What is the area of the trapezoid?





168 square inches

192 square inches

44 square inches

64 square inches

Here is the work along with the answer to the problem.

Answer:

the amount the grocer spend on marketing last year = $ 1048.38

Step-by-step explanation:

To find the budget we will subtract the current marketing budget number from 100

As 38% = 0.38

i.e, 100 - 0.38= 0.62

Now divide the previous year budget amount percentage found by the amount spent this year

=650 / 0.62

= 1048.38

Final answer:

To find out how much the grocer spent on marketing last year, divide the current amount he spent by the remaining percentage of the original amount before the cut.

Explanation:

To find out how much the grocer spent on marketing last year, we need to determine the original amount before the 38% cut. Let's assume the original amount is x. If the grocer cut the marketing budget by 38%, it means he spent 100% - 38% = 62% of the original amount. The equation can be set up as: 0.62x = $650. To solve for x, divide both sides of the equation by 0.62. So, x = $650 ÷ 0.62 = $1048.39.

Answer:

c.) (3x^ -3)/4

Step-by-step explanation:

when you move something from the top to the bottom or vice versa, it becomes negative or in this case, changes the sign

Answer:

im pretty sure its c

Step-by-step explanation:

the area of ABCD is 135

Answer:

2212.5 cm²

Step-by-step explanation:

ABCD is constructed from 2 right triangles ABD and BCD

The area (A ) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

In ΔABD, b = AD = 60 and h = AB = 25, hence

A = [tex]\frac{1}{2}[/tex] × 60 × 25 = 30 × 25 = 750 cm²

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In ΔBCD, b = BD = 65 and h = CE = 45, hence

A = [tex]\frac{1}{2}[/tex] × 65 × 45 = 1462.5 cm²

----------------------------------------------------------------------------

The area of figure ABCD = area of ΔABD + area of ΔBCD

A = 750 + 1462.5 = 2212.5 cm²

Answer:

140

Step-by-step explanation:

35/ 100 = 49/?

49 times 100 equals 4900

4900/35 is 140

Answer:71 Apartments

Step-by-step explanation: 35/49=x/100

49x=3500

x=71

Answer:

The length of fencing will be [tex]300\ ft[/tex]

Step-by-step explanation:

Step 1

Find the dimensions of the rectangle

we know that

The area of a rectangle is equal to

[tex]A=bh[/tex]

In this problem we have

[tex]A=5,000\ ft^{2}[/tex]

so

[tex]5,000=bh[/tex] -----> equation A

[tex]b=\frac{h}{2}[/tex] -----> equation B

Substitute equation B in equation A

[tex]5,000=(\frac{h}{2})h[/tex]

[tex]10,000=h^{2}[/tex]

square root both sides

[tex]h=100\ ft[/tex]

Find the value of b

[tex]b=\frac{h}{2}[/tex] -----> [tex]b=\frac{100}{2}=50\ ft[/tex]

step 2

Find the length of fencing

The perimeter of a rectangle is equal to

[tex]P=2(b+h)[/tex]

we have

[tex]h=100\ ft[/tex]

[tex]b=50\ ft[/tex]

substitute

[tex]P=2(50+100)=300\ ft[/tex]

Answer:

32.7 percent

Step-by-step explanation:

18000 divided by 55000

Answer:

Option B. The Lateral area is 692 cm2

Step-by-step explanation:

Verify each statement

case A) The area of the base  is 384 cm2

The statement is False

Because

The area of the base is

[tex]B=\frac{1}{2}(24)(16)=192\ cm^{2}[/tex]

case B) The Lateral area is 692 cm2

The statement is True

Because

we know that

The lateral area is equal to the area of its three triangular lateral faces

so

[tex]LA=2(\frac{1}{2}(20)(22))+ \frac{1}{2}(24)(21)=692\ cm^{2}[/tex]

case C) The surface area is 740 cm2

The statement is False

we know that

The surface area is equal to the lateral area plus the area of the base

so

[tex]SA=LA+B[/tex]

we have

[tex]LA=692\ cm^{2}[/tex]

[tex]B=192\ cm^{2}[/tex]

substitute

[tex]SA=692+192=884\ cm^{2}[/tex]

case D) The area of each congruent face is 264 cm2

The statement is False

The area of  each congruent face is equal to

[tex]A=\frac{1}{2}(20)(22)=220\ cm^{2}[/tex]

Answer: the answer is 11

Step-by-step explanation: to find the value of x, you must find the average of the two bases. So the equation would be 56= 4x+2x-10. Once you simplify that, you get x=11.

