On a map there are 3 cm between two cities the actual distance between cities is 45 km what is the scale used for the map

1 answer:

6 0

Answer : 15

to find the scale you divide. 45/3 = 15.

this gives you the scale 15

i don’t know how else to explain it but i hope this helps

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Kerry and her brother and noticed there is 3/4 of a pint of ice cream in the freezer. After they eat some ice cream there is 1/3

7nadin3 [17]

Answer:

$\frac{5}{12} \ of\ a \ pint$ .

Step-by-step explanation:

Given:

Kerry and her brother and noticed there is 3/4 of a pint of ice cream in the freezer.

After they eat some ice cream there is 1/3 of a pint left.

Question asked:

How much ice cream did Kerry and her brother eat ?

Solution:

Total ice cream in the freezer = $\frac{3}{4} \ of\ a\ pint$

Ice cream left = $\frac{1}{3}\ of\ a \ pint$

<h3>They ate = Total ice cream in the freezer - Ice cream left after they ate</h3>

$=\frac{3}{4} -\frac{1}{3} \\ \\\\Taking \ LCM \ of 4 \ and\ 3, we \ got ,12\\ \\=\frac{3\times3-4\times1}{12} \\\\ =\frac{9-4}{12} \\ \\ =\frac{5}{12}$

Thus, Kerry and her brother ate $\frac{5}{12} \ of\ a \ pint$ .

7 0

3 years ago

A sum of $4200 was invested, part at 8% and the remainder at 11%. If $426.00 was earned in interest after one year, how much was

enot [183]

Answer:

$3000 was invested at 11%.

Step-by-step explanation:

The total interest was $426. This was comprised of interest earned at 8% (represented by e) and (separately) interest earned at 11% (represented by v).

Then e + v = $4200 total investment, and

i = $426 = e(0.08)(1 year) + v(0.11)(1 year)

We eliminate the variable e as follows: since e + v = $4200, e = $4200 - v. Thus,

i = $426 = e(0.08)(1 year) + v(0.11)(1 year) becomes:

i = $426 = ($4200 - v)(0.08)(1 year) + v(0.11)(1 year)

This is one equation in one unknown, the amount of $ invested at 11%.

Performing the indicated multiplications:

426 = 4200(0.08) - 0.08v + 0.11v. Simplifying this further, we get:

426 = 336 + 0.03v.

Then 90 = 0.03v, and v = 90 / 0.03 = $3000.

$3000 was invested at 11%.

6 0