3. Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 more than one
cupcake, and the total cost of the order was $53.50. What was the price of each cupcake?

Answers

Answer 1

Answer:

$1.50

Step-by-step explanation:

The total cost was $52. Subtracting out the cost of the layer cake ($16) leaves us with $36 to pay for the 24 cupcakes.

 

This means that each cupcake must have cost $1.50 ( = $36 / 24 cupcakes )


Related Questions

if y varies directly with x and y =28 when x = 4 what is y when x = 3 show all your work

Answers

Answer: y = 4x

Step-by-step explanation:

the initial statement is

y

x

to convert to an equation multiply by k the constant

of variation

y

=

k

x

to find k use the given condition

y

=

28

when

x

=

7

y

=

k

x

k

=

y

x

=

28

7

=

4

A triangular prism has a height of 9 meters. The area of the triangular base measures 16 square inches. What is the volume of the triangular prism?
15 cubic meters
60 cubic meters
72 cubic meters
144 cubic meters

Answers

It’s 72 cubic meters

Answer:

the volume 60 cubic meters. I hope this helps you you :)

Step-by-step explanation:

Find two fractions equivalent to each fraction of 8/36

Answers

Answer:

Thus, 2/9 is the simplified fraction for 8/36 by using the GCD or HCF method. Thus, 2/9 is the simplified fraction for 8/36 by using the prime factorization method.

Step-by-step explanation:

The two equivalent fractions for the given fraction are 4/18 and 2/9.

The given fraction is 8/36.

The equivalent fraction will be obtained by dividing or multiplying both the numerator and denominator of the fraction by same number.

Here, divide both the numerator and denominator by 2, we get

(8÷2)/(36÷2)

= 4/18

Again divide both the numerator and denominator by 2, we get

(4÷2)/(18÷2)

= 2/9

Therefore, the two equivalent fractions for the given fraction are 4/18 and 2/9.

Learn more about the equivalent fractions here:

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Sales of cases of bottled water are up 7% from last year. You sold 900 cases of bottled water last year. Based on current percentage demand trends, what would the forecast be for total sales of cases of bottled water in 3 years.


a) 1,180
b) 1,285
c) 1,615
d) 1,770

Answers

Your answer is A. 1,180.

If you borrow $500 for 4 years at
an annual interest rate of 6%, how
much will you pay altogether?

Answers

500×6/100×4=120 500+120=620

Answer: $620

Step-by-step explanation:

[tex]\frac{500}{1}[/tex]×[tex]\frac{4}{1}[/tex]×[tex]\frac{6}{100}[/tex]=

Anything divided by one gives itself.

500*(4/1)*(6/100)

Anything divided by one gives itself.

500*4*(6/100)

Multiply 500 and 4 to get 2000.

2000*(6/100)

Reduce the fraction 6/100 to the lowest terms by extracting and canceling out 2.

2000*(3/50)

Express 2000×(3/50) as a single fraction.

[tex]\frac{2000*3}{50}[/tex]

Multiply 2000 and 3 to get 6000.

6000/50

Divide 6000 by 50 to get 120.

120

Add 500 to 120 because it is just your interest rate

500+120=620

You then get your full payment and it is $620.

An object is 4900 ft above the ground. The object falls, and its height is given by the quadratic function: h(t) = −16t 2 + 4900 . The height of the object above the ground is in feet and the time, t, is in seconds. Determine when the object hits the ground.

Answers

Answer:

Step-by-step explanation:

The the height of an object modeled by the function

h(t) = −16t^2 + 4900

The object hits the ground when h(t) = 0

The equation becomes:

0 = −16t^2 + 4900

-16t² = -4900

t² = 4900/16

t² = 306.25

t = √306.25

t = 17.5 secs

This means that the object hits the ground after 17.5secs

Describe the
relationship between two(______)in a graph.
-what’s the missing word?

Answers

is the word variables?

Rosa spent $11.52 on 8 candy necklaces for each of her two friends. How much did each necklace cost?

Answers

Answer:

$1.44

Step-by-step explanation:

$11.52 (divided by) 8 = $1.44

The cost of each candy necklace will be $1.44 per candy necklace.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Rosa spent $11.52 on 8 candy necklaces for each of her two friends.

Then the cost of each candy necklace will be given by dividing $11.52 by 8.

⇒ $11.52 / 8

⇒ $1.44 per candy necklace

The cost of each candy necklace will be $1.44 per candy necklace.

More about the Algebra link is given below.

