MATHEMATICS HIGH SCHOOL

What is the solution to the equation? 3/8=m/32?

Answers

Answer 1
Answer:

Answer:

m=12

Step-by-step explanation:
Answer 2
Answer:

Answer:

m=12

explanation:

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Hey guys! I would be thankful if anyone could help me answer this question. A can manufacturing company needs to purchase labels for the cans they produce. They are planning to produce 200,000 cans that will have a height of 20cm and a radius of 5 cm. If the labels cover the entire curved surface of each can, how many square metres of material will be required to label all the cans?

Answers

In order to not get confused, start by converting cm to m
h=20 cm = 0.2m and r=5cm = 0.05m

The cans are cylinders and we only need the rectangular shape, which is equal to the height x the circumference of the circle (2r(pi)), which you'll have to multiply by 200,000 for the number of cans necessary

your equation is therefore:
A=200,000h(2pi(r))
A=200,000(0.2)(2)(0.05)(pi)
A=4000pi m^2
Surface area for a cylinder = 2πrh

r = 5cm, h= 20cm

Surface area for one can =  2πrh = 2*π*5*20 = 200π = 200* 3.14

Surface area ≈ 628 cm²

For the 200, 000 cans, Total area = 200 000 * 628 = 125 600 000 cm²

But 1 000 000 cm² = 1m²

125 600 000 cm² =     125 600 000 / 1 000 000 = 125.6 m²

Total surface area ≈ 125.6 m²

What is the value of x in the equation 3x – 4y = 65, when y = 4?
the answer is x=27

Answers

What is the value of x in the equation 3x-4y=65 when y=4?

Simple...plug n chug..

3x-4(4)=65

3x-16=65

Now, isolate the variable, x....

3x-16=65
    +16 +16

3x=81

Now, divide,

(3x)/(3) = (81)/(3)

x=27.

Thus, your answer.

The area of the sector formed by the 110 degree central angle is 40 units squared what is the radius

Answers

we know that
area of the circle=pi*r²

if 360° (full circle) has an area of-------------> pi*r²
110°------------------------------> 40 units²
pi*r²=40*360/110--------> pi*r²=130.91------> r²=130.91/pi-----> r²=41.69
r=6.46 units

the answer is
the radius is 6.46 units

Harold spends 1/6 of the year on his aunts farm. He has done this for the last 8 years. What is the total amount of years, in simplest form , that Harold has spent on his aunts farm? Please explain to me step by step how this problem is solved! Thank you

Answers

First, multiply 1/6 times 8.  This gets you 8/6, which reduces to 4/3.  This means that she has spent 4/3 of a year on the farm.  Now if you'd like, you can simplify this to 1 1/3 years, depending on what your teacher wants.

A rhino can run at speeds of about 28 miles per hour. What is that speed in feet per second, to the nearest whole number? (Remember, there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour.)A.189 feet per second
B.88 feet per second
C.36 feet per second
D.41 feet per second

Answers

We have 28 mph.
To convert that to feet we would multiply that by 5,280.
To convert that to seconds we have to divide it by 3,600.
So, basically we have to get 28 and multiply it by 5,280 / 3,600 and that equals
41.066666666 feet per second.
Answer is D

Answer: 41 feet per second


Step-by-step explanation:

Solve for x: −3|2x + 6| = −12 A.) x = 1 and x = 5
B.) x = −1 and x = −5
C.) x = −9 and x = 3
D.) No solution

Answers

Since this is an equation involving an absolute value, let 2x + 6 be positive first such that,
 
                            -3(2x + 6) = -12
                                   2x + 6 = 4
                                        2x = -2,     x = -1
Then, let 2x + 6 be negative,
                             -3(-2x - 6) = -12
                                  -2x - 6 = 4
                                        -2x = 10  ;     x = -5
Thus, the answer to this item is letter B. 
-3|2x + 6| = -12 \n|2x+6|=4\n2|x+3|=4\n|x+3|=2\nx+3 =-2 \vee x+3=2\nx=-5 \vee x=-1
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