MATHEMATICS HIGH SCHOOL

Will give correct answer the brainliest !!!

Answers

Answer 1

Answer:

1. 3 2/3

2. 4 9/10

3. 1 27/56

4. 58 2/15

5. 11 1/24

Step-by-step explanation:

1. To find the answer, add 3 1/6 and 5 9/10. First change them into improper fractions. 5 9/10 is 59/10 and 3 1/6 is 19/6. Now, you have to make the denominator (bottom number) the same number for both fractions. To do this you must find a LCM for both the number (10, 6) a LCM for these numbers is 30. Now to change the denominator to this you must times the numerator and denominator by the number needed to get the LCM for the denominator.

So 6 x 5 = 30 and 3 x 10 = 30.

19/6 x 5 = 95/30 and 59/10 x 3 = 177/30

Now add the fractions:

This equals 272/30

Simplify:

Now take 12 5/6 and turn it into a improper fraction: 77/6

Now again, you have to make the denominator to 30

77/6 x 5 = 385/30

Now subtract 385/30 - 272/30

This equals 113/30

Now turn this back into a mixed fraction:

3 23/30

The answer is 3 23/30

This process is basically the same for all the other questions.

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What are the roots of 12x = 9 + 5x2?

Answers

minus 12x both sides
0=5x^2-12x+9
use quadratic formula
for 0=ax^2+bx+c
x= $(-b+/- √(b^2-4ac) )/(2a)$

given
5x^2-12x+9
a=5
b=-12
c=9
remember: i=√-1

x= $(-(-12)+/- √((-12)^2-4(5)(9)) )/(2(5))$
x= $(12+/- √(144-180) )/(10)$
x= $(12+/- √(-36) )/(10)$
x= $(12+/- (√(-1))(√(36)) )/(10)$
x= $(12+/- i(√(36)) )/(10)$
x= $(12+/- 6i )/(10)$
x= $(6+/- 3i )/(5)$

the roots are
x= $(6+ 3i )/(5)$ and $(6- 3i )/(5)$

A clothing store offers a free T-shirt when a customer spends $75 or more. Lyndon has already spent $36.95. Which statement best represents all of the amounts he can spend to get a free T-shirt?

Answers

Answer:

38.05 or more is the awnser so C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope that helps

The rectangle below has an area of x ^ 2 - 16 square meters and a width of x + 4meters . What expression represents the length of the rectangle?

Answers

Answer:

length=x-4

Step-by-step explanation:

Can somebody help me with number four plz

Answers

Step-by-step explanation:

$30.32/8 = $3.79 per gallon

4. (a)

Weight of single gallon = 41.7/5 = 8.34 pounds

(b)

Weight of 70 gallons = 70*8.34 =

583.8 pounds

Which advantage do consumers gain from buying a vehicle rather than leasing it?A. smaller down payment
B. no mileage restrictions
C. lower interest rates
D. no value depreciation
E. lower maintenance costs

Answers

c is your answer you are welcome

Answer:

Step-by-step explanation:

Six times a certain number is 16 more than twice the number

Answers

x - the number

$6x=2x+16 \ \ |\hbox{subtract 2x from both sides} \n4x=16 \ \ |\hbox{divide both sides by 4} \nx=4$

The number is 4.

6n=2n+16

6n-2n=16

4n=16

n=16/4

n=4

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Which of the following gives an example of a set that is closed under multiplication? Choose all that apply.. . . . A. The product of a perfect cube and a perfect cube. B. The product of 0 and 0. C. The product of a whole number and a whole number. D. The product of a perfect square and a perfect square. . I think its b and c? help anyone...

Sally is 54 years old and her mother is 80, how many years ago was Sally’s mother times her age?

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