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3 years ago

Graphing how can graphing help solve a problem involving ratios

Mathematics

1 answer:

Alexandra [31]3 years ago

4 0

If you have a ratio like 1 yard for 3 feet you can graph that to get a better understanding of size

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The washer in the image has an inner diameter of 1/4 inch. The outer diameter measures 3/4 inch, and the washer is 1/4 inch thic

Talja [164]

Answer:

0.14 lb . . . closest choice is 0.11 lb

Step-by-step explanation:

The inside and outside radii are 1/8 in and 3/8 in, respectively. Then the area of the top of the washer is ...

A = π(R² -r²) = π((3/8)² -(1/8)²) = π(9/64 -1/64) = π/8 . . . square inches

The height of the stack of 5 washers will be 5×(1/4 in) = 5/4 in. So, the volume of material in the stack of washers is ...

V = Bh = (π/8)(5/4) = 5π/32 . . . cubic inches

The weight of material is the product of volume and density, so is ...

W = (5π/32 in³)(0.285 lb/in³) ≈ 0.1399 lb ≈ 0.14 lb

_____

<em>Comment on the question</em>

Since this answer does not correspond to any of the offered choices, we suggest you ask your teacher to work this out for you. We suspect they will have difficulty justifying any of the answer choices shown here. (0.11 lb corresponds to 4 washers, not 5.)

5 0

3 years ago

Anne-marienhas saved 9 dollars for a new coat that is 1/6 as much money as she needs how much does the coat cost

Tatiana [17]

Answer:

Cost of the coat = $54

Step-by-step explanation:

Given:

She saved = $ 9

To Find:

Cost of the coat = ?

Solution:

Let the price of coat be x

She saved $9

and according to given condition it is 1/6 of the total money she needs for buying coat

by this we have

$\frac{1}{6}*x = 9$

Multiplying both sides by 6

$\frac{1}{6}*x*6 = 9*6$

it becomes

x = 9*6

x = $54

As x is the amount she needs

Cost of the coat = $54

7 0

3 years ago

A student charges twenty dollars per hour to type college papers. The student's average typing speed is fifty words per minute.

coldgirl [10]

Answer:

The student should charge $210 for typing the paper ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- The rate of the student's typing is 50 words per minute

- The students charges twenty dollars per hour to type the college

papers

- There is a paper contains 31,500 words

- We want to now how much the student should charge for it

* At first lets find his rate per hour

∵ 1 hour = 60 minutes

∴ 1 minute = 1/60 hours

∵ His rate = 50 words / 1 minute

- Lets change the minute to hour

∴ His rate = 50/(1 × 1/60) = 3000 words per hour

* Lets find the time he needs to finish the paper

∵ The paper contains 31,500 words

∵ Time = The number of words ÷ his rate of typing

∵ his rate is 3000 words per hour

∴ Time = 31,500 ÷ 3000 = 10.5 hours

∴ He needs 10.5 hours to finish the paper

∵ He charges $20 per hour

∵ The time to finish the paper is 10.5 hours

∵ The price of typing the paper = the charge per hour × number

of hours

∴ The price of typing the paper = 20 × 10.5 = 210

∴ The student should charge $210 for typing the paper

7 0

2 years ago

Read 2 more answers

Solve the equation using factoring polynomials. (z+5)2z

Mkey [24]

(x + 5)²z
(x + 5)(x+ 5)z
(x² + 5x + 5x + 25)z
(x² + 10x + 25)z
(x²)z + (10x)z + (25)z
x²z + 10xz + 25z

6 0

2 years ago

Which expressions are equivalent to the one below? Check all that apply.<br><br>log 2 - log 6

Marina CMI [18]

Answer:

Given the expression: log 2 -log 6

Use the logarithmic rule :

$\log(\frac{m}{n}) = \log m - \log n$

$\log x^n = n\log x$

Use the above rule to solve the expression:

$\log 2 -\log 6 = \log \frac{2}{6} = \log \frac{1}{3}$ [∴ $\log(\frac{m}{n}) = \log m - \log n$ ]

$\log 2 -\log 6 =\log 2+ \log 6^{-1} = \log 2 + \log \frac{1}{6}$ [∴ $\log x^n = n\log x$ ]

value of : log 2 -log 6 = 0.30102999566 - 0.77815125038 = -0.47712125472

7 0

2 years ago

Read 2 more answers