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Bond [772]
3 years ago
7

if you save 75$ every week and your friend saves 50$ a week, after how many weeks will both of you have he same amount of money

Mathematics
1 answer:
s2008m [1.1K]3 years ago
5 0
If you keep getting money he wont catch up, but if not he'll get $7.14 a day up to $100. He will be pass you so you will take out some days so you both are at $75 on the 4 day of the next day you guys will be close he will have $78.56.
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9/11 of a number is 36. What is the number?
mina [271]

Answer:

44

Step-by-step explanation:

\frac{9}{11} x=36

x=36/\frac{11}{9}\\x=\frac{36*11}{9} \\x=4*11=44

8 0
3 years ago
Read 2 more answers
Solve for the positive value of x: 6x2 – 54 = 0
n200080 [17]
If you would like to solve for the positive value of x, you can do this using the following steps:

6 * x^2 - 54 = 0      /6
x^2 - 9 = 0
(x - 3) * (x + 3) = 0
1. x = 3
2. x = - 3

The correct result would be x = 3.
4 0
3 years ago
Find the integral using substitution or a formula.
Nadusha1986 [10]
\rm \int \dfrac{x^2+7}{x^2+2x+5}~dx

Derivative of the denominator:
\rm (x^2+2x+5)'=2x+2

Hmm our numerator is 2x+7. Ok this let's us know that a simple u-substitution is NOT going to work. But let's apply some clever Algebra to the numerator splitting it up into two separate fractions. Split the +7 into +2 and +5.

\rm \int \dfrac{x^2+2+5}{x^2+2x+5}~dx

and then split the fraction,

\rm \int \dfrac{x^2+2}{x^2+2x+5}~dx+\int\dfrac{5}{x^2+2x+5}~dx

Based on our previous test, we know that a simple substitution will work for the first integral: \rm \quad u=x^2+2x+5\qquad\to\qquad du=2x+2~dx

So the first integral changes,

\rm \int \dfrac{1}{u}~du+\int\dfrac{5}{x^2+2x+5}~dx

integrating to a log,

\rm ln|x^2+2x+5|+\int\dfrac{5}{x^2+2x+5}~dx

Other one is a little tricky. We'll need to complete the square on the denominator. After that it will look very similar to our arctangent integral so perhaps we can just match it up to the identity.

\rm x^2+2x+5=(x^2+2x+1)+4=(x+1)^2+2^2

So we have this going on,

\rm ln|x^2+2x+5|+\int\dfrac{5}{(x+1)^2+2^2}~dx

Let's factor the 5 out of the intergral,
and the 4 from the denominator,

\rm ln|x^2+2x+5|+\frac54\int\dfrac{1}{\frac{(x+1)^2}{2^2}+1}~dx

Bringing all that stuff together as a single square,

\rm ln|x^2+2x+5|+\frac54\int\dfrac{1}{\left(\dfrac{x+1}{2}\right)^2+1}~dx

Making the substitution: \rm \quad u=\dfrac{x+1}{2}\qquad\to\qquad 2du=dx

giving us,

\rm ln|x^2+2x+5|+\frac54\int\dfrac{1}{\left(u\right)^2+1}~2du

simplying a lil bit,

\rm ln|x^2+2x+5|+\frac52\int\dfrac{1}{u^2+1}~du

and hopefully from this point you recognize your arctangent integral,

\rm ln|x^2+2x+5|+\frac52arctan(u)

undo your substitution as a final step,
and include a constant of integration,

\rm ln|x^2+2x+5|+\frac52arctan\left(\frac{x+1}{2}\right)+c

Hope that helps!
Lemme know if any steps were too confusing.

8 0
3 years ago
1/6 plus 3/8<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%20%7D%20%20%2B%20%20%5Cfrac%7B3%7D%7B8%7D%20" id="TexFor
Tems11 [23]

Answer:

13/24 is your answer for this

Step-by-step explanation:


6 0
3 years ago
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A recipe calls for 40 ounces of meat .how many pounds of meat does the recipe require
nekit [7.7K]

Answer:

2.5 pounds of meat

Step-by-step explanation:


7 0
3 years ago
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