At Algorithms Pizza they have the exponential pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. If Connor ordered the exponential pizza and was charged $29.25, how many toppings were on his pizza? Justify your answer by using an algebraic equation to solve this problem step by step

Answers

Answer 1
He got 5 toppings, subtract 29.25 and 17.50, you get 11.75, then divide by 2.35, you get 5.
Answer 2

Answer:

5 toppings.

Step-by-step explanation:

Let there were x toppings on the exponential pizza ordered by Connor.

Then charges for toppings = $2.35x

If the cheese pizza costs = $17.50

Total charges for the pizza = (17.5 + 2.35x)

Total cost of the cheese pizza with toppings = $29.25

Equation to find the number of toppings will be

29.25 = 17.5 + 2.35x

2.35x = 29.25 - 17.5

2.35x = 11.75

x = [tex]\frac{11.75}{2.35}[/tex]

x = 5

Therefore, number of toppings on the pizza will be 5.


Related Questions

What are three equal ratios to 5/40

Answers

5/40:

1/8

10/80

15/120

hope this helps

Without multiplying, determine the sign of the product (356,864)(−194,758).
The sign of the product is positive because a positive multiplied by a negative is a positive.
The sign of the product is negative because a positive multiplied by a negative is a negative.
The sign of the product is negative because the second number is negative.
The sign of the product is positive because the first number is positive.

Answers

B. The sign of the product is negative because a positive mutiplied by a negative is a negative

Answer:

The correct option is 2.

Step-by-step explanation:

The given expression is

(356,864)(−194,758)

We need to find the sign of the product (356,864)(−194,758) without multiplying.

Sign of two numbers               Sign of product

 ( + ) ( + )                                        ( + )

 ( - ) ( + )                                         ( - )

 ( + ) ( - )                                         ( - )

 ( - ) ( - )                                         ( + )

In the given expression first terms is positive and second term is negative.

The sign of the product is negative because a positive multiplied by a negative is a negative.

Therefore the correct option is 2.

Find the y-intercept of the line:

9x + 3y = -18

Question 7 options:

(0,-6)


(0,6)


(-2,0)


(3,9)

Answers

(0,-6)
I'm not 100% sure!
Hope I could help!

Answer: (0,-6)

Step-by-step explanation:

How to turn 17/20 into percent

Answers

17/20 

multiply top and bottom by 5 ( need to be over 100)


17 x  5 = 85
20 x  5 = 100

85/100 = 0.85

0.85 = 85%

85% is your answer

hope this helps
multiply both denominator and numerator by 5.
20*5=100
17*5=85
then, put the product of the numerator and 5 over the product of the product of the denominator and 5.
85/100.
So, 17/20 as a percent is 85%

Madelynne hopped 12 times in 15 seconds what is her hops per minute

Answers

[tex] \frac{12 hops}{15 sec} x \frac{60 sec}{1 min}= \frac{720}{15 min} [/tex]

Your answer would be 720 hops per 15 minutes, which would simplify to be 48 hops per minute

 Hope this helps!
15 mins is 1/4 of a minute so 12 Times 4 witch is 48

Abby is half as old as her dad,and twice as old as her brother. If her brother is 9 years old,how old is her dad?

This Is 10 Points

Answers

well if Abby is twice the age of her bother and her brother is 9 then she is going to be 18 because 9x2=18, then it says that she is half her dads age so all you have to do is add 18+18 which equals 36
If Abby is 2x the age of her brother and he is nine that would make her 18

What is the Slope of the line passing through the points (0,4) and (-8, -1

Enter your answer in the box:

Answers

slope = (y2 - y1) / (x2 - x1)
(0,4)...x1 = 0 and y1 = 4
(-8,-1)...x2 = -8 and y2 = -1
now we sub and solve
slope = (-1 - 4) / (-8 - 0) = -5/-8 = 5/8 <=

Answer:

The slope is 5/8.

Step-by-step explanation:

Slope formula:

[tex]\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\displaystyle \frac{(-1)-4}{(-8)-0}= \frac{-5}{-8}=\frac{5}{8}[/tex]

5/8, which is the correct answer.

Hope this helps!

Anita has $300 in her savings account that earns 5% annually. The
interest is not compounded. How much interest will she earn in 1
year?
(Hint: Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.)

