Answer:
Step-by-step explanation:
s=18, t=18 the s gives t x sweets
s=18-x, t=18+x, s eats 5 and t eats half
s=18-5-x, t=(18+x)/2
Reamining sweets is
R=s+t
R=18-5-x+(18+x)/2
R=13-x+(18+x)/2
R=(26-2x+18+x)/2
R=(44-x)/2
Answer:
Step-by-step explanation:
a). Let the number of spoons = x
And number of forks = y
Total number of spoons and forks bought by Perry = 10
x + y = 10 --------(1)
Cost of one spoon = $5
Cost of one fork = $3
Therefore, total cost of x spoons and y forks = $(5x + 3y)
5x + 3y = 42 -------(2)
b). Now we can convert these equations into the slope-intercept form.
x + y = 10 ⇒ y = -x + 10
Table for input output values,
x 2 4 6
y 8 6 4
5x + 3y = 42
3y = -5x + 42
y = 
x 0 3 6
y 14 9 4
Point of intersection of these lines will be (6, 4).
Answer:
x = -3
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do t one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
Isolate the x. First, add 9 and subtract 4x from both sides:
6x (-4x) - 9 (+9) = 4x (-4x) - 15 (+9)
6x - 4x = -15 + 9
Combine like terms:
6x - 4x = -15 + 9
2x = -6
Next, divide 2 from both sides of the equation:
(2x)/2 = (-6)/2
x = -6/2
x = -3
x = -3 is your answer.
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Important things to note:
- PEMDAS is the order of operation, and equals Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction.
- If there is an equal sign and the same variable on both sides, you are trying to isolate that variable.
- Remember to follow the division rule. If you are dividing two negative numbers, your answer will be positive. If you are multiplying two negative numbers, your answer will be positive. If you are dividing or multiplying one positive and one negative number, your answer will be negative.
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Answer:
69 feet.
Step-by-step explanation:
See the attached diagram.
AB is the height of the flagpole and DE is the height of Samantha.
Now, ∠ CEB = 68°
Now, AC = DE = 4.6 feet, and CE = AD = 26 feet {Given}
Then, 
⇒ CB = 26 tan 68 = 64.35 feet.
Now, height of the flagpole is AB = AC + CB = 4.6 + 64.35 = 68.95 feet ≈ 69 feet. (Answer) (Approximate}
Answer:
A.
Step-by-step explanation:
The graph shows that at month 0, Keith has 20 trucks. The next month, he has 30. The next month, 40. This shows an increase of 10 trucks per months.
Keith started with 20 and purchases 10 each month.
