Answer:
−
3/
x
−
4 <
x
<
4
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
sin theta = opposite side / hypotenuse
sin 53 = 4/x
Multiply each side by x
x sin 53 = 4/x *x
x sin 53 = 4
Divide each side by sin 53
x sin 53 / sin 53 = 4 / sin 53
x = 4 /sin 53
x = 5.008542633
To the nearest whole number
x = 5
If the equal is 55x + 35y = 200
x: time-driven at 55 miles/hour
y: time-driven at 35 miles/hour
If the car spends 2.5 hours at 35 miles per hour, then it drove:
55x + 35(2.5) = 200
55x =35
y = 112.5
There the drive spent about 2.5-hour driving at 55 mph.
Hope it helps!
Answer:
25 and 21 hours respectively
Step-by-step explanation:
Let the number of hours worked by each welder be x and y respectively.
They worked a total of 46 hours. This means :
x + y = 46 hours.......(I)
Now, given their hourly charges, since we have the total amount of money realized, we can make an equation out of it. This means:
34x + 39y = 1669........(ii)
We then solve both simultaneously. From I, x = 46 -y
We can substitute this into ii
34(46 -y) + 39y = 1669
1564 -34y + 39y = 1669
5y = 1669 - 1564
5y = 105
y = 105/5 = 21
x = 46 - y
x = 46 - 21 = 25 hours
The numbers of hours worked by the welders are 25 and 21 respectively
Answer:
27 ft = 324 inches
Step-by-step explanation:
We want to use dimensional analysis to convert a quantity here
27 ft to inches
Mathematically;
12 inches = 1 ft
so;
x inches = 27 ft
So the number of inches will be 27 * 12 = 324 inches
