At Health Hair, the cost of a children's haircut, x, is $4 and the cost of an adult haircut, y, is $14. The sales from Friday were $568. There were 42 haircuts in all.

Write a system to represent the situation and solve the system and interpret the answer.

Answers

Answer 1

Answer:

x + y = 42

4x + 14y = 568

x = 2, y = 40

Step-by-step explanation:

x + y = 42

4x + 14y = 568

to solve, you can let 'x' = 42-y and substitute this expression for 'x' in the second equation to get:

4(42-y) + 14y = 568

168 - 4y + 14y = 568

168 + 10y = 568

10y = 400

y = 40

therefore, x = 2

check:

4(2) + 14(40) should equal 568

8 + 560 = 568


Related Questions

If 18.2 is 100% then what is 1.7

Answers

Answer:

9.34%

Step-by-step explanation:

Use ratios:

18.2 ⇒ 100%1.7 ⇒ x

Find x by cross multiplication:

x = (1.7/18.2)*100%x = 9.34%

Solve for x.

0.4x = 2.8

Enter your answer in the box.

x =

Answers

Answer:   x=7

Step-by-step explanation:

The value of x is 7.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

given:

0.4x = 2.8

Now, solving for x

Dividing both side by 0.4 we get

0.4x/ 0.4 = 2.8 / 0.4

x = 28/4

x= 7

Hence, the value of x is 7.

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I need help with the graph part please.

Answers

Answer:

sell 48 tickets at the door.

Step-by-step explanation:

5x+4(40)≥400

1. Distribution; 5x+160≥400

2. Subtract 160 from both sides; 5x+160-160≥400-160

3. you are left with; 5x≥240

4. divide 5 from both sides; 5x/5≥240/5

5. you are left with; x ≥ 48

Meaning; they need to sell 48 or more tickets at the door to reach their goal of $400.

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Credit to  sparklyypillss

How do you isolate the variable in an inequality?
H
A
Use inverse operations.
00
B
Reverse the inequality sign.
C
Follow the order of operations.
D
Change the inequality sign to an equal sign.

Answers

A use inverse operations

Answer:

A,

use inverse operations

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting
50 large boxes and 70 small boxes. If the truck is carrying a total of 4100 pounds in boxes, how much does each type of box weigh?

Answers

Answers:

one small box = 30 pounds

one large box = 40 pounds

==========================================================

Work Shown:

S = weight of one small boxL = weight of one large box

S+L = 70 since the two boxes combine to 70 pounds.

70S = weight of 70 small boxes

50L = weight of 50 large boxes

70S+50L = weight of 70 small and 50 large

70S+50L = 4100

The system of equations is

[tex]\begin{cases}S+L = 70\\70S+50L = 4100\end{cases}[/tex]

There are a few ways to solve this system. I'll use substitution.

I'm going to isolate L in the first equation like so

S+L = 70

L = 70-S

Which I'll then plug into the other equation to solve for S

70S+50L = 4100

70S+50(70-S) = 4100

70S+3500-50S = 4100

20S+3500 = 4100

20S = 4100-3500

20S = 600

S = 600/20

S = 30

Each small box is 30 pounds.

Use this value of S to find L

L = 70-S

L = 70-30

L = 40

Each large box is 40 pounds.

Like we expect, each large box weighs more compared to any given small box.

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

Check:

S+L = 30+40 = 70 verifies the first equation70S+50L = 70*30+50*40 = 4100 verifies the second equation

Both equations are true for the ordered pair (S,L) = (30,40). Therefore, the answers have been confirmed.

x/-7 = -3 (equation)​

Answers

Answer:

x=21

Step-by-step explanation:

x/-7=3

[tex]\frac{x}{-7}[/tex](-7) = -3(-7)

x=21

Answer:

21

Step-by-step explanation:

x/-7 = -3

x = -3 . -7

x = 21

HELP PLEASE IM BEING TIMED:
what is the value of the 5 be if it moved one place to the right in 256.12?
HELP D:

Answers

Answer:

well instead of being the value of 50 it would be the value of 5.

