Answer:
Step-by-step explanation:
A dime is worth 10 cents. Converting to dollars, it becomes 10/100 = $0.1
A quarter is worth 25 cents. Converting to dollars, it becomes 25/100 = $0.25
Let x represent the number of dimes that Jayden has.
Let y represent the number of quarters that Jayden has.
Jayden has some dimes and some quarters. He has at most 25 coins. It means that
x + y ≤ 25
The coins worth at least $4.60 combined. It means that
0.1x + 0.25y ≥ 4.6 - - - - - - - - - - 1
If Jayden has 7 dimes, then
7 + y ≤ 25
y ≤ 25 - 7
y ≤ 18
Substituting x = 7 into equation 1, it becomes
0.1 × 7 + 0.25y ≥ 4.6
0.7 + 0.25y ≥ 4.6
0.25y ≥ 4.6 - 0.7
0.25y ≥ 3.9
y ≥ 3.9/0.25
y ≥ 15.6
All possible values for the number of quarters that he could have would be
15.6 ≤ y ≤ 18
Answer:
the square rug will cover 0.33 square feet more
Step-by-step explanation:
The area of a rectangle is the product of its length and width. The area of the rectangular rug is ...
(4.8 ft)(8.2 ft) = 39.36 ft^2
Similarly, the area of the square rug is ...
(6.3 ft)(6.3 ft) = 39.69 ft^2
The square rug has the larger area by ...
39.69 -39.36 = 0.33 . . . square feet
Divide the speed in kmph by 1.6 to get miles per hour.
110 / 1.6 = 68.75 miles per hour
Multiply the speed by the time.
68.75 x 5 = 343.75 miles in 5 hours.
Answer:
Step-by-step explanation:
<u>Find the percentage of $133.60 of $167.00:</u>
Answer:
(a, b, c, d) = (-12, 2, 8, 6)
Step-by-step explanation:
Put the value where x is in the equation and do the arithmetic.
When evaluating polynomials by hand, it often works well to factor an x from the terms containing x:
... y = x(3 -x) +6
x = -3: y = (-3)(3 -(-3)) +6 = -3(6) +6 = -18 +6 = -12 (a)
x = -1: y = (-1)(3 -(-1)) +6 = -1(4) +6 = -4 +6 = 2 (b)
x = 2: y = 2(3 -2) +6 = 2+6 = 8 (c)
x = 3: y = 3(3 -3) +6 = 0 +6 = 6 (d)
