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viva [34]
3 years ago
10

All of the girls are Danielle's cabin at camp are the same age. Their counselor is 3 times their age. Danielle's age and her cou

nselor's ages at up to 28. Write an equation that can be used to find the ages of Danielle and her counselor.
Mathematics
1 answer:
FromTheMoon [43]3 years ago
8 0

Answer:

see the explanation

Step-by-step explanation:

Let

D -----> Danielle's age

C -----> Counselor's age

we know that

C=3D ----> equation A

D+C=28 ----> equation B

substitute

equation A in equation B

D+3D=28 ----> equation that can be used to find Danielle's age

Solve for D

4D=28

D=7

<em>Find the value of C</em>

C=3D  ---->  equation that can be used to find Counselor's age

substitute the value of D

C=3(7)=21

therefore

Danielle's age is 7 and Counselor's age is 21

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W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p–30, what is WZ?
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\large{ \tt{❃ \: EXPLANATION}} :

  • You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.

  • We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.

\large{ \tt{❁ \: LET'S \: START }: }

  • Set up an equation & solve for p :

\large{ \bf{☄ \: p  - 30 =  \frac{1}{2}  p }}

\large{ \tt{↦ \frac{1}{2} p = p - 30}}

\large{ \tt{↦ \frac{1}{2} p - p =  - 30}}

\large{ \tt{↦ \frac{p - 2p}{2} =  - 30 }}

\large{ \tt{↦p - 2p =  - 60}}

\large{ \tt{ ↦ \: - p =  - 60}}

\large{ \tt{↦p = 60}}

  • The value of p is 60

\large{ \tt{❇ \: REPLACING \: VALUE}} :

\large{ \tt{↬ \: wz = p - 30 =  60 - 30 =   \boxed{\boxed{ \tt{30 }} }✔}}

  • Hence , WZ = 30 .

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y=x+5

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Answer:

2 hours and 7 minutes

Step-by-step explanation:

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