Answers

She will have 315 Dollars.

she will have $15

if you do 300 times 5% times 1 it will equal $15


A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain. The shop run by the chain serves 502 customers a day. About how many customers does the local shop serve in a day

Answers

Answer:

116

Step-by-step explanation:

502/9*2

About 57.8*2

115.6

Round up to 116

The local shop serves about 116 customers a day.

Answer:

The correct answer should and is 116.

Katie is drawing dots on cards to show ways to make 5. Draw dots for Katie. Write addition sentences for two of the cards.

Answers

(Dot) (Dot) (Dot) (Dot) (Dot) (Dot) (Dot)
(Dot)
(Dot) (Dot) 1 + 4

2 + 3
Hello There!

Dot Dot Dot Dot 
Dot
4 + 1 = 5
Dot Dot Dot
Dot Dot
3 + 2 = 5.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

What is the value of n in the equation (n – 4) – 3 = 3 – (2n + 3)?

Answers

n - 4 - 3 = 3 - 2n - 3
n - 4 = 3 - 2n
n = 3 - 2n + 4
n = -2n + 7
n + 2n = 7
3n = 7
n = 7/3

The answer is in bold
(n - 4) - 3 = 3 - (2n + 3)

Let's first start by removing the parenthesis.
(n-4) = +(n-4) so we just remove the parenthesis without changing the signs. So the first part of the equation will be n - 4 - 3.

Before (2n+3), we can notice a minus sign (-) which means that to remove the parenthesis, we need to change the signs of the numbers and variables inside.
-(2n+3) = -2n-3
So the second part of the equation becomes 3 -2n - 3

(n-4) - 3 = 3 - (2n+3)
n - 4 - 3 = 3 - 2n - 3
n - 7 = -2n

Now we need to put the variables apart and the constants apart. So we subtract n from each side:
n - n - 7 = -2n - n
-7 = -3n

Divide both sides by -3
(-7)/(-3) = (-3n)/-3
7/3 = n

In the equation (n-4) - 3 = 3-(2n+3), the value of n is n=7/3

Hope this helps! :)

Based on your knowledge of how the greenhouse effect works, why does the level of carbon dioxide affect the global temperature?

Answers

carbon dioxide acts as a blanket on the atmosphere, trapping the sun's heat energy on the earth instead of allowing it to leave the atmosphere and escape into space. the more carbon dioxide, the thicker the blanket

Cayley says that the equations p=1.5q and 2/3p q both represent the same proportional relationship. Mariah says that can't be true because the constants of proportionality are different. With which student do you agree? Explain.

Answers

Let's rewrite the second equation.
[tex] \frac{2}{3} p=q[/tex]
Multiplying both sides by [tex] \frac{3}{2} [/tex] gives us
[tex] \frac{3}{2} \cdot \frac{2}{3}p= \frac{3}{2}q\\ p= \frac{3}{2}q [/tex]

So the second equation is equivalent to the first equation. That means both equations represent the same proportional relationship. Cayley was correct.

Answer:

cayley

Step-by-step explanation:

cuz i said so djsndkwndmdksnsnsnsnsnsns

425,. ,339 what is in between

Answers

255 is the answer to this question

Find the ratio of snails to the total number of animals. Then explain it's meaning

The numbers you need to know: 18 to 52

Answers

I think the answer is 1:2.8 this means there is one snail to every three animals

Answer:

Step-by-step explanation it is 18/53

Simplify. Remember to write the powers as a positive number.

1. a^−8
2. 1/a^−4
3. a^−2*b^5
4. a^−2*b^−7*c^−8
5. a^2*b^−7*c^−8
6. a^−2*b^7*c^−8
7. a^−2*b^−7*c^8
please answer asap! good points!

Answers

1. 1/a^8 (Sorry I can't find out what the others are)      

Someone came into a store and stole 100 dollars from the register. The person returned 5 minutes later and purchased 70 dollars in merchandise with the same 100 dollars he stole I gave him 30 dollars change. How much money did the store loose.

Answers

Think of it this way. Ignore for now that $100 was stolen.

The purchase of the $70 item for $100 cash with $30 change is a perfectly fair purchase. The store received $100 cash, and the store gave $70 worth of merchandise plus $30 cash.There was no loss to the store there.

The fact that $100 in cash was stolen earlier from cash register means the loss is $100. The legitimate transaction does not affect the loss.

If you have a hard time understanding the loss is $100, then think of it this way.
Reverse the order of the two happenings.

A person walked into a store and bought a $70 item with a $100 bill. He received $30 change. So far, there is no loss to the store. Everything is legit.

