The value of y varies directly with x, and y = 5 when x = -20. Find y when x = 35.

Please help! Thanks!!!!

Answers

Answer 1

Answer:

Step-by-step explanation:

If y= -5 when x= -20  that means x is 4 times y

y=  8.75  when x= 35

Answer 2

Answer:

Our equation is:

[tex]\displaystyle y=-\frac{1}{4}x[/tex]

When x=35, y=-35/4 or -8.75.

Step-by-step explanation:

We know that y varies directly with x.

The standard equation is:

[tex]y=kx[/tex]

We know that y is 5 when x is -20.

So, let’s substitute 5 for y and -20 for x and solve for k, our constant of variation. So:

[tex]5=k(-20)[/tex]

Divide both sides by -20:

[tex]\displaystyle k=-\frac{1}{4}[/tex]

Therefore, our constant of variation is -1/4.

Hence, our equation is:

[tex]\displaystyle y=-\frac{1}{4}x[/tex]

To find y when x=35, let’s substitute 35 for x. So:

[tex]\displaystyle y=-\frac{1}{4}(35)=-\frac{35}{4}=-8.75[/tex]

So, when x=35, y=-8.75.


Related Questions

James, Priya, and Siobhan work in a grocery store. James makes $9.00 per hour. Priya makes 40% more than James, and Siobhan makes 5% less than Priya. How much does Siobhan make per hour?


Siobhan makes $ per hour.

Answers

5.00 per hour I think

Answer:

$7.98 per hour

Step-by-step explanation:

PLZ HELP ME I WILL MARK BRAINLIEST!!!

Answers

Answer:

i just kno that D is 0

Step-by-step explanation:

-7 +7=0

Sarah wants to buy a new pair of sandals. The sandals are $45 and she has a coupon for 30% off. What is the price of her sandles after the discount?

Answers

Answer:

$31.5

Step-by-step explanation:

-$45

-30 percent off of $45

30 times 45 divided by 100

1350/100

13.5

45-13.5

$31.5

Miguel divided 205 oranges evenly into 5 boxes. How many oranges were in each box?

Answers

Answer:

41

Step-by-step explanation:

205 divided by 5=41

Answer:

The Answer is 41 oranges in each box

Is this paper 8 1/2 x 11 pls hurry pls pls pls I need help and can someone show me where 8 1/2 is on a ruler like this

Answers

Answer:

I believe that the paper should be around 8 1/2 x 11.

You can find 8 1/2 by going to the mark shown between 8 and 9 on the side with inches.

If shoes were 15% off and you save nine dollars what was the original price

Answers

Divide amount saved by percentage:

9/0.15 = 60

The original price was $60

Answer:$60

Step-by-step explanation:

9/15=0.6

0.6=1%

0.6*10=$60

Emma and her children went into a restaurant where they sell hotdogs for $4 each and drinks for $1.50 each. Emma has $30 to spend and must buy no less than 9 hotdogs and drinks altogether. If xx represents the number of hotdogs purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

6 hotdogs and 4 drinks

Step-by-step explanation:

4x + 1.50y = 30

For questions like this, you can do the equation that represents the price of the products first.

x + y  [tex]\geq[/tex] 9

After that, you can write the equation that represents the quantities.

Now, you just have to graph it to find the solution. When you're graphing, make sure that y is alone on one side. Here's how you rearrange the equations:

The first equation:

4x + 1.50y =30

*Subtract 4x from both sides, which leads to:

1.50 y = -4x + 30

*Divide by 1.50 on both sides, which leads to:

y = -2.66x + 20

The second equation:

x + y  [tex]\geq[/tex] 9

*Subtract x from both sides, which leads to:

y  [tex]\geq[/tex] -1x + 9

Now, use any graphing calculator (I prefer Desmos) to graph these two equations. In fact, you can just graph it on paper, too.

Here is the graph: (it is attached as a file)

You can look for any points that are on the red line but are also shaded blue. Make sure you look only in Quadrant 1- don't go into the negatives! One good point to choose would be (6,4)- this means that you buy 6 hotdogs and 4 drinks.

Answer:

[tex]y\geq 9-x[/tex] shaded up

[tex]y\leq 20-\frac{8}{3} x\\[/tex] shaded down

4 hotdogs, 8 drinks

Step-by-step explanation:

A. ECONOMICS A sports team sells about
100 coupon books for $30 each during their annual
fundraiser. They estimate that for each $0.50
decrease in the price, they will sell about 10 more
coupon books. How much should they charge for
each book in order to maximize the income from
their sales?
A. $29.50
B. $20.00
C. $17.50
D. $15.00

Answers

Answer:C

Step-by-step explanation:

Help me please hurry up

Answers

1. machine 1 : Y=0.6x+0
machine 2: Y=3/4x+0

2. i believe machine 2 is moving faster since it’s moving at a 0.75 and machine 1 is moving at 0.6 :)

a solar panel is in the shape of a rhombus with sides 2.4f each and a height of 1.8ft. compute the area of the solar panel.

Answers

Answer:

4.32ft^2

Step-by-step explanation:

A of a rhombus = l x w

=2.4x1.8

=4.32

∴ the area of the solar panel is 4.32ft^2

Question down here
Look(+o+)

Answers

Answer:

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

Step-by-step explanation:

2 1/2 x 1 1/2 x 1 = 3 3/4

Answer : 3 3/4 cubic inches

You walk 1/5 miles to a clothing store. Than you walk another 1/4 miles to a shoe store. How many miles have you walked in all?

Answers

Answer: She has walked 9/20 miles in total

Step-by-step explanation:

1/5*4=4/20

1/4*5=5/20

4/20+5/20=9/20 miles

Carlos can run 5 miles in 45 minutes, Kelly can run 10 miles in 80 minutes, and Mick can run 30 miles in 170 minutes

Answers

Answer:

Mick can run farther in less time if that's the question

Step-by-step explanation:

Mick's speed is faster.

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

Carlos can run 5 miles in 45 minutes.

45 minutes = 45/60 = 0.75 hours

Speed.

= 5/0.75

= 6.66 miles per hour.

Kelly can run 10 miles in 80 minutes.

80 minutes = 1.33 hours

Speed.

= 10/1.33

= 7.5 miles per hour.

Mick can run 30 miles in 170 minutes

170 minutes = 2.8 hours

Speed.

= 30/2.8

= 10.7 miles per hour

Thus,

Mick's speed is faster.

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+275x+127

Answers

Answer:

1308.6 feet

Step-by-step explanation:

Given is the quadratic equation

y= -16x^2 + 275x + 127

It has the maximum height at its vertex, x-coordinate of which is calculated by the formula:

x = -b/2ax = -275/2(-16) = 8.6 rounded to the nearest tenths

Calculating the highest point:

y = -16(8.6)^2 + 275(8.6) + 127 = 1308.6 feet rounded to the nearest tenths

A and B start toward each other at the same time from points 150 miles apart.
If A went at the rate of 20 miles an hour, at what rate must B travel if they
meet in 5 hours?

Answers

Answer:

B must travel at the rate of 10 miles per hour.

The speed at which B should travel is 10 mph

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the distance between A and B be D = 150 miles

Now , the equation will be

The speed of A = 20 mph

Let the speed of B be = B

The time required T = 5 hours

From the equation , Distance = Speed x Time

Substituting the values in the equation , we get

150 = ( A x T ) + ( B x T )

20 x 5 + ( B x 5 ) = 150

On simplifying the equation , we get

100 + 5B = 150

Subtracting 50 on both sides of the equation , we get

5B = 50

Divide by 5 on both sides of the equation , we get

B = 10 mph

Therefore , the value of B is 10 mph

Hence , the speed of B is 10 mph

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If your car gets 34 miles per​ gallon, how much does it cost to drive 370 miles when gasoline costs ​$3.30 per​ gallon?
The cost is ​$
nothing.
​(Simplify your answer. Round to the nearest cent as​ needed.)

Answers

Answer:

15

Step-by-step explanation:

Solve the equation. 10 - 6v = -104

Answers

10 - 6v = -104

-6v = -104 - 10

-6v = -114

6v = 114

v = 114/6

v = 57/3

v = 19

I need help like omg ....I’ve been asking for a tutor or if someone Is willing to help me I am not a bot ima real person .... i just need help with my math I swear !

Answers

Answer:

(0, -6) (-7, 9)

Step-by-step explanation:

I recommend watching a khan academy video, its how I learned, cause I don't really know how to explain it on here  

2-[ 9 --[17:13]13
-2 07
08
13. What is B-CF?
-E-1
23 6.5
A.
- 11.4 44
-21 1.5
B.
12 -41]
26 8 -37
C.-7.4 51 56
25 -6 10
-19 6.5
D.
-6 -38]

Answers

Can you fix this problem first so I can do it for you?

The semiannual tuition payment at a major university is expected to be $30,000 for the 4 years beginning 18 years from now. What lump sum payment should the university accept now, in lieu of tuition payments beginning 18 years, 6 months from now? Assume that money is worth 6%, compounded semiannually, and that tuition is paid at the end of each half-year for 4 years. (Round your answer to the nearest cent.)

Answers

Answer:

$49,216.78

Step-by-step explanation:

A(n,k) = R[1-(1+i)^-n / i) (1+i)^-k

A = Present value of deferred annuity

R = Payment at the end of period

R = 30,000

i = 0.06 / 2

n = (4)*2 = 8

k = deferred period, (18)*(2) = 36

A(n,k) = 30,000*(1-(1+0.04)-^8 / 0.04)*(1+0.04)^-36

A(n,k) = 30,000*(1-(1.04)^-8 / 0.04)*(1.04)^-36

A(n,k) = 30,000*(1 - 0.730690205/0.04) * 0.24366872185

A(n,k) = 30,000*(0.269309795 / 0.04)*0.24366872185

A(n,k) = 30,000*6.732744875*0.24366872185

A(n,k) = 49216.78014700164

A(n,k) = $49,216.78

So the lump sum payment that the university accept now is $49,216.78

Write an expression for the calculation 16 added to 10 and then divided by 2

Answers

Answer:

it is 16 + 10 ÷ 2

Step-by-step explanation:

Justin had 4 math worksheets for
homework this week. Each worksheet had
48 problems on it. If he only answered 5
questions incorrectly all week, how many
questions did Justin answer correctly?

Answers

Answer:187 questions answered correctly

Step-by-step explanation:

4*48=192

192-5=187

48 x 4 = 96, he answered 5 incorrectly therefore he answered (96 - 5) 91 correctly

An individual saves $5000 in a bank account at the beginning of each year for 10 years.
No further savings or withdrawals are made from the account. Determine the total amount saved if the annual interest rate is 8% compounded:
(a) annually;
(b) semi-annually.

Answers

Answer:

a) Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually is $5849.5

Step-by-step explanation:

Principal Amount P = 5000

Time t = 10 years

Annual interest i = 8% = 0.08

We need to find amount saved if interest is compounded a) annually b) semi-annually

a) Amount saved if the interest is compounded annually

If interest compounded annually, n= 1

Using Formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values:

[tex]A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{1})^{1*2}\\A=5000(1+0.08)^2\\A=5000(1.08)^2\\A=5000(1.1664)\\A=5832[/tex]

So, Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually

If interest compounded semi-annually, n= 2

Using Formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values:

[tex]A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{2})^{2*2}\\A=5000(1+0.04)^4\\A=5000(1.04)^4\\A=5000(1.1699)\\A=5849.5[/tex]

So, Amount saved if the interest is compounded semi-annually is $5849.5

(a). When compounded annually, the amount will be [tex]\$ 10,794.6[/tex]

(b). When compounded semi-annually, the amount will be [tex]\$ 10,955.6[/tex]

Compound interest:

It is given that, an individual saves $5000 in a bank account at the beginning of each year for 10 years.

