Solve the system by substitution.
y= 10x
y= 2x - 16

Answer: 15.

Step-by-step explanation: You have to use the distance formula which is [tex]\sqrt{(x\\_{2} -x_{1})^{2} + (y_{2} - y_{1} )^{2}[/tex]. [tex]x_{1}[/tex] means the x in the first point, so on and so forth. You just plug in and don't forget to take the square root of the number you get!

Please tell me if its right. Thanks!

Answer:

SA: 664 in²

LA: it’s supposed to be 1040cm???

Step-by-step explanation:

SA: find the area of all sides of the prism first (I suppose it’s rectangular?)

80+80+112+112+140+140 = 664

LA: the lateral area formula is (perimeter of base)*height...

perimeter of base = (6+6+14+14) = 40

40 * 26 = 1040

I may be wrong on the second one since I don’t know what the prism’s shape is... Hope it helps though ;)

Answer:

1,092

Step-by-step explanation:

Answer:

15625

Your welcome. Have a great day :D

Answer:

2.9

Step-by-step explanation:

and yw i saw that u put thx in the comments

9514 1404 393

Answer:

  12x +12y = 7

Step-by-step explanation:

The 2-point form of the equation for a line is useful.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (1/3 -1/4)/(1/4 -1/3)(x -1/3) +1/4

  y = (1/12)/(-1/12)(x -1/3) +1/4)

  y = -x +1/3 +1/4

Add x and multiply by 12.

  x +y = 1/3 +1/4

  12x +12y = 4 +3

  12x +12y = 7

Answer:

7 inches and 5 inches

Step-by-step explanation:

The length the length and width of the rectangle be l and b.

Accodrding to question,

Width, b = l-2

Perimeter, P = 24 inches

We know that,

The perimeter of a rectangle is given by :

P = 2(l+b)

24 = 2(l+l-2)

12 = 2l-2

14=2l

l = 7 inches

Width, b = 7-2 = 5 inches

Hence, the length and width of the rectangle are 7 inches and 5 inches respectively.

Answer:

I think its C.4

Step-by-step explanation:

Answer:

30, 60

Step-by-step explanation:

The sum of a triangles angles should be 180.

Subtract 90 because it's a right triangle.

180 - 90 = 90

Now we know the sum of the other angles should be 90.

x + 2x = 90

Solve for x.

3x = 90

x = 30

Now you substitute 30 for x.

(30), 2(30)

30, 60

For the given triangle the measure of the angle y is 65°.

Hence the correct option is C.

The angles that are created outside of a triangle are its external angles.

In other terms, the angle created between one of a triangle's sides and its neighboring extended side is the triangle's exterior angle.

And the exterior angle of a triangle is the sum of the interior angles of opposite sides.

The given angles are:

Exterior angle =  130°

Interior angles are y° and y°

Therefore,

Exterior angle  = y° + y°

130° = y° + y°

2y° = 130

Dividing both sides by 2 we get,

y° = 65°

Hence,

The measure of the angle y is 65°.

To learn more about the triangle visit;

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Answer:

let r ,v be the radius and volume of sphere.

dv/dt=64πft³/min

r=2ft

Dr/dt=?

Step-by-step explanation:

we have

volume of sphere=4/3πr²

v=4/3πr²

differentiating both side with respect to t we get

dv/dt=4πdr²/dr×dr/dt=4π×2r×dr/dt=8/3×πr×dr/dt

substituting the given value we get

dv/dt=8/3×πr×dr/DT

64π×3/(8π×2)=dr/dt

Dr/dt=12ft/min

The balloon's radius is increasing at a rate of12 ft/min

The balloon's radius increasing at the instant the radius is 2 ft will be 10106.47 ft³ per minute.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A spherical balloon is inflating with helium at a rate of 64π ft/min.

dr/dt = 64π ft/min

Then the balloon's radius increasing at the instant the radius is 2 ft will be

V = (4/3)πr³

Differentiate with respect to time. Then we have

[tex]\rm V' = \dfrac{dV}{dt} \\\\ V' = \dfrac{4}{3}\cdot \pi 3r^2 \cdot \dfrac{dr}{dt}[/tex]

Simplify the equation, then we have

V' = 4πr² × 64π

V' = 4π × (2)² × 64π

V' = 10106.47 ft³ per minute

The balloon's radius increasing at the instant the radius is 2 ft will be 10106.47 ft³ per minute.

More about the differentiation link is given below.

https://brainly.com/question/24062595

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Answer:4.08 ft a year or 1 and 5/8 feet a year (approx)

Step-by-step explanation:

It's  12.5 feet the first year

51 feet 5 years later

If you do the math and divide 51 by 12.5, you get 4.08 which is around 1 and 5/8 ft

12.5x4.08 is  51 feet.

So the tree grows approximately 1 and 5/8 feet a year

Answer:

112500000???

