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kobusy [5.1K]
3 years ago
8

The smiths have two children. The sum of their ages is 23. The produce of their ages is 132. How old are the children?

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

For this case we propose a system of equations:

x: Let the variable representing the age of the first child of the Smiths

y: Let the variable representing the age of the second child of the Smiths

According to the data of the statement we have to:

x + y = 23\\x * y = 132

From the first equation we have to:

x = 23-y

We substitute in the second equation:

(23-y) * y = 132\\23y-y ^ 2 = 132\\y ^ 2-23y + 132 = 0

We find the solutions by factoring:

We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.

Thus, we have that the factorized equation is:

(y-11) (y-12) = 0

Thus, the solutions are:y_ {1} = 11\\y_ {2} = 12

So, we can take any of the solutions:

With y = 11

Thenx = 23-11 = 12

Therefore, the ages of the children are 11 and 12 respectively.

Answer:

 The ages of the children are 11 and 12 respectively.

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34kurt

Given:

\begin{gathered} a=2i+3 \\ b=i-1 \\ c=-3i+2 \end{gathered}

You know that:

a-b-c=(2i+3)-(i-1)-(-3i+2)

In order to solve the operation, you can follow these steps:

1. Distribute the negative signs. Remember the Sign Rules for Multiplication:

\begin{gathered} +\cdot+=+ \\ -\cdot-=+ \\ +\cdot-=- \\ -\cdot+=- \end{gathered}

Then:

=2i+3-i+1+3i-2

2. Combine the like terms (add the Real Parts and add the Imaginary Parts):

=4i+2

Hence, the answer is: Option B.

3 0
1 year ago
A candle maker adds lemon oil to wax to make the lemon-scented candle shown. How many ounces of oil will he need for the candle
liraira [26]

Answer:

The ounces of oil needed is 5 ounces of oil

Step-by-step explanation:

The first thing to do here is to calculate the volume of the lemon-scented candle given.

Looking at shape the volume can be calculated using the formula L * B * H

where L(length) = 10cm , B(breadth) = 8cm and Height(h) = 25cm

The volume V is thus = 10 * 8 * 25 = 2,000 cm^3

The ounces of oil needed for the candle to have 0.0025 ounces of oil per cm^3 of wax will be = The volume of the lemon-scented candle * 0.0025 ounces of oil per cm^3 of wax

That will be = 0.0025 * 2,000 = 5 ounces

3 0
3 years ago
ACT help!!
DaniilM [7]

g) c=1.98w is your answer

w = weight = 5.5

c = cost = 10.89

10.89 = 1.98(5.5)

10.89 = 10.89 (true)

hope this helps

8 0
3 years ago
15 + 4x = 12 + x nm jjk kj k j jk kj k kj kjkj
Marta_Voda [28]

Answer:

x = −1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Pls i need this asap
Goryan [66]

Answer:

It would have to be (C) 50.27 because 25 is too short for a diameter of 8 seeing it would be 8x4 to get 32 in which 25 is not long enough for. So the answer is C.

6 0
3 years ago
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