Value of m varies directly as value of n and n=5 when m=12. What is n when m=18?

Answers

Answer 1

Simplify the problem down, so:

m = 12 & n = 5
m = 6 & n = 2.5 (divided each number by 20)

Now m is a factor of 18. Multiply each number by 3.
Answer: m = 18 & n = 7.5

Answer 2

Answer:

7.5

Step-by-step explanation:

Related Questions

A rectangle field is five times as long as it is wide. If the perimeter of the field is 288 yards, what are the field's dimensions?

Answers

[tex]x + x + 5x + 5x = 288 \\ 12x = 288 \\ x = 24[/tex]

Width = 24 yards
Length = 24 x 5 = 120 yards

Area =
[tex]24 \times 120 = 2880 \: sq. \: yrds[/tex]

Hope this helps. - M

A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.
(PICTURE IS BELOW)

Which of the following inferences can be drawn about the buying pattern of the online customers versus that of the walk-in customers?

A.Online customers buy an average of four packs compared with walk-in customers, who buy an average of one pack.
B.Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.
C.Online customers buy an average of four packs compared with walk-in customers, who buy an average of two packs.
D.Online customers buy an average of five packs compared with walk-in customers, who buy an average of one pack.

Answers

I am a little late but the answer is B.Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs. I don't really know if its right but I think it is!

The random Sample can be drawn the buying pattern on the online customers versus that of the walk in interview, the correct option is B.

What is sample?

Sample is "a small and manageable version of a larger group".

According to the question,

The number of packs ordered by random samples through the online customers = 100

The number of packs ordered by random samples through the walk-in-interview =100

To find the inferences,

Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.

Hence, the Option B.

To learn more about sample here

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1/1+sin theta + 1/1-sin theta

Answers

Short answer 2 * sec^2(theta)
[tex] \frac{1}{1 - sin(\theta)} + \frac{1}{1 + sin(\theta)} [/tex]
Find the common denominator
The common denominator is (1 - sin(theta) * (1 + sin(theta) )

Multiply each fraction's numerator and denominator by the common denominator

[tex] \frac{1 +sin(\theta)}{(1 - sin(\theta))(1 + sin(\theta))} + \frac{1 - sin(\theta))}{(1 + sin(\theta)) * (1 - sin(\theta)) } [/tex]

Remove the brackets and cancel the sin(theta) terms in the numerator.
Combine the denominator

2 / (1 - sin^2(theta)) but 1 - sin^2(theta) = cos^2(theta)
2 / (cos^2 (theta) but 1/cos^2(theta) = sec^2(theta)
2 * sec^2 (theta) <<<<< Answer

Please help choose the best answer x/-4 >6
A: x <-24
B: x >-24
C: x < 10
D: x > 2

Answers

Basically, we just isolate x by multiplying both sides by -4:
x/-4 * -4 > 6 * -4
(when you multiply by a negative number, the sides will switch:)
x < -24
The answer is option A

log base 6 (2x+1) = log base 6 (x-3) + log base 6 (x+5)

Answers

We assume you want to find values of x that make the expression true.

Use the rules of logarithms to rewrite as a single log. Then take the antilog and solve the resulting quadratic.

[tex]\log_{6}(2x+1)=\log_{6}(x-3)+\log_{6}(x+5)=\log_{6}((x-3)(x+5))\\\\2x+1=(x-3)(x+5)=x^{2}+2x-15\\\\0=x^{2}-16=(x-4)(x+4)[/tex]

The term [tex]\log_{6}(x-3)[/tex] is only defined for x > 3, so the only solution to this equation is x = 4.

d=1/2at^2 ; for a
solve for a

Answers

Answer:

a = 2d/t²

Step-by-step explanation:

1- Divide by 1/2 on both sides:

(d ÷ 1/2 = d × 2/1 = 2d)

2d = at²

2- Divide by t² on both sides:

2d/t² = a

a = 2d/t²

You can do those two steps in one but I made it in two so it's easier to understand.

