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3 years ago

Pete roller skates with a constant speed of 16km/h.how far can he travel in 2 1/2 hours?

Mathematics

1 answer:

WINSTONCH [101]3 years ago

5 0

$\frac{6}{x} = \frac{1}{2 \frac{1}{2} }$
use butterfly method:
(6)(2 1/2) = x
15 = x
x = 15

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Steinmetz furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $100 and requires 1

ser-zykov [4K]

Answer:100B + 50M ? 25000

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3 years ago

How many $10 bills are the same as ten $ 1 bill?

Schach [20]

10 they have 10 dollar bill

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3 years ago

Read 2 more answers

A bowl contains 80 M&M candies if 15 of the candies are orange what fraction of the candies

Angelina_Jolie [31]

13/16 are not orange

15-80=65

65/80 candies are not orange
5 is a multiple of both numbers so divide 65 and 80 and you get 13/16

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3 years ago

Solve using the quadratic formula:<br> 3x=2x^2-2

Tomtit [17]

Answer:

$x=2\\x=-\frac{1}{2}$

Step-by-step explanation:

1) Move terms to the left side.

$3x=2x^{2} -2\\3x-(2x^{2}-2)=0$

2) Distribute.

$3x-(2x^{2} -2)=0\\3x-2x^{2} +2=0$

3) Rearrange terms.

$3x-2x^{2} +2=0\\-2x^{2} +3x+2=0$

4) Common factor.

$-2x^{2} +3x+2=0\\-(2x^{2} -3x-2)=0$

5) Divide both sides of the equation by the same term.

$-(2x^{2} -3x-2)=0\\2x^{2} -3x-2=0$

6) Use the quadratic formula.

$x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}$

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

$2x^{2} -3x-2=0\\a=2\\b=-3\\c=-2$

$x=\frac{-(-3)+\sqrt{(-3)^{2} -4*2(-2)} }{2*2}$

7) Simplify.

Evaluate the exponent

$x=\frac{3+\sqrt{(-3)^{2}-4*2(-2) } }{2*2}$

$x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}$

Multiply the numbers

$x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}$

$x=\frac{3+\sqrt{9+16} }{2*2}$

Add the numbers

$x=\frac{3+\sqrt{9+16} }{2*2}$

$x=\frac{3+\sqrt{25} }{2*2}$

Evaluate the square root

$x=\frac{3+\sqrt{25} }{2*2} \\x=\frac{3+5}{2*2}$

Multiply the numbers

$x=\frac{3+5}{2*2}$

$x=\frac{3+5}{4}$

8) Seperate the equations.

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

$x=\frac{3+5}{4}$

$x=\frac{3-5}{4}$

9) Solve.

Rearrange and isolate the variable to find each solution.

$x=2\\x=-\frac{1}{2}$

7 0

3 years ago

Solve for 2cos^2theta + 13costheta = -6. theta is >= 0 and < 360 degrees

LiRa [457]

$\\ 2cos^2 \theta+13cos \theta=-6 \\ 2cos^2 \theta+13cos \theta+6=0 \\ 2cos^2 \theta+12cos \theta+1cos \theta+6=0 \\ 2cos \theta(cos \theta+6)+1(cos \theta+6)=0 \\ (2cos\theta +1)(cos\theta+6)=0 \\$

$cos\theta+6=0 \\ cos\theta=-6 \\ \\ cos(x)=|a| \leq 1 \\ |-6| \geq 1 \\ \\$

$2cos \theta+1=0 \\ 2cos \theta=-1 \\ cos \theta=- \frac{1}{2} \\ \theta= \frac{ 2\pi }{3} +2 \pi k~~~k \in Z \\ \\ 0 \leq \theta \ \textless \ 360^{а} \\ 0 \leq \theta \ \textless \ 2 \pi \\ \theta = \frac{2 \pi }{3} \\ \theta = \frac{2 \pi }{3} , \frac{4 \pi }{3}$

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3 years ago