Mathematics College

Y varies directly with x. If y = 21, when x = 7, find y when x = 28.

Answers

Answer 1
This statement means
y
∝
x
, which can also be written in the form
y
=
k
x
when it is directly proportionate and
y
=
k
x
when inversely proportionate, where
k
is a value we need to work out.
Since the equation is in the form
y
=
k
x
we know that...
21
=
K
×
7
∴

k
=
21
7
=
3
.
So we can write this as the formula:
y
=
3
x
Therefore using the value of
x
=
−
1.66
y
=
3
x
→
y
=
3
×
−
1.66
=
−
4.98
Answer 2

Answer:

y = - 4.98

Step-by-step explanation: This statement means

y

∝

x

, which can also be written in the form

y

=

k

x

when it is directly proportionate and

y

=

k

x

when inversely proportionate, where

k

is a value we need to work out. Since the equation is in the form

y

=

k

x

we know that...

21

=

K

×

7

∴

k

=

21

7

=

3

.

So we can write this as the formula:

y

=

3

x

Therefore using the value of

x

=

−

1.66

y

=

3

x

→

y

=

3

×

−

1.66

=

−

4.98

Related Questions

A math teacher graded 45 problems in 3/5 of an hour. At that rate, how many problems can she grade in 1 hour?

Answers

Answer:

75 questions

Step-by-step explanation:

[tex]45[/tex] ÷ [tex]\frac{3}{5}[/tex] of an hour

[tex]\frac{3}{5} =36[/tex]

[tex]45[/tex] ÷ [tex]36[/tex] minutes

= 1.25

1.25 times 60 = 75 questions

Your brother is 1/3 your age your sister is four years older than your brother your sister is nine years old right in equation to find your age X.

Answers

Answer:

you are 15

Step-by-step explanation:

9-4=5

5x3=15

there are 3 factors in the equation 5 x 3 x 2 = 30 true or false

Answers

Answer:

true

Step-by-step explanation:

the factors are simply what is being multiplied together. We can see there are 3 because we have 5,3,and 2. 30 is not a factor because that is the answer. I hope this helps!

True, 5x ( 3 x 2 )
3 x 2 = 6
6 x 5 = 30

A student has scores of 66.75, 66, and 72.25 on his first three tests. He needs an average of at least 70 to earn a grade of C. What is the minimum score that the student needs on the fourth test to ensure a C?

Answers

The answer is 7.25

Step-by-step explanation:

You need to just subtract thr toher numbers to get a differrnce. Then add up all of the differences so that you get thr correct answer.

Brihana kayllie works in a chocolate factory. She gets 8.75 per hour. how much money does she earn in 8 hours? 40 hours? Show your work in the box provided.

Answers

Answer:

Briana would get $70 in 8 hours and $350 in 40 hours.

Step-by-step explanation:

Multiply 8.75 by 8 to get $70

Multiply 8.75 by 40 to get $350

Hope this helps!!

Answer:

70$ in 8 hours and 350$ in 40 hours

Step-by-step explanation:

8.75 + 0.25 = 9 X 8 = 72 - 2 = 70

0.25 X 8 = 2

8.75 + 0.25 = 9 X 40 = 360 - 10 = 350

0.25 X 40 = 10

What is the value of x? show all your work​

Answers

Answer:

x or AB = 9

Step-by-step explanation:

Use Pythagorean Theorem to solve for missing side.

Pythagorean Theorem: a² + b² = c²

Plug our sides in to get AB² + BC² = AC²

We are solving for AB so we arrange the equation to get:

AB² = AC² - BC²

Solve for AB:

AB² = (√117)² - (6)²

AB² = 81

AB = 9

x or AB = 9

thanks i really need this worth 20 points

Answers

Answer:

is b

Step-by-step explanation:

Which is f(–3) for the quadratic function graphed?

–9
–3
0
9

Answers

Answer:

-9

Step-by-step explanation:

The answer is -9 since it is seeking for the point at x=-3.

please help me this is due at 6:00 and I will out for a while so please help

Answers

Answer:

a. -15

b.-5

2. 4/-3

Step-by-step explanation:

Finally, suppose you decide not to finance (get a loan for) the car and to
wait two years to save up money in addition to the $4,000 you already
have saved for the car.
How much money would you have to save each month in order to
purchase this car without any financing (loan) at the end of two years?
Round your answer to the nearest cent.

Answers

Supposing a cost of $30,000, and using proportions, it is found that you would have to save $1,083.30 each month.

--------------------------

We suppose a cost of $30,000.You already have $4,000 saved.30 - 4 = 26, thus, you would need to save $26,000 in 2 years = 24 months.How much per month?

We can solve it using proportions, by the following rule of three:

1 month - $x

24 months - $26,000

Applying cross multiplication:

[tex]24x = 26000[/tex]

[tex]x = \frac{26000}{24}[/tex]

[tex]x = 1083.3[/tex]

You would have to save $1,083.30 each month.

A similar problem is given at https://brainly.com/question/24112433

page. 1.06 lb of lettuce for 2.05 what does lettuce cost per pound rounded to the nearest cent no links please just answer the question​

Answers

Answer:

I don't think anyone understands the question

Answer:

$1.93 per pound

Step-by-step explanation:

Use ratios to solve:

1.06 lb → $2.05 1 lb → x

x = 2.05/1.06 = $1.93 per pound

Vivi steps off a 10-foot-high diving board and goes 7 3/8 feet below the surface of the swimming pool, then back up to the surface. How far does she travel altogether

Answers

Answer:

Your answer is 24 3/4 if you want it decimal wise it would be 24.75

Step-by-step explanation:

Well, let's set up our equation first. 10 (she jumped down 10 feet) + 2(7 3/8) (we are multiplying this by 2 because she first went under the surface then went back up to the surface)

Since distance is never negative you won't add any negative symbols, you'll simply add. First 2(7 3/8) = 59/4 or 14 3/4 | Next we add 10 to it 14+10 = 24 3/4

Your answer is 24 3/4 if you want it decimal wise it would be 24.75

Which are monomials?

-7

a

x + y



24r2st3


bx

Answers

Answer:

A,B,E,F

Step-by-step explanation:

Check all solutions to the equation. If there are no solutions, check "None."
&x=0


Someone please help ASAP!!

Answers

Answer:

I think 0 is the only one that works here.

Step-by-step explanation:

Answer:

the only option is 0

Step-by-step explanation:

In a survey that James conducted of the students in his school, he determined that 3 out of 8 students chose basketball as their favorite sport. How many students choose basketball as their favorite sport if James surveys 240 students?

Answers

Answer:

90 students

Step-by-step explanation:

Let u be 1 unit.

8u = 240

u = 240÷8

= 30

3u = 30×3

= 90

write an equation in slope intercept form for the line with slope -1/5 and y intercept 8. then graph the line​

Answers

Answer:

y = -1/5x + 8

Step-by-step explanation:

Given that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the z score associated with the probability that a randomly selected adult has an IQ greater than 115.

Answers

Answer:

0.8413

Step-by-step explanation:

bad explainer srry

Answer:

Step-by-step explanation:

[tex](\frac{115-100}{15})=1[/tex]

because we're looking for the zscore associated with it being greater than we flip the sign

so the answer is just -1

Greatest common factor of 76 and 675

Answers

the greatest common factor of 76 and 675 is 1

During a special ops mission a helicopter traveled eastward at 75 m/s against
westward blowing wind moving at a speed of 8 m/s. What would most likely
happen if the wind speed increased to 17 m/s? *
Helicopter
75 m/s
Wind

Answers

Answer:

the helicopter would go up and backwards

z – yx + x; use x = 2, y=-3, and z=4

Answers

Step-by-step explanation:

z-yx+x

4-(-3•2) +2

4-(-6)+2

4+6+2

12

Answer:

12

Step-by-step explanation:

4-(-3)•2+2

4+3•2+2

4+6+2

10+2

12

Ausgtin has 1/4 as many cards as mateo. mateo has 1/2 as many cards of amaro. who has the most cards

Answers

Answer:D

Step-by-step explanation:

Amaro would have the most.