PLEASE someone do this math EASY picture attached

Answers

Hey there! :)

5/8 ÷ 3/2 = (5/8 × 2/3) = 10/24 = 5/12

5/12 × 2/3 = 10/36 = 5/18

Your answer is 5/18

Hope this helps :)

Answer:

5/18

Step-by-step explanation:

5/8 ÷ 3/2

switch 3/2 to 2/3

5/12 × 2/3

10/36 divide each 2 5/18

7th grade math! Proportionality and similar shapes
PLEASE answer all or as much as you can, thank you!

Answers

sorry I can't answer i'm in 5th grade, pretty much 6th grade, sorry :(

1.) C
2.) H
3.) D
4.) H

which one is equivalent?

Answers

(5^3)^9/5^12 is equivalent to 5^15.

I hope this answers your question!

-T

what are the factors of 2n^2 -5n- 42

Answers

Final answer:

The factors of the quadratic expression 2n^2 - 5n - 42 are found by looking for two numbers that multiply to -84n^2 and add up to -5n. The correct pair is 7n and -12n, leading to the factors (2n + 7) and (n - 6).

Explanation:

The factors of 2n^2 - 5n - 42 need to be determined by finding two numbers that multiply to 2n^2 times -42 (which is -84n^2) and add up to -5n. To factor this quadratic expression, we should look for a pair of numbers that meet these criteria.

Upon inspecting possible pairs, we find that 7n and -12n are the numbers that work since (7n) * (-12n) = -84n^2 and 7n + (-12n) = -5n. The quadratic trinomial can be expressed as:

2n^2 - 5n - 42 = (2n + 7)(n - 6)

By factoring this way, we have broken down the expression into its factors, which are (2n + 7) and (n - 6).

The factors of the quadratic expression [tex]$2n^2 - 5n - 42$[/tex] are [tex]$2n + 7$[/tex] and [tex]$n - 6$[/tex].

To find the factors of the quadratic expression $2n^2 - 5n - 42$, we can use the factoring method. This involves finding two numbers that multiply to give the product of the coefficient of $n^2$ (which is 2) and the constant term (which is -42), and also add up to the coefficient of $n$ (which is -5).

The product of the coefficient of [tex]$n^2$[/tex] and the constant term is:

[tex]$2 \times -42 = -84$[/tex]

Now we need two numbers that multiply to -84 and add up to -5. These numbers are -12 and 7 because:

[tex]$-12 \times 7 = -84$[/tex]

[tex]$-12 + 7 = -5$[/tex]

Now we can rewrite the middle term of the quadratic expression using -12 and 7:

[tex]$2n^2 - 12n + 7n - 42$[/tex]

Next, we can factor by grouping. Group the first two terms and the last two terms:

[tex]$2n(n - 6) + 7(n - 6)$[/tex]

Notice that [tex]$n - 6$[/tex] is a common factor. We can factor this out:

[tex]$(2n + 7)(n - 6)$[/tex].

a bonsai tree grows 0.056 cm per year. If the tree is currently 10 cm tall, how tall will it be 5 years from now?

Answers

Since it is already 10 cm tall, all you have to do is solve this : 10 + 0.056 * 5.
0.056 * 5 = 0.28 + 10 = 10.28 cm. Hope this helps!

Serena bought 4 pounds of dough to make pizza the recipes gives the amount of dough needed for a pizza in ounces how many ounces of dough did she buy

Answers

64 ounces.
hope my answer helps

64 ounces

Step-by-step explanation:

Find the greatest common factor for the list of terms 110x3, 30x4,60x8

Answers

110×3 = 5×11×2×3

30×4 = 3×5×2×2×2

60×8 = 3×2×2×5×2×2×2

Greatest common factor = 2×3×5

= 30

Hope this helps!

110x³ = 10x³(11)

30x⁴ = 10x³(3x)

60x⁸ = 10x³(6x⁵)

Answer: GCF = 10x³

one month charlie rented 2 movies 3 video games for a total of $21. The next month he rented 4 movies and 8 video games for a total of $53. Find the rental cost of each movies and each video game.

Answers

x= cost per movie
y= cost per video game

EQUATION 1:
2x + 3y= $21

EQUATION 2:
4x + 8y= $53

STEP 1:
multiply equation 1 by -2.

-2(2x + 3y)= -2($21)
-4x - 6y= -42

STEP 2:
solve linear equations by elimination. use equation 2 and equation answer from step 1. add the two equations together. the x terms will cancel out. solve for y.

