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disa [49]
3 years ago
14

the difference between two numbers, a and b, is 21. the difference of 5 times a and two times b is 18. what are the values of a

and b?

Mathematics
1 answer:
lawyer [7]3 years ago
5 0

Answer:

  (a, b) = (-8, -29)

Step-by-step explanation:

The two relations can be written as the equations ...

  a - b = 21

  5a -2b = 18

Subtracting 2 times the first equation from the second, we have ...

  (5a -2b) -2(a -b) = (18) -2(21)

  3a = -24 . . . . . simplify

  a = -8 . . . . . . . divide by 3

Substituting into the first equation, we have ...

  -8 -b = 21

  -b = 29 . . . . . .  add 8

  b = -29 . . . . . . multiply by -1

The values of a and b are -8 and -29, respectively.

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if there are four trucks parked in line and after the first truck each truck weighed 2 more tons than the one before. They all w
algol13
Each truck weighs five tons. 

1st truck: n 
2nd truck: n + 2
3rd truck: n + 4
4th truck: n + 6 

n + n + 2 + n + 4 + n + 6 = 32 
4n + 12 = 32 
      - 12   - 12
--------------------
4n = 20 
----  ------
 4      4

n = 5 
6 0
4 years ago
Please answer with everything needed i appreciate everyones help:0
Rus_ich [418]

A scenario that would best model the graph on Holly, her home, and school is:

  • Holly was trying to get to school from home but fell ill when 4 miles from home.
  • Holly waited to catch her breath and gain some strength.
  • Holly reached school and reported her condition.
  • The school allowed her to go home.

<h3>What happened Holly's journey to school?</h3>

As Holly was heading to school, she felt uneasy and had to wait for 10 mins to catch her breath.

After doing so, she then continued to school which was 6 miles from her home. When she got there, she went to the nurse's office.

She waited in school for 15 minutes and was then told to go home to rest and recuperate. She then made the journey back home in a car and arrived in 10 minutes.

Find out more on time graphs at brainly.com/question/27956440.

#SPJ1

7 0
2 years ago
Raheem found a worm that was 9 centimeters long what is the length of the worm in in millimeters? Just answer the question in nu
Anna71 [15]

Answer:

90

Step-by-step explanation:

  • When converting from centimetres to millimetres you must multiply by ten.
  • 9cm x 10 = 90mm
3 0
4 years ago
A newsletter publisher believes that 30% of their readers own a Rolls Royce. A testing firm believes this is inaccurate and perf
fredd [130]

Answer:

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

Step-by-step explanation:

Let's first state the null and alternative hypotheses for this research;

H0: p = 0.30

Ha: p ≠ 0.30

Now, since the bull hypothesis is the claim and he fails to reject the null hypothesis from the research, we will conclude that;

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

5 0
3 years ago
Please answer right away
vitfil [10]

Answer:

199 a 426 students

Step-by-step explanation:

first to see what amount we are talking about in each case, let's see how many students each percentage represents

22% of students:  (22 * ​​1420 students) /100  = 312.4 students

8% of students: (8*1420 students)/100 = 114.6 students

that is, that the average number of students who work part time is 312.4 students. And that number can vary up to 114.6 students above and up to 114.6 students below

that can be expressed as

22% + 8% = 312.4 + 113.6 = 426 students

and

22% -8% = 312.4-113.6 = 198.8≅ 199 students

4 0
3 years ago
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