Suppose y varies directly as x, and y = 7 when x = 2. Find x when y = 21.

Answers

Answer 1

Answer:

Step-by-step explanation:

y = k x X

7 = k x 2

7/2 = k...............1

hence y = 7/2x (substituting eq 1)

y = 21

therefore, x = 2y/7

x = 2 x 21

         7

x = 2 x 3

x = 6    

Suppose Y Varies Directly As X, And Y = 7 When X = 2. Find X When Y = 21.
Answer 2

The required value of x is 6, when y =21 and y directly varies as x.

What is proportion?

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

Given that,

y directly varies as x,

Implies that,

y ∝ x

or y = k x         (1)

When x = 2 and y = 7, from equation (1)

7 = k × 2

k = 7 / 2

To find the value of x when y = 21,

Substitute values of k = 7 /2 and y = 21 in equation (1),

21 = (7 / 2) × x

3 × 2 = x

x = 6

The value of x when y = 21, is 6.

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Related Questions

will somebody help me with this question 9 x 3/4

Answers

Answer:

Improper way: 27/4

Mixed number: 6 3/4

Step-by-step explanation:

To make it easier, put a 1 under the 9. So you get 9/1.

It should look like this:  9/1 x 3/4

Then simply multiply 9 and 3 then 1 and 4.

You get 27/4!

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION RQ PLS!!!!!!!!

Answers

Answer:

10.19 ft

Step-by-step explanation:

Circumference formula

C = 2πr

Solving for radius

64 = 2*3.14rr = 64/2*3.14r = 10.19 ft

For the function f(x) = x + 2, find f-'(x).

Answers

[tex]f(x) = x + 2[/tex]

[tex]y = x + 2[/tex]

Subtract the sides of the equation minus 2

[tex]y - 2 = x[/tex]

So ;

[tex] {f}^{ - 1}(x) = x - 2 [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!

Answers

Answer: you have: C(X)=3x+2.00

x=number of minutes

Pay attention to the y=mx+b form where m=slope-->>

3x is the slope...

so it's 3(times the number of minutes) <<---or (x)

This means that the slope is 3, or the fancy way of saying it-->>"rate of change."

The rate of change of the cost of the taxi ride is $3.00 per minute.

Step-by-step explanation:

Help needed ASAP will give you BRAINLIEST and 5 stars

Answers

Answer:

y-x

Step-by-step explanation:

Answer:

Y=-x

Step-by-step explanation:

Because any other ones have stuff they should.

Simplify: (2x - 5y)(7x-2y)
help plz

Answers

Answer:

14x+10y

Step-by-step explanation:

(2x-5y)(7x-2y)

(2x*7x)(-5y*-2y)

hurry im taking an math summative

Answers

Answer:180 minus 79 is 101

Step-by-step explanation:

HELP! PLS ANSWER!!! 45 points!

Answers

Answer:

the answer is 24

Step-by-step explanation:

36 times 2x is 24

90+36=126

180-126=54

54/2=27

x = 27

Hope you enjoy it! :)

Solve the equation for n
3(n-5) = -21

Answers

Answer:

n=−2

Step-by-step explanation:

Let's solve your equation step-by-step.

3(n−5)=−21

Step 1: Simplify both sides of the equation.

3(n−5)=−21

(3)(n)+(3)(−5)=−21(Distribute)

3n+−15=−21

3n−15=−21

Step 2: Add 15 to both sides.

3n−15+15=−21+15

3n=−6

Step 3: Divide both sides by 3.

Answer: n= -2

Step-by-step explanation:

3(n−5)=−21

Divide both sides by 3.

n−5=  

3

−21

​  

 

Divide −21 by 3 to get −7.

n−5=−7

Add 5 to both sides.

n=−7+5

Add −7 and 5 to get −2.

n=−2

Bo has 56 cards.
What are two ways Bo can stack her cards?
Choose 2 answers:
~ 7 stacks of 8 cards
® 9 stacks of 6 cards
C С
8 stacks of 7 cards
D
6 stacks of 9 cards

Answers

Answer:

c

Step-by-step explanation:

Candance ate 2/3 cup of cereal.The box of cereal states that one serving of cereal is equal to 2/3 cup. Which fraction represents the number of servings Candance ate?

Answers

Answer:

9/8

Step-by-step explanation: Done the problem before in my math class.

