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Andre45 [30]
3 years ago
9

Find the value of x.

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
3 0

Answer:

X=√70

Explanation:

explanation is in the image above

hope this helps please mark me brainiest

densk [106]3 years ago
3 0

Answer:

Step-by-step explanation:

I attached a graphic analysis that should be easier to follow.

Set up equations for the three right triangles:

x^2 + z^2 = 10^2

3^2 + y^2 = z^2

y^2 + 7^2 = x^2

-------

Rearrange so that we have values for x^2, y^2, and z^2:

y^2 = x^2 - 49

y^2 = z^2 - 9

x^2 - 49 = z^2 - 9

z^2 = x^2 - 40

-------

Now find a substitution that allows us to produce one equation with only one unknown.  

Satrt with this one:  x^2 + z^2 = 10^2

Then use the expression for z^2 from above (x^2 - 40):

x^2 + (x^2 - 40) = 10^2

2x^2 = 140

x^2 = 70

x =   (70)^(1/2)

-----

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Pre-orders for the yearbook cost $38 each and full price cost $45 each. If 24 students in Mr. Hillman's class purchased yearbook
aleksandr82 [10.1K]

15 students preordered the year book and 9 students paid full price.

<u>Solution: </u>

Given that  

Cost of pre-ordered year book = \$38 each

Cost of full price of year book = \$45 each

Number of students in Mr. Hillman's class purchased yearbooks = 24

Total price spent by 24 students to purchase year book = \$975

Need to determine number of students pre-ordered and number of students paid full price.

Let assume number of student pre-ordered year book = x

As out of 24, x students pre-ordered the yearbook , so remaining are the ones who paid full price

So number of students paid full price = 24-x

Money spent by students who pre-ordered the book = number of student pre-ordered year book multiplied by Cost of 1 pre-ordered year book = x\times38 = 38x

Money spent by students who paid full price = number of students paid full price x Cost of 1 full price year book = (24-x)\times 45 = 1080-45x

Total price spent by 24 students to purchase year book = Money spent by students who pre-ordered the book + Money spent by students who paid full price

\Rightarrow 975=38 x+1080-45 x

On solving above expression for x, we get

\begin{array}{l}{\Rightarrow 975-1080=38 x-45 x} \\\\ {\Rightarrow-105=-7 x} \\\\ {\Rightarrow \frac{-105}{-7}=x} \\\\ {\Rightarrow x=15}\end{array}

Number of student pre-ordered year book = x=15

Number of students paid full price = 24-x = 24-15 = 9

Hence 15 students pre-ordered the year book and 9 students paid full price.

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Step-by-step explanation:

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Step-by-step explanation:

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