James, Reed, Spencer and Larry have 912 cups of trail mix for their hike. If they each eat the same amount of trail mix, how many cups will each person eat?

Answer:

b. 12π

Step-by-step explanation:

C= 2πr

R= D/2= 12/2= 6

C= 2x3.14x6

2x6= 12

C= 12π

Given :-

Then,

Using Formula

★Circumference of circle = 2πr

Keep Value

==> Circumference of circle = 2π × 6

==> Circumference of circle = 12π

Answer:

102

Step-by-step explanation:

These angles are congruent due to corresponding angles thm

3x + 21 = 6x - 60

3x - 6x = -60 - 21

-3x = -81

x = 27

3x + 21

3(27) + 21

81 + 21

102

Answer:

y-y1 = m(x-x1)

y-7 = 3(x-3)

y-7 = 3x-9

y = 3x-2

Answer:

x=10 , x=13

Steps:

5.

4x+5x=180-90

9x=90

x=90/9

x=10

6.

(3x+7)+(2x+3)=180-105

5x+10=75

5x=65

x=65/5

x=13

Step-by-step explanation:

☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]

✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]

[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]

⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]

⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]

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

✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]

[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]

⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]

⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]

⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]

Hope I helped ! ✧

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer!

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The equation that represents the given situation is 12 + 6x = 30.

The number of additional hours is 3.

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

A trampoline park costs $12 for the first hour and $6 for each additional hour.

Amount paid at the park = $30

Now,

12 + 6x = 30

x is the number of hours.

Solve for x.

12 + 6x = 30

6x = 30 - 12

6x = 18

x = 3

Thus,

The equation is 12 + 6x = 30.

The number of hours is 3.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

The first question on the very left it shows

Step-by-step explanation:

go left from main question and up

Answer:

5

Step-by-step explanation:

use the formula y2-y1/x2-x1 = 28-18/4-2=10/2=5

Answer: The slope is equal to 5.

Step-by-step explanation: Remember rise over run or y^1 - x^1/y^2 - x^2.

Hope that helps you :)

Answer:

Yes you are correct

The peak is at 5

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

total number of odd numbers / total numbers in the bag = 5/9

Answer: 233.53 seconds

Step-by-step explanation:

Since we aren't given any further information in the question, the best time for the race based on the information given will be the addition of the top speed for each leg. This will be:

= 56.81 + 59.22 + 57.39 + 60.11

= 233.53 seconds

Therefore, the best time for the race is 233.53 seconds.

Answer:

5376

Step-by-step explanation:

12 x 16 x 28

Answer:

60

Step-by-step explanation:

-12 * -5 = 60

Answer:

60

Step-by-step explanation:

Hey!

When you multiply a negative by a negative you get a positive, because the two negative signs are cancelled out.

So -12(-5) is equivalent to 12(5) which is 60.

Hope I helped, Feel free to ask any questions if you need me to clarify!

Have a nice day!

            -Aadi x

Answer:

An equivalant faction would be 10/12

Step-by-step explanation:

Answer:

10/12

Step-by-step explanation:

12/6 = 2

5/6 * 2/2 = 10/12

Answer: 10/12

Answer:

3084 sq. ft

Step-by-step explanation:

for the first three rooms,

area= 6l² = 6× 17² = 1734

for the next two rooms,

area= 6l² = 6×15² = 1350

total area = 3084

Answer:

5 km

Step-by-step explanation:

From. The question, the triangle formed us a right angled triangle,

h km directly from starting point is the hypotenus, h :

Hypotenus = sqrt(opposite² + Adjacent²)

h = sqrt(4² + 3²)

h = sqrt(16 + 9)

h = sqrt(25)

h = 5 km

Answer

-[tex]\frac{7}{2\\}[/tex]

Step-by-step explanation:

Answer:

-7/2 or -3.5

Step-by-step explanation:

Answer:

The first one perimeter is 111

Step-by-step explanation:

How  to find the perimeter is too add all the numbers you see

Answer:

There will be no real solution. A further explanation is given below.

Step-by-step explanation:

The given equation is:

⇒ [tex]7x-12<7(x-1)[/tex]

On solving bracket, we get

⇒ [tex]7x-12<7x-7[/tex]

On putting numbers on the right side and x's on the left side of the equation, we get

⇒ [tex]7x-7x<-7+12[/tex]

⇒ [tex]0<5[/tex]

Thus the above is the appropriate solution.

Answer:

Pam 6

Tia 8

Veronica 11

Lily 15

Step-by-step explanation:

Tia's age = 8

Pam's age = Tia's age - 2

8 - 2 = 6

Veronica = pam's age + 5

6 + 5 = 11

Lily's age = veronica's age + 4

11 + 4 = 15

Answer:

25/28

Step-by-step explanation:

5/4 x 5/7 = 25/28

Answer:

25/28

Step-by-step explanation:

Answer:

the answer should be 24ft

Step-by-step explanation:

Answer:

24 ft

Step-by-step explanation:

1/2hb

4=h

12=b

plug in

1/2(4)(12)= 24

Answer:

1713 milliliters

Step-by-step explanation:

1 liter is 1000 milliliters, so 2 liters is equal to 2000 milliliters.

2000 mL - 287 mL = 1713 mL

So 1713 mL are left.

Answer:

1 1/4

Step-by-step explanation:

5/8 ÷ 2

Copy dot flip

5/8 * 2/1

Rewriting

5/1 * 2/8

5 * 1/4

5/4

1 1/4

[tex] \large \color{lime}Answer:[/tex]

[tex] \frac{5}{8} \div 2 = \frac{5}{8} \times \frac{1}{2} = \frac{5}{16} [/tex]

[tex] \large \color{gold}Explaination:[/tex]

Change divide into multiplication then find the reciprocal of 2 then change the places of it then multiply to 5/8 and you will get the product.

Answer:

Opposite

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

Answer:

r<-4

Step-by-step explanation:

when inequality is divided by a negative number the sign changes to next direction.

Answer:

Since total sum of interior angles of a triangle is 180 Do the calculation you will get it