To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?

First equation: 4x − 3y = 34

Second equation: 3x + 2y = 17

1.The first equation should be multiplied by 2 and the second equation by 3.
2.The first equation should be multiplied by 2 and the second equation by −3.
3.The first equation should be multiplied by 3 and the second equation by 4.
4.The first equation should be multiplied by 3 and the second equation by −4.

Answer:

220

Step-by-step explanation:

The new circumference of the circle will be 220 feet if the circumference of a circular lawn is 110 feet.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

The circumference of a circular lawn is 110 feet.

2πr = 110

r = 55/π

Double the radius:

R = 2r= 110/π

New circumference = 2πR = 2π(110/π) = 220 feet

Thus, the new circumference of the circle will be 220 feet if the circumference of a circular lawn is 110 feet.

Learn more about circle here:

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#SPJ2

Answer:

[tex]2\sqrt[3]{2}[/tex]

Step-by-step explanation:

This is equal to [tex]\sqrt[3]{8} * \sqrt[3]{2} = 2\sqrt[3]{2}[/tex]

Answer: it's about 46.6% for the first card the second card depends on the first card if the first card is even the likelihood of the second being even is 40%, if the first card is odd then the likelihood of the second card being odd too be about 46,6%

Answer:

The volume of a sphere of radius r is:

S = (4/3)*pi*r^3

The volume of a cylinder of radius r and height h is:

C = pi*r^2*h

For this problem the height of the cylinders will be equal to the diameter of the spheres, which is equal to two times the radius.

First, let's use the radius: r = 2.

The volume of the sphere will be:

S = (4/3)*3.14*(2)^3 = 33.49

The volume of the cylinder, where h = 2*2 = 4, is:

C = 3.14*(2^2)*4 = 50.24

Now, let's choose the radius r = 3.

The volume of the sphere will be:

S = (4/3)*3.14*3^3 = 113.04

The volume of a cylinder with this radius and h = 3*2 = 6, is:

C = 3.14*(3^2)*6 = 169.56

Answer:

0

Step-by-step explanation:

y=mx+b

m=0

Answer:

Kathy's daughter is 8 years old

Step-by-step explanation:

What we know:

Kathy is 33 years old.

That is 7 years younger than 5 times her daughter's age.

With that, the equation 5x - 7 = 33 can be used to find x.

Step 1:

Move "- 7" to the right side of the equation, and find the opposite of it.

5x = 33 + 7

Step 2:

Add "33" and "+7" to get "40."

5x = 40

Step 3:

Divide both side by "5."

5x/5 = 40/5

x = 8

Thus, Kathy's daughter is 8 years old.

Answer:

8

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Using any two ordered pairs, say (2, 17) and (4, 45),

Let,

[tex] (2, 17) = (x_1, y_1) [/tex]

[tex] (4, 45) = (x_2, y_2) [/tex]

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{45 - 17}{4 - 2} [/tex]

[tex] = \frac{28}{2} [/tex]

Rate of change = 14

Answer:

CGIA

Step-by-step explanation:

C is the first line, G is the second, I is the third, and A is the fourth.

I graphed it all. If I helped you, give me brainliest

Answer:

what is that

Step-by-step explanation:

me cant see

Answer:

y = 4x

Step-by-step explanation:

You were close, its positive 4 rather than negative 4.

Step-by-step explanation:

-33 + -20 is -53. and I don't how

Answer:

Is that you in your pfp?

Step-by-step explanation:

Answer:

A then D then C then F thats what I see

Step-by-step explanation:

Answer:

1 / 2

Step-by-step explanation:

Total # of marbles in the bag = 30

Total # of blue marbles in the bag = 15

Probability of pulling a blue marble = # of blue /  total # of marbles

Probability = 15 / 30

Simplify = 1 / 2

Answer:

Find the slope from a graph

Locate two points on the line whose coordinates are integers.

Starting with the point on the left, sketch a right triangle, going from the first point to the second point.

Count the rise and the run on the legs of the triangle.

Take the ratio of rise over run to find the slope. m = rise / run.

Answer:

She needs to order 6 pizzas.

Step-by-step explanation:

(My bad I thought it was one pizza that fed 4 people not two)

Answer:

6 pizzas

Step-by-step explanation:

2pizza=4 people

12/4=3

3*2=6

==========================================

Work Shown:

q = (-4, 1) is one vector

r = (a,3) is another vector

The resultant vector is

q+r = (-4,1)+(a,3)

q+r = (-4+a,1+3)

q+r = (-4+a,4)

Multiply both sides by 7

7(q+r) = 7*(-4+a,4)

7(q+r) = (7*(-4+a),7*4)

7(q+r) = (-28+7a, 28)

---------------

Since 7(q+r) = (-35, 28), we know that,

(-28+7a, 28) =  (-35, 28)

which leads to

-28 + 7a = -35

when we equate the x components of each vector. Let's solve for 'a'

-28 + 7a = -35

7a = -35+28

7a = -7

a = -7/7

a = -1

--------------

Check:

q = (-4,1)

r = (a,3) = (-1,3)

q+r = (-4,1)+(-1,3)

q+r = (-4+(-1), 1+3)

q+r = (-5, 4)

7*(q+r) = 7*(-5, 4)

7*(q+r) = (7*(-5), 7*4)

7*(q+r) = (-35, 28)

The answer is confirmed.

Answer:

D. -1

Step-by-step explanation:

edge test

Answer:

Option D

Step-by-step explanation:

17). Area of a sector of a circle = [tex]\frac{\theta}{360}(\text{Area of the circle})[/tex]

                                                  = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]

     Here 'r' = radius of the circle

     From the picture attached,

     r = 10 ft

     θ = 300°

    Area of the sector = [tex]\frac{300}{360}[\pi (10)^{2}][/tex]

                                    = [tex]\frac{5}{6}(100\pi )[/tex]

                                    = [tex]\frac{250\pi}{3}[/tex]

    Area of the sector = [tex]\frac{250\pi}{3}[/tex] ft²

   Therefore, Option (D) will be the correct option.

Answer:

area of greater arc/sector=300/360 ×πr²=5/6 ×π10²=250π/3 ft²

Answer:

w=2

Step-by-step explanation:

Simplifying

4w + -9(6 + -5w) = 44

4w + (6 * -9 + -5w * -9) = 44

4w + (-54 + 45w) = 44

Reorder the terms:

-54 + 4w + 45w = 44

Combine like terms: 4w + 45w = 49w

-54 + 49w = 44

Solving

-54 + 49w = 44

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '54' to each side of the equation.

-54 + 54 + 49w = 44 + 54

Combine like terms: -54 + 54 = 0

0 + 49w = 44 + 54

49w = 44 + 54

Combine like terms: 44 + 54 = 98

49w = 98

Divide each side by '49'.

w = 2

Simplifying

w = 2

Answer:

w has multiple forms

exact w = 53/5

decimal w = 10.6

mixed number w = 10 3/5

5 x 53/5 - 9 = 44

Answer:

nis maigeo/a

Step-by-step explanation:

Answer:

The slope is -3/2 and the y-intercept is 7.

Step-by-step explanation:

hope this helps

Answer:

2*2*2*3*3*7

Step-by-step explanation:

prime facotrization = 2^3 x 3^2 x 7^1

2 x 2 x 2 x 3 x 3 x 7 = 504

Question options:

The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.

We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river

Answer:

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river

Explanation:

Formula to calculate standard deviation = √p(1-p)/n

Given p= population proportion

n= sample size

From the question,

We are given p(population proportion of catfish in the river)= 0.47

n(sample size of fish collected from river) = 25

The standard deviation using the formula above = √0.47(1-0.47)/25

= 0.0998

The 10% condition demands that a sample size be not less than 10% of the population

To check if the 10% condition was met, we know that a river will likely have up to 250 fish in it and so,

10% of 250= 0.10×250=25 fish

Therefore the option B chosen is correct

Answer:

Least Amount Likley: 7800

Favorable:8200

Step-by-step explanation:

Favorable 8000+2.5%

Least 8000-2.5% this is the range

Answer:

Least Amount Likely: 7800

Favorable: 8200

Step-by-step explanation:

Favorable: [tex]8000+2.5[/tex]% [tex]=8,200[/tex]

Least: [tex]8000-2.5%[/tex][tex]%[/tex]% [tex]=7,800[/tex] this is the range

hope this helps:)

Answer:

11902

Step-by-step explanation:

mean=x=60

replace x with 60

y=-7628+325.5(60)

y=11902

Answer:

3.5

Step-by-step explanation:

If you like to round 3.457 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post.

Love, gocry

Answer: (4,2)

Step-by-step explanation:

The solution would be where the two lines intersect which is the point (4,2)

Answer:

(4,2)

Step-by-step explanation:

(x=4, y=2)

the solution is the point of intersection of the graph

Answer:

mid point of circle⭕ is a answer