The staff takes 1/2 of an hour to assemble 1/8 of the booths. How long does it take the staff to assemble all of the booths?

Answers

Answer 1

Answer:

It takes all staff 3 hours

Step-by-step explanation:

So, first we write down all these important info. It takes half hour for staff to assemble one sixth (1/6) of the booths. First you need to take the fraction 1/6 a whole number by multiplying it by the denominator which in this case is 6 which will give you the answer 1. Next, you do the exact same thing for the other part. Multiply 1/2 by 6 to get 3.

Answer 2

The time to assemble the remaining fraction of the bottle is 3.5 hours.

Time to assemble one-eight of the bottles

The time taken for the staff to assemble one - eight (1/8) of the bottles is given as half (1/2) hour.

Remaining fraction

The remaining fraction of the bottle is calculated as follows;

[tex]= 1 - \frac{1}{8} \\\\= \frac{7}{8}[/tex]

Time to assemble the remaining fraction of the bottles

The time to assemble the remaining fraction of the bottle is calculated as follows;

1/8 ----------------- 1/2 hour

7/8 ---------------- ?

[tex]\frac{7}{8} \times \frac{1}{2} \times \frac{8}{1} = 3.5 \ hours[/tex]

Learn more about time to complete work here: https://brainly.com/question/10929133


Related Questions

Solve this triangle using the law of sines

Answers

Answer:

answer is 6√3

it's right answer

:-))

You are throwing a party at an arcade. You recieve 5 tokens for every dollar spent. Create an equation that describes this situation. T is the total number of tokens and D is the number of dollars.

Answers

Answer: 5D = T

Step-by-step explanation:

A dollar spent will give 5 tokens.

The amount of dollars spent therefore will increase the number of tokens you by fivefold.

Formula is therefore:

5D = T

Testing it.

Assume you spent 5 dollars, how many tokens would you have:

5D = T

5 * 5 = 25 tokens

(3k + 4 1/5) + 8 3/5

Answers

3k+64/5
Hope this helped

PLEASE HELP!


Priya is with her mother at the zoo’s gorilla exhibit. Priya is studying the chart displayed beside the gorilla exhibit, which shows the name and weight of each gorilla. Use the information in the chart to answer the questions in this activity.

Gorilla Weight Plugged into True or False?
5a + 8 = 318
(pounds)
Sophia 318
George 417
Nancy 310
Hank 136
Paula 62
Gavin 24

Part A
Priya’s favorite gorillas are a mother named Sophia and her baby. The zoo attendant said that Sophia weighs 8 pounds more than 5 times her baby’s weight. To determine the baby gorilla’s weight, Priya can use the equation 5a + 8 = 318, where a is the weight of the baby gorilla. Plug the weight of each gorilla into the equation to check which value makes the equation true.

Answers

Answer :

The value that makes the equation true is Paula 62

Step-by-step explanation:

Here, we want to plug the weight of each of the Gorilla to determine the weight that makes the equation true

all we have to do here is that in each of the cases, we substitute the value of a for the weight of each of the Gorilla

Sophia

a = 318

5a + 8

= 5(318) + 8

as we can see this is not equal to 318

George

For George, we substitute a for 417

That will be;

5(417) + 8

This is not 318

for Nancy

5(310) + 8

This is not equal to 318

for Hank

we have a as 136

5(136) + 8

This is not equal to 136

for Paula

5(62) + 8

= 310 + 8 = 318

we can see this is correct

for Gavin,

5(24) + 8

= 128 which is not equal to 318

The only equal value is that of Paula which is our answer

Answer:

Gorilla Weight

(pounds) Plugged into

5a + 8 = 318 True or False?

George 417  

5(417) + 8 = 318

2,093 = 318

false

Nancy 310  

5(310) + 8 = 318

1,558 = 318

false

Hank 136  

5(136) + 8 = 318

  688 = 318

false

Paula 62  

5(62) + 8 = 318

 318 = 318

true

Gavin 24  

5(24) + 8 = 318

 128 = 318

false

Step-by-step explanation:

A mathematics class consists of 55 boys and 65 girls .what is the ratio of girls to the total numbers of students? *
11:13
13:11
13:24
11:24



Answers

Answer:

I think it's maybe 11:55

Answer:

11:13

Step-by-step explanation:

Just simplify 55:65, by dividing by 5

A cube is cut in to three parts by vertical slices find the volume of the shaded area The length and width of original is 20 cm and cut part is 10 cm

Answers

Answer:

4000 cm^3

Step-by-step explanation:

Note that no image was attached for reference purposes

Step one:

We are given that the original length and width of the cube is 20cm

if the cut part is 10cm

hence the dimension of the cut part is

lenght = 20cm

Width= 20cm

Hieght= 10cm

Step two:

the volume of the cut part will be

Volume= 20*20*10

Volume= 4000 cm^3

Solve for the variable.
1. 78 = x - 11

Answers

Answer:

x = 89

Step-by-step explanation:

78 = x - 11

add 11 to both sides of the equation

78 + 11 = x - 11 + 11

78 + 11 = x

89 = x

Answer:

x = 89

Step-by-step explanation:

78 = x - 11

+ 11 = +11 <— we add 11 since we are doing inverse operation

89 = x

Pls help, I know the answer but what I wrote in the box isn't correct
How do I show the answer?

Answers

Answer:

AC=11.38 cm

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

[tex]c^2=a^2+b^2-2ab\cos x[/tex]

The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:

[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]

[tex]AC^2=289+169-442*0.7431[/tex]

[tex]AC^2=129.53[/tex]

[tex]AC=\sqrt{129.53}[/tex]

AC=11.38 cm

help please !! thank you!

Answers

Answer:

.5

Step-by-step explanation:

if you put ur mouse on -2 then move to the right 1.5 you will get .5

Hope this Helps!!!

Answer:

-.5

Step-by-step explanation:

1.5 +-2 is -.5 hope this helps

Solve |x – 4| + 6 = 17.
A. X= 15 and x = -15
B. x= -15 and x= 7
C. x = 15 and x= -7
D. x = -15 and x = -7

Answers

Answer:

[tex]\mathrm{C)\:}x=15,\:-7[/tex]

Step-by-step explanation:

For [tex]|a-b|=c[/tex], there are two possible cases:

[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]

Solving for both cases, we get:

[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]

the ratio of length and breadth of a piece of land is 5:3 and its breadth is 48m. find the perimeter and area of the land.

Answers

Answer:

256 m and 3840 m²

Step-by-step explanation:

The 3 part of the ratio represents 48 m , then

48m ÷ 3 = 16 m ← value of 1 part of the ratio, so

5 parts = 5 × 16 m = 80 m

Then breadth = 48 m and length = 80 m

perimeter = 2l + 2b = 2(80) + 2(48) = 160 + 96 = 256 m

area = lb = 80 × 48 = 3840 m²

-4w + 4 = 12
help math ahh

Answers

Answer:

[tex] - 4w + 4 = 12 \\ - 4w = 12 - 4 \\ - 4w = 8 \\ w = - \frac{8}{4} \\\boxed{w = - 2}[/tex]

w=-2 is the right answer.

Teresa is running the hurdles for the track team. The race times are measured in hundredths of seconds. Teresa’s best time is 19.42 seconds. She needs to run in 18.87 seconds to win the race. If Teresa wins the race, how many seconds better will her new time be? *

a,38.29
b.27.29
c.0.55
d.0.45

Answers

The answer is c - 0.55

Frank made $80 for 5 hours of work,
At the same rate, how much would he make for 17 hours of work?

Answers

Answer:

$272

Step-by-step explanation:

We're going to make an equation

we'll make x hours

5x=80

solve for x and you get 16 dollars an hour

16 times 17 is 272

The answer will be 272$ because 80 divided by 5 equals 16 and 16 times 17 equals 272

what is the degree of the polynomial -x^4+10x^3+x-7

Answers

Answer:

7

Step-by-step explanation:

You can find the degree of a polynomial by adding all of the exponents on a specific variable.

The mass of a large car is 1200 kg. How much force would be required to accelerate the car at a rate of 5 m/s2?

Answers

Answer:

6000/s^2

Step-by-step explanation:

Answer  6000/s^2

Step-by-step explanation:

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

Answers

9514 1404 393

Answer:

  a) $336

  b) $1036

Step-by-step explanation:

a) The interest is computed using the formula ...

  I = Prt

where P is the amount invested at rate r for t years.

  I = $700·0.08·6 = $336

The interest earned is $336.

__

b) The balance of the account is the sum of the original amount and the interest earned:

  balance = $700 +336 = $1036

The balance of the account is $1036.

Simplify the expression:



4b - 24 + 19

4p - 5p - 30p

4.2v - 5 - 6.5v

Answers

For the first expression we will only simplify the constants:

4b - 24 + 19 ——> 4b - 5

The second expression only has variables so we simplify the whole expression

4p - 5p - 30p = -31p


The third expression we will only simplify the variables

4.2v - 5 - 6.5v ——> -2.3v - 5

Need help asap! What is x and y?

Answers

Answer:

C

Step-by-step explanation:

I THINK THAT IS THE ANSWER.

Substitute y=-2x+5 into 2y=2x-8 and solve for x
(help me asap please)!!

Answers

Answer:

x = 3

Step-by-step explanation:

2y = 2x - 8

2(-2x + 5) = 2x -8

-4x + 10 = 2x - 8

+4x           +4x

10 = 6x - 8

+8        +8

18 = 6x

divide both sides by 6

x = 3

Hope this Helps!!!

please help me !!!!!​

Answers

D. 1/12
Since these are percentages, add the numbers so it becomes the probability.
: 2 + 2 = 4
: 3 + 5 = 8
: 8 + 4 = 12
So that means the correct answer is D, 1/12.

Answer:

The answer is A

Step-by-step explanation:

So there are 12 game pieces 4 pieces are the colors he wants so the fraction would be 4/12 and if u simplify the faction you'll get 1/3

Two plumbers charge an initial fee and an hourly rate.
The equation y = 100 + 30x models plumber A's fee, where y is the total charge, in dollars, and x is the number of
hours worked
The table shown represents plumber B's total charge for different numbers of hours.
Plumber B
Hours Total Charges ($)
1
105
2.
160
3
215
2.
Part A: Which plumber charges more money per hour? Explain how you know.
Part B: Which plumber charges a higher initial fee? Explain how you know.
Part C: Which plumber charges less money for working 5 hours? Show your work to justify your answer.

Answers

Answer:

A) Plumber B charges 55 dollars per hour (105=50+55(1)) because for 1 hour the total is 105, meaning that 105 is y and 1 is x. 50+55=105

B) Plumber A charges more because he charges 100 dollars vs Plumber B's 50 dollars.

C) Plumber A:  250=100+30(5)       Plumber B:  325=50+55(5)

Plumber A charges less money for working 5 hours.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that,

Two plumbers charge an initial fee and an hourly rate.

The equation y=100+30x -----(I) models plumber A's fee, where y is the total charge, in dollars, and x is the number of hours worked.

Part A:

From the table, we have (1, 105) and (2, 160)

Now, m=(160-105)/(2-1)

= 55

Substitute m=55 and (x, y)=(1, 105) in y=mx+c, we get

105=55(1)+c

c=60

Substitute m=55 and c=60 in y=mx+c, we get

y=55x+60 -----(II)

By comparing (I) and (II), we can conclude that plumber B charges more hourly fee.

Part B: By comparing (I) and (II), we can conclude that plumber A charges more initial fee.

Part C: Substitute x=5 in y=100+30x, we get

y=$250

Substitute x=5 in y=55(5)+60, we get

y=$335

Plumber A charges less money for working 5 hours.

Therefore, plumber A charges more initial fee.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

What is the slope of the line that passes through the points (-6,8) and (-16,33)? write your answer in the simplest form

Answers

Answer:

slope or m= -5/2

Step-by-step explanation:

What is the equivilent of +367 on a numberline?

Answers

Answer:

367

Step-by-step explanation:

367 because it is positive

Here is a scale drawing of a garden.
Kim wants to plant a tree in the garden according to the following rules:
It must be 7 m from A and 4 m from C.
Place a cross where Kim can plant the tree.
1 cm represents 2 m
D
2.5 cm
А A
B.
4 cm
View One Minute Version

Answers

Answer:

The coordinates of the cross on the scale drawing which locates where Kim can plant the tree is (3.45 cm, 0.58 cm)

Step-by-step explanation:

The question relates to coordinates geometry and the solution can be obtained graphically by construction as shown in the attached drawing

The given parameters of the scale drawing are;

The scale of the drawing is 1 cm = 2 m

The dimensions of the rectangle representing the garden in the scale drawing is given as follows;

The width of the rectangle = 2.5 cm

The length of the rectangle = 4 cm

The required location where the tree is to be planted = 7 m from A and 4 m from point C

