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Slav-nsk [51]
3 years ago
15

Evaluate the expression.

Mathematics
1 answer:
tangare [24]3 years ago
8 0

Absolute values make any value, positive and negative, always be positive.


So,


| 18 | = 18

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represent the following sentence as an algebraic expression, where A number is X. A number more than 2.​
xxMikexx [17]

Answer:

A>2 = X

If you simplify this then it just means A=X but A is more then 2.

I think ...

6 0
3 years ago
Solve the compound inequality
Juli2301 [7.4K]

Answer:

<u>Given inequality:</u>

  • -5r + 7 ≥ -7 - 6r ≥ 4r + 3

<u>Solve in parts:</u>

  • -5r + 7 ≥ -7 - 6r ⇒ 6r - 5r ≥ -7 - 7 ⇒ r ≥ -14
  • -7 - 6r ≥ 4r + 3 ⇒ 4r + 6r ≤ -7 - 3 ⇒ 10r ≤ -10 ⇒ r ≤ -1

<u>Combine into one:</u>

  • -14 ≤ r ≤ -1

or

  • r = [-14, -1]
4 0
3 years ago
You and your friend collect each rocks and fossils. your friend collects three times as many rocks and half as many fossils as y
Murljashka [212]

Answer:

  • you - 4 rocks and 16 fossils
  • friend - 12 rocks and 8 fossils

Step-by-step explanation:

Let the rock be r and the fossil be f

<u>Equations</u>

  • You: r + f = 20
  • Friend: 3r + 1/2f = 20

<u>Double the second equation and subtract the first one:</u>

  • 2(3r + 1/2f) - (r - f) = 2*20 - 20
  • 6r - r = 20
  • 5r = 20
  • r = 4

<u>Then find f:</u>

  • f = 20 - 4 = 16

So you collect 4 rocks and 16 fossils

<u>Friend collects:</u>

  • 4*3 = 12 rocks and
  • 1/2*16 = 8 fossils
8 0
3 years ago
g The background of a printed company logo is in the shape of an ellipse with height 20 inches and width 24 inches. Find an equa
myrzilka [38]

Answer:

Equation is x^2/576+y^2/400=1

Vertical height is 19.84inches

Step-by-step explanation:

The equation of an ellipse with horizontal major axis with center at (0,0) is x^2/a^2+y^2/b^2=1

From the question, a=24 and b=20

Therefore the equation of the ellipse = x^2/24^2+y^2/20^2=1

= x^2/576+y^2/400=1

To calculate vertical height y:

y^2/400=1- x^2/576

y^2=(1- x^2/576)*400

y=20√(1- x^2/576)

At x=3 inches from the centre

y=20√1-0.0156

y=20*0.9922

y=19.84inches

3 0
4 years ago
Emilia wrote a total of 12 pages over 4 hours. After spending 6 hours writing this week, how
Strike441 [17]

Answer:

30 pages

Step-by-step explanation:

Knowing she wrote 12 pages in 4 hours, we can do 12/4 to get 3 pages per hour. Multiply 3 pages by the 6 hours she spends writing and you get 18 pages in 6 hours. Add 12 pages and 18 pages and you have 30 pages.

8 0
3 years ago
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