MATHEMATICS MIDDLE SCHOOL

How do I find the area of 2 1/4 and 3 1/3? They say that the answer should be 7 1/2.... please show me how you did this

Answers

Answer 1
Answer:

Answer:

easy

Step-by-step explanation:

2 1/4 = 9/4

3 1/3 = 10/3 times both

9/4 x 10/3 = 7 1/2

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What is the sum of two intergers with different sighs is 8. Give two possible intergers

Answers

You can use positive 10 and -2 and you'll get a positive 8

What is -3.45 minus positive 2.2

Answers

Answer:

-5.65

Step-by-step explanation:
The answer is -5.65.

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

Which of the following is the solution to 9|x+4|>54 ?

Answers

Answer:

x < -10, x > 2

Step-by-step explanation:

9|x+4| > 54

|x+4| > 6

Split the absolute value into two equation, positive and negative.

1.)POSITIVE

x+4 > 6

x > 2

2.)NEGATIVE

-(x+4) > 6

-x - 4 > 6

-x > 10

x < -10

Answer:

\large\boxed{x<-10\ \vee\ x>2\to x\in(-\infty,\ -10)\ \cup\ (2,\ \infty)}

Step-by-step explanation:

9|x+4|>54\qquad\text{divide both sides by 9}\n\n(9|x+4|)/(9)>(54)/(9)\n\n|x+4|>6\iff x+4>6\ \vee\ x+4<-6\n\nx+4>6\qquad\text{subtract 4 from both sides}\n\nx+4-4>6-4\n\nx>2\n\nx+4<-6\qquad\text{subtract 4 from both sides}\n\nx+4-4<-6-4\n\nx<-10

Diagram shows two perpendicular straight lines,OB and CBD,drawn on a Cartesian plane.find
(a)the equation of the straight line CBD
(b)the-x intercept of the straight line DQ

Answers

Answer: (a) y = -3x + 10

               \bold{(b)\x=\bigg((10)/(3),0\bigg)}  

Step-by-step explanation:

The slope of line CD is perpendicular to line OB, which means they have opposite and reciprocal slopes.

Step 1: Find the slope of OB using the formula: m=(y_2-y_1)/(x_2-x_1)

(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 1)

m=(1-0)/(3-0) = (1)/(3)

Step 2: Find the slope of CD (opposite and reciprocal of OB)

m = (1)/(3)\qquad m_\perp=-\bigg((3)/(1)\bigg) = -3

Step 3: Input the perpendicular slope and the slope into the Point-Slope formula: y - y₁ = m(x - x₁)

(x₁, y₁) = (3, 1) because it is the point the line will pass through

y - 1 = -3(x - 3)

y - 1 = -3x + 9      distributed -3 into (x - 3)

y      = -3x + 10    added 1 to both sides

***********************************************************************

The x-intercept of DQ is the same x-intercept as CD.  The x-intercept is when y = 0

y = -3x + 10

0 = -3x + 10

-10 = -3x       subtracted 10 from both sides

(10)/(3)=x    divided both sides by -3

During 2002 a town had a total snowfall of 92 inches, which was an increase of 15% from the previous year. What was the total snowfall in the previous year?

Answers

1.) Divide 92 by 100 so that it can be 100 pieces or 100%  92/100= 0.92
2.) Multiply the 15% be 0.92 to get how much more inches in snow that they got this year than last year.  15 X 0.92= 13.8
3.) Since we have how much more inches of snow they got all we need to do is subtract 13.8 from 92.   92-13.8= 78.2
4.) In the previous year the town had received 78.2in of snow.
                                                              I hope this helps :)
The town received 78.2 inched of snow the previous year 
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