Sebastian bought snacks for his team': practice. He bought a bag of popcorn for $1.68 and a 15-pack of juice bottles. The total cost before tax was $21.78. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?

Answers

Answer 1

Answer:

Each bottle of juice costs $1.34.

Step-by-step explanation:

From the information given, the equation would indicate that the total cost is equal to the price per bag of popcorn for the number of bags plus the price per pack of juice bottles for the number of packs.

Total cost=(1.68*1)+15x

Total cost=1.68+15x

Now, you can replace the total cost with $21.78 and solve for x:

21.78=1.68+15x

21.78-1.68=15x

20.1=15x

x=20.1/15

x=1.34

According to this, the answer is that each bottle of juice costs $1.34.

Answer 2

Answer: $1.25

Step-by-step explanation:


Related Questions

Casey paid a total of $24.00 for 4 shirts. If each shirt costs the same amount, what is the price of one
shirt?

Answers

Answer:

$6

Step-by-step explanation:

6 x 4 = 24

Select the one number that does NOT belong in the following set of whole
numbers.
{0, 1, 3, 7, 9, 14, 2.7}
14
0
7
2.7
3
9
1

Answers

Answer:

2.7

Step-by-step explanation:

2.7 is not a whole number because it has a decimal behind it. All of the other numbers are whole because they do not.

Answer:

2.7

Step-by-step explanation:

2.7 is not a whole number

it is not a whole number because a whole number is something that doesn't have a fraction or a decimal.

btw please mark me brianliest if you can. :>

Which expression is equivalent to
(5^-2)(5^-1)?

Answers

Answer:

5^-2.5^-1

5^-2-1

5^-3

1/125

Does the system have no solution?​

Answers

Answer:

[tex]\mathrm{A)\:}-6[/tex]

Step-by-step explanation:

Notice that in the second equation, the coefficient of [tex]y[/tex] is [tex]2[/tex] times greater than in the first. Therefore, by making the coefficient of [tex]x[/tex] in the second equation [tex]2[/tex] times greater than in the first, it's impossible to only isolate one variable.

Therefore, when [tex]a=-3\cdot 2=\fbox{-6}[/tex], there are no solutions to this system.

Several children and adults visited a zoo last week. The
number of children was 4 more than 2 times the number of
adults. Let c represent the number of children and a represent
the number of adults. Which equation shows this situation?
C=4a-2
B
C = 4a + 2
C = 2a + 4
D
C = 2a-4

Answers

Answer 2a+4 i think...

1. Solve this quadratic by factoring
6x^2+7x-5=0

2. Solve this quadratic by factoring x^2+5x-14=0

3. Solve this quadratic using the quadratic formula
3x^2-7x-9=0

4. Solve this quadratic by factoring
X^2-25=0

5. Solve this quadratic by factoring
X^2-6x=0

Please show work.

Answers

ANSWER #1:

x = -1.666666667

x = 0.5

STEP-BY-STEP:

Simplifying

6x2 + 7x + -5 = 0

Reorder the terms:

-5 + 7x + 6x2 = 0

Solving for variable 'x'.

(-5 + -3x)(1 + -2x) = 0

SUBPROBLEM 1

Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying

-5 + -3x = 0

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

Add '5' to each side of the equation.

-5 + 5 + -3x = 0 + 5

Combine like terms:

0 + -3x = 0 + 5

-3x = 0 + 5

Combine like terms:

-3x = 5

Divide each side by '-3'.

x = -1.666666667

Simplifying

x = -1.666666667

SUBPROBLEM 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying

1 + -2x = 0

Move all x terms to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -2x = 0 + -1

Combine like terms:

0 + -2x = 0 + -1

-2x = 0 + -1

Combine like terms:

-2x = -1

Divide each side by '-2'.

x = 0.5

Simplifying

x = 0.5

ANSWER #2:

x = -7

x = 2

STEP-BY-STEP:

Simplifying

x2 + 5x + -14 = 0

Reorder the terms:

-14 + 5x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-7 + -1x)(2 + -1x) = 0

SUBPROBLEM 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying

-7 + -1x = 0

Solving

-7 + -1x = 0

Move all x terms to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + -1x = 0 + 7

Combine like terms:

0 + -1x = 0 + 7

-1x = 0 + 7

Combine like terms:

-1x = 7

Divide each side by '-1'.

x = -7

Simplifying

x = -7

SUBPROBLEM  2

Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying

2 + -1x = 0

Solving

2 + -1x = 0

Move all x terms to the left, all other terms to the right.

