Mathematics High School

## Answers

**Answer 1**

**Answer:**

To avoid cutting out a fraction of an inch, we need to choose a value of x that is a factor of both 36 inches and 48 inches, since those are the lengths of the sides of the rectangular sheet of cardboard we are using.

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, and 36.

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

The largest factor that both 36 and 48 have in common is 12. However, we can't choose x to be 12 inches because that would mean the length and width of the rectangular box would also be 12 inches, which is too small for our purposes.

Therefore, we should choose x to be the next largest factor that both 36 and 48 have in common, which is 6 inches. This means we will cut six 6-inch by 8-inch rectangles from the cardboard sheet.

The dimensions of the rectangular box will be:

Length = 2x + 2h = 2(6 in) + 2(8 in) = 12 in + 16 in = 28 in

Width = 2x + 2w = 2(6 in) + 2(12 in) = 12 in + 24 in = 36 in

Height = h = 8 in

**Therefore, the dimensions of the rectangular box are 28 inches by 36 inches by 8 inches**

## Related Questions

Y^2 + 6y+8 when y is -3

### Answers

Answer: -19

y^2 + 6y + 8

-3^2 + 6 x -3 + 8

-9 + 6 x -3 + 8

=-19

The length of a rectangle is three times its width.

If the perimeter of the rectangle is 80 find its length and width.

### Answers

The **length **is 30 unit and **width **is 10 unit.

What is Algebra?

A branch of mathematics known as **algebra deals **with **symbols** and the mathematical **operations **performed on them.

Variables are the name given to these symbols because they lack set values.

In order to **determine **the **values**, these **symbols** are also **subjected** to various addition, subtraction, multiplication, and division arithmetic **operations**.

Given:

**length** of a **rectangle **is three times its width.

**Perimeter** of the rectangle = 80

let the **width** be x then **length **= 3x

So, Perimeter of the rectangle = 80

2( x+ 3x) = 80

4x= 40

x= 10

Thus, the **length** is 30 unit and **width **is 10 unit.

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Question 3(Multiple Choice Worth 2 points)

(Linear Functions LC)

Which of the following graphs represents a linear function?

coordinate plane with a graph that passes through the points negative 3 comma 0 and negative 1 comma negative 4 and 1 comma 0

coordinate plane with a graph drawn that passes through the points negative 4 comma 0 and 0 comma negative 4 and 4 comma 0 and 0 comma 4

coordinate plane with a graph drawn that passes through the points negative 4 comma negative 2 and negative 4 comma negative 1 and negative 4 comma 0

coordinate plane with a graph that passes through the points negative 4 comma 0 and negative 2 comma negative 1 and 0 comma negative 2

### Answers

The** second** and fourth **graphs **represent linear functions.

What is a linear function?

It is defined as the **relation **between two **variables**, if we plot the graph of the linear equation we will get a straight line.

To determine which of the given **graphs **represents a **linear function, **we need to check whether the graph is a straight line.

The first **graph **passes through the **points **(-3, 0), (-1, -4), and (1, 0). We can plot these points and see that they do not lie in a straight line. Therefore, the first graph does not represent a linear function.

The **second **graph passes through the **points **(-4, 0), (0, -4), (4, 0), and (0, 4). We can plot these points and see that they do lie on a straight line. Therefore, the second graph represents a linear function.

The third graph passes through the points (-4, -2), (-4, -1), and (-4, 0). We can plot these points and see that they lie on a vertical line. Therefore, the third graph does not represent a linear function.

The fourth graph passes through the points (-4, 0), (-2, -1), and (0, -2). We can plot these points and see that they do lie on a straight line. Therefore, the fourth graph represents a linear function.

Therefore, the second and fourth graphs represent linear functions.

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Answer: It is the second one

Step-by-step explanation:

Because It makes the most sense

what is 1.18x4?

