Use the expression 8a + 16c.

Part A
Factor the expression using the GCF.

Answers

Answer 1

Answer:

8(a+2c)

Step-by-step explanation:

Answer 2

Answer:

C. 8(a + 2c)

Step-by-step explanation:


Related Questions

Which account has the lowest minimum balance requirement? Bank Account Terms and Conditions Bank A has a $500 minimum balance, bank B has 250 dollars, bank C has 300 dollars, bank D has 100 dollars. Account A Account B Account C Account D

Answers

Answer:

The correct option is Account D

Step-by-step explanation:

Bank requires that $500 minimum balance,this is the highest minimum balance out of all the four banks.

Bank B's minimum required balance is $250 which is the third highest minimum balance.

Bank C requires account holder to have as minimum balance $300 which is second highest minimum balance.

Bank D only requires $100 that is the minimum among all the four banks

Bank D only requires $100 that is the minimum among all the four banks. Therefore, the correct answer is option D.

Bank requires that $500 minimum balance, this is the highest minimum balance out of all the four banks.

Bank B's minimum required balance is $250 which is the third highest minimum balance.

Bank C requires account holder to have as minimum balance $300 which is second highest minimum balance.

Bank D only requires $100 that is the minimum among all the four banks.

Therefore, the correct answer is option D.

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Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6.

What is the probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4?

Enter your answer, in simplest fraction form, in the box.

Answers

Answer:

7/18

Step-by-step explanation:

First we need to find what values of sum we can have.

The minimum value for a cube is 1, so the minimum value for the sum is 2.

The maximum value for a cube is 6, so the maximum value for the sum is 12.

Now, we find the multiples of 6 and the multiples of 4 between 2 and 12:

4, 6, 8, 12.

To have a sum of 4, we can have the pairs:

(1,3), (2,2), (3,1)

To have a sum of 6, we can have the pairs:

(1,5), (2,4), (3,3), (4,2), (5,1)

To have a sum of 8, we can have the pairs:

(2,6), (3,5), (4,4), (5,3), (6,2)

To have a sum of 12, we can have the pairs:

(6,6)

So we have 14 pairs among the 36 (6 possibilities of each cube, so 6*6=36) total possibilities of pairs, so the probability is P = 14/36 = 7/18

The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4 is,      [tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]

The probability of any event is computed as divide number of favourable outcomes by total number of outcomes.

The sum that is a multiple of 6 or a sum that is a multiple of 4  are   4, 6, 8 and 12.

For sum of 4, we can have the pairs = (1,3), (2,2), (3,1)

For sum of 6, we can have the pairs: = (1,5), (2,4), (3,3), (4,2), (5,1)

For sum of 8, we can have the pairs = (2,6), (3,5), (4,4), (5,3), (6,2)

For sum of 12, we can have the pairs = (6,6)

Total number of favourable outcomes = 14

When two distinct number cubes are rolled. then,

Total number of outcomes  [tex]=6^{2}=36[/tex]

The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4,

                  [tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]

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A researcher works on a study that has a population standard deviation of 0.73a sample mean of 84.5 and a sample size of 60 .What is the margin of error with a confidence level of 95%

Answers

Answer:

[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]

The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:

[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]

Step-by-step explanation:

For this case we have the following info given:

[tex] \sigma = 0.73[/tex] represent the population deviation

[tex] \bar X = 84.5[/tex] represent the sample mean

[tex] n =60[/tex] represent the sample size

And we want to find the margin of error for a confidence level of 95%. So then the significance level would be [tex]\alpha=1-0.95 = 0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. The margin of error is given by:

[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]

The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:

[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]

Answer
-5 < ___
A.-10
B.0

Answers

Answer:

B. 0

Step-by-step explanation:

The < sign means whatever is on the right side of the symbol should be greater than whatever is on the left side.

To solve this we need to understand that 0 is greater than -10. Then we need to make sure that 0 is greater than -5 and it is greater than -5.

Therefore the answer is 0

Hope this helps! If you have any more questions or need further clarification on anything please comment down below or message me! Good luck!

Henry is standing on a catamaran at an elevation of 10 1010 feet relative to sea level. His friend Thomas is scuba diving at an elevation of − 12 1 2 −12 2 1 ​ minus, 12, start fraction, 1, divided by, 2, end fraction feet relative to sea level. Which friend has greater elevation? Choose 1 answer: Choose 1 answer: (Choice A) A Henry (Choice B) B Thomas Which friend is farther from sea level? Choose 1 answer: Choose 1 answer: (Choice A) A Henry (Choice B) B Thomas

Answers

Answer:

A.) Henry

B.) Thomas

Step-by-step explanation:

Given the following :

Henry's elevation = 10feets relative to sea level

Thomas elevation = -12 1/2 that is (-25/2) feet relative to sea level

Person with greater elevation:

Elevation can be described as height, in this case, the sea level used as the reference point. Therefore, a positive distance denotes an elevation above the reference point (which is the sea level). Therefore, Henry has a greater elevation of 10 feet( a distance above 0).

