A car travels 61 miles per hour. At this rate, how far will the car travel in 5 hours?​

Answer:

Sun-Li will be able to ride 12 rides. (30-5)/2=24

Step-by-step explanation:

Answer:

14. [tex]y = -2x -1[/tex]

15. [tex]y = -\frac{3}{4}x +3[/tex]

16. [tex]y= 4x + 9[/tex]

17. [tex]y = -\frac{5}{3}x -2[/tex]

18. [tex]y= -\frac{2}{3}x -5[/tex]

19. [tex]y = 4x -3[/tex]

20. [tex]y = -3x -7[/tex]

Step-by-step explanation:

Solving (14):

Given

[tex](x_1,y_1) = (-7,13)[/tex]

[tex]Slope (m) = -2[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - 13 = -2(x -(-7))[/tex]

[tex]y - 13 = -2(x +7)[/tex]

[tex]y - 13 = -2x -14[/tex]

Collect Like Terms

[tex]y = -2x -14 + 13[/tex]

[tex]y = -2x -1[/tex]

Solving (15):

Given

[tex](x_1,y_1) = (-4,6)[/tex]

[tex]Slope (m) = -\frac{3}{4}[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - 6 = -\frac{3}{4}(x - (-4))[/tex]

[tex]y - 6 = -\frac{3}{4}(x +4)[/tex]

[tex]y - 6 = -\frac{3}{4}x -3[/tex]

Collect Like Terms

[tex]y = -\frac{3}{4}x -3 + 6[/tex]

[tex]y = -\frac{3}{4}x +3[/tex]

Solving (16):

Given

[tex](x_1,y_1) = (-5,-11)[/tex]

[tex](x_2,y_2) = (-2,1)[/tex]

First, we need to calculate the [tex]slope\ (m)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{1 - (-11)}{-2 - (-5)}[/tex]

[tex]m = \frac{1 +11}{-2 +5}[/tex]

[tex]m = \frac{12}{3}[/tex]

[tex]m = 4[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - (-11) = 4(x -(-5))[/tex]

[tex]y +11 = 4(x+5)[/tex]

[tex]y +11 = 4x+20[/tex]

Collect Like Terms

[tex]y= 4x + 20 - 11[/tex]

[tex]y= 4x + 9[/tex]

Solving (17):

Given

[tex](x_1,y_1) = (-6,8)[/tex]

[tex](x_2,y_2) = (3,-7)[/tex]

First, we need to calculate the [tex]slope\ (m)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-7 - 8}{3- (-6)}[/tex]

[tex]m = \frac{-7 - 8}{3+6}[/tex]

[tex]m = \frac{-15}{9}[/tex]

[tex]m = -\frac{5}{3}[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - 8 = -\frac{5}{3}(x -(-6))[/tex]

[tex]y - 8 = -\frac{5}{3}(x +6)[/tex]

[tex]y - 8 = -\frac{5}{3}x -10[/tex]

Collect Like Terms

[tex]y = -\frac{5}{3}x -10 + 8[/tex]

[tex]y = -\frac{5}{3}x -2[/tex]

18.

Given

[tex](x_1,y_1) = (-6,-1)[/tex]

[tex]y = -\frac{2}{3}x+1[/tex]

Since the given point is parallel to the line equation, then the slope of the point is calculated as:

[tex]m_1 = m_2[/tex]

Where [tex]m_2[/tex] represents the slope

Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison

[tex]m = -\frac{2}{3}[/tex]

and

[tex]m_1 = m_2 = -\frac{2}{3}[/tex]

Equation in [tex]slope\ intercept\ form[/tex] is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - (-1) = -\frac{2}{3}(x - (-6))[/tex]

[tex]y +1 = -\frac{2}{3}(x +6)[/tex]

[tex]y +1 = -\frac{2}{3}x -4[/tex]

[tex]y= -\frac{2}{3}x -4 - 1[/tex]

[tex]y= -\frac{2}{3}x -5[/tex]

19.

Given

[tex](x_1,y_1) = (-2,-11)[/tex]

[tex]y = -\frac{1}{4}x+2[/tex]

Since the given point is parallel to the line equation, then the slope of the point is calculated as:

[tex]m_1 = -\frac{1}{m_2}[/tex]

Where [tex]m_2[/tex] represents the slope

Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison

[tex]m_2 = -\frac{1}{4}[/tex]

and

[tex]m_1 = -\frac{1}{m_2}[/tex]

[tex]m_1 = -1/\frac{-1}{4}[/tex]

[tex]m_1 = -1*\frac{-4}{1}[/tex]

[tex]m_1 = 4[/tex]

Equation in [tex]slope\ intercept\ form[/tex] is:

[tex]y - y_1 = m(x-x_1)[/tex]

[tex](x_1,y_1) = (-2,-11)[/tex]

Substitute values for y1, m and x1

[tex]y - (-11) = 4(x - (-2))[/tex]

[tex]y +11 = 4(x +2)[/tex]

[tex]y +11 = 4x +8[/tex]

Collect Like Terms

[tex]y = 4x + 8 - 11[/tex]

[tex]y = 4x -3[/tex]

20.

