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sdas [7]
2 years ago
11

What is the lateral surface area of a cylindrical-shaped candle with a radius of 3 cm and a height of 15 cm? (Use 3.14 for .) A.

847.8 sq cm B. 45 sq cm C. 282.6 sq cm D. 339.12 sq cm

Mathematics
1 answer:
galben [10]2 years ago
5 0
I hope this helps you

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It was recently estimated that females outnumber males by about three or two. If there are 1770 people in a county, how many of
max2010maxim [7]

GIVEN

1) Females outnumber males by 3 to 2.

2) There are 1770 people in the city.

SOLUTION

Let the number of males be x and the number of females y. Therefore, the total number of people can be written to be:

x+y=1770\text{   -----------(1)}

If there are 3 females for every 2 males, we have that:

\begin{gathered} \frac{y}{3}=\frac{x}{2} \\ \therefore \\ x=\frac{2y}{3}\text{   ----------(2)} \end{gathered}

We can substitute equation (2) into equation (1) and solve for y:

\begin{gathered} \frac{2}{3}y+y=1770 \\ \frac{2y+3y}{3}=1770 \\ 5y=1770\times3 \\ 5y=5310 \end{gathered}

Dividing both sides by 5, we have

y=1062

There are 1062 females in the county.

3 0
1 year ago
There is a spinner with 10 equal areas, numbered 1 through 10. If the spinner
Ksenya-84 [330]

Answer:

10%

Step-by-step explanation:

The multiples of 2 are 2,4,6,8,10, and so on

The multiples of 5 are 5, 10, 15, 20 , 25, and so on

It is evident that the only one that matches up between 1-10 is 10.

There are 10 options, and our chances are random. There is only 1 option for it to be a multiple of both 2 and 5. Therefore, the probability is 1/10, or 10%

3 0
3 years ago
Angelica reads 15 pages of a book each day. In 10 days, she reads 200 pages. Assume the relationship is linear. Find and interpr
Phantasy [73]

Given:

Angelica reads 15 pages of a book each day.

In 10 days, she reads 200 pages.

Assume the relationship is linear.

To find:

The rate of change and initial value.

Solution:

The slope intercept form of a linear function is:

y=mx+b            ...(i)

Where m is the slope and b is the y-intercept.

Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and m=15.

In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).

Putting x=10,y=200,m=15 in (i), we get

200=15(10)+b

200=150+b

200-150=b

50=b

So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.

Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.

5 0
3 years ago
Which equation shows 6(x + 4) = 2( y + 5) solved for y? A. y = x + 3 B. y = 3x + 5 C. y = 3x + 7 D. y = 3x + 17
UNO [17]

Answer:

C

Step-by-step explanation:

Given

6(x + 4) = 2(y + 5) ← distribute parenthesis on both sides of the equation

6x + 24 = 2y + 10 ( subtract 10 from both sides )

6x + 14 = 2y ( divide all terms by 2 )

3x + 7 = y, hence

y = 3x + 7 → C

4 0
2 years ago
The fish population is growing 3 % each year in a local lake. The function to model this is A = A (1 + r)' where A is the ending
Schach [20]

Answer:

that all persons held as slaves" within the rebellious states "are, and henceforward shall be free."

7 0
2 years ago
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