Abdul's average speed is 30 mph in heavy traffic, and his average speed is 50 mph in light traffic. If he was in heavy traffic for 1 hour and light traffic for 2 hours, how far did Abdul travel?

Answer:

y+8=16(x-8)

Step-by-step explanation:

y-y1=m(x-x1) is the formula

Just substitute from the first pair then you should get the answer.

Answer: P = 0.5 *(12)^3 = 864 kW

Step-by-step explanation:

We calculate the power as follows:

P=C*v^3,

where C = constant and v is the velocity,

lets find the C first, from the given conditions

P = C*v^3

500= C(10)^3

C=500/(10)^3 = 0.5

If a turbine generates 500 kW in a 10 m/s wind, then 864 KW power does it generate in a 12 m/s wind

Power is the amount of energy transferred or converted per unit time.

Given,

The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v

P = kv³

Where k is the proportionality constant.

If a turbine generates 500kW in a 10m/s wind, we need to find how much power does it generate in 12m/s wind

first solve the proportionality constant k

500 = k (10³)

k = 500 / 10³= 0.5

so when v = 12 m/s

P = 0.5(12³)

p = 864 kW

Hence 864 kW  is the power generated by a 12 m/s wind.

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Answer:

B. 32%

Step-by-step explanation:

16/50 = 32% lol

goodluck!

Answer:

Randy is 48 years old

Sandy is 12 years old

Todd is 27 years old

Step-by-step explanation:

Given

Represent their ages with the first letters of their names:

[tex]R + S + T = 87[/tex]

[tex]R = 4 * S[/tex]

[tex]T = 15 + S[/tex]

Required

Determine their individual ages

We'll solve the above equations using substitution method of simultaneous equations

Substitute 15 + S for T and 4 * S for R in [tex]R + S + T = 87[/tex]

This gives:

[tex]4 * S + S + 15 + S = 87[/tex]

[tex]4 S + S + 15 + S = 87[/tex]

Collect Like Terms

[tex]4 S + S + S = 87 - 15[/tex]

[tex]6S = 72[/tex]

Divide through by 6

[tex]S = 72/6[/tex]

[tex]S = 12[/tex]

This implies that Sandy is 12 years old

Substitute 12 for S in [tex]R = 4 * S[/tex] and  [tex]T = 15 + S[/tex]

[tex]R = 4 * 12[/tex]

[tex]R = 48[/tex]

[tex]T = 15 + 12[/tex]

[tex]T = 27[/tex]

This implies that Randy is 48 years old and Todd is 27

Answer:

Step-by-step explanation:

7 + (-5)= 2

Answer:

D. 81

Step-by-step explanation:

This answer was confirmed by two people in the comments.

What I did to get this answer was subtract 162 by 81 so the math that I did was to make sure I got the same number as the answers.

[tex]162-81=81[/tex] ☑

[tex]162-72=90[/tex] ☒

[tex]162-162=0[/tex] ☒

[tex]162-324=-162[/tex] ☒

So, therefore the answer is [tex]81[/tex].

I hope this helped you. :)

Answer:

1,820 trout

Step-by-step explanation:

Set up a proportion where x is the number of trout in the lake:

[tex]\frac{7}{25}[/tex] = [tex]\frac{x}{6,500}[/tex]

Cross multiply and solve for x:

25x = 45,500

x = 1820

So, you could expect 1,820 trout to be in the lake.

Answer:

y = 50 is answers and it is alternate angle

Answer:

B

Step-by-step explanation:

The two angles are the same

Answer:

11

Step-by-step explanation:

15-4=11

|11|=11

Answer:

Step-by-step explanation:

x=120/3

x=40

Answer:

40

Step-by-step explanation:

if m||n then 3x must be equal to 120°

120° = 3x divide both sides by 3

40 = x

Answer:

Probably the last one but the numbers are kind of jumbled up so...

Step-by-step explanation:

Have a good day

Answer:

[tex](9,-1)[/tex]

Step-by-step explanation:

Follow the same guidelines from the other answer. Hope this helps!!

Work Shown:

[tex]f(x) = -2(0.8)^x\\\\f(0) = -2(0.8)^0\\\\f(0) = -2(1)\\\\f(0) = -2\\\\[/tex]

In the third step, I used the idea that [tex]x^0 = 1[/tex] where x is any nonzero number.

