Let x be the number of 5 points question.
Let y be the number of 2 points question.
Total number of questions is 38
x + y = 38
Total points is 100
5x + 2y = 100
x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)
From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8
There are 8 5-point questions and 30 2-point questions
The answer is D, 2,520 cm³.
Answer:
x = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
5(x + 4) = -2(-4 - x) + 3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 5x + 20 = 8 + 2x + 3
- Combine like terms: 5x + 20 = 2x + 11
- Subtract 2x on both sides: 3x + 20 = 11
- Subtract 20 on both sides: 3x = -9
- Divide 3 on both sides: x = -3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 5(-3 + 4) = -2(-4 - -3) + 3
- Simplify: 5(-3 + 4) = -2(-4 + 3) + 3
- Add: 5(1) = -2(-1) + 3
- Multiply: 5 = 2 + 3
- Add: 5 = 5
Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.
And we have our final answer!
Answer:
1/3
Step-by-step explanation:
For each term multiply each number to see what value you get, only 1/3 makes sense
18 x 1/3 =6
6 x 1/3= 2
Answer:
DESPERATE PLEASE ANSWER FAST
(please show picture)
Use the data to create a scatter plot.
Savings Account Balance for a Given Year
PointMove
UndoRedoReset
Time (years)Savings account balance ($)
1
2
3
4
5
6
7
8
9
10
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
2400
2600
2800
3000
3200
3400
3600
3800
4000
4200
0
Time (years)
Savings account balance ($)
1
1300
2
2500
3
3600
4
4000
5
2200
6
1800
7
3200
8
9000
Step-by-step explanation:
DESPERATE PLEASE ANSWER FAST
(please show picture)
Use the data to create a scatter plot.
Savings Account Balance for a Given Year
PointMove
UndoRedoReset
Time (years)Savings account balance ($)
1
2
3
4
5
6
7
8
9
10
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
2400
2600
2800
3000
3200
3400
3600
3800
4000
4200
0
Time (years)
Savings account balance ($)
1
1300
2
2500
3
3600
4
4000
5
2200
6
1800
7
3200
8
9000
