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3 years ago

7

There are 1200 students in a school. 1/5 of the students are majoring in science. Of the science majors 30% are biology majors.

Of the biology majors, 2/3 are marine Biology. how many students in the school are Marine Biology majors?

1 answer:

Trava [24]3 years ago

4 0

There are 48 students majoring in Marine Biology.

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The ideal width of a safety belt strap for a certain automobile is 5 cm. An actual width can vary by at most 0.35 cm. Write and

notsponge [240]

Answer:

$4.65\leq x\leq 5.35$

Step-by-step explanation:

Let the actual width of belt be x

we are given that the ideal width of safety belt strap is 5 cm

So, Difference between actual and ideal = (x-5)cm

We are also given that An actual width can vary by at most 0.35 cm.

So, The difference between actual and ideal width should be less than or equal to 0.35 cm

So, $|x-5|\leq 0.35$

We know

$x-5\leq 0.35$ and $x-5\geq -0.35$

$x\leq 0.35+5$ and $x\geq -0.35+5$

$x\leq 5.35$ and $x\geq 4.65$

So, $4.65\leq x\leq 5.35$

Hence the range of acceptable widths is $4.65\leq x\leq 5.35$

8 0

4 years ago

Peter and sai were buying presents. Their parents had given them each an allowance of $7 per week. Each of them saved their mone

Lady bird [3.3K]

They each have $42 because 7 times 6 is 42 and combined they have $84 because 42 + 42=84.

6 0

4 years ago

Read 2 more answers

What is the equation of the following line written in slope intercept form? (-5,-1)

solmaris [256]

Answer:

$\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the graph we have two points (-5, -1) and (-2, -3).

<em>Look at the picture</em>.

Calculate the slope:

$m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}$

Put it to the equation in slope-intercept form:

$y=-\dfrac{2}{3}x+b$

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:

$-1=-\dfrac{2}{3}(-5)+b$

$-1=\dfrac{10}{3}+b$ <em>subtract 10/3 from both sides</em>

$-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}$

Finally:

$y=-\dfrac{2}{3}x-\dfrac{13}{3}$

4 0

3 years ago

Tim spent $37.45 on groceries. On the way home, he wants to stop and pay cash for gas at $3.35 per gallon. If he started with $6

dalvyx [7]

Answer:

6.7

Step-by-step explanation:

60$-37.45=22.55

22.55/3.35=6.731

Which rounds to 6.7

5 0

3 years ago

In a class of 34 students, 19 of them are girls.

Colt1911 [192]

Answer:

55.9%

Step-by-step explanation:

To find the percent that are girls, take the number of girls over the total number of students

19/34

.558823529

To change to percent form, multiply by 100%

55.8823529%

To 1 decimal place

55.9%

5 0

3 years ago

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