The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?

Question:

a. Graph the equation.

b. Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can you order.

Answer:

See attachment for graph

12 long-sleeved shirts

Step-by-step explanation:

Given

[tex]10x + 12y = 300[/tex]

Plotting the graph:

Set x = 0

[tex]10(0) + 12y = 300[/tex]

[tex]12y = 300[/tex]

[tex]y = 300/12[/tex] --- divide through by 12

[tex]y = 25[/tex]

Set x = 0

[tex]10x + 12(0) = 300[/tex]

[tex]10x = 300[/tex]

[tex]x = 300/10[/tex] --- divide through by 10

[tex]x = 30[/tex]

So, the graph will be plotted using: (0, 25) and (30, 0)

See attachment for graph

Determine y when x = 12

[tex]10x + 12y = 300[/tex]

[tex]10(12) + 12y = 300[/tex]

[tex]120 +12y = 300[/tex]

[tex]12y = 300 - 120[/tex] --- collect like terms

[tex]12y = 180[/tex]

[tex]y = 180/12[/tex] -- solve for y

[tex]y = 15[/tex]

Answer:

hi will u follow me?

in roblox username gameitrexplayzYT

Step-by-step explanation:

Answer:

Five angle relationships are;

1) Adjacent angles

2) Alternate exterior angles

3) Corresponding angles

4) Alternate interior angles

5) Vertically opposite angles

Step-by-step explanation:

1) Adjacent angles;

Adjacent angles are angles that lie side by side to each other and have no common interior points

2) Alternate exterior angles are angles located on the opposite location of a transversal that crosses two lines and both are on the external region of the lines that are crossed by a transversal

Alternate exterior angles are equal where the two lines crossed by the transversal are parallel

3) Corresponding angles are angles located on corresponding side of a two lines that are crossed by a transversal

4) Alternate interior angles, are angles located on the opposite location of a transversal that crosses two lines and both are on the internal region of the lines that are crossed by a transversal

5) Vertically opposite angles, are angles formed on the opposite sides where two lines cross. Vertically opposite angles are always equal.

Answer:

2 yards.

Step-by-step explanation:

If you do what was stated in the problem, you would be left at -2. So, you would need to move up 2 yards to get back to 0.

Answer:

He must move two yards to get back to zero.

Step-by-step explanation:

He started at 0.

Moved forward 5 on the number line which puts him at 5

Then he moved back 7 which puts him at -2 on the number line

So from -2 on the number line he has to move 2 spaces to the right to get back to 0.

Hope this helps!! And good luck!

Answer:

50

Step-by-step explanation:

ABCD is quadrilateral. Sum of all the angles in a quadrilateral is 360. This means angle ADC will be 130.

ADE is a straight line. Angle ADC and angle CDE should sum up to 180. From here we can infer that angle CDE=x is 50

Answer:

3.75 hours

Step-by-step explanation:

Let us represent the number of hours = x

The price of Stock A at 9 A.M. Was ​$13.63. Since​ then, the price has been increasing at the rate of ​$0.06 each hour.

$13.63 + $0.06× x

= 13.63 + 0.06x

At noon the price of Stock B was ​$14.38. It begins to decrease at the rate of ​$0.14 each hour.

$14.38 - $0.14 × x

14.38 - 0.14x

If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Stock A = Stock B

13.63 + 0.06x = 14.38 - 0.14x

Collect like terms

0.06x + 0.14x = 14.38 - 13.63

0.20x = 0.75

x = 0.75/0.20

x = 3.75 hours

The prices of the two stocks will be the​ same after 3.75 hours

Answer:

119.434783

Step-by-step explanation:

Long division.

Answer:

2/35

Step-by-step explanation:

1 over 7 is 1/7, of means times, and 2 over 5 is 2/5, so 1/7*2/5

Hope that this helps!

Answer:

One solution

Step-by-step explanation:

X is equal to -1 meaning you can only plug in -1 for this equation to be true and not any other number

Answer:

2.08 or 2

Step-by-step explanation:

26 = 12.5x

y=mx+b

it will approximately take  2 hours, but to be exact, 2.08

Answer:

Sutraction property of equality

Step-by-step explanation:

Answer:

<a=61 m<c and m<b=90

Step-by-step explanation:

Answer:

4n=8n-5

Step-by-step explanation:

Answer:

Let the number be x

As per statement, 7 less than 4 times a number equals 13

4x - 7 = 13

4x = 13 + 7

4x = 20

x = 20 / 4

x = 5

The number is 5

Answer the number is 5

Let us check the correctness of answer by following the statement viz 7 less than 4 times a number equals 13

4 × 5 - 7 = 13

20 - 7 = 13

13 = 13

Means answer is correct

Step-by-step explanation:

Answer: ≈20,400

Explanation:

Theoretically, you'd bring 509 up to 510 and 36 up to 40.

510 x 40= 20,400

Sorry if I'm wrong ^^

Answer:

[tex]8r + 6s = 100[/tex] --- (a)

[tex]s = -2[/tex] ---- (b)

Step-by-step explanation:

Given

Per ride (r) = $8

Per baseballs (s) = $6

Total = $100

Required

Represent using an equation

If 1 ride is $8.

r rides would be 8r

If 1 baseball is $6

s baseballs would be 6r.

So, total is:

[tex]8r + 6s = 100[/tex]

Solving (b):

Value of s when r = 14

[tex]8r + 6s = 100[/tex]

Substitute 14 for r

[tex]8 * 14 + 6s = 100[/tex]

[tex]112+ 6s = 100[/tex]

Solve for 6s

[tex]6s = 100 - 112[/tex]

[tex]6s = -12[/tex]

Solve for s

[tex]s = -12/6[/tex]

[tex]s = -2[/tex]

Answer:

1. $1400

2 329.4 shares

3. $350

4. 1.25

Step-by-step explanation:

1. if Tim does not buy DEF, how many can he spend on ABC?

From the attached image

100 shares for ABC = $425

100 shares for DEF $600 + $375 commission

Therefore, the amount he can spend on ABC without buying DEF = $600 + $375 + $425 = $1400

2: how many shares of ABC can he buy if he does not buy DEF?

$425 = 100 shares

$1400 =

Cross Multiply

= $1400 × 100 shares/ $425

= 329.41176471 shares

= 329.4 shares

3: if the selling price is $1,750, how much will Tim have earned by investing?

The cost of buying ABC = $1400

The Amount earned from investing = $1750 - $1400

= $350

4: what is the total return divided by the total cost In this example?

Total return = $1750

Total cost = $1400

= $1750/$1400

= 1.25

Answer:

2.00$ and 94¢is the tac

Tax rate = 7%

What Is a Tax Rate?

A tax rate is the percentage at which an individual or corporation is taxed. The United States (both the federal government and many of the states) uses a progressive tax rate system, in which the percentage of tax charged increases as the amount of the person's or entity's taxable income increases.

Given,

Hollister costs = $42

After tax Hollister costs = $44.94.

tax amount = 44.94.- 42 = 2.94

Tax rate = (After tax Hollister costs - Hollister costs)/Hollister costs

Tax rate = (44.94.- 42)/42

Tax rate = 2.94/42

Tax rate = 0.07

Tax rate = 7%

therefore, the tax rate for the sweater is 7%

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Answer:

(-1,0)

Step-by-step explanation:

Plug it into desmos graphing calculator exactly how it is.

Answer:

the answer would have to be -7

Answer

Mimi made a total of 16 kilometers

Step-by-step explanation:

Answer:

trigonometry: a^2+b^2=c^2

7= slant

4= half of base (8/2)

[tex] {7}^{2} + {4 }^{2} = \sqrt{65} [/tex]

[tex] \sqrt{65} = 8.06[/tex]

he is 6.5 so yeah he can fit

Answer:

25.252

Step-by-step explanation:

Answer:

BC ≈ 11.9 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin58° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{14}[/tex] ( multiply both sides by 14 )

14 × sin58° = BC , thus

BC ≈ 11.9 cm ( to 1 dec. place )

The length of the side BC of the triangle is 11.58 units.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the angle of the triangle is 58 and the hypotenuse is 14 cm.

The side BC will be calculated as,

14 × sin (58°) = BC

BC = 11.58 units

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Answer:

first option

Step-by-step explanation:

Multiplying a complex number by its conjugate gives a real number and thus removes imaginary numbers in the denominator.

If z = a + bi then its conjugate is a - bi and their product

(a + bi)(a - bi) → where a and b are real

= a² + b² ← a real number

Answer:

20 cm

Step-by-step explanation:

12^2 = 144

16 ^ 2 = 256

256+144 = 400

sqrt(400) = 20

hope this helps!

Answer:

The hypotenuse is 20 cm :)

Step-by-step explanation:

Using a^2 + b^2 = c^2

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

c = sqrt(400)

c = 20 cm

Answer:

lol i don’t have an answer but hey averi, i’m struggling too.

Step-by-step explanation:

Answer:

7x+11x=90

18x=90

x=5

one angle = 35 degrees

another angle = 55 degrees

Step-by-step explanation: