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GuDViN [60]
3 years ago
9

A runner warms up for ten minutes and then takes seven minutes to run each mile The total time after r miles is 45 minutes . How

many miles are run
Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0
5 miles are ran total. Take away ten minutes of warm up from the total time of 45 minutes. You now have 35 minutes of running. You will now divide 35 minutes by 7 minutes. Which equals 5
You might be interested in
A metallurgist has one alloy containing 34% copper another containing 48% copper. How many pounds of each alloy must he use to m
Zielflug [23.3K]

Answer:

<h2>36.14 pounds of 34% copper alloy and 9.86 pounds of 48% copper alloy</h2>

Step-by-step explanation:

        First alloy contains 34% copper and the second alloy contains 48% alloy.

We wish to make 46 pounds of a third alloy containing 37% copper.

       Let the weight of first alloy used be x in pounds and the weight of second alloy used be y in pounds.

       Total weight = 46\text{ }pounds=x+y        -(i)

      Total weight of copper = 37\%\text{ of 46 pounds = }34\%\text{ of }x\text{ pounds + }48\%\text{ of }y\text{ pounds }

       \dfrac{37\times 46}{100}=\dfrac{34x}{100}+\dfrac{48y}{100}\\\\ 34x+48y=1702        -(ii)

       Subtracting 34 times first equation from second equation,

34x+48y-34x-34y=1702-34\times46\\14y=138\\y=9.857\text{ }pounds \\x=36.143\text{ }pounds

∴ 36.14 pounds of first alloy and 9.86 pounds of second alloy were used.

5 0
3 years ago
Simplify (1 − cos x)(1 + cos x).<br><br> 1<br> cos2 x<br> sin2 x<br> tan2 x
Phoenix [80]
Answer

The expression is equivalent to sin^{2}x

The first step is to multiply the two expressions between parentheses :
(II)
There is a trigonometric identity that states :

Working with this expression :
⇒
(I)
Using the equation (I) in (II) :
⇒


Read more on Brainly.com - brainly.com/question/3907632#readmore
3 0
3 years ago
Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received c fewer cookies than she
frosja888 [35]

Answer:

12-c

Step-by-step explanation:

Let c be Cindy's cookies

Solution:

Each child should have gotten 12 cookies because 96/8 is 12 but Cindy got c less so the answer would be 12-c.

6 0
3 years ago
What is the GCF of 48 and 36
slega [8]

Answer:

12 is the gcf of 48 and 36

Step-by-step explanation:

Hope this helps :)

3 0
2 years ago
For what value of the constant c is the function fcontinuous on (−[infinity], [infinity])?
Arlecino [84]

Answer:

For c=\frac{1}{7} the function f(x) is continuous on (-\infty,\infty).

Step-by-step explanation:

We have the following function

f(x) = \left\{        \begin{array}{ll}            cx^2+5x & \quad x

For the function f(x) to be continuous on (-\infty,\infty) it is sufficient to have continuity at x = 6, we need to ensure that as x approaches 6, the left and right limits match, this means that

\lim_{x \to 6^{-} } f(x)=\lim_{x \to 6^{+} } f(x)=f(x),

which holds if and only if

c\left(6\right)^2+5\left(6\right)=\left(6\right)^2-c\left(6\right)\\36c+30=36-6c\\42c=6

namely if c=\frac{1}{7}.

6 0
3 years ago
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