0.5(4x-10 + 2x) = 28

3x-5=28

3x=33

x=11

2x=x+8

Subtract x on both sides

X=8

So PQ=8

Answer:

Step-by-step explanation:

the answer is 18

First move the constant to the other side causing it to change sides

4x<-6-6

Then calculate the difference (-6-6)

4x<-12

Now divide both sides by 4

X<-3

Then you are left with your answer:

x<-3

Hope this helps! :3

Answer:

x < -3

Step-by-step explanation:

4x + 6 < - 6

Taking "6" from Left side of the equation to the right hand side, the sign "=6" changes to "-6", and we get,

4x < - 6 -6

Now, on right hand side, since both signs are same, therefore they add up to get,

4x < - 12

now, divide the complete equation by 4 we get,

4x/4 < -12/4

⇒ x < -3

Thus, the values that x can take are : -4,-5,-6,...-10....-20,....and so on

Answer:

g=676

Step-by-step explanation:

g/13=52

We simplify the equation to the form, which is simple to understand  

g/13=52

Simplifying:

+ 0.0769230769231g=52

We move all terms containing g to the left and all other terms to the right.  

+ 0.0769230769231g=+52

We simplify left and right side of the equation.  

+ 0.0769230769231g=+52

We divide both sides of the equation by 0.0769230769231 to get g.

The number of sugar cups required will be 12.5.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a cake recipe calls for 2¹/₂ cups of sugar. The number of cups of sugar for 5 cakes will be calculated as,

Number = 5 x (  2¹/₂ )

Number = 5 x 2.5

Number = 12.5 cups

Therefore, the number of sugar cups required will be 12.5.

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To bake 5 cakes, you would need 12 1/2 cups of sugar by multiplying 2 1/2 cups, the amount needed for one cake, by the number of cakes.

To calculate how many cups of sugar are needed to bake 5 cakes when a single cake recipe calls for 2 1/2 cups of sugar, you can simply multiply the amount of sugar needed for one cake by the number of cakes you plan to bake. Therefore, you have:

2 1/2 cups of sugar/cake × 5 cakes = 12 1/2 cups of sugar.

Here's the step-by-step calculation:

Therefore, you need 12 1/2 cups of sugar to bake 5 cakes.

Answer:

b

Step-by-step explanation:

Answer:

Option A. 1 mile per minute.

Step-by-step explanation:

Brandon has traveled after the specified period of time. The table shows his covered distance in a specific time.

Minutes    0     5     10     15     20     25

Miles         0    3      7      12      17      21

In this question we have to calculate speed per minute in between 15 and 20 minutes.

As we can see in the table from 15 to 20 minutes, he traveled :

17 - 12 = 5 miles  Time taken = 20 - 15 = 5 minutes

Speed = [tex]\frac{distance}{time}[/tex]

S =  [tex]\frac{5}{5}[/tex] = 1 mile per minute.

Option A) 1 mile per minute

30k just multiply the 2 by 15 and get 30k

Answer:

40%

Step-by-step explanation:

120/300 is 0.4 convert to percentage it is 40%

Answer:

81/16

Step-by-step explanation:

This expression  27/8^ 4/3 is best written as

  27

( ------ )^(4/3)

    8

Noting that both 27 and 8 are perfect cubes, we rewrite this expression as

  27

[ ( ------ )^(1/3) ] ^4

    8

Note how 27^(1/3) = ∛27 = 3 and 8^(1/3) = ∛8 = 2, so we obtain:

     3

[ ( ------ ) ] ^4

      2

This can be left as is, or rewritten as

     3^4              81

[ ( -------- ) ]  =  --------

      2^4             16

The value of the given exponential expression will be 81/16. Then the correct option is C.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

[tex]\rightarrow \left ( \dfrac{27}{8} \right)^{\frac{4}{3}}[/tex]

Simplify the expression, then we have

⇒ ∛[(27/8)⁴]

⇒ ∛[{(3/2)³}⁴]

⇒ ∛[{(3/2)⁴}³]

⇒ (3/2)⁴

⇒ 3⁴ / 2⁴

⇒ 81 / 16

The value of the given exponential expression will be 81/16. Then the correct option is C.

