Answer:
Step-by-step explanation:
Answer:
the most she can drive is 162 miles
Step-by-step explanation:
Answer:
1.) 3/4
2.) 44/5 or 8 4/5
3.) 17/6 or 2 5/6
Step-by-step explanation:
1.) 5/16 ÷ 5/12
To divide a fraction by another fraction, reciprocate (put the numerator to denominator and vice versa) the divisor then change the sign to multiplication:
5/16 × 12/5
5 × 12 / 16 × 5
Cancel out 5 since both numerator and denominator has it:
12 / 16
Divide both by 4:
12 ÷ 4 / 16 ÷ 4
3/4
2.) 3 1/5 • 2 3/4
You have to convert the fractions first to improper fractions by multiplying the denominator to the whole number then adding the numerator to the product:
3 1/5 = 3×5 + 1 = 16/5
2 3/4 = 2 × 4 + 3 = 11/4
Now you can multiply the numerator to numerator then denominator to denominator:
Since 16 is a factor of 4, you can cancel it out, which leaves 4:
16 / 5 × 11/4
4 × 11 / 5 × 1
44/ 5
3.) 6 3/8 ÷ 2 1/4
Convert to improper fraction:
6 3/8 = 6× 8 + 3 = 51/8
2 1/4 = 4 × 2 + 1 = 9/4
(51 × 4)/ (9×8)
51 × 1/ 9× 2
51 / 18
Divide by 3:
17/6
We can write this question as an equation to solve it. Using L for length and W for width we know that
L+L+W+W=perimeter
2L+2W=perimeter
We can put the value of the perimeter into this
2L+2W=156cm
Next, we have to make sure all the terms (letters) are the same so we can solve it. This means we have to rewrite either the length or width in terms of the other.
We know the width is 12cm less than the length, which is the same as saying L-12
Then we substitute this into the equation and solve L
2L+2(L-12)=156
2L+2L-24=156
4L-24=156
4L=180
L=45cm
Next we use this value to find W.
45-12=33
W=33cm
Answer:
y > 10/3 - 4x/3
Step-by-step explanation:
