A car is traveling at a rate of 54 kilometers per hour. What is the car's rate in kilometers per minute?
How many kilometers will the car travel in 15 minutes? Do not round your answers.

Answer:

6.6

Step-by-step explanation:

Answer:

d + 24 = 55

Step-by-step explanation:

hope this helps have a great day

Answer: Midpoint = (11.5, 14.5)

Concept:

Here, we need to know the idea of the midpoint formula.

[tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]

Solve:

Given information

(x₁. y₁) = (2, 3)

(x₂, y₂) = (11, 16)

Given expression

[tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]

Substitute values into the expression

[tex]Midpoint=(\frac{2+11}{2}, \frac{3+16}{2} )[/tex]

Simplify the numerator by addition

[tex]Midpoint=(\frac{13}{2}, \frac{19}{2} )[/tex]

Simplify by division

[tex]\boxed{Midpoint=(11.5, 14.5 )}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Hey there! I'm happy to help!

30% is the same thing as 0.3 because 0.3 is 30% of 1. If you multiply something by 1, it will just stay the same, so you need that percent of 1.

To convert a decimal to a percent, you move the decimal to the left two spaces.

Now, we simply multiply this by 930.

0.3×930=279

So, Kendra will receive a bonus of $279.

Have a wonderful day and keep on learning! :D

Answer:

g(5) = -3

Step-by-step explanation:

Hi there!

[tex]g(x)=-x+2[/tex]

To find g(5), replace x with 5:

[tex]g(5)=-5+2\\g(5)=-3[/tex]

I hope this helps!

Answer:

g(5) = -3

Step-by-step explanation:

given:

[tex]g(x) = -x + 2[/tex]

find:

[tex]g(5)[/tex]

