Answer:
Each shelter would get 121 blankets
And there would be 5 blankets left over
Step-by-step explanation:
One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh winter months. They plan on distributing them to all 7 of the local shelters. How many blankets will each shelter get? Will there be any leftover? If so, how many?
From the above question
7 local shelters = 852 blankets
1 local shelters = x blankets
Cross Multiply.
7x = 852 blankets
x = 852 blankets/7
x = 121 5/7 blankets
Therefore, Each shelter would get 121 blankets
And there would be 5 blankets left over
Answer/Step-by-step explanation:
1. m<UTV = m<RTS = 85°
Reason: Definition of vertical angles.
Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.
2. m<R + m<S + m<RTS = 180°
Reason: sum of interior angles of a ∆.
3. 3x + 2x + 85° = 180°
Reason: Substitution
4. x = 19
Reason: Algebra
Solving the equation algebraically, we would have the following:
3x + 2x + 85° = 180°
Add like terms
5x + 85 = 180
5x = 180 - 85 (subtraction property of equality)
5x = 95
Divide both sides by 5
x = 19
Answer:
58
Step-by-step explanation:
range = largest number - smallest number
Answer:
<em>$4.15</em>
Step-by-step explanation:
Let the cost of a cheeseburger be x
Let the cost of a soft pretzels be y
If Mr. Smith goes to the concession stand and buys 2 soft pretzels and 1 cheeseburger for $8.25, this is expressed as;
x + 2y = 8.25 .... 1
Also, if Mr. Martin goes to the same concession stand and buys 1 soft pretzel and 3 cheeseburgers for $13.50, this is expressed as;
3x + y = 13. 50..... 2
The required equations are:
x + 2y = 8.25
3x + y = 13. 50
Find x and y by solving simultaneously:
From 1: x + 2y = 8.25
x = 8.25 - 2y ..... 3
Substitute 3 into 2
3(8.25-2y)+y = 13.50
24.75 - 6y+y = 13.50
24.75 - 5y = 13.50
-5y = 14.50 - 24.75
-5 y = 10.25
y = -10.25/-5
y = 2.05
Since x = 8.25 - 2y
x = 8.25 - 2(2.05)
x = 8.25 - 4.1
x = 4.15
<em>Hence the cost of a cheesburger is $4.15</em>
Answer:
Step-by-step explanation:
Given points:
1. Find the slope
The slope of a line between two points equals the change in the points' y-coordinates (rise) over the change in their x-coordinates (run).
The coordinates of point 1 are:
The coordinates of point 2 are:
To find the slope, plug the points' x and y-coordinates into the formula and combine to simplify: