Answer:
width= 75 cm
Step-by-step explanation:
We need to recall the formula to calculate the area of a rectangle, since we are dealing with a rectangular window:
Area of rectangle = width * length
therefore, since they give us the window's area: 6525
, and also the window's length: 87 cm, we just need to replace those values in the area formula and solve for the unknown "width". We do such by dividing both sides of the equation by 87 cm in order to isolate the unknown on one side of the equal sign;
![6525cm^2 =87cm*width\\\frac{6525cm^2}{87cm} =width\\width=75cm](https://tex.z-dn.net/?f=6525cm%5E2%20%3D87cm%2Awidth%5C%5C%5Cfrac%7B6525cm%5E2%7D%7B87cm%7D%20%3Dwidth%5C%5Cwidth%3D75cm)
We need to distribute 7/8 of a gallon into cups of 1/16 of a gallon. It means that to know the number of cups, we need to divide 7/8 into 1/16.
So, let's remember how to make a division between two fractions:
![\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot d}{b\cdot c}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%7B%5Cfrac%7Bc%7D%7Bd%7D%7D%3D%5Cfrac%7Ba%5Ccdot%20d%7D%7Bb%5Ccdot%20c%7D)
Then, the division of 7/8 into 1/16 is equal to:
![\frac{\frac{7}{8}}{\frac{1}{16}}=\frac{7\cdot16}{8\cdot1}=\frac{112}{8}=14](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B7%7D%7B8%7D%7D%7B%5Cfrac%7B1%7D%7B16%7D%7D%3D%5Cfrac%7B7%5Ccdot16%7D%7B8%5Ccdot1%7D%3D%5Cfrac%7B112%7D%7B8%7D%3D14)
Therefore, he gets 14 cups of blue paint.
Answer: 14 cups
Hi There!
Question - Which pair of transformation compositions is COMMUTATIVE?
Answer - D) translation-reflection
Hope This Helps :)
Answer:
16,807
Step-by-step explanation:
![\frac{7^4}{7^9}\\\rightarrow \frac{x^a}{x^b}=x^{a-b}\\=7^{4-9}\\=7^{-5}\\\rightarrow a^{-b}=\frac{1}{a^b}\\=\frac{1}{7^5}\\7^5=16807\\= 16807](https://tex.z-dn.net/?f=%5Cfrac%7B7%5E4%7D%7B7%5E9%7D%5C%5C%5Crightarrow%20%5Cfrac%7Bx%5Ea%7D%7Bx%5Eb%7D%3Dx%5E%7Ba-b%7D%5C%5C%3D7%5E%7B4-9%7D%5C%5C%3D7%5E%7B-5%7D%5C%5C%5Crightarrow%20a%5E%7B-b%7D%3D%5Cfrac%7B1%7D%7Ba%5Eb%7D%5C%5C%3D%5Cfrac%7B1%7D%7B7%5E5%7D%5C%5C7%5E5%3D16807%5C%5C%3D%2016807)
Answer:
Step-by-step explanation:
1.85714285714