A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.

Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents.

Answer:

7:4

Step-by-step explanation:

11-7=4

7:4

The ratio of old books to the new books is new : old = 7 : 4.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, There are 11 books on a shelf, and 7 of these books are new.

So, The number of old books are (11 - 7) = 4.

So, In the self there is 7 new books and 4 old books.

Therefore the ratio of new books to old books,

new books : old books = 7 : 4.

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Answer:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

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[tex]slope = \frac{ - 2 - 3}{6 - 7} \\ [/tex]

[tex]slope = \frac{ - 5}{ - 1} \\ [/tex]

[tex]slope = 5[/tex]

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Answer:

[tex] - 2383[/tex]

Step-by-step explanation:

[tex]74 + ( - 91) \times 27 \\ 74 + (- 2457) \\ - 2383[/tex]

Answer: the answer would be 7

Step-by-step explanation:

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Step-by-step explanation: 5.6+3.7=8.13-13=0

6x-21=105

+21. +21

6x=126

×=21

21y=75

Divide 21 from 75

Y= 3.6

Answer: look it up lol

Step-by-step explanation:

Answer:

25 times

Step-by-step explanation:

If the magazine(we are assuming it's a magazine as we are not told) publishes 5 out of 12 issues of a photo of main dish each year then out of every 12 issues each year it only publishes 5 photos of main dish

The proportion is therefore 5/12

In five years there will be 12*5=60 issues of a photo of a main dish and 5*5=25 published photos of a main dish.

Therefore a photo of a main dish will be on the cover 25 times out of 60 issues in five years

To check if we are correct, we check the proportion to see if it still evaluates to 5/12

25/60= 5/12 when reduced to lowest terms

Answer:

46???

Step-by-step explanation:

apples: 10

bananas: 6

oranges: 6

soo im guessing 10 + 6 x 6 = 46?????

There are 900000000 nine-digits numbers and exactly half of them have an even sum of digits (because every number can be paired with another of the opposite parity by changing the last digit).

Answer:  200,000,000.

we have 9 spaces we need to fill in

There are 10 total numbers(0–9)

There are 5 even numbers(0,2,4,6,8)

fill from left to right

u cannot start with 0 so pick another number 2,4,6,8 any of those

4*10^7*5= 20*10^7 = 2*10^8

200,000,000.

Answer:

Y=76⁰

X=104⁰

Z=104⁰

Step-by-step explanation:

Y is equal to 76 bcz directly opposite angles are equal

x=180-76 which is 104⁰ bcz angles on a straight line add up to 180⁰

Answer:

Step-by-step explanation:

330 = 21x + 75

The price of a ticket for the trip $x is 12.14 dollars.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the cost of the trip is $330 and the club has already saved $75. the price of a ticket for the trip is $x and 21 people are going on the trip.

Therefore,

The cost of the trip = is $330

The club has already saved = $75.

the price of a ticket for the trip = $x

Thus, the equation becomes as;

330 = 21x + 75

Solving;

21x = 330 - 75

21x = 255

x = 12.14

Hence, the price of a ticket for the trip $x is 12.14 dollars.

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9514 1404 393

Answer:

  yes

Step-by-step explanation:

A triangle is acute if its largest angle is acute.

A triangle is obtuse if its largest angle is obtuse.

A triangle cannot be both acute and obtuse, so, yes, the statements contradict each other.

Answer:

Step-by-step explanation:

Yes they do contradict

Acute means less than 90 while obtuse means more than 90.

Both can't exist for the same triangle at the same time.

Answer:

3^16

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

this is because you take 13 and minus it by -8 like this:

13--8=x(21)

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Answer:

Predecessor: 9851

Successor: 9853

Step-by-step explanation:

The predecessor of a number is 1 less than it.

The successor of a number is 1 more than it.

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Answer:

which one of these is a valid for balance

Answer:

The slope is -4

-4/1=-4

Hope this helped

Answer:

-4

Step-by-step explanation:

To find slope, subtract the y's and x's in the same order. We put y's on the top and x's on the bottom. The points are (-3, -4) and (-2, -8).

The y's are -4 and -8. The x's are -3 and -2.

-4-(-8)=4

-3-(-2)  -1

The slope is -4.

Hope this helps you...have a great day (～￣▽￣)～

Answer:

ok

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factor f(x)=x^3+2x^2-x-2. f(x)=x3+2x2−x−2 f ( x ) = x 3 + 2 x 2 - x - 2.

Answer: 4x+8=12

Step-by-step explanation: there is the 1st one im going to try and o the second one oh im a 7th grader

Answer: A. (5)(5x+2y)

Step-by-step explanation:

Answer:

4-x

Step-by-step explanation:

since x is a number given and it should be subtracted from 4.

Answer:

C and D

Step-by-step explanation:

When you divide exponents with the same base, you just subtract the exponents.

3^4 / 3^9

4-9 = -5

3^-5

That can be rewritten into 1/3^5 and 1/243.

Answer:

Explain how the Quotient of Powers was used to simplify this expression. (2 points) 25 = 22 By finding the quotient of the bases to be 1 4 and cancelling common factors F O

Step-by-step explanation:

By finding the quotient of the bases to be 1 4 and simplifying the expression O By simplifying 8 to 23 to make both powers base two, and subtracting the exponents O By simplifying 8 to 23 to make both powers base two, and adding the exponents 3.(MC)​

9514 1404 393

Answer:

  22%

Step-by-step explanation:

If Denver gets 2/19 of the food, then Engle and Fido share the remaining 17/19 of the food.

If Engle and Fido share their food in the ratio of 6:2, then Fido's share is 2/(6+2) = 2/8 = 1/4 of the portion they have.

Fido's share of all the food is then (1/4)(17/19) = 17/76.

As a percentage of the whole, that is ...

  17/76 × 100% ≈ 22%

Answer:

2

Step-by-step explanation:

The coefficient is the number attached to the variable. In this instance, it is two.

Answer:

A coefficent is: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression...(e.x. 4 in 4x).

Step-by-step explanation:

Given:

The line passes through (-3,-6) and (2,-2).

To find:

The equation of line.

Solution:

If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through (-3,-6) and (2,-2). So, the equation of line is

[tex]y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))[/tex]

[tex]y+6=\dfrac{-2+6}{2+3}(x+3)[/tex]

[tex]y+6=\dfrac{4}{5}(x+3)[/tex]

[tex]y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)[/tex]

Subtract 6 from both sides.

[tex]y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6[/tex]

[tex]y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}[/tex]

[tex]y=\dfrac{4}{5}(x)+\dfrac{-18}{5}[/tex]

[tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex]

Therefore, the equation of line is [tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex].