Answer:
21
Step-by-step explanation:
I shall change the pictures to letters
a + a + b = 40 --(1)
b - c = 7 --(2)
c + a = 19 --(3)
a - c + b = ?
From (1):
2a + b = 40
b = 40 - 2a --(4)
From (2):
b = 7 + c --(5)
Sub (4) into (5):
40 - 2a = 7 + c
c = 33 - 2a --(6)
Sub (6) into (3):
33 - 2a + a = 19
a = 14
Sub a = 14 into (4) and (6):
b = 40 - 2(14) = 12
c = 33 - 2(14) = 5
therefore, a - c + b = 14 - 5 + 12 = 21
Topic: simultaneous equations
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Answer:
The least common multiple of 8 and 12 is 24
Explanation:
Find and list the multiples each number until the first common multiple is found.
This is the lowest common multiple .
Multiples of 8
8, 16, <u>24</u>, 32,40
Multiples of 12
12,<u>2</u><u>4</u>, 36,48
Therefore,
LCM of 8 and 12 is 24
Answer:
independent = study time
dependent = grade
Step-by-step explanation:
grade is dependent upon amount of time you study (which you control independently)
She has $12,488 in savings
Step-by-step explanation:
Ariana plans to use $260 less than three-fourths of savings to buy a car.
If the purchase price of the car is 9,340, we need to find how much
she has in savings
To find the savings
- Assume that she has $x in savings
- Write an equation of x
- Solve the equation to find x
∵ She has $x in savings
∵ She plans to use $260 less than three-fourths of savings
- Three-fourths means
and less than means subtract
∴ She plans to use
x - 26
∵ The purchase price of the car is 9,340
- Equate the expression of x by 9,340
∴
x - 26 = 9,340
Now let us solve the equation
∵
x - 26 = 9,340
- Add 26 to both sides
∴
x = 9,366
- Divide both sides by
∴ x = $12,488
She has $12,488 in savings
Learn more:
You can learn more about word problems in brainly.com/question/3950386
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Answer:
Step-by-step explanation:
We can use the quadratic formula to get the answer to this
Quadratic Formula: -b +- √b² - 4ac/2a
Once we input A, B, and C into this, and solve any multiplication, we get
x = -1 +- √1 + 20/2
We divide by 2a, which 2a = 2.
-0.5 +- 10.5.
these are the following values of x:
x = 10
x = 11
Pretty sure this is it, hope it helps!