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MrRissso [65]
3 years ago
11

Paco's age divided by 3 is equal to 4. Let p represent Paco's age and write an equation to model the situation. Then solve the e

quation to find Paco's age.
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
4 0
An equation could be: p/3=4
To solve this equation: p/3*3/1=4*3/1
                                   : p=12
                                   : Paco is 12 years old--you are using what is called "Inverse Operation"!!!
(otherwise you could multiply 3*4 to get 12 by reversing operations)
I hope this helped you!
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6(v+2) - 7v = 6 + 5v​
slava [35]

Answer:

v = 1

Step-by-step explanation:

6(v+2) - 7v = 6 + 5v

open Parentheses

6*v=6v

6*2=12

New equation:

6v + 12 - 7v = 6 + 5v

simplify

12 - v = 6 + 5v

match like terms

6 = 6v

solve

1 = v

4 0
3 years ago
Read 2 more answers
a triangle has area 49.5 cm^2. if the base of the triangle is 9 cm, what is the height of the triangle
Anika [276]
Area of a triangle = (height * base ) / 2

height = (Area * 2) / base
height = (49.5 * 2) / 9
height = 99 / 9
height = 10 cm²
3 0
3 years ago
In a triangle , the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 100 m
madam [21]

Answer:

The three unknown angles X, Y , and Z are:

X = 40, Y = 20, and Z = 120

Step-by-step explanation:

Let's name X the measure of the first angle, Y the measure of the second one, and Z that of the third one.

Then we can create the following equations:

X = 2 Y

Z = 100 + Y

and

X + Y + Z = 180

So we use the first equation and the second one to substitute for the variable X and Z in the thrid equation:

2 Y + Y + (100 + Y) = 180

4 Y + 100 = 180

4 Y = 80

Y = 80/4 = 20

Then X = 40, Y = 20, and Z = 120

7 0
3 years ago
What is the minimum number of clients the travel agent should survey? Note that z=1.96 for a 95% confidence interval.
slega [8]

Answer:

121

Step-by-step explanation:

Given data as per the question

Standard deviation = \sigma = 840

Margin of error = E = 150

Confidence level = c = 95%

For 95% confidence, z = 1.96

based on the above information, the minimum number of clients surveyed by the travel agent is

n = (\frac{z\times \sigma}{E})^2

=  (\frac{1.96\times 840}{150})^2

= 120.47

= 121

hence, the 121 number of clients to be surveyed

Therefore we applied the above formula to determine the minimum number of clients

4 0
3 years ago
A set of bivariate data was used to create a least-squares regression line. Which of the following is minimized by the line? The
Akimi4 [234]

Answer:

The sum of the squared residuals

Step-by-step explanation:

If you sum the residuals, you would get 0

if you sum of the absolute values of the residuals you wouldn't be doing "least-squares regression"

The influence of outliers D The slope is another metric that has nothing to do in creating the regression line

8 0
3 years ago
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