You would need to make them eliminate so I would multiply the entire first one by 2.5 to make the X's cancel out. So you would end up with -5X+7.5Y=17.5. The X's would cancel and you would be left with 15.5Y=15.5. So Y=1. Then replace Y into one of the equations. I'm going to use the top again. -2X+3(1)=7. Subtract 3 from both sides to get -2x=4. Divide both sides by negative 2 to get X=-2. So the solution would be (-2,1)
Answer:
B) 20.6 mi/hr
Step-by-step explanation:
To solve this, we need to first convert 40 meters to mile, then convert 4.35 seconds to hour, then solve by proportion.
converting 40 meters to mile;
1 mile = 1609.344 meter
x = 40 meters
1609.344x = 40
x = 40/1609.344
x =0.02485 mile
Then converting seconds to hour
1 hour = 3600 seconds
y = 4.35 seconds
3600 y = 4.35
y=4.35/3600
y =0.00121 hour
Using proportion to solve the question
Let n be the number he runs miles per hour
0.02485 mile = 0.00121 hour
n = 1 hour
cross-multiply
0.00121 n = 0.02485
Divide both-side by 0.00121
0.00121 n/0.00121 = 0.02485/0.00121
n ≈ 20.6 mile/hour
Therefore, he is running 20.6 mi/hr
Answer:
2 x 2 x 2 x 5
Step-by-step explanation:
The first few prime numbers: {2, 3, 5, 7, 11, 13, 17, 19}
One way to start is to divide by the first prime until you can't do that any more, then try the next prime and so on until all the numbers in your list are prime.
40 = 2(20) divide 20 by 2 again
40 = 2(2)(10) divide 10 by 2 again
40 = 2(2)(2)(5) stop--all factors are prime.
9514 1404 393
Answer:
1 solution
Step-by-step explanation:
The coefficients of d are different on the two sides of the equation (3d vs 6d), so the equation has one solution.
__
Dividing by 3 gives ...
d +11 = 2(d +33)
d + 11 = 2d + 66
Adding -d-66 to both sides gives ...
-55 = d . . . . . . the one solution
The number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.
<h3>How to determine the number of ways</h3>
Given the word:
ESTABROK
Then n = 8
p = 6
The formula for permutation without restrictions
P = n! ( n - p + 1)!
P = 8! ( 8 - 6 + 1) !
P = 8! (8 - 7)!
P = 8! (1)!
P = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 × 1
P = 40, 320 ways
Thus, the number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.
Learn more about permutation here:
brainly.com/question/4658834
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