Add '-2' to each side

2 + -2 + -1x = 0 + -2

Combine like terms:

0 + -1x = 0 + -2

-1x = 0 + -2

Combine like terms:

-1x = -2

Divide each side by '-1'.

x = 2

Simplifying

x = 2

ANSWER #3:

x = 3.25

x = -0.92

STEP-BY-STEP

Simplifying

3x2 + -7x + -9 = 0

Reorder the terms:

-9 + -7x + 3x2 = 0

Solving for variable 'x'.

Divide each side by '3'.

-3 + -2.333333333x + x2 = 0

Add '3' to each side

-3 + -2.333333333x + 3 + x2 = 0 + 3

Reorder the terms:

-3 + 3 + -2.333333333x + x2 = 0 + 3

Combine like terms:

0 + -2.333333333x + x2 = 0 + 3

-2.333333333x + x2 = 0 + 3

Combine like terms:

-2.333333333x + x2 = 3

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).

Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side

-2.333333333x + 1.361111112 + x2 = 3 + 1.361111112

Reorder the terms:

1.361111112 + -2.333333333x + x2 = 3 + 1.361111112

Combine like terms:

1.361111112 + -2.333333333x + x2 = 4.361111112

Factor a perfect square on the left side:

(x + -1.166666667)(x + -1.166666667) = 4.361111112

Calculate the square root of the right side: 2.088327348

Break this problem into two subproblems by setting

(x + -1.166666667) equal to 2.088327348 and -2.088327348.

SUBPROBLEM 1

x + -1.166666667 = 2.088327348

Simplifying

x + -1.166666667 = 2.088327348

Reorder the terms:

-1.166666667 + x = 2.088327348

Solving for variable 'x'.

Move all x terms to the left, all other terms to the right.

Add '1.166666667' to each side

Combine like terms:

0.000000000 + x = 2.088327348 + 1.166666667

x = 2.088327348 + 1.166666667

Combine like terms:

2.088327348 + 1.166666667 = 3.254994015

Simplifying

x = 3.254994015

SUBPROBLEM 2

x + -1.166666667 = -2.088327348

Simplifying

x + -1.166666667 = -2.088327348

Reorder the terms:

-1.166666667 + x = -2.088327348

Solving

-1.166666667 + x = -2.088327348

Solving for variable 'x'.

Move all x terms to the left, all other terms to the right.

Add '1.166666667' to each side of the equation.

-1.166666667 + 1.166666667 + x = -2.088327348 + 1.166666667

Combine like terms: -1.166666667 + 1.166666667 = 0.000000000

0.000000000 + x = -2.088327348 + 1.166666667

x = -2.088327348 + 1.166666667

Combine like terms: -2.088327348 + 1.166666667 = -0.921660681

x = -0.921660681

Simplifying

x = -0.921660681

ANSWER #4:

x = -5

x = 5

STEP-BY-STEP:

Simplifying

x2 + -25 = 0

Reorder the terms:

-25 + x2 = 0

Solving

-25 + x2 = 0

Solving for variable 'x'.

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

Add '25' to each side

-25 + 25 + x2 = 0 + 25

Combine like terms: -25 + 25 = 0

0 + x2 = 0 + 25

x2 = 0 + 25

Combine like terms: 0 + 25 = 25

x2 = 25

Simplifying

x2 = 25

Take the square root of each side:

x = {-5, 5}

Please help me answer this question. Can you the doc

Answers

Answer:

I opened the doc but what's the question..? I only see attendance..

Step-by-step explanation:

help me please..... :))

Answers

I hope this helps...

Question:
A method of solving systems
of linear equations by______
an expression for a variable and then solving for the other variable is called_______
Answer choices:
•graphing
•substitution
•substituting
•solving
(help me please)

Answers

Answer:

substituting  & graphing

Step-by-step explanation:

(4p-4)+(-7p-7)
I need HELP ON THIS PLEASE FAST!!

Answers

Answer:

The correct answer is number 2

-3p - 11

I'm 1000000% sure...

Domingo is replacing the baseboards in his home and calculates that he will need 637.5 feet of wood. When he travels to the hardware store, he discovers that baseboards are sold in 7.5-foot lengths. How many boards will Domingo need to purchase?

Answers

Answer:

Number of boards= 85

Step-by-step explanation:

Giving the following information:

Total wood required= 637.5 feet of wood

The baseboards are sold in 7.5-foot lengths.

To calculate the number of boards, we need to use the following formula:

Number of boards= total wood required / foot per board

Number of boards= 637.5 / 7.5

Number of boards= 85

please help me i’m so confused

Answers

If the angles on this diagram were labeled this would be a lot easier to describe, but here goes...
We need to find the angle they are calling “1”, at the bottom of the triangle on the far left of the diagram. In order to find that angle, we have to find the other 2 angles first.
The top left corner of the diagram is marked as a right angle (90 degrees) with a line dividing that angle. If one part is 36 degrees, the other is 54 (90-36=54).
Now look in the middle of the diagram where the 2 lines criss-cross. A straight line is 180 degrees...since we see that the one angle in the middle is 88 degrees, the other part of it must be 92 degrees (180-88=92).
You now know 2 of the 3 angles...54 and 92. All 3 angles of a triangle = 180 degrees so we can write this equation...
54 + 92 + (angle 1) = 180
So angle “1” = 34 degrees

Tyler says he invented a number puzzle.



He asks Clare to pick a number, and then asks her to do the following:



Triple the number



Subtract 7

Double the result



Subtract 22



Divide by 6



Clare says her final answer is -3. Tyler says her original number she thought must have been 3.



How did Tyler know that? Explain or show your reasoning.

Answers

If Clare’s original number was 3 then she would first triple the number
3*3 is 9
Subtract 7 from 9 and you get 2
2 doubled is 4
22 subtracted from 4 is -18
-18 divided by 6 is -3
So Tyler just took Clare’s final answer (-3) and did the opposite if the steps back words
(multiple by 6, add 22, divide by 2, add 7, divide by 3)

In Jefferson Middle School, 5% of the sixth graders have red hair. If there are 100 sixth graders, how many have red hair?
5
20
50
95

help im am i n a test !!!!

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

[tex] \frac{5}{100} \times 100[/tex]

i need help with this question

Answers

Answer:

x=-2/9

y=-46/9

           

Step-by-step explanation:

X=-2/9
Y=-46/9
Mark me as a brain less pls

the point p and all points to the left and right of P ​

Answers

Answer:

ifyiohdihw5;goish;5iyhw;lij5yp'owk5yjw6iyjhge5g.liejh.lijs4l5yjwe4il5jywo4j5

Step-by-step explanation:

;orihwuklh5tijw/i6yji5yjitkyn5kkt;elfojyjhk;tmghl

Is this correct for number 5 if not please help

Answers

Answer:

Yes it is! good job

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Meryl needs to cut down 10.5 trees for every 5 cabins she builds.

Complete the table using equivalent ratios.

Number of trees Number of cabins

10.5 5
__ 3
__ 7

Answers

Answer:

for seven cabins it should be 14.7 trees, im not sure about 3 cabins, sorry :(

Answer:

3) 6.3

7) 14.7

Step-by-step explanation:

Use ratios to solve the table

10.5/5 = x/3

cross multiply

31.5 = 5x

x = 6.3

10.5/5 = x/7

73.5 = 5x

x = 14.7

The daily fees for the Fun Town amusement park are
$10 per adult and $5 per child. Yesterday, daily fees
were paid for a adults and c children. Which of the
following expresses the total amount in dollars,
collected for daily fees yesterday?

Answers

Answer:did you get the answer???

Step-by-step explanation:

    Expression representing total amount collected for the daily fees yesterday will be $(10a + 5c).

 Daily fees for the Fun Town amusement Park are,

Adult → $10 eachChild → $5 each

If there were 'a' adults and 'c' children in the park yesterday,

Total amount to be paid = $(10a + 5c)

   Therefore, expression for the total amount collected for daily fees yesterday will be $(10a + 5c).

Learn more,

https://brainly.com/question/15805316

Which expression is a factor of 18 x 2 - 15 x +2?

