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o-na [289]
3 years ago
6

51 is more than a number is -12. What is the number?

Mathematics
1 answer:
Ivenika [448]3 years ago
7 0
The answer to 51 is more than a number is -12: is 43.
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Galena is solving the following system. 3x+2y+3z =5 7x+y +7z=-1 4x-4y-z=-3
babymother [125]

Answer:

She did not multiply equation 3 in step 2 by the correct value.

Step-by-step explanation:

Given:

3x+2y+3z=5\\7x+y+7z=-1\\4x-4y-z=-3

In order to solve this, we need to eliminate any one variable and then form a simultaneous equation with the remaining two variables. Then, we nee to solve the simultaneous equation.

Here, Galena is trying to eliminate the variable z first.

Step 1:  She multiplies equation (3) by 3 and adds it to equation (1)

Let us multiply equation (3) by 3

(4x-4y-z=-3)\times 3 = (3\times 4x)-(3\times 4y)-(3\times z)=3\times -3\\(4x-4y-z=-3)\times 3 =12x-12y-3z=-9

Now, adding this to equation 1 will cancel out z terms.

12x-12y-3z+3x+2y+3z=-9+5\\(12x+3x)+(-12y+2y)+(3z-3z)=-4\\15x-10y+0=-4

Now, she need to make one more equation in x\ and \ y.

Step 2: She multiplies equation (3) by -7 and adds it to equation (2)

Multiplying equation (3) by -7 will give,

(4x-4y-z=-3)\times -7 = (-7\times 4x)-(-7\times 4y)-(-7\times z)=-7\times -3\\(4x-4y-z=-3)\times 3 =-28x+28y+7z=21

Now, adding this to equation 2 will not cancel out z terms.

-28x+28y+7z+7x+y+7z=21-1\\(-28x+7x)+(28y+y)+(7z+7z)=20\\-21x+29y+14z=20

So, she makes mistake in step 2 as the z terms are not being cancelled.

6 0
3 years ago
Read 2 more answers
What are the next three terms of the sequence below?
vichka [17]

<u>Answer:</u>

  • 64, 256, 1024 (D)

<u>Step-by-step </u><u>Explanation</u><u>:</u>

The sequence is following some rule. And the rule is: Multiplying the term with 4 to get the next term. Like:

  • 1 × 4 = 4
  • 4 \times 4 = 16

Similarly, the next terms are:

  • 16 \times 4 = 64
  • 64 \times 4 = 256
  • 256 \times 4 = 1024

The terms are <u>6</u><u>4</u><u>,</u><u> </u><u>2</u><u>5</u><u>6</u><u>,</u><u> </u><u>1</u><u>0</u><u>2</u><u>4</u> which matches with Option D. And that's the correct answer

4 0
3 years ago
Read 2 more answers
Percent of200miles is 150miles
melomori [17]
75% is the answer you are looking for. 150 divided by 200 is .75, translating into 75%. The answer. Hope I helped.
6 0
3 years ago
Its math and i think thats all you really need to know
Snezhnost [94]

Answer:

148692/12

Step-by-step explanation:

12391

7 0
3 years ago
What is x^2+6^2=10^2
VARVARA [1.3K]

Answer:

Follow the order of operations and then solve from there

x^2 is simplifed to its max

6^2 is 36

10^2 is 100

x^2+36=100

Follow it normally

x^2=64

√64 = 8

x=8

**edited, sorry for the incorrect answer**

7 0
3 years ago
Read 2 more answers
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