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2 years ago

How many times does 15 go into 49

Mathematics

2 answers:

Drupady [299]2 years ago

3 0

3.266666666666667 times

kodGreya [7K]2 years ago

3 0

It only goes 3 times.

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a trip from New York city to Seattle is 2,852.1 miles. a family wants to make the drive in 10 days, driving the same number of

Nastasia [14]

2,852.1 miles / 10 days = about 285.21 miles per day .

6 0

3 years ago

Read 2 more answers

A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :

For the first parenthesis:

$x^{2}+6x+b^{2}$

We can rewrite this as:

$x^{2}+2(3)x+b^{2}$

Hence in this case $b=3$ and $b^{2}=9$ :

$x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}$

For the second parenthesis:

$y^{2}-8y+b^{2}$

We can rewrite this as:

$y^{2}-2(4)y+b^{2}$

Hence in this case $b=-3$ and $b^{2}=9$ :

$y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}$

Then, equation (5) is rewritten as follows:

$(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16$ (6)

Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.

Rearranging:

$(x-3)^{2}+(y-4)^{2}=100$ (7)

At this point we have the circle equation in the center radius form $(x-h)^{2} +(y-k)^{2}=r^{2}$

Hence:

$h=-3$

$k=4$

$r=\sqrt{100}=10$

8 0

2 years ago

Is 2/3greater than 0.67

pickupchik [31]

Answer:

0.67>2/3

Step-by-step explanation:

If you divide 2 by 3, you will end up with 0.6.

Now, you can compare the two numbers 0.6 and 0.67.

3 0

2 years ago

Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?

Vilka [71]

Answer:

20 questions.

Step-by-step explanation:

Let x be the number of questions on the quiz.

85 % means 85 out of 100 (or 85/ 100 )

85/ 100 = 3/x

--->100-85=15

--->15/3=5

--->100/5=20

Meaning each question was worth 5% and there were 20 questions.

5 0

2 years ago

What is the solution to -|-5 + 2|.

prisoha [69]

Im guessing those are those brackets?

3 0

2 years ago