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A freight elevator can carry a maximum cargo weight of 100,000 pounds . A convention center uses one of these elevators to move 2,500 pound containers. The total cargo weight is a function of the number of containers in the freight elevator and can be modeled by the equation f(x)=2500c . What is the domain and range?

Answers

Answer:

Domain: [0, 4]

Range: [0, 100000]

Step-by-step explanation:

Given the function:

[tex]f(x)=2500c[/tex]

Where [tex]c[/tex] is the number of container that can be carried by the freight elevator and

[tex]f(x)[/tex] is the total cargo weight.

Domain of any function is defined as the values that can be given as input and

Range of any function is defined as the values that can be of output.

Weight of each container = 2500 pound

Maximum weight that can be carried by the freight elevator = 100,000 pounds

Here, input is the number of containers.

Minimum of which can be 0 and maximum can be [tex]\frac{100000}{2500}=4[/tex]

So, domain is [0, 4] i.e. any value from {0, 1, 2, 3, 4}

Range is [0, 100000] i.e. any value between 0 and 100000 including both the values.

PLEASE HELP ALGABRA 1 !

Russ told a friend that when he visited Canada the average temperature was 12 degrees Celsius. The Formula below shows the relationship between degrees Celsius,°C and degrees Fahrenheit, °F .

C =5/9 (F-32)

Which of these is closest to the average temperature, in degrees Fahrenheit, for Russ' visits ?

A. 39 °F
B. 45 °F
C. 54 °F
D. 79 °F

Answers

Answer:

C.

Step-by-step explanation:

what is equivalent to 1

Answers

Answer:

Fractions equivalent to 1/4 are 2/8, 3/12, 4/16, 5/20.

Step-by-step explanation:

Answer: 1. because anything times 1 will get you that same number again.

Step-by-step explanation:

Which equation best represents a line perpendicular to a line passing through points (-1, 2) and (1,–8)?
O y = -5x - 3
Oy=52 - 2
O y = 5x + 2
O y=-10 - 2

Answers

Answer:

y=-5x-3

Step-by-step explanation:

put -1 and 1 in equation and you will get the answer

The equation that best represents a line perpendicular will be y = - 5x - 3. Then the correct option is A.

What is the equation of a perpendicular line?

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0

The equation of the line passing through (-1, 2) and (1, -8). Then the equation of the line will be

y + 8 = [(-8 - 2) / (1 + 1)] (x - 1)

y + 8 = -5x + 5

y = - 5x - 3

The equation that best represents a line perpendicular will be y = - 5x - 3. Then the correct option is A.

More about the equation of a perpendicular line link is given below.

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I need help with this word it’s math vocabulary I have been trying forever to see how to unscramble it and idk pls help ASAP

Answers

Answer:

hi is it null set? :))

Step-by-step explanation:

this thing : { }

Answer:

All I can think of is null set

ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS
What key words would tell you it's a two step problem? (SELECT ALL)

Question 2 options:

Total Bill


Amount of Savings


Sale Price


Final Cost


Price with Tax


Discount


Commission

Answers

Answer:

Step-by-step explanation:

amount of savings, final cost

Answer:

Total Bill

Sale Price

Final Cost

Price with Tax

Discount

Commission

hope this helps =)

 

Step-by-step explanation:

Answer if your certain plz help me

Answers

Answer:

a

Step-by-step explanation:

glenn has 2 times as many hats so, h2 and then he has 4 less so -4

Answer:

It would be the first, 2h-4

Step-by-step explanation:

H stands for hats

We don’t have the numbers to solve, which we don’t need for this problem. But if we were solving we would multiply the amount of hats Mia has by two (2h). It says Glenn has four less than that, so you would then subtract four from whatever 2h would equal.

Lebron has scored 168 points in the first 6 games of the basketball season. How many points per game has Lebron scored? Group of answer choices

Answers

Answer:

vh

Step-by-step explanation:

Answer:

28 points per game Lebron scored

Step-by-step explanation:

Given:

168 points and 6 games

Unknown:

score per game

Solution:

score per game = 168 ÷ 6

Final Answer:

score per game = 28 points per game Lebron scored

what is the polynomial expansion of 5x (7х + 3)

Answers

Answer:

50x

Step-by-step explanation:

5x(7x + 3)

(7x + 3)= 10x

5x x 10x=50x

A cafe made 3,600 in April which Is 6 times the amount of money made in March how much money did the cafe make in March ?

