You bought 5 chocolate bars and 8 blow pops for $23.25. Your sister bought 2 chocolate bars and 13 blow pops for $21.55. How much did each chocolate
bar cost? Each chocolate bar cost?

Answers

Answer 1

Answer:

Cost of each chocolate bar  = $2.65

Cost of each blow pop  = $1.25

Step-by-step explanation:

Let x = Cost of chocolate bar

y= Cost of blow pops

We can make system of equations and find value of x and y

You bought 5 chocolate bars and 8 blow pops for $23.25.[tex]5x+8y=23.25[/tex]

Your sister bought 2 chocolate bars and 13 blow pops for $21.55. [tex]2x+13y=21.55[/tex]

Let:

[tex]5x+8y=23.25--eq(1)\\2x+13y=--eq(2)[/tex]

Multiply eq(1) with 2 and eq(2) with 5 and subtract

[tex]10x+16y=46.5\\10x+65y=107.75\\- \ \ \ - \ \ \ \ \ \ - \\------\\-49y=-61.25\\y=\frac{-61.25}{-49} \\y=1.25[/tex]

So, value of y = 1.25

Putting value of y in eq(1) to find value of x

[tex]5x+8y=23.25\\5x+8(1.25)=23.25\\5x+10=23.25\\5x=23.25-10\\5x=13.25\\x=13.25/5\\x=2.65[/tex]

Value of x = 2.65

So, Cost of each chocolate bar = x = $2.65

Cost of each blow pop = y = $1.25


Related Questions

What is 0.7439 rounded to the nearest hundredth need help

Answers

Answer:

0.74

Step-by-step explanation:

0.7439 = 0.74

The difference of 10 and 3 times x .

Answers

Answer:

10-3x      that would be 7x

Step-by-step explanation:

10-3=7

7times x=7x

can i plz have brainliest?

plz?

plzzz help meeWhich of these copper wires has the

highest resistance?

A 0.5 mm diameter, 10 cm long

B 0.5 mm diameter, 20 cm long

C 1.0 mm diameter, 10 cm long

D 1.0 mm diameter, 20 cm long

Answers

Answer:

A. option is your answer.

... hope it helps you friend ❤️

.....and please follow me

Please help me out!!!!!

Answers

Answer:

last option is the polynomial

Step-by-step explanation:

The easiest way to go about this is to look at the last statement

f(2) = 144

The solution to finding the polynomial is by substituting x = 2 into any of the polynomials; if after substituting, we have the value as 144, then the given polynomial is our answer

Let us have a look at each of the polynomials in the option;

1. 2(2)^7 -8(2)^5 + 2(2)^3 = 16

This cannot be our answer

2. 2(2)^7 - 2(2)^5 + 4(2)^3 = 224

This is not our answer

3. 2(2)^7 - 2(2)^5 + 144(2)^3 = 1,344

This is not our answer

4. 2(2)^7 -4(2)^5 + 5(2)^3 = 168

This is not our answer

5. 2(2)^7 -4(2)^5 + 2(2)^3 = 144

This is our answer

A social studies teacher orders several large maps for his classroom. The maps are to be shipped in a cylindrical
mailing package with a radius of 3 inches and a volume of 1,356.48 cubic inches.
What is the height of the mailing package? Use 3.14 for pi
A. 36 inches
В. 48 inches
C. 144 inches
D. 72 inches

Answers

A.) 36 inches is the right answer

Tom buys some shirts for $15 each. He has a coupon for $9 off the total price. If he pays $36, how many shirts, s, did he buy? Choose the correct equation to solve.
1 point

Answers

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3*15 = 45

45-9 = 36, so he has enough money

HURRY I ONLY HAVE 3 MINUTES

Answers

Answer:3rd one down

Step-by-step explanation

Answer:

The answer is the 2nd option [tex]h(x) = \sqrt[3]{x+2}[/tex]

Step-by-step explanation:

The parent cube root function intersects the origin (0,0). Putting a positive two with the x under the cube root moves the function 2 units to the left. So the second answer is correct.

