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zavuch27 [327]
4 years ago
7

Write as many equations as possible that could represent the relationship between

Mathematics
1 answer:
IgorC [24]4 years ago
5 0

Answer:

a) Here we have:

"In Family A, the youngest child is 7 years younger than the oldest, who is 18"

Let's define:

Y = age of the youngest child.

O = age of the oldest child.

Then we know that:

Y = O - 7

O = 18

Then we can replace the second equation into the first one:

Y = 18 - 7 = 11.

b) Here we have:

"In Family B, the middle child is 5 years older than the youngest child."

Let's define:

Y = age of the youngest child.

M = age of the middle child.

Here we have only one equation:

M = Y + 5.

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A high school soccer goalie blocked the ball from going into the goal 4 out of 5 times. If the ball kicked toward the goal 25 ti
miskamm [114]
We can use a ratio expression to find the answer to this problem.

Set up the ratio.
4/5 = x/25
Multiply both sides by 25.
100/5 = x
Divide by 5.
20 = x
This means out of 25 times the ball is kicked toward the goal, the goalie will block it 20 times.
4 0
3 years ago
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Three times the square of a number if five less than sixteen times the number. What is the number?
expeople1 [14]
X - the number

3x^2=16x-5 \\
3x^2-16x+5=0 \\
3x^2-15x-x+5=0 \\
3x(x-5)-1(x-5)=0 \\
(3x-1)(x-5)=0 \\
3x-1=0 \ \lor \ x-5=0 \\
3x=1 \ \lor \ x=5 \\
x=\frac{1}{3} \ \lor \ x=5

The number is 1/3 or 5.
5 0
3 years ago
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Ariyonne claims (3,6) that is the point of intersection of the lines y=4x-2 and y=1/2x+5 Is she correct? How do you know?
yan [13]

Answer:

The point of intersection of the lines is  (2,6).

Thus, Ariyonne's claim is incorrect.

Step-by-step explanation:

Given equations:

1) y=4x-2

2) y=\frac{1}{2}x+5

To find the point of intersection, we need to solve the given system of equations.

In order to solve the system we will use substitution method.

We will substitute value of y from first equation in the second equation and solve for x

So, we have

4x-2=\frac{1}{2}x+5

Multiplying both sides by 2 to remove fraction.

2\times(4x-2)=2\times(\frac{1}{2}x+5)

Using distribution.

8x-4=x+10

Subtracting both sides by x

8x-4-x=x+10-x

7x-4=10

Adding 4 to both sides.

7x-4+4=10+4

7x=14

Dividing both sides by 7.

\frac{7x}{7}=\frac{14}{7}

x=2

We can find value of y by plugging in x=2 in the first equation.

y=4(2)-2

y=8-2

y=6

So, the point of intersection of the lines is  (2,6).

Thus, Ariyonne's claim is incorrect.

3 0
3 years ago
Triangle DEF has coordinates
Sergeeva-Olga [200]

Answer:

d) (x,y)right arrow(x+4,y-2)

Step-by-step explanation:

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CDs, savings accounts, and savings bonds are examples of _____. A. savings instruments B. savings accounts C. investment returns
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Answer:

Correct answer is A

Step-by-step explanation:

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