MATHEMATICS MIDDLE SCHOOL

Why was igor unhappy about his spelling test even though he got every thing right

Answers

Answer 1
Answer: Igor might've been unhappy because he cheated to get a good grade/score.
Answer 2
Answer: Because he didn't capitalize proper nouns. Like Igor vs igor.

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Three less than one-fourth of the product of eight thirds and nine. Please write equation, then solve.

Answers

Put simply, you have to work backwards in making the equations. Start with the product of 8/3 and 9.
(8)/(3)*9

 Next take 1/4 of that. This can be done in two ways, either multiplying by 1/4:
((8)/(3)*9)*(1)/(4)

, or dividing everything by 4.
((8)/(3)*9)/4

Finally, subtract three.

The final equation would read:
(((8)/(3)*9)*(1)/(4))-3



Using PE(M/D)(A/S), we'd start with (8)/(3)*9

3 and 9 cancel out to be 1 and 3, leaving us with (8)/(1), or 8, and 3 and this part of the equation reading 8*3, which is 24.

The next step is (24)/(4), which is 6.

Lastly we subtract 3 from six, leaving us 3.

¹/₄ × ( ⁸/₃ × 9 ) - 3 = 3

Further explanation

Order of Operations in Mathematics follow this following rule :

  • Parentheses
  • Exponents
  • Multiplication and Division
  • Addition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem!

Product of eight thirds and nine

(8)/(3) * 9

One-fourth of the product of eight thirds and nine

(1)/(4) * ( (8)/(3) * 9 )

Three less than one-fourth of the product of eight thirds and nine

(1)/(4) * ( (8)/(3) * 9 ) - 3

= (1)/(4) * ( (8 * 9)/(3) ) - 3

= (1)/(4) * ( (72)/(3) ) - 3

= (1)/(4) * 24 - 3

= (1 * 24)/(4) - 3

= (24)/(4) - 3

= 6 - 3

= \boxed {3}

Learn more

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Order Of Operations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

To the nearest hundredth of a centimeter, what is the length of the hypotenuse?

Answers

Side of the triangle is given as :- 32.63 cm

Angle formed by hypotenous and one side of triangle = 30°

We can solve this question by using cos30°

So,
= > cos30 = (32.63)/(hypotenuse) \n \n = > hypotenuse = (32.63)/( 0.866 ) \n \n = > hypotenuse = 37.679 \: \: \: \: (ans)
The hypotenuse would be equal to roughly 37.67 centimeters. 

In order to find this we use the cosine function and the adjacent side length. Then my cross multiplying and solving, we can get the answer. 

Cos( \alpha) = (ADJ)/(HYP)

Cos( 30) = (32.63)/(HYP)

.866(HYP) = 32.63

HYP = 37.67

Please help me I need it by tomorrow

Answers

4.1+(-4)= -3
6. 2
8. -18
10. 19
12. 42
14. 0

A circular swimming pool holds 1.22 x 10^6 cubic inches of water. It is being filled at a rate of 1.5 x 10^3 cubic inches per minute. How many hours will it take to fill the swimming pool?

Answers

You can set up a proportion:
1.5*10^3/1=1.22*10^6/x
Cross multiply:
1.22*10^6=1.5*10^3x
Solve for x:
x=(1.22*10^6)/(1.5*10^3)
x≈813.33
Now, Divide 813.33 by 60 because the question asks for hours, not minutes:
813.33/60≈13.56
So it will take approximately 13.56 hours for them to finish filling up the swimming pool.

Evaluate the expression
(2/5+11)x(10-(-3))

Answers

Answer: 741/5

Step-by-step explanation:

57/5*(10/3)

57/5*13

Answer: answer is 741/5x

Step-by-step explanation:

how do you solve this problem what do you put on the empty boxes and graph please help me ASAP thanks in adavance

Answers

first column of (x) put {0,1,2,3,4} then substitute in the equation of y to get the y value for each x
then in each row you have (x,y) , so plot them on the graph and you will get a line
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