Step-by-step explanation:

It's being moved to the ones place

Answer:

it would be 5, if it moves to the right it takes the place of the 6

154= -4(8 + 6x) + 24x

Answers

154=-32-24x+24
154+32-24=-24x
162=-24x
162/-24=-24x/-24
X=-6.75

An article bought for $125 was sold for $175. The percentage profit was

Answers

Answer:

Step-by-step explanation:

28.57% profit.

You're welcome.

<3

Answer:

Step-by-step explanation:

28.57%

round off to

28.6%

explain why 4/9-d^2/25=0 has no real solutions

Answers

Answer:

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation.

Step-by-step explanation:

plz help answer question

Answers

Answer:

the awnser is 14

Step-by-step explanation:

Which of the following coordinate pairs make the equation x-9y=12 false?

Answers

The answer is (0,12)

Hurry I WILL BE MARKING BRAINLIST FOR HELP ASAP

Answers

B and c have the same rate of change.
The rate of change (slope) is mi/hr. In A its 25 mi/hr. In B, it’s 20mi/hr. In c, it’s 20mi/hr. Good luck!

Answer:

c and b should be it

Step-by-step explanation:

if the null hypothesis is rejected at a 1% significance level, then _____________.

Answers

Answer:

If the null hypothesis is rejected at a 1% significance level, then Multiple Choice the alternative hypothesis will be rejected at a 5% significance level

Step-by-step explanation:

The null hypothesis will not be rejected at a 5% significance level the alternative hypothesis will not be rejected at a 5% significance level O the null hypothesis will be rejected at a 5% significance level

if f(x)=2x-3 find f(7)

Answers

Answer:

f(7) = 11

Step-by-step explanation:

Given the linear function, f(x) = 2x - 3:  

In order to find the value of f(7), simply substitute the value of the input, x = 7 into the function:

f(x) = 2x - 3

f(7) = 2(7) - 3

f(7) = 14 - 3

f(7) = 11

Therefore, the value of f(x) when x = 7 is:

f(7) = 11.

angle A=6x-35^ angle B=3x+53^ B Solve for and then find the measure of angle A :

Answers

Answer:

22

Step-by-step explanation:

What is the answer to -3+10

Answers

Answer:

+7 is the answer for this

Answer:

-3+10=7

opposite of addition is subtraction

so just do 10-3=7

(communative property used)

hopes this helps :D

Step-by-step explanation:

10. Write an equation of the line with a slope of -1
that passes through the point (3,-1).
How do I solve this?

Answers

Answer:

y  =  −  x

 

The equation is given by

y  =  m  x  +  n  since  m  =  −  1  we get  y  =  −  x  +  n

the line passes Point  P  (  0  ;  0  )  so we get  n  =  0

Step-by-step explanation:

find the value of X in the triangle shown below

Answers

Answer:

102

Step-by-step explanation

39'+39'=78'

180-78=102

fatima claims that the distribution of u is uniform with a median of 0.4 field goal percentage. is fatima’s claim supported by the table?

Answers

Fatima's claim is not supported by the table because, the distribution is skewed right, with a median of 0.4 field goal advantage.

From the table, the median position is calculated as:

[tex]\mathbf{Median = \frac{1}{5} th}[/tex]

[tex]\mathbf{Median = 0.2\ nd }[/tex]

The 0.2nd data falls in the 0.4 field goal category.

So, the median element is:

[tex]\mathbf{Median = 0.4}[/tex]

However, the distribution of the table are concentrated on the left.

This means that, the distribution is not uniform, instead it is skewed right.

A uniform distribution has a skewness of 0.

Hence, Fatima's claim is not supported by the table

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In the given figure, m ǁ n, then the value of y is:
(a) 70°
(b) 35°
(c) 60°
(d) 40°

Answers

Answer:

(b) 35°

Step-by-step explanation:

x + 60° = 180° ( interior angles )

[tex]x + {60}^{o} = {180}^{o} \\ x = {180}^{o} - {60}^{o} \\ x = {120}^{o} \\ [/tex]

x = z ( opposite angles )

z = 120°

y + 25° + 120° = 180°

(The sum of all interior angles of any triangle is equal to 180°)

[tex]y + {25}^{o} + {120}^{o} = {180}^{o} \\ y + {145}^{o} = {180}^{o} \\ y = {180}^{o} - {145}^{o} \\ y = {35}^{o} \\ [/tex]

The value of y in the given figure is (b) 35°

Since m||n, hence:

a + 60 = 180 (sum of consecutive interior angles formed by two parallel lines are supplementary)

a + 60 = 180

a = 120°

a = b (vertical opposite angles are congruent to each other)

120 = b

b = 120°

y + 25 + b = 180 (sum of angles in a triangle)

y + 25 + 120 = 180

y + 145 = 180

y = 35°

Hence the value of y is (b) 35°

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i forgot perimeter and area send help please​

Answers

Answer:

Area refers to the space occupied by a shape or an object or a surface. Perimeter refers to the measure of the length of the outline or boundary of a shape, an object or a surface. Area is measured in square units.

Answer:

Perimeter :the continuous line forming the boundary of a closed geometrical figure.

Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane

How many terms are in the expression 6w- 3x+9y- 8z+ 12​

Answers

Answer:

5

Step-by-step explanation:

Definition of term:

        A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.

                 6w- 3x+9y- 8z+ 12​

                                   \/

6w          - 3x        +9y          - 8z          + 12​

                         Hope this helps, have a nice day! :D

PLEASEE HELP!!!!!!!!!

Answers

Answer:

Most likely  but I would say A.

Step-by-step explanation:

Because the the student is moving 1 kilometer every 3 minutes. As he is running his distance to the finish line is decreasing so we can -1/3 x. The entire race is 5 kilometers so it would be + 5 at the end of the equation. There for the answer would be A.

One angle of an isosceles triangle measures 140°. Which other angles could be in that isosceles triangle? 80° 20° 50° 40° plzzzzzzzzz help me

Answers

Answer:

20°

Step-by-step explanation:

If it's an isosceles triangle, the two remaining angles should be equal. (Angles opposite to equal sides are equal)

∴ one remaining angle = (180° - 140°)/2

                                      = 40° / 2

                                      = 20°

The student population of a school
consists of 300 girls and 500 boys. If 53% of the girls play a sport, and
39% of the boys play a sport, who plays more sports?

Answers

Answer:

The boys play more sports.

Step-by-step explanation:

convert percents to decimals (division of 100)

0.53 x 300 = 159 girls

0.39 x 500 = 195 boys

What is the equation on the graphed line (2,6) (-4,-6) answer in slope intercept form

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

→ Find the gradient

[tex]\frac{-6-6}{-4-2} =\frac{-12}{-6} =2[/tex]

→ Rewrite into y = mx + c format

y = 2x + c

→ Substitute in a coordinate pair

6 = 4 + c ∴ c = 2

→ Rewrite into y = mx + c format

y = 2x + 2

Jason has a starting salary of 9.25 per hour .Jason’s manager informs him that if he meets his self quota each month he can expect annual pay rate increase of 0.90 write an equation representing the relationship between the years on the job y and pay per hour p

Answers

Answer:

Assuming the "pay increase" is $/hr: p = 9.25 + 0.90y

Step-by-step explanation:

p = 9.25 + 0.90y : The 9.25 is for year (y)=0[the starting hourly wage]. 0.90 is added each year, starting with y=1. Each addirtional year add one more 0.90 to his starting wage.

a line passes through the point (-6,6) and has a slope of 4/3. write an equation in point-slope form for this line.

Answers

Answer: m=4x+3-6

Step-by-step explanation: This is most likely wrong but it's the best I have, hope it helps!

Hello there! :)

Point-Slope Form:

y-y1=m(x-x1)

y1=6

x1=-6

m=4/3

Plug in the values:

y-6=4/3(x-(-6)

y-6=4/3(x+6)

Therefore, our final answer is: [tex]y-6=\frac{4}{3}(x+6)[/tex]

Hope this helps you!

~Just a felicitous girlie

#HaveAnAwesomeDay

[tex]SilentNature[/tex] here to help

ran3/5 mile in 3/4 hour how many miles in one hour

Answers

Answer is: you tell me

Step-by-step explanation: haaaaaaaaaaaaaaaaa

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