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Flauer [41]
2 years ago
10

Salma, joe, and alan sent a total of 106 text messages during the weekend, salma sent 9 fewer messages than alan. Joe sent 3 tim

es as many messages as alan. How many messages did they each send?
Mathematics
1 answer:
krek1111 [17]2 years ago
5 0

Answer:

Salma, joe, and alan sent 14, 69, and 23 text messages respectively

Step-by-step explanation:

Given that Salma, joe, and alan sent a total of 106 text messages during the weekend, it means that

s + j + a = 106 where s, j, and a are the number of messages sent by Salma, joe, and alan respectively

Given salma sent 9 fewer messages than alan

s = a - 9

Joe sent 3 times as many messages as alan

j = 3a

hence

a - 9 + 3a + a = 106

5a - 9 = 106

5a = 106 + 9

5a = 115

Divide both sides by 5

a = 115/5

= 23

s = 23 - 9

= 14

j = 3* 23

= 69

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Damm [24]
There are two costs involved:

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2) the cost for the trip which is $443.75 to be divided by the 25 students, so it is $443.75 / 25 = $17.75/student

Now, you can add up those two costs per student to have the total cost per student:

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Answer: $25.00
5 0
3 years ago
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Use the net as an aid to compute the surface area of the triangular prism. A) 112 m2 B) 136 m2 C) 160 m2 D) 184 m2
Aloiza [94]

Answer:

136 m2 Option c

Step-by-step explanation:

136 m2

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2 sides = 2(7 × 5) = 70

2 triangles = 2(6 × 4

2

) = 24

SA = 42 + 70 + 24 = 136 m2

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Como se escribe 317 en inglés en letras
Tom [10]

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2 years ago
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An artist used a scale factor of 1 in=8 ft to create a model of a building. if the actual building has a height of 64 feet, how
nalin [4]

Answer:

<em>Okay, so what I think you mean to ask what the scale factor between the model and actual building</em> is, so i crunched the numbers. if 1 in equaled 8 feet and the actual thing was 64 ft, then we can just say that 64 divided by 12 is 5.3, so the model could be

5.3 ft. is the size of the model

BUT

you said how many feet are they apart so in inches its 705, in ft its 58.75

Step-by-step explanation:

a foot is 12 in.

64/12 is 5.3

64 ft is 768 inches, and 5.3 is 63.

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there are 705 inches in difference, in feet its 58.75

8 0
2 years ago
What product is positive ?​
s344n2d4d5 [400]
<h3>Answer: Choice D</h3>

=======================================================

Explanation:

The long way to do this is to multiply all the fractions out by hand, or use a calculator to make shorter work of this.

The shortest way is to simply count how many negative signs each expression has.

The rule is: if there are an even number of negative signs, then the product will be positive. Otherwise, the product is negative.

For choice A, we have 3 negative signs. The result (whatever number it is) is negative. Choice B is a similar story. Choice C is also negative because we have 1 negative sign. Choices A through C have an odd number of negative signs.

Only choice D has an even number of negative signs. The two negatives multiply to cancel to a positive. The negative is like undoing the positive. So two negatives just undo each other. This is why the multiplied version of choice D will be some positive number.

Or you can think of it as opposites. If you are looking up (positive direction) and say "do the opposite" then you must look down (negative direction). Then if you say "do the opposite", then you must look back up in the positive direction.

5 0
3 years ago
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