Answer:
4 minutes
Step-by-step explanation:
Let the time taken for them to have the same number of strawberries be x minutes.
<u>Initially</u>
Ruby: 10 strawberries
Sapphire: 30 strawberries
<u>After x minutes</u>
Ruby: (10 +3x) strawberries
Sapphire: (30 -2x) strawberries
Since we let x minutes be the amount of time that has passed when they have the same amount of strawberries,
10 +3x= 30 -2x
Bring all x terms to one side, constant to the other:
3x +2x= 30 -10
Simplify:
5x= 20
Divide both sides by 5:
x= 20 ÷5
x= 4
∴ It will take 4 minutes.
Area = (1/2)*base*height
45 = (1/2)*base* 10
45 = base*5
45/5 = base
9 = base
base = 9
The length of the base is 9 units.
Given:
divided by
.
To find:
The simplified form of the given expression.
Solution:
We have,
divided by
. Mathematically it can be written as:




Therefore, the simplified form of the given expression is 7.5.
Answer:
x+y=29
70x+80y=2130
x=19 and y=10
Step-by-step explanation:
the amount of tickets he sold is 29 which includes VIP and general admission tickets so the number of tickets sold for each would be x+y=29.
the price for general admission is 70$ and VIP is 80$. the profit from the tickets is 2130$ so that would be the number of general tickets (x) times the price (70) and the number of VIP tickets (y) times the price (80) so that would be 80y. therefore you're equation would be 70x+80y=2130. that is your system of equations.
To figure out the number of tickets for each: Solve x+y=29 for x:
x+y=29
x+y+−y=29+−y(Add -y to both sides)
x=−y+29
Substitute−y+29 for xi n70x+80y=2130:
70x+80y=2130
70(−y+29)+80y=2130
10y+2030=2130 (Simplify both sides of the equation)
10y+2030+−2030=2130+−2030 (Add -2030 to both sides)
10y=100
10y/10=100/10 (Divide both sides by 10)
y=10
Substitute 10 for y in x=−y+29:
x=−y+29
x=−10+29
x=19 (Simplify both sides of the equation)
Answer: x=19 and y=10
Answer:
d. 147 degrees
Explanation:
Please check the picture attached after reading the explanation :)
Assuming that l1 and l2 are parallel, we can identify that the angle at the intersection point of l3 and l2 is the alternate exterior angle of the angle that measures 57 degrees.
This means that that angle also measures 57 degrees.
We can see that l2, l4 and l3 form this little triangle at the corner and we now know that one of its angles measure 90 degrees and the other measures 57 degrees.
In a triangle, the sum of all its interior angles is equal to 180 degrees so we can find the last angle of the triangle by subtracting 90 and 57 from 180.
180-57-90
=33 degrees
A straight lines has an angle measure of 180 degrees as well, so we can find angle x by subtracting 33 from 180.
180-33
=147
Therefore, the measure of angle x is 147 degrees.
I hope this helps!