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3 years ago

What is the 50th term in the sequence -3n + 23

Mathematics

1 answer:

kogti [31]3 years ago

5 0

$n=50\\\\-3n+23=\\\\-3\cdot50+23=\\\\-150+23=\\\\-127\\\\50th\ term\ is\ -127.$

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A rectangular rug has an area of 84 square feet. If its length is 2 feet more than twice its width, find the dimensions of the

weeeeeb [17]

L=2W+2

W=(L-2)/2

A=LW, using W from above makes this

A=L(L-2)/2

2A=L^2-2L

L^2-2L-2A=0, given A=84

L^2-2L-168=0

(L-14)(L+12)=0, since L>0

L=14

The length of the rug is 14 ft

(W=(L-2)/2=6 ft)

3 0

3 years ago

what is the area, in square inches, of the largest triangle that can fit into a 3-inch by 4-inch rectangle. please show how you

AnnyKZ [126]

The area of the largest triangle would be 6 inches².

How did I get this? I'll explain first:

We would want our triangle to have the longest sides, so it can be big. If you think of a rectangle, a triangle can fit into it if:

The base (bottom) of the triangle is the same length as one side of the rectangle, and the other side of the triangle is perpendicular (90°) to the bottom and is the same length of the other side of the rectangle.

Okay, just picture it: two sides of the triangle are resting in the two sides of the rectangle, and the third side of the triangle is a line that splits the rectangle in half from one corner to the other.

I've added an image to explain.

The formula to find the area of a triangle is half of the base × height.

A of Δ = half of 3 × 4
A = 1.5 × 4 = 6 inches²!

4 0

3 years ago

In two or more complete sentences, describe a real world situation that can be modeled by the inequality and solve the inequalit

sp2606 [1]

Brittany was playing with 11 marbles on the ground and her friend Natasha was playing with 23 so they couldn't play a game together. then Brittany's friend lent her some amount of marbles that made it so they could play together. what expression could you use to describe this problem?

5 0

3 years ago

R varies directly as S and inversely as T. if R = 8 when S = 4 and T = 3, then R is equal to

Alex

Answer:

R = 6S/T

Step-by-step explanation:

R ∝ S/ T

》R = kS/ T

》k = RT/ S

If R = 8 when S = 4 and T = 3

then, k = (8 × 3)/ 4

k = 6

∴ R = (6 × S)/ T

5 0

3 years ago

24 written as a percentage

Yanka [14]

Any number is equal to that number over 1

So x is equal to x/1

Same thing with 24. 24 = 24/1

To get it into percent we multiply by 100 so:

$\sf{\frac{24}{1}=\frac{24\times100}{1\times100}}$

And simplifying that we get

$\sf{\frac{2400}{100}}$

And x/100 = x%

so 2400/100 = 2400%

So your answer is <em><u>2400%</u></em> :)

5 0

3 years ago