A rental company charges $40 a day and 30 cents a mile for renting a truck. Michael rents a truck for 5 days, and his bill comes to $314. How many miles did he drive?

Answer:

Solution of the system will be (-3, 6).

Step-by-step explanation:

If a system of linear equations have been given in the question then we can find the solution of the linear equations by solving these equation algebraically.

But when a graph of the system of equation have been given solution of the system is the point of intersections Or common points lying on both the lines.

From the given graph,

Coordinates of the common point of both the lines is (-3, 6).

Therefore, solution of the system will be (-3, 6).

Answer:  (-3, 6)

Step-by-step explanation:

you can see where the lines met

DVD cost , $11 .

Shipping and handling fees , $6.95 .

Total money charged , $50.95 .

Let , total money is T .

So,  

[tex]11x+6.95=T[/tex] ( Here x is number of DVD )

[tex]11x+6.95=50.95\\\\11x=44\\\\x=4[/tex]

Therefore , total number of DVD purchased is 4 .

Hence , this is the required solution .

Answer:

3

because 15 + 9 = 24

and 3(5 + 3) which is 3 * 5 + 3 * 3 = 15 + 9 = 24

= 24 = 24

Step-by-step explanation:

Please mark me as the brainliest

Angle A = 68 degrees

Angle B = 22 degrees

Side AB = 2.9 cm

The three values are approximate

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

Explanation:

a = BC = 2.7 and b = AC = 1.1 are the two legs of the right triangle.

Use the pythagorean theorem to find the length of the hypotenuse

a^2 + b^2 = c^2

2.7^2 + 1.1^2 = c^2

8.5 = c^2

c^2 = 8.5

c = sqrt(8.5)

c = 2.91547594742266

c = 2.9

The hypotenuse is c = AB = 2.9

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

We then use trig ratios to find the two missing angles.

Let's say we ignore the hypotenuse and focus on the two legs of the triangle.

With respect to reference angle A, side BC is opposite and AC is adjacent

Use the tangent ratio to get

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = 2.7/1.1

tan(A) = 2.45454545454546

A = arctan(2.45454545454546)

A = 67.8336541779176

A = 68

Note: arctan is the same as inverse tangent or [tex]\tan^{-1}[/tex]. Make sure your calculator is in degree mode.

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

Similarly,

tan(angle) = opposite/adjacent

tan(B) = AC/BC

tan(B) = 1.1/2.7

tan(B) = 0.4074074074074

B = arctan(0.4074074074074)

B = 22.166345822082

B = 22

Or you could use the value of A to get B = 90-A = 90-68 = 22. This works because A+B = 90 as we're working with a right triangle. In other words, A and B are complementary angles.

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

In summary we found

A = 68

B = 22

AB = 2.9

Answer:  78

Step-by-step explanation:

x² + 12 = 6096

       x² = 6084

    [tex]\sqrt{x^2}=\sqrt{6084}[/tex]

        x = 78

Answer:

It is irrational

Step-by-step explanation:

7.525225222....... is non terminating non reoccurring

Therefore it is irrational

Answer:

[See Below]

Step-by-step explanation:

✦ First you need to know the area of a triangle:

  ✧ ½ x b x h

✦ Now write you formula out:

  ✧ ½ x 5 x 4

✦ Now just solve:

  ✧ 5 x 4 = 20

  ✧ 20 / ½ = 10

So it'd be 10 m²

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

Step-by-step explanation:

(3 + x)/2 = 6

3 + x = 12

x = 9

(2 + y)/2 = -2

2 + y = -4

y = -6

(9, -6) the other endpoint C

Answer:

w= 1.2

Step-by-step explanation:

Answer:uuuu idk

Step-by-step explanation:

Answer:

B or the second answer

Step-by-step explanation:

If you change the denominator for all 4 fractions, then you will get that denominator. After that you will multiply how you got that denominator from the beggining denominator. And that’s how i did it.

Answer:

27

Step-by-step explanation:

This isn't one of your answer choices though.

Answer:

4

Step-by-step explanation:

10=z+6 <subtract six to each side

4=z

Answer:

4

Step-by-step explanation:

well you got 10 = Z+6 right.. so subract 6 from 10 what do you get, you get 4 so that is th reason Z is 4

Hope I answered ur question

Ryan = 28 years

Tara = 30 years

Ryan is over 28 years old.

T = R + 2

T + R = 58

Replace T

(R + 2) + R = 58

2R = 56

R = 56 : 2

R = 28 years

T = 30 years

Answer:

C) 2

Step-by-step explanation:

I don't have an explanation, I just guessed.

Answer:

(C) 2

Step-by-step explanation:

We will need to make a Given, Statement, and Reason table to solve this problem.

Given:                Statement:             Reason:

AC=CB               AC=2MC                Part Whole Postulate

AM=CM              AC=2x4=8              Substitution and Algebra

CM=4                  AB=2AC                 Part Whole Postulate

AN=14                 AB=2x8=16             Substitution and Algebra

Find:                   AB-AN=NB             Part Whole Postulate

NB                       16-14=2                   Substitution and Algebra

NB=2

Hope this helps! :)

Answer:

t = 30m+50

Step-by-step explanation:

Answer:

T = 30m + 50

Step-by-step explanation:

infinite sequences of arithmetic expressions can have a value of 4

Step-by-step explanation:

infinite sequences of arithmetic expressions can have a value of 4

Answer: C

Step-by-step explanation: I am a big brain pro.

Answer:

Domain: -5. -4, -2, 0, 1

Range: 4, -1, 1, 3

Answer:

8

Step-by-step explanation:

find the value of x.

x+7+9=3x-6

x+16=3x-6

10=2x

x=5

plug into the equation for ST.

x+3

5+3 = 8

Answer:

the opposite of a negative number is positive.

Step-by-step explanation:

Negative numbers are numbers that are less than 0. The opposite of a positive number is negative, and the opposite of a negative number is positive. Since the opposite of 0 is 0 (which is neither positive nor negative), then 0 = 0.

Answer:

4.7 * 10 ^9

Step-by-step explanation:

4,700,000,000

Scientific notation is of the form

a * 10 ^b  where a is a number between 1 and less than 10

Move the decimal so that it is a number between 1 and less than 10

4,700,000,000  becomes 4.700000000  and we moved the decimal 9 places to the left  b is +9  ( positive because we moved to the left)  We can drop the extraneous zeros

4.7 * 10 ^9

Answer:

X=3

Step-by-step explanation:

10x+2= 32

10x=32-2

10x=30

X=30÷10

X= 3

Answer:

x=3

Step-by-step explanation:

10x + 2 = 32

- 2 -2 (2's cancel each other out )

10x = 30 divide each side by 10 and 10s cancel out so all your left with x =3

[tex]x = 3[/tex]

Answer:

The circumference is 62.8.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

P={1,2,3,4,5,6}

Q={3,4,5,6,7,8,9}

PnQ={3,4,5,6}

Therefore, n(PnQ) =4

Answer:

The answer would be 4/11

Answer:

its a angle

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a³ - b³) = (a - b) (a² + ab + b²)

27x³ - 64 = 3³x³ - 4³

               = (3x)³ - 4³   {a = 3x & b= 4)

Substitute in the above formula.

               = (3x -4)([3x]² + 3x*4 + 4²)

              = (3x - 4)(9x² + 12x + 16)

The expression 27x^3-64 factors to (3x-4) (9x^2+12x+16).

Step-by-step explanation:

25^(4x) = (25^4)^x = (5^8)^x = 5^(8x).