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olchik [2.2K]
3 years ago
13

On a school trip, there are 4 buses to carry 96 students. How many students are there in each bus? A. 12 B. 16 C. 18 D. 20 E. 24

Mathematics
2 answers:
MAVERICK [17]3 years ago
8 0
Hey kiddo!
So what we want to do for this problem is divide.

96 divided by 4 = 24
Therefore the answer is: E. 24

Hope this helps!
~Brooke
Vsevolod [243]3 years ago
4 0

This is a division problem.

96/4 = 24

Answer: E. 24

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Question 8: Find the equation of the straight line that:
Scorpion4ik [409]

Answer:

y=4x+6

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)

<u>1) Plug the gradient into the equation (b)</u>

y=mx+b

We're given that the gradient of the line is 4. Plug this into y=mx+b as m:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (1,10) as (x,y) and solve for b

10=4(1)+b\\10=4+b

Subtract 4 from both sides to isolate b

10-4=4+b-4\\6=b

Therefore, the y-intercept of the line is 6. Plug this back into y=4x+b as b:

y=4x+6

I hope this helps!

8 0
2 years ago
Read 2 more answers
Write the standard form of an equation of an ellipse subject to the given conditions.
irina [24]

Answer:

The answer is below

Step-by-step explanation:

The standard form of the equation of an ellipse with major axis on the y axis is given as:

\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1

Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²

Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37

Also, the foci is at (0,5) and (0, -5), therefore c = 5

Using c² = a² - b²:

5² = a² - 37²

a² = 37² + 5² = 1369 + 25

a² = 1394

Therefore the equation of the ellipse is:

\frac{x^2}{1369}+ \frac{y^2}{1394} =1

6 0
2 years ago
A 5 pound bag of dog food costs $8.65 . what is the unit price?
inessss [21]
So it would be $8.65/ 5lbs. And divide the top and the bottom by 5 and you get $1.73/ 1 lbs. I hope this helps!
4 0
3 years ago
Read 2 more answers
Look at the pic~ find the area of the figure please ​
Blababa [14]

Answer:

164 m^2

Step-by-step explanation:

14*11=154

5*2=10

10+154=164

8 0
3 years ago
Which expression is equivalent to (sin x + 1)(sin x − 1)? A. cos2x B. -cos2x C. cos2x + 1 D. cos2x − 1 E. -cos2x + 1
Semenov [28]

ANSWER

B.

- \cos^{2} x

EXPLANATION

The given expression is

(sin x + 1)(sin x − 1)

Note that:

(x + 1)(x - 1) =  {x}^{2}  - 1

This implies that,

( \sin \: x + 1)( \sin \: x - 1)  =   \sin^{2} x - 1

We can factor -1 on the right hand side to get,

( \sin \: x + 1)( \sin \: x - 1)  =    - (1 - \sin^{2} x )

Note that from the Pythagorean Identity

1 - \sin^{2} x = \cos^{2} x

We apply this identity to obtain:

( \sin \: x + 1)( \sin \: x - 1)  = - \cos^{2} x

The correct choice is B

4 0
3 years ago
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