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3 years ago

Suppose 6 adults produce 192 lb of garbage in one week. At this rate, how many pounds will 35 adults produce in one week?

2 answers:

5 0

6:192
we have to simplify this so we can use it in terms of adults so we need to make the left side 1, to do this we divide both sides by 6:
1:32
Now we multiply both sides by 35:
35:1120
Therefore 35 adults will produce 1120 pounds of garbage in a week.

Hope this helps :)

larisa [96]3 years ago

3 0

To get the answer you have to multiply 35 and 192 the answer is 6720

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* 9. Two fifths of what number is 120? 2/5

slava [35]

Answer:

300

Step-by-step explanation:

120 ÷ 2/5 = 300

8 0

3 years ago

Read 2 more answers

find the equation of the line using the slope formula. Write the final equation using the slope-intercept form. the x- intercept

Roman55 [17]

Answer:

$y=- 4x + 4$

Step-by-step explanation:

The slope formula for a straight line is:

$y=mx+b$

Where, 'm' is the slope and 'b' is the y-intercept.

To find the x-intercept of a line, we need to equal 'y' to zero, and then solve for 'x'. In this case we know that the x-intercept is 1, so we have the point (x1, y1)=(1,0). We are given a second point which is: (x0, y0)=(-2, 12).

To find the slope, we use the following formula:

$m = \frac{y1-y0}{x1-x0} = \frac{0-12}{1-(-2)} = -4$

Now, The equation of the line is: y - y0 = m(x-x0). Then, substituting the values of 'm', 'x0' and 'y0' we have that:

$y - 12 = -4(x+2) ⇒ y = -4x-8 + 12 ⇒ y=- 4x + 4$

The equation of the line using the slope-intercept form is:

$y=- 4x + 4$

7 0

3 years ago

Solve for 1. Your answer must be simplified. x-8<-1 Check PLS SOMEONE HELP ME

natka813 [3]

Answer:

x<7

Step-by-step explanation:

7 0

3 years ago

Quadrilateral ABCD?

Mashutka [201]

The given quadrilateral is a kite.

Given: Point A (2, 4), B (-2, -5), C (7, -1) and D (7, 4)

Firstly, we find the distance between AD and DC

AD = $\sqrt{(7 - 2)^{2} + (4 - 4)^{2} }$

⇒ AD = $\sqrt{5^{2} }$

⇒ AD = 5

DC = $\sqrt{(7 - 7)^{2} + (4 - (-1))^{2} }$

⇒ DC = $\sqrt{5^{2} }$

⇒ DC = 5

Hence, AD = DC = 5

Now, find the distance between AB and BC

AB = $\sqrt{(-2 - 2)^{2} + (-5 - 4)^{2} }$

⇒ AB = $\sqrt{(-4)^{2} + (-9)^{2} }$

⇒ AB = $\sqrt{16 + 81}$

⇒ AB = $\sqrt{97}$

BC = $\sqrt{(7 - (-2))^{2} + (-1 - (-5))^{2} }$

⇒ BC = $\sqrt{9^{2} + 4^{2} }$

⇒ BC = $\sqrt{81 + 16}$

⇒ BC = $\sqrt{97}$

Hence, AB = BC = √97

In the given quadrilateral, the two pair is of equal length and these sides are adjacent to each other.

Hence, it follows the property of kite.

For more questions on quadrilateral, visit:

brainly.com/question/23935806

#SPJ9

6 0

1 year ago

This is the result of solving an equation to find a value(s) for the variable(s)

777dan777 [17]

How the equation becomes true is given below.

Step-by-step explanation:

In an equation with one variable, the variable has a solution, or value, that makes the equation true.

An equation is a mathematical statement that asserts the equivalence of two expressions.
When an equation contains a variable, such as x , the variable is considered an unknown value.
The values of the variables that make the equation true are the solutions of the equation and can be found by solving the equation.
A solution of an equation can be verified, or checked, by substituting in its value for the variable in the equation.

For example, the assertion that “two plus five equals seven” is represented by the equation 2 + 5 =7 .

In many cases, an equation contains one or more variables. These are still written by placing each expression on either side of an equals sign ( = ). For example, the equation x + 3 = 5 , read “ x plus three equals five”, asserts that the expression x + 3 is equal to the value 5.

When an equation contains a variable such as x , this variable is considered an unknown value. In many cases, we can find the possible values for x that would make the equation true. For example, consider the equation we were talking about above: x + 3 = 5 . You have probably already guessed that the only possible value of x is 2, because you know that 2 + 3 = 5 is a true equation. We use an equals sign to show that we know the value of a given variable. In this case, we write x = 2 (read as “ x equals two”).

The values of the variables that make an equation true are called the solutions of the equation. In turn, solving an equation means determining what values for the variables make the equation a true statement.

The equation above was fairly straightforward; it was easy for us to identify the solution as x = 2

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3 years ago