Ex.) y varies inversely with x. If x = -2 when y = -8, find y when x = -4.

Answers

Answer 1

Answer:

y = -4

Step-by-step explanation:

Since x and y vary inversely, we have:

xy=k

For x= -2 and y = -8, we have:

⇒  -2×-8=k

⇒  k= 16

For x= -4, we have :

⇒  -4y=16

⇒  y= 16/-4

⇒  y=  -4

[RevyBreeze]

Answer 2

Answer:

y = -4

Step-by-step explanation:

The equation for inverse variation is

xy = k where k is a constant

x=-2 and y = -8  so we can find k

-2 * -8 = k

16 = k

The equation is xy = 16

Know we want to find y when x = -4

-4 *y =16

Divide each side by -4

-4y /-4 = 16/-4

y = -4


Related Questions

writing equations of lines

Answers

Answer:

- 10/8= -5/2

Step-by-step explanation:

You go down 10 and right eight to get to each point: rise/run, or in this case fall/run. Simplified it would be -5/2.

Hope this helps ❤

Need help, will mark brainliest plus 50 points.

Lia gets paid $450 a week plus a
5% commission on her sales. She
hopes to earn at least $600
dollars each week.
a. Write an inequality to
represent the verbal
description.
b. How much does Lia
need in sales to make
her goal?

Answers

Answer:

Step-by-step explanation:

To write the inequality, we need to first caculate the amount of money that Lia would ACTUALLY earn each week and compare that to her goal of $600.

We cannot actually get the amount of money that Lia would get because we don't know her sales so we will represent the sales with a X.

450+ X(5%).  -This the amount of money she would egt from her sales. We need to also figure out 5% of 450 to solve the next part of the equation. That is $22.5. 600-450=150/22.5= 6.6666- which is about 7 sales.

"the quotient of a number and 4"

Answers

4 times X is the answer

A system of equations is given as:
x = 8
3x + 4y = 16
What is the value of y?

Answers

Answer:

3x + 4y = 16

x = 8

y = -2

Hope this helps! Please mark Brainliest!

someone help me please​

Answers

Answer:

25

Step-by-step explanation:

Billy walked 52 miles in 3 days how many miles could he walk in 10 days?

Answers

Answer:

He could walk  173 [tex]\frac{1}{3}[/tex] miles in 10 days

Step-by-step explanation:

To solve this problem let us use the ratio method

∵ Billy walked 52 miles in 3 days

∵ We need to find how many miles could he walk in 10 days

→ Use the ratio method

→ Miles  →  Days

→  52     →   3

→   x       →   10

→ x is the number of miles

→ By using cross multiplication

x × 3 = 52 × 10

∴ 3x = 520

→ Divide both sides by 3 to find x

∴ [tex]\frac{3x}{3}=\frac{520}{3}[/tex]

x = 173 [tex]\frac{1}{3}[/tex] miles

He could walk  173 [tex]\frac{1}{3}[/tex] miles in 10 days

What are all the like terms of 5x

Answers

Answer:

a number times 5

Step-by-step explanation:

What is the value of D(12)

Answers

Answer:

If  the question is looking for an absolute value  then the answer is 12.

Absolute value |-a|  = a.

What is the equation of this line?
y= 4/5x-3
y=5/4x-3
y=4/5x+3
y=-4/5x-3

Answers

Answer:

the answer is y=4/5x-3

The equation of the line shown in the graph would be, [tex]y = \dfrac{4}{5} x - 3[/tex]

Hence, option 1 is true.

Given that;

Two points on the line are (5, 1) and (0, -3).

Used the concpet of the equation of the line,

The equation of a line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, [tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Now,

Since, The equation of line passes through the points (5, 1) and (0, -3)..

So, We need to find the slope of the line.

Hence, the slope of the line is,

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

[tex]m = \dfrac{(- 3 - 1)}{(0 - 5)}[/tex]

[tex]m = \dfrac{(- 4)}{( - 5)}[/tex]

[tex]m = \dfrac{(4)}{( 5)}[/tex]

Thus, The equation of the line with slope 4/5 is,

[tex]y - 1 = \dfrac{4}{5} (x - 5)[/tex]

[tex]y - 1 = \dfrac{4}{5} x - 4[/tex]

[tex]y = \dfrac{4}{5} x - 4 + 1[/tex]

[tex]y = \dfrac{4}{5} x - 3[/tex]

Therefore, The equation of the line will be;

1) [tex]y = \dfrac{4}{5} x - 3[/tex]

So, option 1 is true.

