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?
a) Define a variable for the cost of one cupcake.
b) Write an expression to represent the cost of a layer cake.
c) Write and solve an equation.
d) Interpret your solution within the context of the problem.

Given:

Renting a small moving truck for a day costs $29.95 plus $0.79 per mile that the truck is driven. Ms. Knowles rented a truck for one day and paid $91.57.

The equation is

[tex]29.95 + 0.79d = 91.57[/tex]

To find:

Whether the statement are true or false.

Solution:

We have,

[tex]29.95 + 0.79d = 91.57[/tex]

Here,

Fixed cost = 29.95

Variable cost = 0.79d, it depends on the number of miles Ms. Knowles drove.

So, the variable d represents the number of miles Ms. Knowles drove.  Hence, statement A is true.

The term 0.79d represents the charge in dollars for the distance driven. Hence, statement B is true.

You can isolate the term 0.79d by subtracting 29.95 from both sides of the equation.

Hence, statement C is false.

Answer:

x =-35

Step-by-step explanation:

2/5x−3=−17

Add 3 to each side

2/5x−3+3=−17+3

2/5x = -14

Multiply each side by 5/2

5/2 * 2/5x = -14 * 5/2

x = -35

Answer:

x = -35

Step-by-step explanation:

I hope this helps!

Answer:

y=-2/3x

I think that's the simplest form

Answer:

b

Step-by-step explanation:

Answer: B

Explanation there is nothing for me to explain

Answer:

10. you're welcome, good Luckk!

Answer:

you go to the right 5 and go up 10

Step-by-step explanation:

Answer:

The answer is

[tex] \huge y = 4x - 22[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (3, -10) and the slope 4

We have

[tex]y + 10 = 4(x - 3) \\ y + 10 = 4x - 12 \\ y = 4x - 12 - 10[/tex]

We have the final answer as

[tex]y = 4x - 22[/tex]

Hope this helps you

Answer:

y+10=4(x-3) in point-slope form

Step-by-step explanation:

In point-slope form, this is how you will write out the equation. Point slope form is y-y1=m(x-x1). You substitute the values in order to get this equation.

Answer:

k=17

Step-by-step explanation:

k=51/3

Answer: k=17

Step-by-step explanation: 51 divided by 3=17, so k has to be 17

Answer:

The inverse of the function is

P^-1(t) = Log5 t - Log5 19,300

or P^-1(t) = Log5 (t/19,300)

Step-by-step explanation:

Here, we want to find the inverse of the function.

Make t the subject of the formula, then solve the equation for P(t)

P(t) = 19,300(5)^t

Replace P(t) with t and t with P(t)

So we have

t = 19,300(5)^P(t)

Now make P(t) subject of formula

divide both sides by 19,300

t/19,300 = 5^p(t)

By logarithmic law:

Log5 (t/19,300) = P(t)

Hence P(t) = Log5 t - Log5 19,300

Now replace P(t) with P^-1(t)

So the inverse is;

P^-1(t) = Log5 t - Log5 19,300

Answer:

C)

Step-by-step explanation:

got it right on edge :)

Answer:

0.625

It has 3 digits (finite) after the decimal point.

Step-by-step explanation:

Given that :

Total number of pitches = 384

Total number of fasfballs = 240

To make an update :

Ratio of the number of fastballs and total number of pitches

240 : 384

240/384

= 0.625

The result is a terminating decimal as it has a known number of digits after the decimal point. In the solution above, 0.625 has 3 digits after the decimal point and it is thus a terminating decimal.

Answer:

what is the question exactly??

can you please elaborate...

Step-by-step explanation:

Answer: The greatest number of plates Lenin can prepare = 4

and there will be 3 chickens and 4 rolls in each plate.

Step-by-step explanation:

Given: Lenin is preparing dinner plates. He has 12 pieces of chicken and 16 rolls.

To make all the plates identical without any food left over, the greatest number of plates Lenin can prepare = G.C.D.(12,16)=4

The number of pieces of chicken in each plate = [tex]\dfrac{12}{4}=3[/tex]

The number of pieces of rolls in each plate = [tex]\dfrac{16}{4}=4[/tex]

So,  the greatest number of plates Lenin can prepare = 4

and there will be 3 chickens and 4 rolls in each plate.

