MATHEMATICS HIGH SCHOOL

We have 2 stacks or styrofoam cups one has 6cups and it's height is 15cm.The other stack has 12cups and Height is 23cm. How many cups are needed for a stack with the height of 50cm?

Answers

Answer 1

Answer:

Given

Number of stacks = 2

Stack 1 = 6 cups; h1 = 15cm

Stack 2 = 12 cups; h2 = 23cm

Let's first find the average:

$(H_1 - H_2)/( n_1 - n_2)$

$= (15-23)/(6-12)$

$= (-8)/(-6) = (4)/(3)$

With an average of 4/3, to obtain the number of cups needed to obtain a height of 50m, we have:

50 / (4/3)

= 50 * 3/4

= 150/4

= 37.5

From the answer, we can see that the number of cups is not really proportional to the height of the stack, because the average of stack one and stack 2 are different.

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What is 1,395 rounded to the nearest interer? 99

Answers

If you meant integer, then the correct answer is 1,395. An integer is a whole number, which means that the first integer place is the ones place. Since the number is 1,395, it is a whole number, so the digit in the tenths place, to the right of the ones place, is 0. Since 0 is less than one, we keep the ones place the same, so 1,395 remains 1,395.

Hope this helps!

You have been contracted to replace a countertop in a kitchen. You will get paid $1,000 to do the job. You can complete the job in three days working 8 hours a day. You will need to pay the cost of the materials, which is $525, with the $1,000 that you receive to do the job. How much will you be paid per hour for your time?

Answers

Answer:

$19.79 cents (rounded to the nearest cent)

Step-by-step explanation:

first subtract the amount needed for materials from your total pay

(1000 - 525 = 475)

take 475 and divide that among the hours you work.

475 / 24 = 19.7916666

round that number to the closest money value

19.79

Twenty-four blue socks and twenty-four red socks are lying in a drawer in a dark room. What is the minimum number of socks you need to pull out of the drawer so that you are sure to have at least two blue socks

Answers

Answer:

26 socks

Step-by-step explanation:

There are a total of 48 socks here. Let us assume you pulled out 24 socks at a go and all are red. Now, you would have exhausted the number of red socks here. You would be left with only blue socks which you can pull one after the other to give a total of 26 socks pulled out to have 2 blue socks at least.

How do you solve the system by substitution 6x+2y=-26
x-6y=21

Answers

$\begin{cases} 6x+2y=-26 \ \ / *3 \n x-6y=21 \end{cases}\n \n\begin{cases} 18x+6y=-78 \n x-6y=21 \end{cases}\n \n+ \---------\n19x= -57 \ \ /:19\n \nx=-(57)/(19)\n \nx=-3$

$x-6y=21\n \n -3-6y=21 \ \ | 3\n \n -3+3-6y=21+3\n \n-6y=24 \ \ /:(-6)\n \ny=-(24)/(6) \n \n y=-4\n \n\begin{cases} x=-3 \n y=-4 \end{cases}$

HELP pls will mark you the brainliest.