What is the GCF of 28x3 and 28x5?

Answer:

speed of bus = 33 mi/hr

speed of motorcycle = 31 mi/hr

Step-by-step explanation:

Let the speed of the motorcycle be x mi/h.

Now, we are told that the bus averages 2 mi/hr faster than the motorcycle. Thus, speed of bus = (x + 2) mi/hr

Formula for time is; t = distance/speed

Since distance covered by bus is 165 miles, then t_bus = 165/(x + 2)

Since distance covered by motorcycle is 155 miles, then t_motorcycle = 155/x

We are told that the bus and the motorcycle used the same time to cover their respective distances. Thus;. t_bus = t_motorcycle

Thus;

165/(x + 2) = 155/x

Cross multiply to get;

165x = 155(x + 2)

165x = 155x + 310

165x - 155x = 310

10x = 310

x = 310/10

x = 31 mi/hr

Then speed of bus = 31 + 2 = 33 mi/hr

Answer:

The value of the experimental probability is greater

Step-by-step explanation:

For the theoretical probability;

the probability that a card with the number 3 is selected is 1/5

We consider that the probabilities of each selection are equal, for the theoretical probability

For the experimental, we simply place the frequency of the selection 3 over the total

that will be 128/400 = 8/25

As we know that 8/25 is greater than 1/5

We can conclude that the value of the experimental probability is greater than that of the theoretical

Answer:

I hate math

Step-by-step explanation:

Answer:

-0.0016

- 1/ 625

Step-by-step explanation:

Answer:

Step-by-step explanation:

-5 ^ - 4

= 1 / -5 ^ 4

= 1/625

hope it helps :)

Answer:

?

Step-by-step explanation:

Answer:

x = 5.4

Step-by-step explanation:

Corresponding sides are in proportion, that is

[tex]\frac{x}{7.2}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )

4x = 21.6 ( divide both sides by 4 )

x = 5.4

Answer:

you must remember + and + equal to minus

Answer:

X =33

Step-by-step explanation:

6x-18=180

6x = 198

X = 33

Answer:

0.2(y-2)

Step-by-step explanation:

factor out 1/5 from the expression

1/5×(y-2)

0.2(y-2)

The two dot plots are missing, so i have attached it.

Answer:

The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles

Step-by-step explanation:

From the attached image, we are told to compare the means for each plot to the nearest tenth.

Mean = Σx/n

Now, from the image, total number of miles run by the 14 students at the beginning of the school year is;

(1 × 7) + (2 × 8) + (4 × 9) + (4 × 10) + (2 × 11) + (1 × 12) = 133

Mean of miles run at the beginning of the school year = 133/14 = 9.5 miles

Again, from the table, total miles run at the end of the school year = (2 × 8) + (2 × 9) + (4 × 10) + (3 × 11) + (3 × 12) = 143

Mean of miles run at the end of the school year = 143/14 = 10.2 miles

Thus;

The mean at the beginning of the school year was 9.5 miles and the mean at the end of the school year was 10.2 miles

Answer:

1 + y < -13

Step-by-step explanation:

1 + y < -13

1 and a number, y, is less than -13

Answer:

128 calories

Step-by-step explanation:

Remember that an exponent represents multiplying a number repeatedly by itself. For example, using this situation, [tex]2^7[/tex] would represent 2 multiplied by itself seven times:

2 x 2 x 2 x 2 x 2 x 2 x 2

notice that there are 7 2's multiplied by each other ^^

if you are doing this without a calculator, its easiest to start one at a time

2 x 2 = 4

now there are 5 2's left

4 x 2 = 8

there are 4 2's left

8 x 2  = 16

there are 3 2's left

16 x 2 = 32

there are 2 2's left

32 x 2 = 64

there is one 2 left

64 x 2 = 128

so [tex]2^7[/tex] = 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

I hope that helps :)

Answer:

Here is the answer key!

https://2fv5d843v9w22sxtto1ibxtu-wpengine.netdna-ssl.com/wp-content/uploads/2015/12/Ratio-H-Speed-Distance-Time-Rates-of-Change-v2-SOLUTIONS.pdf

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Part 1

Given equation:

For t = 0

For t = 12 (noon)

For t = 24 (midnight)

Part 2

attached below

Part 3

Substituting the values:

5, 6 and 7, should be simplish

good luck, i hope this helps :)

Answer:

problems 4,5,6,7  (make sure you add °C to the answers given in step one above)   *note, these answers given in both answers could be used for any of the deserts chosen, they all have the same formula given.

Step-by-step explanation:

4) box 12

(12,40)

f(12)= 9/5 (40)+ 32

f(12)= 72 +32

f(12)= 104 ° F

box 24

(24, -3.2)

f(24)= 9/5 (-3.2) +32

f(24) = -5.76 +32

f(24)= 26.24 °F

5.

substitute the given C(t) equation into the conversion formula

F(t)= 9/5C(t)+32.

We know from the information given that C(t)=−0.30(t−12)^2 +32

to solve:

F(t)= 9/5[−0.30(t−12)^2+40]+32

F(t)=1.8(−0.3t^2+7.2t−3.2)+32

F(t)=−0.54t^2+12.96t−5.76+32

F(t)=−0.54t^2+12.96t+26.24

6.

on the graph plot the three points  (0,-0.32), (12,104), (24,-0.32)

It draw the lines to connect the bottom two points to 12, 104, It should look like  upside down V but curved softer like the graph in answer number 2.

7.  The changes made to the graph of C(t) to transform it to F(t) was changing the noon temperature (plot point) from 40° C to 104° F.  It increased the steepness of the graph.

Answer:

x=30

Step-by-step explanation:

You have to isolate for x. This means you need to somehow get x on one side of the equation all alone. In this case it is x-9=21 which means some unknown number x with 9 subtracted from it is equal to 21. When we bring the -9 over to the other side to get the x all alone, we have to switch the sign of the -9 so it becomes +9. This means x=21+9, and if you add that you'll get 30!

Answer:

60th visit

Step-by-step explanation:

60/12=5

Answer:I don't know this one.

Step-by-step explanation:

Answer: 12 and -4

Step-by-step explanation:

Assume the larger number is x and the smaller one is y.

In that case the relevant simultaneous equations are:

x + y = 8

2x + 4y = 8

Use substitution to find relative value of y:

x + y = 8

y = 8 - x

Use to solve equation:

2x + 4y = 8

2x + 4(8 - x) = 8

2x + 32 - 4x = 8

2x  - 4x= 8 - 32

-2x = -24

x = -24 / -2

x = 12

y = 8 - x

= 8 - 12

= -4

Answer:

Start at the origin to plot the point. The x-coordinate, 3, indicates that you need to move 3 units to the right. The y-coordinate, −7, indicates that you need to move down 7 units. Then plot the point.

Step-by-step explanation:

Answer:

what that person said on top thx man

Step-by-step explanation:

Answer:

C. 30in

Step-by-step explanation:

[tex]\frac{36}{12} = \frac{x}{10}[/tex]

x = 30

Answer:

0.23 is a fraction and there is no way to represent it as a whole number.

hope it helps :)

Step-by-step explanation:

Answer:

110 women, see below for explanation. (hope this helps)

Step-by-step explanation:

3 to 5

3x + 5x = 176

8x = 176

x = 176/8

x = 22

3*22 = 66 men

5*22 = 110 women

Answer:

Step 1: multiply

10*10=100*10=1000*10=10000

Step 2: write 1st one out.

(8*10000)

Step 3: multiply

8*10000=80000

________________-

Step 1: multiply

10*10=100*10=1000*10=10000*10=100000*10=1000000*10=10000000*10=100000000*10=1000000000*10=10000000000*10=100000000000*10=1000000000000

step2: multiply

2*100000000000=200000000000

step 3: write it out

80000*200000000000

step 4: solve

80000*200000000000=1.6 to the power of 17

Step-by-step explanation:

so your answer is

1.6 to the power of 17

that was a lot yw

Answer:

More males have a job and more females have a job, and the final answer is does.

Step-by-step explanation:

Answer:

do not have a job for 1, 2

3) Does

( I hope this was helpful) >;D

Answer:

its c

Step-by-step explanation:

Answer:

28y + 63 (second option)

Step-by-step explanation:

7(4y + 9)

7 x 4y (28y)

7 x 9 (63)

you would multiply 7 and 4y to get 28y and then multiply 7 and 9 to get 63 and you would add the plus sign to get the full answer which is 28y+63

Answer:

T = 4.9

Step-by-step explanation:

Just add 3.7 and 1.2 to get 4.9

Answer:

did you ever find the answer?

Step-by-step explanation:

Answer:

Step-by-step explanation:

We will prove the converse of the postulate,

"If a line parallel to one side of a triangle and it intersects other two sides of the triangle, then the line will divide both the sides in the same ratio"

Segment DE intersects AB and BC at D and E respectively,

Ratio of the segments of two sides,

[tex]\frac{AD}{DB}=\frac{CE}{EB}[/tex]

[tex]\frac{22.5}{15}=\frac{24}{40-24}[/tex]

1.5 = 1.5

True.

Therefore, lines AC and DE are parallel.