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2 years ago

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A pair of shoes costs $29.99 and the state sales tax is 5%. Use the formula C = p + rp to find the total cost of the shoes, wher

e C is the total cost, p is the price, and r is the sales tax rate.

1 answer:

Lemur [1.5K]2 years ago

6 0

29.99 + .05 × 29.99 = 31.49

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Lyrx [107]

Answer: convex

Step-by-step explanation:A convex polygon is a simple polygon (not self-intersecting) in which no line segment between two points on the boundary ever goes outside the polygon. Equivalently, it is a simple polygon whose interior is a convex set.

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3 years ago

Can some one please help me <br><br>solve: 6(x+4) = 30

DochEvi [55]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Can you see an easy way to work out the value of <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%201%5E3%20%2B%202%5E3%20%2B%203%5E

Lina20 [59]

We have the sum of cubes identity

$a^3 + b^3 = (a + b) (a^2 - ab + b^2)$

and observing that 1 + 4 = 2 + 3, we have

$1^3 + 4^3 = (1 + 4) (1^2 - 4 + 4^2) = 5 \times 13$

and

$2^3 + 3^3 = (2 + 3) (2^2 - 6 + 3^2) = 5 \times 7$

Then

$\sqrt{1^3+2^3+3^3+4^3+5^3} = \sqrt{5\times13 + 5\times7 + 5\times5^2} = \sqrt{5 \times (20 + 25)} \\\\ ~~~~~~~~ = \sqrt{5^2 \times (4 + 5)} = \sqrt{5^2\times9} = \sqrt{5^2\times3^2} = 5\times3 = \boxed{15}$

Alternatively, we have the well-known sum of cubes formula

$\displaystyle \sum_{i=1}^n i^3 = \frac{n^2(n+1)^2}4$

The sum under the square root is this sum with $n=5$ . Then

$1^3+2^3+3^3+4^3+5^3 = \dfrac{5^2\times6^2}4 = 225 = 15^2$

and so the square root again reduces to 15.

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1 year ago

A music app charged $2 to download the app plus $1.29 per song downloaded. Write and solve a linear equation to find the total c

lara31 [8.8K]

So from what I am seeing is $2 + $1.29 times 30. Which would be $43.7

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3 years ago

A wheelchair ramp has a slope of 1 10 . if its rise is 1 5 2 feet, what is its run?

ikadub [295]

$slope = \frac{rise}{run} \\ 110 = \frac{152}{run} \\ run \times 110 = 152 \\ run = \frac{152}{110} \\ run = \frac{76}{55} \: \: \: \: or \: \: \: 1.38$

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3 years ago