Answer:
3/2 times as far
Step-by-step explanation:
Mai's distance divided by Noah's distance will give you your answer.
6.75 divided by 4.5 is 1.5 which is 3/2 as a decimal.
Answer:
- A. (x + 16) + (6x − 4) = 180
Step-by-step explanation:
Inscribed quadrilateral has opposite angles supplementary.
<u>So</u>
or
<u>Since</u>
- m∠A = x + 16,
- m∠B = x,
- m∠C = 6x - 4,
- m∠D = 2x + 16
we can use either pair of angle measures to work out the value of x and then find the value of each angle.
<u>We can verify the first option is the only correct one.</u>
- m∠A + m∠C = 180°
- (x + 16) + (6x − 4) = 180
Y=4x+1 is the answer to your question
Answer:
Step-by-step explanation:
x= money earned per hour working as a cashier.
y=money earned per hour working delivering newspapers.
We propose the following system of equations:
5x + 4y =77
6x + 3y=78
We solve the system by reduction method:
-6*(5x+4y=77) ⇒ -30x-24y=-462
5*(6x+3y=78)⇒ 30x+15y=390
---------------------------
-9y=-72 ⇒ y=-72 /-9=8
Now, we get the value of "x" replacing the value of "y" by "8" in any part of the equation above.
5x + 4(8)=77
5x+32=77
5x=77-32
5x=45
x=45/5=9
therefore;
money earned per hour working as a cashier= $9/ hour
money earned per hour working delivering newspapers=$8/hour
Write an equation system based on the problem
"Agatha is five times older than her son, Bob" could be written as:
a = 5b.......(first equation)
"Three years ago, she was nine times older" could be written as:
a - 3 = 9(b - 3)......(second equation)
Solve the equation system
To find the value of b, substitute 5b as a to the second equation
a - 3 = 9(b - 3)
5b - 3 = 9(b - 3)
5b - 3 = 9b - 27
5b - 9b = -27 + 3
-4b = -24
b = -24/-4
b = 6
Her son, Bob, is 6 years old
To find Agatha's age, substitute the value of b to the first equation
a = 5b
a = 5 × 6
a = 30
Agatha is 30 years old
