The diagram shows a square pizza box with side lengths of 18 inches. In the box is a circular pizza with a radius of 8 inches. What is the difference between the area of box and the pizza?

Answer:

father = 32    s = 5 y/o

Step-by-step explanation:

f s = 160  ====>   s = 160/f

f+4 = 4 ( s+4)  

f + 4 = 4 (160/f +4)

f + 4 = 640/f + 16

f^2 + 4f = 640 + 16 f

f^2 -12f - 640 = 0      Use Quadratic formula to find  f =  32   then s = 5

Answer:

Every third student who enters each homeroom

Step-by-step explanation:

This would produce the least biased results as every third student gives a 3/x for students and there are y homerooms, giving the least biased results.

Answer:

1 and 25, 5 and 5

Step-by-step explanation:

because both 5×5=25 and 1×25=25 and 1×5=5 are all equal factor pairs of 25.

Answer:

The slope is 6

Step-by-step explanation:

m = y2 - y1/x2 - x1

ΔX = 3 – 2 = 1

ΔY = 7 – 1 = 6

6/1 = 6

Answer:

Step-by-step explanation:

Jim drank 2 and 4/5 orange juice

2and 4/5=14/5 orange juice

jack drank  1and 1/10 less than Jim= 11/10 less than Jim

I introduce the whole numbers into the fractions

we will convert the number 14/5 into a fraction that has the denominator 10, by multiplying by 2 both numerator and denominator

(14/5 )*2=28/10

Now we can find out how much juine Jack drank

28/10- 11/10= 17/10

so Jack drank 17/10 orange juice , the fraction can be written also as

1 and 7/10

Answer:

the answer is C

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

(x,y)      slope is change in y / change in x⇒  Δy/Δx

(6,2)

(-18,2)

Δy = 2-2 = 0

Δx = 6-(-18) = 24

because the y values are the same, when you subtract you a slope of 0/24 or just 0 a horizontal line (because y is always =2)

Answer:

C. m<1 = 82.5 m<2 = 97.5

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Because if you look closely you will be able to tell which answer it is by looking at the way the shape formed andjust breakaprt the shape .

The probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The number of times the experiment was done is 37 (15+14+8). The number of times apple chew came as a result of the experiment is 14, while the number of times peach chew came as a result of the experiment is 15. Therefore, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is

[tex]\rm Probability = \dfrac{\text{Number of times apple chew or peach chew was selected}}{\text{Total number of times experiment was performed}}\\\\\\Probability = \dfrac{14+15}{37} = \dfrac{29}{37}[/tex]

Hence, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).

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Answer:

75%

Step-by-step explanation:

Answer: 3 inches

Step-by-step explanation:

Answer:

720, 5040

Step-by-step explanation:

It's always times plus 1. So,
1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5040

Using proportions, given the density value, it is found that the ballons contain 9.8 kilograms of helium.

A proportion is a fraction of a total amount.

In this problem, we have that each ballon contain 0.14 kilograms per cubic meter.

You get 5 ballons, each with 14 cubic meters, hence the total volume is given by:

V = 5 x 14 = 70 m³.

Applying the density, we have that the total mass is given by:

M = 0.14 x 70 = 9.8 kilograms.

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Answer:

6,597 cups

Step-by-step explanation:

y=0.9x x=7,330 7,330 x 0.9= 6,597

We will see that the cube must be 10.23 inches tall.

The volume of the cube must be equal to the volume of the 4 spheres. Remember that the volume of a sphere of radius R is:

V = (4/3)*3.14*R^3

In this case, the radius is 4 inches, so we can write:

V = (4/3)*3.14*(4 in)^3 = 267.95 in^3

Then the volume of the 4 spheres is:

4*267.95 in^3 = 1,071.79 in^3

The volume of a cube of side length S is given by:

V = S^3

Then we must have:

S^3 = 1,071.79 in^3

S = ∛(1,071.79 in^3) = 10.23 in

We conclude that the cube is 10.23 inches tall.

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Answer:

x=13

Step-by-step explanation:

Side Splitter Theorem states that If a line is parallel to one side of a triangle and intersects the other two sides, it divides both sides proportionally.

21/14 =1.5

6x1.5 = 9

x-4=9

x=13

Answer:

n=45

Step-by-step explanation:

Sum of interior angles can be calculated using formula: 180(number of sides - 2).

Hexagon has: 720 degrees. we subtract two right angles and get 4x=540. The x is the angle supplement to n. x=135 => 180-x=35 => n=45.

The length of the diagonal brace when Jonathan is building a box in the shape of a rectangular prism is 17 inches.

From the information given, the dimensions are given as 8 inches by 12 inches by 9 inches.

Therefore, the length of the diagonal brace will be:

= ✓12 + ✓8 + ✓9

= ✓289

= 17

In conclusion, the correct option is 17 inches.

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Answer:

2?

Step-by-step explanation:

The equation that models the number of female eastern bluebirds observed, b,  and t, the total number of eggs laid is t = 5b

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

y = mx +c

To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.

Let we take:

b = the number of female eastern bluebirds observed

t = the total number of eggs laid

Since the relationship between b and t is forming a line, so it can be modeled by linear equation.

Here, we take 'b' as independent variable,  and the value of 't' depending on the value of 'b', and therefore, let the linear equation representing them is:

[tex]t = mb + c[/tex]

For this case, we see that as the number of female eastern bluebird is increased by 1, half of 10 units (which is 5 units) is increased in the total number of eggs laid.

Thus, as we increase 'b' by 1 unit, there is increase by 5 units in the value of 't'.

and therefore, we get: m = increment in dependent variable per unit increment in independent variable = 5

Thus, the equation is:

[tex]t = 5b + c[/tex]

At b = 1, the number of eggs laid is 5, or t = 5, therefore, putting these values in the equation, we get:

[tex]5 = 5(1) = c\\c = 5-5=0[/tex]

Thus, the relation between t and b is t = 5b + 0= 5b

Thus, the equation that models the number of female eastern bluebirds observed, b,  and t, the total number of eggs laid is t = 5b

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Answer:

f(g(x)) = =2(-x^2+5)-3

=-2x^2+10-3

=-2x^2+7

Sorry, I'm not sure about g(f(x)).

Step-by-step explanation:

f(g(x))=f(-x^2+5)=2x-3

=2(-x^2+5)-3

=-2x^2+10-3

=-2x^2+7

Answer:

D. Industrialization cause of poverty.

The circle is an illustration of tangent and secant lines, and the length of FE in the circle is 9.3 units

The lengths are given as:

Start calculating the length DF using:

DE * DF = CD²

So, we have:

12 * DF = 16²

Evaluate the exponent

12 * DF = 256

Divide both sides by 12

DF = 21.3

The length FE is then calculated using:

DF = FE + DE

Substitute DE = 12 and DF = 21.3

21.3 = FE + 12

Subtract 12 from both sides

FE = 21.3 - 12

Evaluate the difference

FE = 9.3

Hence, the length of FE in the circle is 9.3 units

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Answer:

The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let d represent the length of the diagonal, Usinng Pythagoras:

d² = 22² + 22²

d = 31 feet

Using trigonometric identity:

sin(45) = 22/d

d = 31 feet

The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.

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Step-by-step explanation:

     [tex]I=\displaystyle \int \dfrac{\sqrt x}{\sqrt x -4} ~dx\\\\\text{Let,}\\\\~~~~u=\sqrt x-4\\\\\implies \dfrac{du}{dx} = \dfrac d{dx} \left( \sqrt x -4 \right)\\\\\implies \dfrac{du}{dx} = \dfrac 1{2 \sqrt x} \\\\\implies dx =2\sqrt x~ du\\\\\\I= \displaystyle \int \dfrac{u+4}{u+4 -4 } 2(u+4) du\\\\\\~~~=2\displaystyle \int \dfrac{(u+4)^2}{u} du\\\\\\~~~=2\displaystyle \int \dfrac{u^2+ 8u+16}{u} du\\\\\\~~~=2\displaystyle \int \left(u+8+\dfrac{16}u\right) du\\\\\\[/tex]

    [tex]~~~=2\left(\displaystyle \int u ~ du + \displaystyle \int 8 ~ du + \displaystyle \int \dfrac{16} u ~ du\right) \\\\\\~~~=2\left( \dfrac {u^2}2 + 8u+16\ln |u| \right) +C\\\\\\~~~~= u^2 + 16u+ 32 \ln |u|+C\\\\\\~~~~=\left( \sqrt x -4 \right)^2 + 16\left( \sqrt x -4 \right) +32 \ln |\sqrt x -4|+C\\\\\\~~~~= x-8\sqrt x+16 +16\sqrt x -64 +32 \ln \left|\sqrt x-4 \right|+C\\\\\\\~~~~=x+8\sqrt x -48 +32\ln|\sqrt x -4| +C[/tex]

Answer:

C. m=1/2 and b=-4

Step-by-step explanation:

To get the slope-intercept notation, you have to convert Ax+By = C to y = mx + b. We can do that by simply moving y to the left side and the rest to the right, or simply use the formula of m = -A/B, b = C/B

We'll do both, they're the same really.

x-2y=8

x-8=2y

2y=x - 8

y = 1/2*x - 4

Alternatively

x-2y=8

A = 1

B = -2

C = 8

m = -(1/-2) = 1/2

b = 8/-2 = -4

Answer:

Step-by-step explanation:

Let the goldfish be G.

• Let the betta fish be B.

Given the following data:

• Total number of fishes = 150 fishes.

• Ratio of G to B = 2:3

• Total ratio= 2 + 3 = 5

To calculate the number of goldfish that the pet store have:

What is ratio?

Ratio can be defined as an expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

Mathematically, the number of goldfish in the pet store is given by this expression:

2 G = x 150 5

G = 0.4 x 150

G = 60 fishes.

Answer:

y = -1/4x + 1

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

The y-intercept of the line is 1, so in slope-intercept form, b will be 1.

Now, the line also intersects the y-axis at (4, 0). We can plug these two points into slope formula to find the slope: (0-1)/(4-0) = -1/4.

Therefore, the equation of the line is y=-1/4x + 1