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AlexFokin [52]
3 years ago
13

Elizabeth met 24 of her cousins at a family reunion. the number of male cousins m was 6 less than twice the number of female cou

sins f . write a system of equations to find the number of male cousins and female cousins​
Mathematics
1 answer:
atroni [7]3 years ago
5 0

There are 14 male cousins and 10 female cousins.

Step-by-step explanation:

Let,

m be the male cousins and f be the female cousins

According to given statement;

m+f =24   Eqn 1

m= 2f - 6   Eqn 2

Putting value of m in Eqn 1

2f-6+f=24\\3f=24+6\\3f=30

Dividing both sides by 3

\frac{3f}{3}=\frac{30}{3}\\f=10

Putting f=10 in Eqn 1

m+10=24\\m=24-10\\m=14

There are 14 male cousins and 10 female cousins.

Keywords: Linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/7207785
  • brainly.com/question/7265276

#LearnwithBrainly

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Riley has set up a six week payment schedule to pay for his upcoming school camp. he has already put down a 15 percent deposit a
anyanavicka [17]

Answer:

$32.30 each week

Step-by-step explanation:

Deposit = 15%  = $34.20

⇒ total cost of camp = (34.20 ÷ 15) x 100 = $228

Balance left after deposit = 228 - 34.20 = $193.80

If paying the remaining balance in 6 weekly installments,

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4 0
2 years ago
What are the transformations to this quadratic function y= (x+4) power of 2 - 8
I am Lyosha [343]

Answer:

Horizontal shift of 4 units to the left.

Vertical translation of 8 units downward.  

Step-by-step explanation:

Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:

The vertex form of the quadratic function is y = a(x - h)² + k

Where:

The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).

The axis of symmetry occurs at <em>x = h</em>.

<em>a</em> =  determines whether the graph opens up or down, and makes the graph wider or narrower.

<em>h</em> = determines how far left or right the parent function is translated.

<em>k</em> = determines how far up or down the parent function is translated.

Going back to your quadratic function,

          y = (x + 4)² - 8

  • The vertex occrs at (-4, -8)
  • a is assumed to have a value of 1.
  • Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.  
  • Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.

Please mark my answers as the Brainliest, if you find this helpful :)

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Which expression is equivalent to 18s+9t+36
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18(s+t/2+2)

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Which number would not go in the shaded part of the Venn diagram?
spin [16.1K]

Answer:

A 3.14159.......

Step-by-step explanation:

We need a non rational number

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