Evaluate g(t) for the given values of t.

g(t)=|17-t|

A)g(11)=
B)g(12)=

Answer:

£152

Step-by-step explanation:

Solution:

Find out how much is 1/3 of 255 coins:

255 x 1/3 = 85

Since you know how many 50p and £1 coins there are, the remaining of the coins after the 50p and £1 get deducted from the total coins.

255 - 85 - 110 = 60

There are 60 20p coins, 85 £1 coins and 110 50p coins.

Find out the total value by calculating them all altogether.

60 x 20p = 1200

85 x 100p which is £1 = 8500

110 x 50p = 5500

I did them separately so that it wouldn't be so confusing.

Convert them into £, then after that add them up.

£12 + £85 + £55 = £152

Answer:

i beleive its A

Step-by-step explanation:

i say its A due to the phrase "no more" is accurate to showing that the 200 is truly "More than or equal too"

Answer: 0.8

Step-by-step explanation:

The formula to find area of a parallelogram is A = bh. This means that area = base x height. You can manipulate this formula to what height equals instead of the area. To do that, you can divide b on both sides. This would make the equation h = A/b.

Now that you know how to find what height equals, first find the base of the parallelogram. To find b, multiply 6 x 5. 6 x 5 = 30. This means that your base is 30.

Take the information given to you in the problem about the area. The area is given to you. We know that the area is 24 squared units. Remember what the equation to find height is. It's h = A/b. Substitute the variables for your numbers. h = 24/30.

24/30 = 0.8.

This means that your height is 0.8. This would be 8/10 in fraction form, but you can simplify it further to 4/5.

Hope it helps. Good luck!

Answer:

x=2.5, y=6.5

Step-by-step explanation:

Y=x+4  ,y=3x-1

x+4=3x-1

2x=5

x=2.5

y=x+4=2.5+4=6.5

Answer:

30% of the swimmers won a ribbion

and 70% didnt

Step-by-step explanation:

Answer:

the sum of interior triangle is 180

so,

92+33+X=180

125x=180

X=180-125

=55

Answer: 3 is the oppos ire of -3 and it takes 6 steps to get to it

Step-by-step explanation:

Answer:

"Which number is the opposite of -3?": The number that is opposite of (-3) is 3

"Starting at -3, how many steps does it take to get to the opposite of -3?": It takes 6 steps to get to the opposite of -3.

" What does this number of steps represent?": This number represents the distance between -3 and 3.

Step-by-step explanation:

Answer:

24 minutes

Step-by-step explanation:

You must divide the total gallons by the rate of how many are draining.

This will give you the answer 24.

Answer:

24 minutes

Step-by-step explanation:

5 times 24=120

so since every 5 gallons it takes a minute it would be 24 min

Answer:

26880 ways

Step-by-step explanation:

Given

[tex]Crust = 4[/tex]

[tex]Toppings = 10[/tex]

[tex]Cheese = 8[/tex]

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in [tex]^4C_1[/tex] ways

For the toppings:

3 can be selected from 10 in [tex]^{10}C_3[/tex] ways

For the cheeses:

3 can be selected from 8 in [tex]^{8}C_3[/tex] ways

Total number of selection is:

[tex]Total = ^4C_1 * ^{10}C_3 * ^{8}C_3[/tex]

Apply combination formula:

[tex]Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}[/tex]

[tex]Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}[/tex]

[tex]Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}[/tex]

[tex]Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}[/tex]

[tex]Total = 4 * \frac{720}{6} * \frac{336}{6}[/tex]

[tex]Total = 4 * 120* 56[/tex]

[tex]Total = 26880[/tex]

Hence, there are 26880 ways

Answer:

about 30 km. If it wasn't estimated, it would be 30.8994048 km.

Answer:

12

Step-by-step explanation:

Answer:3c + 18d brainless pls

Step-by-step explanation:First, eliminate the parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

3

(

5

c

+

4

d

)

+

6

(

d

−

2

c

)

⇒

(

3

⋅

5

c

)

+

(

3

⋅

4

d

)

+

(

6

⋅

d

)

−

(

6

⋅

2

c

)

⇒

15

c

+

12

d

+

6

d

−

12

c

Next, group like terms:

15

c

−

12

c

+

12

d

+

6

d

Now, combine like terms:

(

15

−

12

)

c

+

(

12

+

6

)

d

3

c

+

18

d,

Given:

[tex]\to 5c + d = c+ 4d[/tex]

To find:

c:d=?

Solution:

\to 5c + d = c+ 4d

simulating the identical terms:

[tex]\to 5c -c = 4d-d\\\\\to 4c = 3d\\\\\to \frac{c}{d} = \frac{3}{4}\\\\\therefore\\\to c:d= 3:4[/tex]

so, the ratio is 3:4

Learn more about the ratio:

brainly.com/question/4534527

Answer:

Step-by-step explanation:

The answer is 1.25

Answer:

[tex]t=7.85 years[/tex]

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

[tex]\frac{dP}{dt}=aP[/tex]

Where a is proportional constant, P the population variable, and t the time.

