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iragen [17]
3 years ago
14

You and your friend are making 30 liters of sodium water. You have liters of 10% sodium and your friend has liters of 22% sodium

. How many of your liters and how many of your friends liters should you mix to make 30 liters of 15% sodium?
Mathematics
1 answer:
iren [92.7K]3 years ago
4 0
X liters of 10% + (30 - x) liters of 22% = 30 liters of 15% 

<span>Plugging in the numbers </span>
<span>x(10) + (30 - x)22 = 30(15) </span>

<span>Distribute </span>
<span>10x + 660 - 22x = 450 </span>

<span>Combine like terms </span>
<span>-12x = -210 </span>

<span>Divide both sides by -12 </span>
<span>x = 17.5 </span>
<span>30 - x = 12.5 </span>

<span>17.5 liters of 10% + 12.5 liters of 22% = 30 liters of 15%

THE TRICK IS TO JUST USE ONLY ONE VARIABLE</span>
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Mr. Nelson bought a car for $20,000 with a 5% interest rate.
LekaFEV [45]

Answer:

A ) Hence The interest for the car loan is $ 4,310

B ) Hence The interest for the car loan is $ 3,152

Step-by-step explanation:

Given as :

The loan for the car = $ 20,000

The rate of interest of car loan = 5 % compounded annually

A ) The period of loan = 48 months = 4 years

Let the interest of the loan = CI

<u>From compounded method</u>

Amount = Principal × (1 + \frac{\textrm Rate}{100})^{\textrm time}

Or, Amount = $ 20,000 × (1 + \frac{\textrm 5}{100})^{\textrm 4}

Or,  Amount = $ 20,000 × (1.05)^{4}

Or, Amount = $ 20,000 × 1.2155

∴ Amount = $ 24310

So, Interest = Amount - Principal

Or, CI = $ 24,310 - $ 20,000  

∴  CI = $ 4,310

Hence The interest for the car loan is $ 4,310

B ) The loan for the car = $ 20,000

The rate of interest of car loan = 5 % compounded annually

The period of loan = 3 years

Let the interest of the loan = CI

So,

<u>From compounded method</u>

Amount = Principal × (1 + \frac{\textrm Rate}{100})^{\textrm time}

Or, Amount = $ 20,000 × (1 + \frac{\textrm 5}{100})^{\textrm 3}

Or,  Amount = $ 20,000 × (1.05)^{3}

Or, Amount = $ 20,000 × 1.1576

∴ Amount = $ 23,152

So, Interest = Amount - Principal

Or, CI = $ 23,152 - $ 20,000  

∴  CI = $ 3,152

Hence The interest for the car loan is $ 3,152

6 0
3 years ago
How to break apart the addends
lidiya [134]
You have to use scissors duh! lol jk :)
6 0
3 years ago
Write an equation of a line with the given slope and y-intercept (8,1)m=-1/2
Ganezh [65]
Slope intercept form is y=mx+b 
first plug in m
y=-1/2X + b 
 now plug in the point (8,1) for the x and the y
1=-1/2(8) + b

now you need to solve for b
simplify
1=-4+ b
add 4
5=b

now that you know b
you can plug it into the equation along with the m

so the answer is 
y=-1/2X + 5

5 0
2 years ago
A student reads 56 pages in 4 hours. How many pages will the student read in 7 hours? Do these
Varvara68 [4.7K]

Answer:

98

Step-by-step explanation:

the time taken is directly proportional and so we multiply 7 by 56 and the divide the answer by 4 to get 98

3 0
3 years ago
Jason used wire fencing to form a border around a circular region in his back yard. If the radius of the circular region was 5 y
stiks02 [169]

Answer:

The total length of the border is 31.4 yards rounded to the nearest tenth of a yard

Step-by-step explanation:

The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle

Jason used wire fencing to form a border around a circular region in his back yard

<em>That means the length of the wire is equal to the circumference of the circular region</em>

∵ The radius of the circular region was 5 yards

∴ r = 5 yards

∵ C = 2πr

- Substitute r by 5

∴ C = 2π(5)

∴ C = 31.41592654 yards

- Round it to the nearest tenth of a yard

∴ C = 31.4 yards

∵ The length of the wire is equal to the circumference of

    the circular region

∴ The length of the wire is 31.4 yards

The total length of the border is 31.4 yards rounded to the nearest tenth of a yard

7 0
3 years ago
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