cost of fuel is 1.45/L how much would 60L cost​

Answer:

No, Nadia is incorrect. She could multiply both the numerator and denominator of the unit fraction equivalent to 2/10 by 3 and arrive at the equivalent fraction 3/15.

*Credits to another Brainly question. The person who asked the question put this answer in the answer options.*

Answer:

b = -0.5

Step-by-step explanation:

7b -0.5 = 8b

7b - 0.5 + 0.5 = 8b +0.5

7b -8b = 8b + 0.5 -8b

-x = 0.5

x = -0.5

Answer:

x=28

Step-by-step explanation:

PEMDAS

parenthesis first...

5x-8+(6x-3x-24+6)=6x+30 *remember to distribute the negative sign*

5x-8+(3x-18)=6x+30

8x-26=6x+30

2x=56

x=28

Answer:

forty nine eight hundred in a decimal

= 49800.0

one ten thousands in a decimal​

= 10000.00

Step-by-step explanation:

forty nine eight hundred and one ten thousands in a decimal​

First of all.

Let's take forty nine eight hundred

Converting it to decimal

= 49800.0

forty nine eight hundred= 49800.0

For the second one

one ten thousands in a decimal​

Converting it to decimal

= 10000.00

one ten thousands in a decimal​

= 10000.00 in decimal

Answer:

1). Angle c is congruent to angle E

2) BC=FD

Answer:

Step-by-step explanation:

x+118 degrees =180 degrees

x +118 degrees-118degrees =180 degrees - 118 degrees

                                         x =62 degrees

All we need to do is, divide the tax cost by the total cost of the item.

32.80 / 410 = 0.08

Multiply to find the percentage.

0.08 * 100% = 8%

Therefore, the tax rate is 8%.

Best of Luck!

Answer:

a. f(-1)=12

b. f(2t)=16t²-6t+5

c. f(t-2)=4t²-19t+27

Step-by-step explanation:

For a, b, c, we are given an input. We plug that into f(x) to find our answers.

a.  f(-1)=12

f(-1)=4(-1)²-3(-1)+5

f(-1)=4+3+5

f(-1)=12

-------------------------------------------------------------------------------------------------------------

b. f(2t)=16t²-6t+5

f(2t)=4(2t)²-3(2t)+5

f(2t)=4(4t²)-6t+5

f(2t)=16t²-6t+5

-------------------------------------------------------------------------------------------------------------

c. f(t-2)=4t²-19t+27

f(t-2)=4(t-2)²-3(t-2)+5

f(t-2)=4(t²-4t+4)-3t+6+5

f(t-2)=4t²-16t+16-3t+6+5

f(t-2)=4t²-19t+27

Answer:

x = 19/3

Step-by-step explanation:

Solve for x:

30 x = 12 x + 22 + 23 (1 + 3)

Hint: | Evaluate 1 + 3.

1 + 3 = 4:

30 x = 12 x + 22 + 4 23

Hint: | Multiply 23 and 4 together.

23×4 = 92:

30 x = 12 x + 22 + 92

Hint: | Group like terms in 12 x + 22 + 92.

Grouping like terms, 12 x + 22 + 92 = 12 x + (92 + 22):

30 x = 12 x + (92 + 22)

Hint: | Evaluate 92 + 22.

92 + 22 = 114:

30 x = 12 x + 114

Hint: | Move terms with x to the left hand side.

Subtract 12 x from both sides:

30 x - 12 x = (12 x - 12 x) + 114

Hint: | Combine like terms in 30 x - 12 x.

30 x - 12 x = 18 x:

18 x = (12 x - 12 x) + 114

Hint: | Look for the difference of two identical terms.

12 x - 12 x = 0:

18 x = 114

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 18 x = 114 by 18:

(18 x)/18 = 114/18

Hint: | Any nonzero number divided by itself is one.

18/18 = 1:

x = 114/18

Hint: | Reduce 114/18 to lowest terms. Start by finding the GCD of 114 and 18.

The gcd of 114 and 18 is 6, so 114/18 = (6×19)/(6×3) = 6/6×19/3 = 19/3:

Answer: x = 19/3

Answer:

Step-by-step explanation:

Area of a circle = πr²

where

r is the radius of the circle

From the question

Area = 154cm²

To find the radius substitute this value into the above formula and solve for the radius

That's

154 = πr²

Divide both sides by π

We have

[tex] {r}^{2} = \frac{154}{\pi} [/tex]

Find the square root of both sides

Thats

[tex]r = \sqrt{ \frac{154}{\pi} } [/tex]

r = 7.0014086

We have the final answer as

radius = 7.0 cm

Hope this helps you

Answer:

Step-by-step explanation:

Follow PEDMAS

[tex]-2 - (-4)[/tex]

Follow rule : -(-a)= + a

[tex] - 2 + 4 \\ = 2[/tex]

Answer:2

Step-by-step explanation:

Answer:

Hey there!

