Answer:
d 4/5
Step-by-step explanation:
is the best answer of d 4/5
Answer:
23
Step-by-step explanation:
This equation can be derived from the question
let a represent the initial number Gus started with
{[(a x 8) - 12] / 4 } + 7 = 50
subtract 7 from both sides of the equation
[(a x 8) - 12] / 4 } = 43
Multiply both sides of the equation by 4
(a x 8) - 12] = 172
Add 12 to both sides
8a =184
Divide both sides by 8
a = 23.
Answer:$920
Step-by-step explanation:
Since the variation is joint, I=KPr where k is the constant of proportionality.
Plugging in the values of I=$375, P=$1500 and r=5% in the equation I=KPr, the value of k can be calculated. Hence, the formula connecting the three quantities (I,P and r) can be generated.
375 = K (1500×5)
Making k the subject of change,
K = 375/(1500×5)
K=1/20
Formula connecting the three quantities :I =Pr/20
when P=$2300, r=8%,
I = (2300×8)/20
I = $920
<span>1) Express the following ratios in the simplest form.
a) 150 : 400
</span>Solution : <span>
The given ratio is 150 : 400 = 150/400
The common factor of 150 and 400 is 50.
(150 ÷ 50)/ (400 ÷ 50) = 3/8 = 3 : 8.
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b) A dozen to score
</span>Solution : <span>
One dozen = 12 and one score = 20.
So, a dozen to score = 12/20 = 12 : 20.
(12 ÷ 4)/ (20 ÷ 4) [ As the common factor is 4]
= 3/5 = 3 : 5.
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c) 200 grams to 4 kg
</span>Solution : <span>
200 g to 4 kg
As both the quantities are in different units, first make their units same.
1kg = 1000 g
∴ 4 kg = 4000 g.
200 g to 4000 g = 200 / 4000
Common factor of 200 and 4000 is 200.
(200 ÷ 200)/(4000 ÷ 200) = 1/20 = 1 : 20.
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d) Sam earned $4000 and paid $500 as income tax and spent $1500 on household expenses. Find the ratio of : 1) income tax to income 2) household expenses to income 3) savings to earnings
</span><span>Solution </span><span>
Sam’s income = $4000
Income tax = $500
∴ income tax to income = 500/4000
(500 ÷ 500)/(4000 ÷ 500) = 1/8
Ratio of Income tax to income is 1 : 8
Expenses = $1500
∴ Household expenses to income = 1500/4000
(1500 ÷ 500)/ (4000 ÷ 500) = 3/8
Ratio of Household expenses to income = 3 : 8.
Savings = Income – (expenses + income tax)
Savings = 4000 – (1500 + 500) = $2000.
∴ Savings to earnings = 2000/4000
(2000 ÷ 2000)/(4000 ÷ 2000) = ½
Ratio of savings to expenses = 1 : 2.</span>
75 square yards
25-10=15 to get rid of the initial charge, then divide by 0.20 to find out how many square yards. I almost didn't see the question because you didn't really put it in here right
