1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marina86 [1]
3 years ago
14

7 times as much as sum of 1/3 and 4/5

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
8 0
So the formula is
7*(1/3+1/5) = x

First find the common denominator of the fractions.  In this case the common denominator of 3 and 5 is 15 so we must convert them to 15ths.  To do that we divide 15 by the denominator and take that answer and multiply the numerator by it.

So for 1/3 we take 15/3(denominator) = 5 and multiply the numerator (1) by it

5 * 1 = 5 so 1/3 converts to 5/15

Do the same for 1/5 we take 15/5 = 3 and multiply the numerator (4) by it

3*4 = 12 so 4/5 converts to 12/15

Now we add 5/15 and 12/15 = 17/15 so we have our formula now to

7*17/15

We make seven a fraction 7/1 and multiply across 7*17 = 119 and 15 * 1 = 15

We have 119/15 which when we divide and get 7 14/15 as your answer
AleksandrR [38]3 years ago
5 0
Find a common denominator aka 15
so 5/15 and 12/15
= 17/15 times 7/1
119/15
You might be interested in
Owen is 147.3 cm tall
melomori [17]
Owen is aroumd 4.87 feet tall also.
3 0
3 years ago
Please explain the problem to me step by step​
JulijaS [17]
<h3>Solution:</h3>

\frac{4y}{9}  -  \frac{2y}{3}  = 10 \\  =  >  \frac{4y - 6y}{9}  = 10 \\  =  >  \frac{ - 2y}{9}  = 10 \\  =  > y = 10 \times  \frac{9}{ - 2}  \\  =  > y =  - 5 \times 9 \\  =  > y =  - 45

<h3>Answer:</h3>

-45

5 0
2 years ago
An investment of $250 pays 11% annual interest, compounded quarterly. What is the interest earned in 10 years?
lions [1.4K]
<span>The interest earned in 10 years is B. $739.97.</span>
4 0
3 years ago
Read 2 more answers
Use a known maclaurin series to obtain the maclaurin series for the given function. f(x = 8x2 tan?1(7x3
11Alexandr11 [23.1K]
Going out on a limb here and guessing that the function is

f(x)=8x^2\tan^{-1}(7x^3)

Please correct me if this isn't the case.

Recall that

\tan^{-1}x=\displaystyle\sum_{n\ge0}\frac{(-1)^nx^{2n+1}}{2n+1}

which converges for |x|.

It follows that

8x^2\tan^{-1}(7x^3)=8x^2\displaystyle\sum_{n\ge0}\frac{(-1)^n(7x^3)^{2n+1}}{2n+1}
=\displaystyle\sum_{n\ge0}\frac{56(-49)^nx^{6n+3}}{2n+1}
6 0
3 years ago
Can 3.65909090909 be expressed as a fraction whose denominator is a power of 10? Explain.
GuDViN [60]
\bf 3.659\textit{ can also be written as }\cfrac{3659}{1000}\textit{ therefore }3.6590909\overline{09}\\\\&#10;\textit{can be written as }\cfrac{3659.0909\overline{09}}{1000}

notice above, all we did, was isolate the "recurring part" to the right of the decimal point, so the repeating 09, ended up on the right of it.

now, let's say, "x" is a variable whose value is the recurring part, therefore then

\bf \cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \qquad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}

now, the idea behind the recurring part is that, we then, once we have it all to the right of the dot, we multiply it by some power of 10, so that it moves it "once" to the left of it, well, the recurring part is 09, is two digits, so let's multiply it by 100 then, 

\bf \begin{array}{llllllll}&#10;100x&=&09.0909\overline{09}\\&#10;&&9+0.0909\overline{09}\\&#10;&&9+x&#10;\end{array}\quad \implies 100x=9+x\implies 99x=9&#10;\\\\\\&#10;x=\cfrac{9}{99}\implies \boxed{x=\cfrac{1}{11}}\\\\&#10;-------------------------------\\\\&#10;\cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \quad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}&#10;\\\\\\&#10;\cfrac{3659+\frac{1}{11}}{1000}

and you can check that in your calculator.
8 0
3 years ago
Other questions:
  • What is two fifths if 35 dollars and 10 cents??
    12·1 answer
  • Distributibe property 6×4.4
    11·2 answers
  • Dot diagram to show why 9 is a square number
    11·1 answer
  • How to solve interior angles of a triangle
    15·1 answer
  • What is the solution to the equation x/2-4=6​
    8·2 answers
  • Breinor needed some school supplies to finish out the year. His mom bought him a 3-pack of pens for $3.59, a pack of highlighter
    9·1 answer
  • what are the smallest values of p and r that satisfy the definitions for parallel lines and perpendicular lines?
    7·1 answer
  • Lacey picks blueberries and raspberries from her garden. She has ⅕ as many pounds of blueberries as raspberries. If she picks 1⅘
    10·2 answers
  • Gerald is looking to sell his motorcycle. He compiles these prices from the newspaper for bikes just like his: $2,000; $18,900;
    13·2 answers
  • Question 3 of 28
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!