18 10
6 2
-
5 3
2-/3 =answer!
Tip, first cross multiple, and sicne we have negative numbers, we want to see whichever number is smaller, is the answer. If the number is positive, the number that is bigger is the answer.
To solve this equation there are many ways you can do to solve. One way is to simply substitute one variable for another.
5x = 5y - 25
X = y - 5
10y = 42 + 2x
10y = 42 + 2(y - 5)
10 y = 42 + 2y - 10
8y = 32
Y = 4.
X = y - 5
X = 4 - 5
X = -1.
P(X,y) = P(-1,4). This would be the solution or the point where they would intersect.
Answer:
190.684
Step-by-step explanation:
To find the square root of 36360, we place a bar over the numbers that we want to find their square root in pairs
, 1 
, 1 1
2, <u>9</u> 2
9 261
38, <u>0</u> 2 60
0 0
.
380, 6 26000
, 6 22800
3806, 8 320000
, 8 304480
38068, 4 1552000
,4
Which gives 190.684
3 63 60
We select the divisor to be the largest number which when squares will be equal to the largest number on the left which is 1
We have 1 * 1 = 1
We subtract it from the 3 to get 2
We add the 1's to get 2
We bring down the next pair which is 63 to form the next dividend, 263
We look for a number which will multiply itself to get 263, which is 9, we then have 29 × 9 = 261
We continue till we arrive at the vertical paired numbers which is 190.684.
Given
The figure is rotated 360° clockwise with the origin as the center of rotation. Which graph represents the rotated figure?
Answer
After the rotation of 360 degrees, a figure comes back to original position
Option A is correct
Answer:
A salad costs $2.50
A sandwich costs $4.50
A drink costs $1.25
Step-by-step explanation:
Let x represent the salad, y represent the sandwich, and z represent the drink.
Since three salads, two sandwiches, and one drink cost $17.75:
3x + 2y + z = 17.75 (1)
Since one salad, one sandwich, and three drinks cost $10.75:
x + y + 3z = 10.75 (2)
Since a salad costs twice as much as a drink:
x = 2z (3)
Multiply the equation 2 by -2 then, sum the equation 1 and equation 2:
-2x - 2y - 6z = -21.50
3x + 2y + z = 17.75
→ x - 5z = -3.75
Replace the x with 2z using equation 3:
2z - 5z = -3.75
-3z = -3.75
z = 1.25
x = 2z → x = 2.50
x + y + 3z = 10.75 → 2.50 + y + 3.75 = 10.75 → y + 6.25 = 10.75 → y = 4.50
