MATHEMATICS
COLLEGE

Answer: (7a-b+3)-(-2a-8b+8)

Apply plus/minus rule.

-(-a)= a and -(a)=-a

we get

(7a-b+3)-(-2a-8b+8)= 7a-b+3+2a+8b-8

Add like terms

=9a+7b-5

Answer: 9a + 7b - 5

Apply plus/minus rule.

-(-a)= a and -(a)=-a

we get

(7a-b+3)-(-2a-8b+8)= 7a-b+3+2a+8b-8

Add like terms

=9a+7b-5

Answer: 9a + 7b - 5

COLLEGE

The soap recipe is increased so that 75 grams of shea butter are needed. Complete the ratio table to find the amount of sodium hydroxide.

The new amount of sodium would be 2.5 X 42 which is 105.You can use cross multiplying to solve, but the answer is 105.

HIGH SCHOOL

X+3/3=y+2/2,then x/3=

It would equal 3

i hope this helps

i hope this helps

HIGH SCHOOL

At 9:00 a.m. a train left the station on a round trip that covered 54 miles. It returned after a 30-minute layover. The train averaged 18 miles per hour on the outgoing trip. It averaged 50% faster on the return trip. What time did it return to the station

Answer:

12pm

Step-by-step explanation:

54 miles in total. I thought of a straight line & the train is travelling to the end & back & that total miles is 54 .

so we divide 54 by 2 to find out how miles is it to go & to come back

54÷2 =27

27 miles to go & 27 miles to come back.

we know on the outgoing trip the train travelled 18 mph.

theres 27 miles

27÷18=1.5

it took 1.5 hours to travel 27 miles or one hour 30 mins .

on the return trip the train travelled 50 % faster .

50 percent of 18mph =9

9+18=27 mph

the return train is travelling 27mph & we know it has to travel only 27 miles

27÷27 =1

the return train would have taken an hour.

but they said there was a 30 minute delay so we have to factor all this in .

out going train 1 hour 30 mins , Return train 1 hour, Delay 30 mins

1 hour + 1 hour +30mins +30 mins =3 hours .

The train left 9 am & returned after 3 hours which is 12pm

MIDDLE SCHOOL

Point A is located at (3, 6) and point B is located at (10,−2) . What are the coordinates of the point that partitions the directed line segment AB⎯⎯⎯⎯⎯ in a 1:3 ratio?

Enter your answer, as decimals, in the boxes.

(

,

)

Answer:

(4.75, 4)

Step-by-step explanation:

We are to find the coordinates of the point that partitions the directed line segment AB in 1:3 ration.

For this, we will use the following formula:

,

where is the ratio of the first segment to the whole line segment so in this case, it will .

So substituting the given values in the above formula to find the coordinates:

Therefore, the coordinates of the point that partitions the directed line segment AB in a 1:3 ratio are (4.75, 4).

Answer:

(4.75, 4)

Step-by-step explanation:

I took the test

MIDDLE SCHOOL

What is the rational number equivalent to 3.24 1. 3 6/97

2. 3 28/99

3. 3 8/33

4. 3 10/32

Answer:

Step-by-step explanation:

Therefore, is the rational number which is equivalent to 3.24

Answer:

3) 3 8/33

Step-by-step explanation:

:)

MIDDLE SCHOOL

Write the recursive formula for the geometric sequence.

a1 = -2 a2 = 8 a3= -32

Answer:

recursive

a(1) = -2 ; a(n) = -4 * a(n - 1)

explicit

a(n) = -2 * (-4)^(n - 1)

HIGH SCHOOL

A researcher is interested in the sleeping habits of American college students. A group of 50 students is interviewed and the researcher finds that these students sleep an average of 6.7 hours per day. For this study, the average of 6.7 hours is an example of a(n)____________________________

Answer: STATISTIC

Step-by-step explanation: Statistics is a fact or piece of data collected from a study of numerical data,Statistics as afield of study is a study of the processes involved in the collection, description, analysis and presentation of data in order to show some relationship or difference between certain data collected. Statistics can be applied to different fields such as Medicine, Engineering, Biology, Mathematics etc. Statistic gives the real situation of things or impression like the 6.7 sleep hours show how long the 50 students sleep.

MIDDLE SCHOOL

Whats the answer for 3-√64+1/4(20)

The anwser is.................... 1/4

HIGH SCHOOL

-2x+3y=-13 and 3x-3y=12

Answer:

x = -1 ,y = -5

Step-by-step explanation:

--> -2x + 3y +3x-3y = 12-13

--> x= -1

then

--> -2(-1) +3y =-13

--> 2+3y= -13

--> 3y = -15

--> y =-15/3

--> y = -5

Answer: (-1,-5)

Step-by-step explanation: