Answer:
7x-2
Step-by-step explanation:
9(x+3)-(2x+5)
9x+3 -2x -5
7x-2
Answer:
<h3>
The father is 40 and the daughter is 20.</h3>
Step-by-step explanation:
x - the present age of the daughter
2x - the present age of the fathter
x - 10 - the age of the daughter ten year ago
2x - 10 - the age of the fathter ten year ago
Father is older than his dauther, so:
2x - 10 = (x - 10) + 20
2x - 10 = x - 10 + 20
2x - 10 = x + 10 {subtract x from both sides}
x - 10 = 10 {add 10 to both sides}
x = 20
2x = 2·20 = 40
Answer: The lamppost is 7 feet 2 inches
Step-by-step explanation: If Ann measured her own height and her shadow, then what she used is a ratio between both measurements. If she can measure the shadow of the lamppost, then she can use the same ratio of her height and it’s shadow to derive the correct measurement of the lamppost.
If Ann’s height was measured as 5 feet 3 inches, and her shadow was 8 feet 9 inches, the ratio between them can be expressed as 3:5.
Reduce both dimensions to the same unit, that is, inches. (Remember 12 inches = 1 foot)
Ratio = 63/105
Reduce to the least fraction
Ratio = 3/5
If the height of the lamppost is H, then
H/144 = 3/5
H = (144 x3)/5
H = 86.4
Therefore the lamppost is approximately 86 inches, that is 7 feet and 2 inches tall.
Use cymath it gives you the math answers but the answer is x=74
Answer:
25 mpg
Step-by-step explanation:
We have a set of values 19, 21, 22, 28 and 18
The average (which is the mean of the set of values ) is :
19 + 21 + 22 + 28 + 18 = 21.6 mpg out of the government requirement
So we need a value such as the mean become at least 25 mpg
We have to solve the equation:
(19+21+22+28+ x)/ 5 = 25
(90 + x ) /5 = 25 ⇒ 90 + x = 125 ⇒ x = 35 mpg
If we get the mean of the set of values including 35 we have:
(19 +21+ 22+ 28 + 35 ) / 5 = 25 mpg government requirement