Solve the x−4<2 or 4x−1>4 and write the solution in interval notation

If the quotient of a number and 6 is added to 1/3, the result is 7/6. Find the number.

lisabon 2012 [21]

The number is 4.

<h3>What is the Quotient?</h3>

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

Let n be the number in question; then, we can write the word problem as an equation like this:

⇒ (n/6) + 1/3 = 7/6

Multiply everything by the least common multiple of all the denominators (6, 3, 6), which is 6.

⇒ 6(n/6) + 9(1/3) = 6(7/6)

⇒ n + 3 = 7

Subtract 3 from both sides,

⇒ n = 4

Hence, the number is 4.

Learn more about the quotient here:

brainly.com/question/27796160

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3 0

1 year ago

Given 2x² = -8, x is A) -2 B) 2 C) 2i or -2i B) 4i or -4i NO LINKS!!!

faust18 [17]

Answer:

2x^2=-8

2x^2/2=-8/2

x^2=-4

x=2

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY.

4 0

3 years ago

Two kinds of perfume are packaged in square pyramidal bottles. Perfume A is packaged in a bottle with a base of 3 inches square

kondor19780726 [428]

Answer:

The bottle of perfume A contains more glass

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four triangular faces

step 1

Find the surface area of Perfume A

$SA=3^{2} +4[\frac{1}{2}(3)(2.5)]=24\ in^{2}$

step 2

Find the surface area of Perfume B

$SA=2.5^{2} +4[\frac{1}{2}(2.5)(3)]=21.25\ in^{2}$

step 3

Compare the surface areas

$24\ in^{2}>21.25\ in^{2}$

therefore

The bottle of perfume A contains more glass

6 0

3 years ago

You need about 1 1/2 hours to set up a computer workstation. At this rate, how many hours should it take you to set up 7 of thes

Serhud [2]

Answer:

You would need 10 1/2 hours to set up 7 workstations.

Step-by-step explanation:

Multiply the amount of workstations by the rate at which they are set up.

$7 * 1.5 = 10.5$

6 0

3 years ago

During a blizzard it snowed 5 and 8/10in after a week the sun had melted 3 and 1/2 inches of snow how many inches of snow is lef

WITCHER [35]

$2\frac{3}{10}$ inches of snow is left

Solution:

Given that,

From given,

$Original\ amount\ of\ snow = 5\frac{8}{10}\ inches = \frac{10 \times 5 + 8}{10} = \frac{58}{10}\ inches$

$Sun\ melted = 3\frac{1}{2}\ inches = \frac{2 \times 3 + 1}{2} = \frac{7}{2}\ inches$

how many inches of snow is left

Snow left = original amount of snow - sun melted

$Snow\ left = \frac{58}{10} - \frac{7}{2}\\\\Snow\ left = \frac{58}{10} - \frac{7 \times 5}{2 \times 5}\\\\Snow\ left = \frac{58}{10} - \frac{35}{10}\\\\Snow\ left = \frac{58 - 35}{10}\\\\Snow\ left = \frac{23}{10}\\\\\In\ mixed\ fractions\\\\Snow\ left = 2\frac{3}{10}$

Thus $2\frac{3}{10}$ inches of snow is left

3 0

3 years ago