Answer:
42m/s
Step-by-step explanation:
acceleration = speed/time
7.0 = s/6.0
42.0m/s = speed
Answer:
78
Step-by-step explanation:
Interchanging the digits of a 2-digit number changes the value by a multiple of 9. The multiple is the difference between the digits of the number.
So, we have two digits that add to 15, and have a difference of 9/9 = 1. Since you're familiar with your addition facts, you know that the two digits are 7 and 8. Since the number we're looking for is the smallest of the numbers you can make with those digits, ...
the original number is 78.
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More formally, let t and o represent the tens and ones digits of the original number.
t + o = 15 . . . . . . the sum of digits is 15
(10o +t) - (10t +o) = 9 . . . . swapping digits increases the value by 9
The latter equation simplifies to ...
9o -9t = 9 . . . . collect terms
o - t = 1 . . . . . . divide by 9 . . . (note the difference of digits is 9/9=1)
Adding this to the first equation gives ...
(t +o) +(o -t) = (15) +(1)
2o = 16
o = 8
t = o -1 = 7
The tens digit is 7 and the ones digit is 8: 78.
Answer:
y= -3x +4
Step-by-step explanation:
If the lines are parallel, the slopes are the same
so if a line is parallel to y =3x-10, the slope is also m=3
using y= mx+b
y = 3x+b
we can pick any b but -10 because that would make it the same line
Answer:
Tom’s age is 7 years
Mary’s age is 13 years
Step-by-step explanation:
Since we do not know the ages, let’s represent the ages by variables at first.
Let m represent mary’s age will t represent Tom’s age.
Now, let’s proceed to have equations.
Adding square of Tom’s age (t^2) to mary’s age give 62
t^2 + m = 62 •••••••(i)
Adding square of mary’s age (m^2) to Tom’s age give 176
m^2 + t = 176 •••••••(ii)
Now, to get the individual ages, we will need to solve both equations simultaneously.
Solving both equations simultaneously without mathematical softwares can be a little hard.
By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.
By inputing these equations, we have the values of t to be 7 and m to be 13
And if we try to check by inspection, we can see that these values are actually correct.
7^2 + 13 = 62
13^2 + 7 = 176
Answer: 30
Step-by-step explanation:
4250/250= 17 ( 1 dollar = 17 pesos )
510/17= 30 dollars was the sweater
