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3 years ago

11

Determine whether y varies directly with x. If so, find the constant of variation k. –5y = 5x + 10 a. yes;1 b. no c. yes; –5 d.

yes; 5

1 answer:

brilliants [131]3 years ago

7 0

A -5-10=5/5=1 x =1 iiiiiiiiiiiiiiiiiiiiiiiiiii

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How many times does 56 go into 160

aksik [14]

Hello!

160÷56= 2.86
You can figure out how many times a number goes into another number by dividing the bigger number by the smaller number.

Hope that made sense!

5 0

4 years ago

Please help itz year 8 maths

mariarad [96]

We need a 2 and a 3 to produce a six. Because we are dividing by " $2^{4}*3^{2}$ "...

We need a " $2^{5}*3^{3}$ " in the numerator.

In this way, x+y = 5+3 = 8.

answer: 8

5 0

4 years ago

the perimeter of a rectangle can be found by using the formula P=21+2w. What is the width of the rectangle if the perimeter is 1

mixas84 [53]

$\begin{gathered} P=2l+2w \\ \text{If l=50 and P=100, then:} \\ 100=2(50)+2w\Rightarrow0=2w\text{ !!!!} \end{gathered}$

Since this can't happen, let's suppose that P=150, then:

$\begin{gathered} P=2l+2w \\ \Rightarrow150=2(50)+2w \\ \Rightarrow150=100+2w \end{gathered}$

Now we have to move the 100 to the other side of the equation with a negative sign to get this:

$\begin{gathered} 150=100+2w \\ \Rightarrow150-100=2w \\ \Rightarrow50=2w \end{gathered}$

Finally, to get w, we move the 2 that's multiplying to the other side dividing the 50:

$\begin{gathered} 50=2w \\ \Rightarrow\frac{50}{2}=w \\ \Rightarrow w=25 \end{gathered}$

Therefore, the width of the rectangle would be 25 ft if the perimeter is 150ft, and we can see how the rectangle would look:

6 0

2 years ago

A group of people were asked if they had run a red light in the last year. 385 responded "yes", and 472 responded "no".

Dimas [21]

Answer:

44.9%

Step-by-step explanation:

you can find the probability by dividing the total number of people by the number of people who have run a red light:

385/857

simplify into a decimal:

0.449

convert into a percent to get your answer:

44.9%

3 0

3 years ago

Find sin2a if sina=3/5 and a is in quadrant 2

LenKa [72]

Sin(a)= $\frac{3}{5}$

To find sin(2a) = 2*sin(a)*cos(a), we ned to find cos(a)

We know that,

sin²(a) + cos²(a) = 1

cos(a) = $\sqrt{( 1- sin^2 a)}$

cos(a) = $\sqrt{1- ( \frac{3}{5} )^2} = \sqrt{1- \frac{9}{25}} = \sqrt{ \frac{16}{25}} = \frac{4}{5}$

Thus, cos(a) = +- $\frac{4}{5}$

We know a is in second quadrant and thus cos(a) is - $\frac{4}{5}$ because cosine is always negative in the second quadrant.

Therefore,

sin(2a) = 2*sin(a)*cos(a) = $2* \frac{3}{5} * \frac{-4}{5} = \frac{-24}{25}$

5 0

3 years ago