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aivan3 [116]
3 years ago
12

What points are solutions to the equation 3x-4y-8=12

Mathematics
2 answers:
ikadub [295]3 years ago
8 0

Answer:

x = 6.67

Step-by-step explanation:

Rewrite the equation:

-4y = -3x +20

y = \frac{3}{4} x-5

Find where y = 0

0 = \frac{3}{4} x -5

5 = \frac{3}{4} x

x = 6.67

Hope it helps! (:

m_a_m_a [10]3 years ago
4 0
3x-4y-8=12

first combine like terms

3x-4y=12+8

then isolate on variable

3x=20+4y

now divide by three to find x

x=20/3+4/3 x=8

to find y plug in x to the original equation

3(8)-4y-8=12

24-4y=20

-4y=20-24

-4y=-4

y=1
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Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make sals.
Grace [21]

The number of batches of salsa that can be made = x = 6 batches

The number of bat  tomato sauce that can be made = y = 3 batches

Step-by-step explanation:

We are given the system of equations:

x+5y=21\\x+y=9

where variable x represents the number of batches of salsa that can be made and y represents the number of bat  tomato sauce that can be made.

We need to solve the systems to find the values of x and y.

Let:

x+5y=21\,\,\,eq(1)\\x+y=9\,\,\,eq(2)

Subtract both equations:

x+5y=21\\x+y=9\\-\,\,\,-\,\,\,\,\,\,-\\------\\4y=12\\y=\frac{12}{4}\\y=3

So, value of y=3

Putting value of y in eq(2) and finding value of x:

x+y=9\\x+3=9\\x=9-3\\x=6

So, value of x=6

The number of batches of salsa that can be made = x = 6 batches

The number of bat  tomato sauce that can be made = y = 3 batches

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

6 0
3 years ago
Read 2 more answers
Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Mandarinka [93]

Answer:

The general rule is a_n = -2 - 5(n-1)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

a_{n} = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

a_n = a_m + (n-m)d

a3 = -12 and a8 = -37

First we find the common difference. So

a_n = a_m + (n-m)d

a_8 = a_3 + (8-3)d

-37 = -12 + 5d

5d = -25

d = -\frac{25}{5}

d = -5

So

a_n = a_1 - 5(n-1)

Finding the first term:

a_n = a_1 - 5(n-1)

Since a_3 = -12

a_n = a_1 - 5(n-1)

a_3 = a_1 - 5(3-1)

a_1 = a_3 + 10 = -12 + 10 = -2

So the general rule is:

a_n = a_1 - 5(n-1)

a_n = -2 - 5(n-1)

6 0
3 years ago
Which of the following best describes the expression 7(y + 5)?
Afina-wow [57]
I dont know what you're asking, the property? That is distributive, and the answer of the expression is 7y+35
7 0
3 years ago
4 - t = 3(t-1) - 5<br> A 3<br> B 6<br> C no solution<br> D Identity
Ket [755]

Answer:

A

Step-by-step explanation:

Given

4 - t = 3(t - 1) - 5 ← distribute and simplify right side

4 - t = 3t - 3 - 5

4 - t = 3t - 8 ( subtract 3t from both sides )

4 - 4t = - 8 ( subtract 4 from both sides )

- 4t = - 12 ( divide both sides by - 4 )

t = 3

7 0
3 years ago
Over a 3.5 year period, 27.5 inches of snow fell in Jackson City. What was the average yearly snowfall in Jackson Cit
Ilya [14]
27.5 / 3.5 = 7.86; The average yearly snowfall was 7.86 inches.
7 0
2 years ago
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