What is the value of x in the equation 5 − 3x = −7?

Answer:

45

Step-by-step explanation:

The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160

According to the question;

a) The equation relating m , the number of miles driven, if the total cost for a one-day rental was $131 is therefore;

b) To find the solution to the equation;

m = 160.

The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160.

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9514 1404 393

Answer:

Step-by-step explanation:

Let d represent the number of dimes (the higher-value coin). Then the number of nickels is 40-d, and the total value in cents is ...

  5(40 -d) +10(d) = 290

  200 +5d = 290

  5d = 90

  d = 18

  40 -d = 22

There are 22 nickels (and 18 dimes).

_____

Additional comment

If you write the equation in terms of the number of nickels (n), you end up with the equation -5n = -110. The formulation used above avoids negative numbers, which can be confusing for some people.

Answer:

Step-by-step explanation:

(3a^4b^3)^3

=3^3a^4*3b^3*3

=27a^12b^9

Answer:

27(a^12)(b^9)

Step-by-step explanation:

Can be reorganized to (3^3)((a^4)^3)((b^3)^3)

27(a^12)(b^9)

Answer:

If the same tech in the robotic arm is used throughout the body then depending on whether the arm tech is good the stability of the body will be good or bad.

Answer:   x = 41

Step-by-step explanation:

4x - 68 = 2x + 14         [since alternate interior angles are equal]

4x - 2x = 14 + 68

       2x = 82

         x = 41

Answer:

x=41

Step-by-step explanation:

this problem can be solved using the alternate interior angles converse theorem, which states that if two coplanar lines are cut by a transversal so that a pair of alternate inerior angles are congruent, then the two lines are parallel.

4x-68=2x+14

2x-68=14 <- subtract 2x from both sides

2x=82 <- add 68 to both sides

x=41 <- divide both sides by 2

check:

4(41)-68=96

2(41)+14=96

Answer:

A. 5y = 45.00; y = 9.00

Step-by-step explanation:

Step 1:

There are 5 friends in total and since we don't know how much money each of them contributed to the total amount ($45.00), we will substitute it with the variable y.

So, the amount of money the friends contributed is 5y.

The total amount of all the friends' money put together is given; $45.00.

So 5y = 45.00

______________

Step 2:

Divide 45.00 by 5 to find out how much each of the five friends contributed individually;

45.00 ÷ 5 = 9.00

So the amount of money the each friend contributes individually/ have to spend to buy a present for her individually is $9.00.

y = 9.00

______________

Model it:

5y = 45.00; y = 9.00

______________

Hope this helps! :)

Answer:

This transformation is known as a vertical stretch. This is the graph of a transformation of \begin{align*}y=x^2\end{align*}. The points are plotted from the vertex as right and left one and down one-half, right and left 2 and down two, right and left three and down four and one-half

Answer:

169,000 people

Step-by-step explanation:

increase from 2010-2015:

168000/100 = 1680 = 1%

1680 x 7 = 11,760 people

population at 2015 = 168000+11760 = 179,760

decrease from 2015-2020:

179760/100 = 1797.6 = 1%

1797.6 x 6 = 10,785.6 people

population at 2020 = 179760-10787.6 = 168,974.4 people

rounded to the nearest 100 = 169,000 people

[tex] \frac{ {8}^{4} }{8 {}^{2} } \times 8 {}^{3} [/tex]

[tex]8 {}^{2} \times 8 {}^{3} [/tex]

[tex]8 {}^{5} [/tex]

Answer:

1,4

Step-by-step explanation:

trust me.........................well I am a stranger but trust I guess

Answer:

1/4 gallon per day

Step-by-step explanation:

Find the 'unit rate:' the measure of juice drunken daily.  To do this, divide '3/4 gallon' by '3 days:"

 3/4 gallon

------------------- = 1/4 gallon per day

    3 days

Answer:

here the answer it's 16.

