-X + (1/2)y = 3
In slope intercept form

Answer:

P=2200 , K=35

Step-by-step explanation:

The power, P (watts), of a car engine is proportional to the square of its speed, k%28m%2Fs%29; it means if you have two different powers and speeds, you will have a proportion

P%3Ak%5E2=P%5B1%5D%3Ak%5B1%5D%5E2 or

P%2Fk%5E2=P%5B1%5D%2Fk%5B1%5D%5E2

When given:

k=35, P=2200

Work out the power P%5B1%5D (to 1DP) when the speed is k%5B1%5D=40%28m%2Fs%29

so,

P=2200

k=35

k%5B1%5D=40

and you need P%5B1%5D

2200%2F35%5E2=P%5B1%5D%2F40%5E2

2200%2F1225=P%5B1%5D%2F1600

1.79592=P%5B1%5D%2F1600

1.79592%2A1600=P%5B1%5D

P%5B1%5D=2873.5 watts

If the speed is 30 m per second. Then the power of the car engine will be 1160.8 watts.

A proportionate expression is one in which two items are equal.

The power, P (watts), of a car engine is proportional to the square of its speed s (m/s).

P ∝ s²

P = ks²

We have

s = 35

P = 1580

Then the value of k will be

1580 = (35)² × k

k = 1.2897

Then the equation will be

P = 1.2897s²

If the speed is 30 m per second. Then the power of the car engine will be

P = 1.2897 x 30²

P = 1160.8 watts

More about the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Answer: The slope is -1/2, the y-intercept is 4, and the equation is y=-1/2x+4

Step-by-step explanation:

Answer:

The answer is b.7

Step-by-step explanation:

Because i had the question and got it right

Answer:

900 and $250

Step-by-step explanation

Given data

Total cost of utilities per month =$1150

Let the cost of rent be x

And the cost of electricity be y

x+y=1150---------1

It costs $650 more for rent per month than for electricity

x=x+650-------2

From equation 1

x+x+650=1150

2x=1150-650

2X=$500

x=500/2

x=$250

Hence the cost of electricity is $250

And the cost of rent is $650+250

=$900

Answer:

The CD player's price decreased by 35%

Answer:

F

Step-by-step explanation:

3(5) would be the equivalent of 3*5, adding the + n.

Answer:

y = x + 3

y = 3x + 1

Step-by-step explanation:

This does it in two equations.

y = x + 3 and  y = 3x + 1 equation will send 2 different lines through the coins to capture them

using the slope intercept equation,

y = mx + b

m = slope

b = y-intercept

let's pick 2 coordinate from the graph,

(-2, 1)(-1, 2)

m = 2 - 1 / -1 - (-2)  = 1 / 1 = 1

1 =  -2 + b

b = 3

Therefore,

y = x + 3

let check for another equation that will work for another line. Let's use the coordinates (-1, -2)(0, 1) to find slope.

Therefore,

m = 1 - (-2) / 0 - (-1) = 3 / 1 = 3

y = 3x + b

1 = 3(0) + b

b = 1

y = 3x + 1

Check here for similar problems: https://brainly.com/question/22490518?referrer=searchResults

Answer:

8

Step-by-step explanation:

80/10=8

Answer:

225.24099

Step-by-step explanation:

249.99(0.15) = 37.4985

249.99 - 37.4985 = 212.4915

212.4915(0.06) = 12.74949

212.4915 + 12.74949 = 225.24099

Answer:

It will take 3 hours to drive 90miles.

Step-by-step explanation:

240miles/8hours=30miles/1 hr. 90miles/3hours

Answer:

The first one.

Step-by-step explanation:

0 is greater than -18

Answer:

He reflected it over the y-axis

Step-by-step explanation:

If the x coordinate is made a negative, that means it was crossed over the line that determines the y coordinate

Answer:

y = -1/5 x + 10

Step-by-step explanation:

The equation of a line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given the equation y = 5x -1

Slope m = 5

Slope of the line perpendicular to the line will bw M = -1/5

Substitute into the equation

y - 8 = -1/5(x-10)

5(y-8) = -(x-10)

5y - 40 = -x+10

5y = -x+10+40

5y = -x+50

y = -1/5 x + 10

Hence the required equation is y = -1/5 x + 10

Answer:6.8.

Step-by-step explanation: 0.5(4) + 1.2(4) 2 + 4.8= 6.8.

9514 1404 393

Answer:

  a = (s +t)/(m +r)

Step-by-step explanation:

Add t, then divide by the coefficient of 'a'.

  [tex]a(m+r)-t=s \qquad\text{given}\\\\a(m+r)=s+t \qquad\text{add $t$}\\\\\boxed{a=\dfrac{s+t}{m+r}} \qquad\text{divide by $m+r$}[/tex]

Answer:

For the first question, the answer is 32 oz.

For the second question, the answer is 16 oz.

Step-by-step explanation:

For the first one, since there are 16 ounces in a pound, we can assume that since she has 3 pounds of fudge, she would have 48 ounces. She then eats one pound of fudge, which means we subtract 16 from 48 getting us to 32 ounces.

For the second question, it states that she gives one half of her fudge to her sister. 2 times 1/2 is 1, and since there are 16 ounces in a pound, she therefore gave 16 ounces of fudge to her sister.

Answer:

1. 32 ounces

2. 16 ounces

Step-by-step explanation:

First, you have to subtract. The equation for the subtraction is 3-1 because the student took 1 pound of fudge away from the 3 pounds she already has. And 3-1 equals 2. Now, you have to convert 2 pounds to ounces. Lastly, multiply 2 by 16 as it says in the picture (it says 16 ounces equals 1 pound). The answer to this equation can be expressed as 32 or 32 ounces.

First, you have to take information from the previous question which is that she has 2 pounds of fudge left. Then, she gives [tex]\frac{1}{2}[/tex] of the fudge to her sister, so you have to divide 2 by [tex]\frac{1}{2}[/tex] which is 1. Now, you have to express 1 as ounces as shown in the picture. You just have to multiply 1 by 16 which is 16. Therefore the answer can be expressed as 16 or 16 ounces.

Answer:

Step-by-step explanation:

dont need to graph the center dot, its just the origin

1.5 km per hour

ngl i could be wrong :/

Answer:

-1.5

Step-by-step explanation:

Hope this helps! :D

Answer:

275=27x+5

Step-by-step explanation:

10 people can go to the park

27(10)+5=275

Answer:

1 25/27

Step-by-step explanation:

1 1/3 x 1 4/9 =?

convert to total fractions:

4/3 x 13/9 = ?

multiply

52/27 = ?

reduce

1 25/27

Answer:

1/x17

Step-by-step explanation:

the first one on the left

Answer:

(-6a+4)(3a+2)

Step-by-step explanation:

(-6a+4)(3a+2)

-18a^2+12a-12a+8 (checking answer)

-18a^2+8

Answer:

103.823

Step-by-step explanation:

It's just 4.7 to the third power, so I multiplied to get 103.823. :)

Answer:

$18.72

Hope this helps :)

Answer:

i think (0,2)

Step-by-step explanation:

Answer:

m∠RSQ = 19°

Step-by-step explanation:

From the picture attached,

RT is the diameter of the a circle.

Angle subtended at the circumference by the diameter of a circle = 90°

Therefore, m∠RST = 90°

Since, m∠RSQ + m∠QST = m∠RST

m∠RSQ + 71° = 90°

m∠RSQ = 90° - 71°

             = 19°

Therefore, measure of angle RSQ is 19°.