Bob’s monthly phone bill is made up of a $10 fee plus $0.05 per minute. Bob’s phone bill for July was $22. Write an equation to model the situation using m to represent the number of minutes. Solve the equation to determine the number of phone minutes Bob used in July.

9514 1404 393

Answer:

  x = 11

Step-by-step explanation:

The diagonal creates two isosceles right triangles, so ...

  m∠CBD = 45°

  3x +12 = 45

  3x = 33 . . . . . . subtract 12

  x = 11 . . . . . . . . divide by 3

Answer:

A.

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

first remove the parentheses

5-4-7+2

then calculate the sum or difference

-4

Answer:

y intercept: (0,-5)

Step-by-step explanation:

Answer:

2 and x are the factors of 2

Step-by-step explanation:

Answer:

[tex]y^{\frac{2}{5}}[/tex]

Step-by-step explanation:

[tex]2 - \frac{4}{5} = \frac{2*5}{1*5}-\frac{4}{5}\\\\ = \frac{10}{5}-\frac{4}{5}\\\\= \frac{6}{5}[/tex]

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\[/tex]

[tex]\sqrt[3]{\frac{y^{2}}{y^{\frac{4}{5}}}} =\sqrt[3]{y^({2-\frac{4}{5})}} \\\\=\sqrt[3]{y^{\frac{6}{5}}}\\\\=(y^{\frac{6}{5}})^{\frac{1}{3}} \\\\=y^{\frac{6}{5}*\frac{1}{3}}\\\\= y^{\frac{2}{5}}[/tex]

Answer:

13

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} } \\d=\sqrt{(-9--4)^{2} +(6--6)^{2} } \\d=\sqrt{25 +144}\\d=\sqrt{169}\\d=13[/tex]

Answer:

Diego is correct, he should move back one space.

Step-by-step explanation:

If every 5th customer gets a free bagel then you should be able to count up by 5s to figure out which people get the bagel. (5, 10, 15, etc.)

It would be the same for 9 and 12 (9, 18, 27, etc.) (12, 24, 36, etc.).

However, 23 is not divisible by 5, 9, or 12 (I moved on to division because it's the fast way to check)

But if you look at the multiples of 12 then you'll see that the 24th person would get a prize.

So, Diego should go back one space in order to get a prize because 23 is not  a multiple of 5, 9, or 12. However, 24 is a multiple of 12.

Hope this helps and makes sense.  

Answer:

y + 2x - 3 = 0

Step-by-step explanation:

You should learn the topic.

Answer:

2x+y-3=0

Step-by-step explanation:

The standard form is a representation of equations that start from the variable term towards the constant term, generally leaving the RHS empty.

Here,

[tex]y=-2x+3\\y+2x=3\\y+2x-3=0\\2x+y-3=0[/tex]

Answer:

One way that a cell maintains homeostasis is by controlling the movement of substances across the cell membrane. Cells are suspended in a fluid environment.

Answer:

The distance of QR is 54 units

Step-by-step explanation:

In the isosceles triangle, The height drawn from the vertex angle to the base bisects the base

In ΔPQR

∵ PQ = PR

∴ Δ PQR is an isosceles triangle

∵ P is the vertex angle

∵ QR is the base

∵ PS ⊥ QR

→ By using the fact above

∴ PS bisects QR

∴ S is the midpoint of QR

→ That means S divided QR into 2 equal parts QS and SR

∵ QS = SR

∵ QS = 6n + 3

∵ SR = 4n + 11

→ Equate them to find n

∴ 6n + 3 = 4n + 11

→ Subtract 4 n from both sides

∵ 6n - 4n + 3 = 4n - 4n + 11

∴ 2n + 3 = 11

→ Subtract 3 from both sides

∵ 2n + 3 - 3 = 11 - 3

∴ 2n = 8

→ Divide both sides by 2

∴ n = 4

→ Find the length of QS by substitute x in its expression by 4

∵ QS = 6(4) + 3 = 24 + 3

∴ QS = 27

∵ QS = SR

∴ SR = 27

∵ QR = QS + SR

∴ QR = 27 + 27

∴ QR = 54 units

∴ The distance of QR is 54 units

Answer:

Angle C = 41°

Step-by-step explanation:

Given:

Angle C = (3x + 11) degree

Angle T = (3x + 11) degree

Angle A = (9x + 8) degree

Find:

Angle C

Computation:

Using angle sum property

(3x + 11) + (3x + 11) + (9x + 8) = 180

15x + 30 = 180

x = 10

So,

Angle C = (3x + 11) degree

Angle C = 3(10) + 11

Angle C = 41°

Answer:

7 dollars

Step-by-step explanation:

Answer:

M=10

N=5

Q=2

Step-by-step explanation:

if you look at the equation it says

M+M+M=30

Since there's 3 M's you can combine it and make it into 3M=30.

you could then divide 30 by 3 in order to get M by itself and you would get M=10.

