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ella [17]
3 years ago
15

What is the solution to 5x-6y>42

Mathematics
1 answer:
Shalnov [3]3 years ago
6 0

Answer:

y< 5/6 - 7

Step-by-step explanation:

First, you have to send 5x to the other side so youĺl -5x and the equation will be -6y>-5x+42

Then, you divide the equation on the left side by -6 because youll want y by itself. Remember, when you divide by a negative, you flip the greater than/equal to sign. itll now be y<-5/6 - 7

done

You might be interested in
What would be the result of 100 plus 4% for 12 years
VashaNatasha [74]

Answer:

100.04

Step-by-step explanation:

8 0
3 years ago
At a certain electronics company, the daily output Q is related to the number of people A on the assembly line by Q=600+√(A+41).
Ber [7]

Answer:

A=400\ people

Step-by-step explanation:

we have

Q=600+\sqrt{A+41}

where

Q -----> is the daily output

A -----> is the number of people

For Q=621

Find the value of A

substitute and solve for A

621=600+\sqrt{A+41}

Subtract 600 both sides

621-600=\sqrt{A+41}

21=\sqrt{A+41}

squared both sides

21^{2} ={A+41}

441={A+41}

Subtract 41 both sides

441-41=A

Rewrite

A=400\ people

3 0
3 years ago
Please try this, it's a basic proof that I don't know how to do. Thanks!
avanturin [10]
A cube, is made off 6 squarial faces, so all faces on that cube, are squares, the front, back, left, right, top and bottom.

a square has all equal sides, and also all right angles, so all angles in a square are 90°.  Let's say the sides are "x" long.

now, if we run a plane on that cube diagonally, check the picture below, the diagonal side at the bottom, by usin the 45-45-90 rule as you see it there, will be x√2.

let's keep in mind that, "x" is opposite side of that angle θ, and then x√2 will be the adjacent side of it.

and we can use those two to get the tangent and then the inverse tangent to get the value, as you see it in the picture.

if you need the angle in radians, run the inverse tangent again, just make sure your calculator is in radians mode.

7 0
4 years ago
A family paid $26.400 as a down payment for a home. If this represents 16% of the price of the home, find the price of the home.
Vlada [557]
The correct answer is:

How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Convert the problem to an equation using the percentage formula: Y/P% = X
Y is 26,400, P% is 16%, so the equation is 26,400/16% = X
Convert the percentage to a decimal by dividing by 100.
Converting 16% to a decimal: 16/100 = 0.16
Substitute 0.16 for 16% in the equation: 26,400/0.16 = X
Do the math: 26,400/0.16 = X
X = 165,000
So $ 165,000 is the price of the home.

I hope this helps you!!
7 0
3 years ago
A piece of electronic equipment is built with 3 cooling fans. The equipment will function only if at least 2 of the 3 fans are w
PolarNik [594]

Answer:

0.66608

Step-by-step explanation:

Equipment = 3 fans

Mortality = 0.098

We are required to find probability that equipment gets to work for 5years

The question says forces of mortality is constant and also equal to 0.098

To calculate p(x>5)

We will do this by calculating exponentially

e^-0.098x5

= 0.612626394

Probability that at least 2 fans out of 3 are working

3(0.612626394)²+(1-0.612626394)+(0.612626394)³

= 1.1259333x0.3873736+0.2299255

= 0.6660823470

This is approximately

<u>0.6608</u>

this is the probability that the equipment will work for at least 5years

8 0
3 years ago
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