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alexandr1967 [171]
3 years ago
14

Evaluate 8 times 6+(12-4)%2

Mathematics
1 answer:
Rudik [331]3 years ago
6 0

Answer:

I'm going to assume that the percentage sign means divide.

52

Step-by-step explanation:

8*6+(12-4)/2

8*6+(8)/2

48+8/2

48+4

52

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The fish tank has side lengths 20in, 10in and height 15in. The water level is two inches below the top of the tank. A glass sphe
Kitty [74]

Answer:

Part 1) The new distance from the water to the top of the tank is 1.979\ in

Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95

Step-by-step explanation:

step 1

Find the total volume of the tank

V=20*10*15=3,000\ in^{3}

step 2

Find the volume of the tank if the water level is two inches below the top of the tank

V=20*10*(15-2)=2,600\ in^{3}

step 3

Find the volume of the glass sphere

The volume of the glass sphere is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=1\ in

assume

\pi=3.14

substitute

V=\frac{4}{3}(3.14)(1)^{3}

V=4.2\ in^{3}

step 4

What is the new distance from the water to the top of the tank?

we know that

2 in -----> represent (3,000-2,600)=400\ in^{3}

so

using proportion

Find how many inches correspond a volume of 4.2\ in^{3}

\frac{2}{400}\frac{in}{in^{3}}=\frac{x}{4.2}\frac{in}{in^{3}}\\ \\x=4.2*2/400\\ \\x=0.021\ in

The new distance from the water to the top of the tank is

2-0.021=1.979\ in

step 5

Find how many of these balls can be put into the tank with the tank not overflowing

we know that

The volume of one ball is equal to  4.2\ in^{3}

using proportion

\frac{1}{4.2}=\frac{x}{400}\\ \\x=400/4.2\\ \\x=95.23\ balls

therefore

The maximum number of balls that can be put into the tank with the tank not overflowing is 95

4 0
3 years ago
Subtract (8.5107)-(4.5109) 1) Determine the smallest power of 10. 2) Decrease the larger power of 10 until it matches the one fo
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Answer:

which answer best describes this picture

7 0
2 years ago
A. What is the slope of ABC?
givi [52]
A. 2/5
B.2/5
C. The slope of ABC and AGH are equal
5 0
3 years ago
I need help if anyone can help me with a few problems please help me
jok3333 [9.3K]
I think it’s the number 3 I’m not sure I’m learning this stuff rn I’m getting the hang of it just it’s hard and not hard at the same time
5 0
3 years ago
Use the diagram that awnser the questions.
CaHeK987 [17]
Part A
 The first thing we must do in this case is to hide the slopes of each line.
 line m:
 m = (- 4-3) / (0 - (- 4))
 m = -7 / 4
 Line n:
 n = (- 2-2) / (3-1)
 n = -4 / 2
 n = -2
 Answer:
 Lines m and n are not parallel because their slopes are different.

 Part B:
 
We look for the slope of the K line:
 k = (1 - (- 3)) / (4 - (- 3))
 k = 4/7
 We observe that it is true that:
 k = -1 / m
 Answer: 
 The lines are perpendicular.
8 0
3 years ago
Read 2 more answers
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