Express the measure in standard notation 4ft 22in

So first you have to get 3.4% more vehicles from 975 you do this by multiplying 975 by .034 , which equals 33.15 but we will round to 33 . After that you add 33 to 975 and you get 1,013. Now you have to add 3.4% again because the problem says it happens every year so 1,008 multiplied by .034 equals 34.272 but we will round to 34. So now adding the 34 to 1,008 you get 1,042. The answer is C , 1,042 vehicles.

7 0

3 years ago

Mrs. Johnson’s class sold cookies for $2.50 each and Mr. Smith’s class sold popcorn for $1.50 each. Together, the classes sold 5

sashaice [31]

Answer:

(a) Mrs. Johnson’s class sold 26 cookies, Mr. Smith’s class sold 27 popcorn.

(b) Mrs. Johnson’s class earned $\$65.$ Mr. Smith’s class earned $\$40.5.$ Hence, Mrs. Johnson’s class earned more.

(c) Mrs. Johnson’s class earned $\$24.5$ more.

Step-by-step explanation:

Let x be the number of cookies Mrs. Johnson’s class sold and y be the number of popcorn Mr. Smith’s class sold.

(a) If Mrs. Johnson’s class sold x cookies for $2.50 each, then they earn $2.50x. If Mr. Smith’s class sold y popcorn for $1.50 each, then they earn $1.50y. In total, $2.50x+$1.50y=$105.50.

Together, the classes sold 53 items, then x+y=53.

You get the system of two equations:

$\left\{\begin{array}{l}x+y=53\\ \\2.5x+1.5y=105.5\end{array}\right.$

Solve it

$\left\{\begin{array}{l}x+y=53\\ \\2.5x+1.5y=105.5\end{array}\right.\Rightarrow \left\{\begin{array}{l}x=53-y\\ \\2.5(53-y)+1.5y=105.5\end{array}\right.,$

$132.5-2.5y+1.5y=105.5,\\ \\132.5-105.5=2.5y-1.5y,\\ \\y=27,\\ \\x=53-27=26.$

(b) Mrs. Johnson’s class earned $\$2.50\cdot 26=\$65.$ Mr. Smith’s class earned $\$1.50\cdot 27=\$40.5.$ Hence, Mrs. Johnson’s class earned more.

(c) Mrs. Johnson’s class earned $\$65-\$40.5=\$24.5$ more.

8 0

3 years ago