Solve for x:
10 (x + 2) = 5 (x + 8)
Expand out terms of the left hand side:
10 x + 20 = 5 (x + 8)
Expand out terms of the right hand side:
10 x + 20 = 5 x + 40
Subtract 5 x from both sides:
(10 x - 5 x) + 20 = (5 x - 5 x) + 40
10 x - 5 x = 5 x:
5 x + 20 = (5 x - 5 x) + 40
5 x - 5 x = 0:
5 x + 20 = 40
Subtract 20 from both sides:
5 x + (20 - 20) = 40 - 20
20 - 20 = 0:
5 x = 40 - 20
40 - 20 = 20:
5 x = 20
Divide both sides of 5 x = 20 by 5:
(5 x)/5 = 20/5
5/5 = 1:
x = 20/5
The gcd of 20 and 5 is 5, so 20/5 = (5×4)/(5×1) = 5/5×4 = 4:
Answer: x = 4
Answer:
The regular price was $53.85
Step-by-step explanation:
78% = $42
42 ÷ 78 x 100 = 100% = $53.85 (when rounded to 2 d.p)
<BAC = <DEC = 30°
<BCA = <DCE = 70°
<CDE (or m<D) = 180° - <DEC - <DCE
<CDE = 180° - 30° - 70°
<CDE = 80°
The number that belongs in the green box is 80
<h2>
Answer:</h2>
[C] 90°.
<u>It is Because ∠ACB is formed by the diameter of the semicircle</u>.
<u>And we already know that, the angle formed by diameter measure 90° to the circle or semicircle</u>.
Answer:
Step-by-step explanation:
<em>Step 1: Define significance level</em>
In this hypothesis testing problem, significance levels α is selected: 
, the associated z-value from Laplace table:
Φ(
) = α - 
=> = 
<em>Step 2: Define null hypothesis (</em>
<em>) and alternative hypothesis (</em>
<em>)</em>
: rate of flu infection 
= 8.3% or 8.3/100 = 0.083
: rate of flu infection < 8.3% or 8.3/100 = 0.083
<em>Step 3: Apply the formula to check test statistic:</em>
with 
is actual sampling percent, is rate of flu infection of , 
is number of samples.
The null hypothesis will be rejected if 
<em>Step 4: Calculate the value of K and compare with </em>
We have 
=>This is good evidence to reject null hypothesis.
=> The actual rate is lower. (As states)
Hope this helps!
:)
