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Sedbober [7]
3 years ago
11

Which of these is a correct expansion of (4x - 2)(2x2 + 3)?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
5 0

Answer:

a correct expansion is B

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A garden box has a perimeter of 18½ feet. If the length is 5 feet, what is the area of the garden box?
Travka [436]

Answer:

area=\frac{85}{4}feet^{2}

Step-by-step explanation:

1. Approach

Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.

2. Solve for the width

It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.

perimeter=18\frac{1}{2}\\\\length=5

2(length+width)=perimeter

Substitute,

2(5+width)=18\frac{1}{2}

Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.

2(5+width)=\frac{37}{2}

Inverse operations,

2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}

3. Solve for the area

Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).

length=5\\\\width = \frac{17}{4}

length*width=area

Substitute,

5*\frac{17}{4}\\\\=\frac{85}{4}

area=\frac{85}{4}feet^{2}

4 0
3 years ago
Please answer this correctly is the answer <br> 2:29am<br> 3:29am<br> 1:35am<br> 6:29am
Lady bird [3.3K]

Answer:

2:29 AM

Step-by-step explanation:

By the time the planes reaches California, the time, in Mountain time, is 14:89 AM or 3:29 AM. From the mountains to the Pacific, the time goes back by 1 hour. 3:29 - 1 hour is 2:29 AM.

6 0
3 years ago
Please answer #1 and #2
DIA [1.3K]
1)
x^2 + (3y/2z) = 7
2x^2z + 3y = 14z
3y = 14z - 2x^2z
3y = 2z(7 - x^2)
  y = 2/3(z)(7 - x^2)

2)
(3zx^4) /(5+z) = 2y
3zx^4 = 2y(5+z)
3zx^4 = 10y + 2yz

6 0
3 years ago
Please need help on this thank you
Katen [24]

multiply width times the height to get the rectangle area

5 x 7 = 35 units squared

I may be wrong but I think you may be over complicating it its okay I do that a lot too


8 0
3 years ago
Read 2 more answers
Please Help Me Will Pick the first correct answer brainliest
dimaraw [331]

Answer:

1 and 4 are correct :)

Step-by-step explanation:

8 0
3 years ago
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