Answer:
The actual distance between the two houses is:
3.2 km
Step-by-step explanation:
Proportions:
1cm ⇔ 100000 cm
3.2 cm ⇔ W cm
W = 3.2*100000/1
W = 320000 cm
1 km = 100000 cm
320000cm = 320000/100000 = 3.2km
Answer:
4(x+2) / 5(x-1)
Step-by-step explanation:
We have given two expressions.
2x / x-1 expression I
5x / 2x+4 expression II
we have to find the quotient of expression I and expression II.
(2x / x-1 ) ÷ (5x / 2x+4)
Applying following rule:
a ÷ b = a× 1/b
(2x/x-1)×( 2x+4 / 5x)
(2x)(2x+4) / (x-1)(5x)
(2)(2)(x+2) / (x-1)(5)
4(x+2) / 5(x-1) which is the answer of given question.
Hi,
Essentially, we are saying that Alyssa gets 5 parts of the whole thing (140,000), Bart gets 3 parts of the whole and Meghan gets 2 parts of the whole. The sum total of their parts = the whole. So now we need to find out how much one part is. Thus,"one part" should be the variable. Substitute p for "one part", so Alyssa gets 5p, Bart gets 3p, and Meghan gets 2p. Since the sum of the parts = the whole, your problem sets up as: 5p + 3p + 2p = 140,000 --> 10p = 140,000 --> 10p/10 = 140,000/10 --> x = 14,000.
Alyssa gets 5p or (5 x 14,000)
Bart gets 3p or (3 x 14,000)
Meghan gets 2p or (2 x 14,000)
If the whole was a loss, it would be a negative, and instead of getting money, they would lose money.
Answer:
a) distance traveled is 16 miles.
b) distance traveled is 40 miles.
Step-by-step explanation:
Speed is a scalar quantity which describe the rate of distance moved with time.
i.e speed = 
Given that: distance = 2 1/3 miles = 
miles, time = 3 1/2 minutes = 
minutes.
Then;
speed = ÷
= x 
= 
The car's steady speed is 0.67 miles per minute.
a) when the time is 24 minutes, the distance covered can be determine by:
distance = speed x time
= x 24
= 16
distance traveled is 16 miles.
b) When the time is 1 hour (60 minutes), the distance traveled can be determined by:
distance = speed x time
= x 60
= 40
distance traveled is 40 miles.
Answer:
(3x + 1) (2x + 1)
Step-by-step explanation:
ax² + bx + c can be factored using the AC method:
1. Multiply a and c.
2. Find factors of ac that add up to b.
3. Divide each factor by a; reduce the fractions.
4. The denominator is the coefficient, the numerator is the constant.
6x² + 5x + 1
1. ac = 6 × 1 = 6
2. Factors of 6 that add up to 5: 2 and 3.
3. 2/6 = 1/3, and 3/6 = 1/2
4. The factors are 3x+1 and 2x+1.
6x² + 5x + 1 = (3x + 1) (2x + 1)
