64 and 28 have a GCF of 4, since 64 = 4 x 16, 28 = 4 x 7, and 7 and 16 have no factors other than 1 in common. Knowing that, we can rewrite 64 + 28 as
4 x 16 + 4 x 7
and then use the distributive property to rewrite it again as
4 x (16 + 7)
Garden one and two are both unknown, so I am choosing to call garden 2 X and then label garden 1 with comparisons to X.
It is tempting to list:
Garden Two = X
Garden One = X + 9
BUT there is an easier way. We are told that when 3 bushes are taken from garden 2 (x-3) and put in garden 1 (x + 12) then garden one has 1.5 times more than garden two.
Set it up like this:
1.5 ( x - 3) = x + 12 (because 1.5 times garden 2 will give us garden 1)
1.5x - 4.5 = x + 12 (Distribute)
.5x = 16.5 (Use subtraction to move variables to the right and other numb left)
x = 33 for Garden 2
33 + 9 for Garden 1 = 42
1/2a - 7 + 1/2a = 1/3
1/2a + 1/2a = 1/3 + 7
2/2a = (1 + 21)/3
a = 22/3
Answer:
<h2>Any point on the purple region.</h2>
<em>Look at the picture.</em>
Step-by-step explanation:
<, > - dotted line
≤, ≥ - solid line
<, ≤ - shaded region below a line
>, ≥ - shaded region above a line
y = 3x
for x = 0 → y = 3(0) = 0 → (0, 0)
for x = 2 → y = 3(2) = 6 → (2, 6)
y < 3x - dotted line, shaded region below the line
y = 5 - it's a horizontal line passes througth points (x, 5) <em>/x - any real number/</em>
y < 5 - dotted line, shaded region below the line
Answer:
Step-by-step explanation:
I believe the correct answer from the choices listed above is option D. The expression that could be used to determine the average rate at which the object falls during the first 3 seconds of its fall would be (h(3)-h(0))/3. Average rate can be calculated by the general formula:
Average rate = (change in y-axis) / (change in x-axis)
In this case,
Average rate = (change in height) / (change in time)
