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Elena-2011 [213]
3 years ago
11

Nick can type 30 words a minute. How many words can be typed in 9.5 minutes?

Mathematics
1 answer:
iren [92.7K]3 years ago
7 0

Answer:

285 Words

Step-by-step explanation:

If in 1 minute he can type 30 words , then in 9.5 min he can type  30 x 9.5 = 285.0 = 285

So, Nick can type 285 words in 9.5 minutes.

Hope this Helps!

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Use the formula A=2πrh to find the area of the curved surface of each of the cylinders below. (Express your answers correct to 1
shusha [124]

Answer:

here,

A=2×22÷7×17/2×21

A=22×17×3

A=1122 sq.cm

3 0
3 years ago
you put $3000 in a CD (certificate of deposit) at the promotional rate of 5.6% simple interest. How long will it take to earn $3
Wewaii [24]

Answer:

1 year 9 months

Step-by-step explanation:


6 0
3 years ago
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
rusak2 [61]

Answer:

x=30\\y=68\\z=82

Step-by-step explanation:

x = measure of the first angle

y = measure of the second angle

z = measure of the third angle

The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)

y+z=5x

The third angle is 14 more than the second

z=y+14

And remember that the sum of these three angles must be equal to 180.

x+y+z=180

Let's take these equations

y+z=5x\\z=y+14\\x+y+z=180

If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....

x+y+z=180\\x+(y+z)=180\\x+(5x)=180

Distribute the + sign

x+5x=180

Combine like terms;

6x=180

Divide by 6.

x=\frac{180}{6}\\ x=30

We have now defined that the measure of the first angle is 30º.

Let's take another equation... for example z=y+14

I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.

x+y+z=180\\30+y+(y+14)=180

Distribute the + sign and Combine like terms;

30+y+y+14=180\\44+2y=180\\

Subtract 44 to isolate 2y.

2y=180-44\\2y=136

Now divide by 2.

y=\frac{136}{2}\\ y=68

We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.

x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82

5 0
3 years ago
Isabel is running for president of the chess club, and she received 33 votes. There are 60 members in the club. What percentage
iVinArrow [24]

Answer:

55%

Step-by-step explanation:

(Received number of votes/Total number of votes)100%

=(33/60)100%

=(11/20)100%

=(0.55)100%

=55%

Therefore, 55% of the club members voted for Isabel.


4 0
3 years ago
1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot y
iren [92.7K]

Answer:

1a)  Length = 7x + 3  & Width = 4x - 2

1b)  Area = 28x^2 -2x -6

1c)  Area = 2774 sq. m

2.  (x-4)(y+7)

Step-by-step explanation:

1a)

The length given as words is "3 more than 7 times x"

The width given as words is "4 times x minus 2"

The expression for length would be  7x + 3

The expression for width would be 4x - 2

1b)

The area is length * width

Since we already know the algebraic expressions for length and width from part (a) above, we use the formula:

Area = (7x+3)(4x-2) = 28x^2 -14x + 12x - 6 = 28x^2 -2x -6

Area = 28x^2 -2x -6

1c)

Given x = 10, we put this into the area expression we found in (b) above.Let's see:

28x^2 -2x -6\\=28(10)^2 -2(10) -6\\=2774

Area = 2774 sq. m

2.

We can group the first two terms and next two terms and write up:

xy-4y+7x-28\\(xy-4y)+(7x-28)\\y(x-4)+7(x-4)\\(x-4)(y+7)

That's the factored form.

8 0
3 years ago
Read 2 more answers
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