Answers

Answer:

(6x-1)(3x-2)

Step-by-step explanation:

18x²-15x+2 = 18x²-12x-3x+2= 6x(3x-2)-1(3x-2)=(6x-1)(3x-2)

Find the slope of the line passing through points -2, 2 and 2, 0

Answers

Explanation

We can find the slope by using the slope formula. Also know rise over run.

[tex] \large \bold{m = \frac{rise}{run} }[/tex]

[tex]m = \frac{2 - 0}{ - 2 - 2} \\ m = \frac{2}{ - 4} \\ m = - \frac{1}{2} [/tex]

From the slope-intercept y = mx+b.

[tex] \large \bold {m = slope } \\ \large \bold {b = y - intercept }[/tex]

Answer

[tex] \large \boxed { - \frac{1}{2} }[/tex]

Answer:

-1/2

Step-by-step explanation:

Going from (-2, 2) to (2, 0), x (the run) increases by 4 and y (the rise) decreases by 2.  Thus, the slope of this line is m = rise / run = -2/4 = -1/2.

The length of a rectangle is 6 ft longer than its width.
If the perimeter of the rectangle is 68 ft, find its length and width.

Answers

Answer:

the length is 23 ft and the width is 11 ft

Step-by-step explanation:

68/4 = 17

17 17 17 17

11 11 23 23

What is the value of x in the solution to this system of equations ?
Y+2x=-1
Y=(1/2)x+4

Answers

Answer:

2×+y=-1

Do you think I'm right???

find the x for these ​

Answers

Answer:

i hope these are helpful

Heeeeelp pleaseeeee I will mark brainliest (if the answer is right)

Answers

Answer:

p = 6

Step-by-step explanation:

The slope equation is:

[tex]m = \frac{y \frac{}{2} - y \frac{}{1} }{x \frac{}{2} - x \frac{}{1} } [/tex]

then to know the value of "p":

[tex] - \frac{1}{3} = \frac{7 - p}{p - 9} \\ - 1(p - 9) = 3(7 - p) \\ - p + 9 = 21 - 3p \\ 3p - p = 21 - 9 \\ 2p = 12 \\ p = \frac{12}{2} \\ p = 6[/tex]

Yasmin purchased 6 heads of cabbage that each weighed 2 and StartFraction 3 over 8 EndFraction pounds. How much did the cabbage weigh all together?

Answers

Answer: 4/10

Step-by-step explanation: easy

6/2=4  

8/2=4X10=40 .  

now...

40/4= 10

so its simply 4/10

Answer:

4.5 or 4 1/2

Step-by-step explanation:

6 times 2 and 3/8 equals 4 and a half, hope this helps

Solve each equation. Check 19. x(x - 32)=0​

Answers

Answer:

x is equal to thirty-two.

Step-by-step explanation:

x(x - 32) = 0

x² - 32x = 0

x - 32 = 0

x = 32

Angle A and angle B are complementary. If angle A measures 45 degrees, what does angle B measure?

Answers

a is 45 degrees and b is 45 degrees

A company sells bottles of vitamin capsules. The graph and table show the linear relationship between the cost per capsule in cents and the number of bottles ordered.
A. y= -5x – 70

B. y= 5x +70

C. y=-5x + 70

D. y= 70x - 5

Answers

Answer:

C

Step-by-step explanation:

Trust me and vote brainliest

Kareem cannot decide which of two washing machines to buy. The selling price of each is ​$440. The first is marked down by 30​%. The second is marked down by 20​% with an additional 10​% off. Find the sale price of each washing machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the second if the machines are the same except for the selling price.

Answers

Step-by-step explanation:

The selling price is $495.

The first washing machine:

- is marked down by 30​%

$495 - 100%

$x - 100% - 30% = 70%

Find the value of x:

x=$495*0.7=$346.50=$347

The second washing machine:

- is marked down by 20​% with an additional 10​% off

$495 - 100%

$y - 100% - 20% = 80%

Find y:

Y=$495*0.8=$396

Now,

$396 - 100%

$z - 100% - 10% = 90%

Find z:

Z=$396*0.9=$356.40=$356

the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.

Answer:

The sale price of the first washing machine is $308

The sale price of the second washing machine is $317

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