Mathematics High School

Jack drove to the train station and back. It

took two hours less time to get there than

it did to get back. The average speed on

the trip there was 40 km/h. The average

speed on the way back was 24 km/h. How

many hours did the trip there take?

Answers

Answer 1

Answer:

8hours

Step-by-step explanation:

let the time taken to get back be x

so that the time needed to go is (x-2)

we know that speed= distance/time

therefore the speed for the return is 24 km/h.

distance (return)= 24*x

distance (return)=24x

therefore the speed to the station is 40 km/h.

distance (return)= 40*(x-2)

distance (return)=40x-80

We know that the distance is the same

24x=40x-80

24x-40x=-80

16x=80

divide both sides by 16

x=5

the time taken to get back is x=5hours

the time taken to is x-2=(5-2)= 3hours

the total trip takes 3+5= 8hours

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Jeannie took 40 milligrams of a medicine. The amount of medicine in her body will decrease by 15% each hour. Approximately how much of the medicine will be left in Jeannie's body after 4 hours? ​

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Answer:

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Step-by-step explanation:

29.24 / 0.153 =191.111111111

is 61% a rational number​

Answers

Answer: No

Step-by-step explanation: It is irrational because 61 is a prime number.

What is the slope and the y-intercept in this linear equation?



y = -x + 4

Answers

Slope: -1

y-intercept: 4

*Any time x is by itself, it is either positive 1 (just x by itself) or negative 1 (x with a negative sign)

Pls answer: -4y - 4 + (-3)

Answers

The answer is -4y-7 Goodluck!
Answer: -4y - 7

Explanation: Keep the -4y and combine like terms. -4 - 3 = -7

Hope this helped! :)

how can you get 6 with four 6s , the problem is
6 6 6 6 equals 6

Answers

Answer:

6666 divided by 1111 equals 6

Step-by-step explanation:

The number of 7th graders attending Middle field Science Academy this year is 130% of last year’s total. If 500 7th graders attended last year, how many attend this year? A tape diagram. There are 130 students who are 7th graders this year out of 100 who were 7th graders last year. There are question mark students this year out of 500 who were 7th graders last year. Which steps should be used to find 130% of 500? Check all

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Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

4=-3/4(-5)+b

4=15/4+b

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y=-3/4+16/15

is 9.68 rational or irrational?​

Answers

Answer:

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Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

hel.p me samy keeps sayi.ng the f word and she’s gonna get introuble

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Answer:

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Step-by-step explanation:

What is 9,2345 + 35.98

Answers

the answer is

92,380.98

Answer:

9,2380.98

Step-by-step explanation:

 92345

+00035.98

If LP = 15 and PR = 9, find LR. Explain. LR = 24 because 15 + 9 = 24 according to the addition property of equality. LR = 6 because LR + LP = PR according to the Segment Addition Postulate, and 6 + 9 = 15 using substitution. LR = 24 because LP + PR = LR according to the Segment Addition Postulate, and 15 + 9 = 24 using substitution. LR = 6 because 15 − 9 = 6 according to the subtraction property of equality.

Answers

Step-by-step explanation:

Given,

LP = 15, PR = 9

Point P lies on the line segment PR. It would mean that,

LP + PR = LR

⇒LR = 15 + 9

⇒ LR = 24

Hence, "LR = 24 because LP + PR = LR according to the Segment Addition Postulate, and 15 + 9 = 24 using substitution" is the correct option.

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Answers

Answer:

36/9= a

and

4

Step-by-step explanation:

you just divide 36 by 9 and you get 4.

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x^2-14x+45

(x-15)(x-3)=0
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(x+15)(x+3)=0
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Answers

Last one. Do FOIL. -9•-5=45. -9x+-5x=-14x.
(X-9)(x-5)
X^2-5x-9x+45
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Caitlyn spends $17 at the store. She buys a mop for $5 and 3 bottles of floor cleaner. If x represents the cost of each bottle of cleaner, the equation that can be used to find the value of x is 3 x + 5 = 17. Which shows the first step that should be taken to verify that $4 is the solution to the equation?
3 (4) minus 5 = 17
3 (4) = 17 + 4
3 (4) + 5 = 17 + 5
3 (4) + 5 = 17

Answers

Answer:

3(4) + 5 = 17

Step-by-step explanation:

Caitlyn spends $17. Buys mop for $5 and 3 floor cleaner. x=cleaner

3x + 5 = 17

3(4) + 5 = 17

12 + 5 = 17

17 = 17 (true)

It would have to be the last one 3(4)+5=17

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Answers

Answer:

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Step-by-step explanation:

Perhaps it might be if when it is not it. But maybe.

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Answers

Answer:

56%

Step-by-step explanation:

Reducing the picture by 80% and then by 70% gives a reduction of 56%

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What is the area of a rectangle piece of pavement that is 20 ft wide by 15 yards long

Answers

Answer:

300

Step-by-step explanation:

To find the area, you should multiply 20 by 15

Answer: 6,000 square ft

Step-by-step explanation:

w=20 ft

l=100 yd

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l = 100 yd=100 times 3 ft=300 ft

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Daniel has 3 sets of colored pencils. Each set has 6 pencils. How many pencils does Daniel have in all? Model this by drawing base - 10 blocks.

Answers

Answer: 18

Step-by-step explanation:

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Please help me with this is my last question

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Answer:

a

Step-by-step explanation:

Answer:

A

........................

This is algebra. Please I need help!!!

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1. Is zero
2. Zero
3

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-3

3

-1

1

Answers

Answer:

1

Step-by-step explanation:

Set x - 1 equal to zero

x - 1 = 0

x = 1

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picture 1 picture 2



is greater than
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Answers

Answer:

Is Equal to

Step-by-step explanation:

2/3 = 8/12

2/3 = 4/6

2/3 = 2/3

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Answers

Going from f(x) = x to g(x) = f(x-6) = x-6 will move the graph 6 units to the right.

Effectively replacing x with x-6 shifts the xy axis 6 units to the left, giving the illusion the function curve shifts 6 units to the right.

Answer: shifts 6 units to the right.

Monica ran 20 miles in two days. How many miles did she run each day, if she ran 4 more miles on the second day than on the first day?

On the first day she ran _____________ miles, and on the second day she ran _______ miles.

Answers

Answer:

6 miles on the first day and 14 miles on the second day

Step-by-step explanation:

Answer:

[tex]in \: day \: one \: she \: ran \: 8 \: mile s.\\ in \: day \: two \: she \: ran \: 12 \: miles.[/tex]

Step-by-step explanation:

[tex]let \: the \: number \: of \: miles \: for \: the \: first \: day \: be : x \\ let \: the \: number \: of \: miles \: for \: the \: second \: day \: be : x + 4 \\ therefore \: in \: two \: days \: she \: ran \: 20 \: miles = x + (x + 4) \\ now......thats \: the \: required \: equation....... \\ if \: x + (x + 4) = 20 \: then : \\ 2x + 4 = 20 \\ 2x = 20 - 4 \\ 2x = 16 \\ x = 8. \\ so \: in \: day \: one \: she \: ran \: 8 \: mile \\ in \: day \: two \: she \: ran \: (8 \: + 4) \: miles = 12 \: miles[/tex]

its so funny how you reacted to the other helper

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A deep-sea exploring ship is pulling up a diver at a rate of 25 feet per minute the diver is 200 feet below sea level how deep was in diver 10 minutes ago?

Answers

Answer:

the diver was 450 ft below sea level

Step-by-step explanation:

25ft per min

25x10=250

250+200=450ft

Answer:

450 feet below sea level

Step-by-step explanation:

25 feet per minute 10 minutes, so you multipy them 25x10=250, and then add that to the level he's at right now, 200+250=450.

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Answers

Where is the figure??

The value of X which is at point O would be = 70°. That is option C.

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The angles of a straight line is defined as the angles that when added up, sums up to 180°.

Both angle NOP, POQ and QOR are angles on a straight line that adds up to 180°.

That is;

X = 180-(50+60)

= 180-110

= 70°

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11. |-8| + |6| =
12. |-3| +8 =
13.12 + |-13| =
14.6 + |4||
15. -14-16| =

Answers

Answer:   ( -8)+(6)= 14

     

                (-3)+8 = 11

               

                12+(-13) = 25

     

           -14-16= -30

 

        6+(41) =47

What is the image point of (4,8) after a translation right 1 unit and up 5 units?

Answers

Answer: (5,13)

Step-by-step explanation:

Answer:

(5,13)

Step-by-step explanation:

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