Chloe's college raises the cost of room and board per semester. This increase raises Chloe's opportunity cost of attending college

Answer: angle ITU = 145 degrees

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

Explanation:

Angle STU is the largest angle composed of the smaller angles STI and ITU.

In other words, the two smaller angles add up to the larger one.

(angle STI) + (angle ITU) = angle STU

( 20 ) + ( 12x+1 ) = 13x + 9

20+12x+1 = 13x+9

12x+21 = 13x+9

21-9 = 13x-12x

12 = x

x = 12

Using this x value, we find that,

angle ITU = 12x+1 = 12(12)+1 = 145 degrees

----------

As a side note,

angle STU = 13x+9 = 13(12)+9 = 165 degrees

This is confirmed with

(angle STI) + (angle ITU) = (20) + (145) = 165 = angle STU

Answer:

she must sell 31 aprons

The number of aprons Joni must she sell next month if she wants to earn at least $1,000 is 31.

In order to determine the number of aprons that Joni should sell in order to make at least $1000 next month, we would dived the total amount Joni hopes to make by the unit cost of an apron.

Number of aprons to sell = Amount Joni hopes to earn / unit cost of an apron.

$1000 / $32.50 = 30.77

Rounding off to the nearest whole number, the number of aprons that Joni should sell is 31.

A similar question was answered here: https://brainly.com/question/24462459

Answer: x=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(−2x−4)−2x+2=−42

(5)(−2x)+(5)(−4)+−2x+2=−42(Distribute)

−10x+−20+−2x+2=−42

(−10x+−2x)+(−20+2)=−42(Combine Like Terms)

−12x+−18=−42

−12x−18=−42

Step 2: Add 18 to both sides.

−12x−18+18=−42+18

−12x=−24

Step 3: Divide both sides by -12.

-12x/-12=-24/-12

x=2

Answer:

×=2

Step-by-step explanation:

distribution of the 5 and the -425 than bring all the "x" to one side than divide by the number next to the x on both sides

No, the piecewise graph is NOT a function because it does NOT pass the vertical line test.

The vertical line test is where we try to pass a line through more than one point on the curve. If it is not possible to do this, then the graph is said to "pass the vertical line test".

In this case, the given graph fails the vertical line test. Look at something like x = -2. We can draw a vertical line through here to pass through more than one point. One point is on the upside-down V shape, and the other point is on the parabolic shape. Plugging x = -2 into this leads to more than one y outputs.

A function is only possible if any valid x input (from the domain) leads to exactly one output y value (in the range).

Answer:a) it will cost him $4.13 rounded

B)about 36

C)$ 0.19 (rounded) per potato

The Peters will cost to buy 22 potatoes is$4.13 , Fernando can buy 37 potatoes for $7 and the unit cost per potato is  $0.1875.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that

8 potatoes cost $1.50

8 potatoes ⇔ $1.50

1 potato ⇔ $(1.50/8)

a) →

22 potatoes will cost 22 ×  $(1.50/8) = $4.13

b) →

8 potatoes ⇔ $1.50

$1 ⇔ 5.33 photos

By multiply 7

$7 ⇔ 37.33

Si Fernando can buy 37 potatoes.

c) →

1 potato ⇔ $(1.50/8)

1 potato ⇔ $0.1875

Hence "The Peters will cost to buy 22 potatoes is $4.13, Fernando can buy 37 potatoes for $7 and the unit cost per potato is  $0.1875".

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Answer:

yes

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Step 1: Distribute 1st equation

3x + 3x + 3y

Step 2: Combine like terms

6x + 3y

Step 3: Distribute 2nd equation

3x + 3x + 3y

Step 4: Combine like terms

6x + 3y

We see here that 6x + 3y = 6x + 3y. Therefore, they are equivalent.

Answer:

16716p

Step-by-step explanation:

28 x 150 x ( 5 x 8 ) - 30

Answer:

tax = 5.12

Step-by-step explanation:

given:

tax rate = 8.25 = 8.25/100 = .0825

meal cost = $62

find:

what is the amount of sales tax they had to pay

tax = $62 x 0.0825

tax = 5.12

Answer:

20+4=24=12=6=3

therefore the answer is three defect

Answer: x < -4

ervrdbtyunbyjthdrggvghbdxfgchvj

Answer:

x>-4

Step-by-step explanation:

-5-3x>2(10+2x) +3

-5-3x>20+4x+3

-5-3x>4x+23

-5>7x+23

-28>7x

-4>x

Answer:

981/100

Step-by-step explanation

step: 9.81= 9.81/1

step 2 multiply both too and bottom by 10

9.81/1 = (9.81*100)/(1*100)= 981/100

thus 981/100 is also equal to 9 81/100

Answer:

x=2

Step-by-step explanation:

subtract 3 from both sides

5-3=2

x=2

Answer:

x=2

Step-by-step explanation:

Move all terms not containing  

x

to the right side of the equation.

Answer:

6000

Step-by-step explanation:

If it is one hundredth than multiply by 100 to get 6000

Answer:

Atom-Molecule or compound

Step-by-step explanation:

I know the answer to this because I went to a NASA space camp And I learned about this.

Answer:

a

Step-by-step explanation:

a

Answer:

k = - 11, 5

Step-by-step explanation:

By distance formula:

[tex] \sqrt{ \{ {k - ( - 3) \}}^{2} + \{5 - ( - 1) \}^{2} } = 10 \\ \\ \sqrt{ {(k + 3)}^{2} + {(5 + 1)}^{2} } = 10 \\ \\ \sqrt{ {(k + 3)}^{2} + {(6)}^{2} } = 10 \\ \\ \sqrt{ {(k + 3)}^{2} + 36 } = 10 \\ \\ (k + 3)^{2} + 36 = {10}^{2} \\ ..(squaring \: both \: sides) \\ {k}^{2} + 6k + 9 + 36 = 100 \\ {k}^{2} + 6k + 45 - 100 = 0 \\ {k}^{2} + 6k - 55 = 0 \\ {k}^{2} + 11k - 5k - 55 = 0 \\ k(k + 11) - 5(k + 11) = 0 \\ (k + 11)(k - 5) = 0 \\ k + 11 = 0 \: or \: k - 5 = 0 \\ k = - 11 \: or \: k = 5 \\ \\ \huge \red { \boxed{k = \{ - 11, \: 5\}}}[/tex]

Answer: I think the coefficient is -x

Step-by-step explanation:

A coefficent is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or in other words, the number being multiplied with the variable. For example, the 4 in 4x.

The expression is -x-10. If we go back to the definition, the coefficient combined to the variable is -1.

A variable like the 'x' in this expression can also be written as 1x.

So the answer is -1.

Hope it helps!

Answer:

[tex]\frac{48}{49}[/tex]

Step-by-step explanation:

(3/7÷1/2) ÷ 7/8​

[tex](\frac{3}{7} : \frac{1}{2} ) : \frac{7}{8} \\\frac{6}{7} : \frac{7}{8} \\\frac{48}{49}[/tex]

Answer:

h = S - pie r ^2

Step-by-step explanation:

A on edge

The equation equivalent to : S = pi r squared h is -

           h = StartFraction uppercase S over pi r squared EndFunction

We have - S = pi r squared h

We have to find which equation is same as S = pi r squared h

The volume of a cylinder of radius [tex]r[/tex] and height [tex]h[/tex] is -

                                                            [tex]\pi r^{2}h[/tex]

which is same as -

                                                     pi r squared h

when written in word format.

Let Suppose -

                                                         [tex]S=\pi r^{2} h[/tex]

which can be written in terms of height [tex]h[/tex] as -

                                                          [tex]h=\frac{S}{\pi r^{2} }[/tex]

Now, if we write the above equation in word format, we get -

          h = StartFraction uppercase S over pi r squared EndFunction

Therefore, the equation equivalent to pi r squared h is -

         h = StartFraction uppercase S over pi r squared EndFunction

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Answer:

4

Step-by-step explanation:

If you have 2 lines inter secting you have 4 corners. All these corners are congruent(they are the same). This means if one is 90 they all are 90.

Answer:

[tex] - 7.375[/tex]

Step-by-step explanation:

43/4=10.75

21/8=2.625

6-10.75= -4.75

-4.75-2.625= -7.375

Answer:

HUUYY

Step-by-step explanation:

14D

Answer:

1 whole and 5/8 as a decimal is 1.625

Answer:

less than

Step-by-step explanation:

2 tens = 20

3 tenths = .3

1 thousandth = .001

put it together = 20.301

20.301 < 20.31

less than

Answer:

no

Step-by-step explanation:

its just set up different

Answer:

No

Step-by-step explanation:

Commutative property of addition

Answer:

1

Step-by-step explanation:

The number is

1 x 5 = 5

5 + 1 = 6

Answer:

The number is 1

Step-by-step explanation:

5x + 1 = 6

6 minus 1 = 5

1 minus 1 = 0

5x = 5

x = 1  

hopefully this helps you :)

pls mark me brainlest ;)

Answer:

[tex]8+24j[/tex]

Step-by-step explanation:

[tex]4(2+6j)[/tex]

Apply the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]

Thus,

[tex]4* \:2+4* \:6j[/tex]

[tex]8+24j[/tex]

Answer:

24j + 8

Step-by-step explanation:

multiply 2 and 6j with 4

Answer:

Pointillism

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

anything in parenthesis will be multiplied by the number on the outside only if it has no expression between that number and the parenthesis, therefore 2 will multiply X and 5