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Sloan [31]
2 years ago
12

Solve the system by substitution. Check your solution.

Mathematics
1 answer:
SashulF [63]2 years ago
6 0

The correct answer is option A. Which is the solution of the given equation will be (15,15).

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given equations are solved as:-

a - 1.2b = -3 or a = -3 + 1.2b

0.2a + 0.6b = 12

Put the value of a from equation 1 to the equation second.

0.2 ( -3 + 1.2 b)  + 0.6b = 12

-0.6 + 0.24b + 0.6b = 12

0.84b = 12  + 0.6

0.84 b = 12.06

b  = 15

Put the value of b in the first equation to find the value of a.

a = 1.2b - 3

a = (1.2 x 15) - 3

a = 15

Therefore the correct answer is option A. Which is the solution of the given equation will be (15,15).

To know more about equations follow

brainly.com/question/2972832

#SPJ1

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Consider the line -6x-2y=-4.
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Answer:

Parallel Slope: -3 Perpendicular Slope: 1/3

Step-by-step explanation:

First, solve for y to get the simplified equation for the line.

Once you solve, the equation should be y=-3x+2

Seeing this, we know that the slope of this line is -3. A line parallel will have the same slope as the original equation, and a line perpendicular will have a slope that is the opposite reciprocal.

Hope that helps!

3 0
3 years ago
Every 10 seconds, a printing company prints 50 books. How many books are printed in 1 minute?<br>​
Svetlanka [38]

Answer:

300 books

Step-by-step explanation:

10 x 6 = 1 min

50  x 6 = 300

8 0
3 years ago
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Y² - 11y + 21.25 = 0
Elodia [21]

Answer:

y=17/2 y=5/2

Step-by-step explanation:

...................

7 0
3 years ago
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Is 6.56556555 a rational or irrational number
lord [1]

Answer:

yes

Step-by-step explanation:

if it is a terminating decimal(a decimal that ends) it will be rational

3 0
4 years ago
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if Lydia buys 1/2 pound of the Breakfast Tea and 2 pounds of the Dark Roast coffee, how many 1- pound bags of Pumpkin Spice coff
const2013 [10]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Lydia is at a coffee shop and knows  she can spend no more than $65

before tax. She sees this price list in  the coffee shop.

Dark Roast Coffee    $7.50

Pumpkin Spice Coffee   $10.50

Breakfast Tea   $23.50

if Lydia buys 1/2 pound of the Breakfast Tea and 2 pounds of the Dark Roast coffee, how many 1- pound bags of Pumpkin Spice coffee can she buy?

Given Information:

Shopping Budge = $65

Price of   Dark Roast Coffee = $7.50

Price of Pumpkin Spice Coffee  = $10.50

Price of  Breakfast Tea  = $23.50

Amount of Breakfast Tea required = 1/2 pound

Amount of Dark Roast coffee required = 2 pounds

Required Information:

How many 1-pound  Pumpkin Spice Coffee can she buy = ?

Answer:

n = 3 bags of 1-pound Pumpkin Spice Coffee

Step-by-step explanation:

We are given that the amount of Breakfast Tea required is 1/2 pound so the cost of Breakfast Tea is

Cost of Breakfast Tea = 1/2*23.50 = $11.75

We are also given that the amount of Dark Roast coffee required is 2 pounds so the cost of Dark Roast coffee is

Cost of Dark Roast coffee = 2*7.50

Cost of Dark Roast coffee = $15

We know that total Lydia's total budget is $65

11.75 + 15 + 10.50x = 65

Where x represents the amount of Pumpkin Spice coffee required

10.50x = 65 - 11.75 - 15

10.50x = 38.75

x = 3.64 pounds

That means Lydia can buy 3.64 pounds of Pumpkin Spice coffee.

Now assuming that the Pumpkin Spice coffee is sold only in 1-pound bags then the required number of bags that Lydia can buy is

n = 3.64 pound/1-pound

n = 3.64

Since bags cannot be in fraction so

n = 3 bags

Note: we can not round off to 4 bags since that would surpass the given budged.

7 0
3 years ago
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