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VARVARA [1.3K]
3 years ago
13

You are in line at an amusement park. You count 34 people in front of you. Each roller coaster fits 11 people. How many roller c

oasters must run before you can get on? Explain.
Mathematics
1 answer:
ki77a [65]3 years ago
5 0
2 you will be the last person on the third roller coaster. ( 11 times 3=33 so you will be the last person)
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(25 POINTS!) Identify the like terms, explain how you know they are
Hatshy [7]

Answer:

Step-by-step explanation:

Like terms: 10y, -2y, 3x, and x

These are all like terms since they have a similar variable

Simplifying the expressions:

10y + 3x + 10 + x -2y = [(10y + -2y) + (3x + x)] + 10

= 8y +  4x + 10

Like terms: 3x, 4x, y, and -2y

Same as first explanation, terms have a similar variable

3x - y + 4x + 6 - 2y = (3x + 4x) + (-2y - y) + 6

= -3y + 7x + 6

Hope I helped :)

8 0
2 years ago
For Oscar's birthday, his grandparents gave him a 100 dollar gift card to a local movie theater. The theater charges 12 dollars
olga_2 [115]

Answer:

Move 100 to the left of a

100 a

List of all of the solutions

ax100=100a

12= 100a

4 0
2 years ago
Find the equation of the line with slope m=1/2 that contains the point (4,6)
vazorg [7]

Answer:

y = 1/2x + 4

Step-by-step explanation:

Use the formula for the equation of a line.

y = mx + b

Where m is the slope, and b is the y-intercept.

The slope is given.

y = 1/2x + b

The points (x, y) are given.

(4, 6)

Put y as 6 and x as 4, solve for b.

6 = 1/2(4) + b

6 = 2 + b

6 - 2 = b

4 = b

The y-intercept is 4 or (0, 4).

The equation of the line is y = 1/2x + 4.

4 0
2 years ago
It's make-your-own-dish night at your favorite pasta restaurant. The restaurant offers 5 types of pasta and 4 different sauces.
densk [106]

Answer:

there are 20 different combinations if that was the question.

Step-by-step explanation:

Formula :

Combination(event 1) times Combinations (Event2)

3 0
3 years ago
How to solve this linear equation step by step please
mote1985 [20]
\bf \cfrac{3}{c^2-4c}-\cfrac{9}{2c^2+3c}=\cfrac{2}{2c^2-5c-12}\\\\\\ 
\begin{cases}
c^2-4c=&c(c-4)\\
2c^2+3c=&c(2c+3)\\\\
2c^2-5c-12=
&(2c+3)(c-4)
\end{cases}\\\\
-------------------------------\\\\
\textit{therefore, our LCD for the \underline{left-side} will have to be }\underline{c(c-4)(2c+3)}\\\\
-------------------------------\\\\

\bf \cfrac{3}{c(c-4)}-\cfrac{9}{c(2c+3)}=\cfrac{2}{(2c+3)(c-4)}
\\\\\\
\cfrac{3(2c+3)-9(c-4)}{c(c-4)(2c+3)}=\cfrac{2}{(2c+3)(c-4)}
\\\\\\
\cfrac{6c+9-(9c-36)}{c(c-4)(2c+3)}=\cfrac{2}{(2c+3)(c-4)}
\\\\\\
\cfrac{6c+9-9c+36}{1}=\cfrac{2[c(c-4)(2c+3)]}{(2c+3)(c-4)}
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-3c+45=2c\implies 45=5c\implies \cfrac{45}{5}=c\implies 9=c
7 0
2 years ago
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