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Ne4ueva [31]
3 years ago
15

4. Find each quotient. a.18/-3 b.-5/-1 c.24/-6 d.-10/-1 e.-25/5 f.8/-2

Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0

Answer:

Step-by-step explanation:

a.18/-3  = (-6)

b.  -5/-1 = 5

c. 24/-6 = (-4)

d. -10/-1  = 10

e. -25/5 =(-5)

f.    8/-2 = (-4)

In multiplication and division, if there are are odd number of negative signs, the result will have negative sign.

If there are even number of negative signs, the the result will have positive sign

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diamong [38]

1. move 78.2 over to the over side. This will give you 287-78.2.

2. when you have .5x = 208.8, divide both sides by .5

3. this should give you x= 417.6

4. make sure to check your work by plugging you answer back into x.

4 0
3 years ago
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An ant brain has approximately 300,000 brain cells. If an army ant colony consists of 75,000 members, how many brain cells do th
irina [24]

Answer:

22500000000

Step-by-step explanation:

75,000 times 300,000 equals 22500000000

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3 years ago
Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6
Ivan

Step-by-step explanation:

If the parabola has the form

y = a(x - h)^2 + k (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

y = \dfrac{1}{6}(x - 8)^2 + 6

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

\text{focus} = (h, k +\frac{1}{4a})

where \frac{1}{4a} is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6

5 0
3 years ago
A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

C = Children; S = Students; A = Adults

For the capacity, we have:

C + S + A = 329

For the tickets sold, we have:

5C + 7S + 12A = 2388

Half as many as adults are children implies that:

A = \frac{C}{2}

Required

Solve for A, C and S

The equations to solve are:

C + S + A = 329 -- (1)

5C + 7S + 12A = 2388 -- (2)

A = \frac{C}{2} -- (3)

Make C the subject in (3)

C = 2A

Substitute C = 2A in (1) and (2)

C + S + A = 329 -- (1)

2A + S + A = 329

3A + S = 329

Make S the subject

S = 329 - 3A

5C + 7S + 12A = 2388 -- (2)

5*2A + 7S + 12A = 2388

10A + 7S + 12A = 2388

7S + 22A = 2388

Substitute S = 329 - 3A

7(329 - 3A) + 22A = 2388

2303 - 21A + 22A = 2388

2303 +A = 2388

Solve for A

A = 2388 - 2303

A = 85

Recall that: C = 2A

C = 2 * 85

C = 170

Recall that: S = 329 - 3A

S = 329 - 3 * 85

S = 329 - 255

S = 74

Hence, the result is:

C = 170

S = 74

A = 85

8 0
3 years ago
TIMED TEST HELP PLEASE​
Allisa [31]
It’s -3 mate good luck on your test :)
7 0
3 years ago
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