y varies directly with x, and y=24 when x=-15. what is x when y=16? a) 10 b) -22.5 c) -10 d) -25.6

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 24 when x = - 15, then

24 = - 15k ( divide both sides by - 15 )

k = [tex]\frac{24}{-15}[/tex] = - [tex]\frac{8}{5}[/tex] = - 1.6 , thus

y = - 1.6x ← equation of variation

When y = 16, then

16 = - 1.6x ( divide both sides by - 1.6 )

x = - 10 → c


Related Questions

Find the area of the triangle defined by the coordinates (-3,-4), (-7,0), and (-3,4).
A)
10 square units
B)
12 square units
14 square units
D)
16 square units

Answers

14 square units is the coordinates
The answer would be c 14 square units

How is the graph of y = (x + 1)^2- 5 transformed from the graph of y=x^2?

Answers

[tex]\text{Hi there! :D}[/tex]

[tex]\boxed{\text{There is a horizontal shift of 1 unit left and 5 units down.}}[/tex]

[tex]\text{Recall that the transformations form of a quadratic function is:}\\\\y = \pm a(b(x-h))+k \text{ where:}\\\\a = \text{ vertical stretch/compression}\\\\b = \text{ horizontal stretch/compression}\\\\h = \text{ shift left/right}\\\\k = \text{ shift up/down}\\\\\text{Therefore, in this instance:}\\\\h = -1\\\\k = -5, \text{ so:}\\\\\text{There is a horizontal shift of 1 unit left and 5 units down.}[/tex]

does anyone know this

Answers

Answer:

Answer below

Step-by-step explanation:

The coordinates of vertex in triangle 1 - A = 4, 2   B= 6, 8   C= 8, 4

The coordinates of vertex in triangle 2- A= -4, 2   B= -6, 8   C= -8, 4

To do this you write the coordinates of the vertex ( corners of the the triangle )

HOPE IT HELPED

Answer:

Shape #1:

A (4,2)

B (6,8)

C (8,5)

Shape #2:

A' (-4, 2)

B' (-6, 8)

C' (-8, 5)

Hope this helps :)

Pleaseeeeeee Help me :((((

Answers

Answer:

3

Step-by-step explanation:

bc i know steps to long

Answer:

{x|-25<=x, 30>x} [-25, 30)

Step-by-step explanation:

Set notation is straightforward and just includes putting the lesser and greater signs. For the interval notation, square brackets are for less than and equal or greater than or equal, so I put one for -25. Parentheses are the opposite, only for strict greater or lesser than, so I put a parenthesis.

5x +14+13x-2 i need help on these type of problems please

Answers

Answer:

18x+12

Step-by-step explanation:

5x+14+13x-2

combine Like terms:

5x+13x

14-2

18x+12

Answer:

The answer is 18x+12.

I think after 14 there should equal sign if you want to know what x equals to.

1. Patti’s register shows an ATM withdrawal on February 5 in the amount of $140.00, check #327 on February 7 in the amount of $326.15, and a deposit of $483.14.
What should Patti’s balance in her register be?
A.$614.34
B.$710.34
C.$728.14
D.$732.25

Answers

Answer: $732.25

Step-by-step explanation: I just took the quiz through K12 online school.

Answer: D.$732.25

Step-by-step explanation:

Patti's ending balance was $715.26

On 2/5 (February 5) she did a withdrawal (-) of $140.00

On 2/7 she did a check (-) of $326.15 and a deposit (+) of $483.14

$715.26- $140.00- $326.15+ $483.14= $732.25

Solve the equation. -1 + x = -10 x =

Answers

Answer:

-1

Step-by-step explanation:

Jordan's team gained 12 yards in the first play in the 2nd play they lost 8 yards witch expression could be used to describe the total yards gained by the team

Answers

Answer:

The expression is (x + 4) yards where x yards represent the initial amount of yards had by tre team

Step-by-step explanation:

In this question, we are told to write an expression which can be used to describe the total yard gained by the team.

Now, before we can write an expression showing the yard gained by the team, we need a variable that will represent the amount of yard they had initially.

Let us represent this by x yard.

By gaining 12 yards in the first play, total amount of yards now become x + 12 yards

Now in the second play, they lost 8 yards and this translates to (x + 12)-8 = (x + 4) yards

5x - 9x + 14 = -50
What is the Awnser yo this

Answers

5x - 9x = - 4x
14 - 50 = -36

- 36 = - 4x


- 36/- 4 = x

x = 9

Answer:

The answer must be 16.

I have solved too, have a look.

Please help me!!!!!!!!

A driver needs to make a delivery to an office that is 30 km away. The driver has traveled for 45 minutes west down a straight road at 50 km/h.
Has the driver traveled far enough to reach the office? Support your response.

Answers

Answer:

The driver has made it far enough to reach the office

Step-by-step explanation:

1,1

What is the measure of the smallest angle in the figure? The figure is not drawn to scale. ​

Answers

Answer:

(4x-3)°=37

Step-by-step explanation:

solve for x

6x-7+90+4x-3=180

10x=180-80

10x= 100

x=10°

from the equations;

4x-3= 4(10)-3=37° and

6x-7= 6(10)-7=53

therefore the smallest angle =(4x-3) =37

can you help me estimate 102.3+4.7

Answers

Answer: 107

Step-by-step explanation:

102.3 can be rounded down to 102 (because the 3 at the end of the number is  less than 5)

4.7 can be rounded up to 5 (because the 7 at the end of the number is greater than 5).

102.3  → estimate = 102

    4.7 →  estimate =   5  

   estimated sum  = 107

Note that estimating the sum is NOT the same as simply adding the numbers and then rounding the sum.

If mZDEF = (7x + 4)", mZDEG = (5x + 1)', and mZGEF = 23", find each
measure.
E
F
D
Angle DEF -
What is x?

Answers

Answer:

Yoy answer is x=10

Step-by-step explanation:

We already know what ∠GEF is 23°

so you would have to create an equation like this [tex]23+(5x+1)=7x+4[/tex]

you add 23+1=24 and get [tex]5x+24=7x+4[/tex] subtract 5x on both sides

[tex]24=2x+4[/tex] subtract 4 on both sides

[tex]20=2x[/tex] divide 2 x=10

∠DEF=7(10)=70+4=74

∠DEG=5(10)=50+1=51

To check 51+23=74

PLEASE HELP!!! I WILL GIVE BRAINLIEST AND 100 POINTS

Answers

Answer:

2x - 2y or x -2y or 0pick one out of the three

Answer:

B

Step-by-step explanation:

So we have the equation:

[tex]4xz-4yz=5[/tex]

And we want to find the value of 5/4x in terms of x and y.

From our original equation, let's factor out a 4z from the left. So:

[tex]4z(x-y)=5[/tex]

Now, divide both sides by 4z:

[tex]x-y=\frac{5}{4z}[/tex]

Therefore, the expression that represents 5/4z is x-y.

The correct answer is B.

Approximately 2,094,800 people took a
vacation to a state park this year. 25
years ago 158,975 people vacationed to
state parks. Approximately how many
more people visited the park than 25
years ago?

Answers

Answer: 1935825

Step-by-step explanation:

What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26, ...
O-6
0-4
O4
O 6

Answers

The answer is 6, because 8-2=6 ; 14-8=6 ; 20-14=6 and so on.

The common difference between successive terms in this arithmetic sequence is 6.

Option D is the correct answer.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

We have,

The common difference between successive terms in the sequence 2, 8, 14, 20, 26, ... is 6.

To see why, notice that each term in the sequence is obtained by adding 6 to the previous term.

For example, to get from 2 to 8, we add 6. To get from 8 to 14, we add another 6.

This pattern continues for each successive term in the sequence.

Thus,

The common difference between successive terms in this arithmetic sequence is 6.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ7

The point (-2,-3) is rotated 90 degrees counterclockwise using center (0,0). What are the coordinates.

