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otez555 [7]
3 years ago
6

theo had a balance of -$4 in his savings account. After making a deposit, he has $25 in his account. What is the overall change

in his account?
Mathematics
1 answer:
Elanso [62]3 years ago
6 0
Theo's overall change is $21 because since they are different signs of adding integers, you subtract the absolute value of the greatest to the least and the higher absolute value u use the same sign as 
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The rectangle shown has a perimeter of 48 cm and the given area. Its length is 6 more than twice its width. Write and solve a sy
melamori03 [73]

Answer:

The length of the rectangle is 18 cm

The width of the rectangle is 6 cm

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

The perimeter of the rectangle is

P=2(x+y)

we have

P=48\ cm

so

48=2(x+y) ------> equation A

x=2y+6 ------> equation B

Substitute equation B in equation A and solve for y

48=2(2y+6+y)

48=2(3y+6)

48=6y+12

6y=48-12

y=36/6=6 cm

Find the value of x

x=2(6)+6=18 cm

The area of the rectangle is

A=xy

A=18*6

A=108 cm^2

4 0
3 years ago
-9y - 2 (2 - 7y) + 4
poizon [28]

Answer:

-9y-2(2-7y)+4 expand the brackets using-2

Step-by-step explanation:

-9y-4+14y+4

arrange the like terms

-9y+14y-4+4

=5y becoz -4+4=0

ans=5y

7 0
3 years ago
Read 2 more answers
Math, Stumped me once more
EastWind [94]

Answer:

B.Alternate\ Exterior\ Angles

Step-by-step explanation:

As\ the\ exterior\ angles\ lie\ on\ the\ opposite\ sides\ of\ the\ transversal,\\that\ cuts\ two\ parallel\ lines,\ the\ set\ of\ 'Alternate\ Exterior\ Angles'\ formed\\are\ equal.

4 0
3 years ago
Find the third side of a right triangle if the hypotenuse is 14 km and one side is 9 km
Galina-37 [17]
14^2 - 9^2 = a^2
Easy enough
14^2 = 196
9^2 = 81
196 - 81 = 115
The square root of 115 = 10.72


The third side is 10.72km
3 0
3 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
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