That customer later came back to the store and stole $100 from the cash register.

Here we see clearly that the loss is exactly $100. It is simply the $100 stolen from the cash register.

1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.

Answers

let Kim's sisters age be x
then Kim's age= 2x
so when adding both ages you get 36
2x+x=36 i. e 3x=36 (x rep Kim's sisters age)

so x=36/3 = 12
kim sister's age is 12 years
while kim is 2×12= 24years
So because Kim's age is twice the age of her sister an appropriate ratio could be
Kim : Sister   2 : 1 
So because you know thier ages are combined to 36 you could divide 36 by 3 which is 12 then you would need to double it for Kim. 
So their ages are 
Kim- 24
sister- 12

A cow can eat 25 pounds of hay a day. At that rate, how many pounds of hay can a cow eat in 31 days?

Answers

25 pounds a day

31 days

31 x 25 = x (amount of pounds of hay a cow eats in 31 days)

x = 775 pounds
(this is if the the cow eats 25 pounds each day without changing the number)

hope this helps
Hello There!

Amount per day x number of days
25 x 31 = 775.
A cow can eat 775 pounds of hay in 31 days.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

a pizza with a diameter of 8 inches cost $10 a pizza with a diameter of 14 inches costs $16 whitch is the better buy explain you thinking

Answers

The 14-inch diameter pizza, because you're getting approximately 10 square inches of pizza per dollar. For the 8-inch pizza, you only get around 5 per dollar.

Final answer:

To find the better buy between the two pizzas, we calculate the cost per square inch for each. After determining the area of each pizza, the calculations show that the 14-inch pizza offers the better value at $0.104 per square inch, compared to the 8-inch pizza's $0.199 per square inch.

Explanation:

To determine which pizza offers the better buy, we need to calculate the price per square inch of each pizza. First, we find the area of each pizza using the formula for the area of a circle, A = πr^2, where r is the radius (half the diameter).

For the 8-inch pizza: radius = 4 inches. So, A = 3.14 × (4)^2 = 50.24 square inches.

For the 14-inch pizza: radius = 7 inches. So, A = 3.14 × (7)^2 = 153.86 square inches.

Next, we calculate the cost per square inch:

8-inch pizza: $10 / 50.24 square inches = $0.199 per square inch.

14-inch pizza: $16 / 153.86 square inches = $0.104 per square inch.

Therefore, the 14-inch pizza offers the better value at approximately $0.104 per square inch, as opposed to the 8-inch pizza's $0.199 per square inch.

Naomi left from an elevation of 7400 ft at 7 a.m. and hike to elevation of 9800 ft by 11 a.m. What was her rate of change in altitude

Answers

9800 - 7400 = 2400 feet

11 am - 7 am = 4 hours

2400 / 4 = 600 feet per hour

when a number is a multiple of 5 what are the possible values for one digit

Answers

5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100 etc.

A seal dove 95 meters below the surface of the water to reach a fish. It traveled 18% of the total distance every second. What was the depth of the seal after 5 seconds? (1 point)

Answers

95 ÷ 18% = 17.1 
17.1 × 5 = 85.5 
Therefor, your answer is 85.5 meters. 
Hope is helps :)

Answer:

Depth of seal in 5 seconds = 85.5 meters

Step-by-step explanation:

Distance between a seal and fish = 95 meters below the surface of the water

It traveled 18% of the total distance every second so distance covered in one second = 18% of 95

= 95×0.18

= 17.10 meters

And distance covered in 5 seconds will be = 17.10 × 5 = 85.50 meters

Therefore, depth of the seal in 5 seconds will be 85.5 meters

I don’t understand number 4

Answers

1.75
2.15
3.105
4.90
these are the answers

Angle 2 would also be 75 degrees. 
75+75 = 150
150 + 90 = 240
240 + 75 = 316
360 - 316 = 44

Angle 1 = 75 degrees.
Angle 2 = 75 degrees  Angle 3 = 150 Angle 4 = 90








20 POINTS - PLEASE HELP
Are these irrational or rational? (picture below)

Answers

They are all rational except √(2/24)

Solve M=h-w/8 for the variable H

Solve the above equation for W

Solve w=x+y/z for y


Solve the equation above for z

The formula for area of a triangle is A=1/2b solve this equation for B

Solve the equation P=kt/v for the letter K

Answers

1) m = h - w/8

Subtract h from both sides.

m - h = -w/8

Subtract m from both sides.

