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Levart [38]
3 years ago
5

At Alan's auto shop, it takes him minutes to do an oil change and minutes to do a tire change. Let be the number of oil changes

he does. Let be the number of tire changes he does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Alan can do in less than an hour ( minutes).
Mathematics
2 answers:
kirill [66]3 years ago
8 0

Complete question :

At Alan's auto shop, it takes him 9 minutes to do an oil change and 12 minutes to do a tire change. Let x be the number of oil changes he does. Let y be the number of tire changes he does. Using the values and variables given, write an inequality describing how many oil changes and tire changes Alan can do in less than an hour ( minutes).

Answer:

9x + 12y < 120

Step-by-step explanation:

Given that:

Time taken for oil change = 9 minutes

Time taken for tire change = 12 minutes

x = number of oil changes ; y = number of tire changes

Total hours = 1 hour = 60 minutes

Number of oil and Tyre changes possible in less than an hour

(Number of oil changes * time taken) + (number of tire changes * time taken) less than 60 minutes

9x + 12y < 120

Elenna [48]3 years ago
3 0

Answer:

9x + 12y < 120

Step-by-step explanation:

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zhuklara [117]

The first term (a) is - 18

You add 5 to get to the next term. Or you can solve it by taking any 2 consecutive terms and find their difference.

Formula

d = t4- t3

Givens

t4 = - 3

t3 = - 8

Solution 1

d = t4 - t3             Substitute

d = -3 -  ( - 8)        Remove the brackets

d = -3 + 8             Combine  

d = 5                    Difference

Remark

Find the general formula

tn = - a + (n - 1)d      Substitute

So term 20 =           Example    

t20 = -18 + (20 - 1)*5 Combine the inside of the brackets. Remove the brackets

t20 = - 18 + 19*5          Combine 19 and 5          

t20 = -18 + 95              "Subtract"

t20 = 77                        Answer

5 0
3 years ago
the bases of a trapezoid have lengths of 8 feet and 14 feet. Find the length of the midsegment of the trapezoid .
LiRa [457]

Answer:

11 ft

Step-by-step explanation:

The midsegment is 1/2 of the top and bottom segments

1/2(8+14)

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5 0
3 years ago
21x-5=7+17x <br> Write it down step by step please
Nat2105 [25]

Answer: x=3

Step-by-step explanation: Step 1: Simplify both sides of the equation.

21x−5=7+17x

21x+−5=7+17x

21x−5=17x+7

Step 2: Subtract 17x from both sides.

21x−5−17x=17x+7−17x

4x−5=7

Step 3: Add 5 to both sides.

4x−5+5=7+5

4x=12

Step 4: Divide both sides by 4.

\frac{4x}{4} = \frac{12}{4}

So Final Answer: <u>x=3</u>

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<u>If I Helped, Please Mark Me As Brainliest, Have A Great Day :D</u>

4 0
3 years ago
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A Crane Lifts a load of 4000N to a height of 20m in 5 seconds. Calculate the power of the Crane in horse power​
Digiron [165]

Answer:

2.54379284 hp.

Step-by-step explanation: Torque is defined as the engines rotational force.  First we find the distance =  m in equation- then we use the formula Power = work/time = 16.7/ 5 = 3.34 and Horsepower formula is given by. Horsepower = (Torque × Speed) / 5252. HP = (3.34 × 4000) / 5252. HP = 13360/5252. HP = 2.54379284 hp.  

Given :    W=4000    m=?        h=20 m                      

Time of operation         t =5 s

Work done in lifting a box            W=mgh= ? ×12×20=4000 = m = 4000/240=16.6666667 = 16.7KG

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3 0
2 years ago
HURRY PLEASE!! 50 POINTS
ICE Princess25 [194]

Answer:

7x² + 5x

Dtep-by-step explanation:

(9x² + 8x) - (2x² + 3x)

9x² + 8x - 2x²- 3x

7x² + 5x

3 0
3 years ago
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