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valentina_108 [34]
3 years ago
8

On a school bus, 22 of the 40 students are in window seats. What fraction

Mathematics
1 answer:
Gnoma [55]3 years ago
8 0

Answer:

11/20

Step-by-step explanation:

simplify 22/40

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Carlos and Maria drove a total of 217 miles in 4.1 hours. Carlos drove the first part of the trip and averaged 52 miles per hour
VMariaS [17]
M = hours driven by Maria

c = hours driven by Carlos

since we know that Carlos was driving at an average of 52 mph, then in 1 hour he drove 52 miles, in 2 hours he drove 2*52 miles in "c" hours he drove c*52 miles or 52c.

Maria on the other hand is faster and does 54 mph, in 1 hour she does 1 * 54 miles, and on 2 hours she does 2 * 54 miles and in "m" hours she does m * 54 miles or 54m.

now, we know the total amount of miles they both drove is 217, so whatever "m" and "c" are we know that 54m + 52c = 217.

we also know it took 4.1 for the whole trip, so m + c = 4.1.

\bf \begin{cases}
m+c=4.1\implies \boxed{c}=4.1-m\\
54m+52c=217\\
-------------\\
54m+52\left( \boxed{4.1-m} \right)=217
\end{cases}
\\\\\\
54m-52m+213.2=217\implies 2m=3.8
\\\\\\
m=\cfrac{3.8}{2}\implies m=1.9

so Maria drove for 1.9 hours.

How many hours did Carlos drive for?  well, c = 4.1 - m.
4 0
3 years ago
George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2.65), a drink ($1.35),
olga nikolaevna [1]
So George did't put parentheses around total snack amount to subtract his $15.He would need the total purchases to subtract amount by $15.
7 0
3 years ago
Read 2 more answers
Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + y = 6 x
Mnenie [13.5K]

The solution of the system of equations contains one point

<h3>How to determine the number of solutions?</h3>

The system is given as:

x + y = 6

x - y = 0

Add both equations

2x = 6

Divide by 2

x = 3

Substitute x = 3 in x - y = 0

3 - y = 0

Solve for y

y = 3

So, we have x =3 and y = 3

Hence, the solution of the system of equations contains one point

Read more about system of equations at:

brainly.com/question/14323743

#SPJ1

8 0
1 year ago
What is lcm of 21, 45 , and 6?
eimsori [14]
21,45,6
21=3*7
45=3*3*5
6=3*2
LCM= 3*3*7*5*2
LCM=630

8 0
3 years ago
What is the value of x?
fgiga [73]

Answer:

Step-by-step explanation:

40°+31°=71°

trinagle =180°

180°-71°=109

180-109=71°

X=71°

6 0
3 years ago
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