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victus00 [196]
2 years ago
8

Each of the following correctly match an English phrase with a mathematical expression

Mathematics
1 answer:
pshichka [43]2 years ago
4 0
Each of the following correctly match an English phrase with a mathematical expression except _____. 


<span>A) a number times seven, 7x </span>
<span>B) a number subtracted from seven, 7 - x </span>
<span>C) the sum of a number and seven, 7 + x </span>
<span>D) a number divided by 7, 7/x 

if this is ur question...answer is D...should be x/7</span>
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An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a
belka [17]
Answer: third option 268.8

Explanation:

For this kind of proble it is very important that you attach the figure because it contains important information to understand the question.

I have attached the figure for better understanding.

1) The top portion (and the bottom is congruent but rotated 180°) of the hourglass is a figure equivalent to a cylinder on top and a cone on bottom.

So the total volume contained in the top portion is the volume of a cylinder + the volume of a cone.

This is how you calculate the volume of the top portion:

1) The height of the cylinder is 54 mm - 18 mm = 36 mm

2) The formula for the volume of a cylinder is V = π (radius)^2 * height

radius = 8 mm
height = 36 mm

=> V = π(8mm)^2 * 36 mm = 2304π (mm)^3

3) The formula for the volume of a cone is V = (1/3)π(radius)^2 * height

radius = 8 mm
height = 18 mm

V = (1/3)π(8mm)^2 * 18 mm = 384π (mm)^3

4) The total volume of the top portion is volumen of the cylindrical part + voume of the cone:

Total voluem = 2304π (mm)^3 + 384π (mm)^3 = 2688π (mm)^3

5) To find the number of seconds <span>it take until all of the sand has dripped to the bottom of the hourglass you have to divide the total volumen of sand by the rate:

time in seconds = total volume of sand / rate of dripping

time in seconds = [2688 π (mm)^3 ] / [10π (mm)^3 / s] = 268.8 s

That is the answer: 268.8 s
</span>

4 0
3 years ago
Read 2 more answers
Dominick iS training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each
Yuri [45]

Answer:

htjyrjrjtuk6j556jj656

6 0
2 years ago
When evaluating the expression 3 x (3 + 12/3) - 4, Ryan began with 3 + 12. What was Ryan's mistake?
KIM [24]

Answer:

He has to divide 12/3 first

Step-by-step explanation:

it’s like pemdas you have to do that first then you go on to added the 3+ whatever 12/3 is

3 0
3 years ago
Read 2 more answers
Simplify equation (4 3i)(1 2i)
MrRa [10]
1 times 4 =4 then 5i  
Equation:
5i + 4
3 0
3 years ago
Presenting your findings best fits which step of the statistical process?
Leona [35]

Answer:

Interpret and compare the data.

Step-by-step explanation:

elim options 1 and 2

analyzing means you don't have findings

5 0
2 years ago
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