Answer:

27/5 = 5,4

Step-by-step explanation:

5 2/5 = 27/5 = 5,4

Answer:

280 cm2

Step-by-step explanation:

1)find the area of square

A=LW

=10×10

=100

2) find the area of triangle

A=B×H÷2

=10×9/2

=45

Coz,there are 4 triangle we multiple by 4

=45×4

=180

3)find the total surface area by adding the two

=100+180

=280cm2

Answer:

SA = [280] cm 2

Step-by-step explanation:

For Lateral Area the formula is 4(1/2 10 x 9)

But the 1/2 makes it 4(1/2 5 x 9)

Then you multiply 5 x 9 = 45 then multiply 45 by the 4 and get 180

Then for Surface Area you put in (180 + 100) = 280

You get the 100 by multiplying 2 of the base numbers together.

Answer: 240 days.

Step-by-step explanation:

The number of days that it'll will be until all the computers run a virus scan at the same time again will be calculated by solving for the lowest common multiples of the numbers. This will be:

Multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240.

Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240

Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240

Here, we can see that the least common multiple is 240. Therefore, all the computers will scan at the same time in 240 days.

Answer:

it looks like it would be 69% like the one below it

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

because i aint never seen two pretty best friends, its always one of em gotta be ugly

Answer:

Step-by-step explanation:

the answer would be 11/12

Answer:

A = $4360.515918 which rounded to the nearest penny is $4360.52

Step-by-step explanation:

Answer:

21/8 or 2 5/8

Step-by-step explanation:

9/4 + 3/8

The least common denominator being 8 so you would add the numerators.

18+3/8

Which would be:

21/8 or, as a mixed fraction, 2 5/8

Answer:

The equation =3 is equivalent to = 0 +3. From this form, we know the line has slope =0.

Step-by-step explanation:

Answer:

ax + by = c

Step-by-step explanation:

The standard form of the line is

ax + by = c; where a, b and c are numbers

Also a and b are coefficients are not zero so there are x and y terms.

I hope this helps ;)

Answer:

-13

Step-by-step explanation:

-13 since it's going down in price

Answer:

Step-by-step explanation:

? + 86 + 90 + 84 + 36 = 360

? = 360 - 86 - 90 - 84 - 36

? = 64

therefore, the missing angle = 64°

Answer:

g times 15 if it's a algebraic question

g=6

Refer to the explanation for the process.

Explanation:

Solve:

9 g=15 10

Cross multiply each denominator by the opposite numerator.

9×10=15×g

Simplify.

90=15g

Divide both sides by 15

90 15=g

Simplify.

6=g

Switch sides.

g=6

Hope this helps!

Answer:

x=2/15

Step-by-step explanation:

1/5+x+2/3=1

3/15+x+10/15=15/15

13/15+x=15/15

x=2/15

Answer:

the answer to your question

Answer:

$2,323.2

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value = ?

P = present value = 2,000

r = interest rate = 5% = 0.05

n = number of periods = 12

t = time = 3 years

A = P(1 + r/n)^nt

= 2,000(1 + 0.05/12)^12*3

= 2,000( 1 + 0.00417)^36

= 2,000( 1.00417)^36

= 2,000(1.1616)

= 2,323.2

A = $2,323.2

The table with a constant of proportionality of –3 are

A. 'x' is 1 2 3. 'y' is -3,-6,-9

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

y = k × x

where,

k = constant of proportionality

A. 'x' is 1 2 3. 'y' is -3,-6,-9

y = k × x

-3 = k × 1

- 3 = k

k = -3

B. 'x' is 1, 2, 3. 'y' is -1, -2, 0

y = k × x

-1 = k × 1

-1 = k

k = -1

C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

y = k × x

-3 = k × 1

-3 = k

k = -3

D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

y = k × x

-3 = k × 1

-3 = k

k = -3

or

y = k × x

-3/2 = k × 2

-3/ 2 = 2k

k = -3/2 ÷ 2

k = -3/2 × 1/2

k = -3

Therefore, the table with a constant of proportionality of –3 are

A. 'x' is 1 2 3. 'y' is -3,-6,-9

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

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