21. The number who responded is 600 -150 = 450. Expressed as a fraction of the total, that is
450/600 = (150*3)/(150*4) = 3/4
22. Total fabric used is
6*(3 1/6) +8*(2 3/4) = 19 +22 = 41 . . . . yards
Fabric unused is . . .
50 yd -41 yd = 9 yd
23. The problem statement is ambiguous. We suppose it is intended to say that the stock increased by 1/4 of its original value. In that case, the present value is
$2000 +$2000*(1/4) = $2500
_____
An alternate interpretation of the statement is that the amount of increase was 1/4. In that case, the present value is
$2000 + 0.25 = $2000.25
Answer:
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Step-by-step explanation:
m∠W = (4x)°
m∠Y = (3x)°
m∠Z = (3x)°
i.e.,
We Know That,
The sum of a Triangle is 180°
So,
m∠W + m∠Y + m∠Z
i.e.,
(4x)° + (3x)° + (3x)° = 180°
10x° = 180°
x = 180/10
x = 18°
Now,
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Thus, x = 18°
<h3>
<u>FOR</u><u> </u><u>VERIFICATION ONLY</u><u>:</u></h3>
(4x)° + (3x)° + (3x)° = 180°
4 × 18 + 3 × 18 + 3 × 18 = 180
72° + 54° + 54° = 180°
180° = 180°
Hence, L.H.S = R.H.S
<u>-TheUnknown</u><u>S</u><u>cientist</u>
The area of the square pyramid is 105 sq inches.
Step-by-step explanation:
Given,
The base of the pyramid (b) = 5 inches
The height (h) = 8 inches
To find the area of the square pyramid.
Formula
The area of the square pyramid = 2bh + 
Now,
The area of the square pyramid = 2×5×8 + 
sq inch
= 105 sq inches
Hence,
The area of the square pyramid is 105 sq inches.
8 positions x 8 employees = 64 different ways
Answer:
C
Step-by-step explanation:
The question states that Car A after two hours is at 95. We can represent this as (2, 95). We know the slope is 40, which means we can find the y intercept of Car A using point slope form: y = 40(x - 2) + 95. y = 40x + 15. This means that Car B is 5 miles east of car a, as the Y intercept of Car B is 5 greater.