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

trust me i had the same answer and it was right

Answer:

A

Step-by-step explanation:

Answer:

D: 11,046

Step-by-step explanation: i took the quiz

Answer:

x=192

Step-by-step explanation:

48(2)

180-96=84

84x2=168

360-168=192

x=192

Answer:

Step-by-step explanation:

Let the equation of the line be x = y - 12

The x intercept occurs at y = 0

Substitute y = 0 into the equation

x = 0 -12

x  = -12

Hence the x intercept of the line is -12

Note that the equation was assumed. The same calculation can be employed for any equation given

Answer:

(-32,0) if ur looking for the coordinates:)

Step-by-step explanation:

Answer:

2.4%

Step-by-step explanation:

The value of R is, 2.4%

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Louis invested £2950 in a savings account for 5 years.

He was paid 1.9% per annum compound interest for each of the first 4 years.

And, He was then paid R% interest for the fifth year.

Louis had £3257 in his savings account at the end of the 5 years.

Here, We know that;

⇒ Compound interest formula = Capital × (1 + r%) ⁿ

Where, n is time in years.

So, We can formulate;

⇒ £2950 × (1 + 0.019)⁴

⇒ £3180.67

And, For calculate R;

⇒ £3180.67 × (1 + R%)⁵ = £3257

⇒ R = 2.4%

Learn more about the simple interest visit;

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awnscer is 6.72 sorry could not find a diagram

Answer:

The answer is 6.72

Step-by-step explanation:

what you can do is 42 x 16 (you can add the decimal if you want) btu after your done solving it you should get 672 and if your doing decimals just count how many behind the decimal and count it and you will get 6.72! hope this helps.

Answer:

The correct answer is x = -12.

♡ The Question ♡

4x - 2 (x + 1) = 3x + 10 ​  

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

x = -12

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

4x - 2 (x + 1) = 3x + 10

2x - 2 = 3x + 10

2x - 2 + 2 = 3x + 10 + 2

2x - 3x = 3x + 12 - 3x

-x = 12

-x/-1 = 12/-1

x = -12

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

-No tips provided!

Answer: c = 1.59 * a

Step-by-step explanation:

You got the answer correct.

Answer:

You are correct, it is c = 1.59 * a

Step-by-step explanation:

He spent 20% of his exercise time for the week on Monday!

How I got this is by finding the total amount of time spent exercising in the week and the total amount of exercise on Monday. I found that one fifth (1/5) of his exercise time was spent on Monday, or in percentage form, 20%!

Hope this helps, if not, comment below please!!!

:L

Answer:

Total number of dimes collected = 50

Step-by-step explanation:

Let the number of dimes collected = d

And the number of nickels collected = n

On day collection in nickels and dimes = $6.55

Since, 1 nickel = $0.05

Therefore, 'n' nickels = 0.05n

And 1 dimes = $0.10

Value of 'd' dimes = $0.10d

Total value of 'n' nickels and 'd' dimes = $(0.05n + 0.10d)

So the equation for the total value will be,

0.05n + 0.10d = 6.55

5n + 10d = 655 --------(1)

Number of nickels was 6 more than half the number of dimes.

n = [tex]\frac{d}{2}[/tex] + 6 ------(2)

By substituting the value 'n' from equation (2) to equation (1)

5([tex]\frac{d}{2}[/tex] + 6) + 10d = 655

[tex]\frac{5d}{2}[/tex] + 30 + 10d = 655

[tex]\frac{25d}{2}[/tex] = 655 - 30

25d = 625 × 2

d = [tex]\frac{1250}{25}[/tex]

d = 50

Therefore, total number of dimes collected = 50

Answer:

55%

Step-by-step explanation:

11/20 = x/100

cross multiply

Answer:

55%

Now we can see that our fraction is 55/100, which means that 11/20 as a percentage is 55%.

Step-by-step explanation:

Introduction to Solving Systems of Equations Theresa and Cary are saving for a printer. Theresa has $10 in the bank and will save $20 each month. Cary has $25 in the bank and will save $15 each month. 1. How much does Theresa have at month #0710 2. How much does Cary have at month #obA 3. Fill in the table for several months. Then graph the data. Use a different color for each girl's table values and graph. Label and scale the axes appropriately Theresa Ca Total Total Month # | Month # | savings in $ (x) savings in $ 0 0 2 2 5 6 6 S 7 4. Write an equation that represents Theresa's savings. yoxtl 5. Write is an equation that represents Cary's savings. tS Which girl is saving at a faster rate? Justify your answer by referring to the 6. table, the graphs, and the equations. 7. At which months does Theresa have more money? 8. At which months does Cary have more money? 9. At which month do they have the same amount of money? What do you notice about the graphs at this month? Introduction to Solving Systems of Equations con... Two friends, Malcolm and Zeke, are going to the park that is near their school. They leave at the same time from different locations. Malcolm is 30 meters from the school on his way to the park, and he is walking at the rate of 1 meter per second. Zeke is at school and will jog to the park at a rate of 4 meters

Answer:b=39 degrees

Step-by-step explanation:

We know the whole angle is a 90 degree angle because of the right angle sign. So all we have to do is subtract 51 from 90, which is 39 degrees