Find the quotient.
23 : 52

Answer:

4 gallons

Step-by-step explanation:

First find the area of the deck

A = l*w

    42 * 28 =1176 ft^2

Divide the area by 350 ft^2 per gallon

1176/350 =3.36

We need to buy full gallons so we round up

4 gallons

yes because you have to pay more it's tricky

Answer:

6q +2

Step-by-step explanation:

4q+3+2q-1

Combine like terms

4q+2q + 3-1

6q +2

Answer:

4q+3+2q−1

The like terms are 4q & 2q as well as 3 & -1

Add them together: 4q + 2q = 6q

And: 3 + (-1) = 2

The simplified expression is 6q+2

Answer:

B or 4

Step-by-step explanation:

Answer:

7.4cm

Step-by-step explanation:

diameter =2radius

=2×4.7

=7.4cm

The diameter of circle A with a radius of 4.7 cm is 9.4 cm.

To find the diameter of a circle, you can use the formula: diameter = 2 * radius. Given that circle A has a radius of 4.7 cm, the diameter would be 2 * 4.7 = 9.4 cm.

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Answer:

Step-by-step explanation:

7(4p +2q +3r)= 7*4p + 7*2q + 7*3r

                     = 28p + 14q + 21r

Answer:

28p + 14q + 21r

Step-by-step explanation:

There you go hope that helps

Answer:

2 > x

Step-by-step explanation:

-2x + 6 > 3x - 4

Add 2x to each side

-2x+2x + 6 > 3x+2x - 4

6 > 5x-4

Add 4 to each side

6+4 > 5x-4+4

10 >5x

Divide each side by 5

10/5 > 5x/5

2 > x

Answer:

x < 2

Step-by-step explanation:

-2x + 6 > 3x - 4

6 + 4 > 3x + 2x

10 > 5x

2 > x

x < 2

First, we have to add them all together to get the total amount of markers.

2 + 1 + 3 + 2 + 2 = 10

Red: 3/10

Yellow: 2/9

3/10 x 2/9 = 6/90

Simplify: 6/90 = 1/15

C. 1/15 would be your answer.

Hope this helps! Have a great day!

Answer:

17

Step-by-step explanation:

Answer:

Step-by-step

Two Small End squares

Square area = s^2

s = 3

s^2 = 9

But there are 2 of them so the total area = 2 * 9 = 18

Two Middle Triangles.

The height of each triangle = 7 - 3 = 4

The height of each triangle =  4/2 = 2

Each triangle has a height of 2

The length of each triangle = 5 + 5 = 10

Area of one triangle = 1/2 * 2 * 10 = 10

Area of both triangles = 20

Area of Left over rectangle.

Area = L*W

Area = 10 * 3

Area = 30

Total Area

30

20

18

68  is the total area.

Which I think is A. I really can't read the choices well

Answer:

68 In²

Step-by-step explanation:

Because it is the "Correct Answer"

Answer

The student ate 72ounces of fruit snacks

Explanation

If there are 20packs of fruit snacks in a box and each pack weighs 6 ounces, the total weight of 20packs will be 20×6 = 120ounces

If there are 48 ounces of fruit snacks left in the box after student has eaten some, the amount of ounces of fruit eaten by the student will be:

Total number of ounces of 20packs - weight of left over snacks

= 120-48

= 72ounces

The students ate 72 ounces of fruit snacks.

First, we need to calculate the total weight of the fruit snacks when the box is full. Since there are 20 packs in a box and each pack weighs 6 ounces, the total weight of a full box is:

[tex]\[ 20 \text{ packs} \times 6 \text{ ounces/pack} = 120 \text{ ounces} \][/tex]

Next, we are given that there are 48 ounces of fruit snacks left in the box after the students have eaten some. To find out how many ounces were eaten, we subtract the remaining weight from the total weight of a full box:

[tex]\[ 120 \text{ ounces} - 48 \text{ ounces} = 72 \text{ ounces} \][/tex]

Therefore, the students ate 72 ounces of fruit snacks.

The students ate 72 ounces of fruit snacks.

We need just to put y and z into polynomial, so

[tex]0.3 \times 10 + \frac{10}{5} = 3 + 2 = 5 \\ [/tex]

Answer:

YES

Step-by-step explanation:

it is negative and it not a whole number there is a decimal point

Answer:

7.5 meters long

Step-by-step explanation:

10/2 = 5

15/2 = 7.5

The shadow is half as long as the pole.

hope this helps :)

Answer:

7.5 meters

Step-by-step explanation:

Actual : shadow

10 : 5

15 : X

10/5 = 15/X

X = 15 × 5/10

X = 7.5

Answer:

The ratio of the total surface area to the lateral (curved) surface area of the cylinder is 5:3

Step-by-step explanation:

The height of a right circular cylinder is 1.5 times the radius of the base.

Let the radius of base be x

So, Height of a right circular cylinder = 1.5x

Total surface area of cylinder =[tex]2 \pi r h + 2 \pi r^2 = 2 \pi r(h+r)=2 \pi \times x(x+1.5x)=2 \pi \times x \times 2.5x[/tex]

Curved surface area of cylinder = [tex]2 \pi rh = 2 \pi \times x \times 1.5 x[/tex]

So, Ratio of the total surface area to the lateral (curved) surface area of the cylinder = [tex]\frac{2 \pi \times x \times 2.5x}{2 \pi \times x \times 1.5 x}=\frac{2.5}{1.5}=\frac{25}{15}=\frac{5}{3}[/tex]

Hence the ratio of the total surface area to the lateral (curved) surface area of the cylinder is 5:3

Answer:

102

Step-by-step explanation:

Answer:

x = ±8

Step-by-step explanation:

X^2- 64

Set this equal to 0

x^2 -64 =0

Add 64 to each side

x^2-64+64 = 64+64

x^2 = 64

Take the square root on each side

x = ±sqrt(64)

x = ±8

Answer:

Step-by-step explanation:

a²-b²=(a+b)(a-b)

x²-64=x²-8²

=(x+8)(x-8)

Answer:

502.655

Step-by-step explanation:

I'm not entirely sure this is right but it's what i got.

Answer:

x=10.7

Step-by-step explanation:

Our proportion is

x/4=8/3

We can cross multiply to solve.

This is where you multiply one fraction's numerator with the other fraction's denominator and vice versa.

x*3=4*8

3x=32

Divide both sides by 3.

x=10.6666666667

Round.

x=10.7

Answer:

10 2/3

Step-by-step explanation:

Make each fraction have the same denominator, which is gonna be 12, then you get 32/12 = 3x/12. So you divide 32 by 3x, which leaves you with x=10 2/3.

Answer:

[tex]\frac{x}{3}[/tex]+4

Step-by-step explanation:

I don't think it can be simplified more than that

Answer:

x= -12

Step-by-step explanation:

x/3 -2+6 =0

x/3 +4 =0

x/3 = -4

x/3 (3) = -4 (3)

x = -12

Answer:

2 1/6 chapters per hour

Step-by-step explanation:

Find the unit rate, as follows:

   9.75 chapters

 ----------------------- = 2.166666 ... chapters per hour, or

     4.5 hours                            2 1/6 chapters per hour

The unit rate in chapters per hour is 13/6.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Chang reads 9 3/4 chapters in 4 1/2 hours.

So, the unit rate of reading is

= 9 3/4 / (4 1/2)

= (39/4) / (9/2)

= 39/4 x 2/9

= 13/2 x 1/3

= 13/6.

Hence, the unit rate is 13/6.

Learn more about Unitary Method here:

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Answer:

706.95in²

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder

Step one

The trash can has a cylindrical shape

The distance from the center to the edge is the radius r= 15in

Step two

Area of top (circular ) = πr²

A= 3.142*15²

A= 3.142*225

A= 706.95in²

Answer:

d ≤ 95

Step-by-step explanation:

The inequality that states we have at most 95 days is d≤ 95.

A connection between two expressions or values that is not equal to one another is referred to as "inequality" in mathematics.

The inequality can be resolved by adding the same amount to each side, subtracting the same amount from each side, multiplying or dividing each side by the same positive integer, and more. If you multiply or divide either side by a negative value, you must flip the inequality sign.

If d represents how many days are left in school this year.

And we have at most 95 days.

Then,

d can not be more than 95.

d ≤ 95

Therefore, the inequality is d ≤ 95.

