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AlekseyPX
2 years ago
14

A law firm ordered 90 boxes of paper clips. There were 80 paper clips in each box. How many

Mathematics
2 answers:
Lerok [7]2 years ago
8 0

Answer:

7,200 paper clips

Step-by-step explanation:

80*90=7,200

Mrac [35]2 years ago
6 0

Answer:

7200

Step-by-step explanation:

80*90=7200

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Which of the a-values satisfy the following inequality?<br> 7 + a &lt; 11
Zolol [24]

Answer:

a < 4

Step-by-step explanation:

7 + a < 11

Subtract 7 from each side

7+a-7 <11-7

a < 4

7 0
3 years ago
Read 2 more answers
Solve the following system of equations: <br>y=2x + 1 <br>y = -x+4<br><br>x= ?<br>y=?​
patriot [66]

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1,  add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3

4 0
3 years ago
Use the given information to write the equation of the parabola.
m_a_m_a [10]

Answer:

x² = -2y

Step-by-step explanation:

The focus is p away from the vertex, and so is the directrix.

To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.

  • Horizontal parabola [Standard form]: (y – k)² = 4p(x – h)
  • Vertical parabola [Standard form]: (x – h)² = 4p(y – k)

If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).

Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).

For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).

You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).

If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.

Now we can just plug in our known information to derive the equation!

h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →

(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →

x² = -2y.

Also p = 1/4a, if you are wondering.

So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.

8 0
3 years ago
Read 2 more answers
What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?
melamori03 [73]

Answer:

2 units

Step-by-step explanation:

none

8 0
3 years ago
Rectangular prism A measures 2 inches by 7 inches by 8 inches. Rectangular prism B measures 1 inches by 5 inches by 10 inches.
satela [25.4K]

The Volume for Rectangular prism A is 172 inches², Volume = 112 inches³

Surface Area to Volume Ratio = 43/28

<h3>Mensuration of Solids</h3>

Given Data

Rectangular prism A

Length = 2 inches

Width = 7 inches

Height = 8 inches

Surface Area

A=2(wl+hl+hw)

A=2(7*2+8*2+8*7)

A=2(14+16+56)

A= 172 inches²

Volume

Volume = L*W*H

Volume = 2*7*8

Volume = 112 inches³

Surface Area to Volume Ratio

= 172/112

= 43/28

Learn more about Mensuration of Solids here:

brainly.com/textbook-solutions/q-7-composite-figures-use-diagram-backpack-right

#SPJ1

7 0
1 year ago
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