Let x - hours Carlos drove ; Let y - hours Maria drove

Equation 1: x + y = 4.4
x = 4.4 - y

Equation 2: 55x + 50y = 233
55(4.4 - y) + 50y = 233
242 - 55y + 50y = 233
-5y = 233-242
-5y = -9
y=9/5 or 1.8 hours Maria drove

To find time Carlos drove:
x=4.4 - 1.8
x = 2.6 hours

3 0

4 years ago

Read 2 more answers

Triangle PQR has coordinates P(–8, 3), Q(–8, 6), and R(–3, 6). If the triangle is translated by using the rule (x, y) right-arro

omeli [17]

Answer:

Step-by-step explanation:

The rule (x, y ) → (x + 4, y - 6 )

means add 4 to the original x- coordinate and subtract 6 from the original y- coordinate, thus

P(- 8, 3 ) → P'(- 8 + 4, 3 - 6 ) → P'(- 4, - 3 )

Q(- 8, 6 ) → Q'(- 8 + 4, 6 - 6 ) → Q'(- 4, 0 )

R(- 3, 6 ) → R'(- 3 + 4, 6 - 6 ) → R'(1, 0 )

6 0

3 years ago

Tony has saved dimes and quarters in his piggy bank he has saved a total of four dollars and has 25 coins how many dimes does he

k0ka [10]

Answer:

15 dimes
10 quarters

Step-by-step explanation:

Let q represent the number of quarters. Then Tony's coin value is ...

0.25q +0.10(25 -q) = 4.00

0.15q +2.50 = 4.00 . . . . . . . . eliminate parentheses, collect terms

0.15q = 1.50 . . . . . . . . . . . . . . subtract 2.50

q = 10 . . . . . . . . . . . . . . . . . . . . divide by the coefficient of q

Then the number of dimes is ...

25 -10 = 15

Tony has 15 dimes and 10 quarters.

5 0

3 years ago