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Lana71 [14]
3 years ago
7

105/8 as a mixed number

Mathematics
1 answer:
Kipish [7]3 years ago
8 0
13 1/8
Because 13x8=104+1=105/8
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Apply the distributive property to create an equivalent expression.
rjkz [21]

Answer:

4x-8+4y

Step-by-step explanation:

We are given that an expression

4(x-2+y)

We have to find an equivalent expression using distributive property .

Distributive property:

a\cdot (b+c)=a\cdot b+a\cdot c

Using the property

4(x-2+y)=4(x-2)+4\cdot y

4(x-2+y)=4x+4(-2)+4y

4(x-2+y)=4x-8+4y

Hence, the equivalent expression  of the given expression is given  by

4x-8+4y

6 0
2 years ago
Which expression is equivalent to sin^2(pi/2 - x)/ sin x?
Yuki888 [10]
We\ know:\\\\\sin\left(\dfrac{\pi}{2}-x\right)=\cos x\\and\\\sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x\\---------------------------\\\\\dfrac{\sin^2\left(\dfrac{\pi}{2}-x\right)}{\sin x}=\dfrac{\cos^2x}{\sin x}=\dfrac{1-\sin^2x}{\sin x}=\dfrac{1}{\sin x}-\dfrac{\sin^2x}{\sin x}\\\\=\dfrac{1}{\sin x}-\sin x=\csc x-\sin x
3 0
3 years ago
Solve for x and y:<br> 3x + 7y= 22<br> 123 + 28y = 88
ale4655 [162]

Answer:

1.

2.

Step-by-step explanation:

1. Since this is a equation we know we have to get the variables to one side and the constants/rational numbers to the other. So you take 7y and you add -7y. You do that to the other side which will give you -4y=22. Since we cant have a negative variable, you flip the y to positive and flip the constant to negative leaving you 4y=-22. Then you distribute y leaving you y=-5.5

2.since we know the constants must be on 1 side of the equal sign, we subtract 123 on both sides, leaving us with 28y=-35. Distribute y and you get y=-0.8

5 0
3 years ago
Let E be the event that a corn crop has an infestation of ear worms, and let B be the event that a corn crop has an infestation
KatRina [158]

Answer:

The probability that a corn crop has either an ear worm infestation, a corn borer infestation

P(EUB) = 0.27

Step-by-step explanation:

<u>Explanation</u>:-

<u>Addition theorem on probability</u>:-

If S is a sample space, and E , F are any events in S then

P(EUF) = P(E) +P(F) -P(E n F)

Let 'E' be the event that a corn crop has an infestation of ear worms

let 'B' be the event that a corn crop has an infestation of corn bores

P(EUB) = P(E) +P(B) -P(E n B)

given P(E) = 0.24 and P(B) = 0.16 and P(E n B) =0.13

P(EUB) = P(E) +P(B) -P(E n B)

P(EUB) = 0.24 + 0.16 - 0.13

           = 0.27

The probability that a corn crop has either an ear worm infestation, a corn borer infestation

P(EUB)=0.27

7 0
3 years ago
Order these numbers from least to greatest.<br> 2.9, 2.207, 3.76, 2.27
Lelu [443]

Answer:

From least to greatest, the order would go: 2.207, 2.27, 2.9, 3.76.

Step-by-step explanation:

To find the least greatest number, we have to look at each digit. In this number sequence, the least greatest number is a 2 for the single digit. With those 2s, 2.2 is the lowest out of them. And out of the 2.2s, the 2.207 is smaller than the 2.27. The 2.27 is the next number, then the 2.9 and then the 3.76.

Hope this helps! :)

7 0
3 years ago
Read 2 more answers
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