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Tresset [83]
3 years ago
12

Donna is running a track it takes her 10 minutes to run 6 laps if she keeps running at the same speed how long will it take her

to run 5 laps
Mathematics
2 answers:
kaheart [24]3 years ago
7 0
To solve this problem we can make a proportion.
6      5
-- = ---
10    x

to solve this proportion we can cross multiply and divide.
5 times 10 is 50.  divided by 6 is 8.3
it will take her 8.3 minutes to run 5 laps
sveta [45]3 years ago
5 0
If Donna took 10 minutes to run 6 laps, it took her 600 seconds to run 6 laps
so that means each lap took 100 seconds to complete. 100*5=500 seconds
so it took her 8 minutes 20 seconds
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Pleaseee helppp with thisss asappp
Hoochie [10]

We are given with a equation of Circle and we need to find it's radius and it's equation in standard form . But , let's recall , the standard equation of a circle is {\bf (x-h)^{2}+(y-k)^{2}=r^{2}} where <em>(h,k)</em> is the centre of the circle and radius is <em>r</em> . Proceeding further ;

{:\implies \quad \sf x^{2}+12y+22x+y^{2}-167=0}

Collecting <em>x</em> terms , y terms and transposing the constant to RHS ;

{:\implies \quad \sf (x^{2}+22x)+(y^{2}+12y)=167}

Now , as in standard equation their is a whole square , so we need to develop a whole square in LHS , for which we will use completing the square method , as coefficient of x² and y² is 1 , so adding 121 and 36 to LHS and RHS .

{:\implies \quad \sf (x^{2}+22x+121)+(y^{2}+12y+36)=167+121+36}

{:\implies \quad \sf (x+11)^{2}+(y+6)^{2}=324\quad \qquad \{\because a^{2}+2ab+b^{2}=(a+b)^{2}\}}

{:\implies \quad \bf \therefore \quad \underline{\underline{\{x-(-11)\}^{2}+\{y-(-6)\}^{2}=(18)^{2}}}}

On comparing this with the standard equation , we got our centre at <em>(-11,-6)</em> and radius is <em>18 units </em>

8 0
2 years ago
Can i please have help with this question brainliest for corecct answer
In-s [12.5K]

answer is D

graduent should be m¹×m²=-1

and should be the inverse of the other

3 0
2 years ago
In a study of the accuracy of fast food​ drive-through orders, one restaurant had 34 orders that were not accurate among 371 ord
postnew [5]

Answer:

The claim that he rate of inaccurate orders is equal to​ 10% is supported by statistical evidnece at 5% level

Step-by-step explanation:

Given that in a study of the accuracy of fast food​ drive-through orders, one restaurant had 34 orders that were not accurate among 371 orders observed.

Sample proportion p=0.092\\q=1-p = 0.908\\n = 371

H_0: p =0.10\\H_a: p \neq 0.10

(Two tailed test at 5% significance level)

p difference = 0.092-0.100\\=-0.0084

Std error if H0 is true = \sqrt{\frac{0.1(0.9)}{371} } \\=0.016

Test statistic Z = p diff/std error

=0.539

p value = 0.5899

Since p > 0.05 accept null hypothesis

The claim that he rate of inaccurate orders is equal to​ 10% is supported by statistical evidnece at 5% level

8 0
3 years ago
Find the unknown side length of the rectangle is 3 2/3 and if the area is 11m2
patriot [66]

Answer:

The width of the rectangle given is equal to 3m.

Step-by-step explanation:

In order to solve this question we need to know that the areas of the rectangle is equal to A_{rectangle} = (l)(w), where "l" is length and "w" is width. So know in order to solve this question we would have to find out the unknown width by using area and the length of the triangle. Based on the formula I wrote down earlier we can understand the following.....

A_{rectangle} = (l)(w)

\frac{A_{rectangle} }{l}  = \frac{(l)(w)}{l}

w = \frac{A_{rectangle} }{l}

Just now we found out the formula that we can use to solve for the width when we know the area and the length of the rectangle. Now in order to get the answer we just have to plug in the values we know, and we get........

w = \frac{A_{rectangle} }{l}

w = \frac{11m^{2} }{(3\frac{2}{3}m )}

w = 3m

7 0
2 years ago
Can some one please help me with this problem?
Lady bird [3.3K]
6a+2s=x (total amount of money)
6 (90)+2 (50)= x
540+100=640
The total amount of money is $640
hope that helps!
6 0
3 years ago
Read 2 more answers
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