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earnstyle [38]
2 years ago
15

205 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as

failed. Find the number of students who passed, and the number of students who failed.
Mathematics
1 answer:
AlexFokin [52]2 years ago
3 0

Answer: 164 students passed and 41 students failed.

Step-by-step explanation:

Let the number of students be x

x students failed, but 4 times the failed students passed.

So 4x students passed and x students failed.

4x + x = 205

5x = 205

x = 205/5

x = 41

41 times 4 is 164 and 41 times 1 is 41.

So 164 students passed and 41 students failed

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Answer is

2

gradient=change in y/change in X

(10--2)/(4--2)=2

7 0
2 years ago
Need of helpp for my test​
katrin [286]

Answer:

-2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A manufacturing plant earned $80 per man-hour of labor when it opened. Each year, the plant earns an additional 5% per man-hour.
baherus [9]

A function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(\mathrm{t})=80 \times 1.05^{\mathrm{t}}

<h3><u>Solution:</u></h3>

Given that  

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.  

Amount earned by plant when it is opened = $80 per man-hour

As it is given that each year, the plants earns an additional of 5% per man hour

So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)

Amount earned by plant after two years is given as:

=(80 \times 1.05)+5 \% \text { of }(80 \times 1.05)=(80 \times 1.05)(1.05)=80 \times 1.052

Similarly Amount earned by plant after three years =80 \times 1.05^{t}

\begin{array}{l}{\Rightarrow \text { Amount earned by plant after } t \text { years }=80 \times 1.05^{t}} \\\\ {\Rightarrow \text { Required function } \mathrm{A}(t)=80 \times 1.05^{t}}\end{array}

Hence a function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(t)=80 \times 1.05^{t}

5 0
3 years ago
Write the equation of the line slope 2, through (3,1)
Arisa [49]

answer:

y = 2x - 5

work:

to write equations, we use the format y = mx + b.

m stands for the slope, and b stands for the y intercept.

this means that you should be able to enter the values for y and x and get a valid equation as a result.

in this equation, we are not given a y intercept value, but we do have a slope and x and y values, so we have to solve by substituting.

so, let's substitute in the values of y and x and the slope,

and solve for b, the y intercept.

1 = 2(3) + b (multiply 2 x 3)

1 = 6 + b (subtract 6 from both sides)

- 5 = b

b has a value of -5. let's place this into the equation.

y = 2x - 5.

the slope is 2, and the y intercept is -5, let's plug in our y and x values to verify that this is true.

1 = 2(3) - 5

1 = 6 - 5

1 = 1

so, this equation is correct. hope this helps and have a great day!

6 0
2 years ago
Read 2 more answers
.<br><br>b) Lấy được ít nhất một quả cầu trắng
TEA [102]

Answer:

<h2>cant understand this language so sorry</h2>

Step-by-step explanation:

<h3>so sorry</h3>
8 0
2 years ago
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