When a 49 pound weight is attached to a spring, the spring
stretches 7 inches. Assume that the length of the spring y varies directly
with the weight attached x. Write and solve a direct variation equation to
find the length of the spring when a 63 pound weight is attached.

Answers

Answer 1

im not for sure but I think the answer is 9! my reasoning is below,,

Step-by-step explanation:

[tex] \frac{49}{7} = \frac{63}{x} [/tex]

do the crossing method and it would result in this

(49×x) = (63×7)

after simplifying both sides

49x = 441

divide both sides by 49 and the result will be

x = 9 !!


Related Questions

Find the diameter of a circle whose circumference is 74cm

Answers

Answer:

≈ 24 cm

Step-by-step explanation:

Hi there !

c = 2πr  } => c = πd => d = c/π

2r = d

replace c ; π

π  =3.14

d = 74cm/3.14

= 23.5668

≈ 24 cm

Good luck !

PLEASEEWW HELPPP WILL MARK BRAINLIESTTT
Which sequence of rigid motions will definitely work to take triangle GHJ onto triangle STU?

A.) Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.

B.) Translate GHJ by the directed in segment GS. Translate G’H'J by the directed line segment H'T. Translate G"H"J" by the directed line segment J"T.

C.) Translate GHJ by the directed line segment GS. Rotate G’H'J using S as the center by angle H'ST Reflect G"H"J" over ST.

D.) Translate GHJ by the directed line segment GT. Rotate G’H'J using T as the center by angle H'ST. Reflect G"H"J over ST.

Answers

The answer is A I think

The correct option is A. Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.

There are four types of rigid motions that we will consider translation , rotation, reflection, and glide reflection.

Here we have to rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.

Hence option A is correct that is Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.

For more details on Rotation follow the link:

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A sewing kit includes a spool that holds 24 yards of thread

How many inches of thread does the spool hold (1 yard = 3, 1 foot = 12 inches)

Answers

Answer:

864 inches

Step-by-step explanation:

12*3=36

36*24=864

A sewing kit includes a spool that holds 864 inches of thread.

Given that,
A sewing kit includes a spool that holds 24 yards of thread, how many inches of thread does the spool hold is to be determined.

What is standard measurement?

All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.

here,
1 yard = 3, 1 foot = 12 inches
So,
24 yard = 24 [3] feets
24 [3] feet = 24 [3] [12] inches = 864 inches

Thus, A sewing kit includes a spool that holds 864 inches of thread.

Learn more about measurements here:

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Answer the real-world problem below. Then, decide whether the answer is the GCF or the LCM. A local radio station is celebrating its 10th year on the air and is giving away prizes to callers. It is giving away a $10 bill for every 10th caller. It is also giving away free digital albums to every 8th caller. How many callers will call the radio station until someone wins both a $10 bill and a free digital album?

Answers

Answer:

LCMit will take 80 calls

Step-by-step explanation:

The solution  is  LCM

the least common multiple of 10 and 8 are

10=10,20,30,40,50,60,70,80,90,........

8= 8,16,24,32,40,48,56,64,72,80,88..........

The least common multiple is 80

therefore it will take 80 callers to call in to win both the bills

kindly let me know if you need further clarification on this

Regards

its like a word question?
The product of negative three and a number is equal to the sum of the number and four.

Answers

Answer:

-3+x=x+4

Step-by-step explanation:

Pls Mark Brainliest

Answer:

x = -1

Step-by-step explanation:

-3×x = 4+x

-3x-x = 4

-4x = 4

x = 4 ÷ -4

x = -1

Solve for x: 3x + 2 = 11

Answers

Answer:

x = 3

Step-by-step explanation:

3 x 3 + 2 = 11  Because 3x3 = 9 and 9 + 2 = 11

I hope this helps!

Answer:

x=3

Step-by-step explanation:

3x+2=11

(subtract 2 on both sides)

3x=9

(divide by 3 on both sides)

x=3

help me plz thx alot

Answers

It is 180 degrees- hope this helps!

round 0.532 to the nearest hundredth​

Answers

The answer is 0.53

This is because the second digit (in the decimal range) is in the hundredths.

