A pizza places for drivers to deliver their pizzas. The average mileage for each car is between 21 and 24 miles per gallon. Each driver travels between 79 miles and 89 miles a day. The pizza shop estimates that they will need about 10 gallons of fuel a day for all the vehicles. Is this a reasonable estimate?

A: No, the estimate should be higher.

B: Yes, the estimate is reasonable.

C: No, the estimate should be lower.

30% chance of losing money.

40% chance of breaking even

Added together  = 70% of not making any money or losing money.

Only a 30% chance of making money.

The company should not invest, since they only have a 30% chance of making money.

Answer:

131.95in^2

Step-by-step explanation:

The formula for surface area in a cylinder is A = 2pi*r*h + 2pi*r^2

The radius in this cylinder is half the diameter in the cylinder which is 6, so the radius is 3.

The height is 4 since it is given.

Then we just plug the values into the equation and we get a surface area around 131.95in^2

Answer:

The answer is C. 132 [tex]in^{2}[/tex]

Step-by-step explanation:

Remember: If the answer is not there, check your work or round up! :)

Answer:

Step-by-step explanation: It is 1/2 of 14 = 7 hours to the moot

And plug in 7 hours to the equation  4*7+14*7=126 divide that by 2 and the distance is 63

Final answer:

To surround a circular garden with a 150-ft radius every 3 inches with flowers, calculate the garden's circumference using the formula C = 2πr, convert it to inches and divide by the spacing. You'd need approximately 3,768 flowers.

Explanation:

To calculate the number of flowers needed to surround a circular garden with a 150-ft radius spaced every 3 inches, you have to find the circumference of the garden and then determine how many 3-inch spaces fit along that circumference.

First, find the circumference (C) of the garden using the formula C = 2πr, where π (pi) is approximately 3.14 and r is the radius. In this case:

Convert 942 ft into inches because the spacing is in inches:

Now, divide the circumference in inches by the spacing to get the number of flowers:

Therefore, you would need 3,768 flowers to surround the garden spaced every 3 inches.

Answer:

y = 40

Step-by-step explanation:

Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides.

y - 4 = 36

y - 4 (+4) = 36 (+4)

y = 36 + 4

y = 40

Check. Substitute 40 for y.

Plug in 40 for y.

y - 4 = 36

(40) - 4 = 36

36 = 36 (True).

~

Answer:

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the equation:

[tex]x^2+y^2=64\\\\(x-0)^2+(y-0)^2=8^2[/tex]

Therefore the center is (0, 0) and the radius r = 8

Answer:

The circles radius is 8

Step-by-step explanation:

It is 8 because that's what they say it is

Answer:

12

Step-by-step explanation:

12+15+10+11=48

48/4=12

Sum of all the data which is 12+15+10+11=48 then divide by how many data point which is 4

48/4 =12

Answer:

6³/₁₀

Step-by-step explanation:

Number of bits = Total amount/Size of each bit

                         = (4⅕)/(⅔)

Convert the mixed number to an improper fraction

No. = (²¹/₅)/(⅔)

Invert the denominator and change division to multiplication

No. = ²¹/₅ × ³/₂

Multiply numerators and denominators.

No. = ⁶³/₁₀

Convert the improper fraction to a mixed number.

No. = 6³/₁₀

It takes 6³/₁₀ ⅔s to make up 4⅕.

in degrees the answer is 30° since a full rotation is 360°, divide by 12 and 1/12 of a full rotation is 30°

1/12 of a full rotation in mathematics refers to an angle of 30 degrees. This is calculated by dividing the full rotation (360 degrees) by 12. For example, each hour on a clock represents 1/12 of a full rotation.

In Mathematics, a full rotation is defined as 360 degrees. Therefore, to find 1/12 of a full rotation, you would divide 360 by 12. This results in 30 degrees. Hence, 1/12 of a full rotation refers to an angle of 30 degrees in a circular motion. This concept is often applied in geometry and other mathematical applications. For instance, imagining a clock, where each hour signifies 1/12 of a full rotation. The difference in the angle from 12 to 1 on the clock is therefore 30 degrees.

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Answer:

[tex]y - 3 = \frac{1}{4}(x+2)[/tex] or choose any line with slope 1/4

Step-by-step explanation:

The slope of this line is -4. The slope of the line perpendicular to this line will be the negative reciprocal or 1/4.

Write the equation using the slope m=1/4 and the point slope form.

[tex]y-y_1=m(x-x_1)\\y-3=\frac{1}{4}(x+2)[/tex]

This is the equation of the line that is perpendicular and passes through the same point (-2,3) as the equation listed.

Answer:

[tex]y=\frac{1}{4} x+c[/tex]   where [tex]c[/tex] can be any number.

