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kow [346]
3 years ago
6

write a word problem that can be solved using a system of two linear equations. solve the problem and give the meaning of the an

swer.
Mathematics
2 answers:
dmitriy555 [2]3 years ago
5 0

Answer:

The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find numbers

<h3>here</h3>

the other number = x + 9

Let the number be x. 

Sum of two numbers = 25

According to question, x + x + 9 = 25

⇒ 2x + 9 = 25

⇒ 2x = 25 - 9

⇒ 2x = 16

⇒ 2x/2 = 16/2

⇒ x = 8

Therefore, x + 9 = 8 + 9 = 17

Therefore, the two numbers are 8 and 17.

ivann1987 [24]3 years ago
5 0

Fritz wants to get a job to save up money for college, he has two options:

Mr. Smith's Bakery or Samantha's  Ice Cream Shop

Mr. Smith's Bakery is close to Fritz's house so he can walk to it, it pays $8.00 per hour.  Samantha's  Ice Cream Shop is a bit farther away so Fritz has to pay $4 for bus fare every day, the pay is $10.00 per hour.

How long would Fritz have to work at Samantha's Ice Cream Shop to get the same amount at Mr. Smith's Bakery?

In this system, x is the number of hours worked and y is the total amount earned.

Bakery: y = 8x

Ice Cream: y = 10x-4

Solve for x using substitution

8x=10x-4

2x=4

x=2,  This means that it will take 2 hours of work to get the same amount of pay.

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A gift box’s rectangular base has a perimeter of 92 centimeters. The length of the base is one more than twice the base’s width.
kozerog [31]
Assume that the length of the rectangle is "l" and that the width is "w".

We are given that: 
(1) The length is one more than twice the base. This means that:
l = 2w + 1 .......> equation I
(2) The perimeter is 92 cm. This means that:
92 = 2(l+w) ...........> equation II

Substitute with equation I in equation II to get the width as follows:
92 = 2(l+w)
92 = 2(2w+1+w)
92/2 = 3w + 1
46 = 3w + 1
3w = 46-1 = 45
w = 45/3
w = 15

Substitute with w in equation I to get the length as follows:
l = 2w + 1 
l = 2(15) + 1
l = 30 + 1 = 31

Based on the above calculations:
length of base = 31 cm
width of base = 15 cm
3 0
3 years ago
Andrew took 22 minutes to do 13 math problems. Kiley took 24 minutes to do 12 math problems. Which student did more problems per
garri49 [273]

Answer:

Kelly did more math problems.

Step-by-step explanation:

Andrew - 22/13= 1.69

Kelly - 24/12= 2

8 0
3 years ago
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4. Angela baked 24 cookies and gave 16 of
viktelen [127]

Answer:

2/3

Step-by-step explanation:

Idk about the number line circling thing but here is the explanation.

if you see how many out of 24 cookies Angela gave, you see that she gives 16. This is equal to 16/24, which simplifies to 2/3.

Thus, Angela gives 2/3 of her cookies to her neighbor.

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3 years ago
karl can flip 3 water bottles in 1/8 of a minute at that rate how many bottles can we expect him to flip in 1 minute
lara [203]

Answer:

Step-by-step explanation:

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x=3(8/1)=24 bottles per minute

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Answer:

the slope would be 10

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