3(2x + 7) - 2 (x + 5)

Answers

6x+21-2(x+5)
6x+21-2x-10
4x+21-10
Answer:4x+11

Please answer this as SOON as posible!!
In a recent year, 23% of all college students were enrolled part-time. If 6.2 million college students were enrolled part-time that year, what was the total number of college students?

Answers

Answer:

17,222,222

Step by Step Solution:

If 26% equals 6,200,000, then

1% equals 6,200,000/23, and

100% equals (6,200,000/23)*100 = 17,222,222.222222222222222222222222

Hence, there were about 17,000,000 (seventeen million) students.

To be a bit closer to the number, there where about 17,222,222 students.

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3995 to rent trucks plus an additional fee of $225.75 for each ton of sugar. The second company charges $5500 to rent trucks plus an additional fee of $150.50 for each ton of sugar.

Answers

Given :

The Sugar Sweet Company will choose from two companies to transport its sugar to market.

The first company charges $3995 to rent trucks plus an additional fee of $225.75 for each ton of sugar.

The second company charges $5500 to rent trucks plus an additional fee of $150.50 for each ton of sugar.

To Find :

How, many tons of sugar will cost same in both companies.

Solution :

For company 1 :

P1 = (225.75)x + 3995

For company 2 :

P2 = (150.50)x + 5500

For same cost :

P1 = P2

(225.75)x + 3995 = (150.50)x + 5500

x( 225.75 - 150.50 ) = ( 5500- 3995)

x( 75.25 ) = 1505

x = 20

Therefore, 20 tons of sugar will cost same.

Hence, this is the required solution.

55.6666666667 as a fraction

Answers

Answer: Step-by-step explanation:

What is 5.56666666667 as a fraction?

To write 5.56666666667 as a fraction you have to write 5.56666666667 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

5.56666666667 = 5.56666666667/1 = 55.6666666667/10 = 556.666666667/100 = 5566.66666667/1000 = 55666.6666667/10000 = 556666.666667/100000 = 5566666.66667/1000000 = 55666666.6667/10000000 = 556666666.667/100000000 = 5566666666.67/1000000000 = 55666666666.7/10000000000 = 556666666667/100000000000

And finally we have:

5.56666666667 as a fraction equals 556666666667/100000000000

Sean was at batting practice. He swung 25 times but only hit the ball 15 times. Write the simplified ratio for how many times Sean swung the bat compared to how many times he hit the ball.

Answers

Answer:

25:15

Step-by-step explanation:

What is the slope of a line parallel to the line whose equation is 9x – 3y = 81. Fully
reduce your answer.

Answers

Answer:

Ok so right now that is in standard form (Ax+by=C) and we want to get this into y=mx+b form so that we can easily identify the slope. To do that we need to get y alone by folowing these steps:

9x-3y=81

9x-9x-3y=81-9x (in this step we are just getting rid of the x's from the left side so we can get y alone but since we subtract x from that side we need to subtract the same amount of x's on the other)

-3y=81-9x

-3y/-3=81-9x/-3 (finally to get y alone we need to divide by a -3. This is because any negative number multiplied or divided by another negative will give us a positive. If we divide by 3 then y will be negative which is incorrect. We have to divide by -3 on each side)\

y=81-9x/-3 -----> y=-27+3x ( in this part we have to divide everything on the right side of the equation by -3 as we did on the left side. 81/-3 = -27 and -9x/-3 = +3x.

our new equation is y=-27+3x although the proper form is y=mx+b.

all we need to do now is flip the 3x and -27 for this equation to match y-mx+b form. M in the equation represents the slope of an equation.

y=-27+3x---> y=3x-27

in this equation 3 is m and m represents the slope. For an line to be parralel to one another they must have the same slope. Therefore the slope of a line parallel to that equation is 3.

Step-by-step explanation:

The Slope of a line parallel to the line whose equation is 9x – 3y = 81 is 3.

What is the Slope of a line?

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

Given that the slope of a line parallel to the line whose equation is

9x – 3y = 81

Reducing the Equation in form of y = mx + c, where m is the slope,

9x - 3y = 81

3y = 9x - 81

y = 3x - 27

Since, two line when parallel have equal slope, so the slope of the given line is 3.

