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11111nata11111 [884]
2 years ago
8

A textbook store sold a combined total of 294 physics and psychology textbooks in a week. The number of psychology textbooks sol

d
was 42 less than the number of physics textbooks sold. How many textbooks of each type were sold?
Mathematics
1 answer:
miv72 [106K]2 years ago
5 0

Answer:

105 psychology textbooks. 189 physics textbooks.

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Pls help<br><br> Given: △ABC, CM⊥ AB, BC = 5, AB = 7<br> CA = 4 sqrt(2)<br> Find: CM
babymother [125]

Answer:

The general plan is to find BM and from that CM. You need 2 equations to do that.

Step One

Set up the two equations.

(7 - BM)^2 + CM^2 = (4*sqrt(2) ) ^ 2 = 32

BM^2 + CM^2 = 5^2 = 25

Step Two

Subtract the two equations.

(7 - BM)^2 + CM^2  = 32

BM^2 + CM^2         = 25

(7 - BM)^2 - BM^2 = 7               (3)

Step three

Expand the left side of the new equation labeled (3)

49 - 14BM + BM^2 - BM^2 = 7    

Step 4

Simplify And Solve

49 - 14BM = 7              Subtract 49 from both sides.

-49 - 14BM = 7 - 49

- 14BM = - 42              Divide by - 14

BM = -42 / - 14

BM = 3

Step  Five

Find CM

CM^2 + BM^2 = 5^2

CM^2 + 3^2 = 5^2        Subtract 3^2 from both sides.

CM^2 = 25 - 9            

CM^2 = 16                     Take the square root of both sides.        

sqrt(CM^2) = sqrt(16)

CM = 4    < Answer

Step-by-step explanation:

6 0
2 years ago
When it is for a fish tank holds 15 gallons of water, Jordan is using a one pint container to fill the fish tank, how Jordan nee
Fantom [35]

Answer:

120 pints

Step-by-step explanation:

1 gallon = 8 pints

15 gallons x 8 is 120 pints

8 0
3 years ago
13<br> y <br> 3<br> Х<br> 4<br> What is y?
KonstantinChe [14]

Answer:

The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). In this example, the value "5" is the Y Coordinate. Also called "Ordinate"i think

Step-by-step explanation:

6 0
3 years ago
The polygons are similar. Solve for x.<br><br> scale factor from A to B = 3:5
Sonbull [250]

Answer:

9

Step-by-step explanation:

if scale factor is 3/5, then

(x+12):35=3:5, ⇒

\frac{x+12}{35} =\frac{3}{5}; x=21-12; x=9

3 0
2 years ago
Convert 59 degrees in Fahrenheit to Celsius temperature using the formula F=9/5c+32.
nataly862011 [7]

Answer:

15° C.

Step-by-step explanation:

To do this, we will need to plug in and solve.

59 = 9/5c + 32

Isolate the variable by subtracting 32 by both sides:

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Divide both sides by 9/5, giving you:

15° C.

3 0
3 years ago
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