Answer:

9526

Step-by-step explanation:

simplify 3^3+27

4+3*6(4-27)^2

simplify: 4-27+ -23

4+3*6(-23)^2

since the power of 2 is even it will be a positive

4+3*6*23^2

simplify: 23^2 to 529

4+3*6*529

simplify 3*6 to 18

4+18*529

then simplify 18*529 to 4+9522

and 4+9522= 9526

Rise = -4

Run = 3

Rise/run = -4/3

Answer:

-4/3

Step-by-step explanation:

Rise: 4

Run:3

And, this is negative because any line slanted downward right (pointing to the left) indicates it is negative.

Answer:

y = 2/5x - 5

Step-by-step explanation:

(-10,-9) and (10,-1)

Slope: (-1 - - 9) / ( 10 - - 10)

Slope = 8/20 = 2/5

b = -9 - (2/5(10)

b = -5

The equation of the line that passes through the point (−10,−9) and (10,-1) is; y = 2/5x - 5

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Slope: (-1 - - 9) / ( 10 - - 10)

m = Slope = 8/20 = 2/5

Now intercept;

b = -9 - (2/5(10)

b = -5

Now Write the equation as

y = 2/5x - 5

Hence, the equation of the line that passes through the point (−10,−9) and (10,-1) is; y = 2/5x - 5

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Answer:

K would be 8

Step-by-step explanation:

8-2 = 6

6/3 = 2

Step-by-step explanation:

f(7) = 34

7² -5(7) +k = 34

49-35+k =34

14+k = 34

k = 34-14

k = 20

__________

[tex] \: [/tex]

f(x) = x² - 5x + k

f(7) = 34

Soo :

f(7) = 34

(7)² - 5(7) + k = 34

49 - 35 + k = 34

14 + k = 34

k = 34 - 14

k = 20✔

Answer:

basketball game tickets: $7.25;

football game tickets: $6.50

Step-by-step explanation:

Let B represent the cost of a basketball ticket and F represent the cost of a football ticket.

Amount for basketball ticket plus amount for football tickets equal the total cost.

4B + 5F = 61.50

5B + 3F = 55.75

Choose one equation in the system to solve for a variable.

Solve the first equation for F.

4B + 5F = 61.50  

5F = −4B + 61.50  Subtract 4B from both sides.

F = −0.8B + 12.30  Divide both sides by 5.

Substitute the expression −0.8B + 12.30 for F in the other equation.

5B + 3F = 55.75  

5B + 3(−0.8B + 12.30) = 55.75  Substitute.

5B − 2.4B + 36.90 = 55.75  Distribute.

2.6B + 36.90 = 55.75  Combine like terms.

2.6B = 18.85  Subtract 36.90 from both sides.

B = 7.25  Divide both sides by 2.6.

Substitute the B-value into one of the original equations to solve for F.

4B + 5F = 61.50  

4(7.25) + 5F = 61.50  Substitute.

29 + 5F = 61.50  Multiply.

5F = 32.50  Subtract 29 from both sides.

F = 6.50  Divide both sides by 5.

The cost of a basketball ticket is $7.25, and the cost of a football ticket is $6.50.

The cost of basketball game tickets is $7.15 and football game ticket is $6.5

Let the cost of a basketball game ticket be x

Let the cost of football game ticket be y

If 4 basketball game tickets and 5 football game tickets were purchased for $61.50, hence;

4x + 5y = 61.50 ..................1

If  5 basketball game tickets and 3 football game tickets were purchased for $55.75, hence;

5x + 3y = 55.75 ...........................2

Solving 1 and 2 simultaneously

4x + 5y = 61.50 ..................1 * 3

5x + 3y = 55.75 ...........................2 * 5

_________________________________

12x + 15y = 184.5

25x + 15y = 278.75

Subtract

12x - 25x = 184.5 - 278.75

-13x = -94.25

x = 7.25

Substitute x = 7.25 into equation 1:

From 1:

4x + 5y = 61.50

4(7.25) + 5y = 61.50

29 + 5y = 61.50

5y = 61.50 -29

5y = 32.5

y = 32,5/5

y = 6.5

Hence the cost of basketball game tickets is $7.15 and football game ticket is $6.5

