Gained in total = 10.
Moved Backwards in total = 3.
But if you keep them all together with the amount taken away, they've only gained 8 yards.
Answer:
36 sq. cm
Step-by-step explanation:
triangle area= 0.5 * 12* 10
rectangle are= 8* 3
60 - 24 = 36
Answers:
- Total equation: x+y = 80
- Legs equation: 2x+4y = 248
- How many ducks? 36
- How many cows? 44
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Further explanation:
- x = number of ducks
- y = number of cows
x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.
That equation can be solved to y = 80-x after subtracting x from both sides.
The legs equation is 2x+4y = 248 because...
- 2x = number of legs from all the ducks only
- 4y = number of legs from all the cows only
- 2x+4y = total number of legs from both types of animals combined
We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248
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Let's plug y = 80-x into the second equation and solve for x.
2x+4y = 248
2x+4( y ) = 248
2x+4( 80-x ) = 248
2x+320-4x = 248
-2x+320 = 248
-2x = 248-320
-2x = -72
x = -72/(-2)
x = 36
There are 36 ducks
Now use this x value to find y
y = 80-x
y = 80-36
y = 44
There are 44 cows.
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Check:
36 ducks + 44 cows = 80 animals total
36*2 + 44*4 = 72 + 176 = 248 legs total
The answers are confirmed.
Answer:
108 degrees
Step-by-step explanation:
Since angles A and B are supplementary, they both add up to 180. Angle A = 7x+10, and angle B = 7x-26. You can set up the equation A + B = 180, and then plug in angles A and B, which gives you 7x+10 + 7x-26 = 180. Then you just need to isolate x:
Combine like terms: 14x - 16 = 180
Add 16 to both sides: 14x = 196
Divide both sides by 14: x = 14
Now that you know x, you can plug it into the expression for angle A (7x+10):
A = 7(14) + 10 = 98+10 = 108
Answer:
Hence, a carpenter can paint a maximum of 7 chairs.
Hence, option A is correct.
Step-by-step explanation:
A carpenter has less than 120 min. to spend painting furniture each day.
Today, he has spent 30.5 min. painting a desk.
Now he will paint x chairs, each of which takes 12.5 min.
i.e. he will take a total of 12.5x minutes in painting 'x' chairs.
Also total time spent on painting furniture each day will be equal to time spent on painting a desk and all of the chairs.
Hence,
30.5+12.5x<120 (since the total time he spends on painting is less than 120 mins.)
⇒ 12.5 x<120-30.5
⇒ 12.5 x<89.5
⇒ x<7.16 ( on dividing both side of the inequality with 12.5)
Hence, a carpenter can paint a maximum of 7 chairs.