PLEASE I NEED HELP

### Answers

**Answer:**

4.72

**Step-by-step explanation:**

for essy calculation remove the decimal point

[tex] \frac{0.18}{100} [/tex]

=

[tex] \frac{18}{100} [/tex]

then multiply by 4

you will get

[tex] \frac{18 }{25} [/tex]

= 4.72

which one of the following best describes the notion of the significance level of a hypothesis test?The probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true

The probability of the type I error

The probability of the type II error

### Answers

The Hypothesis test of probability of the type I error is **True.**

The Hypothesis test probability of the type II error is **False.**

The notion of the **significance level **of a hypothesis test is best described by the probability of observing a sample statistic more extreme than the one actually obtained, assuming the null hypothesis is true. This is also known as the "p-value." A significance level is often set beforehand, such as alpha (α) = 0.05, and if the p-value is less than alpha, the null hypothesis is rejected.

The **probability of a type I error** is related to the significance level. A type I error occurs when the null hypothesis is rejected when it is actually true. The probability of a type I error is represented by alpha (α) and is the level of significance that was set for the test.

The **probability of a type II error** is the probability of failing to reject a false null hypothesis. It is represented by beta (β) and depends on the sample size, the true value of the parameter being tested, and the level of significance set for the test.

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the longer diagonal of a field in the shape of a quadrilateral is 120 m and the length of the perpendiculars from the opposite vertex upon a longer diagonal is 20 m and 30 m find the area of the field Step by Step Explaination class 8 lesson no 11 mensuration

### Answers

The **area** of the **field** is 900√10 m².

What is the Pythagorean theorem?

**Pythagorean** **theorem** states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

**Quadrilateral** ABCD.

The **longer** **diagonal** connects vertices A and C, and let E and F be the feet of the perpendiculars from vertices B and D to the longer diagonal AC.

From the **figure**,

BE = 20 m

DF = 30 m

AE = EC = 120/2 = 60 m

Now,

The **area** of the quadrilateral.

The area of a trapezoid.

= (sum of parallel sides) x (height) / 2

Using the **Pythagorean** **theorem,**

AB² = AE² + BE²

60² + 20² = 4000

AB = √(4000)

AB = 20 √10

And,

CD² = CE² + DF²

CD² = 60² + 30²

CD² = 4500

CD = √(4500)

CD = 15 √20

Now,

Area = AB + CD x 1/2 x AC

= 20√10 + 15√20 x 1/2 x 120

= 900√10

Therefore,

The **area** of the **field** is 900√10 m².

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Limosine Company P charges a rental fee plus an additional charge per hour. The equation y = 50 + 30x shows the total cost, y of renting the limosine, and the x represents the hours. The cost to rent a limosine from Company R is shown below in the table. Which statement is true?

A

Company R charges less money for 1 hour of service compared to Company P.

B

Company P has a lower rate of change than Company R.

C

Company P charges $25 more for its rental fee compared to Company R.

D

Company R charges a higher rental fee, but a cheaper rate of change to rent a limosine.

### Answers

The correct statement is -

**company {R}** charges less money for 1 hour of service compared to **company {P}**.

What are algebraic expressions?In mathematics, an expression or **mathematical expression** is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that Limousine Company **{P}** charges a rental fee plus an additional charge per hour. The equation **{y} = 50 + 30x** shows the total cost. The cost to rent a limousine from Company **{R}** is shown below in the table as -

Time : 1 2 3 4 5

Cost : $100 $125 $150 $175 $200

We can write the unit charge for **company {P}** as -

{r₁} = $30

We can write the unit charge for** company {R}** can be calculated as -

{r₂} = (125 - 100)/(2 - 1)

{r₂} = $25

We can conclude -

**company {R}** charges less money for 1 hour of service compared to **company {P}**.

Therefore, the correct statement is -

**company {R}** charges less money for 1 hour of service compared to **company {P}**.

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In the diagram O is the center of the circle if MABC equals 70 what is MAOC ￼

### Answers

The measure of ∠AOC of the **circle **is ∠AOC = 140°

What is Central Angle?

The **central angle **is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a **circle **formula is as follows.

