MATHEMATICS HIGH SCHOOL

The number that rode in columns was 3 2/3 times the number that rode in rows. If 2200 rode in columns, how many rode in rows?

Answers

Answer 1

Answer:

Answer:

600

Step-by-step explanation:

Given parameters:

Number that rode in columns = $3(2)/(3)$ times the number that rode in rows.

2200 rode in columns

Unknown:

Number of people that rode in rows = ?

Solution:

Let the number of people that rode in columns = C

Let the number of people that rode in rows = R

C = $(11)/(3)$ R

Number of people that rode in rows = 2200;

2200 = $(11)/(3)$ R

11R = 2200 x 3

R = $(2200 x 3)/(11)$

R = 200 x 3

R = 600

Number of people that rode in rows = 600

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Need help with this question

Answers

a₁ = -8 This is the first term in an arithmetic sequence.
d = 3, the common difference

a(n) = a₁ + d(n-1)

a₇ = -8 + 3(7-1)
a₇ = -8 + 3(6)
a₇ = -8 + 18
a₇ = 10

To check:
a₁ = -8
a₂ = -8 + 3 = -5
a₃ = -5 + 3 = -2
a₄ = -2 + 3 = 1
a₅ = 1 + 3 = 4
a₆ = 4 + 3 = 7
a₇ = 7 + 3 = 10

Find the midpoint of a line segment with the given endpoints.(8,-3) (-8,1)

Answers

Answer:

(0,-1)

Step-by-step explanation:

the length of the hypotenuse of a 30-60-90 triangle is 22 meters find the length of the side opposite 30 degree angle

Answers

$This\ triangle\ is\ a\ half\ of\ equilateral\ triangle\ which\ sides\ are\ 22\ m.\n\ so:\nside\ opposite\ 30\ degree\ angle\ is\ height\ of\ this\ equilateral\ triangle:\nh= (a\sqrt3)/(2),\ where\ a=22\nh= (22\sqrt3)/(2)=11\sqrt3\n\nLength\ of\ the\ side\ opposite\ 30\ degrees\ is\ 11\sqrt3$

You have a limit of $300 that you can spend for a rental car on your vacation this summer. You have found a deal where you can rent a car for a daily rate of $30 plus a fee of $0.20 per mile driven. If you want to be able to keep the car for four days, how many miles can you drive?

Answers

From the problem
you can get the equation
4(30+0.20x) < 300

the 4 represents that it is within 4 days, the 30 is the daily fee, the 0.20 is the rate of per mile driven per day, and the 300 is how much money you have left to spend.

now we solve for x, first distribute the 4 into the parenthesis
120 + 0.80x < 300 then subtract 120 from both sides
-120 -120
and get 0.80x < 180 then divide both sides by 0.80
/0.80 /0.80
therefore x = 225
so you can drive 225 miles.

Lucy has a hemisphere shaped goldfish pond in her backyard. The pond has a circumference of 11.9 feet . The pond has a population density of 3.6 cubic feet of water for each goldfish. How many goldfish are in Lucy's pond ?

Answers

40.38 my answer is 40.38 or 40 goldfish

Around 40.38 - 40 goldfish is your answer.

A slide is 21 feet long. To get to the top of the slide, you use a vertical 9-foot high rung ladder. What is the distance, b, from the bottom of the slide to the bottom of the stairs? Round your answer to the nearest tenth.

Answers

its a right angled triangle. You have C and have B all you need to find is A. usually for a question like this you would use the Pythagorean theorem which is A2+B2=C2 but since we already have c we will use C2-B2=A2
Now we fill in the values. (21)2-(9)2=A2
441-81=360^2 so now with the 360^2 we have to squareroot it so the square root of 360 is 18.973f

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