To learn more about the equation of line visit:

https://brainly.com/question/18831322

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I cut along piece of wood into 50cm pieces I manage to cut w, pieces of wood and there is 20cm left over . How long was the wood to start with

Answers

Answer:

50w+20 (cm)

Step-by-step explanation:

There would be w pieces of 50cm wood pieces and one 20cm wood piece.

wood length = 50w +20

Step-by-step explanation:

Given

Length of Pieces = 50cm

Number of Pieces = w

Left over = 20cm

Required

Determine the length of the wood

Start by multiplying the number of pieces by the length of each pieces

Result = length * number

Result = 50 * w

Result = 50w

Lastly, add the leftover to get the actual length of the wood

Woodlengrh = result + leftover

Substitute 50w for Result and 20 for Leftover

woodlength = 50w + 20

Hence, the length of the wood is 50w + 20

It takes Jamil 40 minutes to drive to work, plus or minus 8 minutes depending on traffic. Which of the following equations could be solved to find the shortest or longest times she might drive?

Answers

Answer:

addition

Step-by-step explanation:

add 40+8 and you get 48 :P

Write an equation to represent the following statement.
j is 14 less than 22
Solve for J

Answers

Step-by-step explanation:

22-14=8 so J=8

Jackie is diving 25.65 feet below sea level and then dives down another 16.5 feet. Then he rose 12.45 feet. What is Jackie’s new depth?

Answers

Answer:

-29.7

Step-by-step explanation:

Assuming sea level is at 0, you would first subtract 25.65 from 0 to indicate diving 25.65 feet BELOW 0. Then, you subtract 16.5 from that. Then, add 12.45 to that number to get the answer after the diver rose 12.45 feet.

0-25.65= -25.65

-25.65-16.5= -42.15

-42.15+ 12.45= -29.7

OR 29.7 feet below sea level.

There were 6 eggs
I broke 2, I fried 2, and I ate 2.
How many eggs are left?!

Answers

Answer:

4

.

.

.

.

.

.

.

.

.

pls rate ..

ANSWER

yes it is

you have 6 eggs right you remove 2 eggs from the 6 eggs which means you have 4 then the 2 you removed you fry them then the 2 eggs you fry you eat those same 2 eggs and then it leaves you with 4 eggs

Mr. Townsend bought five hot dogs for his family from the concession stand. Each hot dog cost
$
1.75
. How much change will he get back if he gives the cashier
$
10
? Show your work, including labeling your answer with the appropriate units of measure.

Answers

Answer:

1.25

Step-by-step explanation:

so you multiply 1.75 by 5 which is 8.25. You subract 10 by 8.25

Find the product of-10/5 x (-15/5)

Answers

Answer:

6

Step-by-step explanation:use math- way it will help you in future

Answer:

6

Step-by-step explanation:

Equation: [tex]-\frac{10}{5}\cdot -\frac{15}{5}[/tex]

1). Apply [tex]-a(-b)-ab[/tex]: [tex]-\frac{10}{5}(-\frac{15}{5}=\frac{10}{5}\cdot \frac{15}{5}[/tex]

2). [tex]\frac{10}{5}[/tex] simplfies to 2, so [tex]2\cdot \frac{15}{5}[/tex]

3). [tex]2\cdot 3[/tex]

Solve for j.

20 − 17j = –18j

j =

Answers

Answer:

[tex]\boxed {j = -20}[/tex]

Step-by-step explanation:

-Solve for the value of [tex]j[/tex]:

[tex]20 - 17j = -18j[/tex]

-Take [tex]18j[/tex]and add it to [tex]17j[/tex]:

[tex]20 - 17j + 18j = -18j + 18j[/tex]

[tex]20 + j = 0[/tex]

-Subtract both sides by [tex]20[/tex]:

[tex]20 - 20 + j = 0 -20[/tex]

[tex]\boxed {j = -20}[/tex]

So, the value of [tex]j[/tex] is [tex]-20[/tex].

Please help! Select the graph of the solution. 2x - 1 > 5

Answers

Answer:

See photo below

Step-by-step explanation:

First, start solving it. Add 1 to each side, so it now looks like this: 2x > 6Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x > 3Now, look at your options and pick the graph that fits the solved equation. The last option matches the solved equation exactly, so that's the answer.

I hope this helps!

x>3
add 1 to both sides than divide by 2 and you get x is greater than 3
your graph would be open circle on the 3 going right

Sonia is walking 2.6 miles home from school. She leaves at 4:00 P.M., and gets home at 4:45 P.M.

Answers

Answer:

I belive, it is A I'm not sure

Step-by-step explanation:

The peak of Mount Everest, Earth's tallest point, is about 5 1/2 miles above sea level. The bottom of the Mariana Trench, Earth's deepest point, is about 6 9/10 miles below sea level. If you could place Mount Everest at the bottom of the Mariana Trench, how far from sea level would its peak be?

Answers

Answer:

11 7/10 miles below sea level

Step-by-step explanation:

Given the following :

Peak of Mount everest = 5 1/2 miles above sea level

Bottom of Mariana trench = 6 9/10 miles below sea level

If mount everest is placed at the bottom of Mariana trench

. It's be will be :

Since sea level could be considered as a 0 point;

Adding the height and depth of both should give us the depth below sea level:

(6 9/10 + 5 1/2) miles

6 + 5 (9/10 + 1/2)

11 (9 + 5)/10

11 14/10

11 7/10

= 11 7/10 miles below sea level

The cost to buy tickets online for a dance show is $60 per ticket. a. Write a function that represents the cost C(x) (in $) for x tickets to the show. b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost T(a) for a dollars spent on tickets. c. Find (T ∘ C)(x). d. Find (T ∘ C)(6) and interpret its meaning in the context of this problem.

Answers

Step-by-step explanation:

Given

cost of ticket=$60

a. the cost of x tickets is

C(x)=60x

b. sale tax of 5.5% of $60 is 5.5/100*60

   0.55*60=$3.3

processing fee = $8

the total cost T(a) for a dollars spent on tickets.

T(a)=60a+3.3+8

T(a)=60a+11.3

c. Find (T ∘ C)(x).

T(x)=60x+11.3

d. Find (T ∘ C)(6)

T(6)=60*6+11.3

T(6)=360+11.3

T(6)=$371.3

This means that for 6 tickets with a tax of 5.5% and a processing fee of $8 the cost will be $371.3

A bus covers a distance of 90km at a uniform speed. Had the speed been 15km/hour it would have taken 30 minutes less for the journey. Find the original speed of the bus.

Answers

Answer:

Step-by-step explanation

Let's say d = distance, r = speed and t = time

We know the distance formula is :

distance = speed x time

d = r multiplied by t

d = rt

If the speed is 15km/hr, the time would be 30 minutes shorter.

Since d = rt,

90 = 15t

t = 6,

This means the time taken for the bus to complete the journey at 15km/hr would be 6hrs.

Originally though, the journey takes 30 minutes longer.

So we can say t = 6.5 hrs , and we know d = 90

Now we use the distance formula:

d = rt, since we want to find the original speed, we want to find r.

Speed = distance/time

r = d/t

r = 90/6.5

r = 180/13

Therefore the original speed is 180/13 km/hr

Between 10 pm and 7:45 am the water level in a swimming pool decreased by 13/16 inch. Assuming the constant rate how much did it drop each hour

Answers

The answer to your question is, The pool dropped 1.38/16 inches per hour.

What is the area of triangle abc? Pls explain thoroughly.

Answers

Answer:

0.25 ( I guess)

Step-by-step explanation:

use 1/2 (b*h) formula

ASAP PLEASE ANSWERRR find the value of x. 3x+34=16 ​

Answers

Answer:

-6

Step-by-step explanation:

subtract 3 from both sides and that leaves 3x=-18

then divide 3 by -18 and that equals -6

Answer:

x= -6

Step-by-step explanation:

Step 1: Subtract 34 from both sides.

3x+34−34=16−34

3x=−18

Step 2: Divide both sides by 3.

3x /3  =  −18 /3

x=−6

What is 1.2 simplified

Answers

Answer:

it is 1 2/10 but simplified to 1 1/5

Step-by-step explanation:

Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices
X'(–3, 1), Y'(0, 0), and Z'(–2, –1). Which rule describes the transformation?

R0, 90°
R0, 180°
R0, 270°
R0, 360°

Answers

Answer:

ur answer is.. 90 degree

Step-by-step explanation:

Triangle ABC was transformed using the rule (x, y) -> (-y, x). The vertices of the triangle are shown.

Which best describes the transformation?

would be a R0, 90 degree  

i jst took the quiz....

Answer:

90 degrees

Step-by-step explanation:

what is the value of the 2 in 0.812

Answers

Answer:

the two is in the thousandths place

Step-by-step explanation:

the eight is in the tenths, and the one is in the hundredths

Answer:

.8 tenths

.01 hundredths

.002 thousandths

so the value of 2 would be 2 thousandths or .002 thousandths

You ride the train to an after-school job every weekday. The ticket for the trip from school to work costs $3. The ticket for the trip from work back home costs d dollars. How much do you spend on train tickets each day? How much do you spend in a 5-day week?

Answers

Answer:

each day= 3+d

each 5-day week= 15+5d

Step-by-step explanation:

Which of the following represents a fraction that converts to a repeating decimal with a value less than one?

1/2
4/3
9/10
4/9

Answers

Answer:

1/2

Step-by-step explanation:

took test

Answer:

4/9

Step-by-step explanation:

um no, that's wrong, the correct answer is 4/9 because it is a repeating decimal and is less than one

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