[tex]Principal(P)=5,000, t=10 years, rate(r)=8\%[/tex]

As we know that,

               [tex]Amount=P(1+\frac{r}{100} )^{t} \\\\Amount=5,000(1+\frac{8}{100})^{10} \\\\Amount=5,000*(\frac{108}{100})^{10}\\\\Amount=\$ 10,794.6[/tex]

When interest is compounded semi-annually;

[tex]r=8/2=4\%, t=10*2=20[/tex]

             [tex]Amount=5,000(1+\frac{4}{100})^{20} \\\\Amount=5,000*(\frac{104}{100})^{20}\\\\Amount=\$ 10,955.6[/tex]

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When high-density groups are separated by areas of low abundance, this distribution is termed: Group of answer choices random uniform logistic clumped

Answers

Complete question is;

When high-density groups are separated by areas of low abundance, this distribution is termed: Group of answer choices

A) random distribution pattern

B) uniform distribution pattern

C) logistic distribution pattern

D) clumped distribution pattern

Answer:

D: Clumped Distribution Pattern

Step-by-step explanation:

Looking at the options, the correct option is Clumped distribution pattern.

This is because in density and dispersion phenomenon, Clumped patterns will normally occur when resources get concentrated in small areas within a larger habitat or due to individuals that form social groups. However,on large spatial scales, majority of organisms will likely have clumped distributions mainly because their habitats are not distributed uniformly over wide areas.

What is 19 less than a variable n

Answers

n - 19 would be your answer. Have a nice day/night!!!

Answer:

-19+n

OR

n-19

Step-by-step explanation:

What is the slope of the line that crosses points (6, 9) and (10, 11)

Answers

[tex]slope\; is\; unknown~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[/tex]

Answer:

2/4 or 1/2

Step-by-step explanation:

slope is rise/run, so count how many points are between your x-values and how many are between your y-values. there are 4 points between the x's and 2 between the y's.

y-axis is the rise because it goes up and down

x-axis is the run because it's horizontal

rise/run= 2/4= 1/2 because you always simplify.

Which point is located at (Negative 0.5, 0.75)? On a coordinate plane, point B is 0.75 units to the right and 0.5 units down. Point G is 0.75 units to the right and 0.5 units up. Point M is 0.5 units to the left and 0.75 units down. Point Z is 0.5 units to the left and 0.75 units up. point B point G point M point Z hurry

Answers

Answer:

It’s b

Step-by-step explanation:

Which is point g

Answer:

Z

Step-by-step explanation:

the line that passes through (−2,3) and (0,8)

Answers

Answer:

y=5/2x+8

Step-by-step explanation:

slope: (y2-y1)/(x2-x1); (8-3)/(0-(-2))= 5/2

y-intercept is 8

3. Is the line through points P(0, -9) and Q(2, -8) perpendicular to the line through points R(1,4) and S(3, 3)?
Explain.

Answers

Answer:

no

Step-by-step explanation:

1. to make up the equations of lines PQ and RS:

(PQ)  [tex]\frac{x-0}{2} =\frac{y+9}{1}; \ \frac{x}{2}=\frac{y+9}{1};[/tex]

(RS)  [tex]\frac{x-1}{-2}=\frac{y-4}{1}; \ \frac{x-1}{-2}=\frac{y-4}{1};[/tex]

2. to write the pointed verctors of PQ and RS:

for PQ it is p=(2;1); for RS it is r=(-2;1).

3. according to the pointed vectors it is clear, the given lines are not perpendicular [2*(-2)+1*1≠0].

there are 12 flowers and Sasha garden and she picks 3 flowers for her father then she picks 2 flowers for her mother how many flowers are in the garden now ​

Answers

Answer:

7 FLowers

Step-by-step explanation:

If you take away 3 from 12, you end up with 9, then you take 2 more away, leaving you with 7 flowers.

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