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Vladimir79 [104]
3 years ago
5

Which expression is the best estimate for 1 3/4 + 2 3/8

Mathematics
1 answer:
Citrus2011 [14]3 years ago
6 0
The answer is 4 because 1 6/8 + 2 3/8 =4 1/8 so it would round to 4
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Write an equivalent expression using distributive property and simplify for each question
Lana71 [14]

Answer:

Check explanations

Step-by-step explanation:

For all real numbers a,b, and c, the distributive property states that:

a(b + c) = ab + ac

For Part A, we have

2x + 10x = x(2 + 10) = x(12) = 12x

Or

2x + 10x = 2x(1 + 5) = 2x(6) = 12x

For Part B, we have

-4(3x-10)+5(2-6x)=-4*3x--4*10+5*2-5*6x

This simplifies to:

-4(3x-10)+5(2-6x)=-12x+40+10-30x

-4(3x-10)+5(2-6x)=-12x-30x+40+10

-4(3x-10)+5(2-6x)=-42x+50

For the C part, we have:

2(x - 4) + x = 2 \times x - 2 \times 4 + x

2(x - 4) + x = 2x - 8+ x

2(x - 4) + x = 3x - 8

For Part D, we have:

-3-7(3-4x)+8x =  - 3 - 7 \times 3  - 7 \times  - 4x + 8x

We simplify to get:

-3-7(3-4x)+8x =  - 24+28x + 8x

Simplify further to get:

-3-7(3-4x)+8x =-24+36x

4 0
3 years ago
If a polygon is rotated, which of the following characteristics of the polygon will always be the same? Select ALL that apply.
ASHA 777 [7]

Answer:

When we have a rotation about a given point, the distance between the rotated point and the axis of rotation will remain constant, the only thing that changes is the coordinates of the point.

This tell us that the main measures of any rotated shape will not change.

Then the side lengths will remain constant, this implies that the area also remains constant, and this also means that the angle measures should remain the same.

And because the perimeter is equal to the sum of all the side lengths, the perimeter also remains the same.

The only thing that changes will be the coordinates of our polygon.

4 0
3 years ago
Simplify the expression <br> 7y+3x+3-2y+6
pishuonlain [190]

Answer:

5y + 3x + 9

Step-by-step explanation:

Whenever something is multiplied by the same variable, you can combine the coefficients. In this case, first you'd move the values with the same variable next to each other, for simplicity:

7y-2y+3x+3+6

Then, combine like terms.

5y+3x+3+6

5y+3x+9

8 0
3 years ago
You invest 1000 in an account at 2.5% per year simple interest how much will you have in the account at the beginning of the 4th
vodka [1.7K]
You will have gain $25 each year so after 4 years you will have $1100
7 0
3 years ago
Use the triangles at the right to find the trigonometric ratio
tekilochka [14]

Answer:

Trigonometric ratio is the special measurements of a right triangle. There are three basic trigonometric ratios which are sine , cosine , and tangent.

Step-by-step explanation:

What is sine? The sine of an angle x is the length of the opposite side.

What is cosine? The cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse.

What is tangent? The tangent of an angle is the length of the opposite side

Tangent and sine are very closely related and easily mixed up. Be carful with your calculations for the most accurate answer.

6 0
3 years ago
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