**Central Angle **= ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the measure of ∠ABC of the **circle **= 70°

Now , the sides AO and BO are the radius of the **circle**

where x + y = 70°

So , the measure of ∠AOB = 180 - 2x

And , the measure of ∠COB = 180 - 2y

Now , the measure of ∠AOC = 2 ( x + y )

On simplifying , we get

**Central Angle **= 2 x Angle in other segment

The measure of angle ∠AOC of the circle is = 2 ( 70 )°

The measure of angle ∠AOC of the **circle **is = 140°

Hence , the measure of ∠AOC of **circle **= 140°

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The Gallup Poll interviews 1600 people. Of these, 18% say that they jog regularly. The news report adds: "The poll has a margin of error of plus or minus three percentage points at a 95% confidence level." You can safely conclude that

A. 95% of all Gallup Poll samples like this one give answers within ±3% of the true population value.

B. the percent of the population who jog is certainly between 15% and 21%.

C. 95% of the population jog between 15% and 21% of the time.

D. we can be 95% confident that the sample proportion is captured by the confidence interval.

E. if Gallup took many samples, 95% of them would find that 18% of the people in the sample jog.

### Answers

The correct answer is option D. We can be 95% confident that the **sample **proportion is captured by the **confidence **interval.

The **margin **of error of plus or minus three percentage points at a 95% confidence level means that the true proportion of people who jog regularly in the population is estimated to be between 15% and 21%. We can be 95% confident that the true **proportion **of people who jog regularly falls within this interval.

Therefore, option B is correct. Option A is incorrect because it implies that the margin of error always holds true for any sample size, which is not the case. Option C is incorrect because it presents a range of values for the **population**, not for the estimate. Option E is incorrect because it refers to the proportion of samples that would find the same **sample **proportion, not the range of values within which the true proportion lies.

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In figure below, l || m. Find x.

### Answers

**Answer:**

70

The top line should add up to 180 and both sides other than x are 55 so since 55+55=110 180-110=70

The Function G Is Defined And Differentiable On The Closed Interval [-7,5] And Satisfies G(0)=5. The Graph Of Y = G(X), The Derivative Of G, Consist A Semicircle And Three Line Segments, As Shown In The Figure Above. (A) Find G(3) And G(-2). (B) Find The X-Coordinate Of Each Point Of Inflection Of The Graph Of Y =G(X) On The Interval -7 < X < 5. Explain

### Answers

The **graph** of y = G(x) consists of a semicircle and three line segments. The **function** G is defined and differentiable on the closed interval [-7, 5] and satisfies G(0) = 5.

A) G(3) = 4.5 and G(-2) = 4

B) The x-coordinates of the points of inflection are x = -3, x = 0 and x = 4. This is because the graph has three separate linear segments, each with a point of inflection at the junction between them.

The **graph** of y = G(x) consists of a **semicircle** and three line segments. The function G is defined and differentiable on the closed interval [-7, 5] and satisfies G(0) = 5.

A) To find G(3) and G(-2), we need to identify the y-coordinate of each point on the graph. The y-coordinate of G(3) is 4.5 and the y-coordinate of G(-2) is 4.

B) To find the x-**coordinates** of each point of inflection of the graph of y = G(x) on the interval -7 < x < 5, we need to identify the points where the graph changes direction. These points are located at the **junction** between each of the three linear segments. Therefore, the x-coordinates of the points of inflection are x = -3, x = 0 and x = 4.

the complete question is :

The Function G Is Defined And Differentiable On The Closed Interval [-7,5] And Satisfies G(0)=5. The Graph Of Y = G(X), The Derivative Of G, Consist A Semicircle And Three Line Segments, As Shown In The Figure Above. (A) Find G(3) And G(-2). (B) Find The X-Coordinate Of Each Point Of Inflection Of The Graph Of Y =G(X) On The Interval -7 < X < 5. Explain your reasoning.

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Please answer this question for me

Thanks!

### Answers

According to **hing theorem**, the following inequalities describe each **triangle**:

x < 2x > 3x < 8How to use the hing theorem in geometrical systems

According to **Euclidean geometry**, the **hing theorem** states that if two **triangles** with two pairs of congruent **sides** and the former triangle has larger internal **angle**, then the third side of the former triangle is longer than the third side of the latter triangle.

