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3 years ago

Next, what equation should you use to find the number that is 5% of 60?

Mathematics

1 answer:

mixas84 [53]3 years ago

7 0

Answer:

Step-by-step explanation:

5percent of 60=3

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Solve for x. What is the value of<br><br> Pls help me

vfiekz [6]

Answer

x = 21

HOS = 68

Explanation

The arrows beside x point to 12 and 6, which is a straight angle. Straight angles always add up to 180 degrees.

So that means 3x+5 plus 5x+7 must equal 180 degrees.

3x+5+5x+7 = 180

Combine like terms.

8x+12 = 180

Subtract 12 from both sides.

8x = 168

x = 21

But BE CAREFUL.

The problem is asking for the angle HOS.

To do this, just substitute what you got for x into the expression.

3(21)+5 = 68

The value of HOS is 68 degrees.

8 0

3 years ago

The volume of a certain right circular cylinder is 16. A larger circular cylinder has radius 25% greater and height 50% greater

san4es73 [151]

Answer:

$V_2 = 37.5$

Step-by-step explanation:

Given

$Volume = 16$

Represent the height of the smaller cylinder with h and its radius with r.

The height (H) of the larger cylinder is

$H = h + 50\% * h$

And the radius (R) is;

$R = r + 25\% * r$

Required

Determine the volume of the larger cylinder

Volume of the smaller cylinder is:

$V_1 = \pi r^2h$

Substitute 16 for V1

$16 = \pi r^2h$

While the volume of the larger cylinder is:

$V_2 = \pi R^2H$

We have that:

$H = h + 50\% * h$ and $R = r + 25\% * r$

--------------------------------------------------------------------------------------------------------------

Simplify both expressions

$H = h + 50\% * h$

$H = h + 0.50*h$

$H = h + 0.50h$

$H = 1.50h$

$R = r + 25\% * r$

$R = r + 0.25*r$

$R = r + 0.25r$

$R = 1.25r$

--------------------------------------------------------------------------------------------------------------

Substitute values for R and H in $V_2 = \pi R^2H$

$V_2 = \pi * (1.25r)^2 * 1.50h$

$V_2 = \pi * 1.5625r^2 * 1.50h$

Collect Like Terms

$V_2 = 1.50 * 1.5625* \pi*r^2 * h$

$V_2 = 2.34375* \pi*r^2 * h$

$V_2 = 2.34375* \pi r^2h$

Recall that: $16 = \pi r^2h$

$V_2 = 2.34375* 16$

$V_2 = 37.5$

<em>Hence, the volume of the larger cylinder is 37.5</em>

8 0

3 years ago

Find the slope of line y=5/6x+3

sergij07 [2.7K]

Answer:

Step-by-step explanation:

Y=5/6x +3

First you do the slope interept form :

y=mxtb

m=5/6 b=3

You plot 3 at the y-intercept

Then find the Rise over Run for 5/6

You go up 5 and go over 6.

you go down 5 and over 6.

And then you connect your line.

4 0

3 years ago

Draw a quick picture to show the number 24 then draw a quick picture to show 24 after you have regrouped 1 ten as 10 ones explai

Sveta_85 [38]

Answer:

Step-by-step explanation:

Total pink triangles = 24

Let first 10 triangles be a circle

let second ten triangles be a square

⇒ red circle = 10 triangles

⇒blue square = 10 triangles

Remaining triangles = 4

Thus circle+square+4 triangles=10+10+4

=24

Refer the attached figure.

This is a quick picture to show 24 after you have regrouped 1 ten as 10 ones

5 0

3 years ago

Devin sent a total of 20 texts and emails on Monday. The number of texts was one less than twice the number of emails. Find the

anyanavicka [17]

Answer:

21 mails

Step-by-step explanation:

Let there are x no of texts and y no of emails.

Condition 1,

x+y = 20 ...(1)

Condition,

x=2y-1 ...(2)

Put the value of x from equation (2) in (1). So,

(2y-1)+y = 20

Taking like terms together,

2y-y=20+1

y=21

So, Devin sent 21 mails,.

7 0

4 years ago