Write an equation and solve for the unknown number.
Twice a number, increased by 3 is 7
Let's call the unknown number "x".
The equation representing the given information is:
2x + 3 = 7
To solve for x, we need to isolate it on one side of the equation.
Subtracting 3 from both sides:
2x = 7 - 3
2x = 4
Dividing both sides by 2:
x = 4/2
Simplifying:
x = 2
Therefore, the unknown number is 2.
In Atlanta, the temperature was -2 f in the morning in the winter. There was a winter storm, and the temperature dropped 10 degrees. What is the temperature now?
To find the temperature after it dropped 10 degrees, we need to subtract 10 from the original temperature.
-2°F - 10°F = -12°F
Therefore, the temperature now is -12°F.
A mountain climber a climb at an elevation of 380 ft. above sea level. At his first rest stop he has climbed 182 ft, and by his second rest stop he has climbed another 208 ft. It is getting late in the day, so the climber starts his way down the mountain. If the climber descends 235 ft, how much does he need to descend to return to his original starting point.
To determine how much the climber needs to descend to return to his original starting point, we need to find the total ascent and descent.
Total ascent = 182 ft + 208 ft = 390 ft
Total descent = 235 ft
To return to the original starting point, the climber needs to descend the same amount he ascended. Therefore, he needs to descend:
Total descent = Total ascent = 390 ft
So, the climber needs to descend 390 ft to return to his original starting point.
155 feet
78 feet
535 feet
235 feet
To calculate the total ascent and descent, we need to sum the positive values (ascent) and the negative values (descent).
Total Ascent = 155 ft + 78 ft + 535 ft = 768 ft
Total Descent = -235 ft
To return to the original starting point, the climber needs to descend the same amount he ascended. Therefore, he needs to descend the total ascent plus the total descent:
Total Descent = Total Ascent + Total Descent
Total Descent = 768 ft + (-235 ft)
Total Descent = 533 ft
So, the climber needs to descend 533 ft to return to his original starting point.