Find an equation of variation in which y varies directly as x and y = 60 when x = 0.4. Then find the value of y when x = 2​

Answers

Answer 1

Answer:

y = 300

Step-by-step explanation:

The equation of variation in which y varies directly as x is written Mathematically as:

y ∝ x

y = k × x

y = kx

Where k = Proportionality Constant

We find k

a) y = 60 when x = 0.4.

60 = 0.4 × k

k = 60/0.4

k = 150

b) find the value of y when x = 2​

y = kx

k = 150

Hence,

y = 150 × 2

y = 300


Related Questions

Find the mean and median of data below 64,91,68,78,75,53,70,12,74

Answers

Answer:

The mean is 65 and the median is 70.

Step-by-step explanation:

PLZZZZ HELP!!!!!
I WILL GIVE BRAINLIEST AND 5 STAR AND 20 POINTS!!!
C=5/9 - (F−32)

Answers

Answer:

32 °F

Sorry if I'm wrong

Step-by-step explanation:

If you do correctly I will mark you Brainliest!

Answers

Answer:

66m

Step-by-step explanation:

9+3+16+3+5+12+10+s

the s would 8 because

12+5 is 17

17-9 would be 8 so we would add 8.

9+3+16+3+5+12+10+8

Answer:

66 m

Step-by-step explanation:

We know that Perimeter is sum of all the sides of any triangle / quadrilateral / polygon . Here we see that that the side lenght are ,

8cm , 10cm , 12cm , 3m , 5m , 16m ,9m , 3cm .

On adding these , we will get Perimeter .

⇒ P = 8cm + 10cm + 12cm + 3m + 5m + 16m + 9m + 3m

P = 66m

Hence the required answer is 66m

what is the quotient of 30 and the sum of 5 and 7.

Answers

Answer:

2  1/2

Step-by-step explanation:

30/ (5+7)

solve using system of operations

PEMDAS

Parenthesis

Exponent

Multiplication/Division

Addition/Subtraction

30/(5+7)

parenthesis first so

5+7 = 12

30/12

then division

30/12= 2  6/12

6/12 can be simplified by 6 so

6/6 = 1 and 12/6 = 2

So your answer would be 2  1/2

The quotient of 30 and the sum of 5 and 7 is 2.5

Expressions and equations

From the question we are to write the information as an expression:

The sum of 5 and 7 is given as 5+7 = 12

The quotient of 30 and the sum of 5 and 7 is expressed as [tex]\frac{30}{5+7}[/tex]

Simplify the result

[tex]\frac{30}{5+7} =\frac{30}{12} = 2.5[/tex]

Hence  the quotient of 30 and the sum of 5 and 7 is 2.5

Learn more on quotient here: https://brainly.com/question/11418015

Fast HURRY PLEASE HELP

Answers

Answer: i would say c sorry if im wrong

Step-by-step explanation:

Answer:b

Step-by-step explanation:

What is the area of the triangle?
6
21

units

Answers

Answer:

63 units²

Step-by-step explanation:

The formula for the area of a triangle is 1/2(bh).

1/2(21 * 6)

1/2(126)

63

The area of the triangle is 63 units².

Answer:

63 units²

Step-by-step explanation:

The formula for the area of a triangle is 1/2(bh).

1/2(21 * 6)

1/2(126)

63

The area of the triangle is 63 units².

Solve for b in this equation. 11 - b = 6

Answers

Answer:

5

Step-by-step explanation:

5, cause 11-5=6 hope this helps!

Which of the following written expressions can be true for the algebraic expression 3n?
3 less than a number n
3 combined with a number n
the quotient of 3 and a number n
3 times a number n
3 multiplied by a number n
The product of 3 and a number n
3 increased by a number n
No

Answers

Step-by-step explanation:

I'm wondering this too..

Ruby uses 3/8 of a cup of blueberries for her smoothie. If she has 4 1/2
cups of blueberries, how many smoothies can she make? PLEASE HELP ASAP I ONLY HAVE 5 MINUTES

Answers

Answer:

12 smoothies

Step-by-step explanation:

9/2 ÷ 3/8 = 12

Brenya Estate produces a high quality tea branded A, B and C in the ration 1.5: 5: 1. Originally Type A tea costs 1600, type B costs 800 and type C costs 1700 per kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per kg. Determine the production cost for a packet of super tea

Answers

Answer:

The production cost for a packet of super tea is 924.

Step-by-step explanation:

The production cost of the Super tea is given as

[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}[/tex]

Here the costs are given as following

[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg[/tex]

Here

Ratio of A is 1.5Sum of Ratios is 1.5+5+1=7.5Weight is 825 g or 0.825kgCost of A  per kg is 1600

So

[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg\\Cost_A=\dfrac{1.5}{7.5} \times 0.825 \times 1600\\Cost_A=264[/tex]

The cost of A is 264.

