Answer:
a the interest charged - $8.82
b is 608.82.
(once again sorry abt that)
Step-by-step explanation:
Answer:
45hours
Step-by-step explanation:
Given
Mary month earnings to be R(x)=13x+155
Josies monthly earning is given as Q(x)=9x+335
If Josie and Mary work to earn the same salary, then R(x) = Q(x)
13x+155 = 9x+335
subtract 155 from both sides
13x+155-155 = 9x+335-155
13x = 9x+180
subtract 9x from both sides
13x-9x = 9x+180-9x
4x = 180
x = 180/4
x = 45
Since x equals the number of hours worked by Josie and Mary, this means that Josie and Mary must work for 45hours to earn the same salary
Answer:
11340
Step-by-step explanation:
We have 10 cheerleaders of ten different heights. There are two rows each having 5 positions so that five cheerleaders occupy the first row that have height less than the five cheerleaders who occupied the second row.
Therefore, Out of ten cheerleaders, two cheerleaders will be selected out of which the tallest one will occupy the position in the upper row and the second one will occupy in the lower row, therefore these two positions will be occupied in
ways. Now, we are left with 8 cheerleaders and following the same path, the next two positions will also be occupied in
ways, similarly, following the same path, the number of ways the cheerleaders will occupy the position will be:
×
×
×
×
=11340
To calculate the distance between two points on the coordinate system you have to use the following formula:
![d=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%5B%5D%7B%28x_1-x_2%29%5E2%2B%28y_1-y_2%29%5E2%7D)
Where
d represents the distance between both points.
(x₁,y₁) are the coordinates of one of the points.
(x₂,y₂) are the coordinates of the second point.
To determine the length of CD, the first step is to determine the coordinates of both endpoints from the graph
C(2,-1)
D(-1,-2)
Replace the coordinates on the formula using C(2,-1) as (x₁,y₁) and D(-1,-2) as (x₂,y₂)
![\begin{gathered} d_{CD}=\sqrt[]{(2-(-1))^2+((-1)-(-2))}^2 \\ d_{CD}=\sqrt[]{(2+1)^2+(-1+2)^2} \\ d_{CD}=\sqrt[]{3^2+1^2} \\ d_{CD}=\sqrt[]{9+1} \\ d_{CD}=\sqrt[]{10} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B%282-%28-1%29%29%5E2%2B%28%28-1%29-%28-2%29%29%7D%5E2%20%5C%5C%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B%282%2B1%29%5E2%2B%28-1%2B2%29%5E2%7D%20%5C%5C%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B3%5E2%2B1%5E2%7D%20%5C%5C%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B9%2B1%7D%20%5C%5C%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B10%7D%20%5Cend%7Bgathered%7D)
The length of CD is √10 units ≈ 3.16 units
Answer:
X = 5/3
Step-by-step explanation:
-14 + 6x = 1 - 3x
-14 + 9x = 1
9x = 15
x = 5/3
Hope this helps! Pls give brainliest!