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Flauer [41]
3 years ago
12

What does 10-|-5|=? please answer that would be appreciated

Mathematics
1 answer:
erik [133]3 years ago
6 0
5 is the awser I'm pretty sure
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Can you explain step by step for #15 and #16 I have a test on this tomorrow
RUDIKE [14]

Answer:

15.

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. 10 ml of 20% saline and 40 ml of 10% saline

Step-by-step explanation:

A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes

x + y ml that is 50 ml, so

x + y = 50.

There are  0.2x ml of salt in x ml of 20% saline and 0.1y ml of salt in 10% saline. There are 0.12\cdot 50=6 ml of salt in 50 ml of 12% saline. Thus,

0.2x+0.1y=6

15. We get the system of two equations:

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. Solve this system. From the first equation:

x=50-y

Substitute it into the second equation:

0.2(50-y)+0.1y=6\\ \\10-0.2y+0.1y=6\\ \\-0.1y=6-10\\ \\-0.1y=-4\\ \\y=40\\ \\x=50-y=50-40=10

7 0
3 years ago
What is the volume of the prism?
mezya [45]

Answer:

40 \frac{5}{8} cm^{3}

Step-by-step explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length =  6 \frac{1}{2} cm

width  =  2 \frac{1}{2} cm

height  =  2 \frac{1}{2} cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 \frac{1}{2} cm x 2 \frac{1}{2} cm x 2 \frac{1}{2} cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.

  • 6 \frac{1}{2}  = \frac{13}{2}
  • 2 \frac{1}{2} = \frac{5}{2}

Volume = \frac{13}{2} x  \frac{5}{2} x  \frac{5}{2}

When you multiply everything together you should get \frac{325}{8}.

As a mixed number, that would be 40 \frac{5}{8} cm^{3}.

7 0
3 years ago
A picture frame has a perimeter of 62 inches. The difference between the
castortr0y [4]
Answer: each width = 10, each length = 21

Explanation: from the question we know that L=2w + 1 and we also know that a rectangle has the perimeter of 62 when we plug it in the equation we will get 62= 2(2w+1+w) we will multiply the 2 now and we will get 62=4w+2+2w we will combine like terms and we will minus two from both sides ending up with 60=6w we will divide six from both sides and we will get w=10 then we will use l=2w+1 to find the length and it will be 21
8 0
3 years ago
Find Y of the polygon
Deffense [45]
I that 'y' is 45 degrees because of alternate angles (I think its called).

If you look at the large triangle on the left where the corner angles are 35 and 80 and 20+an unknown angle. We can work out the missing angle by doing 180-80-35-20= 45. 

And so if we use the fact that alternate angle must be equal then y= 45 degrees (I think!)

7 0
3 years ago
Read 2 more answers
Use the like bases property to solve the equation:<br> 16^x = 1/4<br> x=
gavmur [86]

Answer:-1/2

Step-by-step explanation:

16^x=1/4

(4^2)^x=4^(-1)

4^2x=4^(-1)

Base cancelled each other since they are the same

2x=-1

Divide both sides by 2

2x/2=-1/2

x=-1/2

7 0
3 years ago
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