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bearhunter [10]
3 years ago
14

What is the unit rate for the ratio 4/7: 8/21?

Mathematics
1 answer:
erik [133]3 years ago
5 0

Answer:

The unit rate is 1.5

Step-by-step explanation:

Given

Ratio = 4/7 : 8/21

Required

Determine the unit rate

To do this, we need to express the ratio as:

Ratio = m : 1

<em>Where m is the unit rate</em>

Ratio = 4/7 : 8/21

Express as fraction

Ratio = \frac{4/7 }{ 8/21}

Solve

Ratio = \frac{4}{7} * \frac{21}{8}

Ratio = 1.5

Express as ratio

Ratio = 1.5 : 1

<em>Hence, the unit rate is 1.5</em>

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Evaluate x + y + z for x = 2, y = -3, z = -4.
stiks02 [169]
X+Y+Z=2+(-3)+(-4)=-5
That's your answer, lovely~
4 0
3 years ago
Read 2 more answers
Custom Greetings places an order for 300 reams of card stock paper. Its supplier offers Custom Greetings a 35% trade discount. I
Y_Kistochka [10]

Answer:

<em>Net price: $4972.50</em>

Step-by-step explanation:

<u>Percentages</u>

We know a ream of paper has a list price of $25.50. Custom Greetings placed an order for 300 of them. If they have purchased them at list price, the total price would have been

300*25.50=$7,650

But we also know there was a 35% trade discount, so the net price of their order is

$7,650-$7,650*35/100=$4972.50

7 0
3 years ago
If the cube above has a surface area of 54cm^3, what is the volume of the cube?
Colt1911 [192]

9514 1404 393

Answer:

  27 cm³

Step-by-step explanation:

The surface area of a cube is ...

  SA = 6s²

Then the edge length is ...

  54 cm² = 6s² . . . . . please note that cm³ is not the appropriate unit for area

  9 cm² = s² . . . . . .divide by 6

  3 cm = s . . . . . . . take the square root

The volume of a cube is ...

  V = s³

  V = (3 cm)³ = 27 cm³

The volume of the cube is 27 cm³.

3 0
3 years ago
What is the slope of a line that is perpendicular to the line x=-3?
jonny [76]
Perpendicular = Negative Reciprocal

-3 --> -1/3 ---> 1/3

Therefore it is C
7 0
3 years ago
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The city of Anville is currently home to 16000 people, and the population has been growing at a continuous rate of 4% per year.
Nesterboy [21]

Answer

After 13.15 years the population of both towns will become equal.

Step-by-step explanation:

Population of the city Anville is given by using the compound interest formula  

The formula of compound interest

A = p( 1+r/n)^n*t

using this we get

P1 = 16000 (1 +\frac{0.04}{1}) ^1*t

Population of the city of Brinker will be

P2 = 11000( 1  + \frac{0.07}{1}) ^1*t

now to make equal population in both towns

P1=P2

16000 (1 +\frac{0.04}{1}) ^1*t = 11000( 1  + \frac{0.07}{1}) ^1*t

(\frac{1.04}{1.07} )^t = \frac{11}{16}

t = 13.15 years

5 0
3 years ago
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