Answer:
Pounds of raisins = 1.5 lb
Pounds of cashew = 3.5 lb
Step-by-step explanation:
Let
Pounds of raisins = x
Pounds of cashew = y
x + y = 5 (1)
4.50x + 9.50y = 40 (2)
From (1)
x = 5 - y
Substitute x = 5 - y into
4.50x + 9.50y = 40
4.50(5 - y) + 9.50y = 40
22.50 - 4.50y + 9.50y = 40
- 4.50y + 9.50y = 40 - 22.50
5y = 17.5
y = 17.5 / 5
= 3.5
y = 3.5lb
Substitute y = 3.5 into
x + y = 5
x + 3.5 = 5
x = 5 - 3.5
= 1.5
x = 1.5lb
Pounds of raisins = 1.5 lb
Pounds of cashew = 3.5 lb
Answer:144
Explanation: 25% of the total in other words means that it is 1/4 (a quarter). You could just multiply 36 by 4 to get the total (100%). If u want to verify, just multiply 144 by 0.25 and u should get 36.
<h2>19.</h2><h3>Given</h3>
- window width and height are in proportion to building width and height
- window width and height are 11 in and 18 in, respectively
- building height is 108 ft
<h3>Find</h3>
<h3>Solution</h3>
The proportional relation can be written as
... (building width)/(building height) = (window width)/(window height)
Multiplying by (building height) gives
... (building width) = (building heigh) × (window width)/(window height)
... (building width) = 108 ft × (11 in)/(18 in)
... building width = 66 ft
<h2>21.</h2><h3>Given</h3>
- map distance = 6.75 in
- map scale = 1.5 in : 5 mi
<h3>Find</h3>
<h3>Solution</h3>
The distances are in proportion, so
... (map distance) : (actual distance) = 1.5 in : 5 mi
Multiplying by (5 mi)/(1.5 in)×(actual distance), we have
... (5 mi)/(1.5 in)×(6.75 in) = (actual distance) = 22.5 mi
Answer:
± 60
Step-by-step explanation:
aₙ = a₁ * rⁿ⁻¹
a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶ (1)
a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴ (2)
(1)/(2): 30/120 = 1/4 = r²
r = ± 1/2 or ± 0.5
a₁ = a₇/r⁶ = 30/0.5⁶ = 1920
a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60
Answer:
x=46
Step-by-step explanation:
