Answer:
240 buns
Step-by-step explanation:
Hot dogs buns come in packages of 8.
Mr Spencer bought 30 packages of hot dog buns for the school picnic.
We have to multiply 30 packages with number of buns in one package.
He bought total number of hot dog buns = 30 × 8
= 240 buns
Mr. Spencer bought 240 hot dog buns.
14-4x=2y
A the solution is (1,5)
B the solution is (21,0)
C there an infinite number of solutions
D there is no solution
Since the value on both sides are the same, hence there are infinite number of solution for the system of equation
Given the system of equations expressed as:
Y+2x=7
14-4x=2y
Using the substitution method.
From equation 1, y = 7 - 2x
Substitute into equation 2
14-4x = 2(7 - 2x)
Expand
14 - 4x = 14 - 4x
0x = 0
Since the value on both sides are the same, hence there are infinite number of solution for the system of equation
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Answer:
2/3 in
Step-by-step explanation:
We can use ratios to solve this problem.
1/4 inch x inches
-------------- = ---------------------
3 /8 ft 1 ft
Using cross products
1/4 * 1 = 3/8 * x
Multiply each side by 8/3 to isolate x
1/4 * 8/3 = 3/8*8/3 x
2/3 = x
Answer:
(9,7)
Step-by-step explanation:
F(a)=b means the point (a,b) is on the graph of F
The point that is on the graph of the function f, given f(9)=7, is (9, 7). This results because 9 is the input (x-coordinate) and 7 is the output (y-coordinate) of the function.
In mathematics, particularly in graphing functions, each point on the graph of a function f is represented by an ordered pair: the input (x-coordinate) and the output (y-coordinate). When you are given that f(9)=7, this essentially means that when the input is 9, the output is 7. Therefore, the point that is on the graph of the function f is (9, 7).
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A.Parallel
B.Perpendicular
C.Neither
The given lines are perpendicular to each other because there slope are negative reciprocals of each other.
What is the point slope form of a line ?
Point slope form is used to represent a straight line using its slope and a point on the line.
The line passes through two points which are (-2,1) and (4,9). The other line passes through points which are (-3,8) and (5,2).
We know that the equation of a linein point slope form is given by :
(y - y1) = m (x - x1)
For the first line : (x , y) = (-2 , 1) and (x1 , y1) = (4 , 9)
So ,
(1 - 9) = m (-2 - 4)
-8 = m × -6
m = 8/6
For the other line : (x , y) = (-3 , 8) and (x1 , y1) = (5 , 2)
So,
(8 - 2) = m (-3 - 5)
6 = m × -8
m = -6 / 8
We know that if two lines are perpendicular then , there slopes are negative reciprocals of each other. i.e.,
8/6 can be written as :
= -1/(8/6) = -6/8
The lines are perpendicular to each other.
Therefore , the first line and second line are perpendicular to each other because there slope are negative reciprocals of each other.
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Answer:
Perpendicular
Step-by-step explanation:
khan academy
In order to solve for the time, we use the following formula:
Time = Distance divided by Rate
- Distance is how far location A is from location B
- Rate is the speed of the vehicle when it is travelling
Hence, we get the below solutiom:
Time = 395.1mi divided by 79mph
Time = 5 hours
Answer:- Time taken to reach Tennessee = 5 hours.
Explanation:-
Given: Speed of train traveling from new Orleans to Memphis=79 mph
Distance between new Orleans and Tennessee= 395.1 miles
To find time taken to reach Tennessee
We know that
Therefore,time taken to reach Tennessee = 5 hours.