Answer:
x = -40
Step-by-step explanation:
<u>Rewrite "(x - 4)/4" in a different way:</u>
⇒ 8 + x/2 = (x - 4)/4 - 1
⇒ 8 + x/2 = x/4 - 4/4 - 1
<u>Simplify the R.H.S:</u>
⇒ 8 + x/2 = x/4 - 1 - 1
⇒ 8 + x/2 = x/4 - 2
<u>Add 2 both sides and subtract x/2 both sides:</u>
⇒ 8 + x/2 = x/4 - 2
⇒ 8 + 2 = x/4 - x/2
⇒ 10 = x/4 - 2x/4
<u>Simplify the R.H.S:</u>
⇒ 10 = x/4 - 2x/4
⇒ 10 = -x/4
<u>Use cross multiplication:</u>
⇒ 10 × 4 = -x
⇒ -(40) = x = -40
Answer:

Step-by-step explanation:
Consider triangles BKE and DKA. In this triangles:
as vertical angles;
as alternate interior angles (lines BC and AD are parallel and BC is a transversal);
as alternate interior angles (lines BC and AD are parallel and BE is a transversal).
Thus triangles BKE and DKA are similar by AA theorem. Similar triangles have proportional sides lengths:

Thus, 
Since AD=BC and BC=BE+CE, we have that 4BE=BE+EC, EC=3BE. Hence, the ratio BE to EC is

We are given " The country recreation department cleared a 3/4 mile long walking trail in Washington Park."
Therefore total distance = 3/4 miles.
"There will be a small sign every 1/12 mile along the trail, including at the beginning and end of the trail. "
Distance of small sign = 1/12 mile.
We need to find the number of signs in 3/4 miles each of 1/12 miles.
<em>In order to find the number of signs, we need to divide total distance by distance of a small sign.</em>
3/4 ÷ 1/12
= 3/4 × 12/1 = 3 × 3
= 9 signs.
<h3>Therefore, 9 signs are needed.</h3>
Answer:
<u>The</u><u>r</u><u>e </u><u>are </u><u>5</u><u>0</u><u> </u><u>oranges </u><u>in </u><u>the </u><u>box.</u>
Step-by-step explanation:
Weight of box = 4 kg = 4000 g
Weight of 1 orange = 80 g
No. of oranges in the box = ?
No. of oranges in the box = Weight of the box / Weight of 1 orange
No. of oranges in the box = 4000 / 80 = <u>50 oranges.</u>
Answer:
71˚
Explanation:
To find the <em>mean</em> of a sum of numbers, you add all the numbers together, and then divide by how many numbers there are.
71 + 72 + 68 + 67 + 74 + 72 + 73 = 497
497 ÷ 7 = 71