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Vika [28.1K]
3 years ago
8

What is the solution to the system of equations below? y = 1/4x + 2 and 3y = - 3/4x -6

Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0

Answer:

{y = x/4 + 2, 3 y = -(3 x)/4 - 6}

Step-by-step explanation:

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The reciprocal of 10 2/3​
Mashutka [201]
The reciprocal of 10 2/3 is 3/32
3 0
3 years ago
Subtract the fractions and simplify the answer 7 8/9-5 3/5
weeeeeb [17]
One way in which to do this problem would involve subtracting 5 from 7 (result:  2) and then subtracting 3/5 from 8/9.
To subtract 3/5 from 8/9, you'd need to find the lowest common denominator (LCD) of 3/5 and 8/9, convert both fractions to have this LCD, and then subtract.

The LCD is (5)(9)=45.  Then 8/9 and 3/5 become 40/45 and 27/45.

Subtracting 27/45 from 40/45 results in the fraction 13/45.
Then the full solution is  2 13/45.

You could also do this problem by converting  7 8/9    and   5 3/5 into improper fractions:

71/9 - 28/5.  Again, the LCD is 45.  Can you rewrite both fractions with 45 as the common denominator and then perform the subtraction?
4 0
3 years ago
Lines k and p are perpendicular, neither is vertical and p passes through the origin. Which is greater? A. The product of the sl
AlladinOne [14]
What do we know about those two lines?

They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)

For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]

So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
So the product of slopes must be greater.
Answer A
4 0
3 years ago
SOMEONE PLZZ HELP WITH THESE 2 PROBLEMS ASAP PLSSSSS!!! HELP NEEDED!! WILL MARK BRAINLYIST!!
Pavlova-9 [17]

Good morning Sir/Ma'am!

Answer:

f(r) = 40r + 26

If she can only afford 10 rolls, then the maximum number of nickels Cindy will have is:

f(10) = 40(10) + 26 = 426 nickels


Step-by-step explanation:

Given function  f(r)=40r+26, where r is the number of rolls of nickels she gets.


as it is already mentioned that she can get up to 10 rolls of nickels.


Therefore domain of function contains r ≤10,such that r is a natural number.


i.e.Domain of f(r)=all integers from 1 to 10, inclusive.


Domain of a f(x) is a set of values of x which make function f(x) well defined.



--------------------------------------------------------------------------------------------------------


Have a great day! ( :

5 0
3 years ago
Find the midpoint of the segment with the following endpoints.<br> (2,9) and (8,1)
vazorg [7]

Answer:

\displaystyle (5,5)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Midpoint Formula: \displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

Point (2, 9)

Point (8, 1)

<u>Step 2: Identify</u>

(2, 9) → x₁ = 2, y₁ = 9

(8, 1) → x₂ = 8, y₂ = 1

<u>Step 3: Find Midpoint</u>

Simply plug in your coordinates into the midpoint formula to find midpoint

  1. Substitute in points [Midpoint Formula]:                                                         \displaystyle (\frac{2+8}{2},\frac{9+1}{2})
  2. [Fractions] Add:                                                                                                  \displaystyle (\frac{10}{2},\frac{10}{2})
  3. [Fractions] Divide:                                                                                              \displaystyle (5,5)
7 0
3 years ago
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