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kirza4 [7]
3 years ago
10

Solve the inequality for w. 5 (w – 3) < 5W + 20

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
8 0

Answer:

All real solutions

Step-by-step explanation:

5w - 15 < 5w + 20

subtract 5w from both sides

-15 < 20

since it is true and there are no variables left. all real solutions will make this true

defon3 years ago
3 0

Answer:

w < w + 7

Step-by-step explanation:

5w-15 < 5w+20

divide all by 5 =

w < w + 7

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Jina wants to measure the width of a river. She marks off two right triangles, as shown in the figure. The base of the larger tr
Brilliant_brown [7]

Answer:

width of a river = 45m

Step-by-step explanation:

ration and proportion

let x = width of a river

x            20.9 m

------  =    --------

56 m       26 m

x = (20.9 * 56) / 26

x = 45 m

therefore the width of a river is 45 m

7 0
3 years ago
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
valkas [14]

Answer:

984

Step-by-step explanation:

Solve for the base: 14 x 10

Solve for the sides: 2(1/2(10 x 24))

Solve for the backside: 10 x 24

Solve for the slanted plane or front: 14 x 26

3 0
2 years ago
Read 2 more answers
Part 2!
olga2289 [7]
Math is about number sense and matching patterns. You get number sense by playing with numbers: counting, arranging. Most people do not find it difficult to match patterns, as our brains are wired to see them--sometimes even when they aren't there.

The picture below is pretty much all you need to know to answer these questions. It is a short course on arithmetic and geometric sequences. (We have left out some simplifications that can be made to the formulas for Nth term, and we have not shown formulas for the sum of a sequence.)

1. Geometric sequence with first term 5, common ratio 2. It will have the formula
.. f(n) = 5*2^(n-1) . . . . . . I can't read your picture to tell whether that is B or D

2. Arithmetic sequence with first term 1 and common difference 3. It will have the formula
.. f(n) = 1 +3(n -1) . . . . . . matches A

3. Geometric sequence with first term 2 and common ratio 3/2 = 1.5. It will have the formula
.. f(n) = 2*1.5^(n -1) . . . . . matches C

4. Geometric sequence with first term 600 and common ratio 60/600 = 0.1. It will have the formula
.. f(n) = 600*0.1^(n-1)
This can be simplified using the rules of exponents to
.. f(n) = 600*(0.1^-1)*(0.1^n)
.. f(n) = 6000*0.1^n . . . . . . matches A

5. The sequence is 12, 11, 10, 9, .... It is an arithmetic sequence with first term 12 and common difference -1. It will have the formula
.. f(n) = 12 +(-1)*(n -1)
.. f(n) = 12 -(n -1) . . . . . . matches B

6. This is an arithmetic sequence with first term 8 and common difference -0.5. It will have the formula
.. f(n) = 8 -0.5(n -1)
.. f(n) = 8.5 -0.5n . . . . . . matches C

7 0
3 years ago
Read 2 more answers
What is the range of the function represented by this graph?
Lera25 [3.4K]

Answer:

A. y ≤ 1

Step-by-step explanation:

according to the graph, the coordinates of maximum value is (-3, 1) and besides the graph towards down, so, the range of the function is y ≤ 1

4 0
3 years ago
PLEASE SOLVE. FIRST ANSWER WITH EXPLANATION GETS MOST BRAINLIEST AND 10 POINTS. THANKS ;)
Murljashka [212]
Total angle sum will always equal 360 degrees. Due to vertical angles theorem, we know the angles opposite the polynomials also equal the polynomials. So, we can double both of them (like solving for perimeter) and sum them to 360.

Thus, 360 = 2(2x + 10) + 2(x+ 5)

360 = 2(2x + 10 + x + 5)
360 = 2(3x + 15)
180 = 3x + 15
165 = 3x
x = 55
7 1
2 years ago
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