Given

[tex](x_1,y_1) = (-10,3)[/tex]

[tex](x_2,y_2) = (2,7)[/tex]

First, we need to calculate the slope of the given points

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{7 - 3}{2 - (-10)}[/tex]

[tex]m = \frac{7 - 3}{2 +10}[/tex]

[tex]m = \frac{4}{12}[/tex]

[tex]m = \frac{1}{3}[/tex]

Next, we determine the slope of the perpendicular bisector using:

[tex]m_1 = -\frac{1}{m_2}[/tex]

[tex]m_1 = -1/\frac{1}{3}[/tex]

[tex]m_1 = -3[/tex]

Next, is to determine the coordinates of the bisector.

To bisect means to divide into equal parts.

So the coordinates of the bisector is the midpoint of the given points;

[tex]Midpoint = [\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2)][/tex]

[tex]Midpoint = [\frac{1}{2}(-10+2),\frac{1}{2}(3+7)][/tex]

[tex]Midpoint = [\frac{1}{2}(-8),\frac{1}{2}(10)][/tex]

[tex]Midpoint = (-4,5)[/tex]

So, the coordinates of the midpoint is:

[tex](x_1,y_1) = (-4,5)[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1: [tex]m_1 = -3[/tex] & [tex](x_1,y_1) = (-4,5)[/tex]

[tex]y - 5 = -3(x - (-4))[/tex]

[tex]y - 5 = -3(x +4)[/tex]

[tex]y - 5 = -3x-12[/tex]

Collect Like Terms

[tex]y = -3x - 12 +5[/tex]

[tex]y = -3x -7[/tex]

Answer:

The answer is

[tex] \huge y = - \frac{5}{4} x - 3[/tex]

Step-by-step explanation:

To find an equation of a line in when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 8 = - \frac{5}{4} (x - 4) \\y + 8 = - \frac{5}{4} x + 5 \\ y = - \frac{5}{4} x + 5 - 8[/tex]

We have the final answer as

[tex]y = - \frac{5}{4} - 3 \\ [/tex]

Hope this helps you

Answer: -16.74

Step-by-step explanation:

Answer:-16.74

Step-by-step explanation:

Answer:

d = dependant; t = independant

Step-by-step explanation:

The d value is dependant on the t value, therefore it is the dependant. The t is the only valuable that can be changed in the equation, therefore being the independant.

Answer:

[tex]D[/tex] = dependent; [tex]t[/tex] = independent

Step-by-step explanation:

[tex]D[/tex] is the independent variable since its value relies/depends on the value of [tex]t[/tex].

[tex]t[/tex] is the independent variable since it is the input variable which can be changed.

Hope this helps :)

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[tex] \frac{43}{10} - x = 4 \\ [/tex]

[tex] \frac{43}{10} - x = \frac{40}{10} \\ [/tex]

Subtract sides 43 / 10

[tex] - \frac{43}{10} + \frac{43}{10} - x = - \frac{43}{10} + \frac{40}{10} \\ [/tex]

[tex] - x = \frac{ - 43 + 40}{10} \\ [/tex]

[tex] - x = - \frac{3}{10} \\ [/tex]

Negatives simplifies

[tex]x = \frac{3}{10} \\ [/tex]

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Thus we need to subtract

[tex] \frac{3}{10} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

83/10

Step-by-step explanation:

let x represent the number:

43/10 - x = 4

x = 4 + 43/10

simplifying the answer:

x = (4(10) + 43)/10

x = (40 + 43)/10

x = 83/10

Answer:

-48-22i

Step-by-step explanation:

Answer: 50 degrees

Step-by-step explanation:

the middle angles are vertical (equal to eachother) so you just have to do 180-80=100 and divided by two is fifty

Answer:

h = -25.2

Step-by-step explanation:

To solve the equation, you want to isolate the h variable. To do this, move 12.6 to the other side of the equation. Since you were adding on the left side, use the inverse operation, subtracting, on the right. Simplify the result to get the answer.

h + 12.6 = -12.6

h = -12.6 - 12.6

h = -25.2

Answer:

No/ False.

Step-by-step explanation:

1.) Substitute the coordinates to the given inequality; x is 2, and y is 2. Then, solve.

[tex]2x-3y\geq 6\\2(2)-3(2)\geq 6\\4-6\geq 6\\-2\geq 6[/tex]

Negative 2 (-)2 is NOT GREATER THAN OR EQUAL to Positive 6 (+6), therefore it is a FALSE STATEMENT.

Answer:

no

Step-by-step explanation:

its in the picture. -2 is not greater than or equal to 6

The percent increase in the temperature is 50%.

