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kogti [31]
3 years ago
5

The sum of two numbers is 17. One number is 7 less than the other. What are the two numbers?

Mathematics
1 answer:
lions [1.4K]3 years ago
7 0

Answer:

5 and 12

Step-by-step explanation:

First, set up an equation. Since it says that one number is 7 less than the other, we can use x for the number that is 7 less than the other number, and x+7 to represent the other number. We set the equation equal to 17 because the question says that the sum of two numbers is 17.

x+x+7=17

Then, you solve the equation:

x+x+7=17

2x+7=17

2x=10

x=5.

So, the number that is 7 less than the other number is 5. To find the other number, we would add 7 to 5 because the other number would be 7 more than 5.

7+5=12

The two numbers are 5 and 12.

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viktelen [127]

Answer:

1/32

Step-by-step explanation:

You plug 7 for n and solve in calculator.

7 0
3 years ago
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Approximate the zeros of the function. Round to the nearest tenth if necessary. f(x) = 4x^2 + 4x - 35. Explain each step on how
svet-max [94.6K]
4x²+4x-35=0
factor: (2x+7)(2x-5)=0
2x+7=0, or 2x-5=0
2x=-7 or 2x=5
x=-3.5 or x=2.5

I don't see any rounding necessary in this case. 

when you factor ax²+bx+c, you take the two factors of a and the two factors of c, one factor of a times one factor of c, the other factor of a times the other factors, the sum of the two products make b.
in this case, the factors of 4 is 2 and 2, the factors of -35 is -5 and 7. I line them up in the following way:
2    -5

2      7
then I multiple them diagonally, the top left 2 multiplying the bottom right 7=14, and the other 2 multiplying -5=-10, 14 and -10 make a sum of 4.

if you don't get the desired sum, switch the factors up and down till you have the right combination. Note: Do not switch left and right. 

I hope this makes sense to you.
8 0
3 years ago
Am in 8 groups. I am larger than 50. I have 7 in each of my groups. What product am i?
Sergio [31]

Answer:

56

Step-by-step explanation:

8 times 7=56

3 0
3 years ago
There was 2/3 of pan of lasagna in the refrigerator. Bill and his friends ate half of what was left. Write a number sentence and
Veseljchak [2.6K]
Half of 2/3 is:

\frac { 1 }{ 2 } \times \frac { 2 }{ 3 } =\frac { 1 }{ 3 }

This means that 1/3 was left. This also means that they ate 1/3 of the lasagne.

Model diagram can be seen in attachment.

5 0
3 years ago
Solve for x x squared plus 4X minus 21 equals 0
suter [353]

Answer:

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Step-by-step explanation:

x² + 4x - 21 = 0 factors as follows:  (x + 7)(x - 3) = 0.

Then x = -7 and x = 3.

3 0
3 years ago
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