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Hoochie [10]
3 years ago
10

select the inequality that represents the relationship desribed below the sum of three times a number and seven is greater than

four times the number
Mathematics
1 answer:
solong [7]3 years ago
7 0

Answer:

There are many combinations based on the number you chose to subtract from both sides.

Step-by-step explanation:

Let the number be x.

According to the question,

3 x+7 > 4 x

We get, 3 x+1=4 x-6, after subtracting 6 from both sides.

3 x+1=4 x-6

4 x- 3 x=6+1

x=7

You will get the same answer if you subtract 3 x or 7 or any other number from both sides.

Thank you!

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Which statements about the hyperbola are true? Check all that apply.
never [62]

Answer:

Only option A is correct.

Step-by-step explanation:

From the given figure it is noticed that the vertices of hyperbola are (0,8) and (0,-8). It is a vertical hyperbola.

It means a=8.

From the rectangle we can say that the value of b is 6.

c^2=a^2-b^2

c^2=(8)^2+(6)^2

c^2=100

c=10

The focus of a vertical hyperbola are (0,c) and (0,-c). So, the focus of hyperbola are (0,10) and (0,-10).

Therefore option A is correct.

Asymptotes of a vertical hyperbola are

y=\pm \frac{a}{b}x

y=\pm \frac{8}{6}x

y=\pm \frac{4}{3}x

Directrix of a vertical hyperbola are

y=\pm \frac{a^2}{c}

y=\pm \frac{(10)^2}{6}

y=\pm \frac{50}{3}

Only option A is correct.

3 0
3 years ago
WILL GIVE BRAINEST TO CORRECT ANSWER (50 points)
Phoenix [80]

Answer:

children's: 111 and adults: 62

Explanation:

  • given total number of people 173
  • total amount received is $306
  • during the process, we shall consider x as children and y as adult

make equations:

x + y → 173    [ this was from total people ]

1.5x + 2.25y → $306   [ this was from cost ]

try to make x the subject:

x + y → 173

x → 173 - y ______equation 1

1.5x + 2.25y → $306

1.5x → 306 - 2.25y

x → \frac{ 306 - 2.25y }{1.5} __________equation 2

solve them simultaneously:

\frac{ 306 - 2.25y }{1.5} = 173 - y

306 - 2.25y = 259.5 - 1.5y

-2.25 + 1.5y = 259.5 - 306

-0.75y = -46.5

y = 62

so there were total 62 adults that day in the public swimming pool.

find children's using:

x → 173 - y

x → 173 - 62

x → 111

so there were total 111 children's  that day in the public swimming pool.

4 0
2 years ago
Help wanted pls math
Serjik [45]

Answer:

39 ft²

Step-by-step explanation:

Area of a triangle = 1/2bh

Let:

base = b = 4 ft

height = h = 3 ft

Solve for the area of the triangle:

A = 1/2(4)(3)

A = 2 * 3

A = 6 ft²

Area of a rectangle = bh

Let:

base = b = 9 ft

height = h = 5 ft

Solve for the area of the rectangle:

A = (9)(5)

A = 9 * 5

A = 45 ft²

Subtract the area of the triangle from the area of the rectangle:

45 - 6 = 39 ft²

39 ft² is your answer.

~

3 0
3 years ago
Read 2 more answers
PLEASE HELP I HAVE AN F IN MATH!!!!!!!!!!​
Karolina [17]

Answer:

C. 8, 11, 12, 13, 3, 8, 16, 13, 10

Step-by-step explanation:

If you put those in order least to greatest, least is 3, greatest is 16, median is 11, q1 is 8, and q3 is 13, which is what is displayed on the box plot

5 0
3 years ago
Read 2 more answers
Please help!!!!
faltersainse [42]

Answer:

I don't get the question...

Step-by-step explanation:

Please elaborate more...

Thank you!

3 0
3 years ago
Read 2 more answers
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