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3 years ago

Simplify: 3u2 + 21u2

1 answer:

7 0

If you would like to simplify 3 * u^2 + 21 * u^2, you can calculate this using the following steps:

3 * u^2 + 21 * u^2 = (3 + 21) * u^2 = 24 * u^2

The correct result would be 24 * u^2.

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12. At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Wh

Romashka [77]

Answer:

150th customer

Step-by-step explanation:

To find this we would need the lcm lowest common factor of 30 and 75

LCM 30 = 2,5,3,1

LCM 75 = 3,5,5

H.C.F = 2,3,5,5

= 150

the 150th custome would be getting both gift.

7 0

3 years ago

What is the result when 6x3 + 19x2 + 2x 12 is divided by 2x + 1? If there is a r(x) remainder, express the result in the form q(

Nastasia [14]

Answer:

sorry for the photo quality and my writing

3 0

3 years ago

A passbook savings account has a rate of 5%. Find the effective annual yield if the interest is compounded quarterly.

Temka [501]

Answer:

Effective annual yield = 0.05094534 or 5.094%

Step-by-step explanation:

Given:

Rate of interest (r) = 5% = 0.05

Interest = compounded quarterly

Find:

Effective annual yield = Y

Computation:

$Y=(1+\frac{r}{n} )^n-1\\\\Y=(1+\frac{0.05}{4} )^4-1\\\\Y=(1+0.0125 )^4-1\\\\Y=(1.0125 )^4-1\\\\ Y=1.05094534-1\\\\Y=0.05094534\\\\\\$

Effective annual yield = 0.05094534 or 5.094%

6 0

3 years ago

In the diagram, line I and line m are parallel lines cut by transversal n.<br> b<br> a<br> n<br> m

baherus [9]

The measure of both the interior angles are 70 and 110 degree.

<h3>What are Parallel Lines ?</h3>

Lines they never intersect with each other and the distance between them always remains same are called parallel lines.

It is given that

Line l and m are parallel lines and are intersected by a transversal ,n

Interior angles of the same side are (2x−8) degree and (3x−7) degree

Applying the property of interior angles of parallel lines

2x -8 + 3x - 7 = 180 degree

5x -15 = 180

5x = 195

x = 39 degree

Both the angles have measure of

2 * 39 - 8 = 70 degree

3 * 39 -7 = 110 degree

Therefore the measure of both the angles are 70 and 110 degree.

The complete question is

Two parallel lines l and m are cut by a transversal n . If the interior angles of the same side of n are (2x−8) degree and (3x−7) degree , find the measure of each of these angles.

To know more about Parallel Lines

brainly.com/question/16701300

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4 0

2 years ago

Joy recorded the distances she walked each day for five days. How far did she walk in 5 days? Line plot: 3 xs on 1/3 1 x on 1/2

kotykmax [81]

Answer:

$2\frac{1}{6}\approx 2.167$ units.

Step-by-step explanation:

We have been given that Joy recorded the distances she walked each day for five days.

To find the distance traveled be Joy in 5 days we will add the distances covered by Joy each day.

As there are 3 dots on 1/3, this means that Joy traveled 1/3 units on 3 days.

Since there is 1 dot on 1/2 and on dot on 2/3, so this means that Joy walked 1/2 units one day and 2/3 units another day.

Let us add all these distances.

$\text{Total distance walked by Joy in 3 days}=3\times\frac{1}{3}+\frac{1}{2}+\frac{2}{3}$

$\text{Total distance walked by Joy in 3 days}=\frac{1*3}{3}+\frac{1}{2}+\frac{2}{3}$

Let us have a common denominator.

$\text{Total distance walked by Joy in 3 days}=\frac{3*2}{3*2}+\frac{1*3}{2*3}+\frac{2*2}{3*2}$

$\text{Total distance walked by Joy in 3 days}=\frac{6}{6}+\frac{3}{6}+\frac{4}{6}$

$\text{Total distance walked by Joy in 3 days}=\frac{6+3+4}{6}$

$\text{Total distance walked by Joy in 3 days}=\frac{13}{6}$

$\text{Total distance walked by Joy in 3 days}=2\frac{1}{6}$

Therefore, Joy traveled $2\frac{1}{6}\approx 2.167$ units in 5 days.

8 0

4 years ago