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Genrish500 [490]
3 years ago
11

One number is 20 times another number. The product of the two numbers is 180. Write an equation and use it to find all pairs of

numbers that satisfy the
Mathematics
2 answers:
nadezda [96]3 years ago
8 0
Y = 20x

y • x = 180

180/x = y

180/x = 20x

180 = 20x^2

x^2 = 6

x = + or - 3

Therefore y must equal + or - 60.
timama [110]3 years ago
5 0

Answer: the Smaller number is 3

The larger number is 60

Step-by-step explanation:

Let x represent the smaller of the numbers.

Let y represent the larger number.

One number is 20 times another number. This means that

y = 20x

The product of the two numbers is 180. This means that

xy = 180- - - - - - - - - -1

Substituting y = 2x into equation 1, it becomes.

x × 20x = 180

20x² = 180

x² = 180/20 = 9

x = √9

x = 3

y = 20x = 20 × 3

y = 60

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7 0
3 years ago
Which is the answer?
algol13
B or c that’s feels the most likely to be it
7 0
3 years ago
I don’t even know what I’m doing
larisa86 [58]

Answer:

(8, -22)

Step-by-step explanation:

The tables each contain four (x,y) points of a straight line. You can see that for every increase of x by 2, y decreases by 8 in the first one (observe 26, 18, 10 2), and decreases by 6 in the second.

If you continue the table with x=4, 6 and 8, you get y=-22 in both cases for x=8. That is the intersection, so the solution is (8,-22).

Added a graph. The equations are y=10-4x and y=2-3x respectively. Hope you understand a bit of this (brief) explanation.

5 0
2 years ago
How do I do -9+-2x+9x-1
SVETLANKA909090 [29]
You combine like terms.
-2x+9x
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3 0
3 years ago
Read 2 more answers
Helpppp me please!! I dont understand.
Andrei [34K]

Answer:

A) mPQ = 71º

B) mSR = 161º

C) mQRT = 199ª

D) mPSR = 270º

E) mPS = 109º

Step-by-step explanation:

We know that mST is 19º and QR is also 19º because they're opposite angles. We also know that angle PUR is 90º.

If we subtract 19º from 90º we get 71º for mPQ.

We also know that TR is a 180º angle. Using this if we take 19º from 180º we're left with 161º for mSR.

Using the 180º from angle TR, as well as the 19º from mQR we know that mQRT has to be 199º.

A circle is 360º and a right angle is 90º. That means that mPSR is 270º.

Knowing that TR is 180º and that PR is 90º, PTº must be supplementary making it also 90º. Adding the 19º from ST to the 90º from TP we know that PS is 109º

4 0
3 years ago
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