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Luden [163]
3 years ago
13

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x –

Mathematics
1 answer:
mafiozo [28]3 years ago
3 0

Answer:

0 = x2 - 9x + 20

Step-by-step explanation:

y + 5x = x² + 10     Simplify this equation

  - 5x   - 5x

y = x² - 5x + 10

Set both equations equal to each other since they both equal y

x² - 5x + 10 = 4x - 10

    -4x           - 4x

x² - 9x + 10 = -10

         + 10   + 10

x² - 9x + 20 = 0

If this answer is correct, please make me Brainliest!

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Parker drove a total distance of 4 and 1 over 2 miles during the months of June and July. If Parker only drove 1 over 8 of a mil
never [62]

Answer: 4 and 1 over 2 ÷ 1 over 8


Step-by-step explanation:

Given that : Total distance drove by Parker =4 and 1 over 2 miles=4\frac{1}{2} miles

Distance drove by Parker each day = 1 over 8 mile=\frac{1}{8} mile

To find the total number of days , we need to divide the total distance by the distance drove by him in each day.

Thus, the number of days he went driving=4 and 1 over 2 ÷ 1 over 8

5 0
3 years ago
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6 0
3 years ago
Explain how you could use the conversion table to convert 700 centimeters to meters.
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8 0
4 years ago
A collection of nickels and quarters is worth 2.85 . There are 3 more nickels than quarters how many nickels and quarters are th
Zolol [24]

A nickel is equal to 5 cents or 0.05 dollars.

A quarter is equal to 25 cents or 0.25 dollars.

Let number of nickels be = n

Let number of quarters be = q

0.05n+0.25q=2.85    ...........(1)

As it is given, there are 3 more nickels than quarters so equation becomes,

n=q+3   ................(2)

Plug in the value of 'n' from (2) in (1)

0.05(q+3)+0.25q=2.85

= 0.05q+0.15+0.25q=2.85

0.30q=2.70

q=9

As n=q+3 we get, n=9+3=12

Hence, there are 12 nickels and 9 quarters.

3 0
3 years ago
What is the value of y? ​
alexira [117]

9514 1404 393

Answer:

  y = 8√3

Step-by-step explanation:

In the 30°-60°-90° "special" triangle, the ratio of sides lengths is ...

  1 : √3 : 2 = 8 : y : hypotenuse

In order for these ratios to be equal, we must have ...

  y = 8√3

__

If you want to solve this using your trig skills, you recognize that ...

  Tan = Opposite/Adjacent

  tan(30°) = 8/y

  y = 8/tan(30°) . . . . where tan(30°) = 1/√3

  y = 8√3

4 0
3 years ago
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