Which two ratios represent quantities that are proportional

Answer:

We conclude that the sum of two rational numbers is rational.

Hence, the fraction will be a rational number. i.e.

Step-by-step explanation:

Let a, b, c, and d are integers.

Let a/b and c/d are two rational numbers and b≠0, d≠0

Proving that the sum of two rational numbers is rational.

[tex]\frac{a}{b}+\frac{c}{d}[/tex]

As the least common multiplier of b, d: bd

Adjusting fractions based on the LCM

[tex]\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{db}[/tex]

[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

          [tex]=\frac{ad+cb}{bd}[/tex]

As b≠0, d≠0, so bd≠0

Therefore, we conclude that the sum of two rational numbers is rational.

Hence, the fraction will be a rational number. i.e.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The cost of 15 potatoes is $7.50

Step-by-step explanation:

The potatoes are sold at a rate of $0.5 per potato.

1. Given Amanda can only spend $5 on potatoes at that price, she can buy at most $5 / 0.5 = 10 potatoes.

Amanda can buy at most 10 potatoes

2. Sam wants to buy 15 potatoes at that very same price. The cost of 15 potatoes is:

15 * $0.5 = $7.50

The cost of 15 potatoes is $7.50

Answer:

a

Step-by-step explanation:

aa

Answer:

A

Step-by-step explanation:

7d/7=d

-56/7=-8

7(d-8)

Answer:

[tex]2x+y\geq 20[/tex]

Step-by-step explanation:

Given that total points required to make the playoffs = 20 points

As there is 2 points for a win,

so points earned for x win = 2x

Similarly, as there is 1 point for a tie.

so points earned for y ties = 1[tex]\times[/tex] y= y

Total points earned for x win and y ties = 2x+y

As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so

[tex]2x+y\geq 20[/tex]

Hence, the required equation is [tex]2x+y\geq 20[/tex].

Answer:

w=3.33

Step-by-step explanation:

you should solve carefully surely u will get that answer...it won't be easy to solve it using phone that is y I didn't send solution

Answer:

10

Step-by-step explanation:

2+10+18+14+6= 50

then divide by 5 to get mean = 10

Answer:

the answer is 10

Step-by-step explanation:

if you add up all the numbers you get 50

and if you divide it by the number of results, in this case 5, you get 10!

Answer:

I honestly think its neither

Answer:

-45 is xn

The x=3 and x=-15 multiply them together which is the answer to xn

Answer:

5x - 6

Step-by-step explanation:

Do the distributive property and your equation should look like this 3x + 2x - 2 - 4

Then combine like terms

You get 5x - 6

pls mark branliest

answer

5x - 6

Step-by-step explanation:

Do the distributive property and your equation should look like this 3x + 2x - 2 - 4

Then combine like terms

You get 5x - 6

pls mark brainliest

Answer:

C (Y = -5/8x - 10)

Step-by-step explanation:

first find the slope (y₂ - y₁) ÷ (x₂ - x₁)

(5 - (-20)) ÷ (-24 - 16)

-5/8 = slope (m)

now that we know the slope is -5/8 we can rule out A and B

now to find the y intercept just substitute a point in for x and y

5 = (-5/8)(-24) + b

multiply

5 = 15 + b

subtract 15 from both sides tp isolate b

-10 = b

Answer:

5

Step-by-step explanation:

If AD was 6, and D isn't in the middle of the triangle, then DE must be a number lower than 6.

Which the only number like this is 5.

Hope this Helps!

