Answer:
90000
Step-by-step explanation:
9 x 10 (to the power of 4)
move the zeros to the right side four time, because the power of 4 is positive.
Answer:
(-1, 3)
Step-by-step explanation:
The given equation is 2x + y = 5.
Test whether (-1, 3) is a solution. To do this, substitute -1 for x and 3 for y. Does 2(-1) + 3 = 5? No, it does not. So this could be the correct answer choice.
Test whether (6, -7) is a solution. Is 2(6) - 7 = 5 true? Yes, it is. So this is not a correct choice.
Test whether (3, -1) is a solution. Is 2(3) -1 = 5? Yes, it is. So this is not a correct choice.
Summary: The only answer choice that does NOT satisfy the given equation is the first one: (-1, 3).
Answer:
300
Step-by-step explanation:
Let x = cost of desktop computer; then x - 250 = cost of laptop computer
converting % to decimals, 9% = 0.09 and 6% = 0.06
Then, 0.09x + (x - 250)0.06 = $300
0.09x + 0.06x - 15 = $300
0.15x = $315
x = $2100
then x - 250 = $1850
Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300
Answer:
48.5
Step-by-step explanation:
The constant of proportionality in this case is the speed at which Andrew travels.
We know that the speed is equal to:
v = d / t
We know the distance that is 145.5 miles and the time is 3 hours, replacing:
v = 145.5 / 3
v = 48.5 mi / h
which means that the equation would be:
y = k * x
where k, that is, the constant of proportionality is the velocity 48.5.
y = 48.5 * x
To check if for example x is worth 3, it would be:
y = 48.5 * 3
y = 145.5
Answer:
10 feet
Step-by-step explanation:
If x is the length of the longer piece, and y is the length of the shorter piece, then:
x + y = 16
x = y + 4
Substitute:
x + (x − 4) = 16
2x − 4 = 16
2x = 20
x = 10
The longer piece will be 10 feet long.
