A glassblower can produce several sets of simple glasses in about 3 hours. When the glassblower works with
an apprentice, the job takes about 2 hours. Write an equation that can be used to find the amount of time t, in
hours, it would take for the apprentice to make the same number of sets of glasses when working alone.

Answers

Answer 1

Using the together rate, it is found that it would take the apprentice 6 hours to make the same number of sets of glasses when working alone.

What is the together rate?

The together rate is the sum of each separate rate.

In this problem, the rates are:

Glassblower: 1/3.Apprentice: 1/x.Together: 1/2.

Hence, applying the equation for the together rate:

[tex]\frac{1}{2} = \frac{1}{x} + \frac{1}{3}[/tex]

[tex]\frac{x + 3}{3x} = \frac{1}{2}[/tex]

[tex]2x + 6 = 3x[/tex]

[tex]x = 6[/tex]

It would take the apprentice 6 hours to make the same number of sets of glasses when working alone.

To learn more about the together rate, you can take a look at https://brainly.com/question/25159431

Related Questions

1/4 + 3 = ??
What’s the answer??

Answers

Answer:

3.25

Step-by-step explanation:

divide then add 3

Answer:

3 1/4 or 13/4

Step-by-step explanation:

Miranda owes max $120.00. She pays back 30% of what she owes. How much does she have left to pay back?

Answers

Answer:

I’m pretty sure the answer is $84

Step-by-step explanation:

96% is how much she owes back

What is the area of the parallelogram?

Answers

The area is aprox 24.6

What is the value of the following expression if x = 4, 2x + 3.1

Answers

Answer:

11.1

Step-by-step explanation:

Since x = 4,

2*4 = 8 +3.1 = 11.1

Answer:

11.1

Step-by-step explanation:

2(x) + 3.1

2(4) + 3.1

8 + 3.1

11.1

Jeremiah invested
$
800
$800 in an account that pays 3% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Jeremiah would have in the account 14 years after his initial investment. Round to the nearest tenth (if necessary).

Answers

Answer: 1210.1

Step-by-step explanation:

Find the measure of CP

Answers

Given:

A figure ABCP.

To find:

The measure of CP.

Solution:

In triangles ABP and CBP,

[tex]\angle PAB\cong \angle PCB[/tex] (Given right angles)

[tex]\angle ABP\cong \angle CBP[/tex] (Given)

[tex]BP=BP[/tex] (Common side)

Now,

[tex]\Delta ABP\cong \Delta CBP[/tex] (By AAS property of congruence)

We know that the corresponding parts of congruent triangles are congruent.

[tex]AP=CP[/tex]

[tex]8=CP[/tex]

Therefore, the measure of CP is 8 units.

Find the length of the missing hypotenuse of the right triangle.
15m is left side , 8m is on bottom

Answers

hypotenuse is 17m

a² + b² = c²
8² + 15² = c²
64 + 225 = c²
289 = c²
√289 = √ c²
17 = c

35 POINTS // URGENT

On the first day of a sale, a camera was reduced by $21.60. This represented 12% off the original price. On the last day of the sale, the camera was sold for 70% of the original price. What was the final selling price of the camera?

GIVING BRAINLIEST to best explained answer. If you respond with an irrelevant answer I will report the question and your answer and your points will be taken away.

Answers

Answer:

54$ is the final selling price of the camera.

Hope this helps :)

please help quick!! you may have to zoom in on the picture, thanks!! :)

Answers

Answer:

Step-by-step explanation:

The radius of the circle would be the segment joining QR.

r^2=12^2+9^2

r^2=225

Since the area of a circle is pi r^2

A=225 pi which is answer D.

Help plz

Simplify.
8u+9v+3u−5v

11u + 14v

15uv

11u + 4v

5u + 4v

Answers

Answer:

The answer is 11u + 4v

Step-by-step explanation:

30 students in Mr. Smith’s class, 7

of them participated in the school bake

sale. In Mrs. Johnson’s class, 5 of the 25

students in her class also participated.

Which class had a higher percentage of

students participate?

Answers

Answer:

Mrs. Smith's class

Step-by-step explanation:

7/30 = 23.3%

5/25 = 20%

Angles a and b are ertical angles the measure of angle a is 8x+1 and angle b is 21-2x find each angle measure

Answers

Answer:

Angle a = 17°

Angle b = 17°

Step-by-step explanation:

Angles a and b are vertical angles the measure of angle a is 8x+1 and angle b is 21-2x find each angle measure

Vertical angles are angles that are equal to each other

Step 1

We find x

a = b

Hence,

8x+1 = 21-2x

Collect like terms

8x + 2x = 21 - 1

10x = 20

x = 20/10

x = 2

Step 2

We find each angle

Angle a

8x+1

x = 2

Angle a = 8(2) + 1

= 17°

Angle b

21-2x

x = 2

21 - (2 × 2)

= 21 - 4

= 17°

Therefore:

Angle a = 17°

Angle b = 17°

does anyone know this :C

Answers

1.) 6 cups

2.) 4 pints

3.) 12 pints

4.) 2 gallons

5.) 40 cups

6.) 64 ounces

7.) 20 quarts

8.) 5000 mL

9.) 9 liters

10.) 6 cups

11.) 7 pints

12.) 6 quarts

13.) 17,000 mL

14.) 22 liters

15.) 2 gallons

Answer:

