Answer:
x = 26.5
Step-by-step explanation:
Step 1: Write equation
(t + 10.5) + 2t + 90 = 180
Step 2: Solve for <em>t</em>
<u>Combine like terms:</u> 3t + 100.5 = 180
<u>Subtract 100.5 on both sides:</u> 3t = 79.5
<u>Divide both sides by 3:</u> t = 26.5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
<u>Substitute:</u> (26.5 + 10.5) + 2(26.5) + 90 = 180
<u>Parenthesis:</u> 37 + 56 + 90 = 180
<u>Add:</u> 180 = 180
∴ x = 26.5
Answer: 43 cents
Step-by-step explanation: divide 6.00 by 14 which gives you around .42857
then you round to the hundredths place which gives you .43
Well, the chances are 3 to 1 in the first question, because there are three pencils and only one pen. In the second box it is a 50-50 chance that you will pick a crayon, because there are equal amounts of colored pencils and crayons in the second box. The numbers that I gave you aren't the fractions though. See if you can go from here.
A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.
