3*(x+5)^(1/2)=-9
(x+5)^(1/2)=-3
x+5=9
x=4
3*(4+5)^(1/2)=-9
3*(9)^(1/2)=-9
3*3=-9
4 is an extraneous solution
Answer:
Step-by-step explanation:
The average value of all the pennies, nickels, dimes, and quarters in Paula's purse is 20 cents. If she had one more quarter, the average value would be 21 cents. How many dimes does she have in her purse
For either one of the deals, just find what one card equals and times it by how many cards the other equation has.
e.g. 0.35 cents divide by 10 = 0.035. And now, you times it by 12 since the other deal is 12 cards for 40 cents.
0.035 x 12 = 0.48
So, 10 cards for 35 cents is not the better deal.
The correct answer answer 56
Answer:
3.5 inches
Step-by-step explanation:
We can rotate the figure to the left 90 degrees clockwise so that it becomes same orientation as the figure to the right.
Since they are similar figures, their corresponding sides are proportional.
The 4 inch side of left figure corresponds to 16 in side of right side figure.
The "?" inch side of left figure corresponds to 14 in side of right side figure.
We can replace "?" with "x" and setup two ratios and equate them:

Now, we can cross multiply and solve for x:

Hence,
the unknown side marked "?" is equal to 3.5 inches