replace the x with 5

~~~~~~~~~~~~

➡️ [tex] g(5) = -5 + 2[/tex]

➡️ [tex] g(5) = -3 [/tex]

Answer:

100(10t-x)

Step-by-step explanation:

factor 100 out from the expression

Answer:

I don't see anything but Perimeter is Length + Width × 2

Answer:

55°

Step-by-step explanation:

Since two of the sides are the same length, that means ∠A and ∠B are the same.

All angles of a triangle add up to 180°

180 - 70 = 110

To find ∠A, we just divide 110 by 2

110 ÷ 2 = 55

Both ∠A and ∠B are 55°

Answer:

|x + 2|

Step-by-step explanation:

Translating to the left and right has the number on the inside with the variable. Adding goes left and subtracting goes right.

(if you want an explanation on why it's opposite like that then just comment)

Answer:

2.02 yards per second

Step-by-step explanation:

Distance/time= Average speed or speed

50yard/ 24.76sec=  2.01938 yards per second ~ 2.02 yards per second

Answer:

B

Step-by-step explanation:

t=4x+c

Since we are looking for x,

t-c=4x

Divide through by the coefficient of x which is 4

4x/4=t-c/4

Therefore, x=t-c/4

Answer:

8x - 4x + 12 - 6x - 15 - 6

Combine like terms

-2x - 9

If your equation is equal to zero then continue down.

-2x - 9 = 0

-2x = 9

x = -9/2

  = -4  1/2

Explanation:

The expression r/6 is the quotient of r and 6. The quotient is the result of a division problem. For example, the quotient of 100 and 25 is 4 because 100/25 = 4.

We'll then raise r/6 to the 3rd power to get the final answer (r/6)^3

We could rewrite it in its equivalent form (r/6)^3 = (r^3)/(6^3) = (r^3)/216, but the answer in bold is sufficient in my opinion.

Answer:

4 f(x)

Step-by-step explanation:

step by step explainantion is in picture below

Answer:

Step-by-step explanation:

The ratio of boys to girls in the band is 5:6 and there are a total of 121 people.

We can call each bit of the ratio 'parts'.

So, there are a total of 5+6=11 parts in total, and there are a total of 121 people.

Therefore, each part of the ratio is equal to 121 ÷ 11 = 11.

Since there are 5 parts assigned to the number of boys in the band, then the total number of boys in the band is equal to 11 × 5, which is equal to 55 boys.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{9 + x + 1 + 2x}[/tex]

[tex]\huge\text{= 9 + 1x + 1 + 2x}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\huge\text{= (9 + 1) + (1x + 2x)}[/tex]

[tex]\huge\text{= 10 + 3x or 3x + 10}[/tex]

[tex]\huge\text{Answer: \textsf{3x + 10}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex] 1)-\sqrt{2.25} = - \sqrt{225 \times {10}^{ - 2} } \\ = -\sqrt{225} \times \sqrt{ {10}^{ - 2} } \\ =- 15 \times {10}^{ - 1} =- 1.5 = -\frac{3}{2} \\ 2) -\frac{3}{2} = -1.5 \\ thank \: you[/tex]

Answer:

Q.1. x=8-5

x=3

Q.2. -3x=16-7

-3x=9

x=-9/3

x=-6

Q.3. 3p=6*7

3p=42

p=42/3

p=16

Q.4. 2(x+5)=24

2x+10=24

2x=24-10

2x=14

x=14/2

x=7

Step-by-step explanation:

For Q1.

1. x + 5 = 8

x = 8 - 5

x = 3

2. -3x + 7 = 16

-3x = 16 - 7

-3x = 9

x = 9/-3

x = -3

3. 3P/7 = 6

3P = 6*7

3P = 42

P = 42/3

P = 14

4. 2(x + 5) = 24

2x + 10 = 24

2x = 24 - 10

x = 14/2

x = 7

5. x/5 - 8 = 9

x/5 = 9 - 8

x = 5

For Q.2:

1. 12 + 4(x + 3(x + 4)) = 108

12 + 4(x + 3x + 12) = 108

12 + 4x + 12x + 48 = 108

60 + 16x = 108

6x = 108 - 60

x = 48/6

x = 8

2. 5x + 7(4 - (x + 3)) = 31

5x + 28 - x + 3 = 31

6x + 31 = 31

6x = 0

x = 0

3. 2(3y - 2(y + 5) + 3) = -4

2(3y - 2y + 10 + 3) = -4

2(y + 13) = -4

2y + 26 = -4

2y = 30

y = 15

4. 20 - 2(2x -(2 - x) + 10) = -44

20 - 2(2x - 2 + x + 10) = -44

20 - 2(3x + 8) = -44

20 - 6x - 16 = -44

4 - 6x = -44

-6x = -44 - 4

-6x = -48

x = -48/-6

x = 8

5. 5(3x - 4(x + 2) + 5(2x + 1)) = 60

5(3x - 4x - 8 + 10x + 5) = 60

5(3x - 4x + 10x - 8 + 5) = 60

5(9x - 3) = 60

45x -15 = 60

45x = 60 + 15

x = 75/45

x = 1.67

For Q.3:

1. x/2 + x/3 = 10

(3x + 2x)/6 = 10

5x/6 = 10

5x = 60

x = 12

2. 1/3(2x/7 - 1) = 3

1/3(2x - 7/7) = 3

2x - 7/7 = 3/(1/3)

2x - 7/7 = 1

2x - 7 = 7

2x = 14

x = 7

3. (P + 2/2) + ( 2P - 6/4) = 5

(2P + 4 + 2P - 6)/4 = 5

(4P - 2)/4 = 5

4P - 2 = 20

4P = 22

P = 5.5

4. x/3 - (2x + 1)/3 - (x - 3)/5

(x - 2x + 1)/3 - (x - 3)/5

(1 - x)/3 - (x - 3)/5

(5 - 5x - 3x - 9)/15

(-8x - 4)/15

5. (y - 2)/3 + (2y + 5)/5 - (y + 7)/3

5/3 + (2y + 5)/5

(25 + 6y + 15)/15

(40 + 6y)/15

Answer:

4, -8, 16

scale factor = x-2

4, -8, 16, -32, 64, -128, 256, -512, 1024, -2048, 4096, -8192, 16384

answer = 16,384

→20 lb tank: 18” tall and 12” in diameter. Holds 5 gallons of propane. ...

→33 lb tank: 2 feet tall and 1 foot in diameter. Holds 8 gallons of propane. ...

→100 lb tank: 4 feet tall and 18” diameter. ...

→420 lb tank: 4 feet tall by 3 feet diameter. ...

→500 gallon tank: 5 feet tall by 10 feet long.

Hope this helps ^_^  

Answer:

27 and 3

Step by Step explanation:

Just list the factors of 81 and find the two numbers

Answer:

x < -3.

x is less than negative 3

Step-by-step explanation:

-18 < 5x - 3

-18 + 3 < 5x (- 3 + 3)

-15 < 5x

-15/5 < 5x/5

-3 > x

x < -3

Less than 14 means

x < 14

Answer:

A. x < 14

Step-by-step explanation:

'<' = "less than"

'=' = "equal to"

'>' = "greater than"

Answer:

looks like there's 5

Step-by-step explanation:

acute angles are under 90°

obtuse are over 90°

right angles are 90°

63

Step-by-step explanation:

i gotchu keep these coming

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{-4x - 5x}[/tex]

[tex]\huge\text{= -4x + (-5x)}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\huge\text{= (-4x - 5x)}[/tex]

[tex]\huge\text{= -9x}[/tex]

[tex]\huge\boxed{\mathsf{Answer: -9x}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

-9x

Step-by-step explanation:

-4x-5x

Combine like terms

-4x-5x

-9x

Answer:

3.(-2/0) this is your answer

Answer:

3[tex]n^{4}[/tex] - 3n²

Step-by-step explanation:

(5[tex]n^{4}[/tex] - 2n²) - (4n² + 4[tex]n^{4}[/tex]) + (3n² + 2[tex]n^{4}[/tex])

Remove parenthesis, distributing the second one by - 1

= 5[tex]n^{4}[/tex] - 2n² - 4n² - 4[tex]n^{4}[/tex] + 3n² + 2[tex]n^{4}[/tex] ← collect like terms

= (5 - 4 + 2)[tex]n^{4}[/tex] + (- 2 - 4 + 3)n²

= 3[tex]n^{4}[/tex] + (- 3)n²

= 3[tex]n^{4}[/tex] - 3n²