Given:
Two similar rectangles.
To find:
The area of the larger rectangle.
Solution:
Let x be the other side of the larger rectangle.
Corresponding sides of similar figures are always congruent.
![\dfrac{x}{1}=\dfrac{4}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B1%7D%3D%5Cdfrac%7B4%7D%7B2%7D)
![x=2](https://tex.z-dn.net/?f=x%3D2)
The other side of larger rectangle is 2 cm.
We know that, area of rectangle is
![Area=Length\times Width](https://tex.z-dn.net/?f=Area%3DLength%5Ctimes%20Width)
So, area of the larger rectangle is
![Area=4\times 2](https://tex.z-dn.net/?f=Area%3D4%5Ctimes%202)
![Area=8](https://tex.z-dn.net/?f=Area%3D8)
Therefore, the area of the larger rectangle is 8 sq. cm.
This equation isn’t factorable
Maximum number of smoothies that Erica can make with the yogurt is 5
<h3><u>Solution:</u></h3>
Given that Eric has
cups of yogurt to make smoothie
Each smoothie uses
of a cup of yogurt
To find: maximum number of smoothies that Erica can make with the yogurt
Let 'n' be the number of smoothies that Erica can make with the available yogurt
number of smoothies that Erica can make with the yogurt is calculated by divinding the total available cups of yogurt by cups of yogurt needed for one smoothie
<em><u>Therefore we get:</u></em>
![$n=\frac{\text { total available cups of yogurt }}{\text { cups of yogurt needed for one smoothie }}$](https://tex.z-dn.net/?f=%24n%3D%5Cfrac%7B%5Ctext%20%7B%20total%20available%20cups%20of%20yogurt%20%7D%7D%7B%5Ctext%20%7B%20cups%20of%20yogurt%20needed%20for%20one%20smoothie%20%7D%7D%24)
total available cups of yogurt = ![1\frac{5}{9} = \frac{9 \times 1 +5}{9} = \frac{14}{9}](https://tex.z-dn.net/?f=1%5Cfrac%7B5%7D%7B9%7D%20%3D%20%5Cfrac%7B9%20%5Ctimes%201%20%2B5%7D%7B9%7D%20%3D%20%5Cfrac%7B14%7D%7B9%7D)
cups of yogurt needed for one smoothie = ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Substituting the values in above formula we get,
![\begin{aligned}&n=\frac{\frac{14}{9}}{\frac{1}{3}}\\\\&n=\frac{14}{9} \times \frac{3}{1}=\frac{14}{3}=4.66 \approx 5\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%26n%3D%5Cfrac%7B%5Cfrac%7B14%7D%7B9%7D%7D%7B%5Cfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%26n%3D%5Cfrac%7B14%7D%7B9%7D%20%5Ctimes%20%5Cfrac%7B3%7D%7B1%7D%3D%5Cfrac%7B14%7D%7B3%7D%3D4.66%20%5Capprox%205%5Cend%7Baligned%7D)
Thus maximum number of smoothies that Erica can make with the yogurt is 5
Answer:
-7 and -5
Step-by-step explanation:
-7 and -5 added together are -12, and their product is 35.
Answer:
13. 14. 15.
A.) 21 A.)-2 A.) 8
B.) 21 B.) 14 B.) 8
Step-by-step explanation:
13.
A.) 2(4)^2 - 11 = 21. B.) 2(-4)^2 - 11 = 21
* Note: if the power is a even number (2, 4, 6, and on), then the negative won't affect the answer and can be forgotten.
14.
A.)2squareroot16 - 10 = -2.
B.)2squareroot16 - 10 = 14
15.
|-3 - 8| + (-3) =8
|1/2 - 8| + 1/2 = 8