To understand more, check below explanation.

The temperature increases from 18° F to 27° F.

       Increase in temperature = 27 - 18 = 9

The percent increase in the temperature is computed as,

                                  [tex]=\frac{27-18}{18}*100\\ \\=\frac{9}{18}*100\\ \\=\frac{1}{2}*100=50\%[/tex]

Learn more about the percentage here:

https://brainly.com/question/24304697

Answer:

frame b because it takes up more room than the other some it forces the other to be smaller

Step-by-step explanation:

Answer:

Step-by-step explanation

It is Frame B trust me it is bigger.

Answer:

( -2,0,2 ) three

Step-by-step explanation:

HOPE THIS HELPS

Answer:

I would say A and E would be it.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

You just plug in the numbers

y = x - 7

-5 = 2 - 7

- 5 = - 5

This makes this equation true.

Answer:

0.36

Step-by-step explanation:

0.4=4/10

0.9=9/10

9/10 times 4/10= (9 times 4)/(10 times 10)=36/100=0.36

Another way you could've done it was to see that since there are 2 decimal points there, the product would also have to have 2 decimal points.

Answer:

.36

Step-by-step explanation:

Answer:

perimeter =22m

area=28square meter

perimeter of rectangle=4l

22m=4l

22÷4=l

5.5=l

l=5.5m

area of rectangle =l×b

28=5.5×b

28÷5.5=b

5.09=b

b=5.09m

length =5.5m and breadth =5.09m answer !!!!

Answer:

38260

Step-by-step explanation:

ur welcome

Answer:

38,260

Step by step instructions

Oksuruk diyaframincok ani kasilmasiyla olusan bir reflekstir.

Answer:

g(-3) = -30

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define

g(x) = 2x² - 12

g(-3) is x = -3

Step 2: Solve

Answer:

For the first one wouldnt it be like:

ht=10(r)+5

Step-by-step explanation:

Answer:

Part A - In the graph, point A is at (-2, 4). Point A is in quadrant II of the coordinate plane.

Part B - In the graph, point C is the reflection of point A across the y-axis. The coordinates of C are (2, 4), so C is located in quadrant I.

Step-by-step explanation:

(Got this right off Edmentum so it's correct)

(Oh, one last thing. What you're asking is part B, I just gave the answer to the question before it)

Answer:

i think it b or d

Step-by-step explanation:

hope it helps!

Answer:

Mae ling would have made 2,302.

Step-by-step explanation:

Answer:

U can determine that lines e and f are not parallel

Step-by-step explanation:

By remembering vertical angles, u can find all the angles for the diagram. The top are: 110, 70, 70, 110. The bottom four are: 105, 75, 75, 105. As u can see they're not the same so the lines cannot be parallel

Answer:

None are parallel.

Step-by-step explanation:

Only when the coordinates have the same distance in both x and y that both lines are parallel, which none of these are.

Hope this helped!

Answer:

A

Step-by-step explanation:

1. Honestly, my course of action, if allowed to, would be to use my graphing calculator. Obviously, you can graph the first equation but the second one requires some rearranging, keeping in mind that we are isolating the y.

[tex]2y-2x=10[/tex]

[tex]2y=2x+10[/tex]

[tex]y=x+5[/tex]

So now we have an equation of the line. Simply enter both of these equations into your graphing calculator and you're all set.

I hope this helps!

Answer:

Step-by-step explanation:

If we know the slope and a point, we can easily write it in point-slope form

[tex]y - y_1 = m(x-x_1)\\y - 8 = -5(x-(-3))\\y - 8 = -5(x+3)[/tex]

Answer:

(0,6) and (-2, 0)

Step-by-step explanation:

All straight lines follow the equation, y = mx + c. where c is the y-intercept (the point where the line meets the y-axis) and m is the gradient.

In this equation, c = 6. So, the point where the line meets the y-axis is (0, 6).

Remember: the point where the line meets the y-axis always has an x-coordinate of 0 and the point where the line meets the x-axis has a y-coordinate of 0.

using this information, we can substitute y in the equation with 0 becoming

0 = 6 + 3x

now we can solve for x.

0 -6 = 3x

-6 / 3 = x

x = -2

the coordinate is (-2, 0)

Answer:

32

Step-by-step explanation:

The numbers and letters next to each other mean multiplication. Plus, we already know the values of y and z, so all you have to do is simplify the equation. 10y turns into 10 x 5, and 6z turns intro 6 x 3. So now the equation is 50 - 18, which equals 32. Hope this helps!

Value of expression 10y -6z if y = 5 and z = 3 = 32

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.

Given

value of y = 5

value of z = 3

expression 10y - 6z

Putting value of y and z in the expression

10(5) - 6(3)

= 50 - 18

= 32

Hence, 32 is the value of expression 10y -6z if y = 5 and z = 3.

Learn more about expressions here:

brainly.com/question/13947055

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