1.) 6 cups

2.) 4 pints

3.) 12 pints

4.) 2 gallons

5.) 40 cups

6.) 64 ounces

7.) 20 quarts

8.) 5000 mL

9.) 9 liters

10.) 6 cups

11.) 7 pints

12.) 6 quarts

13.) 17,000 mL

14.) 22 liters

15.) 2 gallons

Step-by-step explanation:

josie makes fruit punch by mixing fruit juice and lemonade in the ratio 1:4 she needs to make 40 litres of punch for a party
how much of each ingredient does she need

Answers

Answer:

the fruit juice and lemonade required 8 liters and 32 liters respectively

Step-by-step explanation:

The computation of each ingredient does she needed is given below:

Given that

There is liters of punch for a party is 40

And, the ratio of fruit juice to lemonade is 1:4

So,

The fruit juice is

= 40 × 1 ÷ 5

= 8 liters

And, for lemonade it is

= 40 × 4 ÷ 5

= 32 liters

hence, the fruit juice and lemonade required 8 liters and 32 liters respectively

250 is 1.5cm. How thick is 400 pages

Answers

Answer: 2.4 cm

Step-by-step explanation:

1.5 divided by 250 gives that each page is .006cm. 400 times .006 is 2.4cm

if anna sliced a pizza into 18 pieces and there's 5 people how much do they he all get

Answers

Answer:

3.6 slices

Step-by-step explanation:

Answer:

18 divided by 5 is 3.6 so each person will get 3.6 of the pizza.

a square tablecloth is 160cm along each side. it hangs over the table edge 30cm on each side.
a) what is the area of the tablecloth?
b) what is the area of the table?

Answers

a) of those are the only 2 answers you can choose from

I need good tips to study for 2 tests next week

Answers

Get some rest (8hours)
Get your clothes ready the night before
Drink cold water to keep you focused
Eat breakfast
Wear comfortable clothes
Hope you do well on your test

URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

m=-1/2

Step-by-step explanation:

(x1,y1)=(9,4)

(x2,y2)=(3,7)

m= y2−y1 / x2−x1

= 7−4 / 3−9

= 3 / −6

m= -1/2

Brainliest

Answer:

(6,5.5)

Step-by-step explanation:

(9+3)/2,4+7/2

(12/2),(11/2)

(6,5.5)

How to find the answer to x+8=-52

Answers

subtract 8 from both sides. so you get x= -60

x + 8 = -52

-8 -8 subtract 8 on both sides, 8's will cancel out on the left side.

_________ solve for -52 - 8, which is 60.

x = -60, final answer

If you have any further questions, please reach out to me :)

help I really need to do this

Answers

I'm so sorry if this is wrong but it might be 24.

A square box has a volume of 12,167. What is the length?
A. 1.5
B. 179.5
C. 47.1
D. 23
Pleaseee help i will mark you brainliest.

Answers

D

This may be wrong

2a + b = 20
show your work

Answers

Answer:

I posted it above!!!

Step-by-step explanation:

hoped I helped:)

Is 9 a solution of the inequality 20 − f < 11?

Answers

Answer:

Step-by-step explanation:

f = 9

20 - 9 = 11

11 < 11 is incorrect

What is 21 dimes to go 30 dimes

Answers

Answer:

Do a quick conversion: 1 dimes = 0.1 dollars using the online calculator for metric conversions. Check the chart for more details. ... Convert dime to dollar - Conversion of Measurement Units ... 30 dime to dollar = 3 dollar. 40 dime to ... You can do the reverse unit conversion from dollar to dime, or enter any two units below: ...

Step-by-step explanation:

Not an answer but an explanation. Hope this helped :)

The radius of a circle is (2x-3). What is a function for the area of the circle?

Answers

Answer

A = pi * r^2

= pi * (2x^-3)^2

= pi * 2^2 * (x^-3)^2

= pi * 4 * (x^-6)

= 4*pi * x^-6

Step-by-step explanation:

I need help with this question

Answers

Answer:

28 Almonds = 20 Peanuts

14 almonds = 10 peanuts

3.5 almonds = 2.5 peanuts

350 almonds = 250 peanuts

56 almonds = 40 peanuts

Step-by-step explanation:

Laura goes to a Mexican restaurant for lunch. She is planning to order either a chicken or beef dish. If there are 8 choices for chicken and 12 choices for beef, how many options does Laura have to choose from?

A) 4

B) 8

C) 12

D) 20

Answers

Answer:

Step-by-step explanation:

just add 8 and 12

Casey bought 9 tickets to a concert. The total charge was $104, including a $5 service charge.

a) Write and equation you can solve to find c, the cost of one ticket.

b) Solve the equation you wrote in part a.

Answers

981

Step-by-step explanation:

Add 104$ by 5$, then, because she bought 9 tickets, multiply 9 by 109 you get 981

if the measures of the angles of a triangle are in the ratio 1: 2: 3 find the number of degrees in the smallest angle

Answers

Answer:

Smallest angle = 30

Step-by-step explanation:

Ratio = 1 : 2 : 3

Angles are x ,2x , 3x

Sum of all angles of triangle = 180

x +2x +3x = 180

6x = 180

x = 180/6

x = 30

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