Answer:

9/8

Step-by-step explanation:

Candance ate 3/4

Serving is 2/3

Divide: 3/4 divided by 2/3

To divide fractions you multiply the inverse.

3/4 x 3/2 = 9/8  

Hope this helps :)

If i have 2 snickers and my friend takes one what would I have left?
A. 2
B. 1
c. All of the above

Answers

Answer:

1

Step-by-step explanation:

BRAINLEST IF ANSWERED CORRECTLY AND QUICKLY
)Which of these describes how children were treated differently from slaves in the Roman Republic?

Children could own property, but a slave's goods belonged to his master.
Children ate three meals per day, but slaves ate one meal per day.
Free children were allowed to vote, but adult slaves could not.
Male children could go to school, but male slaves could not.

Answers

Answer:

c

Step-by-step explanation:

c

Please help !!! Thanks :)

Answers

Pair 2 is a reflection. If you rotated it it would be flipped, so that doesn’t make sense.

Answer:

reflection/////////

Lou wants to lose weight to audition for a part in a play. He weighs 160 pounds now. He wants to weigh 150 pounds. If p represents the number of pounds he wants to lose, write an equation to represent this situation.

Answers

Answer:

160-p=150

Step-by-step explanation:

160 now - needs to lose = 150 goal

A dime is what fraction of a dollar?

Answers

Answer:

1/10

Step-by-step explanation:

A dime is 1/10 fraction of a dollar.

What are Fractions?

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator. Any number can be expressed as fractions.

We have to convert a dime into a fraction of a dollar.

Number of dimes in a dollar = 10

10 dimes = 1 dollar

1 dime = 1/10 dollar

So we can say that one dime is 1/10 of a dollar.

Hence 1/10 fraction of a dollar is 1 dime.

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Find the value of x so that f(x) = 7.

Answers

Answer:

-2

Step-by-step explanation:

A calculator screen shows a number in scientific notation as 1.16E‒7. Write this number in standard form.

Answers

Answer:

  0.000000116

Step-by-step explanation:

When the exponent is negative, the most-significant digit goes in the number place that is that many places to the right of the decimal point.

Here, the most-significant 1 is in the 7th place to the right of the decimal:

  1.16E-7 = 0.000000116

y=4x-1
if the value of y is 1 what is x

Answers

y= 4x-1
If y is 1, then plug 1 in the equation,
1= 4x-1
Add 1 on both sides,
2= 4x
Divide by 4 on both sides,
x= 4/2
Reduce 4/2 to 1/2
Therefore, x= 1/2

Answer:

[tex]x=\frac{1}{2}[/tex]

Step-by-step explanation:

So we are given the equation:

y = 4x - 1

and we are asked to find the value of x when the value of y is 1.

In other words, what is x when y = 1? To find this, we can plug in 1 for y and solve for x.

1 = 4x - 1

Now solve for x. Add 1 to both sides.

2 = 4x

Divide both sides by 4.

[tex]x=\frac{1}{2}[/tex]

So now we have found that when the value of y is 1, the value of x is 1/2.

I hope you find my answer and explanation to be helpful. Happy studying.

line K bisects HJ if H = (-1,5) and J = (2,-3) find the midpoint

Answers

Answer:

I(1/2;1)

Step-by-step explanation:

if the midpoint is I(x;y)

=> [tex]\left \{ {{y=\frac{5-3}{2}=1 } \atop {x=\frac{-1+2}{2}=\frac{1}{2} }} \right.[/tex]

=> I(1/2;1)

A car dealer paid $21,000 for a car and marked it up by 1/3 of the price he paid.How much did he sell the car for?

Answers

Answer:

$28000

Step-by-step explanation:

Cost of the car = $21000

Mark up = 1/3*21000 = $7000

Sale price = 21000 + 7000 = $28000

Can I please get help with this?

Answers

Answer:

first problem) he messed up at 4(1 + 5n), only multiplying the 1 by 4, instead of both the 1 and 5n,

work-

-8n + 4(1 + 5n) = -6n - 14

-8n + 4 + 20n = -6n -14

12n + 4 = -6n - 14

18n +4 = -14

18n = -18

n= -1

second problem)  he messed up towards the end, where he put 3x = 3x, then x=0. in this case, x would equal x, so the answer is "infinitely many solutions"

all the other work is correct in that problem

third problem) on the right side of the equation, ( 4x+10+3x-6), when they were adding the like numbers, instead of subtracting 6 from 10, they added 6, giving them 16 instead of 4

correct work-

2x - 8 + 3x +2 = 4x +10 + 3x -6

5x - 6 = 7x + 4

-5x         -5x

-6 = 2x +4

-4           -4

-10 = 2x

-5 = x

hope i helped  :)

А
А
w
B
B
B.
Pair 1
Pair 2
Pair 3
1. Which transformation takes Figure A to Figure B in Pair 1: a translation, rotation, on
reflection? [Select)
2. Which transformation takes Figure A to Figure B in Pair 2: a translation, rotation, on
reflection? (Select ]
3. Which transformation takes Figure A to Figure B in Pair 3: a translation, rotation, on
reflection? Select ]

Answers

Answer:

see below

Step-by-step explanation:

Pair 1 is a rotation since we turn figure A into figure B

Pair 2 is a reflection since we flip figure A into figure B over a horizontal line

Pair 3 is a translation since we slide figure A into figure B by moving it down

i need 3,4 please help! it’s due in 10
mins !! 15
points just pls help

Answers

3. The relationship is cups of blue paint to yellow paint
4. The constant of proportionality is 1:5 it represents for every 1 can of blue paint there is 5 cans of blue paint

Solve the equation for n.
5 = -4 + 27/n

Answers

The answer to that question is N=3.

Answer:

n=3

Step-by-step explanation:

The figures are similar. Find the missing length.

Answers

Step-by-step explanation:

Answer:-Given ,

The figure is Similar.

Observation:-

Similar figures have similar sides. If we see carefully in smaller triangle, 3 has been added to each side and they are similar. We need to find y.

We have :-

5+3=8 as similar sides.

So, applying same algorithm,

[tex]y + 3 = 5[/tex]

[tex]y = 5 - 3[/tex]

[tex] \boxed{ \tt{y = 2 \ cm}}[/tex]

is the answer.

Hope it helps :)

Which transformation(s) of circle C prove that circle A is similar to circle C ?

Answers

It similar Because there both in the 2s

Solve the compound inequality and graph your solution on the number line.

I WILL GIVE YOU BRAINILIST IF YOU HELP!!

Answers

Answer:

Step-by-step explanation:

-10<x≤10

Open circle on -10

Closed circle on 10

so the perimeter is 20 one side is y another is 4y-8 and slow the other one. what is the side lengths​

Answers

Answer:

5

Step-by-step explanation:

A theater owner wants to divide a 3300 seat theater into three​ sections, with tickets costing ​$ 60​, ​$70​, and ​$120​, depending on the section. He wants to have twice as many $60 tickets as the sum of the other​ tickets, and he wants to earn ​$ 224,000 from a full house. Find how many seats he should have in each section.

Answers

Answer:

Section A = 2,200 seats

Section B = 800 seats

Section C = 300 seats

Step-by-step explanation:

Three sections

Section A cost = $60

Section B cost = $70

Section C cost = $120

Total seat = 3300

Total earnings = $224,000

He wants to have twice as many $60 tickets as the sum of the other​ tickets

A = 2(B + C)

A + B + C = 3,300

60A + 70B + 120C = 224,000

substitute A = 2(B + C)

2(B + C) + B + C = 3,300

60(2B + 2C) + 70B + 120C = 224,000

2B + 2C + B + C = 3,300

120B + 120C + 70B + 120C = 224,000

3B + 3C = 3,300 (1)

190B + 240C = 224,000 (2)

Multiply (1) by 80

240B + 240C = 264,000 (3)

190B + 240C = 224,000 (2)

Subtract the equations

240B - 190B = 264,000 - 224,000

50B = 40,000

B = 40,000 / 50

= 800

B = 800

Substitute the value of B into (1)

3B + 3C = 3,300 (1)

3(800) + 3C = 3,300

2,400 + 3C = 3,300

3C = 3,300 - 2,400

3C = 900

C = 900 / 3

= 300

C = 300

Substitute values of B and C into

A + B + C = 3,300

A + 800 + 300 = 3,300

A + 1,100 = 3,300

A = 3,300 - 1,100

= 2,200

A = 2,200

Section A = 2,200 seats

Section B = 800 seats

Section C = 300 seats

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