The answer is 22 because in order to divide fractions (in this case we would have 11 as a fraction), you need to multiply one fraction by the reciprocal of the other fraction (the flipped form of a fraction).
To find this, we would do 
* 
.
This would come to be 
, and when simplified by dividing the numerator and denominator by 9, you get 22.
let's firstly convert the mixed fraction to improper fraction, and then divide it by 4 to see what our quotient is.
![\bf \stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div 4\implies \cfrac{9}{4}\div \cfrac{4}{1}\implies \cfrac{9}{4}\cdot \cfrac{1}{4}\implies \cfrac{9}{16}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%204%2B1%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B9%7D%7B4%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B9%7D%7B4%7D%5Cdiv%204%5Cimplies%20%5Ccfrac%7B9%7D%7B4%7D%5Cdiv%20%5Ccfrac%7B4%7D%7B1%7D%5Cimplies%20%5Ccfrac%7B9%7D%7B4%7D%5Ccdot%20%5Ccfrac%7B1%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B9%7D%7B16%7D)
The two inequalities that represents the constraints for the art studio classes per week are:
x + 1.5y = 40
35(x + y) > 1,000
<h3>What two inequalities represent the constraints?</h3>
Here are inequalities signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
= means equal to
The inequality that represents the total hoursthe art studio is open would be an equal to sign. This is because the store is open for a maximum of 40 hours.
The inequality that represents the total earnings would be represented with a greater than sign because the studio earns more than $1000 weekly.
To learn more about inequality, please check: brainly.com/question/5031619
Answer:
Example Cube Roots: The 3rd root of 64, or 64 radical 3, or the cube root of 64 is written as 3√64=4. The 3rd root of -64, or -64 radical 3, or the cube root of -64 is written as 3√−64=−4. The cube root of 8 is written as 3√8=2. The cube root of 10 is written as 3√10=2.154435.
Step-by-step explanation:
If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units. If you mean the bases of the triangles then the area is 170 sq. units.
If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:
10² + b² = 12²
100 + b² = 144
b² = 44
b = √44 = 6.6
This means we have two triangles and a rectangle. The area of the rectangle is 5(10) = 50 sq. units. The area of each triangle is 1/2(6.6)(10) = 33. Adding all 3 together we have:
50+33+33 = 116 sq. units.
If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:
50+60+60 = 170 sq. units.
