You can write it several ways. Here are two:
1) Proportion
160/1.00=x/0.95
(160 is the whole, 1.00 or 100%, and x is 95% of the whole. Solve for x.)
x=<u>160*0.95<em /></u> = 152/1 = 152<u>
</u> 1.00
2) Simple multiplication expression
"of" in math almost always means "multiply"
95% becomes 0.95. Multiply 0.95 by 160 to get your answer.
0.95*160=152
Either way, you get <u><em /></u><em />152, so that is your final answer.
Missing data:
Almond Prices
Number of Pounds
Cost (per pound)
up to 10
$20
more than 10, and up to 20
$15
more than 20, and up to 30
$10
more than 30
<span>$5
</span>
A) a horizontal line with an open circle at (20, 10) and a closed circle at (30, 10); $207.50
B) a horizontal line with a closed circle at (20, 10) and an open circle at (30, 10); $207.50
C) a horizontal line with an open circle at (21, 10) and a closed circle at (30, 10); $311.25
<span>D) a horizontal line with a closed circle at (21, 10) and an open circle at (30, 10); $311.25
</span>
20.75 pounds is in the more than 20, and up to 30 ; <span>$10 range.
y = 10(20.75)
y = 207.50
open circle means less than or greater than. close circle means "less than or equal to" or "greater than or equal to"
</span><span>My answer : A) a horizontal line with an open circle at (20, 10) and a closed circle at (30, 10); $207.50</span><span>
</span>
Answer:
The measure of angle DPA is 39°
Step-by-step explanation:
step 1
Find the value of x we know that arc AB+arc BC+arc CD+arc DA=360°
substitute the values
(5x+10)°+(x+1)°+3x°+(3x+25)°=360°
Solve for x
(12x+36)°=360°
12x=360°-36°
x=324°/12=27°
step 2 Find the measure of angle DPA
we know that The measurement of the external angle is the semi-difference of the arcs which comprises
m∠DPA=(1/2)[arc DA-arc BC]
arc DA=3(27)+25=106°
arc BC=27+1=28°
substitute the values
m∠DPA=(1/2)[106°-28°]=39°
Answer:
m=5/2
Step-by-step explanation:
the equation of slope is (y2-y1)/(x2-x1)
here are the points given: (0,5), (2,10)
let's label the points:
x1=0
y1=5
x2=2
y2=10
now substitute into the equation (m is the slope)
m=(10-5)/(2-0)
subtract
m=5/2
the slope is 5/2
Answer: The equation is f(x) = 
;
The piece of plastic has to have 10mm of thickness.
Step-by-step explanation: It is known that with 1 mm of thickness, 5% of the intensity is reduced. So, 95% of the light is transmitted.
For each milimetre added, "more" 95% of light is transmitted.
For example, if another milimetre of plastic is added, another 0.95 of light is transmitted:
0.95.0.95 = 0.9025 of light reach the visor
So, the model that relate thickness of plastic and intensity of light is:
f(x) =
in which:
f(x) is the intensity of light;
x is thickness in mm;
Using the equation, the thickness necessary to reduce intensity to 60% is:
f(x) =
0.6 =
log 0.6 = log
x. log (0.95) = log (0.6)
x = 
x = 9.95
x ≈ 10
The thickness necessary to reduce intensity of light to 60% is 10mm.
