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3 years ago

HURRY PLEASE! 20 pts

Mathematics

1 answer:

ss7ja [257]3 years ago

5 0

Answer:

1,207.6 m

Step-by-step explanation:

Combine the two semicircles on both sides.

Circumference is pi times diameter.

Circumference is 3.14 times 35 which is 109.9

Add 96 two times to that to get 301.9, one lap around the track.

Multiply by 4, 4 laps, to get 1207.6

You're welcome

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For two positive integers a and b define the function h(a,b) as the greatest common factor (g.c.f) of a,

Step2247 [10]

H times a equals ha times b

4 0

3 years ago

A city bus collected $780 in fares on one day.

Brilliant_brown [7]

Answer:

450 people paid the discounted fare and 750 people paid the regular fare.

Step-by-step explanation:

let r be regular fares paid and d be discounted fares paid

Total fares = 0.8r + 0.4d = 780

Since 1200 people paid the fares,

r + d = 1200 = Total people

Rearrange this formula:

r = 1200 - d

Substitute r into Total Fares formula

Total fares = 0.8r + 0.4d

780 = 0.8(1200-d) + 0.4d

780 = 960 - 0.8d + 0.4d

780 = 960 - 0.4d

0.4d = 180

d = 450

Sub d=450 into Total people formula

r + d = 1200 = Total people

r + 450 = 1200

r = 1200-450

r = 750

450 people paid the discounted fare and 750 people paid the regular fare.

3 0

3 years ago

Read 2 more answers

2x^3-3x^2-11x+6 divide by x-3

Alexxx [7]

Answer: $2x^2+3x-2$

Step-by-step explanation:

You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.

Do $\frac{2x^3}{x}=2x^2$ . Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.

$2x^2*(x-3)=2x^3 -6x^2\\(2x^3 -3x^2-11x+6)-(2x^3-6x^2) = 3x^2-11x+6$

Now do $\frac{3x^2}{x} =3x$ . Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:

$3x(x-3)=3x^2-9x\\(3x^2-11x+6)-(3x^2-9x)=-2x+6$

Your final step is to do $\frac{-2x}{x} =-2$ . Write this -2 next to your other two parts

Multiply -2 by (x - 3) to get:

$-2(x-3)=-2x+6\\(-2x+6)-(-2x+6)=0$

Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:

$2x^2+3x-2$ times

4 0

3 years ago

Read 2 more answers

20 thousandths = ? Hundredths

Korolek [52]

20 thousands would be 200 hundreds

5 0

3 years ago

Read 2 more answers

The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$

babymother [125]

You're given

x + y + z = 165

7x = n

n = y - 9

n = 9 + z

and you want to find xyz.

Solve the last three equations for x, y, and z :

7x = n → x = n/7

n = y - 9 → y = n + 9

n = 9 + z → z = n - 9

Substitute x, y, and z into the first equation and solve for n :

n/7 + (n + 9) + (n - 9) = 165

n/7 + 2n = 165

n + 14n = 1155

15n = 1155

n = 77

Now solve for x, y, and z :

x = 77/7 = 11

y = 77 + 9 = 86

z = 77 - 9 = 68

Then the product is

xyz = 11 • 86 • 68 = 64,328

6 0

3 years ago