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3 years ago

POSSIBLE POINTS

Mathematics

1 answer:

viktelen [127]3 years ago

4 0

Formula: XM= x1+x2/2 YM: y1+y2/2
end point: (14,-7)

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A car cost $18,000, which is 9/10 of the cost of an apartment. A motorcycle cost 1/5 of the cost of the apartment or 4/5 of the

blagie [28]

Answer:

$1500

Step-by-step explanation:

let the cost of the apartment = x

Hence the cost of the car is $\frac{9}{10} \times x$

also given the cost of car=18000

Hence

$18000= \frac{9x}{10}$

$x= \frac{18000 \times 10}{9}$

$x= 2000 \times 10$

$x= 20000$

Motorcylce cost = $\frac{1}{5}$ of Cost of apartment

= $\frac{1}{5} \times 20000$

= $4000$

Also Motorcylce cost= $\frac{4}{5}$ of the cost of 100 soccer balls.

Hence

4000= $\frac{4}{5}$ x (cost of 100 soccer balls.)

(cost of 100 soccer balls.)= $\frac{4000 \times 5}{4}$

(cost of 100 soccer balls.)= $1000 \times 5$

cost of 100 soccer balls= $5000$

cost of 1 soccer balls = $\frac{5000}{100}$

cost of 1 soccer balls = 50

cost of 30 soccer balls = 50 x 30

cost of 30 soccer balls = 1500

Hence the cost of 30 balls is $1500

4 0

4 years ago

A family went to a basketball game. They parked the car in a parking lot which charged $5. The cost per ticket was $24. Write an

Kobotan [32]

Answer:

7 people went to the basketball game.

Step-by-step explanation:

Giving the following information:

They parked the car in a parking lot which charged $5. The cost per ticket was $24.

<u>To calculate the number of people, we need to use the following formula:</u>

Total cost (y)= x*24 + 5

173 = 24x + 5

168/24 = x

7 = x

7 people went to the basketball game.

3 0

3 years ago

Kurt’s ending balance on April 30 was $331.36. Add or subtract the items in his check register, shown below, to find his balance

sasho [114]

Answer:

$293.11

Step-by-step explanation:

3 0

4 years ago

Find the length of the curve given by ~r(t) = 1 2 cos(t 2 )~i + 1 2 sin(t 2 ) ~j + 2 5 t 5/2 ~k between t = 0 and t = 1. Simplif

xxMikexx [17]

Answer:

The length of the curve is

L ≈ 0.59501

Step-by-step explanation:

The length of a curve on an interval a ≤ t ≤ b is given as

L = Integral from a to b of √[(x')² + (y' )² + (z')²]

Where x' = dx/dt

y' = dy/dt

z' = dz/dt

Given the function r(t) = (1/2)cos(t²)i + (1/2)sin(t²)j + (2/5)t^(5/2)

We can write

x = (1/2)cos(t²)

y = (1/2)sin(t²)

z = (2/5)t^(5/2)

x' = -tsin(t²)

y' = tcos(t²)

z' = t^(3/2)

(x')² + (y')² + (z')² = [-tsin(t²)]² + [tcos(t²)]² + [t^(3/2)]²

= t²(-sin²(t²) + cos²(t²) + 1 )

................................................

But cos²(t²) + sin²(t²) = 1

=> cos²(t²) = 1 - sin²(t²)

................................................

So, we have

(x')² + (y')² + (z')² = t²[2cos²(t²)]

√[(x')² + (y')² + (z')²] = √[2t²cos²(t²)]

= (√2)tcos(t²)

Now,

L = integral of (√2)tcos(t²) from 0 to 1

= (1/√2)sin(t²) from 0 to 1

= (1/√2)[sin(1) - sin(0)]

= (1/√2)sin(1)

≈ 0.59501

8 0

3 years ago

In the past month, Susan rented 4 video games and 3 DVDs. The rental price for each video game was $3.10. The rental price for e

Katen [24]

Answer:

$26. 20

Step-by-step explanation:

video games= 12.40

dvds= 13.80

total= $26.20

3 0

3 years ago