A company needs 713 slices of pizza for a company party. If each pizza is cut into 8 slices, about how many whole pizzas should the company purchase. A) 60 B) 70 C) 80 D) 90

Answer:

3737

Step-by-step explanation:

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[tex]\bf \stackrel{dividend}{\cfrac{48}{100}}\div \stackrel{divisor}{\cfrac{8}{10}}\implies \cfrac{48}{100}\cdot \cfrac{10}{8}\implies \cfrac{10}{100}\cdot \cfrac{48}{8}\implies \cfrac{1}{10}\cdot \cfrac{6}{1}\implies \cfrac{6}{10}\implies \cfrac{3}{5}[/tex]

The least number 4 and 10 go into is 20. (4 goes into 20 five times and 10 goes into 20 two times)

Answer:

the answer is D:  median

Step-by-step explanation:

Median and mean are measures of center.

Mean is best to use when the data distribution is symmetric or mostly symmetric, whereas median is best to use when the data distribution is not symmetric, or skewed.

Since the data distribution is skewed and not symmetric, the median is the best measure of center for the data.

Answer:

The answer is C.

The true statement about triangle ABC​ is sin A=cos C. Therefore, option C is the correct answer.

From the given triangle ABC, CA=13 units, BA=12 units and BC=5 units.

Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.

Here,

sin A= Opposite/Hypotenuse

BC/CA=5/13

cos C= Adjacent/Hypotenuse

BC/CA=5/13

So, sin A=cos C

The true statement about triangle ABC​ is sin A=cos C. Therefore, option C is the correct answer.

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the opposite is squared so,

square root of 4 is 2 and 2 squared is 4

The opposite of a square root √ is the squared exponent ²

If you have a number and find the square root of it, you can take the answer and square it to get the original number. Cool, huh?

Answer:

The area is [tex]28\ m^{2}[/tex]

Step-by-step explanation:

I assume that the figure is a square

The area of a square is equal to

[tex]A=b^{2}[/tex]

where

b is the length side of the square

In this problem we have

[tex]b=2(\sqrt{7})=2\sqrt{7}\ m[/tex]

substitute in the formula

[tex]A=(2\sqrt{7})^{2}[/tex]

[tex]A=28\ m^{2}[/tex]

Answer:

x=5

Step-by-step explanation:

(x - 5)(x - 5) = 0

x-5=0

x=5

Check the picture below.

Answer:

24x-20

Step-by-step explanation:

4(6x-5)

Distribute the 4

4*6x -4 *5

24x-20

Answer:

24x-20

Step-by-step explanation:

4*6x=24x

4*5=20

24x-20

Width= 8 cm

Because 192 / 2 = 96 / 12 = 8

SA= (perimeter * height) + 2 (length * width)

SA= (20*12)+2(2*8)

SA= 240+32

SA= 272 cm2

Answer:

Width : [tex]8cm[/tex]

Surface Area : [tex]272cm^2[/tex]

Step-by-step explanation:

Let's consider the formula for the volume of a rectangular prism.

[tex]V=whl[/tex]

Plug the values we know into the equation.

[tex]192=w*2*12 \\ \\ 192=24w \\ \\ w=8[/tex]

So the width is 8cm.

Now let's consider the formula for the surface area of a rectangular prism.

[tex]A=2(wl+hl+hw)[/tex]

Plug in the values we know into the equation.

[tex]A=2(16+24+96) \\ \\ A=2*136 \\ \\ A=272[/tex]

So the surface area is [tex]272cm^2[/tex].

Answer:

x=7

Step-by-step explanation:

We know that When we total the angles in the same arm od trapezoid wee will obtain 180°.

Hence :

12x+3+13x+2=180

25x+5=180

5x+1=36

5x=35

x=7

Greetings From Poland :)

ANSWER

[tex]1 \frac{11}{16} ounces[/tex]

EXPLANATION

It was given that,a bottle of la belle bœuf contains 3/8 ounces of perfume.

We want to find how many ounces of perfume would 4 1/2 bottles contain.

If 1 bottle contains 3/8 ounces;

Then 4½ bottles should contain more ounces.

If more less divides.

4½ bottles contain

[tex] \frac{4 \frac{1}{2} \times \frac{3}{8} }{1} [/tex]

[tex] = \frac{27}{16} [/tex]

=1.6875 ounces.

4 (1/2) bottles of  la belle bœuf contains 1 (11/16) ounces of perfume.

To find out how many ounces of perfume are in 4(1/2) bottles of La Belle Bœuf, we need to multiply the amount of perfume in one bottle by the number of bottles.

First, let's convert 4(1/2) bottles into an improper fraction:

Next, multiply by the amount in one bottle:

Therefore, 4(1/2) bottles of La Belle Bœuf contain 1 (11/16) ounces of perfume.

Answer:

(k + 1)/-21 = 1

k + 1          = 1 . (-21)

k + 1          = - 21

k               = -21 - 1

k               = -22

*this might not be enough so feel free to ask any question

Answer:

x=200

Step-by-step explanation:

x−y=80

3/5 = y/x

Multiply the second equation by x

3/5 x = y/x *x

3/5 x = y

Substitute this into the first equation for y

x-y =80

x - 3/5x = 80

2/5 x = 80

Multiply each side by 5/2 to isolate x

5/2 *2/5x = 80 *5/2

x = 200

You would do 180 - 115 and that gives you the < for 7

Answer:

1. 65 deg

2. 115 deg

3. 115 deg

Step-by-step explanation:

1.

Angles 7 and 8 are supplementary. Their measures add to 180 deg.

m<7 + m<8 = 180

m<7 + 115 = 180

m<7 = 180 - 115

m<7 = 65

2.

Since lines p and q are parallel lines cut by a transversal, corresponding angles 6 and 8 are congruent.

m<6 = m<8

m<6 = 115

3.

Angles 1 and 6 are vertical angles, so they are congruent.

m<1 = m<6

m<1 = 115

Answer:

B

Step-by-step explanation:

The question is on inverse of functions

f(x)=2x-9 -----------to find f ⁻(x)

replace f(x) with y;

f(x)=2x-9----------------y=2x-9

replace y with x and x with y

y=2x-9------------------x=2y-9

solve for y

x=2y-9

x+9=2y

(x+9)/2 =y

replace y with g(x) or f ⁻(x)

g(x)=x+9 /2

For this case, we have by definition, that an irrational number is a number that can not be expressed as a fraction [tex]\frac {a} {b}[/tex], where a and b are integers and b is nonzero.

Some examples are:

[tex]\sqrt {2}, \sqrt {3}, e, \pi.[/tex]

So, that the answer is [tex]\pi.[/tex]

Answer:

Option C

Answer:

4.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Just count all of the groups

Answer:

B. 360 hope it helps

faze up

Answer:

The answer to this is 11.666.....

Step-by-step explanation:

To find mean we add up all value and in this case we add all of which resulting into 105 and to find out average we must divide by the amount of terms (this case numbers)

105/9 gives us an answer of 11.666...

Hope this helps and enlightens your day

To find the mean, you add up all of the numbers, then divide the sum by the amount of numbers you have.

You have 9 numbers:

22, 7, 22, 1, 7, 18, 16, 6, 6

Now you need to add them together

22 + 7 + 22 + 1 + 7 + 18 + 16 + 6 + 6 = 105

Now you divide:

[tex]mean=\frac{105}{9}=\frac{35}{3}[/tex] or 11.6666666666.......

Answer:

x=4

Step-by-step explanation:

From the statement we know that g(x)=3(x-2) and g(x)=6. Then we know that:

6=3(x-2)

Solving for "x":

6=3x-6

12=3x

x=12/3

x=4

Then, the solution is x=4.

For this case we have a function of the form [tex]y = g (x)[/tex]

Where:

[tex]g (x) = 3 (x-2)[/tex]

We want to find the value of "x" if the function is 6, that is, if y = 6

So, we have:

[tex]3 (x-2) = 6\\3x-6 = 6[/tex]

We clear "x":

[tex]3x = 6 + 6\\3x = 12\\x = \frac {12} {3}\\x = 4[/tex]

So, if the function has a value of 6, then [tex]x = 4[/tex]

ANswer:

[tex]x = 4[/tex]

(11x2 + 2x3 + 14 +17x) ÷ (2x + 5)

= (2x^3 + 11x^2 + 17x + 14) ÷ (2x + 5)

= x^2 + 3x + 1 r 9

Answer:

2.2x^2+.4x^2+2.8+3.4x

Step-by-step explanation:

We can factor out a few numbers right off the bat-

(11x^2+2x^3+14+17x) / (2x+5)

(11x^2+2x^2+14+17x) / (5)

Now make the denominator disappear.

(11x^2+2x^2+14+17x) / (5)

2.2x^2+.4x^2+2.8+3.4x

(please contact if wrong)

Answer:

139

Step-by-step explanation:

He originally had 147 books and threw 8 into a pond.