Mathematically speaking, the relationship between the third can be expressed in terms of inequalities. Now we proceed to express the inequalities in terms of **variable** x for each case below:

3 · x + 4 < 10

3 · x < 6

x < 25 · x + 3 > 18

5 · x > 15

x > 36 · x - 9 < 39

6 · x < 48

x < 8Remark

The letter e has been eliminated from hing[e] due to profanity detector.

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25. The circle has a radius of 7. Angle C

intercepts the arc with a length of 28.

What is the measure of angle C in radians?

### Answers

The measure of **angle** C in radians is 3.6 radians.

What is arc length of circle formula?

The arc length of a **circle** is defined as the interspace between the two points along a section of a curve. An arc of a circle is any part of the circumference. The angle subtended by an arc at any point is the angle formed between the two line segments joining that point to the end-points of the arc.

Given that, the circle has a **radius** of 7 and angle C intercepts the arc with a length of 28π.

We know that, formula to find the arc length of circle is Arc length= θ/360 ×2πr

28π= θ/360×2π×7

4= θ/360×7

θ=1440/7

θ=205.7

θ=3.6 radians

Therefore, the measure of **angle** C in radians is 3.6 radians.

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I really would appreciate if you guys help me

### Answers

**Answer:**

He attended school for 9 hours everyday

**Step-by-step explanation:**

**612/68=9**

This is because he did 9 hours everyday for 68 days until he go 612 hours of barber school, which means that 612 hours/68 days=hours attended per day

Milly bakes cookies to sell for a fundraiser. Her goal is to raise $500. The first day, she reaches 38 of her goal. On the second day, she raises 50% of the remaining money needed to meet her goal. How much money does Milly still need to make to reach her goal?

### Answers

Answer:

$231

Step-by-step explanation:

500-38=462

50% of 462= 231

So she needs to make $231 more to reach her goal

what is the mass to the nearest tenth of a gram of 3.50 moles of sodium metal?

### Answers

**Answer:**

The mass of 3.5 moles of Ca (Sodium) is 140 g to two significant figures.

PLEASE HELP 20 POINTS 1. Jack, Art, Fran, and Megan work as volunteers at the local kennel. Jack gives the dogs baths every 4 days; Art cleans out cages every 6 days; Fran feeds the animals in Section Bevery 2 days; and Megan helps the receptionist every 3 days. How many times in 12 weeks will all 4 helpers be at the clinic on the same day? Show all work and explain how you got your power Due date

### Answers

All **4 helpers** will be at the **clinic** on the same day **7 times** in **12 weeks**.

**What is Prime Factorization?**

"**Prime** **Factorization**" is the **process** of determining which **prime** numbers multiply together to get the **original** **number**.

To find the **number** of times in 12 weeks that all 4 helpers will be at the clinic on the same day, we need to find the **least** **common** **multiple** **(LCM)** of the numbers 4, 6, 2, and 3.

First, we can find the **prime** **factorization** of each **number**:

4 = 2 x 2

6 = 2 x 3

2 = 2

3 = 3

Next, we can find the LCM by taking the **highest** **power** of each **prime** **factor** that appears in the **factorizations**:

LCM = 2 x 2 x 3 = 12

Therefore, all 4 helpers will be at the clinic on the same **day** every 12 days. Since 12 weeks is **equivalent** to 84 days, we can divide 84 by 12 to get the **number** of **times**:

84 ÷ 12 = 7

So, all **4 helpers** will be at the **clinic** on the same day 7 times in 12 weeks.

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47% is it growth or decay

### Answers

47 is an growth because

in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC. Show that BF = CE

### Answers

BF=CE in a triangle ABC, E and F are** mid points** of equal sides AB and AC of triangle ABC.

What is Triangle?

A triangle is a three-sided polygon that consists of** three edges** and three vertices.

Given E and F are **mid point **of equal sides AB and AC of triangle ABC

In ΔABF and ΔACE

AB=AC (given )

∠A=∠A (**common** **angle** )

The side FA is equal to EA

If two sides and the included angle of one triangle are equal to** two sides **and included **angle** of another triangle, then the triangles are congruent

∴ΔABF≅ΔACE (SAS rule)

∴BF=CF ( **Corresponding **parts of Congruent triangles.)

Hence, in a triangle ABC, E and F are **mid points** of equal sides AB and AC of triangle ABC then BF=CE.

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Please answer this question! will give alot of points

### Answers

**Answer: the first question answer is 16.03 ft**

**the answer for number two is here too hand the way to get this answer**

**answer: Elijah is standing from the base of the monument 159.14 feet**

**Step-by-step explanation:**

**see the attached figure to better understand the problem**

**In the right triangle ABC**

** ----> by TOA (opposite side divided by the adjacent side)**

**substitute the given values**

**solve for AC**

**therefore**

**Elijah is standing from the base of the monument 159.14 feet**

**Answer: Elijah is standing from the base of the monument - 1**

**And the answer for number 3 is 850.9 feet**

What is 0.25 as an improper fraction?

### Answers

**Answer:**

1/4

**Step-by-step explanation:**

0.25 * 4 = 1

so, 1/4 = 0.25

how to convert m/s to rad/s?

### Answers

By using the formula that connects the linear **velocity** to the angular velocity, we may convert metres per second (m/s) to **radians** per second (rad/s).

Using the formula that connects the linear **velocity** to the angular velocity, we may convert metres per second (m/s) to radians per second (rad/s).

The equation reads: **Radius** divided by linear velocity gives you the angular velocity (). (r) where R is in metres, V is in m/s, and is in rad/s.

Direct conversion from m/s to rad/s is not possible if the radius is omitted. The **aforementioned** formula can be used to determine the missing value and then convert m/s to rad/s if you know the radius or the angular velocity. You can use the formula to determine the angular velocity in rad/s, for **instance**, if you know the linear velocity v in m/s and the radius r in metres.

ω = v / r

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what is the answer to this

### Answers

The **value **of x is 15√2

The **value **of the **side **y is 30

How to determine the length of the sides

The sum of angles in a rectangle is 360 degrees

To determine the value of the variable, x

Let's use the **trigonometric identity**, cosine

cos = adjacent/hypotenuse

substitute the values

cos 45 = 15/x

Find the value

1/√2 = 15/x

cross multiply

x = 15√2

For y, we have;

sin 45 = y/15√2

1/√2 = y/15√2

Make y subject

y= 15√2 /√2

y = 60/2

y = 30

Hence, the **values **are 30 and 15√2

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how many pattern block triangles would create 3 hexagons

### Answers

If you draw all the **diagonals** of a normal **hexagon**, there are 3*6=18 possible **triangles**; however, three of those are **identical** (the **equilateral** triangles), leaving us with 18-3=15 triangle possibilities.

In terms of **geometry**, a hexagon is a closed, six-sided **polygon** in two dimensions. A hexagon has six **angles** and six **vertices**. **Hexa** and gonio both denote the number six. A hexagon can be found in the **shapes** of a **honeycomb**, a **football**, a **pencil face**, and floor tiles. a standard hexagonal 2D geometric polygon with six equal-length sides and six equal-sized angles. All of the lines are closed, and there are no curving edges. A regular **hexagon** has 720 degrees of internal angles. Additionally, these shapes have six rotating and six reflective symmetries.

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An aerial photograph is taken of a building. The photograph is made when the angle of elevation of the sun is 24 degrees. The shadow is determined to be 60 feet long. How tall is the building?

### Answers

**Answer:**

36

**Step-by-step explanation:**

Each month, a phone company charges $35 for 600 minutes of talk time

plus $0.35 for each additional minute. Unlimited texting costs $20 more.

Write an expression to show the cost of a talk-and-texting plan for one

month, given x minutes over 600.

### Answers

The requried **expression **that describes the cost of a talk-and-texting plan for one month, given x minutes over 600 is 35 + 0.35(x) + 20.

What are equation models?

The **expression model **is described as the model of the given situation in the form of an equation using **variables **and **constants**.

here,

The cost of a talk-and-texting plan for one month can be expressed as:

= 35 + 0.35(x) + 20

where x is the number of minutes over the 600 minutes included in the plan. The first two terms represent the cost of talk time, while the last term represents the cost of unlimited texting.

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction barts).