Answers

Answer:

600 dollars

Step-by-step explanation:

3600 divided by 6

Han ran 10 meters in 2.7 priya ran 10 meters in 2.4 seconds
Who ran faster?

Answers

Answer:

Han ran faster

Step-by-step explanation:

Answer:

priya

Step-by-step explanation:

1) associative property of union


(AUB) U C(BUA)

Answers

Ummm what is the topic maybe c

7. Factor this expression completely. -3x - 12

Answers

Answer:

Answer:

-3x - 12=-3(x+4)

Answer: positive 4

Step-by-step explanation:

A soccer ball is kicked at a velocity of 25 meters per second. The following table shows the horizontal distance (in meters) at different angles of elevation (in degrees), ignoring wind resistance.

Angle of Elevation Distance Traveled
15 31.9
25 48.8
30 55.5
45 63.8
50 62.8
55 59.9
60 55.5
70 41.0
Using a graphing or online calculator, graph this set of data on a scatter plot for reference. Then, in two or more complete sentences, explain why a quadratic function should be used to model this set of data.

Answers

Answer:

13.2m

Step-by-step explanation:

the initial vertical velocity of the ball is 25 sin 40 = 16.1m/s

since gravity reduces the vertical velocity of objects by 9.8m/s/s, this ball will reach max altitude in a time of

time = 16.1m/s / 9.8m/s/s = 1.6s

the max height is equivalent to the height an object will fall in 1.6s, so we have

height =1/2 g t^2 = 1/2 x 9.8m/s/s x (1.6s)^2 = 13.2m

what is 5.3274 rounded to the nearest thousand

Answers

Answer:

5.328

Step-by-step explanation:

To make a shade of paint called jasper green, mix 4 quarts of green paint with 2/3 cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green? To make jasper green, _____ quarts of green paint will be needed.

Answers

Answer:

24 quarts

Step-by-step explanation:

Jasper Green mix equals 4 quarts of green paint with 2/3 cups of black paint.

4 quarts = 16 cups

Find factor::

4/1 ÷ 2/3 = 4/1 × 3/2 = 6

Multiply

Green                                Black

4                                         2/3 (6)

x                                            4 (6)

=24 qts of green paint

To make jasper green, 24 quarts of green paint will be needed.

Given that,
To make a shade of paint called jasper green, mix 4 quarts of green paint with 2/3 cups of black paint.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

here,
Let the number of quarts need be x,
taking ratios,
4/[2/3] = x / 4
x = 6 × 4
x = 24

Thus, to make jasper green, 24 quarts of green paint will be needed.

Learn more about Ratio here:

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Write the equation of the line in slope - intercept form

Answers

Answer:

Y=2/5x+3

Step-by-step explanation:

Y=mx+b

The slope is rise over run to the next whole number (up 2 and over 5).

The intercept for Y is 3.

The depth of a lake in Greenpoint changes over time due to rainfall and evaporation. This year it was 539 feet, which is 10% deeper than it was last year. What was last year's depth

Answers

Answer:

485.1 feets

Step-by-step explanation:

Given that:

Depth of Lake changes over time due to Rainfall and evaporation :

Depth this year = 539 feets

Depth this year is 10%deeper than last year's depth

Depth last year will be ;

Since, this year's depth is greater Than last year :

depth last year equals ; (depth this year - 10% of depth this year)

Depth last year:

539 - (0.1 *539)

539 - 53.9

= 485.1 feets

For his phone service, Kevin pays a monthly fee of $24, and he pays an additional $0.05 per minute of use. The least he has been charged in a month is
$89.45.
What are the possible numbers of minutes he has used his phone in a month?
Use m for the number of minutes, and solve your inequality for m.

Answers

Answer:

1,509 minutes

Step-by-step explanation:

Please answer the image below

Answers

Answer:

Graph second down on the left

Step-by-step explanation:

How many total atoms are there in CuCl3

Answers

5. There is 1 atom of Calcium, 1 atom of Carbon, and 3 atoms of Oxygen. Hope this helped!

Answer:

4

Step-by-step explanation:

Cbghsgnrtjurshtjfikydtku

The mass of a mineral is 9.6 g. The mineral is placed in a graduated cylinder containing 8.0 mL of water. The water level rises to 16.0 mL. What is the mineral density ?

Answers

The volume of the mineral = increase in volume of the water whuich is 16 - 8 = 8mls.

Therefore the  mineral's density = 9.6 / 8

= 1.2 g/ ml   answer

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