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ryzh [129]
3 years ago
8

x = y - 3 x + 3y = 13 What is the solution to the system of equations? A) (1, 4) B) (4, 1) C) (7, 4) D) (2.5, 5.5)

Mathematics
1 answer:
egoroff_w [7]3 years ago
6 0
X+ 3y = 13
(y - 3) + 3y =13
4y - 3 = 13
4y -3 + 3 = 13+3
4y = 16
4y/4 = 16/4
y=4

x = 4 - 3
x = 1

A) (1, 4)

Check x+3y =13
1+ 3(4) =13
1 + 12=13
13=13
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Jack has some marbles. He has ten more red marbles than blue marbles. He has fewer yellow marbles than blue marbles.
kap26 [50]

Answer:

<u>Jack has at least 15 marbles: 12 red, 2 blue and 1 yellow.</u>

Step-by-step explanation:

1. Let's review the information given to us to solve the problem correctly:

Number of red marbles = 10 more than blue marbles

Number of yellow marbles fewer than blue marbles

2. How many of each color marble could Jack have?

r = Number of red marbles

b = Number of blue marbles

y = Number of yellow marbles

r = b + 10

y < b

If y = 1, then b ≥ 2, and r = b + 10,

fulfilling the three conditions, we have:

<u>y = 1, b = 2, and r = 12</u>

5 0
3 years ago
S 0.4544555444........ Rational or Irrational? Why
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Step-by-step explanation:

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8 0
2 years ago
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angle E

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3 years ago
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Kim’s soccer team played in 33 games. They won 1 more than 15 times of the number of games they lost. Which system of equations
VARVARA [1.3K]
W = 1+15*l
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5 0
3 years ago
The volume of a rectangular prism is 270 cubic centimeters the height of the prism is 5 centimeters. What could the length and w
kotegsom [21]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Volume = 270 cm³

height = 5 cm

length = ?

width = ?

Formula

Volume of a rectangular prism = height x length x width

- Solve for Area of the base (height x length)

Area of the base = Volume / height

-Substitution

Area of the base = 270 / 5

-Result

Area of the base = 54 m²

2.- Find the prime factors of 54

                    54   2

                    27   3

                      9   3

                      3   3

                       1

3.- The possible values of the sidas of the rectangle are:

Combining the prime factor of 54.

              Length                        Width

              2 x 3 = 6           and    3 x 3 = 9

or            2 x 3 x 3 = 18   and    3 x 1 = 3

or            3 x 3 x 3 = 27  and     2 x 1 = 2

6 0
3 years ago
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