MATHEMATICS HIGH SCHOOL

Which of the following numbers are less than or equal to 1.75
1 4/11
1.6
7/4​

Answers

Answer 1
Answer: They are all less than 1.75 except 7/4, which is equal

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A car rents for $45.00 per day plus 21 cents per mile. You are on a daily budget of $66.00 per day. What mileage will allow you to stay within your budget?

Answers

45+.21m is less than or equal to 66
-45 from both sides

.21m is less than or equal to 21
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m is less than or equal to 1000

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St=18 and s = -4 where could T be located ?

Answers

Answer:

14 or -22

Step-by-step explanation:

st=18

s=-4

-4+18=14

so t can be  at 14

or -4-18=-22

t can be at -22

Find the range of the data.

76, 72, 81, 71, 73, 89, 83, 75

Answers

Answer:

Range is 18

Step-by-step explanation:

In order: 71, 72, 73, 75, 76, 81, 83, 89

The range is the smallest number subtracted by the largest number:

89-71=18

Answer:

18

Step-by-step explanation:

71, 72, 73, 75, 76, 81, 83, 89

\mathrm{The \: range \: is \: equal \: to:}

\mathrm{Biggest \: no. - Smallest \: no.}

89-71

=18

Stephan has a dog that weighs 5 times as much as Ian's dog. The total weight of both dogs is 72 pounds. how much does Stephans dog weigh??

Answers

Answer:

Stephan's dog weighs 60 pounds.

Step-by-step explanation:

Horce read 160 pages in 4 hours. how many pages can he read in 6hours

Answers

Steps:
1. Do a proportion
160 pages/ 4 hours= x/ 6 hours
2. Do 160 times 6 which equals 960
3. Do 960 divided by 4 which equals 240
4. Your answer is
240 pages
let x be the amount of pages
160/4=x/6
4x=960 (cross multiplied)
x=240 (divided by 4 to both sides)

therefore 240 pages in 6 hours

Find two consecutive positive even numbers the sum of whose squares is 340

Answers

consecutive even means
x and x+2 since they are 2 apart

sum of squares is 340
x^2+(x+2)^2=340
expand and add
x^2+x^2+4x+4=340
2x^2+4x+4=340
divide both sides by 2 to make it easier
x^2+2x+2=170
minus 170 bot sides
x^2+2x-168=0
facotr
(x-12)(x+14)=0
set each to zero
x-12=0
add 12
x=12

x+14=0
minus 14
x=-14
but they has to e positive to disregard


x=12
x+2=14

numbers are 12 and 14
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