Surface area of rectangular prism

Answer:

Common factor of 4
Simplest terms is 16/27

Step-by-step explanation:

Let's find the factors of both numbers

64:

108:

The greatest common factor is 4

The fraction in simplest terms would be [tex]\frac{64}{108}*\frac{4}{4} = \frac{16}{27} \text{ cross reduce}[/tex]

-Chetan K

By taking the product of the two fractions we will see that the number that goes in the green box is a 6.

We only can add two fractions if we have the same denominator in both of them, here we want to transform -2/3 in an equivalent fraction, such that the denominator is 9, so we multiply both the numerator and denominator by 3.

So we need to solve:

[tex]\frac{-2}{3}*\frac{3}{3} = \frac{-2*3}{3*3} = \frac{-6}{9}[/tex]

From that, we can conclude that the number that goes in the green box is 6.

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Answer:

The dimension of the room is Length of 5m and Width of 8m

Step-by-step explanation:

Formula for perimeter of a rectangle is;

P = 2(L + W)

Where;

L is length

W is width

We are given;

Width; W = 1.6L

Perimeter; P = 26 m

Thus;

2(1.6L + L) = 26

2(2.6L) = 26

5.2L = 26

L = 26/5.2

L = 5 m

W = 1.6 * 5

W = 8 m

We have to find the sum of 219 and 763 . So , let's proceed :-

[tex]{:\implies \quad \sf 219+763}[/tex]

[tex]{:\implies \quad \sf (200+19)+(700+63)}[/tex]

[tex]{:\implies \quad \sf 200+19+700+63}[/tex]

[tex]{:\implies \quad \sf (200+700)+(19+63)}[/tex]

[tex]{:\implies \quad 900+82}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{982}}}[/tex]

Hence , The required sum is 982 :D

Answer:

7 ÷ 4/5 is 8.75 as a decimal or 8 3/4 as a fraction

Answer:

8¾

Step-by-step explanation:

7÷ 4/5

7 × 5/4

= 35/4

= 8¾

Given :difference between 2 whole number = 66ratio of the 2 whole number =2:5Let:1 whole number be 2x2 whole number be 5xA/Q

difference between 2 whole number = 66

Let's turn it into algebraic equation:

5x - 2x = 663x= 66x =66 /3x =22

Now Let's put value of x to find two whole numbers

Finaly :1 whole number = 2x1 whole number = 2×221 whole number =44

2 whole number = 5x2 whole number = 5×222 whole number = 110

[tex]\huge \text{Hello there! :)}[/tex]

Answer:

130 cents, or $1.30.

Step-by-step explanation:

To find the total cost of the meal, add the costs of each product.

Since the cost of the sandwich was 80 cents, the cost of the milk was 20 cents and the cost of the pie was 30 cents, then the total cost of the meal (in cents) is:

[tex]80+20+30[/tex]

Add the numbers from left to right. Since 80+20 is equal to 100, then:

[tex]80+20+30=100+30[/tex]

Finally, notice that 100+30 is equal to 130:

[tex]100+30=130[/tex]

So, the total cost of the meal was 130 cents. Each 100 cents is equal to 1 dollar. Then, 130 cents is the same as $1.30.

Therefore, the cost of the meal was 130 cents, or $1.30.

It was a pleasure helping you today! :)

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Answer: $1.30

Step-by-step explanation:

Answer:

-7.65

Step-by-step explanation:

Answer:

1. x = 62.7 , y = 12.4

2. x = 5.9 , y = 19.2

Step-by-step explanation:

sorry i dont have the time to explain...

Answer:

the 2nd, 3rd, and 5th option

Step-by-step explanation:

x 12 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given is the proportional relationship.

Use one pair of (d, g) values to determine the equation:

The line is:

Take 2points

Slope:-

[tex]\\ \tt\hookrightarrow m=\dfrac{6-5}{144-120}[/tex]

[tex]\\ \tt\hookrightarrow m=1/24[/tex]

Equation of line in point slope form

[tex]\\ \tt\hookrightarrow y-5=1/24(x-120)[/tex]

[tex]\\ \tt\hookrightarrow 24y-120=x-120[/tex]

[tex]\\ \tt\hookrightarrow x=24y[/tex]

Answer:

About 718.0133  cm³

Step-by-step explanation:

The crucial part is to take V=4/3πr³ and multiply that by 1/2 (or divide by 2) This is because it is asking for half a sphere, which represents a bowl.

You plug in your values, which will look like: (1/2)(4/3)π(7)³. (Remember to insert 7 not 14 since it's asking for radius).

________________________________________________________

7 cubed is 343,

343 * 2/3 is about 228.66

228.66 times 3.14 is about 718.0133

-> or just 718 cm³

Answer:

y = (0, -21)

Step-by-step explanation:

Could i get brainliest?

