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svp [43]
3 years ago
13

To what unit rate does 96/12 simplify?A.8/1B.9/1C.10/1D.12/1​

Mathematics
2 answers:
ikadub [295]3 years ago
8 0

Answer:

A. 8/1

Step-by-step explanation:

96/12=8

12/12=1

Therefore, the answer is 8/1. Have a good day!

Ivahew [28]3 years ago
3 0

Answer:

A

Step-by-step explanation:

96 divide by 12 is 8 and 12 divided by 12 is 1

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If there is an 80% chance of rain and a 10% chance of wind and rain, what is the probability that it is windy, given that it is
dalvyx [7]
13% (apex) is the correct answer 
4 0
4 years ago
Which graph correctly solves the system of equations below? y = −x2 + x + 7 y = x2 + 3x + 7
antiseptic1488 [7]

Answer:

(-1.703, 2.396)

(1.37, 6.493)

Step-by-step explanation:

We can easily solve this question by using a plotting tool or any graphing calculator,

The solution to the system of equation is given by the intersection points between the graphs of

y1 = −x^2 + x + 7

y2 = x^2 + 3x + 7

Please, see attached picture below.

The solutions are:

(-1.703, 2.396)

(1.37, 6.493)

5 0
3 years ago
El lado de un cuadrado de su area es de 432m2
kari74 [83]

Answer:

Todos los lados de un cuadrado son iguales. Hay 4 lados en un cuadrado. Entonces, para encontrar un lado, debemos dividir el área por 4.

432/4 = 108, Un lado del cuadrado mide 108 metros.

4 0
3 years ago
The hourly wage for an employee is $11.5 per hour. The employee also earns 80 cents for each item they manufacture during the wo
Dovator [93]

Answer:

x = 11.5h+.8q

Step-by-step explanation:

x = the total salary made in a day

11.5 represents the 11.5 he earns per hour. You then add this to the 80 cents (.8) he makes per product (q)

6 0
3 years ago
A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr
Rufina [12.5K]
The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\
Logarithm both sides of the equation:
ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
A = 120 000 000 * e ^{0.0083*17}  \\ 
A = 120 000 000 * e^{0.1411}   \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000

Thus, the population will be 138 million in 2014

8 0
3 years ago
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