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balu736 [363]
3 years ago
13

Emma substitutes 3 for x in a one-variable linear equation and finds that it makes the equation true. She then substitutes 5 for

x then in the same linear equation true. What can you conclude about the number of solutions of the equation
Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0

Answer:

The equation has infinite solutions

Step-by-step explanation:

Linear equations can have zero, one or infinite solutions.

If Emma tested two values (3 and 5) for the same equation and they were both true solutions, this means that the equation has more than one solution.

If a linear equation has more than one solution, than the equation has infinite solutions.

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Y=MC+X

Step-by-step explanation:

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sami gets £50 for her birthday.She buys a magazine costing £1.95, a bag for £7.50 and a pair of shoes for £24.99.How much does s
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The area of a rectangle is 123 cm2. If the width is 3 cm, find the length. Let l represent the length of the rectangle.
BartSMP [9]

Answer:

41 cm

Step-by-step explanation:

123/3

8 0
3 years ago
A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves
Alexxandr [17]
<h3>G I V E N : </h3>

A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?

<h3>S O L U T I O N : </h3>

Total Income = $ 1500

According to the question,

He spends 20% to his kids education

He spends 35% for food

He spends 15% for miscellaneous

Out of total income he spends 20% on kids education

So, amount spent on kids education = 20% of $1500

Amount = 20/100 × $1500

Amount = $300

Hence, money spent on his kids education is $300

35% is spent on food

Money spent on food = 35% of $1500

Money spent = 35/100 × $1500

Money spent = $525

Hence, money spent on food is $525

15% is spent on miscellaneous

Money spent on miscellaneous = 15% of $1500

Money spent = 15/100 × $1500

Money spent = $225

Hence, money spent on miscellaneous is $225

Now, adding all the three we get

$300 + $525 + $225

$825 + $225

$1050

Total money spent = $1050

Remaining money = $1500 - $1050 = $450

  • <u>Remaining amount left with him is $450</u>
3 0
3 years ago
Read 2 more answers
A bucket that weighs 4lband a rope of negligible weight are used todraw water from a well that is 80ftdeep. The bucket is filled
liq [111]

Answer:

Workdone = 3200 lb.ft

Step-by-step explanation:

We are told that the bucket is filled with 40 lb of water but water leaks out of a hole in the bucket at a rate of 0.2lb/s

Thus,

Weight of water at any given time (t) would be;

w(t) = 40 - 0.2t - - - - (1)

We are told the bucket is pulled up at a rate of 2ft/s.

Thus, height at time (t); y = 0 + 2t = 2t

Since y = 2t,

Then,t = y/2

Put y/2 for t in eq 1

Thus; w(y) = 40 - 0.2(y/2)

w(y) = 40 - 0.1y

Now, at y = 80 ft, we have;

w(80) = 40 - 0.1(80)

w(80) = 40 - 8 = 32 lb

Since 32 lbs are left, it means there is always water in the bucket.

Thus, work done is;

W = 80,0[∫(Total weight).dy]

W = 80,0[∫[(weight of rope) + (weight of bucket) + (weight of water)]dy]

W = 80,0[∫[0 + 4 + 40 - 0.1y]dy]

Integrating, we have;

W = [44y - y²/20] at boundary of 80 and 0

So,

W = [44(80) - 80²/20] - [0 - 0²/20]

W = 3200 lb.ft

8 0
3 years ago
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