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IceJOKER [234]
3 years ago
6

5.The ratio of the age of a mother and her son is 5:2. If the

Mathematics
1 answer:
Andreyy893 years ago
5 0

Answer:

The age of mother is:

40 years

Step-by-step explanation:

2a = 5b

b = 16

a = age of a mother

b = age of her son

2a = 5*16

2a = 80

a = 80/2

a = 40

probe:

2*40 = 5*16 = 80

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A 15 ounce alloy containing 30% gold was mixed with an alloy containing 5% gold to get an alloy containing 20% gold. How many ou
Studentka2010 [4]

Answer:

4.5 % alloy

Step-by-step explanation:

Let x = amt of 30% alloy

The resulting total is to be 25 oz, therefore:

(25-x) = amt of 5% alloy:

A typical mixture equation:

.30x + .05(25-x) = .20(25)

.30x + 1.25 - .05x = 5 .30x - .05x = 5 - 1.25

.25x = 3.75

x = 3.75%2F.25

x = 15 oz of 30% alloy required

then

25-15 = 10 oz of 5% alloy:

Check solution

.30(15) + .05(10) = .20(25)

4.5 + .5 = 5

4 0
2 years ago
Why is using coins as money easier than using gold bars?
Solnce55 [7]

Answer:

because coins are more portable

Step-by-step explanation:


5 0
2 years ago
Brandon sold at least 168 tickets for a carnival. He sold 4 more adult tickets than children tickets.
iris [78.8K]

Answer:

80

Step-by-step explanation:

6 0
3 years ago
Mimi recorded a soccer game that lasted 1
lyudmila [28]

9514 1404 393

Answer:

  7 hours

Step-by-step explanation:

4 × (1 3/4) = 4×1 + 4×3/4 = 4 + 3 = 7

Mimi spent 7 hours watching the game.

7 0
2 years ago
Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who
Margaret [11]

tan(40) = (y + 1.5) / (x + 20)

y + 1.5 = (x + 20)[tan(40)]

y = (x + 20)[tan(40)] - 1.5

tan(60) = (y + 1.5) / x

y + 1.5 = (x)[tan(60)]

y = (x)[tan(60)] - 1.5

(x)[tan(60)] - 1.5 = (x + 20)[tan(40)] - 1.5

(x)[tan(60)] = (x + 20)[tan(40)]

(x)[tan(60)] = (x)[tan(40)] + (20)[tan(40)]

(x)[tan(60)] - (x)[tan(40)] = (20)[tan(40)]

(x)[tan(60) - tan(40)] = (20)[tan(40)]

x = [(20)(tan(40))] / [tan(60) - tan(40)]

x = 18.8 meters

6 0
3 years ago
Read 2 more answers
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