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Answer:

They will each get 1/12 of the enchiladas. This is because 1/4 of the 1/3 enchiladas is 1/12.

Please mark Brainliest if I'm correct!

The mass of each book in the box is 2000 grams.

In this question, we are given the total mass of the books in a box and the number of books in that box. We are being asked to determine the mass of each book in grams.

We know that there are 10 books in the box and the total mass for all the books is 20 kg. As 1 kilogram is equal to 1000 grams, the total mass of the books in the box is 20 kg x 1000 g/kg = 20000 grams.

Now, to find the mass of each book, we divide this total mass by the number of books. Therefore, the mass of each book is 20000 g / 10 books = 2000 grams per book.

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Each book has a mass of 2,000 grams.

To find the mass of each book in grams, we need to convert the mass of the box from kilograms to grams by multiplying it by 1000.

So, 20 kilograms is equal to 20,000 grams.

Since there are 10 books in the box, we can divide the mass of the box by the number of books to find the mass of each book.

Therefore, each book has a mass of 2,000 grams.

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Answer:

100 feet^2.

Step-by-step explanation:

What you do is based off the formula for the perimeter of a square which is 4a.

You will take the 40 and divide it by 4 to get 10.

Then you will take the formula for the area of a square which is a^2.

So you take 10 and square it to get 100.

Answer:

100² is the answer my guy

Step-by-step explanation:

Answer:

C ($6,250)

Step-by-step explanation:

25 cartons with 5 stereos per carton=125 stereos total

profit for one stereo=80-30=50

125*50= 6250

After selling all the stereos, the company's profit will be $ 6250.

Profit is considered as the gain amount from any business activity. Whenever a shopkeeper sells a product, his motive is to gain some benefit from the buyer in the name of profit.

Here, Ray have 25 cartons with 5 stereos per carton

          So total Ray have,  25 X5 = 125 stereos

      profit on one stereo = 80 - 30 = $50

        Total profit on 125 stereos = 125*50=  $ 6250

Thus, after selling all the stereos, the company's profit will be $ 6250.

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Answer:

The result is 16c^6/49b^8.

Answer:

I don't actually have an image but i think the coordinate point is (-6,1)

I hope this helps

Answer:

x = 25

Step-by-step explanation:

To find the answer, use the Pythagorean Theorem.

a^2 + b^2 = c^2

7^2 + 24^2 = c^2

49 + 576 = c^2

625 = c^2

25 = c

Answer:

x = 25

Step-by-step explanation:

By Pythagorean Theorem

AC² = AB² + BC²

(x)² = (24)² + (7)²

(x)² = 576 + 49

(x)² = 625

x = 25

-TheUnknownScientist

For this case we must factor the following expression:

[tex]4p ^ 2 + 36p + 81[/tex]

We rewrite [tex]4p ^ 2\ as\ (2x) ^ 2\ and\\ \\81\ as\ 9 ^ 2[/tex]

So:

[tex](2p) ^ 2 + 36p + 9 ^ 2[/tex]

Verify the term of the medium:

[tex]2ab = 2 * (2p) * 9\\2ab = 36p[/tex]

We factor using the perfect square trinomial rule:

[tex]a ^ 2 + 2ab + b ^ 2 = (a + b) ^ 2[/tex]

Where:

[tex]a = 2p\\b = 9[/tex]

So, we have:

[tex](2p + 9) ^ 2[/tex]

Answer:

Option b

Answer:

the answer is x=8, y=7

Answer:

Step-by-step explanation:

Look at the picture.

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the graph we have the points (-5, 2) and (-3, 0). Substitute:

[tex]m=\dfrac{0-2}{-3-(-5)}=\dfrac{-2}{2}=-1[/tex]

The answer is 20/6 or 10/3

Answer:

3 1/3

------------------

7/6 + 13/6

7 + 13 = 20/6

Now, since it's an improper fraction {20/6} you have to divide. 20 ÷ 6 = 3 2/6 you can simplify 2/6 so simplified to its max is 1/3.

- an improper fraction is when the numerator is bigger than the denominator.

Hope this helps