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Agata [3.3K]
3 years ago
9

Please help asap 30 pts

Mathematics
1 answer:
Sergio [31]3 years ago
4 0

4w-2(1-w)=-38\qquad|\text{use distributive property}\\\\4w+(-2)(1)+(-2)(-w)=-38\\\\4w-2+2w=-38\qquad|\text{add 2 to both sides}\\\\4w+2w=-36\\\\6w=-36\qquad|\text{divide both sides by 6}\\\\\boxed{w=-6}

<h3>Answer: d. w = -6</h3>
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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
How to solve this?can you help me i no sure
dangina [55]
To find the answer just substitute the values of P and Q into the equation and evaluate following order of operations

7 0
3 years ago
William has a lemonade stand today he made $17.55 and lemonade sales and one-third that amount in cookie sales how much money di
IgorC [24]

Answer:

Well to find 1/3 of something you have to multiply it by 1/3.

1/3 in decimal form is .33 repeating.

17.55 * .33 = 5.79

17.55 + 5.79 = $23.34

$23.34 is the total profit.


7 0
3 years ago
A kitchen makes 2944 ounces of soup each week. There are 128 ounces in one gallon. How many gallons of soup does the kitchen mak
zhannawk [14.2K]
Step 1:
Find number of gallons in one week
Total oz ÷ oz per gallon= gallons
=2944/128
= 23 gallons in one week

Step 2:
Multiply gallons made in one week by two.
=23 gallons per week * 2
=46 gallons made in 2 weeks

Hope this helps! :)
3 0
3 years ago
find the equation of a line that passes through (2 -1) and ia parallel to y=2x+y-4=0 leave your answer in the form of y=mx+c
Oksanka [162]

Answer:

Y=2x-5

Step-by-step explanation:

Parallel m=2

Y=mx+c

-1=2(2)+c

C=-5

7 0
3 years ago
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