30 POINTS!!!!
A scuba diver is swimming at a depth of 46 meters below sea level. He swims 0.5 meters toward the surface every 3 seconds.

What is his location relative to the surface after 15 seconds?

Answers

he is at sea level 43.5 i am pretty sure

Answer:

The scuba diver would be 43.5 meters from the surface after 15 seconds

Step-by-step explanation:

So first we need to take 0.5 and multiply it by 5 since we know 15 divided by 3 is equal to 5, and we get 2.5

We then take 46 and subtract 2.5 from it, resulting in 43.5

rewrite as a monomial in its standard form:

-(3xy)^2 * (-3x)^3

Answers

Your answer is: 243x^5y^2

Merry Christmas and I hope this helps!!

It takes 12 hours to fill a pool with two pipes, where the water in one pipe flows three times as fast as the other pipe. How long will it take the slower pipe to fill the pool by itself

Answers

I think it’s 72hours

Katherine invested $86,000 in an account paying an interest rate of 52%
compounded daily. Michael invested $86,000 in an account paying an interest rate of
5% compounded continuously. After 13 years, how much more money would
Katherine have in her account than Michael, to the nearest dollar?

Answers

Answer: $4,331‬

Step-by-step explanation:

I will assume that the question meant 5.2% not 52% as this is quite excessive.

Katherine after 13 years.

Convert the variables;

n = 13 years = 13 * 365 = ‭4,745‬ days

r = 5.2% = 5.2/365 = 5.2/365%

Future value = P * ( 1 + r)^n

= 86,000 * (1 + 5.2/365%)⁴⁷⁴⁵

= $169,068

Michael after 13 years;

If compounded continuously, the formula is;

Future value = Pe^rt

= 86,000 * e⁰.⁰⁵ ˣ ¹³

= $164,737

Difference = 169,068 - 164,737

= $4,331‬

Solve for x:16^(4x-3)=8^(2x+4)

Answers

Answer:

x = 2.4

Step-by-step explanation:

16^(4x - 3) = 8 ^ (2x + 4)

16 = 2^4

8 = 2^3

2 ^ 4*(4x - 3) = 2^3(2x + 4)

Since the bases are the same, you can equate the powers

4(4x - 3) + 3*(2x + 4)           Remove the brackets.

16x - 12 = 6x + 12                 Subtract 6x from both sides

16x - 6x - 12 = 12                Combine the terms on the left

10x - 12 = 12                        Add 12 to both sides

10x = 24                              Divide by 10

x = 2.4

The product of 3 and r

Answers

Answer and Step-by-step explanation:

The product of something is when two things multiply each other.

The product of 3 and r would then be 3r.

This is because we are multiplying 3 by r, which results in 3r.

#teamtrees #WAP (Water And Plant)

The product of 3 and r is 3r.

Product of 3 and r is to determine.

What is product?

Product of two values or more is the number of times one value to the other.

Here,
Product can be given as
= 3 x r
= 3r

Thus, The product of 3 and r is 3r.

Learn more about product here:
https://brainly.com/question/22852400

#SPJ2

Combine into a single logarithm.

3log(x+y)+2log(x-y)-log(x^2 +y^2)

Answers

Answer:

[tex]3\log _{10}\left(x+y\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

Step-by-step explanation:

Given the expression

[tex]3log\left(x+y\right)+2log\left(x-y\right)-log\left(x^2\:+y^2\right)[/tex]

solving to write into a single logarithm

[tex]3log\left(x+y\right)+2log\left(x-y\right)-log\left(x^2\:+y^2\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \:a\log _c\left(b\right)=\log _c\left(b^a\right)[/tex]

[tex]3\log _{10}\left(x+y\right)=\log _{10}\left(\left(x+y\right)^3\right)[/tex]

so

[tex]=\log _{10}\left(\left(x+y\right)^3\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \:a\log _c\left(b\right)=\log _c\left(b^a\right)[/tex]

