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4 years ago

Model the algebraic expression x + 2. Then select all

Mathematics

1 answer:

erastovalidia [21]4 years ago

6 0

Answer:

The second and last option is correct.

Step-by-step explanation:

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Solve and simplify: 4 1/2 x 2 1/3<br> A.9/2 <br> B.7/3<br> C.63/6<br> D.10 1/2

vichka [17]

Answer:

The answer is D. 10 1/2

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The combined area of two squares is 45 square centimeter each side of one square is twice as long as the side of another square

Roman55 [17]

Let $x$ be the side length of the small square. Then, the side length of the big square is $2x$ .

The respective areas are $x^2$ and $(2x)^2=4x^2$

So, the sum of the areas are $x^2+4x^2=5x^2$

We have

$5x^2=45 \iff x^2=9 \iff x=\pm 3$

We can't have negative lengts, so we choose $x=3$

So, the side length of the larger square is 6.

8 0

3 years ago

A student designed this sculpture. Using the dimensions on the sculpture, find the dimensions of each rectangular prism. Then ca

jolli1 [7]

Answer:

Prism Y

$Height = 12in$

$Length = 6in$

$Width = 4in$

$Volume = 288in^3$

Prism Z

$Height = 18in$

$Length =10in$

$Width = 10in$

$Volume = 1800in^3$

$Total = 2088in^3$

Step-by-step explanation:

Given

See attachment for sculpture

Solving (a) The dimension and volume of Y

From the attachment

$Height = 18 - 6$

18 in is the height of Z and 6in represents the length (height) of the unoccupied space by Y

So:

$Height = 12in$

$Length = 16 - 10$

16 in is the total length of the sculpture and 10 in represents the length of Z

So:

$Length = 6in$

$Width = 10 - 6$

10 in is the width of Z and 6in represents the length (width) of the unoccupied space by Y

So:

$Width = 4in$

Hence, the dimension of Y is:

$Height = 12in$

$Length = 6in$

$Width = 4in$

Volume is then calculated as:

$Volume = Length * Width * Height$

$Volume = 12in * 6in * 4in$

$Volume = 288in^3$

Solving (b) The dimension and volume of Z

As identified in (a), the dimensions of Z are:

$Height = 18in$

$Length =10in$

$Width = 10in$

Volume is then calculated as:

$Volume = Length * Width * Height$

$Volume = 18in * 10in * 10in$

$Volume = 1800in^3$

Solving (c): Total volume of the sculpture.

To do this, we simply add up the volumes of Y and Z.

So, we have:

$Total = 288in^3 + 1800in^3$

$Total = 2088in^3$

6 0

3 years ago

point P is located at (-2, 7), and point R is located at (1, 0). find the y value for the point Q that is located 2/3 the distan

natulia [17]

Answer: 7/3

Step-by-step explanation:

R-P= (3,-7). the displacement vector.

P+x(R-P) moves to x times distance between

P+(R-P) = R moves to 100% of the distance.

Q = P+2/3(R-P)

= (-2,7)+2/3(3,-7)

= (-2,7)+(2,-14/3)

= (0,7-14/3)

= (0,7/3)

= (0,2.3333...)

7 0

3 years ago

6^7 divided by 6^5 leaving answer in index form

statuscvo [17]

Answer:

6²

Step-by-step explanation:

When dividing terms with exponents, the exponents subtract:

6⁷/6⁵ = 6²

3 0

3 years ago

Read 2 more answers