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eimsori [14]
2 years ago
10

Carlotta thinks that 3y + 5y3 is the same as 8y4. Which statement shows that it is NOT the same?

Mathematics
1 answer:
Vesna [10]2 years ago
4 0

Answer:

C. 3(4) + 5(4)³ ≠ 8(4)⁴

Step-by-step explanation:

3y + 5y³ is NOT the same as 8y⁴

Assume y = 4

Not equal to sign ≠

3y + 5y³ ≠ 8y⁴

3(4) + 5(4)³ ≠ 8(4)⁴

12 + 20³ ≠ 32⁴

12 + 8000 ≠ 1,048,576

8012 ≠ 1,048,576

The statement which shows that 3y + 5y³ is NOT the same as 8y⁴ is 3(4) + 5(4)³ ≠ 8(4)⁴

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PLSS ANSWER MY QUESTION
Taya2010 [7]

Answer:

1) Area of frame: 140cm^2 ; Area of picture: 40cm^2 ; Total Area: 180cm^2.      

2) Area 1 =  48cm^2 ; Area 2 = 12cm^2 ; total area = 60cm^2 [first answer line : 60cm^2]

Step-by-step explanation:

1. So to answer this question, you have to find the inner photo area first (which you will then subtract from the overall rectangle area to get the photo frame area).

To find area, you multiply length x width. For this question, there are not enough measurements given to initially multiply length and width. So, assuming that the photo is centered on the frame and the frame width is consistent along all sides, you find the difference between the overall length (12) and the picture length (5).

12 - 5 = 7

The leftover area (outside of the picture) is 7 cm (half of seven on both sides), so one side can be assumed to be : 3.5 cm

this means that 15 cm - 3.5 cm of both sides lengths (difference between the two lengths given) is the height of the photo, 15 - 3.5(2) = 8

So, the dimensions/measurements of the photo are 5 cm by 8 cm.

This means that the inner photo area is 40 (5 x 8) cm

The area of the frame will be the area of the total rectangle [12 x 15] - the inner photo area [40].  [ (12)(15) - 40 ]

[180 - 40] = 140 cm

(area is measured in squared units, so the area of the frame should be written as 140cm^{2} ; and the area of the photo should be written as 40cm^{2})

The total area is the entire area of the rectangle: (12)(15) = 180. (This should be written as 180cm^2)

--------------------------------------

2) Finding the area of a shape that isn't a simple rectangle is easier if you separate the shape into smaller rectangles. I will separate the two rectangles into 4 x 12 and 2 x 6 [6 cm would be the remaining side length if you remove the length of 4].

{you can separate the shape in multiple ways, so my answer is only one answer to this problem out of other splits.}

as mentioned, the area is length x width.

4 x 12 = 48.

2 x 6 = 12. Once again, you should write area in squared units.

(the area 1 should be written as 48cm^{2} ; the area 2 should be written as 12cm^2)

you can combine the separated areas (add them) to find the total area. 48 + 12 = 60.

(the total area should be written in squared units also, so the total area should be written as: 60cm^2)

The area of the figure is 60cm^2

8 0
2 years ago
Jill rides her bike to her friend’s houses. Marge lives 3 miles away and Rocky lives 5 miles away. Eva lives 4 miles away and Pe
STALIN [3.7K]

Answer:

She will ride an average of 5 miles

Step-by-step explanation:

To calculate the average, add all the values together and divide by the amount of values:

3 + 5 + 4 + 8 = 20

20 ÷ 4 = 5

Average of 5 miles

4 0
3 years ago
Which shows the correct first step to solving the system of equations in the most efficient manner? 3 x + 2 y = 17. x + 4 y = 19
Anton [14]

Answer:

a.)x = negative 4 y + 19

Step-by-step explanation:

i got it right on e2020 lol

5 0
3 years ago
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A carpenter cut out a small trapezoid as a wooden support for the front step. it has an altitude of 4 inches. One base of the tr
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Area of wooden support is 36 square inches

<em><u>Solution:</u></em>

Given that, carpenter cut out a small trapezoid as a wooden support for the front step

<em><u>The area of trapezoid is given as:</u></em>

area = \frac{a+b}{2} \times h

Where, "h" is the height

"a" and 'b" are the length of base

Here given that,

Height = h = 4 inches

a = 6 inches

b = 12 inches

Substituting the values we get,

area = \frac{6+12}{2} \times 4\\\\area = 18 \times 2\\\\area = 36

Thus area of wooden support is 36 square inches

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What is the percent of discount on a $37.50<br> dress on sale for $26.25?
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Answer:

30% discount.

Step-by-step explanation:

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