Hence, The Slope of a line parallel to the line whose equation is

9x – 3y = 81 is 3.

For more references on The Slope, click;

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5(n-3)????????????!!!!!!!!

Answers

Answer:

5n-15

Step-by-step explanation:

[tex]5(n-3)[/tex]

Expand

[tex]5\times n = 5n\\\\5\times -3 =-15\\\\5n -15[/tex]

Please help me! Is the ordered pair, in the form (x, y) x , y , a solution of the equation below?
Ordered Pair: (−1, −12)
Linear Equation: 4x − y = 8
options:
True
False

Answers

The answer is true because 4 times -1 equals-4. Then -4 minus -12 you would flip the sign to a plus sign and -12 to a positive and -4+12 equals 8.

True or false don’t lie

Answers

Answer:

t

Step-by-step explanation:

falseeeeeeeeeeeeeeeeeeeeee

What is 6.92 x 10-3 written in standard form?

Answers

Answer:

6.92000

Step-by-step explanation:

because it has to be between q and 10

Solve the system of equations. y=4x+5 and y=3x-2, what's the solution​

Answers

Answer:

x = -7 y=-23

Step-by-step explanation:

2 + 4s >10 aanswer ​

Answers

Answer:

s>2

Step-by-step explanation:

2 + 4s >10

First, subtract 2 on both sides.

2 + 4s >10

-2         -2

4s>8

Divide by 4 on both sides to isolate x.

4s>8

/4  /4

s>2

Hope this helped you out! Have a great day c:

340 equals 72 more than y
Write the sentence as an equation.

Answers

Answer:

y+72=340

Step-by-step explanation:

You start at (4,4). You move up 1 unit and left 7 units. Where do you end?

Answers

Answer: i believe it would be (-3 , 5)

Step-by-step explanation:

Correct me if im wrong

Answer:

(-3, 5)

Step-by-step explanation:

I could be mistaken, but I'm pretty sure it's that. You may want to graph the point yourself and double-check just to make sure.

Charlotte is working two summer jobs, making $18 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she can work at most 15 total hours and must earn a minimum of $150. If Charlotte worked 5 hours walking dogs, determine the minimum number of whole hours lifeguarding that she must work to meet her requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

the answer is 6.6 or at estimation 7

Answer:7

Step-by-step explanation:

One year ago, a tiger cub was 5 feet shorter than its mother. However, it grew 2 feet, and now its mother is only twice its size. How big was the tiger cub one years ago?

Answers

Answer:

1 foot

Step-by-step explanation:

Since the cub is 1 foot, that means the mother is 6 ft.

Assuming that the mother does not grow and the cub grows 2 feet, a year later the cub is 3 feet and the mother is 6 feet.

3 is half of 6, meaning the mother is twice the cub.

Solve the following problem. A toolbox has 10 screwdrivers and 6 wrenches. Bella puts 8 more wrenches in the toolbox. How many more wrenches are in the toolbox than screwdrivers? » There are more wrenches than screwdrivers. ✓ DONE​

Answers

Answer:

there are 4 more. hope this helps

Answer: 4 more wrenches than screwdrivers.

Step-by-step explanation: 6 + 8 = 14. 14 > 10 by 4.

Helppppppp!!!!!!!!??????

Answers

Answer:

5/10

Step-by-step explanation:

8.h=7
108 18 what is h

Answers

Answer:

its 8.7× 108 18

Step-by-step explanation:

ye thats basically it solve it now

4(x + 1) – 2 = -6



Help please thx

Answers

Answer:

x=-2

Step-by-step explanation:

Answer:

the answer is 4

Step-by-step explanation:

stolz dies by Raza cgm Issa Ask hz

PLS HELP
A. Alternate interior angles
B. Vertical angles
C. Supplementary angles
D. Alternate exterior angles

Answers

Answer:

b or c

Step-by-step explanation:

Answer:

A. Angles 4 and 5 are Alternate Interior Angles.

HELP WILL MARK BRAINLIEST

Answers

the answer is Graph D!

Answer: d

brainliest plz

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