If x and y vary directly and x=25 when y=100 find x when y=24.
PLEASE HELP FASTTTTTTT

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 25 when y = 100 , then

100 = 25k ( divide both sides by 25 )

4 = k

y = 4x ← equation of variation

When y = 24 , then

24 = 4x ( divide both sides by 4 )

6 = x


Related Questions

School
PLEASE HELP WITH THIS QUESTION: One week Tony bought 6 soft shell tacos and 2 hard shell tacos for $12. The next week he bought 3 soft shell tacos and 1 hard shells tacos for $6. Write a system to find the cost for each type of taco. Explain your answer.

Answers

The soft shell tacos cost a dollar and the hard shell cost three dollars so in algorithm 3x2 equals 6 plus 6x1 equals 12 combined. So the hard shell cost 3$’s while the soft shell cost 3$’s

The quadrilaterals JKLM and PQRS are similar.
Find the length x of PQ.
P
3
27
M
s
6
x
3.6
K
5
R
45

Answers

Answer:

I believe the answer is 45.

Step-by-step explanation:

This is just my opinion. However I could be wrong.

Answer:

5.4

Step-by-step explanation:

Scale factor = 2.7/3 = 0.9

x = 6*0.9 = 5.4

Henry drove 567 miles in 9 hours. At the same rate, how long would it take him to drive 315 miles?

Answers

Answer:

in one hour = 567÷9

= 63

hence, to drive 315 miles he would need = 315×63 hours

divide yourself my dear friend.

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Answer:

5 hours.

Step-by-step explanation:

567/9 = 63mph

315/63 = 5

16 is the geometric mean of 8 and what other number n

Answers

9514 1404 393

Answer:

  32

Step-by-step explanation:

The geometric mean relation says ...

  16 = √(8n)

  256 = 8n . . . . . square both sides

  32 = n . . . . . . . . divide by 8

The other number n is 32.

HELPPPPPPPPP!! ASAP IT WOULD BE GREATLY APPRECIATED

Answers

Answer:

I believe option 4

Megan is planning to make dinner for a group of friends. She wants to make each person a personal pizza. It takes Megan 3 minutes to prepare a personal pizza with toppings. The function P(f) = 3f represents the time it takes to prepare the pizzas, where f is the number of friends attending her dinner party.
The function C(f) = 30 represents the time to cook the pizzas since it will take Megan 30 minutes regardless of how many friends attend..
Which expression represents how long it will take Megan to prepare and cook the pizzas

A. P(f) + C(f)
B. P(f) – C(f)
C. P(f) ∙ C(f)

Answers

Answer:

The answer is A

Step-by-step explanation:

You are adding the time it takes to make a pizza so it isn't B or C

Mrs. Corbett signed 1/2 of all the holiday cards and Mr. Corbett signed 3/8 of all of them. Mrs. Smith will sign the rest of them. If there were 32 cards in all, how many are left to be signed by Mrs. Smith?

Answers

Answer:

4 cards

Step-by-step explanation:

1. Approach

First, find how much ([tex]\frac{1}{2}[/tex]) of all the holiday cards is. Then find out how much [tex]\frac{3}{8}[/tex] of all the cards is. After doing so, subtract both amounts from the total number of holiday cards.

2. Find out how many were signed

To find out how much a fraction of a certain value is, multiply the fraction by the value.

[tex]32*\frac{1}{2}=16\\\\32*\frac{3}{8}=12[/tex]

3. Find out how many were left

Now subtract the number of signed cards from the total number of cards.

[tex]32 -( 16 + 12)\\\\= 32 - 16 - 12\\\\= 16 - 12\\\\= 4[/tex]

At cycle and sport, customers can rents bikes, electric scooters, kayaks, canoes, or paddle boards by the hour. Mr Thompson is renting a kayak and a paddle board for his family. He has a coupon for $10 off. Which expression represents the total cost for Mr. Thompson to rent a kayak for k hours and a paddle board for p hours..

Answers

Answer: its 18k+22p-10!

Step-by-step explanation:

I did the test got it correct, PLS MARK BRAINLIST

Hence, the total cost for Mr. Thompson to rent a kayak for [tex]k[/tex] hours and a paddle board for [tex]p[/tex] hours is [tex]18k+22p-10![/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

At cycle and sport, customers can rents bikes, electric scooters, kayaks, canoes, or paddle boards by the hour. Mr Thompson is renting a kayak and a paddle board for his family. He has a coupon for $[tex]10[/tex] off.

So,the total cost for Mr. Thompson to rent a kayak for [tex]k[/tex] hours and a paddle board for [tex]p[/tex] hours is [tex]18k+22p-10![/tex].

Hence, the total cost for Mr. Thompson to rent a kayak for [tex]k[/tex] hours and a paddle board for [tex]p[/tex] hours is [tex]18k+22p-10![/tex].

To know more about the equation

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How many degrees is Angle 1?
1
1
30
80

Answers

Answer:

angle 1 is 30 degrees

Answer:

80 is the correct ansqer


HELP ASAP DUE IN 20 MINUTES

Answers

Answer:

x = 3

< D = 26

< E = 54

Step-by-step explanation:

I did the math

letter d is 7 someone help me please!!!!

Answers

Answer:

The answer is A. -7

Step-by-step explanation:

76 + 41 = 117

117 + 70 = 187

187- 7 = 180

Hope this helps

Answer:

A -7

Step-by-step explanation:

the angles of a triangle add up to 180

76+41+70 = 187-7 180

Número de departamento vendidos en un edificio cualitativa o cuantitativa.​

Answers

Answer:The nucleus / large central vacuole contains

genetic material of a eukaryotic cell.

Step-by-step explanation:The nucleus / large central vacuole contains

hey can u answer my math question look atbthe picture to see
the pic.​

Answers

Answer:

4 3/4 yards

Step-by-step explanation:

5 1/4 + 2 1/2 = 7 3/4

(1/2 is equal to 2/4)

12 1/2 - 7 3/4 = 4 3/4

Hope this helps, mark me brainliest if it does! :)

Answer:

[tex]4\frac{3}{4} [/tex]

Jotted Solution:

Which expressions are equivalent to 56x + 24 divided by 8?


A.7x + 24


B.56x + 24

8


C. 8(24 + 56x)


D.3x + 7


F.3 + 7x

Answers

The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (56x + 24) / 8

Simplify the expression, then we have

⇒ (56x + 24) / 8

⇒ (56/8)x + 24/8

⇒ 7x + 3

The expression (56x + 24) / 8 is equivalent to the expression will be 7x + 3. Then the correct option is F.

More about the equivalent link is given below.

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An expression equivalent to 56x + 24 divided by 8 is 3x+7. So, option F. is correct.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given the following expression:

56x + 24

It is required to divide the given expression by 8,

Thus, dividing the expression by 8 as follows:

[tex]\dfrac{56x+24}{8}\\\\\dfrac{56x}{8}+\dfrac{24}{8}\\\\7x+3[/tex]

Thus, 3+7x is the expression equivalent to 56x + 24 divided by 8. So, option F is correct.

Learn more about mathematical operation, here:

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At a sale, dresses were sold for $192 each. This price was 96% of the dress's original price. How much did a dress originally cost?​

Answers

Answer:

$199.68

Step-by-step explanation:

You would have to find 4% of 192.

That is 7.68.

192+7.68=199.68.

What is the slope and the y-intercept of a line whose equation is y=-4x-7
A. slope = -4; y-intercept = 7
B. slope = 4; y-intercept = -7
C. slope = -4; y-intercept = -7
D. slope = -7; y-intercept = -4

Answers

compare the equation with the formula y=mx+c and you will get the value of slope and the y intercept.

For example - y= 3x +4

On comparing y=mx+c  

We will get m= 3 and

y intercept = 4

What in a region can be affected by latitude, topography, altitude and closeness to a large body of water, jet streams and surface currents?

Answers

Answer:

Hey!

Step-by-step explanation:

Latitude, or how far one is from the equator, greatly affects the climate and weather of an area. If you live close to the equator, the climate will be warmer, while moving north or south from the equator brings a cooler climate. Altitude, or how high one is above sea level, has a similar effect–the higher the elevation, the colder the climate.

Hope this helps! :)

Have a nice day♥

1/6(x + 6) = 11 What is x

Answers

Answer:

x = 60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

[tex]\frac{1}{6}[/tex](x+6)=11

[tex]\frac{1}{6}[/tex]x + 1 = 11

[tex]\frac{1}{6}[/tex]x +1 -1 = 11 -1

[tex]\frac{1}{6}[/tex]x * 6 = 10 *6

x = 60

To double check

[tex]\frac{1}{6}[/tex](60+6)=11

10+1 = 11

11 = 11

Write 6 ,7,8,9 or 10 and 12

Answers

Answer:

9

Step-by-step explanation:

A postulate is something in geometry that must be proven true before you can use it.

Answers

Answer:

Statements Reasons

AB¯¯¯¯¯¯¯¯≅BC¯¯¯¯¯¯¯¯ Given

∠ADB and ∠CDB are right angles Given

ΔADB and ΔCDB are right triangles definition of right triangles

BD¯¯¯¯¯¯¯¯≅BD¯¯¯¯¯¯¯¯ reflexive property

ΔADB≅ΔCDB HL≅

AD¯¯¯¯¯¯¯¯≅DC¯¯¯¯¯¯¯¯ CPCTC (corresponding parts of congurent triangles must be congurent)

Step-by-step explanation:

Most of the geometry concepts and theorems that are learned in high school today were first discovered and proved by mathematicians such as Euclid thousands of years ago. Given that these geometry concepts and theorems have been known to be true for thousands of years, why is it important that you learn how to prove them for yourself?

Theorems and Proofs

In geometry, a postulate is a statement that is assumed to be true based on basic geometric principles. An example of a postulate is the statement “through any two points is exactly one line”. A long time ago, postulates were the ideas that were thought to be so obviously true they did not require a proof. A theorem is a mathematical statement that can and must be proven to be true. You've heard the word theorem before when you learned about the Pythagorean Theorem. Much of your future work in geometry will involve learning different theorems and proving they are true.

What does it mean to “prove” something? In the past you have often been asked to “justify your answer” or “explain your reasoning”. This is because it is important to be able to show your thinking to others so that ideally they can follow it and agree that you must be right. A proof is just a formal way of justifying your answer. In a proof your goal is to use given information and facts that everyone agrees are true to show that a new statement must also be true.

Suppose you are given the picture below and asked to prove that AD¯¯¯¯¯¯¯¯≅DC¯¯¯¯¯¯¯¯. This means that you need to give a convincing mathematical argument as to why the line segments MUST be congruent.

 

Here is an example of a paragraph-style proof. This is similar to a detailed explanation you might have given in the past.

AB¯¯¯¯¯¯¯¯≅BC¯¯¯¯¯¯¯¯ because it is marked in the diagram.  Also, ∠ADB and ∠CDB are both right angles because it is marked in the diagram.  This means that △ADB and △CDB are right triangles because right triangles are triangles with right angles.  Both triangles contain segment BD¯¯¯¯¯¯¯¯.  BD¯¯¯¯¯¯¯¯≅BD¯¯¯¯¯¯¯¯ because of the reflexive property that any segment is congruent to itself.  △ADB≅△CDB by HL≅ because they are right triangles with a pair of congruent legs and congruent hypotenuses.  AD¯¯¯¯¯¯¯¯≅DC¯¯¯¯¯¯¯¯ because they are corresponding segments and corresponding parts of congruent triangles must be congruent.

There are two key components of any proof -- statements and reasons.

The statements are the claims that you are making throughout your proof that lead to what you are ultimately trying to prove is true. Statements are written in red throughout the previous proof.

The reasons are the reasons you give for why the statements must be true. Reasons are written in blue throughout the previous proof. If you don't give reasons, your proof is not convincing and so is not complete.

When writing a proof, your job is to make everything as clear as possible, because you need other people to be able to understand and believe your proof. Skipping steps and using complicated words is not helpful!

There are many different styles for writing proofs. In American high schools, a style of proof called the two-column proof has traditionally been the most common (see Example 3). In college and beyond, paragraph proofs are common. An example of a style of proof that is more visual is a flow diagram proof (see Example 4). No matter what style is used, the key components of statements and reasons must be present. You should be familiar with different styles of proof, but ultimately can use whichever style you prefer.

Learning to write proofs can be difficult. One of the best ways to learn is to study examples to get a sense for what proofs look like.

Answer:

False

Step-by-step explanation:

It doesn't need to be proven in order to be used. We can just assume the postulate is true.

Jesse wants to have $ 500,000 in his IRA when he retires in 40 years. He is able to invest in an IRA that will yield 2 % compounded monthly. How much will Jesse need to invest into his IRA each month to reach his goal?
P=B(r/n)/(1+r/n)^nt-1
A. $ 374.69
B. $ 436.72
C. $ 556.69
D. $ 680.79

Answers

Answer:

Your answer is D.

Step-by-step explanation:

Si una persona compra diariamente 2 1/2 de carne ¿Cuántos kilogramos de carne habrá comprado en 6 días? -15 kilos -16 kilos -17 kilos -20 kilos

Answers

Answer:

Kg de carne= 15 kg

Step-by-step explanation:

Dada la siguiente información:

Una persona compra 2.5kg de carne por día.

Tenemos que calcular cuántos kg de carne compra en 6 días. Para esto debemos usar la siguiente formula:

Kg de carne= kg por día*cantidad de días

Kg de carne= 2.5*6

Kg de carne= 15 kg

find the slope of the line y = 4/3x - 2/3

Answers

Answer:

4/3

Step-by-step explanation:

Line equations are of the format:

y = m*x + b

((m is slope; b is y-intercept))

So this line has a slope of 4/3 and a y-intercept of -2/3.

epic math question that i cant solve

Answers

the area of the shaded region can be found by subtracting the area of the inside rectangle from the outside rectangle

area of outside: 6 X 10y —> 60y
area of inside: 3 X 5x —> 15x

so the area of the shaded region is 60y-15x

the GCF is 15, so the factored form is: 15(4y-x)

WHO HAS READ THE PEARL, BY JOHN STEINBECK( IN NEED OF HELP FAST) EMMERGENCY

Answers

Answer:

me me me omg

Step-by-step explanation:

can somebody please help kinda low on point so i would be greatful for real answers no fake!

Answers

Answer:

I think it would be the Thrid Option if its talking about a Can of Soup. Most cans Of soup are measured in Ounces for Whats contained inside.

i think it’s letter c

The area of a square field is (49m^2 - 42m + 9) square units. find the dimensions of the field. ( STEP BY STEP EXPLANATION)

Answers

Answer:

(7m−3)(7m−3)

Step-by-step explanation:

Factor 49m2−42m+9

49m2−42m+9

=(7m−3)(7m−3)

I think of a number, double it and subtract 1 and then square the answer. The result is 64. What could the number be? Give two possible answers please.

Answers

4.5

Maybe I’m missing something, but from how I understand this question 4.5 is the only possible answer.

- 4.5 doubles to 9
- subtract 1 from 9 to get 8
- square 8 for the result of 64

(This is just my logic, but maybe my thought process can help you!)

A kitten is born weighing 90 grams and gains 10 grams per day for 14 days.

How many days, x, will it take the kitten to double its weight? Write and solve the equation.

Answers

Answer:

9 days

Step-by-step explanation:

Answer:

180=90+10x  X = 9 days

Step-by-step explanation:

is there anyone who can help with this????

Answers

Answer:

C equals 48

Step-by-step explanation:

You add the two angles you have and take that answer and subtract it from 180 and that is the missing angle measure

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