[tex]2\log _{10}\left(x-y\right)=\log _{10}\left(\left(x-y\right)^2\right)[/tex]

so

[tex]=\log _{10}\left(\left(x+y\right)^3\right)+\log _{10}\left(\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(a\right)+\log _c\left(b\right)=\log _c\left(ab\right)[/tex]

[tex]\log _{10}\left(\left(x+y\right)^3\right)+\log _{10}\left(\left(x-y\right)^2\right)=\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)[/tex]

so

[tex]=\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(a\right)-\log _c\left(b\right)=\log _c\left(\frac{a}{b}\right)[/tex]

[tex]\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

[tex]=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

Thus,

[tex]3\log _{10}\left(x+y\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

Juanita works in a bakery. She uses 10 eggs to make 3 cakes, 16 eggs to make 5 cakes, and 25 eggs to make 8 cakes. What rule does Juanita follow when she bakes cakes?


A. c = 3e + 4

B. e = c + 7

C. e = 3c + 1

D. c = 3e + 2

Answers

Answer:

ur answr is C)e = 3c + 1

Step-by-step explanation:

if u take ur number of cakes times 3 and add one, you get the rite amount of eggs each time.

Hope this helps!! Pls mark me brainliest!!

Write the point-slope form of the given line that passes through the points (0, -3) and (4, 1). Identify (x1, y1) as (0, -3). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answers

Answer:

X1=0

Y1=-3

X2=4

Y2=1

Slope=(y2-y1)/(x2-x1)

Slope=(1-(-3))/(4-0)

Slope=4/4

Slope=1

Step-by-step explanation:

hello there can anyone solve this plz (chart is attached):
correct answer gets brainliest
If h(x) = f[f(x)] use the table of values for f and f ' to find the value of h '(1)

Answers

Answer:

[tex]h^\prime(1)=14[/tex]

Step-by-step explanation:

We have the function:

[tex]h(x)=f[f(x)][/tex]

And we want to find:

[tex]h^\prime(1)[/tex]

So, we will differentiate function h. By the chain rule, this yields:

[tex]h^\prime(x)=f^\prime[f(x)]\cdot f^\prime(x)[/tex]

Then it follows that:

[tex]h^\prime(1)=f^\prime[f(1)]\cdot f^\prime(1)[/tex]

Using the table, we acquire:

[tex]h^\prime(1)=f^\prime(3)\cdot2[/tex]

And using the table again, we acquire:

[tex]h^\prime(1)=7\cdot 2[/tex]

Evaluate. Hence:

[tex]h^\prime(1)=14[/tex]

The speed limit is 55 kilometers per hour. What is the speed limit in miles per hour?

Answers

Answer:

34.2 or 34.20

Step-by-step explanation:

I think that it is this

Answer:

34.2

Step-by-step explanation:

3 less than the quotient of a number y and 4
Expression:
When y = 20, the value of the expression is
Please help ASAP!!

Answers

Step-by-step explanation:

3 less than the quotient of a number y and 4

= y/4 - 3.

When y = 20, y/4 - 3 = 20/4 - 3 = 2.

PLEASE HELP! 40 POINTS! How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction? (The proportion is: 7/8 = x/24)


a.Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x.

b.Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x.

c.Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x.

d.Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Answers

Answer:

as isyllus says, Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Step-by-step explanation:

We given the fraction to be solved:

Using cross multiplication method:

i.e. Numerator of Left Hand Side term to be multiplied with Denominator of Right Hand Side term and put equal to multiplication of denominator of Left Hand Side term to Numerator of Right Hand Side term.

So, the first step to be carried out as per cross multiplication method:

Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Step-by-step explanation:

Find the value of 7 + 3↑2 (-5 + 1) ÷ 2.

