Answer:
20% alcohol = 1 gal
10% alcohol = 9 gal
Step-by-step explanation:
Let
x = 20% alcohol
y = 10% alcohol
x + y = 10 (1)
0.20x + 0.10y = 10*0.11
0.20x + 0.10y = 1.1 (2)
From (1)
x = 10 - y
Substitute x = 10 - y into (2)
0.20x + 0.10y = 1.1
0.20(10 - y) + 0.10y = 1.1
2 - 0.20y + 0.10y = 1.1
- 0.20y + 0.10y = 1.1 - 2
-0.10y = -0.9
y = -0.9/-0.10
y = 9 gal
substitute y = 9 into (1)
x + y = 10
x + 9 = 10
x = 10 - 9
x = 1 gal
20% alcohol = 1 gal
10% alcohol = 9 gal
2. the scale factor is x= 4.5 cm
this is because when u see how much it dilated from 4cm to 2cm it divided from 2, so if u did the same for the other number. Which is 9, it’s 9/2 which equals 4.5
Step-by-step explanation:
<h3><u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>Inform</u><u>ation</u><u> </u><u>:</u></h3>
- Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill.
- Remaining money = $759
<h3><u>T</u><u>o</u><u> </u><u>calculate</u><u> </u><u>:</u></h3>
<h3><u>C</u><u>a</u><u>l</u><u>c</u><u>u</u><u>l</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>:</u></h3>
Let us assume his monthly salary as x. According to the question,
➝ Money spent on rent + Money spent for utility bill + Remaining money = His salary
<u>Therefore,</u><u> </u><u>his</u><u> </u><u>monthly</u><u> </u><u>income</u><u> </u><u>is</u><u> </u><u>$</u><u>1</u><u>4</u><u>4</u><u>9</u><u>.</u>
468/(22+17)=12 hours
Bicycles will meets after 12 hours
Answer:
81 / 1024
Step-by-step explanation:
Given that :
Wheel is divided into 4:
Hence, probability of winning either 10%, 20%, 30% or 50% = 1/4
Probability of winning 50% discount = 1/4
Probability of not winning 50% discount :
1 - 1/4 = (4 - 1) /4 = 3/4
Hence, probability that 50% is won by 5th customer :
(3/4) * (3/4) * (3/4) * (3/4) * (1/4)
= (3/4)^4 * (1/4)
= (81 /256) *(1/4)
= 81 / 1024