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Naya [18.7K]
3 years ago
15

A+b/a-b = 5/3 what are the following ratios? b:a

Mathematics
1 answer:
klio [65]3 years ago
7 0

Answer:

b : a = 1 : 4

Step-by-step explanation:

<em>\frac{ a + b}{ a - b} = \frac{5}{3}</em>

<em>3 ( a + b) = 5 ( a - b)</em>

<em>3 a + 3 b = 5 a - 5 b</em>

<em>5 b + 3 b = 5 a - 3 a</em>

<em>8 b = 2 a</em>

<em>\frac{b}{a} = \frac{2}{8}</em>

b : a = 1 : 4

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Arthur bought a life insurance policy at $10.98 per month for a 20 year term. What will he pay over 20 years for the premium?
andre [41]
12(months) x 20 (years) = 240

10.98 x 240 = 2635.20

So Arthur will pay $2635.20 over 20 years for premium.

I hope this helps :)
5 0
3 years ago
Read 2 more answers
On a map, the scale shown is 1 inch : 3 miles. If an island is 0.5 square inches on the map, what is the actual area of the isla
gtnhenbr [62]

Answer:

4.5

Step-by-step explanation:

First we need to turn the ratio of 1 : 3 into a fraction

1:3 = 1/3

Next we need to square that fraction

1 x 1 = 1

3 x 3 = 9

Then we turn those numbers into a fraction

1/9

We turn the .5 into a fraction

.5/x

And cross multiply both fraction by each other

1/9 x .5/x

1 x X = X

9 x .5 = 4.5

So

4.5 = X

4 0
3 years ago
Solve for n -3n-5=16
Nezavi [6.7K]

Answer:

n = -7

Step-by-step explanation:

Solve for n:

-3 n - 5 = 16

Hint: | Isolate terms with n to the left-hand side.

Add 5 to both sides:

(5 - 5) - 3 n = 5 + 16

Hint: | Look for the difference of two identical terms.

5 - 5 = 0:

-3 n = 16 + 5

Hint: | Evaluate 16 + 5.

16 + 5 = 21:

-3 n = 21

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 n = 21 by -3:

(-3 n)/(-3) = 21/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

n = 21/(-3)

Hint: | Reduce 21/(-3) to lowest terms. Start by finding the GCD of 21 and -3.

The gcd of 21 and -3 is 3, so 21/(-3) = (3×7)/(3 (-1)) = 3/3×7/(-1) = 7/(-1):

n = 7/(-1)

Hint: | Simplify the sign of 7/(-1).

Multiply numerator and denominator of 7/(-1) by -1:

Answer: n = -7

7 0
3 years ago
Read 2 more answers
In the diagram, AB = 10 and AC = 2/10. What is the
Mekhanik [1.2K]
Answer:
D.20 + 2/10 units

Step-by-step Explanation:
Perimeter is the distance all round a figure.
AB = 10. This is given in the question
AC = √((3-5)²+(4--2)²
= √(4+36)
=√40 = 6.32 units
BC = 5 - -5 = 10 units

Perimeter = AB+AC+BC
= 10+6.32+10
= 26.32 units
From the choices, we do not have an exact answer. The one that mosts suits the perimeter is 20 + units.
3 0
3 years ago
Please help me answer thi question
FinnZ [79.3K]

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (5, 3 )

m = \frac{3-3}{5-2} = \frac{0}{3} = 0

8 0
3 years ago
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