If the value of y varies directly with x, which function represents the relationship between x and y when y = 16/5
and X=20

A. Y=25/4x
B. Y=116/5x
C. Y=4/25x
D. Y=64x

Answers

Answer 1

Answer:

C. Y=4/25x

Step-by-step explanation:

If y varies directly as x, tis is expressed as;

y ∝ x

y = kx

k is the constant of proportionality

Goven

y = 16/5 and x = 20

16/5 = 20k

16 = 100k

k = 16/100

k = 4/25

Substitute k = 4/25 into the original equation

y = kx

y = 4/25 x

Hence the required expression is y = 4/25 x


Related Questions

A line has a slope of 6 and includes the points (n,1) and (8,5). What is the value of n?

Answers

Answer:

The value of n:

[tex]n=\frac{22}{3}[/tex]

Step-by-step explanation:

Given that the line has slope 6.

i.e. m = 6

The line includes the points

(n, 1)(8, 5)

Using the formula to find the slope of the points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(n,\:1\right),\:\left(x_2,\:y_2\right)=\left(8,\:5\right)[/tex]

[tex]m=\frac{4}{8-n}[/tex]

as

m = 6

substituting m = 6

[tex]6=\frac{4}{8-n}[/tex]

[tex]6\left(8-n\right)=4[/tex]

Divide both sides by 6

[tex]\frac{6\left(8-n\right)}{6}=\frac{4}{6}[/tex]

[tex]8-n=\frac{2}{3}[/tex]

subtract 8 from both sides

[tex]8-n-8=\frac{2}{3}-8[/tex]

simplify

[tex]-n=-\frac{22}{3}[/tex]

Divide both sides by -1

[tex]\frac{-n}{-1}=\frac{-\frac{22}{3}}{-1}[/tex]

[tex]n=\frac{22}{3}[/tex]

Therefore, the value of n:

[tex]n=\frac{22}{3}[/tex]

6. Slope =
Y-Intercept
Equation in slope-intercept form:

Answers

Slope = 0.5x
Y intercept = 1
Equation: 0.5x +1

Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. Two of the vertices were (4, –3) and (–1, –3). What could be the coordinates of the other two vertices of the rectangle?

A. (4, 12) and (–1, 12)
B. (–1, 1) and (4, 1)
C. (4, 6) and (–1, 6)
D. (4, 7) and (–1, 7)

Answers

Step-by-step explanation:

I have read about this in my class

Answer:

ITS a.

Step-by-step explanation:

In a certain Algebra 2 class of 24 students, 9 of them play basketball and 13 of them
play baseball. There are 2 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?

Answers

The probability that a student who is chosen randomly from the class who plays basketball or baseball is 11/24.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that In a certain algebra 2 class of 24 students, 9 of them play basketball and 13 of them play baseball. There are 2 students who play both sports.

2+5+4 =11

Expect the 13 people/students who didn't play,

Total people 24

P = 24-13=11

P = 11/24

The probability will be equal to 11/24.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

Is there anyone here who does Calvert or Odessy?

I was quite behind on my assignments, and, somehow, I go to catch up and they've been completed or something. It says I'm 100% on pace, and I know for a fact that I wasn't. What happened?

Answers

what happen is there is a glitch probably

yes this is what happened to me. if u get too far behind they will change the due dates to your "pace" and make it easier for you.

write a word problem for 8x - 5 = 40

Answers

Answer:

Bob only has 40 dollars but he wants to buy a membership at the gym. It cost 8 dollars per month to receive a gym card. Bob went to the Gym in person so they gave him a 5 dollar off coupon. How many months can Bob buy?

Step-by-step explanation:

Answer:

eight and a variable subtracted by five equals forty

Step-by-step explanation:

getting bored.Is there anyone???​

Answers

Answer:

yes very much so

Step-by-step explanation:

yes I don't know why but I am really and truly

Answer:

WOW yRRRRRR

Step-by-step explanation:

Use the order of operations to simplify the following expression.
16+(14-6)x3-62-6
O 18
O None of the other answers are correct
O 78
0 34
O 12

Answers

none of the answers are correct it’s -28
I got -28, so I’m guessing it’s none of the other are are correct.

Wich ordered pair is a solution to the followimg inequality?
[tex]y\leq \frac{2}{5}x-2[/tex]

(5,0)
(0,5)
(-2,5)
(-5,2)

Answers

Answer:

Option A: (5,0)

Step-by-step explanation:

Given

[tex]y \leq \frac{2}{5}x-2[/tex]

Required

Select an ordered pair

Option A: (5,0)

This means

[tex]x = 5[/tex] [tex]y = 0[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]0 \leq \frac{2}{5} * 5 - 2[/tex]

[tex]0 \leq 2 - 2[/tex]

[tex]0 \leq 0[/tex]

This is a true statement.

Option B: (0,5)

This means

[tex]x = 0[/tex]   [tex]y = 5[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]5 \leq \frac{2}{5}* 0 -2[/tex]

[tex]5 \leq 0 -2[/tex]

[tex]5 \leq -2[/tex]

This is a false statement.

Option C: (-2,5)

This means

[tex]x=-2[/tex]   [tex]y = 5[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]5 \leq \frac{2}{5}* -2 -2[/tex]

[tex]5 \leq \frac{-4}{5} -2[/tex]

[tex]5 \leq \frac{-4-10}{5}[/tex]

[tex]5 \leq \frac{-14}{5}[/tex]

[tex]5 \leq -2.8[/tex]

This is a false statement.

Option D: (-5,2)

This means

[tex]x=-5[/tex]   [tex]y = 2[/tex]

Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]

[tex]2 \leq \frac{2}{5}* -5 -2[/tex]

[tex]2 \leq -2 -2[/tex]

[tex]2 \leq -4[/tex]

This is a false statement.

Only option A represents a true statement,

Hence, option A is a solution to the inequality

007
0.3
X
How to multiply .007 by 0.3?

Answers

Answer:

0.0021

Step-by-step explanation:

0.007 x 0.3= 0.0021

.007
X 0. 3
—————
Multiple
7x3 since the other are 0
You get 21 then add the 0
Your answer will be 0.0021

CAN SOMEONE PLEASE HELP ME??!!

Answers

Answer:

Step-by-step explanation:its ratxrat

...

The zeros of the divisor,

x-3=0,x=3

f(3)=4(3)²-3-3=30

The remainder is 30

3.) Jimena used her calculator to divide 2 by 13.
The calculator screen shows the number: 0.1538461.
Round Jimena's answer to the nearest tenth. =

Answers

Answer: 0.2

Step-by-step explanation:

what is the value of 5w if w=6​

Answers

Answer:

30

Step-by-step explanation:

5 x 6

Find the slope between the following points (2,5) and (-3,-9)

Answers

Answer: 14/5

Step-by-step explanation: Use Algebra calculator on math papá.com

Answer:

[tex]m=\frac{14}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (2, 5)

Point (-3, -9)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]m=\frac{-9-5}{-3-2}[/tex]Subtract:                              [tex]m=\frac{-14}{-5}[/tex]Simplify:                               [tex]m=\frac{14}{5}[/tex]

What is 3(2+q)+15 simplified

Answers

Answer:

The Answer should be....

3q + 21

What is 6/7 divided by 2/7

Answers

Answer:

3

Step-by-step explanation:

6/7 divided by 2/7

=

6/7 divide 7/2 (cancel out 7)

=

6 multiply 1/2 (reduce)

=

3


Laura can finish payroll in 3
hours. It takes Ben 5 hours
to do the same job. If they
work together, how long
should it take them?
hours

Answers

Answer:

1/2

Step-by-step explanation:

First we divide 3 and 5, which gives us 0.6, then we use the LA Hypothalamus formula which is x2, so then we substitute the x with 0.6, 0.6 multiplied by 2 is 1.2, so then we transform it to a fraction, your welcome

Answer:

15/8

Step-by-step explanation:

Use numerals instead of words.

The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left.

If there were 75 cards in all, how many cards are left to be signed?

There are
cards yet to be signed.

Answers

Answer:

25 because is the steep between card

Answer:

32

I hope this helps

Find the coordinates of the midpoint of a segment with endpoints A(-3,7) and B(8,-2)

Answers

Answer:

the midpoint is (2.5, 2.5)

If a tree casts a 45-foot shadow at the same time that a 6-foot tall man casts a 7.5-foot shadow, find the height of the tree.

1 ft

36 ft

45 ft

56.25 ft

Answers

Answer:

36 feet

Step-by-step explanation:

I believe this is the answer

Clyde took a survey to see the favorite pizza topping of his 6th grade classmates.
Topping
pepperoni
sausage
onions
cheese
Number of Students
45
36
9
16
What is the ratio of students who prefer sausage to students who prefer pepperoni?
O 1:2
O 2:3
O 3:4
04:5

Answers

I’m pretty sure it’s 3:4 Correct me if I’m wrong

Calculate the paychecks of the following people. Select the total hours and paycheck.

Answers

Answer:

If the numbers under the days of the week are the hours worked then the answers are Sue-40,$6.75,$270 Jerry-30,$5.15,154.5  Sam-38.75,$8.75,339 Step-by-step explanation:

Just add up the number of hours worked and multiply by the rate.

Given the graph that is shown. What is the range of the function?

Answers

Answer:

B

Step-by-step explanation:

Range is Y and the point is -4 to 2

What are the missing angles?

Answers

1. 51
2. 34
3. 95
4. 38
5. 47
6. 74
7. 59

I hope this helps!!

find the slope of the line from the values in the table. Explain your steps.​

Answers

Answer:

3

Step-by-step explanation:

Using any two pairs from the table if values, say, (5, 16) and (7, 22), the slope of the line is the change in y over change in x.

Thus:

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (5, 16) = (x_1, y_1) [/tex]

[tex] (7, 22) = (x_2, y_2) [/tex]

Plug in the values

[tex] slope (m) = \frac{22 - 16}{7 - 5} = \frac{6}{2} = 3 [/tex].

Slope of the line is 3.

question is in png pls some1 help.

Answers

Answer:

They r both 60°

Step-by-step explanation:

By the transversal lines law x=y

And by the parallelograms law x=60°

I hope I helped pls give me brainliest

Which number line shows the correct placement of 20%, 1/3
and 2/3?

Answers

Answer:

the answer is option A why because its basiclly telling us that 1/3 and 2/3 are close to each other and they need to find the percent on how to get to the whole number in this case is 1

Step-by-step explanation:

Answer  A you welcome

Cooper is opening an online savings account to hold his $20,000 emergency fund. The online account pays 1.5% interest compounded monthly. If Cooper does not deposit or withdraw any money from the account, how much will be in the account in 25 years

Answers

Answer:

After 25 years, Cooper will have $29,093.01 in his savings account.

Step-by-step explanation:

While Cooper opened an emergency savings account of $ 20,000, which yields an annual interest of 1.5% compounded monthly, to determine how much money he will have in his account after 25 years, the following calculation must be performed:

X = 20,000 (1 + 0.015 / 12) 25x12

X = 29,093.01

Therefore, after the passage of 25 years, Cooper will have $ 29,093.01 in his savings account.

What is the slope of this graph ?

Answers

Answer:

5/2

Step-by-step explanation:

rise/run. the graph rises 5 and over 2 to the next point

Answer: -5/2

*I used the slope formula too just to make sure*

If bananas cost $0.45 each, how much will 9 bananas cost in all

Answers

Answer:

$4.05

Step-by-step explanation:

0.45 x 9 = 4.05

Answer:

$4.05

Step-by-step explanation:

1 banana = $0.45

9 bananas = $0.45 × 9

                 = $4.05

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