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Answer:

The value of 3 is in the three-hundred thousands place

300,000

Answer:

x ≥ - 1

Step-by-step explanation:

10x + 5 ≥ 2x - 3 ( subtract 2x from both sides )

8x + 5 ≥ - 3 ( subtract 5 from both sides )

8x ≥ - 8 ( divide both sides by 8 )

x ≥ - 1

Answer:

as x -> -∞, y-> ∞ and as x-> ∞, y -> -∞  - Second option

Step-by-step explanation:

If you look carefully to the left, when x becomes negative the y value becomes positive. On the right, x becomes positive and y becomes negative.

Answer:

y=6x-506

Step-by-step explanation:

Start by finding the slope.

Let your x-axis be temperature and you y-axis be chirps per minute.

This leaves you with your two points to find slope.

The first point would be (100,94) and your second point would be (103,112).

From here we can do the standard slope equation [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex].

[tex]\frac{112-94}{103-100}[/tex]=[tex]\frac{18}{3}[/tex]

[tex]\frac{18}{3}[/tex] Is your slope for the line which can be simplified to 6.

Next find your y-intercept. This can be found by moving around your

y=mx+b equation.

y-mx=b

Pick a point to substitute into the equation. Ill use (103, 112).

[tex]112-6(103)=b[/tex]

[tex]112-618=b[/tex]

[tex]-506=b[/tex]

[tex]b=-506[/tex]

Knowing slope and the y-intercept we can write the slope intercept equation

y=6x-506

Answer:

3x+5

Step-by-step explanation:

The base has length 3x+5. You answered your own question darling

Answer:

336

Step-by-step explanation:

just took the test

The correct answer is 336.

By using the arrangement calculation formula:

⇒ [tex]A^{3}[/tex][tex]^{8}[/tex]  

⇒ 8 × 7 × 6

⇒ 336

The correct answer is 336.

Remember that combinations are a way to calculate the total outcomes of an event where the order of the outcomes does not matter. To calculate combinations, we will use the formula NCR = n! / r! * (n - r)!, where n represents the number of items, and r represents the number of items being chosen at a time.

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The area of a shape is the amount of space it can occupy.

The value of r is 13

From the question (see attachment), we have:

[tex]\mathbf{A =176}[/tex] --- area of the shaded region

[tex]\mathbf{w = 2}[/tex] --- the width of the shaded region

The area of the complete circle would be:

[tex]\mathbf{A_1 =\pi (r + w)^2}[/tex]

The area of the small circle is:

[tex]\mathbf{A_2 =\pi r^2}[/tex]

So, the area of the shaded region is:

[tex]\mathbf{A = A_1 - A_2}[/tex]

Substitute known values

[tex]\mathbf{176 =\pi (r + w)^2 - \pi r^2 }[/tex]

Substitute 2 for w

[tex]\mathbf{176 =\pi (r + 2)^2 - \pi r^2 }[/tex]

Expand

[tex]\mathbf{176 =\pi (r^2 + 4r + 4) - \pi r^2 }[/tex]

Open brackets

[tex]\mathbf{176 =\pi r^2 + 4\pi r + 4\pi - \pi r^2 }[/tex]

Cancel out line terms

[tex]\mathbf{176 =4\pi r + 4\pi }[/tex]

Divide through by 4

[tex]\mathbf{44 =\pi r + \pi }[/tex]

Factor out pi

[tex]\mathbf{44 =\pi(r+ 1) }[/tex]

Divide through by pi

[tex]\mathbf{r + 1= \frac{44}{ \pi} }[/tex]

Substitute 22/7 for pi

[tex]\mathbf{r + 1= \frac{44}{ 22/7} }[/tex]

Using a calculator, we have

[tex]\mathbf{r + 1= 14}[/tex]

Solve for r

[tex]\mathbf{r= 14 -1}[/tex]

[tex]\mathbf{r= 13}[/tex]

Hence, the value of r is 13

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Answer:

53010000

Step-by-step explanation: