The correct answer is 90 miles per hour
Explanation:
The first step to know how fast Emily needs to drive to get 10 minutes earlier is to determine the distance from her work to her home. This can be calculated by using the information provided (speed and time). The process is shown below:
speed = distance ÷ time
distance = speed x time
distance = 60 miles per hour x 0.5 (30 minutes represent 0.5 hours)
distance= 30 miles
Now, using the same formula let's calculate the speed for 20 minutes (30 minutes - 10 minutes earlier = 20 minutes)
speed = distance ÷ time
speed = 30 miles ÷ 0.333 (20 minutes represents 0.333 hours as 20 minutes is 1/3 of an hour)
speed= 90 miles per hour
Answer:
.
Step-by-step explanation:
There seems to be a typo. You wrote 1313, but I'm assuming you meant to say the fraction 1/3. If this assumption is correct, then continue with the rest of the solution. If the assumption is not correct, then ignore what I wrote below and please provide clarification of what the "1313" should represent. Thank you.
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B = your brother's age
S = your sister's age
Y = your age
All of these ages are current present day ages.
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"your brother is 1/3 your age" so B = (1/3)Y or B = Y/3.
"Your sister is 6 years older than your brother" so S = B+6
"Your sister is 10 years old" so S = 10.
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S = B+6
B+6 = S
B+6 = 10 ... plug in S = 10
B+6-6 = 10-6 ... subtract 6 from both sides
B = 4
Your brother is 4 years old.
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B = Y/3
Y/3 = B
Y/3 = 4 .... plug in B = 4
3(Y/3) = 3*4 ... multiply both sides by 3
Y = 12
<h3>Answer: Your age is 12 years old.</h3>
note: This answer hinges on assumption that the "1313" should be "1/3".
M< 6 = m< 7 (vertical angles)
11x + 8 = <span>12x – 4
12x - 11x = 8 + 4
x = 12
so
m< 6 = </span>11x + 8
m< 6 = 11(12) + 8
m< 6 = 132 + 8
m< 6 = 140
m<4 = 180 - m<6
m<4 = 180 - 140
m<4 = 40
answer
<span>m<4 = 40</span>
The general form of the given equation is 2x+y-6 = 0.
<u>Step-by-step explanation</u>:
- The given linear equation is 2x+y=6.
- The general form of the equation is AX+BY+C=0.
where,
- A is the co-efficient of x.
- B is the co-efficient of y.
- C is the constant term.
<u>From the given equation 2x+y=6, it can be determined that</u> :
The co-efficient of x is 2. It is in the form AX = 2x. Thus, no change is needed.
The co-efficient of y is 2. It is in the form BY = 1y. Thus, no change is needed.
The constant term 6 should be replaced to the left side of the equation, since the right side of the equation must be 0 always.
While moving the constant term form one side of the equation to other side, the sign changes from +ve to -ve.
Therefore, the general form is given as 2x+y-6 = 0.
