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VLD [36.1K]
2 years ago
10

Ken is thinking of a number. Nine more than the product of 4 & the number is 73. Find Ken's number.

Mathematics
1 answer:
motikmotik2 years ago
3 0

Answer:

x = 16

Step-by-step explanation:

Let the unknown number be x.

Translating the word problem into an algebraic expression, we have;

4x + 9 = 73

4x = 73 - 9

4x = 64

x = 64/4

x = 16

Therefore, the unknown number is 16.

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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
23% put into a fraction
never [62]

Answer:

23/100

Explanation:

23% is 23 out of 100. 23/100 can not be simplified further.

3 0
2 years ago
Read 2 more answers
Please help, I don’t understand it so explain don’t just put the answer if u can lols
ludmilkaskok [199]

Answer

27 days

Step-by-step explanation:

father= 45 days

oldest son + father=27 days

youngest + father= 36 days

45-27=18

45-36=9

18+9=27

so it would take 27 days for both sons to complete the house

18 days=oldest son

9 days =youngest son

7 0
3 years ago
Read 2 more answers
Almonds cost $5 per pound. Cashews cost $2 per pound. Matt purchased a container of almonds and cashews that sells for $3 per po
kvv77 [185]

Answer:

Step-by-step explan

8 0
2 years ago
What's the midpoint between (1,-7) and (-1,-23)
Alik [6]
Answer: (0,-15)

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

Explanation:

Add up the x coordinates to get 1+(-1) = 0. Divide this sum in half to get 0/2 = 0. Therefore the x coordinate of the midpoint is 0.

Repeat for the y coordinates. First add the y coordinates to get -7+(-23) = -30. Then divide that result in half to get -30/2 = -15. So the y coordinate of the midpoint is -15.

Overall, the midpoint is (0,-15).

8 0
2 years ago
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