Use the expression 8a + 16c.

Part A
Factor the expression using the GCF.

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.

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

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.

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)

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

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]

Learn more:

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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!

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.

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:)

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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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.

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.  

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!:)

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

Answer:

B 86

Step-by-step explanation:

ABCD = EFGH

A = E

B = F

C = G

D = H

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:

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.

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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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

Answer:

$54

Step-by-step explanation:

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

9 x 6 = $ 54

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)

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

Answer:

B and D

Step-by-step explanation:

negative and negative make positive so look for the positive answers

Answer:

B

Step-by-step explanation:

there

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:

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:

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.