For question 1:

C(11,5) = (11!)/(5!*(11-5)!)

C(11,5) = (11!)/(5!*6!)

C(11,5) = (11*10*9*8*7*6!)/(5!*6!)

C(11,5) = (55440)/(120)

C(11,5) = 462 ways

For question 2:

10!=10*9*8*7*...*2*1= 3628800 ways.

This can be a challenging and confusing topic, so let me know if you want a easier to understand explanation, I'm always here to give one :)

A number of ways to choose the players are 462 and The coach made a batting order is 3,268,800.

A permutation is an act of arranging the objects or elements in order.

1.  Rylan's basketball team has 11 players.

His coach chooses five starting players.

The number of different ways to choose the players.

[tex]\rm ^{11}C_{5} = \dfrac{11!}{5! (11-5)!} = 462[/tex]

2.  Sarah plays softball over the summer. If there are 10 players on the team.

The coach made a batting order that will be

[tex]10! = 10*9*8*7*6*5*4*3*2*1 = 3268800[/tex]

Thus, A number of ways to choose the players are 462 and The coach made a batting order is 3,268,800.

More about the permutation link is given below.

https://brainly.com/question/1216161

Answer:17

Step-by-step explanation:

Plug in 4 in the place of x and then add 1

[tex] &#128075 [/tex] Hello ! ☺️

Step-by-step explanation:

F(x)= x² +1

[tex] f(4) = 4 {}^{2} + 1 [/tex]

[tex] f(4)= 16+1 [/tex]

[tex]\boxed{\color{gold}{f(4) = 17}} [/tex]

[tex]<marquee direction="left" scrollamount="2" height="100" width="150">&#x1F498;Mynea04</marquee>[/tex]

Answer:

391, and 98

Step-by-step explanation:

Plug in 20 where t appears:

621 (0.5)^20/30 = 621 x 0.62996 = 391.205

Rounded to 391

Plug in 80 where t appears:

621 (0.5)^80/30 = 621 x  0.6667 = 97.8

Rounded to 98

Answer:

a. [tex] \boxed{ \bold{ \boxed{ \sf{width \: of \: rectangular \: field \: = 71 \: meter}}}}[/tex]

b. [tex] \boxed{ \bold{ \boxed{ \sf{length \: of \: rectangular \: painting \: = 85 \: cm}}}}[/tex]

Step-by-step explanation:

a. Given,

Perimeter of rectangular field ( P ) = 310 m

Length of the field ( L ) = 84 m

Width of the field ( W ) = ?

Finding the width of the rectangular field

[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}[/tex]

plug the values

⇒[tex] \sf{310 = 2(84 + w)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{310 = 168 + 2w}[/tex]

Swap the sides of the equation

⇒[tex] \sf{168 + 2w = 310}[/tex]

Move 168 to right hand side and change it's sign

⇒[tex] \sf{2w = 310 - 168}[/tex]

Subtract 168 from 310

⇒[tex] \sf{2w = 142}[/tex]

Divide both sides of the equation by 2

⇒[tex] \sf{ \frac{2w}{2} = \frac{142}{2} }[/tex]

Calculate

⇒[tex] \sf{w = 71 \: m}[/tex]

Width = 71 meters

------------------------------------------------------------

2. Given,

Area of rectangular painting ( A ) = 5185 cm²

Width of the painting ( w ) = 61 cm

Length of the painting ( l ) = ?

Finding length of the painting

[tex] \boxed{ \sf{area \: of \: rectangle = l \times w}}[/tex]

plug the values

⇒[tex] \sf{5185 = 61l}[/tex]

Swap the sides of the equation

⇒[tex] \sf{61 \: l \: = 5185}[/tex]

Divide both sides of the equation by 61

⇒[tex] \sf{ \frac{61 \: l}{61} = \frac{5185}{61} }[/tex]

Calculate

⇒[tex] \sf{l = 85}[/tex] cm

Length = 85 cm

Hope I helped!

Best regards !!!

Answer:

it's 77/16  and just say Anna's answer is wrong.

Answer:

The answer is 77/16, but you can go much dipper if you want. By just simplify 77/16, in 4×13/16. And the final result will be 4.8125. Please if you find it helpful give me a like and rate me.

Answer:

work is shown and pictured

Answer:

[tex]\huge \boxed{24x-48}[/tex]

Step-by-step explanation:

The expression is given:

[tex]8(3x-6)[/tex]

Applying the distributive property.

[tex]8(3x)+8(-6)[/tex]

Simplifying the expression.

[tex]24x+-48[/tex]

1. 3 times a number less than the sum of twice a number and 2.

Let x be the number

The sum of twice of x and 2 is 2x + 2.

3 times a number less than this is 2x + 2 - 3x = -x + 2.

2. 6 multiplied by the sum of a number and 8.

Let x be the number

The sum of a number and 8 is x + 8.

