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kolbaska11 [484]
3 years ago
6

Jason has 4 gallons of hand sanitizer that contains 25% alcohol. He wants to make a hand sanitizer that contains 50% alcohol. Ho

w many gallons of pure alcohol should he add?
Mathematics
1 answer:
alexandr402 [8]3 years ago
8 0

Answer:

2 gallons of pure alcohol

Step-by-step explanation:

Let x represent the number of gallons of pure alcohol needed, and create an equation:

4(0.25) + x(1) = (x + 4)0.5

1 + x = 0.5x + 2

x = 0.5x + 1

0.5x = 1

x = 2

So, 2 gallons of pure alcohol should be added.

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What is the lcm of 150 and 180
xxTIMURxx [149]

Answer:

900

Step-by-step explanation:

multiply 2x2x3x3x5x5

4x9x25 which is 900

8 0
3 years ago
7,300 deposit earning 3.3% compounded monthly after 1 year. What will the balance after 1 year will be?
inna [77]

Answer:

$7,544.58

Step-by-step explanation:

We will use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, change 3.3% into its decimal form:

3.3% -> \frac{3.3}{100} -> 0.033

Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:

A=7,300(1+\frac{0.033}{12})^{12(1)}

A=7,544.58

The balance after 1 year will be $7,544.58

7 0
4 years ago
Theresa is 14 years younger than her brother Jonathan. Together, their total age in years is 35. A) How many years old is Theres
ikadub [295]

A) The age of Theresa is 10 years 6 months old

B) Jonathan age is 24 years and 6 months old

<u>Solution:</u>

Given, Theresa is 14 years younger than her brother Jonathan.  

Let the age of Theresa be "n" years

Then the age of Jonathan will be "n + 14" years

Together, their total age in years is 35

<em><u>A) Finding age of Theresa:</u></em>

Jonathan age + Theresa age = 35  

n + 14 + n = 35  

2n + 14 = 35  

2n = 35 - 14  

2n = 21  

n = 10.5

So, age of Theresa is 10 years 6 months  

<em><u>B) Finding age of Jonathan</u></em>

Now, we know that n = 10.5  

Then Jonathan age = n + 14 = 10.5 + 14 = 24.5 years

So, Jonathan is 24 years and 6 months old

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3 years ago
Chris found out that animators earn an average salary of $46,885 for 12 months. How much does an animator earns per month? Set u
Reptile [31]

Answer:

345:675=243$

Step-by-step explanation:

8 0
3 years ago
Please help me i have a couple mins
finlep [7]

Answer:

x + 3

Step-by-step explanation:

Because he bought an unknown number of soccer balls that is where we use the variable, x. And we know that he bought 3 baseballs, and we add them both to get the total number of things bought. Hope this helped and you could give brainliest :)

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3 years ago
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