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3 years ago

List the first 10 triangular numbers

Mathematics

1 answer:

Paha777 [63]3 years ago

7 0

Answer:

0, 1, 3, 6, 10, 15, 21, 28, 36, 45

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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

3 years ago

The graph below shows the solution set of which inequality?

Marina CMI [18]

$\Large \boldsymbol{} \pmb {Answer: |x|$

Step-by-step explanation :

$\displaystyle \Large \boldsymbol{} |x|< 6 =>{ \left \{ {{\!\!\!x< 6} \atop {x> -6}} \right. } => \boxed{x \in (-6 ; 6 )} \ \ right$

7 0

3 years ago

A row of 12 desks measures 27 feet. How many feet long is each desk? *

Lelechka [254]

I believe this is a simple problem and the desks are 2 1/4 feet long.

3 0

3 years ago

99 POINTS!!! Find the equation for an ellipse with vertices at (-6, 0) and (6, 0) and foci at (-4, 0) and (4, 0).

Firdavs [7]

(x^2)/a^2+(y^2)/b^2=1
a>b
a=6, a^2=36
foci=(a^2-b^2)^(1/2)
4=(36-b^2)^(1/2)
16=36-b^2
b^2=36-16
b^2=20
b=2(5)^(1/2) or (20)^(1/2)
1=(x^2/36)+(y^2/20)

4 0

3 years ago

Read 2 more answers

-2|x-4|+7=-3 how do i solve this absolute value problem

ira [324]

Let's do this step by step:
Subtract both sides by 7
-2|x-4|= -10
Divide each side by -2
|x-4|= 5
Now since this is an absolute value equation, you will have two answers. This means you make the equation both positive and negative.
X-4= 5and -(x-4)= 5
Solve for x for both
X-4= 5: add four on both sides
X= 9
-x+ 4= 5: subtract 4 and divide by -1
X= -1
So your answer is: X= -1 , 9

4 0

3 years ago