Answer: $17.50.
Step-by-step explanation;
If each muffin cost her $0.25 to make and she spent $8.75 making all muffins, then you can divide this amount to find out how many muffins she made (8.75/0.25), this is 35 muffins. If she sold each muffin for $0.50, multiply the number of muffins (35) by their price ($0.50), this is $17.50. Therefore, <em>Maria received $17.50 from selling her muffins</em>.
Did you notice the little box with corners marked in the angle down at the bottom ?
That angle is a right angle, and <em>this triangle is a right triangle</em> !
This piece of information is a big help. It breaks the problem wide open.
You know that in order to find the longest side of a right triangle . . .
-- Square the length of one short side.
-- Square the length of the other short side.
-- Add the two squares together.
-- Take the square root of the sum.
One short side=48. Its square = 2,304.
The other short side=48. Its square = 2,304.
Add the two squares: 2,304 + 2,304 = 4,608
The square root of the sum = √4,608 = <em><u>67.88</u></em> (rounded)
Answer:
d = 26
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Geometry</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Radius <em>r </em>= 13
<u>Step 2: Find diameter</u>
- Substitute: d = 2(13)
- Multiply: d = 26
part a) draw two triangles, translating one of them to the right.
part b) Consider triangles ΔYXB and ΔYZA. In these triangles:
- ∠Y is common, then ∠XYB≅∠ZYA (additional information that is needed);
- ∠YXB≅∠YZA (given);
- XY≅ZY (given).
Therefore, these two triangles have two congruent angles adjacent to congruent sides. By the ASA Postulate, ΔYXB≅ΔYZA.
ASA Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.
part c) flow chart proof:
- XY≅ZY (given);
- XB≅ZA (implies);
- YB≅YA (implies).
Your question seems to be -7 +(1/8) -(-9) + (1/2) but then there is a decimal in front of the next -2 so that makes no sense unless that is a period before starting a new equation. You can simply type this beginning section into a calculator to get your answer of (21/8), but I have a feeling you just tried to copy and paste a test question and it did not format correctly in your question so is probably much more complicated than using a calculator.
A better idea would be to write it in math terms instead of words, then find a common denominator so you can simplify. Writing it out in words makes it too hard for your brain to think about it in terms of math.
