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Natali5045456 [20]
2 years ago
6

The distance between City A and City B is 500 miles. A length of 1.8 feet represents this distance on a certain wall map. City C

and City D are 2.16 feet apart on this map. What is the actual distance between City C and City​ D?
Mathematics
1 answer:
shusha [124]2 years ago
6 0

Answer:

  600 miles

Step-by-step explanation:

The actual distances between the cities are expected to be proportional to those on the map.

__

  AB/(1.8 ft) = CD/(2.16 ft) . . . . ratio of miles to feet is constant

  CD = AB(2.16 ft)/(1.8 ft) = (500 mi)(6/5)

  CD = 600 mi

The actual distance between City C and City D is about 600 miles.

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9 pencils cost $7.74<br> Which equation would help determine the cost of 6 pencils?
Stells [14]

Answer $5.16

Step-by-step explanation:

$7.74 divided by 9 is 0.86 so 0.86 per pencil mutiply that by 6 because you have six pencils and you get 5.16 for six pencils

5 0
3 years ago
Read 2 more answers
Mohit pays rupees 9000 as an amount on the sum of rupees 7000 that he had borrowed for 2 years.
Sphinxa [80]

Answer:

The required rate of interest   =   14.285%

Step-by-step explanation:

Here, The principal amount = 7,000

The final paid amount = 9,000

Time = 2 years

Let us assume the rate of interest = R

Now, Simple Interest  =  Amount - Principal

                                      =  9,000 - 7,000  = 2,000

So, the SI on the given principal for 2 years  = 2,000

\textrm{SIMPLE INTEREST } = \frac{P \times  R \times T}{100}\\\implies 2000 = \frac{7,000 \times  R \times 2}{100}\\\implies R = \frac{2,000 \times 100}{7,000 \times 2}  = 14.285

or, R =  14.285%

Hence, the required rate of interest   =   14.285%

8 0
3 years ago
What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?
hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

<u>20 - 16 = 4</u>

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

5 0
3 years ago
1.
Mama L [17]

Answer: x=25, y=19

Step-by-step explanation: Because the triangle is equilateral, all the angles must be equal to 60 degrees. So 2x+10=60. 2x=50 and x=25. Then the same thing: 3y+3=60. 3y=57, y=19.

3 0
3 years ago
Raise g to the 7th power, multiply the result by 4, then subtract f from what you have
WINSTONCH [101]

Answer:

f - 4(g^7)

It's simple algebraic operations!

7 0
2 years ago
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