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Ira Lisetskai [31]
4 years ago
8

Which algebraic expression represents “the quotient of 7 and number”?

Mathematics
2 answers:
Drupady [299]4 years ago
6 0
The correct option would be
A)7/n

As quotient deals with the division
I hope that helped!
Lera25 [3.4K]4 years ago
4 0

The answer is A, I took the test.

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Equation for a circle with a diameter that has endpoints at (2, –5) and (8, –9)
chubhunter [2.5K]

The standard form for the equation of a circle is :

<span><span> (x−h)^2</span>+<span>(y−k)^2</span>=r2</span><span> ----------- EQ(1)
</span> where handk are the x and y coordinates of the center of the circle and r<span> is the radius.
</span> The center of the circle is the midpoint of the diameter.

 So the midpoint of the diameter with endpoints at (2,-5)and(8,-9) is :

 ((2+(8))/2,(-5+(-9))/2)=(5,-7)

 So the point (5,-7) is the center of the circle.

  Now, use the distance formula to find the radius of the circle:

  r^2=(2−(5))^2+(-5−(-7))^2=9+4=13

 ⇒r=√13

 Subtituting h=5, k=-7 and r=√13 into EQ(1) gives :

 (x-5)^2+(y+7)^2=13

5 0
4 years ago
Explain how to use the least common multiple to find 5/9 - 2/15
polet [3.4K]
Because you need to have the same denominators to subtract fractions, you need to find the LCM of 15 and 9. The LCM of 15 and 9 is 45. Because 15 goes into 45 3 times, you multiply 2* 3 to find the numerator. Because 9 goes into 45 5 times, you multiply 5*5 to find the numerator. The new equation is 25/45 - 6/45. The answer is 19/45, which cannot be simplified any further.
7 0
4 years ago
Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria h
schepotkina [342]

Answer:

C. 4 weeks

Step-by-step explanation:

Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria has walked 30 miles and walks 12 miles each week

After how many weeks will Trish and Aria have walked the same number of miles? A. 2 weeks B. 3 weeks C. 4 weeks D. 5 weeks

Trish = 38 + 10x

Aria = 30 + 12x

Where,

x = number of weeks

After how many weeks will Trish and Aria have walked the same number of miles?

Equate both equations

38 + 10x = 30 + 12x

38 - 30 = 12x - 10x

8 = 2x

x = 8/2

x = 4 weeks

5 0
3 years ago
Solve the equation below for y in terms of x.
zmey [24]

y=3/2x + 7/2
OR
y=3/2x + 3.5

first, write the equation: 2y-3x=7
When solving for y, you want to get the y by itself on one side of the equation. Start by adding 3x to both sides. it should look like:
2y = 3x + 7
Next, divide both sides by 2 to get the y by itself. now you have:
y= 3/2x + 7/2
there you have it!! however, if you want the y intercept (7/2) in decimal form, then it’s:
y=3/2x + 3.5
hope this helped!
4 0
3 years ago
Suppose that in a large metropolitan area, 84% of all households have cable tv. Suppose you are interested in selecting a group
Firdavs [7]

Answer:

0.05606

Step-by-step explanation:

This is a binomial probability distribution problem.

84% of all households have cable TV, thus;

p = 0.84

There are six households from this area, thus; n = 6

Formula for this binomial distribution is;

P(X) = C(n, x) × p^(x) × (1 - p)^(n - x)

We want to find the proportion of groups where at most three of the households have cable TV.

Thus, it's is;

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = 0) = C(6, 0) × 0.84^(0) × (1 - 0.84)^(6 - 0) = 0.00001678

P(X = 1) = C(6, 1) × 0.84^(1) × (1 - 0.84)^(6 - 1) = 0.000528

P(X = 2) = C(6, 2) × 0.84^(2) × (1 - 0.84)^(6 - 2) = 0.006963

P(X = 3) = C(6, 3) × 0.84^(3) × (1 - 0.84)^(6 - 3) = 0.04855

Thus;

P(X ≤ 3) = 0.00001678 + 0.000528 + 0.006963 + 0.04855 = 0.05606

5 0
3 years ago
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