HWhat is the volume of this right rectangular prism? H=3.5 W=2 L=7

Last month robert sold three quarters of his inventory and then bought 3,000 in new inventory.If he now has 6,000 in inventory h

Gnom [1K]

Answer:

He have at the beginning inventory of 4,000.

Step-by-step explanation:

Given:

Last month robert sold three quarters of his inventory and then bought 3,000 in new inventory.

If now he has 6,000 in inventory.

Now. to find inventory he have at the beginning of last month.

Let the inventory at the beginning of last month be $x.$

The inventory he sold last month:

$\frac{3}{4}\ of\ x$

$=\frac{3}{4} \times x$

$=\frac{3x}{4}$

Then, he bought inventory 3,000 in new inventory.

Now, he has 6,000 in inventory.

So, we set an equation to solve it:

$\frac{3x}{4} +3000=6000$

Subtracting both sides by 3000 we get:

$\frac{3x}{4} =3000$

Multiplying both sides by 4 we get:

$3x=12000$

Dividing both sides by 3 we get:

$x=4000.$

Therefore, he have at the beginning inventory of 4,000.

3 0

4 years ago

Sanjay graphs a quadratic function that has x-intercepts of –3 and 7. Which functions could he have graphed? Check all that appl

Alchen [17]

Answer:

g(x) = x^2 – 4x – 21
g(x) = 3x^2 – 12x – 63
g(x) = –(x + 3)(x – 7)

Step-by-step explanation:

When r is an x-intercept of the function, (x -r) is a factor. The two given x-intercepts mean that two factors of the function are (x -(-3))(x -7). There may be a vertical scale factor that is not necessarily positive.

These factors multiply out to give ...

(x +3)(x -7) = x^2 -4x -21 . . . . . . matches the first choice

When this expression is multiplied by 3, it matches the third choice:

3(x +3)(x -7) = 3x^2 -12x -63

When the factored form is multiplied by -1, it matches the fourth choice:

-(x +3)(x -7)

5 0

3 years ago

Read 2 more answers

Subtract the second equation from the first

vekshin1

4x+3y=8

-

8x+3y=14

=

-4x=-6

=

4x=6

4 0

4 years ago

Ms Singh wants to buy a new television that costs £840

amm1812

Cost of a television Ms. Singh wants to buy = £840

Ms. Singh's weekly wage = £300

Money she saves each week :

= 40% of her weekly wage

$=\tt 40\% \: of \: 300$

$= \tt \frac{40}{100} \times 300$

$=\tt \frac{40 \times 300}{100}$

$=\tt \frac{12000}{100}$

$\color{plum} = \tt£120$

Thus, Ms. Singh's weekly savings = £120

Number of weeks in which she will be able to buy a TV :

$= \tt \frac{840}{120}$

$\color{plum} =\tt 7 \: weeks$

Therefore, Ms. Singh will be able to buy a TV from her savings in 7 weeks.

7 0

3 years ago

A starter motor used in a space vehicle has a high rate of reliability and was reputed to start on any given occasion with proba

GuDViN [60]

Answer:

0.095163

Step-by-step explanation:

given that a starter motor used in a space vehicle has a high rate of reliability and was reputed to start on any given occasion with probability .99999

Here we find that for any start, there are exactly two outcomes either success or failure.

Also each start is independent of the other since p = 0.99999 for succss is given constant.

Thus X no of successes is binomial with p = 0.99999 and n =10000

If Y is taken as failure then Y is binomial with p' = 0.00001 and n =10000

Required probability

= the probability of at least one failure in the next 10,000 starts

= 1-P(no failure in 10000 starts)

= $1-(0.99999)^{10000} \\=0.095163$

4 0

4 years ago