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Rina8888 [55]
4 years ago
9

Solve the following system:

Mathematics
1 answer:
lidiya [134]4 years ago
5 0

Answer:

(4, 7) (third answer choice)

Step-by-step explanation:

In the system

y = x + 3

3x + y = 19

the first equation already gives y in terms of x.  Thus we can substitute x + 3 for y in the second equation:

3x + (x + 3) = 19, which simplifies to:

4x = 16, yielding x = 4.  Substituting 4 for x in the first equation, we get:

y = (4) + 3 = 7.

Thus, the solution is (4, 7) (third answer choice).

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Joni earns $300 per week. If she gets a 25% raise, how much more money will she earn each week?
alina1380 [7]

Answer:

\huge\boxed{$75}$75

Step-by-step explanation:

Joni currently earns $300 per week (given)

To find how much more she will earn each week, write an expression adding the original pay and the raise amount.

$300 + 25%

Find 25 as a decimal for multiplication

25%  = 25/100 = 0.25

Write an expression to represent the scenario

Expression example 1:

$300 + 0.25(300)

This expression adds the original pay and the new raise together.

Expression example 2:

$300 (1.25)

This expression already takes the new pay into account by finding 125% of the original pay.

Simplify both expressions

Expression 1:

$300 + 0.25(300)

$300 + $75

$375

Expression 2:

$300 (1.25)

$375

Both expressions represent the same scenario and therefore come out to the same result. Now that we know how much Joni made after the raise, we need to find how much more money she will earn in a week with the following equation.

New amount - original amount = amount increase

Substitute known values into the equation

$375 - $300

Simplify

$75

Joni will earn $75 more each week.

Let me know if you have any questions!

3 0
3 years ago
Read 2 more answers
A single, standard cube is tossed. What is the probability of getting a number greater than 3?
sertanlavr [38]

Answer:

1/2 or 50%

Step-by-step explanation:

numbers on a dice:
1, 2, 3, 4, 5, 6

4 5 and 6 are above 3
therefore, there are 3 numbers that are greater than 3 on a standard dice

3/6 can be simplified to  1/2 which is also the same as 50%.

7 0
3 years ago
the total of three cousins' ages 48. sam is half as old as jack and 4 years older than max. how old are the cousins
weeeeeb [17]
HEY THERE.

I THINK THE CORRECT ANSWER IS...SAM IS 20 
7 0
3 years ago
HELP ME PLZZ...Complete this proof...BRAINLY TO HELPFUL ANSWER
UNO [17]

Answer:

1. Angles 2, 3 and angles 1,3 are complementary angles(Given)

2. To prove :

Since Angles 2, 3 and angles 1,3 are complementary.

When angles are complementary, then the sum of the measures of angles is 90 degrees.

So,  and  (Definition of Complementary angles)

3.  (Substitution)

4.  (Subtraction property of equality)

Step-by-step explanation:

7 0
3 years ago
Help me ahh eeeeee<br> Image is problem/question​
Sphinxa [80]

Answer:

(4,1)

Step-by-step explanation:

point b is at (-1, 4) and the rule for 90 degree clockwise rotations is (y, -x) so it's (4, 1)

6 0
3 years ago
Read 2 more answers
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