4x + 8y= 53
-4x - 6y= -42

2y= 11
divide both sides by 2
y= 11/2
divide
y= $5.5 per video game

STEP 3:
substitute y answer from step 2 into either original equation to solve for x.
2x + 3y= $21
2x + 3(5.50)= 21
2x + 16.50= 21
subtract 16.50 from both sides
2x= 4.50
divide both sides by 2
x= $2.25 per movie

CHECK:
4x + 8y= $53
4(2.25) + 8(5.50)= 53
9 + 44= 53
53= 53

ANSWER: The cost per movie is $2.25 and the cost per video game is $5.50.

Hope this helps! :)

Final answer:

The cost to rent a movie is $2.25 and to rent a video game is $5.50, which was determined by solving a system of linear equations derived from the problem statement.

Explanation:

This problem is a classic example of a system of linear equations, and we can solve it using either substitution or elimination method. Let's denote the cost of renting a movie as 'm' and the cost of a video game as 'v'. From the problem statement, we know:

2m + 3v = $214m + 8v = $53

We can multiply the first equation by 2, giving us 4m + 6v = $42. Now if we subtract the second equation from this, we can solve for 'v':

(4m + 6v) - (4m + 8v) = $42 - $532v = $11v = $5.50

Substitute 'v' back into the first equation to solve for 'm':

2m + 3($5.50) = $212m + $16.50 = $212m = $4.50m = $2.25

Therefore, the cost to rent a movie is $2.25 and to rent a video game is $5.50.

Learn more about System of linear equations here:

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Paul wrote a check to the dentist for $345.69. He’ll use the check register to record his transaction. What will be his new balance?

Answers

Answer:

The answer is $704.73

Step-by-step explanation:

Answer:

The answer is A. $704.73

Step-by-step explanation:

What does this equation equal to? 2010=0.507x+5.543

Answers

x=3953.56410256
or in fraction form
x=154189/39

A number m minus 3 is more than -4

Answers

m= a number
> = more than/greater than

Expression:
m - 3 > -4

If you have to also solve:

m - 3 > -4
add 3 to both sides

m > -1

ANSWER: expression is m - 3 > -4;
expression solved for m is m > -1

Hope this helps! :)

what is 15% of "x"

PLEASE HELP

Answers

Answer:

0.15x

Step-by-step explanation:

15% of anything is 15/100 or 0.15 of it. You find that value by multiplying the "anything" by 0.15.

Since we don't know the value of x, the best we can do is show that the number of interest is x multiplied by 0.15.

plz help me asap!!!!

Answers

use the distance formula and Pythagorean theorem to proceed to the solution:

distance=√((x₂-x₁)²+(y₂-y₁)²), Pythagorean Theorem c²=a²+b²

a) (-5,6), (-5,-6), (4,-6)

d= √((-6-6)²+(-5+5)²)

d=12

d=√((-6+6)²+(4+5)²)= 9

d=√((-6-6)²+(4+5)²)= 15

A is correct

If a recipe requires 3/4 cup of water and Lisa wants to make only 1/3 of the recipe.how many cups of water should she use?

I got the answer 1/4 but I just want to make sure it’s right

Answers

The recipe requires 3/4 cup

1/3 of the recipe = 1/3 x 3/4 = 1/4 cup

Answer: 1/4 cup

what is the slope of the line through (-2,3) and (1,1)?

Answers

The slope of the line is -2/3.

This is found by using the equation y2 - y1/x2 - x1. Filling in for each factor, you would have 1-3/1+2 (since subtracting a negative makes it positive). This will give you a final answer of -2/3.

Here is a graph of the full equation of the line.

I hope this helps!

David took a survey of 12 people to find out what their favorite animal is.mOf those, 1/3 of the people said they like dogs best. How can you find out how many people liked dogs the best?

Answers

Multiply total number (12) by the fraction that like dogs (1/3).

=12 total * 1/3 dog people
=(12*1)/3
=12/3
=4 dog people

ANSWER: There are 4 people who like dogs the best out of the 12 surveyed.