Hope this helped :)

Answer:

.

Step-by-step explanation:

Answer:

[tex]t=\frac{x}{7}[/tex]

Step-by-step explanation:

You need to isolate the variable t. Use inverse operations for this.

7t can be seen as 7×t, and the opposite of multiplication is division. Divide both sides by 7:

[tex]\frac{7t}{7}=\frac{x}{7}\\\\t=\frac{x}{7}[/tex]

The common term 7 on the left side cancels out.

:Done

Answer:

62.50 or 0.625

Step-by-step explanation:

The decimal form of  [tex]62\frac{1}{2}[/tex] percent is 0.625.

The given percentage is [tex]62\frac{1}{2}[/tex] %

This fraction is in a mixed fraction.

Convert it into an improper fraction

So,

[tex]62\frac{1}{2}[/tex] %  = (62x2 + 1)/2

           = (124+1)/2

           = 125/2 %

Now divide 125 by 2 to get the decimal form

2) 125 ( 62.5

-  12

 _____

     x 5

  -     4

______________

          1  0

 -        1   0

 _________

            x

Therefore,

 [tex]62\frac{1}{2}[/tex] %  =  62.5 %

We can write,

62.5 % = 62.5/100

           = 0.625

Hence the required decimal form is 0.625.

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Answer:

slope = 3/2

Step-by-step explanation:

(y2-y1)/(x2-x1)

= (6-3)/(9-7)

= 3/2

Hope this helps!       :3

plz mark as brainliest!

Answer:

The rope is 94.65 feet.

Step-by-step explanation:

Answer:

The radius of the clock is 7.72 meters

Step-by-step explanation:

Here, we want to calculate the radius of a clock which has a circumference of 48.5 m

Mathematically;

Circumference C = 2 * pi * r

48.5 = 2 * 22/7 * r

7 * 48.5 = 44r

r = (7 * 48.5)/44

r = 7.72 meters

Answer:

- 2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 2, - 1 ] , then

f(b) = (f(- 1) = 5 ← corresponding value of y (- 1, 5 )

f(a) = f(- 2) = 7 ← corresponding value of y (- 2, 7 ) , thus

average rate of change = [tex]\frac{5-7}{-1-(-2)}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

Answer: The answer (4,3) or x=4 and y=3

The coordinates of C'D'E' after dilation with the scale factor are; C'(3, 1), D'(-9, -7), E'(7, -7)

We are given the vertices of Triangle CDE as;

C(-2,-2), D(1,-4), and E(-3,-4).

Now when we dilate an object by a scale factor of 4, it means we multiply each coordinate by 4 if it is about the origin.

However, we are told that it is centered about the point (-1.-3).

Thus;

Point C is 1 unit vertically above point (-1.-3) and as such C' will be (1 * 4) = 4 units above the center point.

Point C is 1 unit horizontally to the right of point (-1.-3) and as such C' will be (1 * 4) = 4 units to the right of the center point. Thus, C' is (3, 1)

Point D is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the left of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (-9, -7)

Point E is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the right of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (7, -7)

B) Reflection in the line y = -x gives;

C'(2, -2), D(-1, 4), and E(3, 4)

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Answer: f(x) = -cos(x) + 4.584

Step-by-step explanation:

we know that f'(x) = sin(x)

if we integrate that, we get:

f(x) = -cos(x) + C

Where C is a constant of integration.

And we also want that:

f(2) = 5

with that relationship we can find the value of C.

f(2) = 5 =  -cos(2) + C

(The calculation is done in radians)

        5 = -(-0.416) + C

       5 - 0.416 = C = 4.584

Then the function is:

f(x) = -cos(x) + 4.584