MATHEMATICS MIDDLE SCHOOL

To solve the equation for x by completing the square what equation is equivalent to x^2-x-2=0here are options for both blanks (The equivalent equation (x-Blank)^2=Blank

-1/4
1/4
-1/2
1/2
-9/4
9/4
-3/2
3/2

Answers

Answer 1
Answer: so to complete the square in
ax^2+bx+c=d form

make sure a=1
subtract c from both sides
take 1/2 of b and square it
add that to both sides
factor perfect square

1x^2-1x-2=0
a=1
move c to other side
add 2 to oth sides
x^2-1x=2
take 1/2 of b and square it
1/2 of -1=-1/2
squaer it
1/4
add that to both sides
x^2-1x+1/4=2+1/4
factor left side
(x-1/2)=2+1/4

first blank is 1/2

2+1/4=8/4+1/4=9/4

blanks are
1/2 and 9/4

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Jason hiked 15.6 kilometers on Saturday, 18.1 kilometers on Sunday,and 22.7 kilometers on Monday. How many kilometers did he hike during the three days?A. 56.1
B. 48.7
C. 52.9
D. 56.4

Answers

Answer:

The correct answer is D. 56.4

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Kilometers hiked by Jason on Saturday = 15.6

Kilometers hiked by Jason on Sunday = 18.1

Kilometers hiked by Jason on Monday = 22.7

2. How many kilometers did he hike during the three days?

Total of kilometers hiked by Jason = Kilometers hiked by Jason on Saturday + Kilometers hiked by Jason on Sunday + Kilometers hiked by Jason on Monday

Total of kilometers hiked by Jason = 15.6 + 18.1 + 22.7

Total of kilometers hiked by Jason = 56.4

Convert measurement 12,000 lb= T

Answers

6 imperial tons, or approximately 5.3571 metric tons.
yeah it will be 6 tons.

1 ton = 2000 lbs

12,000/2000 = 6 tons

Which is greater 81.9,81.90,81.900 or 81.91?

Answers

As long as there are no numbers after them the zeros on the right of the decimal don't matter (i.e. 6.3000000=6.3    3.00000=3)
So 81.9=81.90=81.900
Since three of them are the same number there is only one answer left (81.91)
its 81.91 because you can add 0 s to the end of the other numbers and 1 is bigger than 0

Raymond wants to make a box that has a volume of 360 cubic inches. He wants the height to be 10 inches and the other two dimensions to be whole numbers of inches. How many different-sized boxes can he make?

Answers

3 because 360/10 =36 so you have to find factors of 36 (not sure if factors is the right word) but they are :3&12,9&4,6&6
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The measure of an angle is fifty-nine times the measure of a supplementary angle. What is the measure of each angle?__and__

Answers

so
supplementary angles are adding up to 180
lets say they are x and y
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x is 59 times y
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59y+y=180
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Answer:

The answer for this question is 3 and 117

A muffin recipe calls for 4 tablespoons of water to make 10 servings. How many tablespoons of water are needed to make 8 servings? Answers: A. 2.5 tablespoons   B. 3.2 tablespoons   C. 5 tablespoons   D. 20 tablespoons         

Answers

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x=2.5



the 8 tablespoon divided by  2.5 is 3.2
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