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777dan777 [17]
2 years ago
7

Solve the following equations for the variable 10=2x+5 pls help

Mathematics
1 answer:
Shtirlitz [24]2 years ago
8 0

Answer:

x = 2.5

Step-by-step explanation:

10=2x+5

-5    -5

5 = 2x

----------

2       2

2.5 = x

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A hammock that hangs between two trees makes a parabola shape that has the equation y = 0.4(x- 3)² +1, where x is the distance f
34kurt

Answer:

A. The lowest point of the hammock is at the point 1 meters above the ground and 3 meters from one end of the hammock

B. The two trees are 6 meters away from one another

Step-by-step explanation:

The given equation of the parabola representing the hammock is as follows;

y = 0.4·(x - 3)² + 1

The general equation of a parabola is a·(x - h)² + k;

Where the coordinates of the vertex point of the parabola, which is the lowest (or highest, furthest) point on the vertex is (h, k) = (3, 1)

Therefore, we have;

A, The coordinates of the lowest point on the hammock is (3, 1)

Therefore, the lowest point of the hammock is at 1 meters above the ground and 3 meters from one end of the hammock

B.  Given that the distance from one end is "x", we have;

The height at which the hammock is attached is given as the point where x = 0 as follows;

Given that the vertex of the parabola represents the axis of symmetry of the parabola, we have that the horizontal distance from one end of the hammock to the vertex point of the parabola that the hammock forms is (3 - 0) meters = 3 meters

Therefore, by the definition of symmetry, the distance from the vertex point to the other end of the parabola that the hammock forms is also 3 meters

From which we have, the distance the two trees are from one another is 3 meters + 3 meters = 6 meters.

4 0
2 years ago
the base of a triangle prism has an area of 35m. this triangular prism has a height of 7m. what us the volume of this triangular
Trava [24]

Answer:

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5 0
3 years ago
James earned $39,600 last year. He paid $11,250 towards rent and $1,422 in car payments. What percent of his earnings did Jon pa
tester [92]
Step 1:
Add rent & car payments

=11,250+1422
=$12,672

Step 2:
to determine %, set up a proportion
12,672 is to his total of 39,600 as x is to 100

12,672/39,600 = x/100
cross multiply
(12,672)(100) = (39,600)(x)
1,267,200= 39,600x
divide both sides by 39,600
32%= x

OR

Alternative Step 2:
12,672 ÷ 39,600= 0.32
Alternative Step 3:
0.32 x 100 = 32%
or move decimal to the right 2 places

His rent and car payments are 32% of his earnings.

Hope this helps! :)
5 0
3 years ago
Read 2 more answers
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You have to subtract 5/4 by 2/3 but in order to do that you must find a common denominator or least common multiple so the least common denominator of 4 and 3 is 12 so you have to multiply 4 by 3 and three by 4 to make both denominators 12 but you have to do the same thing on the top as you did the bottom so: 5/4*3= 15/12 and 2/3*4=8/12 Then 15/12-8/12 is 7/12 so Jim has to run 7/12 more
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3 years ago
understanding trail ratingsWhat characteristics of a trail do you think determines the "trail rating?" Explain your thinking bel
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Step-by-step explanation:

its blue square sorry if its wrong i do my best ok

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