Mathematics College


Y is inversely proportional to x, when Y = 7, x = 4.
True or False: the constant of proportionality, k, is 20.

Answers

Answer 1

Answer:

The given statement  Y = 7, x = 4 is False.

Step-by-step explanation:

We are given:

Y is inversely proportional to x, when Y = 7, x = 4.

We need to tell if the statement is True or False: the constant of proportionality, k, is 20.

Y is inversely proportional to x

We can write it as: [tex]y\:\alpha \:\frac{1}{x}\\y=\frac{k}{x}[/tex]

Now, we need to check when Y=7, x = 4 is true or false

We are given k = 20

Now, I can find value of y, by putting values of k and x in the equation:

[tex]y=\frac{k}{x}\\y=\frac{20}{4}\\y=5[/tex]

When we put x = 4, and k =20, we get Y=5 and not Y=7

So, The given statement  Y = 7, x = 4 is False.

Related Questions

please help me find the answer

Answers

yes. it’s a constant rate of change. the rate of change is +5 number of people for +75 of the cost.

9. Translate the sentence into an equation and solve. Use x as the variable.
The difference between six times a number and four is equal to fifty.

A. 6(x-4) = 50; x = 9
B. 6x - 4 = 50; x = 9
C. 6 +X-4 = 50; x = 12
D. 6x-4 = 50; x = -9

Answers

Answer:

Option B: 6x-4=50; x=9 is the correct answer.

Step-by-step explanation:

Given that:

x is the variable used for number.

6 times a number means 6x and difference means subtraction.

Thus according to given statement;

6x - 4 = 50

Adding 4 on both sides

6x - 4 + 4 = 50+4

6x = 54

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{54}{6}\\x=9[/tex]

Hence,

Option B: 6x-4=50; x=9 is the correct answer.

Look at the arrows in the drawings below. Indicate whether the arrows are parallel, perpendicular, or neither.

Answers

Answer:

In A and D the arrows are perpendicular, in B they are parallel and in C they are neither parallel nor perpendicular.

Step-by-step explanation:

PLEASE HELP!!!! WILL GIVE POINTS

Answers

Answer:

3.0

Step-by-step explanation:

5. Skylar got a manicure for $25. If she plans to
tip 20%, how much is her tip?

Answers

Answer:

$5.00

Step-by-step explanation:

All we have to do is multiply 25 x 1/5 or 20%

25 x 1/5 = $5.00

to check, $5 x 5 = 25

$5.00 would be the tip. (take 25 x 0.2 = 5, therefore 20% of 25 would be 5)

PLEASE HELP!!! A group has at most $140 to spend on an event space. The inequality 15h + 40 140 represents the cost to rent the space, where ​h ​represents the number of hours the group can rent the space, and 40 represents the set up fee. Solve and graph the inequality to determine the number of hours they can utilie the room.

Answers

9514 1404 393

Answer:

  h ≤ 6 2/3

Step-by-step explanation:

The inequality is presumed to be ...

  15h +40 ≤ 140

  15h ≤ 100

  h ≤ 6 2/3

__

The graph shows h ≥ 0, because the inequality is only reasonable for h ≥ 0.

If a is a positive integer such that a =
?
(-16) *(-16) * (-16) * (-16), what is the value of va

Answers

65536 is the Answer which is positive

PLEASE HELP 8 ml of a 80% acid solution was mixed with 12 ml of a 20% acid solution. What is the percentage of acid in the new solution?

Answers

Answer:

44%

Step-by-step explanation:

So you have 2 bottles. One bottle is 8ml and is 80% acid. the other is 12 ml and is 20% acid.

This means there's 6.4 ml of acid in bottle 1(8*0.8) and 2.4 ml of acid in the other one(12*0.2).

