Answer:
5.714 liters of the 5% solution and 4.286 of the 40%.
Step-by-step explanation:
Let x be the volume of 40% solution and y = volume of the 5% solution.
x + y = 10
0.40x + 0.05y = 0.20(x + y)
From the first equation x = 10 -y so we have:
0.40(10 - y) + 0.05y = 0.20( 10 - y + y)
4 - 0.40y + 0.05y = 2
-0.35y = -2
y = 5.714 liters of the 5%.
and x = 10 - 5.714 = 4.286 liters of the 40% solution.
Step-by-step explanation:
Answer:
The unit price is 4.15 dollars per gallon
Step-by-step explanation:
- Yolanda buys 5.8 gallons of gas for $24.07
- We need to find the unit price in dollars per gallon
- Unit price means the price of each gallon
∵ The number of gallons = 5.8 gallons
∵ The price of the gallons = $24.07
∵ The unit price = the amount of money ÷ number of gallons
∴ The unit price = 24.07 ÷ 5.8
∴ The unit price = 4.15 dollars per gallon
* <em>The unit price is 4.15 dollars per gallon</em>
We are given
△ABC, m∠A=60° m∠C=45°, AB=8
Firstly, we will find all angles and sides
Calculation of angle B:
we know that sum of all angles is 180
m∠A+ m∠B+m∠C=180
we can plug values
60°+ m∠B+45°=180
m∠B=75°
Calculation of BC:
we can use law of sines

now, we can plug values



Calculation of AC:

now, we can plug values



Perimeter:

we can plug values


Area:
we can use formula

now, we can plug values

...............Answer
Answer:
Slope= 3
Step-by-step explanation:
y - 4= 3(x+6)
y - 4= 3x + 18 distributive property
y - 4(+4) = 3x + 18(+4)
cancel out the 4 with its oposite and apply to both sides.
y = 3x + 22 final answer
Remember the slope intersept equation... y=mx+b
m is slope
b means the y-intersept.
So the final slope of the line is 3. (demostrated by graph below)
<em>Program for graph: Desmos</em>