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WARRIOR [948]
3 years ago
8

Which values of P and Q result in an equation with no solutions? -60x+32=Qx+P

Mathematics
1 answer:
Elena L [17]3 years ago
4 0
Q = -60 and P ≠ 32 will result in an equation with no solutions. (Both conditions must be met.)

_____
For Q = -60 and P = 32, there will be an infinite number of solutions. For any other values of Q and P, the solution is
.. x = (32 -P)/(Q +60)
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: Ruben put an empty cup underneath a leaking faucet. After 1 1 2 112 hours, Ruben had collected 1 4 14 cup of water. What is th
slamgirl [31]

Answer:

The rate is \frac{1}{6} cups per hour

Step-by-step explanation:

It took the faucet 1 1/2 hours equivalent 3/2 hours to fill 1/4 cup by leaking

We need to find the rate in terms of cups that can be filled by water in 1 hour.

Using unitary method:

it takes \frac{3}{2} h for \frac{1}{4} cup

it will take 1 h for how many cups?

= \frac{1 \times \frac{1}{4} }{\frac{3}{2} }= \frac{2}{4 \times 3}= \frac{2}{12}= \frac{1}{6} cups

Hence, the rate is \frac{1}{6} cups per hour

6 0
3 years ago
Which comparison symbol makes each inequality statement true? Enter < , > , or = to make each statement true. Enter your a
siniylev [52]

Answer:

−3.632 > −3.792

|−3.632| < |−3.792|

Step-by-step explanation:

Given :

−3.632 −3.792 |−3.632| |−3.792|

First comparison :

−3.632 −3.792

Using the knowledge of number line :

- 3.792 occurs farther to the left of a number line than - 3.632, and numbers which occurs farther to the left are lesser. Therefore,

−3.632 > −3.792

2.)

|−3.632| |−3.792|

The presence of the absolute value symbol annuls the negative sign in the digit given. Hence, we can view both numbers as being positive values as ; 3.632 3.792

Numbers further to the right of a number line are greater and 3.792 occurs farther to the right than 3.632.

Hence,

|−3.632| < |−3.792|

3 0
3 years ago
What is the slope of a line perpendicular to the
Dahasolnce [82]

Answer: a. -3/5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The sum of 5 consecutive numbers is 200. What is the smallest number?​
Vikentia [17]

Answer:

Hey!

Your answer is 44!

Step-by-step explanation:

Here's how...

x+(x+2)+(x+4)+(x+6)+(x+8)=200

5x+20=200  (minus 20 on both sides to get 5x by itself)

5x=180  (divide both sides by 5 to get just x)

x=36

5th number - x+8=36+8=44 (simple substitution and addition)

I HOPE THIS HELPS!

6 0
3 years ago
Read 2 more answers
Write the ratio<br> 2/3 /5<br> in simplest form
Ierofanga [76]

Answer:

A) 2/15

Step-by-step explanation:

So just divide it normally, do keep change flip

2/3*1/5

2/3 keep

divison change

Denomeinator, flip it, 5 to 1/5

now multiply

2/15

5 0
3 years ago
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