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m_a_m_a [10]
3 years ago
14

X^2-11=53 in the simplest form

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
3 0

Answer:

x=±8

Step-by-step explanation:

You add 11 on both sides

x^2=53+11

x^2 = 64 so

x=8 or x=-8

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Juan and Nina are in the Junior High Orchestra. As part of the orchestra they each have to learn two instruments. Juan is learni
Whitepunk [10]

Answer:

Nina practiced the viola for 11.25 hours last week.

Step-by-step explanation:

Juan practiced the violin for 9 hours last week. For each 3 hours that he practices the violin, he practices 2.5 hours of cello. So

3h violin - 2.5h cello

9h violin - xh cello

3x = 9*2.5

x = 7.5

He practiced 7.5 hours of cello, the same as Nina.

For every 3 hours Nina spends practicing the viola she practices the cello for 2 hours. So:

3h viola - 2h cello

xh viola - 7.5h cello

2x = 3*7.5

x = 7.5*1.5

x = 11.25

Nina practiced the viola for 11.25 hours last week.

3 0
3 years ago
Please help me out and explain with steps thank you.
Lana71 [14]

Answer:

at matilda's new job, she will make a rounded salary of $69,000 per year.

Step-by-step explanation:

when solving a problem like this, you have to take her current salary ($64,000 per year) and multiply it to the salary increase percentage by first turning the percentage into a decimal. to turn the percentage into a decimal, you imagine a tiny dot to the right of the 8 like this:

8.

and then you have to move that little dot to the left two times recreating it into .08. you multiply .08 (the salary increase percentage) by her current salary ($64,000) and then also add that number to matilda's current salary to come up with the answer you can round. I'll give you an example of my proscess just so I can give a clear visual of my explanation.

step one:

$64,000

x .08

-------------

5,120

step 2:

$64,000

+$5,120

-------------

$69,120

step 3:

$69,120 is rounded up to the nearest thousands is approximately $69,000

answer: $69,000

6 0
3 years ago
I need help with this
Aliun [14]

-55+13= -42

94i -12i = 82i

answer = -42+82i

4 0
3 years ago
HELP PLEASE!!!!!!!!!!!
Alona [7]

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

The volume of a cylinder = πr²h

= 33 cubic inches

The volume of a cone = ¹/3 πr²h

If the cylinder and come share the same radius and height then ‘πr²h’ part of the formulas is the same for both;

It means the difference in proportionality is ¹/3 (because even π is the same across board). The volume of the cone is therefore;

¹/3 (33)

= 11

= 11 cubic inches

Hope this helps!

6 0
3 years ago
Two ships leave from the same port. One travels west 84 miles and the other travels 62 miles north. Determine the distance betwe
Lerok [7]
The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the <span>hypotenuse.
</span>Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c

So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.
5 0
3 years ago
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