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mario62 [17]
1 year ago
7

Akbar, Ali and Arman are 3 brothers. The ratio of Akbar's age to Arman's age is 1 : 2 and the ratio of Akbar's age to Ali's age

is 2 : 5. If the eldest boy is 10 years old, how old is the youngest one?
Mathematics
1 answer:
lbvjy [14]1 year ago
6 0

Answer:

The youngest one is 4 years

Step-by-step explanation:

The ratio of Akbar's age to Ali's age is 2 : 5

= 2/5

The oldest = Ali

Hence, let's represent Akbar's age as y

2/5 = y/10

Cross Multiply

5y = 2 × 10

y = 20/5

y = 4 years old.

Akbar's age = 4 years old.

Akbar's age to Arman's age is 1 : 2

= 1/2

Hence, let's represent Arman's age as z

1/2 = 4/z

Cross Multiply

= z = 2 × 4

z = 8 years old

Arman's age = 8 years old.

Therefore, the age of the youngest = 4 years old.

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In order to construct this equation, we will use the variables:
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C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
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We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
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2 years ago
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scoundrel [369]

Answer:

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Step-by-step explanation:

We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 112+45+25m

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In order for amount of money to be equal in accounts of both the runners, we set up:

112+45+25m=50+60m

Upon rewriting the left hand side using commutative law, we get:

112+25m+45=50+60m

Therefore, we can see that the last option is the correct answer.

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Jason is designing the packaging for a new brand of snack crackers. To fit on shelves, the package must not be more than 8 1/2 i
drek231 [11]

Answer:

Step-by-step explanation:

8 1/2 inches  = \frac{17}{2} inches

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The box must be able to hold 100 cubic units of crackers. it means the volume of the box is 100 cubic units.

The base of the package to be squared

And we have the formula:

V = h*S (Area of the base)

=> S = V/h = 100 :  \frac{17}{2} = \frac{200}{17}  

=> the side of square: \sqrt{\frac{200}{17} }

The dimensions for Jason's design are:

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The length and width: \sqrt{\frac{200}{17} }

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2 years ago
A store is selling five cans of tomato sauce for $5.25. What is the unit price? unit price = total price ÷ number of units per p
aleksklad [387]

Answer: Option A

P = \$\ 1.05

Step-by-step explanation:

If we have 5 cans of ketchup they cost $ 5.25. Then the unit price of cans is what each can costs individually.

The unit price should then be less than $ 5.25, and that is the price for 5 cans and we want to know the price for just one can of ketchup.

Then to calculate the price of each can divide the price of the 5 cans by 5.

P = \frac{5.25}{5}

P = \$\ 1.05

8 0
1 year ago
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