Similarly

[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg[/tex]

Here

Ratio of B is 5Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of B  per kg is 800

[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg\\Cost_B=\dfrac{5}{7.5} \times 0.825 \times 800\\Cost_B=440[/tex]

The cost of B is 440.

Also

[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg[/tex]

Here

Ratio of C is 1Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of C  per kg is 1700

[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg\\Cost_C=\dfrac{1}{7.5} \times 0.825 \times 1700\\Cost_C=187[/tex]

The cost of C is 187.

Now the packaging and blending cost for the given package is calculated as

[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}[/tex]

Here

Weight is 825 g or 0.825kgCost of packaging and blending  per kg is 40

[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}\\Cost_{packaging\ and\ blending}=0.825*40\\Cost_{packaging\ and\ blending}=33[/tex]

Cost of packaging and blending per packet is 33.

So now substituting values of costs in the following equation gives:

[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}\\Cost_{super\ tea}=264+440+187+33\\Cost_{super\ tea}=924[/tex]

The production cost for a packet of super tea is 924.

pls help with this immediately!!! (only answer if u know bc i cannot get this wrong so don’t try guessing. i’ll be giving brainiest to those with the correct answer. don’t leave a link or u will get reported)

Answers

Answer:

your answer should be $16.50 :)

Step-by-step explanation:

Answer:

16.5

Step-by-step explanation:

So lets find the change i savings for each week.

To do this, just subtract the value of the 1st week by the value of the 0th week:

7.50-6.50

=

1

So now we know for each week that passes, Henry's savings grows by 1 dollar.

Now, lets multiply the 1 dollar for each week by 10 weeks:

(dollar per week) x (amount of weeks)=(dollars for 10 total weeks)

1x10

=

10

Now that we know in 10 weeks Henry's savings increases by 10, lets add it to the orginal amount.

(Orginal amount) + (dollars for 10 total weeks) = (Total amount in savings)

6.50+10

=

16.5

Hope this helps! ;)

Do the side lengths of 8, 15, and 20 forms a triangle?

Answers

Answer:

Yes they do

Step-by-step explanation:

https://www.mathwarehouse.com/geometry/triangles/triangle-inequality-theorem-rule-explained.php?alenght=8&blength=15&clength=20#triangle-inequality-theorem

This demostration shows how.

Answer:

yes

Step-by-step explanation:

when 1st and 2nd lengths addition is more than 3rd side

for example

6+8>10

What’s the answer to this?

Answers

Answer:

45  degrees

Step-by-step explanation:

Have a grate Day :)

Matt wants to hire a company to detail his car. Company A charges $15+17h where h represents the hours it takes to detail the car. Company B charges $20h where h represents the hours it takes to detail the car. For what number of hours is the total amount charged for detailing the car the same for both companies?

Answers

Answer:

5 hours

Step-by-step explanation:

First, you set the equations equal, so 20h=17h+15

Second, you isolate the h, so you would subtract 17h from both sides, giving you 3h=15

Last, you divide both sides by 3 giving you h=5, meaning the companies charge the same price after 5 hours.

Answer:

5 hours

Step-by-step explanation:

Find g(x), where g(x) is the translation 3 units down of f(x) = x2.
Write your answer in the form a(x - h)? + k, where a, h, and k are integers.
i hate ixl

Answers

Answer:

g(x) = x² - 3

Step-by-step explanation:

When doing a, h, and k, there are different stanoints to each of the variables.

in this case, since we are shifting down, we use k

we are moving 3 units down so we subtract 3 with no parentheses

so g(x) = x² -3

The translating function is g(x) = ( x+ 3)².

What is Translation?

In mathematics, a translation is the movement of a shape to the left or right and/or up or down. The translated shapes appear to have the same size as the original shape, and hence the shapes are congruent. They were simply relocated in one or more directions. There is no change in the shape because it is just moved from one location to another.

We have function,

f(x) = x²

and, g(x) = a horizontal translation of 3 units left.

Now, we have to subtract 3 from the x coordinate of g(x).

So, g(x) = f(x-h) where h = -3.

Thus, the translating function is g(x) = ( x+ 3)².

Learn more about Translation here:

https://brainly.com/question/17592356

#SPJ5

At Jefferson High School, there are 250 students who drive to school and 375 students who ride the bus to school. The statement below is incomplete.

The number of students who drive to school is ___ % of the number of students who ride the bus to school.

Which equation can be used to solve for the blank and complete the statement above?
A. p=250/375
B. p=375/250
C. p=375/625
D. p=250/625

Answers

Answer:

D

Step-by-step explanation:

250 +375=625

250/625 × 100= 40%

Translate the description as an algebraic expression:
5 more than the sum of 11 and b

Answers

x= (11+b)+5

Hope this helps

What is 0.14 4 recurring as a fraction

Answers

Answer:

0.1414... in a fraction is 14/99

Step-by-step explanation:

Given the number 0.1414...

we have to represent the above in terms of fraction

Let x=0.1414....  →  (1)

Multiplying by 100 on both sides

100x=14.1414....     → (2)

Subtract (1) from (2), we get

99x=14

x=14/99

hence, 0.1414... in a fraction is 14/99

i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:7

Step-by-step explanation:

Answer:

I shall help

Step-by-step explanation:

11. The answer is 96 because 12 times 8 is 96

12. The answer is B.

13. The answer is also B because you need to count. BIG BRAIN

14 The answer is 8.

Next time please think a little harder

BRain;liest pls

Which situation has the lowest cost per can?
8 cans for $4.88
12 cans for $7.20
2 cans for $1.68
10 cans for $5.80

Answers

Answer:

10 cans for $5.80

Step-by-step explanation:

Given y varies directly as x, find the constant of variation k.​

Answers

The constant would be y=3x

Decide weather Triangle ABC and triangle DEF are similar, not similar, or cannot be determined from the given information

Answers

Answer: The triangles are not similar

=====================================================

Explanation:

Let's focus on triangle ABC. The given angles are

A = 57B = 92

Now let's find angle C

A+B+C = 180 .... all angles of a triangle add to 180

57+92+C = 180

149+C = 180

C = 180-149

C = 31

We'll use the same idea to find the missing angle in triangle DEF

D+E+F = 180

D+92+41 = 180

D+133 = 180

D = 180-133

D = 47

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

To summarize the angle measures we found were:

C = 31D = 47

Note that while the "92"s match up (angle B and angle E), we don't have any other matches. The two triangles must have all three angles have a match somewhere in order for the triangles to be similar. Similar triangles have their corresponding angles the same measure, but the corresponding side lengths may or may not be the same.

If we had D = 57 and F = 31, then this would lead to triangles ABC and DEF being similar; however, we don't have such a thing going on. Therefore, the two triangles are not similar.

WHAT WOULD THIS BE!!!


no scammers please !!

Answers

I’m pretty sure it’s no but not fully sure

Solve the following equations 3x-5=40

Answers

Answer:

x=15

Step-by-step explanation:

3x−5+5=40+5

3x=45

Step 2: Divide both sides by 3.

3x3=453

x=15

Answer:

x = 15

Step-by-step explanation:

3x - 5 = 40

add 5 to each side of the equation:

3x - 5 + 5 = 40 + 5

simplify:

3x = 45

divide both sides by 3:

3x/3 = 45/3

simplify:

x = 15

PLS HELP AS SOON AS YOU CAN!
How many solutions does the equation 4y + 7 = 5 + 2 + 4y have?

A. One
B. Two
C. None
D. Infinitely many

Answers

Answer:

D) infinitely many solutions.

Step-by-step explanation:

1) Cancle 4y on both sides.

[tex]7 = 5 + 2[/tex]

2) Simplify 5 + 2 to 7.

[tex]7 = 7[/tex]

3) Since both sides equal, there are infinitely many solutions.

hence, the answer is option D) infinitely many solutions.

What is the slope ( in simplest form) of the line through the points (-4,2) and (-16,-6)?

Answers

Answer:

2/3

Step-by-step explanation:

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

(-4,2) = (x1,y1)

(-16,-6) = (x2,y2)

Slope = [tex]\frac{-6-2}{-16+4}[/tex]

          = [tex]\frac{-8}{-12}[/tex]

          = [tex]\frac{2}{3}[/tex]

         

Find the volume of the figure. Round to the nearest tenth if necessary.
1 point
3.4 in
4.8 in
25

Answers

Answer: 34 in^3

Step-by-step explanation:

Surface area of triangle = 1/2 x  3.4 x 2.5 = 4.25

To find the volume of the prism, multiply the surface area of the triangle by length.

So 4.25 x 8 = 34 in^3

The starting salary of a starting teacher is $40,000, which will increase by 2% each year.

What would this teacher’s salary be after 8 years of teaching round to the nearest dollar.


Answers

Answer:

$46,866

Step-by-step explanation:

Use the compound amount equation A = P(1 + r)^t, where r is the annual interest as a decimal fraction.

Here we have A = ($40,000)(1 + 0.02)^8, or

A = A = ($40,000)(1.02)^8 = $46,866

Sheila buys 33 kg of rice, 9 kg of cornmeal and a certain amount of flour at the supermarket. The amount of flour bought is a third of the amount of rice bought. How much flour was bought?

Answers

Answer: 11kg

Step-by-step explanation:

flour = 1/3 of rice

flour = 1/3 x 33 or 33/3

flour = 11kg

5/3 X + 10/7 = 30/7

¿como se resolveria?

Answers

Answer:

12/7

Step-by-step explanation:

5/3x+10/7=30/7

5/3x=30/7-10/7

5/3x=20/7

x=(20/7)/(5/3)

x=(20/7)(3/5)

x=60/35

simplify

x=12/7

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