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Klio2033 [76]
3 years ago
13

A student wrote the equation 4(x+5.5)=3(1.5x+4.75) to represent the problem shown. Find her mistake and correct it.

Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0

Answer:

  • $8.5

Step-by-step explanation:

<u>The first group consists of Petra and 4 friends, so the total number of members is 5, therefore the left side of equation should be:</u>

  • 5(x + 5.5)

<u>The second group consists of 4 people, Valentina and 3 friends, therefore the right side of the equation should be</u>:

  • 4(1.5x + 4.75)

<u>Solving the equation to find the cost of a ticket for Petra's group:</u>

  • 5(x + 5.5) = 4(1.5x + 4.75)
  • 5x + 27.5 = 6x + 19
  • 6x - 6x = 27.5 - 19
  • x = 8.5

Cost of a ticket is $8.5

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Monique is factoring the expression 4 x + 16 x y. Her work is shown below. Factors of 4x: 1, 2, 4, x Factors of 16xy: 1, 2, 4, 8
Anika [276]

Answer:

Monique made an error when writing the factored expression.

Correct factored

expression=4x(1+4y)

Step-by-step explanation:

factoring the expression 4 x + 16 x y.

Factors of 4x: 1, 2, 4, x

Factors of 16xy: 1, 2, 4, 8, 16, x, y

GCF: 4x

Factored expression: 4 x (0 + 4 y)

Monique made an error when writing the factored expression.

The correct factored expression should be:

4x+16xy

=4x(1+4y)

Contrary to 4x(0+4y)

Correct factored

expression=4x(1+4y)

4 0
2 years ago
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A puppy weighs 3 pounds. What is the puppy's weight in ounces
gtnhenbr [62]
The puppy weighs 48 ounces
6 0
2 years ago
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Plz help!! A jar contained 6 red marbles, 10 green marbles, and 8 blue marbles. A marble was selected at random, the color was r
Inessa [10]

Answer:

To calculate the relative frequency, first we need to know what exactly is and how to calculate it.

Relative frequency is the ratio between the absolute frequency (how many repetitions have a specific outcome) and the total outcomes. Also, this type of frequency is used to show the representation that some data have over the whole distribution.

So, in this case, we need to just divide 13, which belongs to red marble's results, to 60 which is the total outcomes, as it's presented:

         13redmarble                                                                                                                       Fr = -------------------------

       60 totalmarbles  

Normally, relative frequency is shown as a percentage multiplying this result by 100. Therefore, 22% is the approximate percentage of the relative frequency, which means that 22% is the representation of red marbles outcomes of the whole distribution, or we can say it as a probability: there's 22% of chances when someone extract a marble, it will be red.

3 0
2 years ago
2x +1 &lt; 5 what would be the inequality for this ?
Juli2301 [7.4K]

Hey there!


2x + 1 < 5

SUBTRACT 1 to BOTH SIDES

2x + 1 - 1 < 5 - 1

SIMPLIFY IT!
2x < 5 - 1

2x < 4


DIVIDE 2 to BOTH SIDES

2x/2 < 4/2

SIMPLIFY IT!
x < 4/2

x < 2


Therefore, your answer is: x < 2

(The graph is down below)


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

8 0
2 years ago
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Need to round 402 to nearest ten and hundred
antoniya [11.8K]
The 0 in the number 402 is in the ten place. The number after it is 2. 2 is less than 5.

402 rounded to the nearest ten is 400

The 4 in the number 402 is in the hundreds place. The number after it is 0. 0 is less than 5.

402 rounded to the nearest hundred is 400
6 0
3 years ago
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