Answers

Answer:

-11

Step-by-step explanation:

7 + 3↑2 (-5 + 1) ÷ 2

7 +  3↑2(-4)  ÷ 2

7+9(-4) ÷ 2

7+(-36) ÷ 2

7-18

-11

Answer:

Im not sure what the arrow is for but

7 + 3.2 (-5 + 1) ÷ 2= 8.2

Step-by-step explanation:

7+3.2=10.2

(-5+1)÷2= -2

-2+10.2= 8.2

ANSWER: 8.2

7th grade math help me pleaseee

Answers

no, -6+2= -4

not -6 +(-2)

19(2m−16)=13(2m+4) (pls helppp)

Answers

Answer:

Simplified this is -304 + 38m = 52 + 26m

m in the equation is 29 2/3

Step-by-step explanation:

Reorder the terms:

19(-16 + 2m) = 13(2m + 4)

(-16 * 19 + 2m * 19) = 13(2m + 4)

(-304 + 38m) = 13(2m + 4)

Reorder the terms:

-304 + 38m = 13(4 + 2m)

-304 + 38m = (4 * 13 + 2m * 13)

-304 + 38m = (52 + 26m)

Simplfied answer:

-304 + 38m = 52 + 26m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-26m' to each side of the equation.

-304 + 38m + -26m = 52 + 26m + -26m

Combine like terms: 38m + -26m = 12m

-304 + 12m = 52 + 26m + -26m

Combine like terms: 26m + -26m = 0

-304 + 12m = 52 + 0

-304 + 12m = 52

Add '304' to each side of the equation.

-304 + 304 + 12m = 52 + 304

Combine like terms: -304 + 304 = 0

0 + 12m = 52 + 304

12m = 52 + 304

Combine like terms: 52 + 304 = 356

12m = 356

Divide each side by '12'.

m = 29.66666667

Simplifying

m = 29.66666667 = 29 2/3

Write the truth value (T/F) of each of the following statements:
(1)The general of two similar figures are the same.
(2)The corresponding angles of two similar figures are congruent.
(3)The perimeter of two similar figures are always congruent.
(4)The side lengths of two similar figures are always congruent.
(5)The areas of two similar figures are always congruent.

Please help, i’ll give brainlist! :))

Answers

Answer:

False,True,True,True,True I think

A trader paid 15 for 6 drinking cups. One of the cups got broken. He sold the remaining five, making a profit of 10percent calculates the cost of each of the six cups ​

Answers

Answer:

The cost of each of the six cups is 2.50.

Step-by-step explanation:

The cost of each of the six cups can be calculated as follows:

Cost per cup = Total cost / Number of cups paid for ................. (1)

Where;

Cost per cup = ?

Total cost of cups = 15

Number of cups paid for = 6

Substituting the values into equation (1), we have:

Cost per cup = 15 / 6

Cost per cup = 2.50

Therefore, the cost of each of the six cups is 2.50.

can you help me plaese fast ​

Answers

Step-by-step explanation:

Divided by zero is undefined. Hence B is the answer.

Answer:

the answer is B

Step-by-step explanation:

A number divided to 0 is undefined

find the slope of the line that passes through (48,44) and (6,9)


Answers

The slope is 0.8 if that’s what you’re talking about
It’s 35/42 my work is in the picture

What is the solution of the equation: - 7 – x = 20

Answers

Step-by-step explanation:

Given

- 7 - x = 20

- x = 20 + 7

- x = 27

therefore x = - 27.

please answer quickly
geometry reflections translation: (x, y)->(x+2, y- 1)
H(-2, 4), 1(0,5), H3, 2)

Answers

Answer:

H'(0, 3); I'(2, 4); J'(5, 1)

Step-by-step explanation:

H'(-2+2,4-1)

H'(0, 3)

I'(0+2, 5-1)

I'(2, 4)

J'(3+2, 2-1)

J'(5, 1)

Which decimal is equivalent to 5/8

Answers

The answer is the first option: 0.625

Answer:

0.625

Step-by-step explanation:

The lines on top of the numbers means that the number continues for a long time. However, 5/8 isn't infinite which means we can rule the 2nd and 3rd options. We also know that 5/8 certainly isn't greater than 1 which means the only answer we have left is the 1st one.

(sorry this is so confusing but I hope it helped anyway)

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