1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Klio2033 [76]
3 years ago
11

The following proof shows an equivalent system of equations created from another system of equations. Fill in the missing reason

in the proof.
Statements Reasons
2x + 2y = 14
-x + y = 5
Given
2x + 2y = 14
-2x + 2y = 10
A.Multiplication Property of Equality
B.Addition Property of Equality
C.Division Property of Equality
D.Subtraction Property of Equality
​
Mathematics
2 answers:
Nookie1986 [14]3 years ago
8 0

Answer:

<h2>A.Multiplication Property of Equality</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}2x+2y=14\\-x+y=5&\text{\underline{multiply both sides by 2}}\end{array}\right\\\\\boxed{\underline{+\left\{\begin{array}{ccc}2x+2y=14\\-2x+2y=10\end{array}\right}}\qquad\text{add both sides of the equations}\\.\qquad\qquad4y=24\qquad\text{divide both sides by 4}\\.\qquad\qquad y=6\\\\\text{put the value of y to the second equation:}\\\\-x+6=5\qquad\text{subtract 6 from both sides}\\-x=-1\qquad\text{change the signs}\\x=1

pantera1 [17]3 years ago
4 0

Answer: Its Multiplication property of Equality

Step-by-step explanation: Just did the test

You might be interested in
(SHOW UR WORK) What is the result of 90.425 subtracted from 48.4?
Naddika [18.5K]

Answer

42.025

Step-by-step explanation:

8    

90.425

- 48.400

= 42.025

You substitute the 9 to an 8

Hope this helps ._.

5 0
2 years ago
Factor completely 9r^3-72r^2
PtichkaEL [24]

Answer:

9r²(r - 8)

Step-by-step explanation:

Step 1: Write expression

9r³ - 72r²

Step 2: Factor out 9

9(r³ - 8r²)

Step 3: Factor out r²

9r²(r - 8)

6 0
3 years ago
A spinner has five equal sections that are numbered 1 through 5.
ankoles [38]

Answer:

Step-by-step explanation:

X has a binomial distribution when the probability of X is the same for each spin.

When the spinner is spun four times, X is the number of times the spinner does not land on an odd number.

When the spinner is spun five times, X is the number of times the spinner lands on 1.

3 0
3 years ago
Read 2 more answers
What is the area of an equilateral triangle with apothem 3
Orlov [11]

Answer:

use formula of equilateral triangle = roots 3/4 a square.

6 0
4 years ago
The hospital in patient admission rate for employees of the ramsey
romanna [79]

The computation shows that the the hospital in-patient admission rate for the employees of the Prendergast Corporation is 104.5 admissions per 1000 employees.

<h3>How to calculate the value?</h3>

The in-patient admission rate for Ramsey Manufacturing company = 100 admissions per 1000 employees.

It is given that the in-patient rate of Prendergast will be 10% higher than Ramsey's.

So, in-patient rate of Prendergast:

= 100 + 10% of 100

= 110 admissions

Now, it is also given that out of total in-patients, 5% are for tonsillectomies (which are not in-patient).

So, in-patient admission rate for Prendergast:

= 110 - 5% of 110

= 110 - 5.5

= 104.5 admissions per 1000 employees

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

<u>Complete question:</u>

The hospital in-patient admission rate for employees of the Ramsey Manufacturing Company is 100 admissions per 1000 employees per year.

The Prendergast Corporation has older employees and is told that its hospital in-patient admission rate will be 10% higher than Ramsey’s. At the same time, however, all tonsillectomies will be done in the hospital’s outpatient department instead of requiring the patient to be admitted as an in-patient. Given that 5% of all in-patient admissions are for tonsillectomies, what is the hospital in-patient admission rate for the employees of the Prendergast Corporation?

A. 110.0 B. 115.0 C. 109.5 D. 100.0 E. 104.5 F. 117.0

7 0
2 years ago
Other questions:
  • In an acute scalene triangle, one angle is 20 degrees larger than another angle and the third angle is half the sum of the other
    15·1 answer
  • Consider today's stock listing for Enam Telecom, shown below. 52 wk High 52 wk Low Symbol Div. Close Net Change 122.86 64.77 ENM
    7·1 answer
  • Given: ∠1 and ∠2 are supplementary m∠1=112° Prove: m∠2=68°
    8·2 answers
  • Solve this equation<br> ×(2)-8×+7=0<br> Solve the equation
    5·2 answers
  • The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is
    6·1 answer
  • Pls help! (1/3)/4=(1/4)/x solve for x
    13·1 answer
  • Please Help Me!
    12·1 answer
  • Need help ASAP mid term . <br> - 60 points
    7·1 answer
  • Find the percent of the area under the density curve where xxx is more than 333.
    10·1 answer
  • he price of a used motorbike is 4975. Danny, a buys the motorbike for 3781. What is the discount percent given?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!