In the given diagram, ARST is a right triangle with MPL ST. Segment RT is divided into 5 equal parts.

R(4.3,7.4)

T(-8.5,-2.2)

M

S(4.3,-2.2)

The coordinates of point O are (

), and the coordinates of point M are (

### Answers

The **coordinates** of P are (-0.82, 3.56).

The **coordinates** of M are (-2.1, -2.2).

What is a midpoint of a line segment?

The **midpoint** of a line segment is written as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) are the coordinates of the **midpoint** and (a, b) and (c, d) are the two **endpoints**.

We have,

R = (4.3, 7.4)

T= (-8.5, -2.2)

S = (4.3, -2.2)

Segment RT is **divided** into 5 equal parts.

So,

TP : PR = 3 : 2 = m : n

The **coordinates** of P.

T= (-8.5, -2.2) = (a, b)

R = (4.3, 7.4) = (c, d)

x = [tex]\frac{mc + na}{m + n}[/tex]

x = [tex]\frac{3\times4.3 + 2\times-8.50}{5}[/tex]

x = [tex]\frac{12.9 - 17}{5}[/tex]

x = [tex]\frac{-4.1}{5}[/tex]

x = -0.82

And,

y = [tex]\frac{md + nb}{m + n}[/tex]

y = [tex]\frac{3\times7.4 + 2\times-2.2}{5}[/tex]

y = [tex]\frac{22.2 - 4.4}{5}[/tex]

y = 3.56

The **coordinates** of P are (-0.82, 3.56).

Now,

T= (-8.5, -2.2)

S = (4.3, -2.2)

M is the **midpoint** of TS.

So,

M = (x, y)

x = [tex]\frac{(4.3 - 8.5)}{2}[/tex] = [tex]\frac{x-4.2}{2}[/tex] = -2.1

y = [tex]\frac{-2.2 - 2.2}{2}[/tex] = [tex]\frac{-4.4}{2}[/tex] = -2.2

M = (x, y) = (-2.1, -2.2)

Thus,

The **coordinates** of P = (-0.82, 3.56).

The **coordinates** of M = (-2.1, -2.2).

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**Answer:**

The answer is (-3.38,1.64),(-0.82,-2.2)

**Step-by-step explanation:**

I just got it right on the test

PLEASE HELP AS FAST AS POSSIBLE

### Answers

**Answer:**

l is parallel to m and u is parallel to t

**Step-by-step explanation:**

Parallel line means that never meet each other

Describe the type and degree of association in the scatter plot and what it means in terms of the time the player spent practicing and the number of points he scored in the game.

As the time a basketball player practices increases, the number of points scored in a game increases with a strong linear association.

As the time a basketball player practices increases, the number of points scored in a game increases with a strong nonlinear association.

As the time a basketball player practices increases, the number of points scored in a game decreases with a weak linear association.

As the time a basketball player practices increases, the number of points scored in a game decreases with a weak nonlinear association.

### Answers

As the time a basketball player practices **increases**, the number of points scored in a game **decreases** with a weak nonlinear association

What is Graph?

Graph is a mathematical representation of a **network** and it describes the relationship between lines and points.

Given a **scatter plot **in terms of the time the player spent practicing and the number of points he scored in the game.

A scatter plot uses dots to represent values for two **different numeric variables. **

The position of each dot on the **horizontal** and vertical axis indicates values for an individual data point.

As the time a basketball player practices **increases**, the number of points scored in a game **decreases** with a weak nonlinear association.

Hence, As the time a basketball player practices **increases**, the number of points scored in a game **decreases** with a weak nonlinear association

To learn more on **Graph** click:

https://brainly.com/question/17267403

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Bella and George each ordered a

personal pan pizza. Bella ate of 1

4th

Pizza and George ate

7

8th of his pizza. How much more did George eat

### Answers

**Answer: 5/8**

**Step-by-step explanation:**

We can make the fractions easier to read by changing 1/4 to 2/8, simply by multiplying the fraction by 2/2.

2/8 : 7/8

now you can see how much more George ate.

7/8 - 2/8 = 5/8

George ate 5/8 more than Grace.