:D

Answer:

x=-2

Step-by-step explanation:

R=1

Y=1

So the equation is

4x+9=1

4x=1-9

4x=-8

x=-8/4

x=-2

Answer:

x=-2

Step-by-step explanation:

R=1

Y=1

So the equation is

4x+9=1

4x=1-9

4x=-8

x=-8/4

x=-2

Answer:

G is the smallest

H is the largest

Step-by-step explanation:

Given

[tex]GH = 21[/tex]

[tex]HJ = 24[/tex]

[tex]GJ = 9[/tex]

Required

Which of the statements is true

First, we need to solve for G, H and J as follows:

[tex]G + H = 21[/tex] --- (1)

[tex]H + J = 24[/tex] --- (2)

[tex]G + J = 9[/tex] --- (3)

Make G the subject in (1)

[tex]G = 21 - H[/tex]

Substitute 21 - H for G in (3)

[tex]21 - H + J = 9[/tex]

Collect Like Terms

[tex]-H + J = 9 - 21[/tex]

[tex]-H + J = -12[/tex]

Make J the subject

[tex]J = H - 12[/tex]

Substitute H - 12 for J in (2)

[tex]H + H - 12 = 24[/tex]

[tex]2H - 12 = 24[/tex]

Collect Like Terms

[tex]2H = 24 + 12[/tex]

[tex]2H = 36[/tex]

Solve for H

[tex]H = 18[/tex]

Substitute 18 for H in [tex]J = H - 12[/tex]

[tex]J = 18 - 12[/tex]

[tex]J = 6[/tex]

Substitute 18 for H in [tex]G = 21 - H[/tex]

[tex]G = 21 - 18[/tex]

[tex]G = 3[/tex]

So, we have that:

[tex]G = 3[/tex]     [tex]J = 6[/tex]     [tex]H = 18[/tex]

Hence, we can conclude that:

G is the smallest

H is the largest

Answer:

2551

Step-by-step explanation:

The successor of a number is 1 more than it.

PLS GIVE BRAINLIEST

Answer:

$2.50x=10

10x=$2.50

Step-by-step explanation:

X would represent the number of scoops.

Answer:

y=6

Step-by-step explanation:

add both expressions together. 14y+6. Then set this equal to 90, because this is a 90 degree angle. Solve for y. 84=14y. y=6

Step-by-step explanation:

90= 6y+5+8y+1

14y=84

y=6

Answer:

|p| ≤ 12

Step-by-step explanation:

The absolute value of p less than or equal to 12

Answer:

its A

Step-by-step explanation:

yes

Step-by-step explanation:

square root of 26

becoz √26=5.099

=5.1

Answer:

square root of 26

Step-by-step explanation:

this is because when 26 is squared it equals 5.09902, so 5.1 is greater than 5

Answer:

the answer is -5

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

trust

Answer:

Debra Goforth's savings account shows a balance of $904.51 on March 1. The same day, she ... of $904.51 on March 1. The same day, she made a deposit of $375.00 to the account. She also made deposits of $500.00 on April 1 and May 1. The bank pays interest at a rate of 5.5 percent compounded daily.

Step-by-step explanation:

Hope this helps!

Answer:A

Step-by-step explanation:

Answer:

3rd answer option

Step-by-step explanation:

√26 ≈ 5,1

√31 ≈ 5,6

Answer:

4 should be the answer to the question

Answer:

11 1/5 divided by 2 3/4:

11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3  

The answer, therefore, should be fairly close to 12 ÷ 3

12 ÷ 3 is 4

Answer is 4

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

you just move the decimal over twice have a great day

Answer:

It would be about $9

Step-by-step explanation:

you would round $10.80 to $11 because it says to estimate and then you do 20-11 which is 9 so the answer is $9

The required amount that the cashier returned to Allie is 7.20.

Given that,

Allie went to the store and spent $10.80 for her science project. She gave the cashier $20.00. To estimate the amount of change the cashier should give Allie.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Paid amount = $20
Cost of the project = $10.80
Returned amount = 20 - 10.80
Returned amount = $7.20

Thus, the required amount that the cashier returned to Allie is 7.20.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ5

Answer:

6/48 is the likely possibility that he will pull out a blue one.

Step-by-step explanation:

The first thing you will look at is how many blue there is and in this case there is 6. All you have to do (if it didn't already) is add up all of the paperclips and put the blue total number to get your answer. So if there was 49 but he drew out one to make it 48.  So the answer is 6/48