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kenny6666 [7]
3 years ago
14

The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High Sch

ool B both planned trips
there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Mathematics
1 answer:
-Dominant- [34]3 years ago
7 0
High school A had 15 people in each van and bus.
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Find the midpoint of the segment formed by the points D(8, 6) and E(4, 10).
bixtya [17]
D (8, 6)
E (4, 10)

x_{midpoint} =  \cfrac{x_D+x_E}{2} = \cfrac{8+4}{2}=6 \\  \\  y_{midpoint} =  \cfrac{y_D+y_E}{2} = \cfrac{6+10}{2}=8


Answer: B. (6, 8)
6 0
3 years ago
What is the answer to -3x+2=-7
ycow [4]

Answer:

x=3

Step-by-step explanation:

-3x=-7-2=-9

x=-9/-3=3

4 0
3 years ago
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Simplify 24 ÷ (-2)(3) + 7Simplify 24 ÷ (-2)(3) + 7
Mnenie [13.5K]

Solving the expression 24\div (-2)(3) + 7 we get -29

Step-by-step explanation:

We need to simplify 24\div (-2)(3) + 7

Solving:

24\div (-2)(3) + 7

Using DMAS rule

=24\div(-2)*(3)+ 7

=-12*3+ 7

=-36+7

=-29

So, solving the expression 24\div (-2)(3) + 7 we get -29

Keywords: Solving the expression

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4 years ago
Find the limit of the function by using direct substitution.
serg [7]

Answer:

Option a.

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

Step-by-step explanation:

You have the following limit:

\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}

The method of direct substitution consists of substituting the value of \frac{\pi}{2} in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing x=\frac{\pi}{2}

Therefore:

\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}

cos(\frac{\pi}{2})=0\\

By definition, any number raised to exponent 0 is equal to 1

So

\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\

\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1

Finally

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

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3 years ago
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Mars2501 [29]

Answer:

Step-by-step explanation:

I would say the answer is 6

6 + 6 than times by two is 24

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3 years ago
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