-h = -m - w/8

Divide all terms by -1.

h = m + w/8.

2) m = h - w/8

Get rid of the denominator 8 by multiplying 8/1 to all terms.

8m = 8h - w

Add w on both sides and subtract 8m from both sides.

w = 8h - 8m

3) w = x + y/z

Get rid of the denominator z by multiplying it to all terms.

wz = xz + y

Subtract xz from both sides of the equation.

wz - xz = y OR y = wz - xz

4) w = x + y/z

Subtract x from both sides.

w - x = y/z

Get rid of the denominator by multiplying it to all terms.

wz - xz = y

Now factor the expression wz - xz.

z(w - x) = y

Divide both sides by w - x.

z = y / w - x

This is read as z equals to y divided by w minus x.

5) The area of a triangle is A = 1/2bh

First, get rid of the denominator by multiplying both sides by 2.

2A = bh

To find b, divide both sides by h.

2A/h = b

6) P = kt/v

Multiply both sides by v.

Pv = kt

Divide both sides by t.

Pv/t = k OR k = Pv/t.

Answer:

Step-by-step explanation:

(1) M = h - [tex]\frac{w}{8}[/tex]

    h = M + [tex]\frac{w}{8}[/tex]

(2) M = h - [tex]\frac{w}{8}[/tex]

    M - h = -[tex]\frac{w}{8}[/tex]

    [tex]\frac{w}{8}[/tex] = h - M

   w = 8(h - M)

(3) w = x + [tex]\frac{y}{z}[/tex]

   (w-x) = [tex]\frac{y}{z}[/tex]

   [tex]\frac{z}{y}[/tex] = [tex]\frac{1}{(w-x)}[/tex]

   z = [tex]\frac{y}{w-x}[/tex]

(5) Area of triangle A = [tex]\frac{1}{2}b[/tex]

    b = 2A

(6) [tex]P=\frac{kt}{v}[/tex]

    ⇒ PV = kt

    ⇒ k = [tex]\frac{PV}{t}[/tex]

Laura decides to walk to her job. She walks 1 1/2 miles in 3/5 hour. What is Laura’s walking rate?

Answers

Okay. So, to find the walking rate, we must do 1 1/2 / 3/5. The rule of dividing fractions is keep, Change, flip. 3/2 * 5/3 is 15/6 or 2 1/2 in simplest form. Laura’s walking rate is 2 1/2 miles an hour.

Final answer:

Laura's walking rate is calculated by dividing the distance she walked, 1.5 miles, by the time it took, 0.6 hour. Her walking rate is 2.5 miles per hour.

Explanation:

Laura's walking rate can be calculated by dividing the distance she walked by the time it took. Laura walked 1 1/2 miles in 3/5 hour. To find her rate, we will convert 1 1/2 miles to a decimal, which is 1.5 miles, and we convert 3/5 of an hour to minutes or hours in decimal form. Since 3/5 of an hour is the same as 36 minutes (because 60 minutes * 3/5 = 36), we can calculate Laura's walking rate.

To find the rate, we use the formula:

Rate = Distance ÷ Time

So Laura's walking rate is:

Rate = 1.5 miles ÷ 0.6 hour

Rate = 2.5 miles per hour (since 1.5 ÷ 0.6 = 2.5)

Therefore, Laura walks at a rate of 2.5 miles per hour.

Colin bought 7 flats of flowers. Each flat contains 24 flowers. How many flowers did he buy?

Answers

You multiply 7 times 24 to get 168

Hello!

To find this answer, you simply multiply the amount of flats (7) with the amount of flowers in each flat (24).

7x24=168

Colin bought 168 flowers.
I hope this helps you! Have a great day!

Which is NOT equivalent to 64? A) 26 B) (24 )(4) C) (23 )(42 ) D) 43

Answers

only B is equivalent to 64

26 ≠ 64
24 x 4 is 64 = 64 
23 x 42 is 966≠ 64
43≠64

hope this helps

Answer:

Look at a factoring tree of 64 and see which does not work:

64 = (8)(8) = (4)(2)(4)(2) = (2)(2)(2)(2)(2)(2)

Therefore the only option which is not true is  

23 × 42

Step-by-step explanation:

Allison makes 3 groups of 10 muffins she also makes 7 more muffins how many muffins does she make in all

Answers

she has 37 muffins
(3x10)+7
30+7
37
She has 37 muffins because (3 times 10)+7 30+7 37
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