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

Here's the solution :

[tex]\qquad \sf  \dashrightarrow \: \cos(543 \degree) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cos( 360 \degree+ 183 \degree)[/tex]

[tex]\qquad \sf  \dashrightarrow \: \cos(183 \degree) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cos(180 \degree + 3 \degree) [/tex]

[tex]\qquad \sf  \dashrightarrow \: - \cos(3 \degree) [/tex]

Therefore, the correct choice is D

Answer:

heyy here's your answer hope it helps

Step-by-step explanation:

I think the first one.Because if you rotate it it looks like the picture.

Alex needs a score of about 70 to be in the top 20% of the distribution

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ)/σ

Where x is raw score, μ is mean and σ is standard deviation.

Given that μ = 62, σ = 6, z = 1.28, hence:

1.28 = (x - 62) / 6

x = 69.68

Alex needs a score of about 70 to be in the top 20% of the distribution

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To see which option is the most accurate one, we will verify all the options to see which is correct.

Option A (Correct/Incorrect)

Option A (Reasoning):

In this step, we can see that 3/4 was added to both sides. This can only mean that the property used here is the Addition property of Equality.

Option B (Correct/Incorrect)

Option B (Reasoning):

In this step, subtraction has not been used. It has been clearly stated that 3/4 was added to both sides.

Option C (Correct/Incorrect)

Option C (Reasoning):

In this step, multiplication has not been used. It has been clearly stated that 3/4 was added to both sides.

Option D (Correct/Incorrect)

Option D (Reasoning):

In this step, division has not been used. It has been clearly stated that 3/4 was added to both sides.

Option A is correct.

Addition property of equality is  applied in the first step of equation x/4-3/4=16.

Two or more expressions with an Equal sign is called as Equation.

The given equation is x/4-3/4=16

x divided by four minus three divided by four equal to sixteen.

The first step to solve this equation as

x/4-3/4+3/4=16+3/4

Which means we have added 3/4 on both sides of the equation.

As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal.

So we have used the  addition property of equality

Hence,  addition property of equality is  applied in the first step of equation x/4-3/4=16.

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Answer: 81/8 kg

Step-by-step explanation:

6 + 3/4 = 27/4

1 + 1/2 = 3/2

27/4 x 3/2 = 81/8

27/4*3/2=33/4 kg of apples

Answer:

[tex]y=\dfrac49x[/tex]

Step-by-step explanation:

Let [tex](x_1,y_1)[/tex] = (45, 20)

Let [tex](x_2,y_2)[/tex] = (72, 32)

using slope formula to find slope [tex]m[/tex]:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{32-20}{72-45}=\dfrac49[/tex]

using point-slope formula:

 [tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-20=\dfrac49(x-45)[/tex]

[tex]\implies y-20=\dfrac49x-20[/tex]

[tex]\implies y=\dfrac49x[/tex]

Answer:

The equivalent cost be in U.S. dollars per gallon is 5.617 dollars per gallon.

Step-by-step explanation:

Step-by-step explanation:

1.2

euros per liter= 1.484 dollar per liter

1 dollar per liter = 3.785 dollar per gallon

1.484 dollar per liter = 5.617 dollars per gallon

Answer:

1.14 and -2.64

Step-by-step explanation:

Answer:

B = 4, (y + 4)(y - 4)

Step-by-step explanation:

So both terms are perfect squares. So we want to factor using the difference of squares formula wher a^2 - b^2 = (a + b)(a - b)

a = y and b = 4

Therefore

(y + 4)(y - 4)

Acceleration is the rate of change of velocity over time

His final velocity is 14.4 meters per second

From the question, we have:

Using the first equation of motion, we have:

[tex]v = u + at[/tex]

So, the equation becomes

[tex]v = 0 + 1.8 * 8[/tex]

[tex]v =14.4[/tex]

Hence, the final velocity is 14.4 meters per second

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Answer: w = 9

Isolate the variable by dividing each side by factors that don't contain the variable. First, we rearrange the terms.

18 + 4w = 6w

4w + 18 = 6w

Now we subtract 18 from both sides.

When we simplify, we get that w = 9.

Step-by-step explanation:

Hope this helps =)

Answer:

w = 9

Step-by-step explanation:

Rearrange terms

4w + 18 = 6w

Subtract 18 from both sides of the equation

4w+18-18 = 6w -18

Simplify

4w=6w-18

Subtract 6w from both sides of the equation

4w-6w=6w-18-6w

Simplify

-2w=-18

Divide both sides of the equation by the same term

-2w = -18/-2

Simplify

w = 9

[RevyBreeze]

Answer:

BCE

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplify the equation:

Solve the equation. Find y:

y = 7.

Answer:

0.-3 simplified is -3