Step-by-step explanation:

First we need to clear for y:

[tex]y-3 =-4(x+2)\\y=-4(x+2)+3\\y=-4x-8+3\\y=-4x-5[/tex]

and now we have an equation of the form:

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

in this case [tex]m=-4[/tex] and [tex]b=-5[/tex]

to find and equation perpendicular to this line, the following must be true:[tex]m*m_{1}=-1[/tex]

where m is the slope of the original line that i just mentioned, and [tex]m_{1}[/tex] is the slope of the new line. Substituting [tex]m=-4[/tex]

[tex]-4*m_{1}=-1[/tex]

clearing for [tex]m_{1}[/tex]

[tex]m_{1}=\frac{-1}{-4} \\m_{1}=\frac{1}{4}[/tex]

thus, the new perpendicular line must have the form:

[tex]y=m_{1}x+c\\y=\frac{1}{4}x+c[/tex]

where the y-intecept [tex]c[/tex] can be any number, some examples are:

[tex]y=\frac{1}{4}x+3\\y=\frac{1}{4}x-8[/tex]

and so on, the important thing to be a perpendicular line is that the slopes are related to the equation [tex]m*m_{1}=-1[/tex].

Answer:

82 toys per day

Step-by-step explanation:

492 divided by 6 = 82 (toys)

6 divided by 6 = 1 (days)

492/6 = 82/1

Answer:

a

Step-by-step explanation:

Answer:

D)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The standard form of an equation of a line:

[tex]Ax+By=C[/tex]

We have the equation in point-slope form:

[tex]y+7=-\dfrac{2}{5}(x-10)[/tex]

Convert it to the standard form:

[tex]y+7=-\dfrac{2}{5}(x-10)[/tex]     multiply both sides by 5

[tex]5y+35=-2(x-10)[/tex]         use the distributive property a(b + c) = ab + ac

[tex]5y+35=(-2)(x)+(-2)(-10)[/tex]

[tex]5y+35=-2x+20[/tex]          subtract 35 from both sides

[tex]5y=-2x-15[/tex]            add 2x to both sides

[tex]2x+5y=-15[/tex]

Answer:

0.00333

Hope that helps.

Answer:

D

Step-by-step explanation:

We will use the radical property  [tex]\sqrt{a*b} =\sqrt{a} \sqrt{b}[/tex]  to simplify this.

The problem is  [tex]\sqrt{169*x^5}[/tex]

We can simplify this as:

[tex]\sqrt{169*x^5} \\=\sqrt{169} \sqrt{x^5}[/tex]

Now we can use the property of radicals,  [tex]\sqrt[n]{x^a} =x^{\frac{a}{n}}[/tex]  , to write as:

[tex]\sqrt{169} \sqrt{x^5} \\13*x^{\frac{5}{2}}[/tex]

D is right answer.

Answer:

d. [tex]13x^{\frac{5}{2}}[/tex]

Step-by-step explanation:

The given expression is

[tex]\sqrt{169x^5}[/tex]

We can rewrite this as

[tex]\sqrt{169}\times \sqrt{x^5}[/tex]

We rewrite as a rational exponent to obtain;

[tex](13^2)^{\frac{1}{2}}\times (x^5)^{\frac{1}{2}}[/tex]

Recall that;

[tex](a^m)^n=a^{mn}[/tex]

[tex]13^{(2\times \frac{1}{2})}\times (x)^{5\times \frac{1}{2}}[/tex]

[tex]13^1 (x)^{\frac{5}{2}}[/tex]

The correct choice is D

[tex]13x^{\frac{5}{2}}[/tex]

Answer:

Step-by-step explanation:

assuming that the X is a multiplication symbol and not a variable, because the multiplication symbol is * not x, 5*5/2*7=25/14=1 and 11/14

Answer:

[tex]\frac{2+\sqrt{3} }{4}[/tex]

Step-by-step explanation:

We can use the identity [tex]Cos^2(x)=\frac{1}{2}+\frac{1}{2}Cos(2x)[/tex] to write it as:

[tex]Cos^2(\frac{\pi}{12})=\frac{1}{2}+\frac{1}{2}Cos(2(\frac{\pi}{12}))\\=\frac{1}{2}+\frac{1}{2}Cos(\frac{\pi}{6})\\=\frac{1}{2}+\frac{1}{2}(\frac{\sqrt{3} }{2})\\=\frac{1}{2}+\frac{\sqrt{3} }{4}\\=\frac{2+\sqrt{3} }{4}[/tex]

Note: The value of [tex]Cos(\frac{\pi}{6})[/tex]  is  [tex]\frac{\sqrt{3} }{2}[/tex]

The answer is the 2nd one, [tex]\frac{2+\sqrt{3} }{4}[/tex]

Answer:   [tex]\bold{-7+2\sqrt{14}+5\sqrt{7}-10\sqrt{2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{\sqrt7-5}{\sqrt7+\sqrt8}\bigg(\dfrac{\sqrt7-\sqrt8}{\sqrt7-\sqrt8}\bigg)=\dfrac{7-2\sqrt{14}-5\sqrt{7}+10\sqrt2}{7-8}=\dfrac{7-2\sqrt{14}-5\sqrt{7}+10\sqrt2}{-1}\\\\\\=\boxed{-7+2\sqrt{14}+5\sqrt{7}-10\sqrt2}[/tex]

Answer: The answer is around 16.66%

Answer:

Step-by-step explanation  

The first step you have to get it into this form

a[tex]x^{2}[/tex] + bx + c

So that would be

3x[tex]x^{2}[/tex] + 1x + c

we do not know what c is

we have to get x by it self from 3x[tex]x^{2}[/tex] so first you have to square it now we are at 9x

