Answer:it will take 9 days for both actors to charge the same amount.
Step-by-step explanation:
Let x represent the number of days it will take the cost of hiring either actor A or actor B to be the same.
Let y represent the cost of hiring actor A for x days.
Let z represent the cost of hiring actor B for x days.
Actor A is offering her services for initial $250 in addition to $40 per day. It means that
y = 250 + 40x
Actor B is offering her services for an initial $160 in addition to $50 per day. It means that
z = 160 + 50x
To determined the number of days when both costs would be the same, we would equate equation y to equation z. It becomes
250 + 40x = 160 + 50x
50x - 40x = 250 - 160
10x = 90
x = 90/10 = 9
Answer:
y=-9/5x-41/5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-10)=-9/5(x-1)
y+10=-9/5(x-1)
y=-9/5x+9/5-10
y=-9/5x+9/5-50/5
y=-9/5x-41/5
Answer:
10
Step-by-step explanation:
Use Pythagorean theorem,
Base² + altitude²= hypotenuse²
8² + altitude² = (2√41)²
64 + altitude² = 2²*(√41)² {(√41)² = √41*√41 = 41}
64 +altitude² = 4 * 41
64 +altitude² = 164
altitude² = 164 - 64
altitude² = 100
altitude = √100 = 10
Answer:
the dog had lost 4.8
Step-by-step explanation:
To find a percentage of a number, you just need to multiply the percentage by that number.
Percentages must be converted into decimal form before any work can take place. We can do that by either dividing the percentage by 100, or (my personal shortcut) by just shifting the decimal point to the left two places.
276% = 2.76
Then, we just need to multiply.
2.76 * 8 = 22.08
Since the question requires the answer in fraction form, we need to convert 22.08 to a mixed number. This mixed number would be 22 2/25
276% of 8 in fraction form is 22 and 2/25.
Hope this helped =)