Answer:

A'A = 18 units, B'B = 9 units

Step-by-step explanation:

Δ ACB and Δ A'CB' are similar triangles, thus the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{A'C}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , substitute values

[tex]\frac{AC}{12}[/tex] = [tex]\frac{20}{8}[/tex] ( cross-  multiply )

8AC = 240 ( divide both sides by 8 )

AC = 30

Thus A'A = AC - A'C = 30 - 12 = 18 units

--------------------------------------------------------------------

and

[tex]\frac{CB}{CB'}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , that is

[tex]\frac{CB}{6}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )

8CB = 120 ( divide both sides by 8 )

CB = 15

Thus

B'B = CB - CB' = 15 - 6 = 9 units

Answer:

74.52

Step-by-step explanation:

Answer:

The last choice is correct

[tex]LCM=120a^4b^7c^5[/tex]

Step-by-step explanation:

Least Common Multiple (LCM)

To find the LCM we can follow this procedure:

List the prime factors of each monomial.

Multiply each factor the greatest number of times it occurs in either factor.

We have two monomials:

[tex]12a^4b^2c^5[/tex]

[tex]40a^3b^7c^1[/tex]

The prime factors of the first monomial are:

[tex]2^2,3,a^4,b^2,c^5[/tex]

The prime factors of the second monomial are:

[tex]2^3,5,a^3b^7c^1[/tex]

LCM = Multiply [tex]2^3*3*5*a^4*b^7*c^5[/tex]

These are all the factors the greatest number of times they occur.

Operating:

[tex]LCM=8*15*a^4*b^7*c^5[/tex]

[tex]\boxed{LCM=120a^4b^7c^5}[/tex]

The last choice is correct

Answer:

If you want this in an equation, it would be [tex]15x <32[/tex]

If you want the answer to this, it would be [tex]x<2\frac{2}{15}[/tex]

Step-by-step explanation:

Hope this helps:)

Answer:

x=2

Step-by-step explanation:

Answer:

5/3 or 1 2/3 there you go

Answer:

93

Step-by-step explanation:

Answer:

I believe that g=dc

Step-by-step explanation:

You swap positions with g and c along with their sign of operation.

The Equation is s = 170 t - 150 and 1210 pounds of strawberries can be processed in 8 hours.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

A cannery processed 785 pounds of strawberries in 5.5 hours.

and, The cannery processed 1550 pounds in 10 hours.

let S be weight of strawberries and T be the Time.

So,

slope = (1550 - 785) / (10 - 5.5)

         = 170

Using slope- intercept form

y = mx + b

1550 = 170 (10) + b

b= -150

Then, y = 170 x - 150

and the equation is s = 170 t - 150

At t= 8 hour

s= 170x 8 - 150

s = 1210 pound.

Learn more about slope here:

https://brainly.com/question/1778750

#SPJ5

Answer:

Step-by-step explanation:

it would be to subract 0.01 from 0.025 because you want to get the x by itself

Answer:

(-0,1)        

Really sorry if it's wrong! Have a good day!!

Answer:

19.04

Step-by-step explanation:

convert 170% into decimal form number:

1.7

Then multiply by 11.2:

1.7 × 11.2 = 19.04

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer: 47,780 steps

Step-by-step explanation: For Alex's steps, we'll need to move the decimal four places to the right, and once you do that you should get 24,200. Add 24,200 and 23,580 together and you should get 47,780 steps.

Answer:

g=4⅔

Step-by-step explanation:

3(g - 2)=8

3g -6 = 8

3g= 8+6

3g= 14

[tex] \frac{3g}{3} = \frac{14}{3} [/tex]

g=4⅔

hope this helps

Step-by-step explanation:

3(g - 2) = 8

3(g - 2) = 8

+ 2 +2

3g = 8

3÷3= 0 8÷3 = 4.6

so your answer will be g= 4.6 (5 if you round it up) or if you need it in fraction form it will be 4 and 2/3

Answer:

30

Step-by-step explanation:

2x^3+3y-4

2(2)^3+3(6)-4

2(8)+18-4

16+18-4

30

2(8)+3(6)-4

16+18-4

30

Answer:

x is 8 and y is -2

Step-by-step explanation:

Answer:

D: 0.4 m/s

Step-by-step explanation:

32.5 in 13 sec

32.5/32.5=1

so

13/32.5 would be the answer

1 meter in 0.4

Answer:

C

Divide 32.5 with 13, because m/s means meters divide by seconds

im not sure tho