6 multiplied by this is 6(x+8) = 6x + 48

3. Jane saves $10 per week, so after w weeks, she saves 10w.

She already has $50, so she then has 50 + 10w.

Answer:

6

Step-by-step explanation:

H is proportionate to L, meaning that they can be represented as a ratio, [tex]\frac{h}{l}[/tex].

[tex]\frac{18}{60}[/tex]

If we know that L in the same ratio is 20, we can set these ratio's equal to each other to find H.

[tex]\frac{18}{60} = \frac{x}{20}[/tex].

To find x, we can cross multiply.

[tex]20\cdot18=360\\\\360\div60=6[/tex]

So [tex]x=6[/tex], meaning that when [tex]L=20[/tex], [tex]H=6[/tex].

Hope this helped!

Answer:

H varies directly as L.

H=KL.

18=K60.

K=18/60=0.3.

H=0.3L

when H=?,L=20. then.

H=0.3×20=6.

Answer:

x = 78

Step-by-step explanation:

57° + x° = 135° (alternate angles, // lines)

x = 135 - 57

= 78

I hope this helps :)

Answer:

f(x) = -5 if -5 <= x <= -3

f(x) = -2 if -3 < x <= 2

f(x) = 5 if 2 < x <= 6

Step-by-step explanation:

This is a simple piece wise function. Notice there are three lines or "solutions" for y-values over a range of x-values. Also notice there are filled in and not filled in circles. If the circle is not filled in, then it is not a solution. If it is, then it is a solution.

So for this, -5 is the solution if the range of x is from -5 through -3 inclusive since it has filled in circles.

-2 is a solution if the range of x is from -3 exclusive through 2 inclusive since at -3 it's open circle and 2 is filled.

5 is a solution if the range of x is from 2 exclusive through 6 inclusive since 2 it's open circle and 6 is filled.

To right that in notation simply

f(x) = -5 if -5 <= x <= -3

f(x) = -2 if -3 < x <= 2

f(x) = 5 if 2 < x <= 6

Cheers.

Answer:

- 0.9503 ; r is not statistically significant ; 0.9031

Step-by-step explanation:

Given the following :

Age (X) :

37

41

57

65

73

Bone density (Y)

355

345

340

315

310

Using the pearson R value calculator :

The r value of the data % - 0.9503.

This value depicts a very strong negative correlation between age and density of bone.

Using the pearson R calculator to obtain the P- value, the P value obtained is .01332 and hence the r is not significant at P < 0.01.

The Coefficient of determination R^2 can be obtained by getting the square value of R

R^2 = - 0.9503^2

R^2 = 0.90307009

R^2 = 0.9031

Answer:

Hello! Answer below! :)

Step-by-step explanation:

**Least to greatest** => [tex]1/10 < 3/10 < 0.9[/tex]

Look at the picture below!

By: RobloxYt

Answer:

30

2ab=2*5*3

30

hope it helps

Answer:

30

The equation re-written would be

2 · 5 · 2 = 30

Answer:

Step-by-step explanation:

Before we can calculate the standard deviation of the dataset, we need to get the mean value first.

mean = sum of the values/total number given

mean = -8+2+2+4+15/5

mean = 15/5

mean (xbar) = 3

For ungrouped data:

Variance S²=  ∑(xi-xbar)²/N-1

xi are the individual values

xbar is the mean value = 3

N is the total number in the dataset = 5

Variance = (-8-3)²+(2-3)²+(2-3)²+(4-3)²+(15-3)²/5-1

S² = (-11)²+(-1)²+(-1)²+(1)²+(12)²/4

S² = (121+1+1+1+144)/4

S² = 67

Hence the variance of data sample is 67.00

Standard deviation is the square root of the variance.

√S² = Standard deviation

√67 = Standard deviation

Standard deviation = 8.185

Standard deviation ≈ 8.19 (to 2 decimal place)

Answer:

The number of times Ivan and Adeline have the same number written on the board is 6.

Step-by-step explanation:

Consider the procedure as follows:

Consider the numbers on each half of the board:

          Ivan                            Adeline

             2                                     2

      2 × -2 = -4                        2 × 2 = 4

     -4 × -2 = 8                         4 × 2 = 8

      8 × -2 = -16                      8 × 2 = 16

   -16 × -2 = 32                      16 × 2 = 32

   32 × -2 = -64                    32 × 2 = 64

  -64 × -2 = 128                   64 × 2 = 128

  128 × -2 = -256               128 × 2 = 256

-256 × -2 = 512                256 × 2 = 512

  512 × -2 = -1024              512 × 2 = 1024

-1024 × -2 = 2048           1024 × 2 = 2048

Thus, the number of times Ivan and Adeline have the same number written on the board is 6.

Answer:

64.5J

Step-by-step explanation:

Q = ml

Q = (1/1000)kg X 64.5x10^3 J/kg

Q = 64.5 J

Answer:

I'm not positive but I think it's 64.5J

Step-by-step explanation:

Please, tell me if I'm wrong