    9x divided by 9 that would leave us with x

so our finished product is x + 1x + c  

we have to get x by itself from 1x so we do exactly what we just did 1x divided by 1x would leave us with x

x + x=[tex]x^{2}[/tex] + x

[tex]x^{2}[/tex] + c is the finished product which is your answer

Answer:

Option C. [tex]15[/tex]

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]T(13,2)\ W(x2,-5)[/tex]

[tex]m=-\frac{7}{2}[/tex]

Substitute the values  and solve for x2

[tex]-\frac{7}{2}=\frac{-5-2}{x2-13}[/tex]

[tex]-\frac{7}{2}=\frac{-7}{x2-13}[/tex]

equate the denominators

[tex]x2-13=2\\x2=2+13\\ x2=15[/tex]

Answer:

The answer is C-15

Add 0.95 0.35 and 0.20 and if it’s less than 1.35 it’s ur answer but if 1.35 is less, than that’s ur answer

Answer:

Step-by-step explanation:

Cost of items =$0.95+$0.35+$0.20=$1.50

Plate cost=$1.35

Plate is less expensive way to buy items

Answer:  [tex]a)\quad f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{3}}[/tex]

Step-by-step explanation:

Inverse is when you swap the x's and y's and solve for y. Note: f(x) is y

[tex]y=3x^3-5\\\\\text{Swap the x's and y's:}\\x=3y^3-5\\\\\text{Add 5 to both sides:}\\x+5=3y^3\\\\\text{Divide both sides by 3:}\\\dfrac{x+5}{3}=y^3\\\\\\\text{Take cubed root of both sides:}\\\sqrt[3]{\dfrac{x+5}{3}}=y[/tex]

Answer:

x = − 15 − 8 y

y=-7/8x-19/8

Step-by-step explanation:

If you are trying to solve for x the answer for first problems is

x = − 15 − 8 y

second problem the slope intercept form is:

y=-7/8x-19/8

I'm not sure exactly what you are looking for but I hope that is it.

Answer:

[tex]V = 25d ^ 3 + 275d ^ 2 + 250d[/tex]

Step-by-step explanation:

If the pool has a rectangular shape then its volume can be written as:

V = Width * Length * Depth

Let's call:

w = width

l = length

d = depth.

So we know from the statement of the problem that:

[tex]d = d[/tex]

[tex]w = 5 + 5d[/tex]              (5 feet more than 5 times the depth)

[tex]l = 50 + 5d[/tex]              (50 feet more than 5 times the depth)

Then, the volume can be written according to the depth as:

[tex]V = d(5 + 5d)(50 + 5d)[/tex]

[tex]V = d[250 + 25d + 250d + 25d ^ 2][/tex]

[tex]V = 25d ^ 3 + 275d ^ 2 + 250d[/tex]

The volume of the swimming pool is represented by the expression V = (5d + 50)(5d + 5)(d), where d is the depth of the pool.

The student is asked to find a simplified expression to represent the volume of the swimming pool, with the pool's depth given as d feet. To calculate the volume, we need to find the dimensions for the width and length of the pool. The width is described as 5 feet greater than 5 times its depth, which translates to

5d + 5 feet.

The length is 50 feet greater than 5 times its depth, so it will be

5d + 50 feet. The volume (V) of a rectangular solid is given by the product of its length (L), width (W), and depth (D), so the volume of this swimming pool is

V = LWD = (5d + 50)(5d + 5)(d).

Answer:

[tex]\pm11,\pm1,\pm\frac{11}{5},\pm\frac{1}{5}[/tex]

Step-by-step explanation:

The given polynomial function is

[tex]f(x)=5x^3-7x+11[/tex]

According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.

The potential rational roots are

[tex]\pm\frac{11}{1}=\pm11[/tex]

[tex]\pm\frac{1}{1}=\pm1[/tex]

[tex]\pm\frac{11}{5}[/tex]

[tex]\pm\frac{1}{5}[/tex]

The range is from 4 to 17.

When you are identifying a range you need to identify the highest and lowest number. This is your range because all of the other numbers are between the identified two.

Answer:

Step-by-step explanation:

4 to 17.. that is the answer to ur question love.

That decimal would be -.875

Hey there!

In order to find the decimal divide the numerator (top number) from the denominator (bottom number)

~ -7 ÷ 8 = 0.875 (as a decimal)

~ Thus your answer will most likely be, -0.875

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

The answer is 100 oz

Step-by-step explanation:

HOPE THIS HELPS YOU

Answer:

you have 10 shirts in all to choose from

Step-by-step explanation:

if ur picking a shirt then  you will have 10 all together.

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The answer is 8/10, 4/5, or 80%.

Since there are 8 blue shirts out of 10 shirts, you have a 8/10 chance to pick a blue shirt. Since this is probability, it is best to show it in percent and decimal form too.

8/10=80%=0.8 chance

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

Answer:

The total area of the prism is 30 cubic feet

Step-by-step explanation:

To find the area multiply 3 by 2 by 5