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3 years ago

If 3/4 of an inch on a map is equal to 45 miles , what does 1 inch represent?

Mathematics

1 answer:

OLEGan [10]3 years ago

5 0

Answer:

60 miles

Step-by-step explanation:

if 45 = 3/4

divide 45 by 3 = 15

15 * 4 = 60

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The explicit formula for the geometric sequence 10,30,90,180

alukav5142 [94]

Answer:

$a_{n}$ = 10 $(3)^{n-1}$

Step-by-step explanation:

The n th term of a geometric sequence is

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

Here a = 10 and r = 30 ÷ 10 = 3, thus

$a_{n}$ = 10 $(3)^{n-1}$

7 0

3 years ago

Read 2 more answers

kwasi thought of a number, multiplied it by7/2 and added 16 to the results.if the final answer was 30.what number did he think o

ziro4ka [17]

Answer:

Step-by-step explanation:

represent the number he thought of with x

$\frac{7}{2} x + 16 = 30$

multiply through with the LCM which is 2
$2 \times \frac{7}{2}x + 16 \times 2 = 30 \times 2$
$7x + 32 = 60$
$7x = 60 - 32$
$7x = 28$
$\frac{7x}{7} = \frac{28}{7}$
$x = 4$

7 0

3 years ago

Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Solution:

Given that,

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

Use the following law of exponent

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Thus the given expression is simplified

8 0

3 years ago

Roxanne has $80 in a savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much will she have

finlep [7]

104 because 10% of 80 is 8 years meaning 8+8+8=24 add 24 to 80 and ur answer is 104

3 0

3 years ago

-5(-3x+10)=30 what is x

Feliz [49]

Answer:

5.33333333...

Step-by-step explanation:

it will be like -5 out the bracket x - 3 x which gives you 15 then we'll check again - 5 then you times it by there 10 in the bracket and then it gives you 50 and then it will be there in 15 x - 50 equals to 30 then you take the -50 to the other side where there is 30

then it will be 15 x equals to 30 + 50 and then then 15 x equals to 8 and then you divide both of the sides with 15 then get your answer

-5 (-3x+10)=30

15x-50=30

15x=30+50

15x/15=80/15

x=5.33333...

3 0

3 years ago