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sweet [91]
2 years ago
8

20 Points:

Mathematics
2 answers:
tensa zangetsu [6.8K]2 years ago
8 0

Answer:

x=105

y=150

Step-by-step explanation:

Systematic solution:

\left \{ {{x+y=255} \atop {x+5y=855}} \right.

\left \{ {x=255-y} \atop {x+5y=855} \right.

255-y+5y=855

4y=600

y=150

x=255-150=100

Answer:

x=105

y=150

belka [17]2 years ago
6 0

Answer:

D. 105 students and 150 guests

Step-by-step explanation:

105 students and $1 for each ticket is $105.(105 x 1 = 105)

150 guests and $5 for each ticket is $750.(150 x 5 =750)

$105 + $750 = $855

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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
Bess [88]

Answer:

4c+6a\leq120\\\\4c+4a\leq100

Step-by-step explanation:

Let c represents child bikes and a represents adult bikes.

Given :  Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test.

With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week.

Then, the required system of inequality :-

4c+6a\leq120----(1)\\\\4c+4a\leq100-----(2)

If company make 10 child bikes and 12 adult bikes in the week.

Then Put c=10 and a=12 bikes in (1) and (2).

4(10)+6(12)=40+72=112\leq120⇒Bike order meets the restrictions

4(10)+4(12)=40+48=88\leq100⇒Bike order meets the restrictions

Hence, the system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week.

4c+6a\leq120\\\\4c+4a\leq100

3 0
3 years ago
What is the unit rate in miles per hour if Kelly walks 6 miles in 1.5 hours?
sammy [17]

Answer:

4 miles per hour.

Step-by-step explanation:

6/1.5 = 4

6 0
3 years ago
​One-third of a number is 1 more than ​one-fourth of the same number.<br> What is the number?
konstantin123 [22]

Answer:

  12

Step-by-step explanation:

1/3 of 12 = 4

1/4 of 12 = 3

4 is 1 more than 3.

The number is 12.

_____

If this does not immediately come to mind, you can solve for the number, x:

  x/3 -x/4 = 1 . . . . the difference between 1/3 of x and 1/4 of x is 1

  x/12 = 1 . . . . . . . collect terms: (1/3 -1/4 = 4/12 -3/12 = 1/12)

  x = 12 . . . . . . . . multiply by 12

7 0
3 years ago
Cos (a + 60 ) + Cos (a-60)​
Nadusha1986 [10]

Answer:

the answer is 0.9988747935

hope that works!!

8 0
2 years ago
A spinner is divided into nine equal sections numbered 1 through 9. Predict how many times out of 270 spins the spinner is most
polet [3.4K]

Question 1: 150

Question 2: 50

Question 3: 58% chance

Question 4: Choosing a set of parallel side on a polygon.

Question 5: 1/6

Question 6: 1/5

Question 7: ?

Question 8: Rolling a number greater than 1

Question 9: 1/12

Question 10: 30

Question 11: ?

Question 12: A green marble is selected.

Hope I helped I tried as much as possible.

3 0
2 years ago
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