147-8=139

Answer:

1: 8

Step-by-step explanation:

4 : 32

Divide both the left and right side by 4

4/4 =1

32/4 = 8

4:32  becomes  1:8

Answer:

sorry i do not know

Step-by-step explanation:

[tex]x = 0.4828282[/tex]

[tex]1000x = 482.828282[/tex]

[tex]999x = 482.346[/tex]

[tex]x = \frac{482}{999} + \frac{362}{1000} [/tex]

[tex]x = \frac{843638}{999000} [/tex]

Answer:

[tex]\dfrac{239}{495}[/tex]

Step-by-step explanation:

[tex]\text {Let x = } 0.4 \overline {82}[/tex]

[tex]1000x = 482. \overline {82}[/tex]

[tex]10x = 4. \overline {82}[/tex]

[tex]1000x - 10x = 482. \overline {82} - 4. \overline {82}[/tex]

[tex]990x = 478[/tex]

[tex]x = \dfrac{478}{990}[/tex]

[tex]x = \dfrac{239}{495}[/tex]

Well answer is 2 cause 1/4+1/4 is 1/2

Answer:

4[tex]\frac{7}{12}[/tex] cups of Salsa.

Step-by-step explanation:

Flora is making Salsa for a party.

Every 1 cup of chopped tomatoes makes 2[tex]\frac{3}{4}[/tex] = [tex]\frac{11}{4}[/tex] cups of Salsa

She uses 1[tex]\frac{2}{3}[/tex] = [tex]\frac{5}{3}[/tex] cups of tomatoes

1[tex]\frac{2}{3}[/tex] cups of tomatoes makes:

[tex]\frac{5}{3}[/tex] ×  [tex]\frac{11}{4}[/tex] ÷ 1 = [tex]\frac{55}{12}[/tex] = 4[tex]\frac{7}{12}[/tex] cups of Salsa.

Answer:

D. g(x) = -x^2 - 4

Step-by-step explanation:

(A.P.E.X)

The required function g(x) = -x²- 4. Option D is correct.

f(x) = x², g(x) to be determine with help of graph.

Function is defined as y = f(x). For every x their is certain value of y.

Here, from the graph g(x) is reflection of f(x) at y = -4.
So g(x) = -f(x) - 4
negative sign for reflection.
g(x) = -x²-4

Thus, The required function g(x) = -x²- 4.

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Answer:

6) LA = 90 units² and SA = 202 units²

7) LA = 377 units² and SA = 477.5 units²

8) LA = 208 units² and SA = 232 units²

9) LA = 455 units² and SA = 591 units²

Step-by-step explanation:

* Lets revise the rules of lateral area and surface area

- Lateral area of the solid = perimeter of its base × its height

- Surface area = lateral area + 2 × area of its base

* Now lets solve the problems

6) The solid is a rectangular prism

- Its base is a rectangle with dimensions 8 units and 7 units

- Its height is 3 units

∵ Perimeter of the rectangle = 2(L + W)

∴ Perimeter of the base = 2(8 + 7) = 2(15) = 30 units

∴ LA = 30 × 3 = 90 units²

∵ Area of the rectangle = L × W

∴ Area of the base = 8 × 7 = 56 units²

∴ SA = 90 + 2 × 56 = 90 + 112 = 202 units²

7) The solid is a cylinder

- Its base is a circle with diameter 8 units

∴ Its radius = 8 ÷ 2 = 4 units

- Its height is 15 units

∵ The perimeter of the circle is 2πr

∴ The perimeter of the base = 2π(4) = 8π

∴ LA = 8π(15) = 120π = 376.99 ≅ 377 units²

∵ The area of the circle = πr²

∴ The area of the base = π(4)² = 16π

∴ SA = 120π + 2 × 16π = 120π + 32π = 152π = 477.5 units²

6) The solid is a triangular prism

- Its base is a triangle with sides 5 , 5 , 6 units and height 4 units

- Its height is 13 units

∵ Perimeter of the triangle is the sum of the 3 sides

∴ Perimeter of the base = 5 + 5 + 6 = 16 units

∴ LA = 16 × 13 = 208 units²

∵ Area of the triangle = 1/2 × base × height

∴ Area of the base = 1/2 × 6 × 4 = 12 units²

∴ SA = 208 + 2 × 12 = 208 + 24 = 232 units²

9) The solid is a prism

- Its base is an isosceles trapezium with parallel bases 7 units and 10

 units, 2 non-parallel bases 9 units and height 8 units

- Its height is 13 units

∵ Perimeter of the trapezium is the sum of its sides

∴ Perimeter of the base = 7 + 10 + 9 + 9 = 35 units

∴ LA = 35 × 13 = 455 units²

∵ Area of the trapezium = 1/2(b1 + b2) × h

∴ Area of the base = 1/2(7 + 10) × 8 = 68 units²

∴ SA = 455 + 2 × 68 = 455 + 136 = 591 units²

Answer:

[tex](2x)^2=28[/tex]

Step-by-step explanation:

The equation for the area of a square is [tex](x)^2=A[/tex]

In this case, the value within the parenthesis are the lengths of each side.

As you are doubling the length of the side and know the area, the equation can be written as follows

[tex](2x)^2=28[/tex]