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laiz [17]
3 years ago
14

What are the correct steps for solving the equation 9x^2=108? A. X^2= 99

Mathematics
1 answer:
Georgia [21]3 years ago
5 0

Answer:

x=sqrt of 12

Step-by-step explanation:

First, you divide by 9 on both sides:

x^2= 108/9

Then you solve that:

x^2 = 12

Then you find the root of both sides:

sqrt (x^2)= sqrt (12)

and you get:

x= sqrt of 12 which is about 3.46... OR 2√3

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A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail
sergey [27]

Answer:

Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

Step-by-step explanation:

Let's rule out the options given one by one.

Option 1: Mark’s method is wrong, because it is impossible to deliver mail to 1.2 houses in a minute. The carrier can only deliver to a whole number of houses.

This is not true, because 1.2 is a rate, it just means that the carrier can finish 1 house in a minute, and also have time to get started delivering to the second house. The total number of houses has to be a whole number, but the rate doesn't.

Option 2: Mark’s method is wrong, because it is impossible to deliver mail for 7.5 minutes. The carrier can only deliver mail for a whole number of minutes.

This option is also incorrect. Delivering mail for 7.5 minutes just means 7 minutes and 30 seconds, which is definitely possible.

Option 3: Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

This option is correct. 1.2 is the rate of which the carrier delivers mail.

Option 4: Mark’s method is correct, because it is possible to deliver mail for 7.5 minutes; 7.5 represents the unit rate of 7.5 minutes per house.

This option is also incorrect. Although it is possible to deliver mail for 7.5 minutes, it is not the unit rate, it is the total amount of time it would take.

4 0
3 years ago
Read 2 more answers
The table shows the race results of the men's college 400-meter hurdles. 400 M Hurdles Runner Time (seconds) Jumarcus 50.51 Keyu
GalinKa [24]

Answer:

Keyunta and Elijah

Step-by-step explanation:

Keyunta: 49.78, Elijah: 50.02

|Keyunta(time)-Elijah(time)| = 50.02-49.78 = 0.24

5 0
3 years ago
Two arcs of a circle are congruent if and only if their associated radii are
Drupady [299]

Answer:

False

Step-by-step explanation:

Two arcs are congruent if they have the same length and belong to the same circle or two congruent circles. if two central angles of a circle are congruent then they form congruent arcs.

6 0
3 years ago
Find the approximate perimeter of ABC plotted below.
maksim [4K]

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)}

AB = \sqrt{4 + 4}

AB = \sqrt{16}

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)}

BC = \sqrt{25 + 49}

BC = \sqrt{74}

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)}

AC = \sqrt{47 + 25}

AC = \sqrt{74}

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

8 0
3 years ago
A markup that is more than 300% can be represented by an original price of $100 and a final price of
Oxana [17]
Answer is a :
100 + 300% of 100  = 400
but the markup is more than 300%
ans : a)
3 0
4 years ago
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