Write the equation of the line that is parallel to y = -6x + 10 and crosses the y-axis at -4.

Answer:

The value of x of the solution to the system of equations

Hence, option (C) is true.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}x=2y-4\\ 7x+5y=-66\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}x-2y=-4\\ 7x+5y=-66\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}x-2y=-4\mathrm{\:by\:}7\:\mathrm{:}\:\quad \:7x-14y=-28[/tex]

[tex]\begin{bmatrix}7x-14y=-28\\ 7x+5y=-66\end{bmatrix}[/tex]

subtracting  7x-14y=-28 from 7x+5y=-66

[tex]7x+5y=-66[/tex]

[tex]-[/tex]

[tex]\underline{7x-14y=-28}[/tex]

[tex]19y=-38[/tex]

so the equations become

[tex]\begin{bmatrix}7x-14y=-28\\ 19y=-38\end{bmatrix}[/tex]

solve 19y = -38

[tex]19y=-38[/tex]

Divide both sides by 19

[tex]\frac{19y}{19}=\frac{-38}{19}[/tex]

[tex]y=-2[/tex]

[tex]\mathrm{For\:}7x-14y=-28\mathrm{\:plug\:in\:}y=-2[/tex]

[tex]7x-14\left(-2\right)=-28[/tex]

[tex]7x+28=-28[/tex]

[tex]7x=-56[/tex]

Divide both sides by 7

[tex]\frac{7x}{7}=\frac{-56}{7}[/tex]

[tex]x=-8[/tex]

Therefore, the value of x of the solution to the system of equations

Hence, option (C) is true.

Answer:

4.5 miles ibelieve

Step-by-step explanation:

3/4 × 6/6 is 4.5 miles

Answer:

dude your math period is way too long

Answer:

dude your math period is way too long

Answer: She have to drink 3 bottles of water.

Step-by-step explanation:

Given: Weight of Kathryn = 121.5 pounds

half of her weight = [tex]\dfrac{121.5}{2}=60.75\text{ pounds}[/tex]

So, she need to drink 60.75 pounds of water.

Kathryn's water bottle holds 20.25 ounces.

Number of water bottles she need to drink = (half of her weight) ÷ (Capacity of bottle)

[tex]=\dfrac{60.75}{20.25}\\\\=\dfrac{6075}{2025}\\\\=3[/tex]

Hence, she have to drink 3 bottles of water.

Answer:

7

Step-by-step explanation:

start by adding 3+ 11 in the parenthesis, that should give you 14. now you should have  7 + 14 over -5 + 8.  

-5 + 8 = 3  (another way to look at this problem is, 8 -5)

7+14 = 21

you should now have 21 over 3

to simplify this divide 21 by 3, this should give you 7  

Answer: 21 divided by 3

Step-by-step explanation:

If you solve the top and the bottom you get 21 for the top and 3 for the top and you can divide 21 by 3 and get 7. You can double check the math if you want, hope this helps!

Answer:

y=2x-3

Step-by-step explanation:

Answer:

The required values are a = 29°, b = 20°

Step-by-step explanation:

Angles and Lines

The image shows two lines crossing at a point where three angles are marked: 57°, 7b-17, and 2a-1.

It can be noted that 57° and 7b-17 are linear angles whose sum is 180°:

57° + 7b - 17° = 180°

Solving for b:

7b = 180° + 17° - 57°

7b = 140°

b = 140°/7 = 20°

b = 20°

It can also be noted that 57° and 2a-1 are vertical angles (opposite angles). Vertical angles are congruent, thus:

57° = 2a - 1°

Adding 1:

2a = 58°

a = 29°

The required values are a = 29°, b = 20°

Answer:

28.46in

Step-by-step explanation:

C=2πr

C=2π*4.53

C≈28.46in

Answer: $60401.16

Step-by-step explanation:

From the attached image, the total price for the vehicle = $55,927.

If he were to pay the full sticker price for the SUV, the total would sum up to

= $55,927 + 8% sales tax

= $55,927 + 8/100( $55,927)

= $55,927 + 0.08($55,927)

= $55,927 + $4474.16

= $60401.16

The total would sum up to $60401.16

Answer:

your x's will be -2, -1 , 0 , 1, 2

and your y's will be -5, -2, 1, 4, 7

Answer:

y = x + 5

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the line will have a slope of 1.

Then, plug in the slope and given point into y = mx + b to solve for b:

y = mx + b

-4 = 1(-9) + b

-4 = -9 + b

5 = b

Plug in the slope and b into y = mx + b:

y = 1x + 5

y = x + 5

So, the equation of the line is y = x + 5

Answer:

-3

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

150 divided by 3 is 50. Meaning you spend 50 minutes per class. 50 times 5 would be 250.

Answer:might be wrong but the answer is C

Step-by-step explanation:

The Unit Rate depicted in the graph will be 0.75 laps in one minute, i.e. Option A.

The Unit Rate is defined as means a rate for one of something, i.e. ratios of two quantities.

We have,

Minutes on the x-axis,

And,

Laps on the y-axis.

And,

A line goes through points (4, 3) and (8, 6),

x₁ = 4, x₂ = 8, y₁ = 3, y₂ = 6

Now,

So,

Unit rate for x₁ and  y₁,

i.e.

[tex]\frac{y_1}{x_1} =\frac{3}{4}=0.75[/tex]

Now,

Unit rate for x₂ and  y₂,

i.e.

[tex]\frac{y_2}{x_2} =\frac{6}{8}=0.75[/tex]

So,

The unit rate is 0.75 laps in one minute.

Hence, we can say that the Unit Rate depicted in the graph will be 0.75 laps in one minute, i.e. Option A.