Hope this helps! :)

1/3 of 12 people liked dogs best. One third means you divide by 3(denominator) and then multiply by 1(numerator).
12/3 = 4, 4 * 1 = 4
4 people liked dogs best.
Hope this helps

could rectangle a be a scale drawing of rectangle b? explain.

Answers

no because the lengths arent equal

Math Help PLEASE! ASAP

Answers

1. 50% of the budget is spent on other:
5,000 x 0.50 = 2,500
Answer is $2,500

2. a full circle = 360 degrees
40% = 0.4
360 * 0.4 =144 degrees

3. third one shows the correct circle graph

Mary and Jerry are exercising on a track
-Mary is walking at a rate of 3 miles per hour
-Jerry starts jogging at a rate of 4 miles per hour after Mary has been walking for 15 minutes
-Jerry jogs 2 miles as Mary continues walking and they both stop at the same time
Enter the total distance, in miles, that Mary walks around the track

Answers

Jerry stopped after reaching 2 miles, therefore with the rate of 4 miles per hour, Jerry had only consumed 30 minutes. The given said the two persons stopped at the same time, therefore Mary stopped walking after 30 minutes.

With Mary's rate of walk, 3 miles per hour, we can just convert it to minutes and find the distance she has covered after 30 minutes.

3 miles/ 60 minutes, multiplying both numerator and denominator by 1/2, we will have 1.5 miles/30 minutes. Therefore, Mary has covered a distance of 1.5 miles around the track after the walk.

Answer:

2.25

Step-by-step explanation:

Mary walks for 15 mins which is 0.75 mi. Jerry then starts jogging for 2 miles which is 30 minutes because he is jogging at 4 mph. This means Mary walked for 30 minutes which is 1.5 mi.

0.75+1.5=2.25

Jason is covering an ottoman with fabric. The ottoman is in the shape of a rectangular prism that is 37 cm long, 21 wide, and 30 cm high. How much fabric is needed to cover the sides and top of the ottoman? Explain your strategy.

Answers

Final answer:

Jason needs 4,257 square centimeters of fabric to cover the sides and top of his rectangular prism shaped ottoman, calculated by finding the area of each side and adding them together.

Explanation:

To calculate the amount of fabric needed to cover the sides and top of a rectangular prism shaped ottoman with dimensions 37 cm in length, 21 cm in width, and 30 cm in height, we start by determining the surface area of the ottoman that needs covering. We ignore the bottom surface, assuming the ottoman sits directly on the floor.

First, calculate the area of each side:

Top/bottom surface (only top applies here) = length × width = 37 cm × 21 cm = 777 cm²

Front/back surface = length × height = 37 cm × 30 cm = 1,110 cm² (two sides, so × 2)

Left/right side = width × height = 21 cm × 30 cm = 630 cm² (two sides, so × 2)

Next, add all the calculated areas together:

777 cm² (top) + 2,220 cm² (front/back) + 1,260 cm² (left/right) = 4,257 cm²

Therefore, Jason needs 4,257 square centimeters of fabric to cover the sides and top of the ottoman.

The table below shows the deliveries for Floral World for the week. What is the mean, or average, number of deliveries per day?

Answers

To find the mean, add all the numbers up and divide by how many days there were.
13+15+17+19+16=80
80 divided by 5 is 16. The answer is 16
Can I have Brainliest?
Thanks!!

Answer:

The average number of deliveries per day is 16 deliveries.

Step-by-step explanation:

The mean of a data set is the average value within it. Means are used as a way of describing data and finding the central tendency. To calculate the mean of a data set, add all values of all data points, then divide the resulting number by the amount of data points.

13 + 15 + 17 + 19 + 16 = 80

80 / 5 = 16

So, the average number of deliveries made per day by Floral World is 16 deliveries.

((cosx)/(1+sinx))+((1+sinx)/(cosx)=2secx

Answers

here is your answer........

Use a 10-square model to solve. What percent of 80 is 40?

Answers

200%

Hope this is right!
:)

Tina's age is 4 years less than 3 times her niece's age. If her niece's age is x years, which of the following expressions best shows Tina's age? x − 4 4x − 3 3x − 4 4 − 3x

Answers

The answer would be 3x-4

Answer:

3x-4

Step-by-step explanation:

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