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Valentin [98]
3 years ago
12

Last year the 6th grade had 350 students. This year the number Increased 36%. How many students are in this year's 6th-grade cla

ss
Mathematics
1 answer:
kupik [55]3 years ago
7 0

Answer:

476 Students

Step-by-step explanation:

36% of 350 = 126 Students

350 + 126 = 476 students

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WOULD YOU RATHER...
8090 [49]

Answer:

0.015 km/s

Step-by-step explanation:

40 km/hr

0.015 km/s

0.015 ÷ (1/3600)

0.015 × 3600

= 54 km/hr

7 0
3 years ago
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Write the equation of the line that passes through the points (0,-5) and (4,3)
Anettt [7]

Answer:

Step-by-step explanation:

Gradient = y2-y1 all over x2-x1

G = 3-(-5) all over 4-0

Therefore your answer = 1/2

6 0
2 years ago
A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

b. \frac{dA}{dt}= -11.25 \frac{mg}{h}

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
3x+y=5 , 2x-2y=22 solve the system of equations by the addition method
IgorLugansk [536]

<span><em />
3x+y=5</span>

<span /><span>2x-2y=22 ...............2(x-y)=22 ⇒ x-y=11</span><span><em /></span>

<span><em>3x+y=5</em></span>

<span /><span><em><u>x-y=11                   </u> </em>(+)</span>

<span />3x+x+y-y=11+5

<span>4x=16  /:4</span>

<span /><em>x=4</em>

x-y=11

4-y=11

-y=7 /*(-1)

<em>y=-7</em>


<span><em></em></span>

5 0
3 years ago
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Solve this system of linear equations. Separate
AleksAgata [21]
  • 7x=-63-11y-(1)
  • 8x=93+11y--(2)

Adding both

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Putting in second one

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5 0
2 years ago
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