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Answer:

Step-by-step explanation:

8x+10 - 4x+16 = 4x-6

w= 2x-3

Answer:

if you fill them all in corectly you should get not A

Not C NOR D THE ANSWER IS B 10 plus 14 equals 24 and 3 times 10 equals 30 and plus 5 times 14 equals 70 so the answer is B

tep-by-step explanation:

Answer:

Could you retype the equation so it isn't jankey?!

Step-by-step explanation:

Answer:

The midpoint of the line segment is located at (-4, 4).

Step-by-step explanation:

We're given the coordinate points of a line that can help us find the midpoint.

The midpoint formula for a line is written as:

[tex]\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)[/tex]

Additionally, we are given the coordinate points (5, -4) and (-13, 12). We can use these and label them with the (x, y) system so we can substitute them into the formula.

In math, a coordinate pair is written as (x, y). This is where cos = x and sin = y. If we are given two coordinate pairs, we can label them with the (x, y) system but also incorporating a subscript to distinguish the two x-values from each other as well as the y-values. We do this by turning the two x-values into x₁ and x₂ and the y-values follow the same protocol: y₁ and y₂.

Therefore, we can label our two coordinates:

(5, -4)

(-13, 12)

Now, we can place these values into the midpoint formula and simplify to find our midpoint.

Recall that the midpoint formula is:

[tex]\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)[/tex]

Therefore, let's substitute these values.

[tex]\displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)\\\\\\\big(\frac{5 + (-13)}{2}, \frac{(-4)+12}{2}\big)\\\\\\\big(\frac{-8}{2}, \frac{8}{2}\big)\\\\\\\boxed{(-4, 4)}[/tex]

Therefore, the midpoint of the line segment is located at (-4, 4), which is Option A.

Answer: Great question! A midpoint is exactly what it sounds like; the point in the middle of two objects (in this case it's the middle of these two coordinates). Another way to think of the middle of something in math is by using the average. To find the midpoint of two points, we just find the average of the x-values and the average of the y-values:

(x1 + x2)/2 , (y1 + y2)/2)

(5 + -13) / 2 , (-4 + 12) / 2)

( -8 / 2 , 8 / 2)

(-4 , 4)

So the answer would be A)

(-4, 4)

Explanation:

let ( x,y) be the midpoint of the line segment, then x =  5+(-13) / 2 = -8/2 = -4 and y = -4+(12 ) / 2 = 8/2 = 4, the mid point is ( -4,4)

Answer: $1.35 is the answer

Answer:

5 quarters is equal it 1$ and 25¢, 2 nickles is equal to 10¢, put these together and you get 1$ and 35¢ or 1.35$

Answer:

-75

Step-by-step explanation:

200 = 125-u

75 = -u

u = 75

Answer:

im guessing -1

Step-by-step explain

well it would be greater than -1x-1

Step-by-step explanation:

Distance between park and movie theater

= 9 - (-15)

= 24 blocks.

Answer:

24 blocks

Step-by-step explanation:

I hope this helps!

Answer:

A 33 degrees

Step-by-step explanation:

[tex]x \degree = 180 \degree - (23 \degree + 124 \degree) \\ \\ x \degree = 180 \degree - 147 \degree\\ \\ x \degree = 33 \degree \\ \\ x = 33[/tex]

Answer:

A) 33

Step-by-step explanation:

the angles of a triangle always add up to 180.

124 + 23 + x = 180

combine like terms

147 + x = 180

147 + x - 147 = 180 - 147

x = 180 - 147

x = 33

Answer:

960

Step-by-step explanation:

I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.

Consider the speed 4/5 miles in 12 minutes to travel 2/8.

8 + 4 = 12, so you can replace that with 12 minutes.

Now, you can absolutely guess your question.

Time = 12 minutes.

Distance = x (Let x be distance)

Speed = 4/5.

Now, you find distance.

Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.

So 4/5 × 12, is 9.6.

In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.

Here is a pattern I found

2/5 divided by 4 is 1/10

4/5 divided by 8 is 1/10

If , we consider the given rates , we find that both rates are equivalent.

Two rates are given which are 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

We have to find out what they actually indicate.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

Two rates are given which are ;  4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

Let's find out what they are actually indicating.

So ;

If , distance travelled in 8 minutes = 4/5 miles

Then ;

In 1 minute , distance travelled will be ;

= [tex]\frac{4}{5*8}[/tex]

= [tex]\frac{4}{40}[/tex]

= 1 / 10 miles

and

If , distance travelled in 4 minutes = 2/5 miles

Then ;

In 1 minute , distance travelled will be ;

= [tex]\frac{2}{5*4}[/tex]

= [tex]\frac{2}{20}[/tex]

= 1 / 10 miles

So , we can conclude that both rates are equivalent.

Thus , if we , consider the given rates , we find that both rates are equivalent.

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Answer:

2625

Step-by-step explanation:

Simple Interest Formula

P*R*T

1250*1.05*2=2625

Answer:

After two years, there will be a total of $1,375 paid and $125 paid in interest.

Step-by-step explanation:

Since, 5 x 2 = 10, first we should find 10% of $1,250.

1,250 x 0.10 = 125

$1,250 + $125 = $1375

Therefore, after two years, there will be a total of $1,375 paid and $125 paid in interest.

Hope this helps! :D

Answer:

1. y=14

2. x=22

3. z=3

4. n=14

5. a=10

6. m=-5

7. b=26

8. c=15

9. x=80

10. g=20

11. x=-5

12. w=-4

13. r=45

14. k=12

15. f=50

16. j=2

17. r=21

18. t=47

Answer:

25

Step-by-step explanation: