A cabinet maker used 2.8 gallons of varnish on 8 cabinet doors. At this rate, how many gallons of varnish are required for 60 cabinet doors?​

Answers

Answer 1

Answer:

21

Step-by-step explanation:

2.8 for 8 means a ratio of

2.8/8

now we need to transform this ratio to show x/60.

for that we need to multiply the numerator and the denominator with the same factor.

which factor ?

well, the one turning 8 into 60.

so,

8×f = 60

f = 60/8 = 15/2 = 7.5

so,

x = 2.8 × 7.5 = 21

he will need 22 gains for 60 doors.


Related Questions

only answer mean with explanation please

Answers

Mean is the average, so you add up all of the top numbers, and divide them by how many numbers there are in the top row. 1+2+3+4+5+6= 21 and 21/6= 3.5.

The mean is 3.5

Answer:

Hello,

3.85

Step-by-step explanation:

[tex]Number\ of\ customers=3+0+5+3+7+2=20\\\\mean=\dfrac{1*3+2*0+3*5+4*3+5*7+6*2}{20} =\dfrac{77}{20} =3.75[/tex]

a recipe for a cake calls for 5 1/10 cups of sugar Anjali accidentally puts in 5 3/4 cups how much extra did she put

Answers

Answer:

2/15

Step-by-step explanation:

I think not 100% on this but not so sure-

Subtract 5 1/10 from 5 3/4

5 3/4 - 5 1/10

• Subtract the whole numbers (5 and 5)

5 - 5 = 0

• LCM of the denominators (4 and 10)

= 13/20

She put an extra 13/20

how many units is 12x+16

Answers

Answer:

I think the answer is 1/2

Step-by-step explanation:

because

12x=6

x=6/12

•°•x=1/2

compare the slopes and y intercepts of the graphs of the equations in the linear system 8x + 4y =12 and 3y = -6x -15 to determine whether the system has one solution no solutions or infinitely many solutions explain

Answers

Answer:

No solutions

Step-by-step explanation:

Convert both equations into y = mx + b form, where m is the slope and b is the y intercept.

8x + 4y = 12

4y = -8x + 12

y = -2x + 3

Rearrange the other equation:

3y = -6x - 15

y = -2x - 5

So, both equations have a slope of -2. But, one has a y intercept of 3 and the other has a y intercept of -5.

Because the lines have the same slope but different y intercepts, the lines are parallel.

Parallel lines have no solutions, because they will never intersect.

So, the system has no solutions.

Solve for: X=____ Y=____
Round to the nearest tenth.

X= 60°
Y=30°

X=22.6°
Y=67.4°

X=30°
Y=60°

X=67.4°
Y=22.6°

Answers

Answer:

D

Step-by-step explanation:

These diagrams can drive you crazy. The only way you can do this question is to ASSUME that the angle that looks like it is 90 really is 90. That is a very dangerous assumption.

Solution for y

cos(y) = adjacent / hypotenuse

adjacent = 12

hypotenuse = 13

Cos(y) = 12 / 13

Cos(y) = 0.92308

y = cos-1 (0.92308)

y = 22.6

Solution for x

x does not need trig to solve.

x = 180 - 90  - 22.6

x = 67. 4

So that's D

A line passes through the points (0,0) and (4,4). What is the equation of the line?

Answers

Answer:

y = x

Step-by-step explanation:

So what we're going to want to do here is use the slope formula and the general equation y = mx + b.

Let's start.

The slope formula is y2-y1/x2-x1. So, put our points in here. 4-0/4-0. Slope: 1.

Okay, we have that. Now, a line that passes through the origin (0,0) is not going to have a y-intercept because it hits the y-axis at 0. So, that cancels out the b.

With our slope 1, the answer is just y = x. Very simple equation.

Hope this helped!

I need help I don't understand it at all

Answers

Answer:

x = 9

Step-by-step explanation:

Given

5x - 31 = 23 - x ( add x to both sides )

6x - 31 = 23 ( add 31 to both sides )

6x = 54 ( divide both sides by 6 )

x = 9

Answer: X = 9

Step-by-step explanation: basically you solve it just like any other algebra equation. The only difference is that you have x’s on both sides. You have to move one of them over. I move the x to the right and I added it to the left side. 5x plus x is 6x. ( in case you didn’t already know an x never stands alone when you see one alone it always has an imaginary 1 beside it.) after I did that I tried to isolate 6x so I added 31 to 23. 31 plus 23 equals 54. I then had the equation 6x=54. The next thing I wanted to do was to isolate the x. I then dived 6 on both sides and got x= 9

which one is the correct answer

Answers

Answer:

B.

Step-by-step explanation:

2x - 31 = - 2x - 314x = 0x = 0

Other equations don't have any value of x.

Answer:

[tex]2x-31=-2x-31[/tex]

Because if you see.. The component of x will get canceled in each of the other 3 options.. ( 2x - 2x) which means no solution.. In option B.. 2x + 2x will give 4x..= 31-31 = 0..

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

Hope it helps...

Have a great day!!

Three tennis balls that fit in cylindrical tennis ball cane. If each ball is 14 inches in diameter, what is the volume of air left between the balls and the cane​

Answers

Given:

Diameter of the tennis ball = 14 inches.

Three tennis balls are fit in a cylindrical tennis ball cane.

To find:

The volume of air left between the balls and the cane​.

Solution:

Diameter of the tennis ball = 14 inches.

Radius of the tennis ball = 7 inches

Radius of tennis ball is equal to radius of cane. So,

Radius of the cane = 7 inches

Height of cane is:

[tex]3\times 14=42[/tex] inches

Volume of a ball is:

[tex]V_1=\dfrac{4}{3}\pi r^3[/tex]

Where, r is the radius of the ball.

So, the volume of 3 ball is:

[tex]V_2=3\times V_1[/tex]

[tex]V_2=3\times \dfrac{4}{3}\times \dfrac{22}{7}\times (7)^3[/tex]

[tex]V_2=4312[/tex]

Volume of the cane is:

[tex]V_3=\pi r^2h[/tex]

Where, r is the radius of the cane and h is the height of the cane.

[tex]V_3=\dfrac{22}{7}\times (7)^2\times 42[/tex]

[tex]V_3=6468[/tex]

Now, the volume of air left between the balls and the cane​ is:

[tex]V=V_3-V_2[/tex]

[tex]V=6468-4312[/tex]

[tex]V=2156[/tex]

Therefore, the volume of air left between the balls and the cane​ is 2156 cubic inches.

what is x: |3x-1| = 4

Answers

Step-by-step explanation:

here's the answer to your question

The correct answer is X= -1

What are the factors of the quadratic function represented by this graph?
A (x - 1) and (x - 5)
B. (-x-1) and (x + 5)
C. (x-1) and (x + 5)
D (-x + 1) and (x-5) ​

Answers

Answer:

I think it is A

Step-by-step explanation:

[tex](x - 1) \: and \: (x - 5)[/tex]

I hope that is useful for you :)

The factors of the quadratic function whose graph is given are (-x -1) and ( x-5).

What is the factor of a quadratic equation?

Factor of a quadratic equation is any monomial or binomial which divides the quadratic equation without leaving any remainder.

What is factorization of quadratic equation?

Factoring a quadratic equation can be defined as the process of breaking the equation into the product of its factors.

What is solution to the quadratic equation?

The solutions of a quadratic equation represent the values of x that make the equation true. And the solutions to any equation are the x-intercepts of that equation.

According to the given question

We have a graph of a quadratic equation and x intercepts -1 and -5.

⇒ we have two points (-1,0) and (-5,0)

⇒ -1 and -5 will be the solution of the quadratic function.

⇒ x = -1  and x = -5

⇒ x+ 1= 0 and x + 5 = 0

or -x -1 = 0 and x+5 = 0

Therefore, the factors of the quadratic function whose graph is given are (-x -1) and ( x-5).

Learn more about the factors of a quadratic function here:

https://brainly.com/question/19525535

#SPJ2

10. Find the mean, median of the following data.
5,3, 2, 6, 5, 2,5
a. 5,4
b. 6,8
c. 28,7
d. 4,5

Answers

Answer:

A

Step-by-step explanation:

You find the mean by adding all the values then dividing that sum by the amount of values

You find the median by putting the numbers in order from least to greatest and then find the middle number.

The answer is D. 4,5 because for the mean you would add 5+3+2+6+5+2+5, which would be 28, and divide it by how many numbers there are, which is 7. 28 divided by 7 is 4. As for the median, you would put the numbers in order, 2,2,3,5,5,5,6 and the number in the middle, which is 5, is the answer you’re looking for.

Ming drew the model to represent the equation 24+12=_x(8+4). What is the missing value in Ming's equation 3 4 12 24

Answers

Answer:

3 is the missing value

Step-by-step explanation:

Given

[tex]24 + 12 = \_ * (8 + 4)[/tex]

Required

Complete the blank

The model is not given; but the question can still be solved.

We have:

[tex]24 + 12 = \_ * (8 + 4)[/tex]

Add 8 to 4

[tex]24 + 12 = \_ * 12[/tex]

Add 24 to 12

[tex]36= \_ * 12[/tex]

Divide both sides by 12

[tex]3= \_[/tex]

Rewrite as:

[tex]\_ = 3[/tex]

Hence, the blank will be completed with 3

Answer:

a

Step-by-step explanation:

edg 2021

If m angle PQR = 141", find each measure. ​

Answers

Answer:

x=6

pqs=82

sqr=59

Step-by-step explanation:

13x + 4 + 10x - 1 = 141

23x + 3= 141

23x = 136

x = 136/23 = 6

~~~~~~~~~~~~~~~

pqs = 13x + 4  = 13(6) + 4 = 78+4 = 82

sqr =  10x - 1 = 10(6)-1 = 60 - 1 = 59

Answer:

x = 6

Angle PQS is 82

Angle SQR is 59

Step-by-step explanation:

13x + 4 + 10x - 1 = 141

Group like terms : 23x + 3 = 141

Subtract 3 from both sides to get 23x = 138

Divide both sides by 23 to get x = 6

Angle PQS: Plug 6 into x  for 13x + 4 = 13 (6) + 4 = 82

Angle SQR: Plug 6 into x for 10x - 1 = 10 (6) -1 = 59

Roy spent 3/8 of his money on 10 identical files and 10 identical board games. He then spent 1/10 of the remainder on 6 identical staplers. A board game cost 5 times as much as a file. A stapler cost $1.50 more than a file. (a) How much did Roy spend on a file? (b) How much did Roy spend on a board game?

Answers

Question seems incomplete as the initial amount Roy has isn't given. Kindly provide Roy's initial amount

Answer:

Step-by-step explanation:

Idenify the domain for the function, f(x).

(Negative infinity, infinity)
(Negative infinity, 0) Union (0, infinity)

(Negative infinity, 2) Union (0, 2) Union (0, infinity)

(negative infinity, negative 2) Union (negative 2, 0), union (0, infinity)

Answers

Answer:

[tex]Domain = (-\infty,\infty)[/tex]

Step-by-step explanation:

The function is not given; So, I will answer this question using

[tex]f(x) = 1.6x - 2[/tex]

Required

The domain

In [tex]f(x) = 1.6x - 2[/tex],

- there is no fraction where x is in the denominator

- there is no root where x is in the radicand

This means that, there is no restriction on x.

Hence, the domain is:

[tex]Domain = (-\infty,\infty)[/tex]

Answer:

A. (negative infinity, infinity)

Step-by-step explanation:

What is the y-intercept of this quadratic function f(x) = x2 + 2x + 3

Answers

Hi there!

[tex]\large\boxed{0, 3}[/tex]

Find the y-intercept by substituting in 0 for x:

f(0) = 0² + 2(0) + 3

Simplify:

f(0) = 3

Answer:

0,3

hope this helped !!!

Step-by-step explanation:

You are picking out an outfit. Which of the following options shows a closet with 24 different possible combinations of outfits? Select all that apply.
A) 6 shirts, 2 shorts, 3 hats
B) 12 shirts, 2 shorts, 2 hats
C) 3 shirts, 4 jeans, 2 hats
D) 6 shirts, 2 jeans, 2 hats
E) 12 shirts, 2 jeans, 1 hat

Answers

Answer:

C, D, E

Step-by-step explanation:

You just need to multiply the numbers together.  Whichever choice is equal to 24, is your answer

So when you multiply for each one...

A is 36

B is 48

C is 24

D is 24

E is 24

So since C, D, E multiply to 24, they are the correct answers.

ASAPPPPPP PLEASE HELP MEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

4 weeks per level

Step-by-step explanation:

notice the pint (1,4)

the next is (2, 8)

meaning that in 4 weeks she completes 1 level and in 8 weeks she completes 2 levels.

Simplify -1/2x3/5÷(-59/40)

Answers

Answer:

12/59

Step-by-step explanation:

-1/2x3/5÷(-59/40)

-3/10÷(-59/40)

-3/10*-(40/59)

120/590

12/59

Find the area of the circle.
Use 3.14 for n. Do not round your answer.
Hint: A = tir2
3 in.
Area = [?] inches?
Enter the number that
belongs in the green box.
Enter


Pls someone help

Answers

Answer:

28.26

Step-by-step explanation:

A = (3.14)(3)^2

A = 3.14 * 9

A = 28.26

Answer:

28.26

Step-by-step explanation:

The area of a circle is

A = pi r^2  where r is the radius

A = 3.14 ( 3)^2

A = 3.14 *9

28.26

please help!!!!!!!!!!!

Answers

it should be this y=1/2x+3
I agree with the answer above

What is the equation of this circle?

Answers

Answer:

(x-3)^2+y^2=8

Step-by-step explanation:

I'm going to go ahead and assume the center is (3,0). The radius can be found by computing the distance from the center, (3,0), to a point on the circle, (5,-2).

The distance between two points is calculated by doing sqrt((distance between x's)^2+(distance between y's)^2).

The distance between our x's is 2.

The distance between our y's is 2.

The square of each then is 4 and 4 respectively.

So we have the distance is sqrt(4+4)=sqrt(8).

The radius is sqrt(8).

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is center and r is radius.

If r=sqrt(8), then r^2=8.

(h,k)=(3,0)

(x-h)^2+(y-k)^2=r^2

(x-3)^2+(y-0)^2=8

(x-3)^2+y^2=8

Complete this item.

For the following figure, can you conclude that / | | m? Select true or false.

Answers

Answer:

true

Step-by-step explanation:

:)

What is the midline equation of the function h(x) = -4 sin (x- pi/4)

Answers

Answer:

[tex]y = \boxed0[/tex]

Step-by-step explanation:

we are given a sin function

[tex] \displaystyle h(x) = - 4 \sin(x -\pi /4) [/tex]

we want to figure out the midline of the function graphically The midline of a sinusoidal function is the horizontal line that passes exactly in the midline of its extreme value however since we a function recall that,

[tex] \displaystyle f(x) = a \sin(bx -c) + d[/tex]

where the midline is

[tex]y = d[/tex]

to figure out the midline rewrite the function

[tex] \displaystyle h(x) = - 4 \sin(x -\pi /4) + 0[/tex]

therefore the midline is

[tex]y = \boxed0[/tex]

Find the area of the sector. Round the answer to the nearest tenth.

Answers

Answer:

63.4

Step-by-step explanation:

Area of arc is (pi*(11)^2*(60/360))=63.4

Question 2 of 10
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. None of these
B. What may be true
C. What may be false
D. What must be true
SUBMIT

Answers

D, it’s a process of elimination
D I don’t know for sure but I think it’s d ……………….

What conclusion can be derived by comparing the central tendencies of the two data sets?
A: (7, 6, 3, 1, 6, 2, 4, 6, 3, 5;
B: {2, 2, 2, 3, 4, 5, 2, 8, 7, 6}

Answers

A is the correct answer because u should know

Chloe was given a gift of a conical bird feeder that has a volume of 785.4 cubic centimeters. What is the area of the lid she will need to cover the bird feeder?

Answers

Answer:

392.7 cubic centimeters. Hope that helps :)

Step-by-step explanation:

if triangle ABC = triangle DBC, AB = 10, AC = 7, DC = ?

Answers

Answer:

DC =7

Step-by-step explanation:

if ΔABC ≅ΔDBC then the corresponding sides are

AB = DB = 10

AC = DC = 7

See attachment

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