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3 years ago

Y is between x and z, xy = 13.8, xz =21.4. find YZ

1 answer:

4 0

$\bf \underset{{~\hspace{7em}XZ = 21.4}}{
\stackrel{XY=13.8}{X\rule[0.35em]{17em}{0.25pt}Y}\rule[0.35em]{10em}{0.25pt}Z
}
\\\\\\
XZ=XY+YZ\implies XZ-XY=YZ\implies 21.4-13.8=YZ\implies 7.6=YZ$

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Ruby wanted to get an iPod for 350$ she already had 52$ saved and if she worked for 8 hours a week for 9$ an hour how many weeks

WARRIOR [948]

Answer:

I believe that the answer is 4.13 weeks

Step-by-step explanation:

Since she already has $52 you can automatically start by doing:

$350 - $52 = $298

Since she works 8 hours a week and earns $9 per hour:

8 hours x $9 = $72

Then, take $298 ÷ $72 = 4.13 or about 4 weeks

I divide 298 by 72 because $72 is how much she will earn per week, and by dividing this number by the total amount that she has left to pay narrows it down to about how long she has to save for.

Hope this helps!!

4 0

2 years ago

The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. The park offers half off all en

hjlf

Distribute +1
78=1/2x+x-6
combine like terms
1=(2/2)
(1/2)+(2/2)= 3/2
78=3/2x-6
Add 6 to both sides
84=3/2x
Divide by (3/2)
x=$56=adult ticket
Child ticket = x-6=56-6=$50
$50

7 0

3 years ago

I need help solving this problem. <img src="https://tex.z-dn.net/?f=4x%20cos%20%5E%7B-1%7D%20%282x%2B4%29-%20%5Csqrt%7B3-3%20x%5

Gnesinka [82]

Given:
$f(x)=4xcos^{-1}(2x+4)-\sqrt{3-3x^2}$

Using
$\frac{d}{dx}cos^{-1}(x)=-\frac{1}{\sqrt{1-x^2}}$
we derive
$\frac{d}{dx}4xcos^{-1}(2x+4)$
$=4cos^{-1}(2x+4)-\frac{8x}{\sqrt{1-(2x+4)^2}}$

Similarly, using
$\frac{d}{dx}\sqrt{x}=\frac{1}{2\sqrt{x}}$
we derive
$\frac{d}{dx}(-\sqrt{3-3x^2})$
$=\frac{3x}{\sqrt{3-3x^2}}$

Therefore, the derivative is
$f'(x)=\frac{d}{dx}(4xcos^{-1}(2x+4)-\sqrt{3-3x^2})$
$=4cos^{-1}(2x+4)-\frac{8x}{\sqrt{1-(2x+4)^2}}+\frac{3x}{\sqrt{3-3x^2}}$

3 0

3 years ago

Read 2 more answers

Based on these segment lengths, which group of segments can form a triangle? A. 3, 10, 14 B. 8, 7, 13 C. 3, 2, 5 D. 20, 7, 13

ICE Princess25 [194]

Answer:

it is B

Step-by-step explanation:

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5 0

3 years ago

14) Complete.

ollegr [7]

Finance charge is: d.) $69.25.

<h3>Finance charge</h3>

Using this formula

Finance charge=(Monthly payment× Number of payment)-(Purchase price-Down payment)

Let plug in the formula

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Finance charge=$270-$200.75

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Therefore the Finance charge is: d.) $69.25.

Learn more about finance charge here:brainly.com/question/3436429

brainly.com/question/4403314

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4 0

1 year ago