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Otrada [13]
3 years ago
14

Need help please, thanks!

Mathematics
1 answer:
MakcuM [25]3 years ago
4 0
Given:
1 inch : 18 kilometers

Let us use the ratio and proportion method:

a:b = c:d where ad = bc

0.8 inches is <u>14.4 kilometers</u>

1 : 18 = 0.8 : x
x = 0.8 * 18
x = 14.4 km

1.4 inches is <u>25.2 kilometers</u>

1: 18 = 1.4 : x
x = 18 * 1.4
x = 25.2 km

2.1 inches is <u>37.8 kilometers</u>

1 : 18 = 2.1 : x
x = 18 * 2.1
x = 37.8 km

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Leya [2.2K]

Answer:

13.5

Step-by-step explanation:

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Mr. Birdie has worked hard as a Math teacher all his
Nikitich [7]

Answer:

You'll likely need assets worth 10 to 16 times your salary by the time you leave your job. A 45-year-old making $120,000 who hopes to retire at age 60, say, should already have nearly $700,000 set aside. (See the Retire Early calculator.) You can get by with less if you'll have other sources of income.

6 0
3 years ago
Suppose c is inversely proportional to the square of d. If c=6 when d=3⁢, find the constant of proportionality and write the for
NemiM [27]

Answer:

The constant of proportionality is 54.

k = 54

c as a function of d:

c(d) = \dfrac{54}{d^2}

c(7) = \dfrac{54}{49}

Step-by-step explanation:

We are given the following in the question:

c is inversely proportional to the square of d.

\Rightarrow c\propto \dfrac{1}{d^2}\\\\\Rightarrow c = \dfrac{k}{d^2}\\\\\text{where k is constant of proportionality}

When c = 6, d = 3.

Plugging the values, we get,

6 = \dfrac{k}{3^2}\\\\\Rightarrow k = 6\times 3^2 = 54

Thus, the constant of proportionality is 54.

c as a function of d can be written as:

c(d) = \dfrac{54}{d^2}

We have to find value of c when d = 7.

Putting values, we get,

c(7) = \dfrac{54}{(7)^2}=\dfrac{54}{49}

is the required value of c.

4 0
3 years ago
after hitting the black friday sales, sarah bought her dress on sale for $35. She saved 45%, what was the original cost.
8090 [49]

The original cost of the dress is $63.64

Step-by-step explanation:

After hitting the black Friday sales

  • Sarah bought her dress on sale for $35
  • She saved 45%

We need to find the original cost of the dress

The money that Sarah saved is the value of the discount on the dress

Assume that the price of the dress before the black Friday is 100%

∵ The price of the dress before the black Friday is 100%

∵ She saved 45% when she bought it the black Friday

∴ The price of the dress is decreased by 45%

∵ She bought the dress for $35 ⇒ (after discount)

Let use use the percentage method

→ Before discount  :  Discount  :  After discount

→        100%              :       45%     :      55% (100 - 45)

→         x                    :                    :      35

By using cross multiplication

∵ x × 55% = 35 × 100%

- Divide both sides by 55%

∴ x = 63.64

The original cost of the dress is $63.64

Learn more:

You can learn more about percentage in brainly.com/question/12501490

#LearnwithBrainly

3 0
3 years ago
You flip a coin, spin the spinner, and flip a coin again. Find the probability of flipping heads, spinning an even number, and t
NNADVOKAT [17]

Answer:

1/10

Step-by-step explanation:

P heads,even,heads = P heads * P even *P heads =

1/2 * 2/5* 1/2 = 1*2*1/2*5*2= 1/10

7 0
3 years ago
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