B) Who is farther from sea level:

This can be calculated by comparing the absolute distance between the elevation of both Henry and Thomas relative to the reference point(sea level)

Take reference point as 0

Absolute distances relative to sea level:

Henry's distance | 10 - 0 | = 10

Thomas's distance | -(25/2)- 0 | = 12 1/2

Answer:

A then B

Step-by-step explanation:

Eloise is designing a triangular flag. Is it possible to design more than one flag with side lengths of 27 inches and 40 inches and an included angle of50°? Explain. *

Answers

Answer:

Step-by-step explanation:

The given triangular flag has two given sides and an angle. Since the lengths of the sides and the size of the angle are known, it means that Eloise can design only one triangular flag. This is because the lengths cannot be altered. Also, the size of the angle is always the same. If the sizes of the three angles were known and the length of the sides were unknown, different sizes of the triangular flags can be produced with the angles remaining constant.

Find the mean, median, mode, and range of the data set.
23, 31, 26, 27, 25, 28, 23, 23, 25, 29, 29, 29, 25, 22, 30, 23

Answers

Answer:

Range: 9

Mode: 23

Median: 25.5

Mean: 26.1

Step-by-step explanation:

Arrange the data set from least to greatest.

22, 23, 23, 23, 23, 25, 25, 25, 26, 27, 28, 29, 29, 29, 30, 31

Range: Highest value - Lowest value =

Mode: The most number listed in the data set, or the listed numbers

Median: The middle number

Mean: finding the average of the data set

Range: 31 - 22 = 9

Mode: 23

Median: 25 + 26 = 51/2 = 25.5

Mean: 22 + 23 + 23 + 23 + 23 + 25 + 25 + 25 + 26 + 27 + 28 + 29 + 29 + 29 + 30 + 31 = 418/16 = 26.125 or 26.1

What is perimeter of rectangle JKLM?

Answers

Answer: 16 units

Step-by-step explanation:

Find the length of each of the four sides and add them all together. The short sides each measure 3 units and the long sides each measure 5 units. 3+3+ 5+5 = 16

A cube with a volume of 64 cubic meters is scaled by factor of 5.what is the volume of cube in cubic meters?

Answers

If you scale 64 meters by a factor of 5 you will get 34.55


There are
18 girls and
22 boys in a class,one
of them has a letter. The probability that
the
owner
of the letter is a boy is​

Answers

First take the total of students ( 18 + 22 ) = 40. To calculate the percentage take the total of boys and divide it by the total of 40, and multiply by 100%. That gives 22 : 40 x 100% = 55. So the probability that a boy has the letter is 55%.

Which rule best describes the following pattern?
8, 4, 10, 6, 12, 8, 14, ...​

Answers

Answer: It decreases by four then go up by six or increase by 6.

Step-by-step explanation:

It shows the alternating increased by 2

It decreases by four then go up by six or increases by 6.

We have given the pattern is

8, 4, 10, 6, 12, 8, 14, ....

We can see that

the first number is 8 and the second is 4

8>4

from 8 to 4 it is decreasing and the 4 to 10 it is increasing and again after 10 it is decreasing a.

What is the meaning of increasing?

Increasing means there is a second number is greater than the first number third number is greater than the second number and so on.

There is two pattern

8,10,12,14....

Increasing by 2

4,6,8.....

Increasing by 2

Therefore it shows the alternating increased by 2.

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Which tree diagram shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labelled 1 through 4?

Answers

The answer is D.

For a toss of heads you can have a roll of 1, 2, 3 or 4.

and for a toss of tails you could have a roll of 1, 2, 3, or 4

Help pleaseee: A rectangular prism is shown below with edges of 1, 6, and 4 units. If a diagonal runs from point A to point B, how many units long is diagonal AB ?

Answers

Answer:

the answer is [tex]\sqrt{53}[/tex]

Step-by-step explanation:

Answer:

Second option

Step-by-step explanation:

Diagonal² = 6² + 4²

Diagonal² = 52

AB² = diagonal² + 1²

AB² = 52 + 1

AB² = 53

AB = sqrt(53)

A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 items can be chosen from this lot?

21
45
90

Answers

Answer:

45

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many possible subsets of 2 items can be chosen from this lot?

Combinations of 2 from a set of 10. So

[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]

Answer:

45

Step-by-step explanation:

The diagram below shows a shaded parallelogram drawn inside a rectangle. Using Pythagoras, find the hypotenuse of triangle A and the hypotenuse of triangle B to 1 decimal place.

Answers

Answer: 5.9 cm for both triangles.

Step-by-step explanation:

Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 3^2 + 5^2  

c^2 = 9+25

c^2 = 34

c = √34

c = 5.9 cm

Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.

Feel free to ask for more if needed or if you did not understand something.  

HELPPPPP I HAVE NO CLUE ON WHAT TO DO

Answers

Answer:

B 86

Step-by-step explanation:

ABCD = EFGH

A = E

B = F

C = G

D = H

Melanie earned $39 at her job when she worked for 3 hours. What was her hourly pay
rate in dollars per hour? Express your answer in simplest form.

Answers

Answer:

13

Step-by-step explanation:

To find the unit pay

you first had to do 39/3 (39 divided by 3) and then that answer you get is payment she receives in an hour

hour: 1  |   3

Pays: 13|  39

HOPE IT HELPS:)

A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?

Answers

Answer:

baseball my guy

Step-by-step explanation:QUICK MATHS

Answer: baseball is liked less

Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)

What is the answer to 50% of 480?

Answers

Answer:

240

Step-by-step explanation:

50% is the same as 50/100.

50/100=0.5

Then, multiply 0.5 by 480 (the same as dividing it by 2)

480*0.5= 240

Juanita spent $9 on each of her 6 grandchildren at the fair. How much money did she spend? Juanita gastó $9 en cada uno de sus 6 nietos en la feria. ¿Cuánto dinero gastó Juanita?

Answers

Answer:

$54

Step-by-step explanation:

she had 6 grandchildren and she used $9 for one grandchild so we multiply

9 x 6 = $ 54

What is 1200 milligrams converted into grams

Answers

Answer:

The answer is 1.2 grams.

Step-by-step explanation:  So 1,000 milligrams is 1 gram.   So to get this answer you divide 1200 milligrams by 1000 and that gives you 1.2 grams for 1200 milligrams.

What is the area of the base

Answers

The are of the base is 32 in^2. Since is 4 times 8

Terry's investment of $2,200 in the stock market earned $528 in two years. Find the simple interest rate for the investment

Answers

Answer:

24%

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

t = ???

P = 2,200

I = 528

r = 12%

528 = 2,200(t x 1)

t = 528/2,200

t = 0.24

t = 0.24 x 100 = 24%

You're welcome.

I don’t know can somebody help me out

Answers

Answer:

B and D

Step-by-step explanation:

negative and negative make positive so look for the positive answers

It took Beth 16 minutes to read 8 pages of a book. If she reads at a constant rate, how long did it take Beth to read 5 pages?

Answers

Answer:

Step-by-step explanation:

10 minutes

if it took her 16 minutes to read 8 pages then that means it takes her 2 minutes to read one page. 2 times 5 is 10

Answer:

Step-by-step explanation:

It would be ten. Because it took her 16 minutes to read 8 pages and 8 pages times 2 minutes each page = 16 minutes, so 5 pages times 2 minutes each page = 10

The perimeter of a rectangle is 19 centimeters. Its length is 6 centimeters. What is its width?

Answers

Answer:

3.5 cm

Step-by-step explanation:

Perimeter of rectangle = 2 × (w + h)

w = width

h = height

We have: 2 x (w + 6) = 19

w + 6 = 19 : 2 = 9.5

w = 9.5 - 6 = 3.5 (cm)

How many blocks with dimensions of 3 x1x1 can fit in a unit cube?
1
1

Answers

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices. The cube is also a square parallelepiped, an equilateral cuboid and a right rhombohedron. It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations. The cube is dual to the octahedron. It has cubical or octahedral symmetry. The cube is the only convex polyhedron whose faces are all squares.

if the probability that is will rain is 0.7 what is the probability that it will not rain?

Answers

Answer: I think it's 0.3

Answer:

30 %

Step-by-step explanation:

if the probability that it will rain is 0.7, there is a 0.3 or 30 % chance that it will not rain.

Which is equal

(please help asap!)

Answers

Answer:

B

Step-by-step explanation:

there

If a circle has a diameter of 30 meters, which expression gives its area in
scuare meters​

Answers

Answer:

A = pi (15)^2

Step-by-step explanation:

The diameter is 30

The radius is 1/2 of the diameter

r = d/2 =30/2 = 15

The area of a circle is

A = pi r^2

A = pi (15)^2

A = 225 pi

Answer:B

Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.

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