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Lelechka [254]
4 years ago
14

One number is 9 more than 3 times another. If their difference is 29, what is the larger number?

Mathematics
2 answers:
vfiekz [6]4 years ago
6 0

Answer:

39

Step-by-step explanation:

x-3y=9

x-y=29

subtract

-2y=-20

y=10

x-10=29

x=39

hodyreva [135]4 years ago
3 0

Answer:

<h2>39</h2>

Step-by-step explanation:

x,y-\text{numbers}\\\\\text{One number is 9 more than 3 times another:}\ x=3y+9\\\text{Their difference is equal to 29:}\ x-y=29\\\\\text{We have the system of equations}\\\\\left\{\begin{array}{ccc}x=3y+9&(1)\\x-y=29&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\(3y+9)-y=29\\3y+9-y=29\qquad\text{subtract 9 fro both sides}\\3y-y+9-9=29-9\qquad\text{combine like terms}\\2y=20\qquad\text{divide both sides by 2}\\\dfrac{2y}{2}=\dfrac{20}{2}\\y=10\\\\\text{Put it to (1):}\\x=3(10)+9\\x=30+9\\x=39

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Answer:

760

Step-by-step explanation:

6 0
3 years ago
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Showton Middle School has 840 students. Teresa surveys a random sample of 60 students and finds that 8 of them have more than 3
Digiron [165]

Answer:

112

Step-by-step explanation:

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Number of students surveyed = 60

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Number of students of the 840 with siblings > 3 = 840/60*8 = 112

5 0
3 years ago
Which is the equation of an ellipse with directrices at y = ±2 and foci at (0, 1) and (0, −1)?
Alika [10]

The answer will be x squared over 4 plus y squared over 8 equals 1.

<h3> What is an ellipse?</h3>

An ellipse is an oval shape geometry having two focuses and the curve is equidistant from the focus.

The general equation of the ellipse is given as;

(x²/a²) + (y²/b²) = 1

The coordinates of a foci are: (±c, 0) where;

c² = b² - a²

However, we know that equation of directrix is; x = ±a/e

Now, Directrix is given ±4

Thus, a/e = 4

a = 4e

We also know that c = ae from ellipse foci coordinates.

Thus, ae = 2

since ae = 2, then (4e)e = 2

4e² = 2

e² = 2/4

e = 1/2

Thus;

a = 4 × 1/2

a = 2

Since c² = b² - a²;

2² = b² - 2²

4 = b² - 4

b² = 8

From (x²/a²) + (y²/b²) = 1, we can put our values to get;

x²/4 + y²/8 = 1

Hence the answer will be x squared over 4 plus y squared over 8 equals 1.

To know more about an ellipse follow

brainly.com/question/16904744

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7 0
2 years ago
Could anyone help me solve this problem please?
zepelin [54]
The answer is 3s squared over r to the 4th

it should look like a fraction with 3s squared as the numerator (on top) && r to the 4th as the denominator (on bottom) 

hope this was helpful, math is my strength so post more if you need help!


3 0
4 years ago
Which of the following is in the solution set of the inequality –3 &gt; –3t + 6?
nekit [7.7K]
For this we want to switch the sides to start out. 
-3t + 6 < -3
Now we want to subtract 6 from both sides...
-3t + 6 - 6 < -3 - 6
Simplify it.
-3t < -9
Now we want to reverse the inequality and multiply both sides by -1
(-3t) (-1) > (-9)(-1)
Simplify yet again.
3t > 9
Divide both sides by 3 now.
3t/3 > 9/3
Now we can say that t > 3.
Hope this helps!
6 0
4 years ago
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