[tex]\frac{dP}{P}=adt[/tex]

Integrating each side of the equation.

[tex]\int \frac{dP}{P}=\int adt[/tex]

[tex]ln(P)=at+c[/tex]

[tex]P=e^{at+c}[/tex]

[tex]P=e^{c}e^{at}=Ce^{at}[/tex]

To find C we need to use the initial condiction, it means evaluae P at t=0.

[tex]P_{0}=Ce^{0}=C[/tex]

[tex]P=P_{0}e^{at}[/tex]

Now, we use the sentence  the population has doubled in 5 years.

[tex]2P_{0}=P_{0}e^{a5}[/tex]

We can find "a" in this condition.

[tex]2=e^{a5}[/tex]

[tex]ln(2)=a5[/tex]

[tex]a=\frac{ln(2)}{5}[/tex]

[tex]a=0.14[/tex]

Finally, let's find how long will it take to triple.

[tex]3P_{0}=P_{0}e^{0.14t}[/tex]

[tex]3=e^{0.14t}[/tex]

[tex]t=\frac{ln(3)}{0.14}[/tex]

[tex]t=7.85 years[/tex]

I hope it helps you!

Answer:

6.5% of 6000$=6000$x6.5/100=390$

amount of interest = 390$x2=780$

Compound Interest

n=1, 2

Po=6000$

Pn=Po(1+r)^n

Pn=6000$1+6.5%)^n

Pn=6000$(1.065)^n

P1=6000$(1.065)^1=6390$

P2=6000$(1.065)^2=6805.35

Answer:

0.9b+12=0.8b-9

0.9b+0.8b= -9-9

1.7b=-21

=-12.352

Answer:

31

Step-by-step explanation:

3x + 25 + 2x = 180

  3x + 2x = 180 - 25

  5x = 155

  x = 31

Answer:

Step-by-step explanation:

Perimeter=a+b+c=6+8+10=24 m

Area=1/2*a*b=1/2*6*8=24 m^2

Answer:

2 and 3

1 also has a y-intercept of 3, but it is negative, so I don't know if that one will count

Step-by-step explanation:

Substitute X for 0 and solve from there.

3(0) - 2y = -6

0 - 2y = -6

y = 3

y - 3 = -2(0)

y - 3 = 0

y = 3

Answer:

Step-by-step explanation:

Para meter of rhombus is equals 40 m

So one side of rhombus is equal to 10 m

Now

Area of rhombus is equals to half into base into altitude

1/2*10*altitude=84

Altitude = 16.8m

Answer:

=28

Step-by-step explanation:

Have a great day :)

Answer:

32 - 4 = 28

Step-by-step explanation:

just replace the plus sign since there is a negative

Answer:

R u that lazy to not type it in a calculator

Step-by-step explanation:

But it is 66.4262295082

Pls make me buy brainiest

Answer:

A

Step-by-step explanation:

Let's say the surface of the pool is 0, and the diver 4 meters above represents +4, and the diver 5 meters below represents -5. Which number is closer to 0? It's 4! 4 is 4 numbers away from 0, meanwhile 5 is 5 numbers away from zero, 4 is closer to 0!

Answer: The area of the shape is 90 ft.

Step-by-step explanation:

Draw a line so the shape looks like a triangle and small rectangle.

First, we have to find the area of the rectangle.

Area of rectangle: length x width

The rectangle has a length of 6 ft and a width of 3 ft.

Area of rectangle: 6 x 3 = 18 ft

Now to find the area of the triangle.

Area of triangle: 1/2 x base x height

The triangle's base: 15 - 3 = 12

The triangle's height: 6 + 6 = 12

Area of the triangle: 1/2 x 12 x 12

= 1/2 x 144 = 72ft

To find the area of the entire shape you have to add the area of the rectangle and triangle together.

Area of shape = Area of rectangle + Area of triangle

A of shape = 18 ft + 72 ft

The area of the shape is 90 ft.

Hope that helped!

Answer:

Mantle

Step-by-step explanation:

I think its mantle

Answer: 3

Distribute

Subtract the numbers

Simplify

Answer:

$72.00

Step-by-step explanation:

Answer:

$72

Step-by-step explanation:

I hope this helps!

Answer:

1. 11-y=-9

2. 41+w=26

3. r÷6=-4

4. 18(p)=54 or 18×p=54

5. Yes V= -52

6. Yes Z= -3

7. No would equal 43

8. No T would equal positive 6.

9. B

10. C

11. D

12. A