Therefore, the location where Kim can plant the tree on the scale drawing is 3.5 cm from point A and 2 cm from point C

Taking the coordinate of point A as the origin, we have;

The coordinates of point A = (0, 0)

∴ The coordinates of point C = (4, 2.5)

The general equation of a circle is (x - h)² + (y - k)² = r²

Where, (h, k) is the coordinate of the center of the circle

The location of the point is on a radius 3.5 cm from point A and a radius 2 cm from point C

Therefore, for point A, we have;

(x - 0)² + (y - 0)² = 3.5²

x² + y² = 12.25...(1)

For point C, we have;

(x - 4)² + (y - 2.5)² = 2² = 4

Which gives;

x² - 8·x + 16 + y² - 5·y + 6.25 = 4

x² + y² - 8·x - 5·y + 22.25 = 4

We have x² + y² = 12.25 from equation (1), therefore, we have;

12.25 - 8·x - 5·y + 22.25 = 4

- 8·x - 5·y = 4 - 22.25 - 12.25 = -30.5

∴ 8·x + 5·y = 30.5

y = (30.5 - 8·x)/5

Therefore, we have;

x² + y² = 12.25 = x² + ((30.5 - 8·x)/5)² = 12.25

Using a graphing calculator we get;

356·x² - 1952·x + 2496 = 0

Which gives;

x = (1952 ± √((-1952)² - 4×356×2496))/(2 × 356)

x = 3.452197227 or 2.03094884081

To two decimal places, we have the coordinates of the points where the tree can be planted given as follows;

Therefore, y = (30.5 - 8×3.452197227)/5 = 0.5764844368

or y = (30.5 - 8×2.03094884081)/5 = 2.8504818547

y = 0.5764844368 or 2.8504818547

To two decimal places, we have the coordinates of the places where Kim can plant the tree are given as follows;

(3.45, 0.58) or (2.03, 2.85)

We note that the point (2.03, 2.85) is at the outside the drawing the area as 2.85 cm is more than 2.5 cm which is the width (height) of the rectangle as shown in the attached drawing created with Microsoft Word.

Therefore, the coordinates of the cross where Kim can plant the tree is (3.45, 0.58)

Answer:

Step-by-step explanation:

Make sure to use protractor and cross tools to get full marks

Thank you

from the adjoining figure, find the value of x

Answers

Answer:

x = 2°

Step-by-step explanation:

x + 2x + 30 = 180°

3x + 30 = 180°

3x = 180°/30°

3x = 6°

x = 6°/3°

x = 2°

3x+8 if x=2
15
13
16
14

Answers

Answer:

14

Step-by-step explanation:

3*2+8

=14

Write the equation of the line that passes through the point (1,4) and is parallel to y=5

Answers

Answer:

The equation of the desired line is thus y = 4

Step-by-step explanation:

A line parallel to y = 5 is a horizontal line.  The x-coordinate of every point on this line can take on any x-value; the y-coordinate is always 5.

The line that passes through the point (1, 4) has the constant y-coordinate 4, whereas x can take on any value.

The equation of the desired line is thus y = 4; this line passes through (1, 4) as required and is parallel to y = 5.

Abigail’s parents pay her $5 an hour for weeding the yard and pay her little sister $3 an hour for raking leaves.

Write an expression in two different ways to represent the amount their parents will pay Abigail and her sister for working the same number of hours
I dont get help me

Answers

Answer: (MAKE ME BRAINLIST PLEASE)

Answer: For Abigail W = $5t

For her younger sibling W= $3t

Bit by bit clarification:

How about we address the compensation with W

t as the time spent on work in hours

Abigail will be paid $5 every hour, her all out compensation will be

W(abg) = $5t

Her younger sibling will be paid $3 every hour, her complete compensation will be

W(lts) = $3t

If a tennis ball has a diameter of 14.6cm, and is cut in half.
What is the volume of the half of the tennis ball? Use 3.14
for pi

Answers

Well it seems as if this day would become a great day to look over on society but seeing that the greats of the ratings on the volunteering it would be an incorrect process for the volunteers to answer math it is very simple that gratitude steps right on in and defeats the walking of the people in the problem it seems as if they have decided to make it seem hard in the testing regulations, The answer is 4.53 Thank you for your time young man or lady.
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