To learn more about the inequality in mathematics;

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Answer:

Area of shaded region/area of square = [tex]\pi[/tex]/8

[tex]\frac{50\pi cm^2 }{400 cm^2} = \frac{1}{8}[/tex]

Area of the semi-circle: 50[tex]\pi[/tex] cm^2

Step-by-step explanation: The problem asked us to prove that the area of the shaded region within the diagram divided by the area of the square equals 1/8. An image will be provided down below for visual representation.

First, we must figure out the area of the shaded region. We do this by finding the area of the semi-circle inside the arc circle that goes A to C.

Area of a semi-circle (diameter): [tex]A = \frac{\pi * d^2}{8}[/tex]

[tex]A = \frac{\pi *(20)^2}{8}[/tex]

[tex]A = 50\pi cm^2[/tex]

Now to find the area of the shaded region, we must subtract the area of the semi-circle from the area that covers the arc circle AB.

In the diagram, we can see that the arc circle within the square looks like a quarter circle. We need to manipulate the equation to highlight this.

Area of a semi-circle (radius) divided by 4  = [tex]A = \frac{\pi *r^2}{4}[/tex]

[tex]A = \frac{\pi *20^2}{4} \\A = 100\pi\\A = 100\pi - 50\pi \\A = 50\pi cm^2[/tex]

Area of a square = [tex]A = s^2[/tex]

[tex]A = (20)^2[/tex]

A = 400 cm^2

Now we take these two solutions to see if it equal [tex]\frac{\pi }{8}[/tex].

[tex]\frac{50\pi }{400} \\\frac{50*\pi }{50*8} = \frac{\pi }{8}[/tex]

That is how we get to our final answer: [tex]\frac{\pi }{8}[/tex]

Answer: -17.5

Step-by-step explanation:Use this rule:

1. -a-b=-(a+b)−a−b=−(a+b).

-(12.5+4.8)−(12.5+4.8)

2.Use the algorithm method.

1  

1 2 . 5

+  4 . 8

1 7 . 3

3.After simplification, we have:

-(12.5+4.8)=-17.3−(12.5+4.8)=−17.3

4. Therefore, -12.5-4.8=-17.3−12.5−4.8=−17.3.

-17.3−17.3

Answer:

5  2/9

Step-by-step explanation:

Answer: 5 and 2/9

Step-by-step explanation: Since 9 goes into 47 five times with a remainder of 2, 47/9 is equal to the mixed number 5 and 2/9.

Answer:

$3125

Step-by-step explanation:

[tex]A = P(1 + \frac{r}{100} )^{n}[/tex]

A = 250(1 + 0.25)ⁿ

A = (312.5)ⁿ

n = 10

A = $3125

A = I

After converting the annual nominal interest rate to decimal and applying the values, the calculated interest earned on a principal of $250.00 at 4% over 2 years is $20.00.

The student is asking how to find the missing value of interest earned (I) given the principal (P), the annual nominal interest rate (r), and the time (t) in years when the interest is not compounded.

The formula for simple interest is I = P x r x t.

In this example, you'll need to convert the percentage into a decimal.

Hence, the annual nominal interest rate of 4% is written as 0.04 in decimal form.

Now, let's calculate the interest earned over 2 years on a principal of $250.00 at a rate of 4% per year.

I = P x r x t

I = $250.00 x 0.04 x 2

I = $250.00 x 0.08

I = $20.00

Therefore, the missing value of interest earned (I) after 2 years is $20.00.

Answer:

He score lower on the 41 out of 55

Step-by-step explanation:

32/40 = .80 or 80%

41/55 = 0.75 or 75%

Answer:

Lower score in Science

Step-by-step explanation:

32/40 × 100 = 80%

41/55 × 100 = 74 6/12 %

Answer:

x = 3/2 + root(3)/2  or  x = 3/2 - root(3)/2

In vertex form the equation is  y = (x - 3/2)^2 + 3/4

Step-by-step explanation:

y = x^2 - 3x + 3

y = x^2  - 3x  + 9/4  - 9/4 + 3

y = (x - 3/2)^2  + 3/4

I think you want to find the roots to the equation, right?

so  

y = (x - 3/2)^2  + 3/4 = 0

(x - 3/2)^2 = -3/4

x - 3/2 =  root(-3/4)

x = 3/2 + root(3)/2  or  x = 3/2 - root(3)/2

Answer:

a

Step-by-step explanation:

i got it right!

Answer:

A

Step-by-step explanation: i got it right on edg-enuity