Answer:
$12
Step-by-step explanation:
Boom, science.
For this case, the first thing we must do is define variables.
We have then:
x: Maggie's age
y: Age of Maggie's brother
We write the system of equations that models the problem.
We have then:
We solve the system of equations.
For this, we use substitution:
From here, we clear the value of x:
Answer:
Maggie is 9 years old
Maggie's age is 9
One variable linear equation is an equation that has a variable and the exponent number is one.
Can be stated in the form:
or
ax + b = c,
where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
x, y = variable
Let Maggie's age = x
Maggie's brother = y,
In the statement of the task:
we translate this sentence into the equation
y = 2x-3 ... equation 1
we translate this sentence into the equation
x + y = 24 ...equation 2
Both of these equations are equations that have 2 variables, so the solution can be used in 3 ways:
the solution is the intersection point of the two equations / lines.
the solution is we change one variable into another variable form of an equation, then substitutes that variable in another equation
the solution is to eliminate one variable from the equation system.
to determine the variable x we eliminate the variable y first, or vice versa.
We use the second method: substitution
we substitute equation 1 into equation 2 :
So Maggie's age:
each of their ages
Three times b less than 100
6 = 4x + 9y solve for y
Keywords: variable, equation, substitution, elimination, graph, Maggie's age
b. What a delightful after-dinner show you have given us!
c. To our surprise, she began a little dance in front of us.
d. With a hop and a skip, the door opened, and a little girl came in.
Answer:
Debra can run 10 miles per hour
Step-by-step explanation:
2.5 times 4 = 10
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Explanation:
The smaller angles AOB and BOC combine to the largest angle AOC
By the angle addition postulate, we can say,
(angleAOB) + (angleBOC) = (angleAOC)
(3x+4) + (8x-28) = 108
11x-24 = 108
11x = 108+24 .... adding 24 to both sides
11x = 132
x = 132/11 .... dividing both sides by 11
x = 12
We can use this x value to find each angle
angle AOB = 3x+4 = 3*12+4 = 40 degrees
angle BOC = 8x-28 = 8*12-28 = 68 degrees
As a check,
(angleAOB)+(angleBOC) = (40)+(68) = 108
which matches with the measure of angle AOC. This confirms our answers.
Answer:
Step-by-step explanation: