Answer:
graph B
Step-by-step explanation:
Given
3y - 5x < - 6
Since the inequality is < then the line must be broken
If ≤ then line would be solid
The only possible graphs are B and D
Choose a test point in the shaded region of each graph and check validity
graph B (2, 0) ← substitute into left side of inequality
0 - 5(2) = 0 - 10 = - 10 < - 6 ← this is valid
graph D (0, 0 ) ← substitute into left side of inequality
0 - 0 = 0 > - 6 ← this is not valid
Hence graph B is the correct graph
Answer:
3
Step-by-step explanation:
Here is the full question :
This sign shows admission fees and ticket prices for a museum :
General Admission: $18
Tickets to Special Exhibits $7
Tickets to Movies $6
Note: Tickets to the Special Exhibit and the Movie are in addition to the General Admission fee
The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a special exhibit ticket. How many people were in this group?
If only one person bought a special exhibit ticket, the amount spent on general admission = 61 - 7 = $54
Since everyone would have to pay the general admission ticket, we can determine the number of people in the group
number of people in the group = total amount spent on general admission / price of general admission per person
= $54 / $18 = 3
Answer:
280 cubic inches
Step-by-step explanation:
Cubic inches of foam required = volume of the box - volume of the basketball
The box has a shape of a cube, so that;
volume of the box = 
where l is the length of the sides of the box.
volume of the box = 
= 729 cubic inches
volume of the box = 729 cubic inches
The basketball has the shape of a sphere, so that;
volume of the basketball = 
= x 3.14 x 
= 448.693
volume of the basketball = 448.693 cubic inches
Thus,
cubic inches of foam required = 729 - 448.693
= 280.307
The cubic inches of foam to be used is 280 cubic inches.
Answer:
$11
Step-by-step explanation:
Let Ben has b,
sean has s
alexis has a
samantha has s
Money.
We need to write the words into equations and solve as we can.
b + s + a + s = 47
b + s = 27
b + a = 25
b + s = 23
We need to find a.
Let's put 2nd equation in first, to get:
27 + a + s = 47
a + s = 20 ---------- 5th equation
Now let's solve 4th equation for b and put it into 3rd equation:
b + s = 23
b = 23 - s
Putting in 3rd equation:
23 - s + a = 25
a - s = 2 ---------------6th equation
Now, add up 5th and 6th equation to get a:
a + s = 20
a - s = 2
-------------
2a = 22
a = 22/2 = 11
Alexis got $11