Answers

Answer:

the answer would be (3, -2) hope this helps! :)

Step-by-step explanation:

Simplify 2(3x-9)+(2c-10)

Answers

Answer: 2c + 6x - 28

Step-by-step explanation:

6x -18 + 2c - 10

add like terms

2c + 6x - 28

chole is baking cookies to sell in boxes of 12 cookies.if she bakes 122 cookies,calculate the number she can fill and the number of cookies that will be left over.explain your answer

Answers

Answer:

she can fill 10 boxes of 12 cookies and the the left over will be 2 cookies.

Step-by-step explanation:

first we have to find out what multiple of 12 is closest to 122 which is 12 x 10=120.

then minus 120 from 122 which gives 2 remaining cookies

Ifran owns rectangular parcel of land that’s is 3/4 mile long by 5/8 mile wide. What is the ratio of the length to the width of ifrans land? A15/32 B5/6 C6/5 D32/15

Answers

Answer:

Step-by-step explanation:

(3/4)(5/8) = 15/32

Which is equivalent to 1/4

Answers

Answer:

2/8, 4/16, and so on

Step-by-step explanation:

1/4 could be equal to many numbers as long as when you simplify it down it will reach 1/4

Answer:

2/8

Step-by-step explanation:

There are many fractions which are equaivalent ( equal ) to 1/4 such as 2/8

This is because when you reduce 2/8 to its lowest terms it becomes 1/4.

HOPE THIS HELPED

6. -n + 7 - 2n + 5n - 3 = -6

Answers

Answer:

n = -5

Step-by-step explanation:

Step 1: Write equation

-n + 7 - 2n + 5n - 3 = -6

Step 2: Solve for n

Combine like terms: 2n + 4 = -6

Subtract 4 on both sides: 2n = -10

Divide both sides by 2: n = -5

What is the place value of 6 in the number 6,029?​

Answers

Answer:

six thousand

Step-by-step explanation

it lies in place of thousand and value is 6

6* 1000=6000

The place value is thousand.

What is place value?

Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that whilst a digit can be the same, its value depends on where it is in the number.

given number:

6,029

So, place values are as follows:

9- ones

2- tens

0- hundred

6 - thousand

Hence, the place of 6 is thousand

Learn more about place value here:

https://brainly.com/question/27734142

#SPJ2

"three times a number, increased by
seventeen"?

Answers

3n+17. 3 times n plus 17

66.5 divided by 7/2

I WILL MARK BRAINLIST!!!

Answers

Answer:

19

Step-by-step explanation:

just use calculator. I don't really know

Answer:

19

Step-by-step explanation:

7/2= 3.5 66.5÷3.5=19

Fourteen less than the quotient of a number and 5

Answers

Answer:

Step-by-step explanation:

14-(a/5)

Can you help me I just wanna get this over with PLESSEEEEEE

Answers

Answer:

-1/1

Step-by-step explanation:

Answer: 1/1 or Y = X + 5

Step-by-step explanation:

The slope is rise over run, which you could just say the slope is X or 1/1 since it stops at every point, unless the wanted it in this form

Samantha claims 3/5 is an integer is she correct?

Answers

Answer:

no

Step-by-step explanation:

because integers are positive and negative numbers

Answer:

She is not correct

Step-by-step explanation:

This is the answer because:

1) We know that an integer is either a negative or positive number which has no fractional components/ no relation to fractions.

2) This means that an integer should not be expressed in the x/y form, also known as the fraction form.

3) Integers should always be a whole number that is negative or positive. An integer should never be a "part" of a number.

Therefore, 3/5 in not an integer

Hope this helps!


A sum of rs 700 is to be used to give seven cash prizes to students of a school for the
overall academic performance. If each prize is 20 less than its preceding prize, finde
value of each of the prizes.​

Answers

Answer:

A sum of RS 700 is to be used to give seven cash prizes to students of school for their overall academic performance. If each prize is RS 20 less then its preceding prize, find the value of each of the prizes.

12. What property is preserved in a dilation?

Answers

Answer:

please mark brainliest ! It means that dilations map angles to angles, and the dilation preserves the measures of the angles. dilations. Dilations map lines to lines, rays to rays, and segments to segments.

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