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Rom4ik [11]
4 years ago
6

How do you solve this system of equations? 18x^2+12xy-18y^2=30 -x^2-3xy+y^2=3

Mathematics
1 answer:
kiruha [24]4 years ago
6 0
Combine the like terms.

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In a swimming competition, Susie swims 22 laps less than Jackie (j). Write an expression for the number of laps
saw5 [17]

Answer:

22>j

Step-by-step explanation:

6 0
3 years ago
Find the value of x. Round to the nearest tenth. 37 17.3 units​
dlinn [17]

Answer:

x ≈ 21.7

I rounded to the nearest tenth because the values are given in tenths. The first few digits of x are below if you are rounding to something else, as the image is cut out.

Step-by-step explanation:

(It will not let me post, so I've attached a screenshot of my explanation:)

7 0
3 years ago
Anita invested $6000, some at 5% and the rest at 6%. If the yearly income is $337.50, what is the amount invested at each rate?
Pepsi [2]

Let the amount invested with 5% interest be x

Therefore, the amount invested with 6% interest will be (6000-x)

It is given that the total interest earned yearly is $337.5. Thus, the equation of interest will be:

\frac{5}{100}x+\frac{6}{100}(6000-x)=337.5

Multiplying both sides by 100 we get:

5x+6(6000-x)=33750

5x+36000-6x=33750

Subtracting both sides by 36000 we get:

-x=-2250

\therefore x=2250

Thus, the amount invested at 5% is $2250

Therefore, the amount invested at 6% will be $(6000-2250)=$3750

6 0
3 years ago
In converting 10 inches to centimeters, what unit (omit the number) would you place in the numerator of your ratio?
belka [17]

Answer:

  centimeters

Step-by-step explanation:

The numerator of the conversion factor always has the "to" units. The denominator has the "from" units. That way, when you multiply, the "from" units cancel:

  (xx <em>from</em>) · (yy <em>to</em>)/(zz <em>from</em>) = xx·yy/zz · (<em>from/from</em>) · <em>to</em> = xx·yy/zz · <em>to</em>

Here, you want to convert to centimeters, so centimeters will be the units in the numerator.

  10 in · (2.54 cm)/(1 in) = 25.4 cm

_____

The conversion factor is always "1". That is, the numerator and denominator are always <u>equal</u> in value. Here, 2.54 cm = 1 in, so (2.54 cm)/(1 in) = 1. You can multiply by 1 anytime you like. For units conversion, it only has the effect of changing the units.

5 0
3 years ago
HELP THIS IS DUE IN 1:00 PM AND I WILL GIVE BRAINLIEST
amid [387]

Answer:

1) They were multiplied by one power of ten because 2.5x 1^10 is 25, and so that it is easier to divide.

19.625/ 2.5 * 10/10 = 196.25/25

Hope this helps plz hit the crown ;D

5 0
3 years ago
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