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olya-2409 [2.1K]
3 years ago
11

Simplify the expression using the order of operations. 10^2/4 x 3

Mathematics
1 answer:
Setler [38]3 years ago
6 0

Answer:

10^2 is exponent so do it first - 100

100/4=25

25x3=75

75

Parentheses

Exponents

Multiply - Multiply and Divide are interchangeable

Divide

Add - Adding and subtracting are interchangeable

Subtract

Step-by-step explanation:

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What equivalent expression was used<br> 3y+4y​
Irina18 [472]

Answer:

7y²

Step-by-step explanation:

First u group them like 4+3+y+y=7y²

8 0
3 years ago
Read 2 more answers
Use the following frequency distribution (of SAMPLE DATA) in answering the questions: class 0-9 f=10; class 10-19 f=20; class 20
lutik1710 [3]

Answer:

1. Five classes in the frequency distribution

2.The mid point of the third class is 24.5

3.The total number of frequency is 100

4.The relative frequency of the third class is (20/100=0.2)

5. We use n-1 because we are dealing with a sample data

6. The mean is 24.5

7. The value of the standard deviation is 11

Step-by-step explanation:

See attached picture for the solutions

4 0
2 years ago
A map of Australia has a scale of 1cm : 110 km. If the distance between Darwin and Alice springs is 1444 kilometers, how far apa
goldenfox [79]
You divide 1444 kilometers by 110 kilometers to get x cm.

1444/110 = <span>13.127

x = 13.127 cm

hope this helps</span>
5 0
3 years ago
The length of a rectangle is 4 m less than the diagonal and the width is 5 m less than the diagonal. If the area is 82 m^2, how
nikklg [1K]

I hate rounding.

Let's call the diagonal x.  It's the hypotenuse of the right triangle whose legs are the rectangle sides.

According to the problem we have a length x-4 and a width x-5 and an area

82 = (x-4)(x-5)

82 = x^2 - 9x + 20

0 = x^2 - 9x - 62

That one doesn't seem to factor so we go to the quadratic formula

x = \frac 1 2(9 \pm \sqrt{9^2-4(62)}) = \frac 1 2(9 \pm \sqrt{329})

Only the positive value makes any sense for this problem, so we conclude

x = \frac 1 2(9 \pm \sqrt{329})

That's the exact answer.  Did I mention I hate rounding?  That's about

x = 13.6 meters

Answer: 13.6

----------

It's not clear to me this problem is consistent.  By the Pythagorean Theorem the diagonal satisfies

x^2 = (x-4)^2 + (x-5)^2

which works out to

x=9 \pm 2\sqrt{10}

That's not consistent with the first answer; this problem really has no solution.  Tell your teacher to get better material.

5 0
2 years ago
What’s the area of the figure below?
TEA [102]

Answer:

482.5 ft^2.

Step-by-step explanation:

The figure can be regarded as a rectangle with a triangle cut out of one corner.

The base of the triangle = 25-20 = 5 in and the height = 20 - 13 = 7 in.

The required area = area of rectangle - area of triangle

= 25*20 - 1/2 * 5 * 7

= 500 - 17.5

= 482.5 ft^2

5 0
3 years ago
Read 2 more answers
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