The total amount of liquid is 8+12 = 20

The total amount of acid is 6.4+2.4 = 8.8

Percentage of acid in the new solution is 8.8/20 = 0.44 = 44%

If the exchange rate is 1 Euro to .80 pounds, how many pounds would you spend to purchase something that costs 30 Euros

Answers

Step-by-step explanation:

If the exchange rate is 1 Euro to 0.80 pounds

So,

30 Euro=0.8×30=24.0=24 pounds.

so,

24 pounds would you spend to purchase something that costs 30 Euros

Write the expression below as a product of two factors 6m +8n + 4

Answers

Answer: 2(3m+4n+2) is the answer

Explanation: because I’m smort;)

Find the circumference of a circle with the radius 13.4 feet. Round your answer to two decimal places.

Answers

Step-by-step explanation:

circumference = 2πr

π = 3.14

r = 13.4

2 × 3.14 × 13.4 = ¯\_(ツ)_/¯

Part B Write an expression based on Hayley’s method to find the total number of pieces of fruit.

Answers

Answer:

3x + 3y

Step-by-step explanation:

3x (x being the number of apples)

3y (y being the number of bananas)

Which of the following describes the pattern in
terms of the sequence?

Answers

Answer: let's try the Second one ( sorry if i get it wrong)

Step-by-step explanation:

Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on. The notation a 1, a 2, a 3,… a n is used to denote the different terms in a sequence. The expression a n is referred to as the general or nth term of the sequence.

Answer:

it is the first one

Step-by-step explanation:

HELP PLEASE ASAP!!!!!

Answers

Answer:

1 1/2 cups of flour :))

Step-by-step explanation:

Answer:

2 5/8 cups ur welcome

you convert  1 3/4 to improper fraction so 7/4. then divide 7/4 by 2 which is 0.875. 0.875+7/4= 2.625 which is 2 2/3.

You bought a car that had factory installed tires marked as "P185 75/R14". You bought and installed tires on your car that are marked "P205 75/R14". What is the circumference of the P185 tire?
A) 24.93 inches
B) 27.93 inches
C) 78.31 inches
D) 81.99 inches

Answers

D is the right answer I think

Which answer choice shows an inequality that represents the problem below? Marcus needs more than 550 tickets to get the prize he wants at the arcade. He already has 125 tickets and can earn 24 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?
24x + 125 > 550
24x + 125 >_ 550
24x + 125 < 550
125x + 24 > 550​

Answers

Answer: 24x + 125 > 550

Step-by-step explanation:

11. Jeremy ran 14 races. Each race was 5 kilometers long. Approximately
how many miles did Jeremy run altogether in the races? (1 kilometer
0.62 mile)
A 43 miles
B. 70 miles
C 113 miles
D
200 miles

Answers

Answer: B

Step-by-step explanation:

It will be B-70 because 14x5=70 hope this helps

If the ratio between boys and girls is 3 to 2 if there are 12 boys how many girls are there

Answers

Answer:

the ratio is 12:8 boys to girls

Step-by-step explanation:

if the amount of boys is 12 then multiply the 3 by 4 and using distribution multiply the 2 by 4 as well to get 8 girls

Ski rental at Swinter a mountain resort is $40, and S is the price of the lift ticket. Write an expression to show the cost you lift tickets without ski rental and three left tickets with ski rental. Simplify your expression

Answers

Answer:

100

Step-by-step explanation:

Answer:95.12

Step-by-step explanation:trust me

Graph x > -3. Please help soon!!! Thanks!!!!!

Answers

Answer: ok....

Step-by-step explanation:

M is a directly proportional to r cubed when r=4 M=160
1) work out the value of M when r=2
2) work out the value of r when M=540

Answers

Answer:

1) When r = 2, M = 20.

2) When M  = 540, r = 6.

Step-by-step explanation:

M is a directly proportional to r cubed

This means that the equation for M has the following format:

[tex]M = ar^3[/tex]

In which a is a multiplier.

When r=4 M=160.

We use this to find a. So

[tex]M = ar^3[/tex]

[tex]160 = a(4^3)[/tex]

[tex]64a = 160[/tex]

[tex]a = \frac{160}{64}[/tex]

[tex]a = 2.5[/tex]

So

[tex]M = 2.5r^3[/tex]

1) work out the value of M when r=2

[tex]M = 2.5*2^3 = 2.5*8 = 20[/tex]

When r = 2, M = 20.

2) work out the value of r when M=540

[tex]M = 2.5r^3[/tex]

[tex]540 = 2.5r^3[/tex]

[tex]r^3 = \frac{540}{2.5}[/tex]

[tex]r^3 = 216[/tex]

[tex]r = \sqrt[3]{216}[/tex]

[tex]r = 6[/tex]

When M  = 540, r = 6.

Steve began a baseball card collection by purchasing some cards. He increased the number of cards in the collection by a constant amount each week after that. The table below shows the total number of cards in the collection at the end of several weeks. How many cards did Steve initially purchase to begin his collection

Answers

Answer:95

Step-by-step explanation:

95x3=285

There are 95 cards did Steve initially purchase to begin his collection.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Steve began a baseball card collection by purchasing some cards.

And, He increased the number of cards in the collection by a constant amount each week after that.

Now, In 3 weeks he collect 285 cards.

Hence, Number of cards to collect in initially is,

⇒ 285/3

⇒ 95

Thus, There are 95 cards did Steve initially purchase to begin his collection.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

In triangle ABC, m∠A = 36°, m∠B = 84°, and m∠C = 60°. The side lengths, in order from greatest to least, are

Answers

Answer:

AC ; AB ; BC

Step-by-step explanation:

Recall that largest angles will oppose largest sides in a triangle, therefore, the angles in order of greatest to smallest are:

<B (84); <C (60);  <A (36)

Their opposite sides will keep the same order from largest to smallest:

AC ; AB ; BC

The side lengths, in order from greatest to least, are

AC

AB

BC

HELP ASAP! WILL GIVE BRAINLIEST!

Which statements below are ALWAYS TRUE about Rectangles? Choose ALL THAT APPLY.

- Diagonals are perpendicular

- Diagonals bisect each other in diagonals are equal in length

- Diagonals bisect each other, but they are NOT equal in length

- Opposite sides are congruent

- All four sides are congruent

- Diagonals bisect 90° angles

- Diagonals DO NOT bisect 90° angles

Answers

-diagonals are perpendicular
-diagonals bisect eachother are equal length
-all 4 sides are congruent
-diagonals bisect in 90 degree angles
-Diagonals are perpendicular
-Diagonals bisect each other, are equal in length
-Opposite sides are congruent
-Diagonals bisect 90° angels

I’m sorry if one of these are wrong

Solve the following quadratic equation by factoring.
f (x) = -x^2-11x – 28

Answers

Answer:

(-x-7)(x+4)

Step-by-step explanation:

solve for (0)
12
15
Round to the nearest hundredth

Answers

Answer:

.014

Just trust me, you know I have your back

Ms. Neil has 25% of her class who have turned in their reading logs. 7 students have
turned in their logs. Enter the total number of students in her class.

Answers

Answer:28

Step-by-step explanation:

25% × x = 7

Multiplying both sides by 100 and dividing both sides by 25,

we have x=7 x 100/25

7×100÷25

x=28

The area of Neil's sqaure bedroom is 256 feet2. what is the length of any sidewall in his bedroom

Answers

Answer: 64 ft for each wall in his bedroom..

Step-by-step explanation: 256 divide 4 = 64.

To practice for an Ironman competition, John swam 0.86 kilometer each day for 3 weeks. How many meters did he swim in those 3 weeks?

Answers

Step-by-step explanation:

rhehdjvjdjdisjfjehsugjdjsjcjfi

Answer:

18,060

Step-by-step explanation:

0.86 kilometers is the same as 860 meters. If he swam 860 meters a day for twenty-one days, (860 times 21) he'd end up with 18,060 meters in total.

(That's about 722 1/2 lengths of a pool, but you didn't need to know that :P )

Is (−2,−6) a solution of y<7x+8y?

Answers

Yes it it’s hope this helps

Answer: no

Step-by-step explanation: Khan says no because

Let's plug (−2,−6) into the inequality.

y< 7x +8

(-6) < 7 (-2) +8

-6≮−6

​

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