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11111nata11111 [884]
3 years ago
13

Brian bought a few a total of 8 notebooks and 16 free pens. Find the unit rate.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

Answer: The unit rate of 8 notebooks and 16 free pens is, two pens to one notebook.

Step-by-step explanation: The answer is two pens to one notebook because for every one notebook brian get to every two pens would add up to eight notebooks and sixteen free pens all together.      Hope this helped!!! :)

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11. The completion of a chemical reaction is expressed by the equation y = 300 - 4x - XP, where y is
alina1380 [7]

Answer:

The reaction ca occur at 10 degree Celsius or -14 degree Celsius.                                          

Step-by-step explanation:

We are given the following in the question:

The completion of a chemical reaction is expressed by the equation

y = 300 - 4x -x^2

where y is  the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius  at which the reaction occurs.

We have to find the temperature at which the reaction occurs, if the completion time of reaction is 160 seconds.

Putting y = 160

160 = 300 - 4x -x^2\\x^2 + 4x  - 140 = 0\\x^2 + 14x -10x -140 = 0\\x(x+14)-10(x+14)=0\\(x-10)(x+14) = 0\\(x-10) =0, (x+14) =0\\x = 10, x = -14

Thus, the reaction ca occur at 10 degree Celsius or -14 degree Celsius.

5 0
3 years ago
In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JL=25 and JM=5, find KM.
d1i1m1o1n [39]

Answer:

KM = 15

Step-by-step explanation:

From the diagram, ΔJKL and ΔJKM are similar to each other because they share the same angle J and they are both right angle triangle. Therefore they are similar by AA property.

Since JL=25 and JM=5, JM = JL + JM= 25 + 5 = 30

Since ΔJKL and ΔJKM are similar to each other, therefore:

\frac{JK}{JL}=\frac{JM}{JK}\\  Substituting:\\\frac{JK}{30}=\frac{5}{JK}\\JK^2=150\\JK=\sqrt{150}\\ \\From\ hypotenuse:\\JK^2=JM^2+KM^2\\Substituting:\\(\sqrt{150} )^2=5^2+KM^2\\150=25+KM^2\\KM^2=150-25=125\\KM=\sqrt{125}\\ KM=15

4 0
4 years ago
Help with the length of the third side?
Bogdan [553]

Answer:

C. c = 10

Step-by-step explanation:

You have to use the Pythagorean theorem:

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10

5 0
3 years ago
Read 2 more answers
A line passes through (-1, 7) and (2, 10).
marysya [2.9K]

Answer:

Y=x+8

Step-by-step explanation:

To find the gradient of the line u have to subtract the y intercepts and the x intercepts

10-7/2--1=3/3=1

Y-7/x--1=1

Y-7=x+1

Y=x+1+7

Y=x+8

4 0
3 years ago
Which value is equivalent to 30 + 9 divided by (6 - 3) A) 13 B)30 C(32 D)33
TEA [102]

Answer:

13

Step-by-step explanation:

30 plus 9 is 39

6 minus 3 is 3

39 divided by 3 is 13

4 0
3 years ago
Read 2 more answers
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