How do I solve this 8x<64

Martin charges $10 for every 5 bags of leaves he rakes. Last weekend he raked 24 bags of leaves. How much money did he earn?

julsineya [31]

Martin charged $10 for every 5 bags
10/5 = 2
Martin charges $2 per bag
He raked 24 bags of leaves
24 x 2 = 48

Martin earned $48 dollars

hope this helps

8 0

3 years ago

The distance between B and C

alina1380 [7]

Answer:

The answer is

<h2> $\sqrt{13} \: \: or \: \: 3.6055 \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

B ( 3 , 1 ) and C( 6 , 3)

The distance between them is

$|BC| = \sqrt{( {3 - 6})^{2} + ({1 - 3})^{2} } \\ = \sqrt{ ({ - 3})^{2} + ( { - 2})^{2} } \\ = \sqrt{9 + 4}$

We have the final answer as

$\sqrt{13} \: \: or \: \: 3.6055 \: \: units$

Hope this helps you

5 0

3 years ago

Triangles EFG and QRS are similar. The lengths of the sides of EFG are 72, 64, and 56. The length of the smallest side of QRS is

blsea [12.9K]

Answer:

$180\ units$

Step-by-step explanation:

we know that

If triangles EFG and QRS are similar

then

the scale factor is equal to the measure of the smallest side of triangle QRS divided by the smallest side of triangle EFG

so

Let

x-------> the smallest side of triangle QRS

y-------> the smallest side of triangle EFG

z-------> the scale factor

we have

$x=140\ units, y=56\ units$

substitute the values

$z=\frac{140}{56}$

$z=2.5$

Find the length of the longest side of QRS

The length of the longest side of QRS is equal to multiply the scale factor by the length of the longest side of EFG

so

$2.5*72=180\ units$

7 0

3 years ago

Read 2 more answers

A rectangle with vertices L(3, –1), M(3, –8), N(8, –8), and O(8, –1) is reflected over the y-axis.

Katen [24]

i dont know if you can see it

7 0

3 years ago

4 - 5/2 * (1/10x) = 1 what is the value of x

Inga [223]

$4 - 5 / 2 * (1/10x) = 1\\$

The first step is to identify the order in which the equation must be solved, by following PEMDAS (you might know it as BEDMAS):

Parenthesis (or Brackets)

Exponents

Multiplication and Division

Addition and Subtraction

My advice would be to add parenthesis, following these rules, if you are not very good at finding them immediately by sight.

So:

$4 - 5 / 2 * (\frac{1}{10x}) = 1\\\\4 - [(5/2)*(\frac{1}{10x})]=1\\\\4-(2.5*\frac{1}{10x})=1\\\\4-\frac{2.5}{10x}-1=0\\3-\frac{x}{4}=0\\\frac{x}{4}=3\\x=3*4\\x=12$

We check our answer:

$x=12\\4 - [(5 / 2) * (1/10)*(x)] = 1\\4 - [(5 / 2) * (\frac{1}{10}) * (12))] = 1\\4 - [2.5 * (\frac{1}{10})*12] = 1\\4 - [(\frac{2.5}{10})*12] = 1\\4 - [(\frac{1}{4})*12] = 1\\4 - 3 = 1\\1=1$

We are right!

So, $x=12$ .

6 0

3 years ago