Graph the point (5,6)

Answers

Answer:

(x,y)

Step-by-step explanation:

On point 0 you would go right 5 times and up 6

I don’t have any paper with me to show although all you have to do is start at the origin (0,0) then go right 5 then up 6. Please give me a brainliest if you found this helpful:)

PLEASE HELP ITS MATH THANK YOU

Answers

Answer:

he needs 91 packets of seeds

Step-by-step explanation:

5214 divided by 66 gets 79 and then do 7189 divided by 79 to get 91

A charter fishing company buys a new boat for $224,000 and assumes that it will have a trade-in value of $115,200 after 16 years.
a. Find a linear model for the depreciated value V of the boat t years
after it was purchased.
b. What is the depreciated value of the boat after 10 years?
c. When will the depreciated value fall below $100,000?
d. Graph V for 0 ≤ t ≤ 30 and illustrate the answers from (b) and
(c) on the graph.

Answers

First, according to the information, we build a linear model, and then, the model is used to find the information asked.

a) The linear model is:

[tex]V(t) = 224000 - 6800t[/tex]

b) The depreciated value of the boat after 10 years is of $156,000.

c) The depreciated value falls below $100,000 after 18.24 years.

d) The sketch is given at the end of the answer.

Item a:

The initial value is of $224,000, thus, the y-intercept of the linear function is of [tex]b = 224000[/tex].The value decayed to $115,200 in 16 years, thus, the slope of the linear function is:

[tex]m = \frac{115200 - 224000}{16} = -6800[/tex]

Then, the linear model is:

[tex]V(t) = 224000 - 6800t[/tex]

Item b:

The value after 10 years is V(10), so:

[tex]V(10) = 224000 - 6800(10) = 156000[/tex]

Then, the depreciated value of the boat after 10 years is of $156,000.

Item c:

This is t for which: V(t) = 100000. So

[tex]V(t) = 224000 - 6800t[/tex]

[tex]100000 = 224000 - 6800t[/tex]

[tex]6800t = 224000 - 100000[/tex]

[tex]6800t = 124000[/tex]

[tex]t = \frac{124000}{6800}[/tex]

[tex]t = 18.24[/tex]

The depreciated value falls below $100,000 after 18.24 years.

Item d:

The sketch is appended at the end of this answer.

A similar problem is given at https://brainly.com/question/24978772

Select the best answer for the question.
What's the correct letter name for <1 below?

A. B. C. D.

Answers

D because B is in the middle of ABC and the angle1 has B in the middle aswell.

1. Which equation is equivalent to the equation 6x + 9 = 12?
A. x + 9 = 6
B. 2x + 3 = 4
C. 3x + 9 = 6
ol
DL
D. 6x + 12 = 9

Answers

Answer:

D

Step-by-step explanation:

because I solved generalization and defined to solving for the unknowns

will summarize

Someone help, please solve this and explain

Answers

Answer:

A

Step-by-step explanation:

Perimeter = 2W + 2L

134 = 2(29) + 2x

134 - 58 = 2x

x = 76/2

x = 38 (length)

A = 2L + 2(29) >= 134 (more or equal = >=)

Will mark as brainlist answer fast


A noun that is referred to by a pronoun is called a(n)



Noun
Antecedent
Adjective
Pronoun

Answers

Answer:

Pronoun

A pronoun is a word used to stand for a noun

Answer:

I believe the answer is antecedent

Step-by-step explanation:

hope this helps bro

(2) Below is the graph of a function, y = f (x).

(a) Draw a secant line on the graph above from x = 0 to x = 4. (copy the graph if you are writing your answers on a separate paper)

(b) What is the average rate of change of f (x) from x = 0 to x = 4? Show how you get your answer.

Answers

Answer:

Step-by-step explanation:

a. To draw a secant line, just draw a straight line connecting the 2 points at x = 0 and x = 4.

b. The average rate of change of this line is going to be the change in y / the change in x. The equation will be (f(4) - f(0))/(4 - 0) = (0 - 3) / 4 = -3/4.

What is the slope of the line that passes through the points (-4, 0) (-4, -10)

Answers

Answer:

The slope is undefined.

Step-by-step explanation:

If the x value stay the same between a set of points, the slope of the line will be undefined.

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