Ask question

Ask question

All categories

3 years ago

5

Use the balanced scale to find the conversion factor that can be used to convert the number of blocks to the weight of the block

s in pounds.

1 answer:

Alexandra [31]3 years ago

6 0

Find Total weight at left side

$\\ \sf\longmapsto 6(1lb)=6lbs$

Now

Per block weight at right side

$\\ \sf\longmapsto \dfrac{6}{4}=1.5lbs$

You might be interested in

Determine if x-6 is a zero and find the quotiant and the remainder

Genrish500 [490]

Answer:

○ A. No, x = -6 is not a zero of the polynomial.

The quotient is x - 29, and the remainder is 234.

Step-by-step explanation:

[x - 3][x - 20] >> Factored Form

Obviously, this is not a zero. Now, to get the remainder, we have to plug in the vertical line of <em>x = -6</em> into its conjugate, meaning an expression with opposite signs, which is <em>x + 6</em>. This is the expression we divide the dividend by, so you will have this:

\frac{{x}^{2} - 23x - 60}{x + 6}

Since the divisor is in the form of <em>x - c</em>, using Synthetic Division, we get this:

x - 29 + \frac{234}{x + 6}

You see? You have <em>x - 29</em> in the quotient, and you have 234 as the numerator remainder.

I am joyous to assist you anytime.

5 0

3 years ago

Find the distance between the points (-10,-7) and (2,9).

soldier1979 [14.2K]

20 (units)

Distance formula is:

Sqrt of (x-x1)^2+(y-y1)^2

So define which coordinate is (x,y) and what (x1,y1)

I’m going to define (-10,-7) as (x,y) and (2,9) as (x1,y1)

So plug in your variables!

Sqrt(-10-2)^2+(-7-9)^2

Sqrt-12^2+-16^2

Sqrt144+256

Sqrt400

So sqrt of 400 is 20! :))

3 0

3 years ago

Which choice is equivalent to the expression below? square root of negative 20

morpeh [17]

Answer:

B

Step-by-step explanation:

The expression can be written as

$\sqrt{-20}$

The - can be taken out from under the radicand and a 2 can be factored out of the expression to leave you with the expression

$2i\sqrt{5}$

7 0

3 years ago

Read 2 more answers

Derek has a bank account that pays 2.1% simple interest. The balance is $910. When will the account grow to $1,000?

swat32

Answer:

The account will grow to 1,000 in 5 years.

Step-by-step explanation:

Since the account will become 1000, the interest is 90 dollars. I=p*r*t.

90=910*.021*t

90=19.11*t.

t=4.71, so it will take 5 whole years.

3 0

2 years ago

Stella graphs the equation y=1/3x – 2

faltersainse [42]

we have

$y=\frac{1}{3}x-2$

<u>Statements</u>

<u>case A)</u> The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

<u>case B)</u> The line passes through the origin.

The statement is False

Because the point $(0,0)$ is not a solution of the equation

Verify

Substitute the value of x and y in the equation

$0=\frac{1}{3}*0-2$

$0=-2$ ------> is not true

the point $(0,0)$ is not a solution

therefore

The line does not pass through the origin

<u>case C)</u> The line passes through the point $(0,-2)$

The statement is True

Because the point $(0,-2)$ is a solution of the equation

Verify

Substitute the value of x and y in the equation

$-2=\frac{1}{3}*0-2$

$-2=-2$ ------> is true

the point $(0,-2)$ is a solution

therefore

The line passes through the point $(0,-2)$

<u>case D) </u>The slope of the line is $3$

The statement is False

Because, the slope of the line is $m=\frac{1}{3}$

<u>case E)</u> The y-intercept of the line is $2$

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For $x=0$

find the value of y

$y=\frac{1}{3}*0-2=-2$

the y-intercept is equal to $-2$

5 0

4 years ago

Read 2 more answers