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andrey2020 [161]

3 years ago

5

Algebra about ages please help

1 answer:

valentinak56 [21]3 years ago

3 0

To solve this problem, we need to recognize that Harry's age is given as "n". We can use this value and the given information to write expressions representing each person's age.

For Example, Jo is 2 years older than Harry and Harry's age is represented by the variable n. This means that n (Harry's age) plus 2 would equal Jo's age. This can be represented by the expression: n +2.

Next, we know that Kate is twice as old as Jo, and Jo's age is represented by the expression n+2. This means that 2 times Jo's age would be equal to Kate's age, or Kate's age = 2(n+2) or 2n +4.

Therefore, your answer is that Jo's age is n + 2 and Kate's age is 2n + 4.

Hope this helps!

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An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on

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90 engines must be made to minimize the unit cost.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

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It's vertex is the point $(x_{v}, y_{v})$

In which

$x_{v} = -\frac{b}{2a}$

$y_{v} = -\frac{\Delta}{4a}$

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How many engines must be made to minimize the unit cost?

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2 years ago

A box holding pennies, nickels and dimes contains thirteen coins with a total value of 83 cents. How many coins of each type are

Art [367]

Answer:

The number of pennies,nickels and dimes are (p,n,d)=(3,4,6).

Further explanation:

Given:

A box holding pennies, nickels and dimes contains thirteen coins in a box.

Total value is 83 cents.

Calculation:

Consider p,n and d be the number of pennies, nickel and dimes.

Now, total is 13 coins so $p+n+d=13$

As we know that these following are US coin.

Penny=1 cent

Nickel=5 cents

Dime=10 cents

Step 1:

The value is already given as 83 cents that is 80+3 cents.

80 cents can be possible in many combinations as follows:

(N,D)=(0,8),(2,7),(4,6),(6,5),(8,4),(10,3),(12,2),(14,1),(16,0)

It is given that the total number of cents is 13 so we choose (4,6) as (n,d) .

So the value of nickel n=4

Dimes d=6

Step 2:

The value of p is calculated as follows:

Substitute 4 for n, 6 for d in equation $p+n+d=13$ as follows:

$p+4+6=13$

$p+10=13$

$p=13-10$

p=3

Thus, the number of pennies,nickels and dimes are (p,n,d)=(3,4,6).

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3 years ago