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snow_lady [41]
3 years ago
14

Members of a community center are planning a field trip to the zoo. More than 50 people will go on the trip. Ten people are prov

iding their own transportation. The rest of the people will ride in k vans. Each van can carry 5 people. Which inequality can be used to show the situation? 5k+10>50 ​ 5(k+10)>50 ​ k−15>50 ​ k+15>50 ​
Mathematics
2 answers:
slava [35]3 years ago
6 0
The answer is 5(k+10)>50

Mumz [18]3 years ago
6 0

the answer is       5k+10>50

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Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and x represent the number of gifts. Wr
olga nikolaevna [1]

Answer:

y = 9x

Step-by-step explanation:

You can set up linear equations like this: y = mx + b, where m is the slope or rate, and b is the y-intercept.

9 would be the slope, since he has to pay $9 per gift.

The y-intercept is when x = 0, but if he doesn't buy any gifts, he won't have to pay anything, so b = 0. You don't have to include it since it's 0.

So, it's just y = 9x

Hope that helps! :D

3 0
3 years ago
Read 2 more answers
4.
zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.

Required

Prove

To start with; we open the bracket on the left hand side

(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)

(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)

(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x

(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x

Reorder

(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x

From trigonometry;

sin^2x + cos^2x = 1

So;

(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x

becomes

(sin x - cos x)^2 = 1 - 2sinx cos x

Also from trigonometry;

sec^2x - tan^2x = 1

So,  

(sin x - cos x)^2 = 1 - 2sinx cos x

becomes

(sin x - cos x)^2 = sec^2x - tan^2x  - 2sinx cos x

Proved

3 0
3 years ago
A lottery has 60 numbers. To win the jackpot one needs to match all 7 numbers that are drawn by the machine. Is this a PERMUTATI
Vadim26 [7]

Answer: Hence, our required probability is \dfrac{1}{386206920}

Step-by-step explanation:

Since we have given that

Numbers in a lottery = 60

Numbers to win the jackpot = 7 numbers

We need to find the probability to hit the jackpot:

So, our required probability is given by

P=\dfrac{^7C_7}{^{60}C_7}\\\\P=\dfrac{1}{386206920}

This is a combination problem as we need to select 7 numbers irrespective of any arrangements.

Hence, our required probability is [tex]\dfrac{1}{386206920}[/tex

4 0
3 years ago
What is the slope of the line that contains the points (3, 4) and (1, 2)?
Kitty [74]
Slope = (y2 - y1) / (x2 - x1)
= (2 - 4 ) / (1 - 3 )
= -2/-2
= 1

Answer is A. 1
5 0
3 years ago
Round 715 to the nearest the ten
Mariana [72]
Here's a good rhyming rule to keep in mind.

Zero to four, you get no more.

Five to nine, move up one time.

With this rule you can see that there is a 5 at the end, therefor you should round up. Your number is 720.
8 0
3 years ago
Read 2 more answers
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