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2 years ago

Solve the following inequality: x+5≤(−x+2)+x

Mathematics

1 answer:

vesna_86 [32]2 years ago

4 0

Answer:

Step-by-step explanation:

x + 5 ≤ ( - x + 2) + x

<u>Remove the parenthesis</u>

That's

x + 5 ≤ - x + 2 + x

x + 5 ≤ 2

Using the subtraction property subtract 5 from both sides

That's

x + 5 - 5 ≤ 2 - 5

x ≤ 2 - 5

We have the final answer as

Hope this helps you

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The Sun is roughly 10^2 times as wide as the Earth. The Star KW Sagittarii is roughly 10^5 times as wide as the Earth. About how

Studentka2010 [4]

Answer:

1000 times

Step-by-step explanation:

Given:

The Sun is roughly 10^2 times as wide as the Earth.

The Star KW Sagittarii is roughly 10^5 times as wide as the Earth.

Question asked:

About how many times as wide as the Sun is KW Sagittarii?

Solution:

Let the width of the earth = $x$

As the Sun is roughly 10^2 times as wide as the Earth, hence the width of the sun = $x\times10^{2}$

And as the Star KW Sagittarii is roughly 10^5 times as wide as the Earth, hence the width of the Star = $x\times10^{5}$

Now, to find that how many times width of the Star KW Sagittarii is as respect to the width of the Sun, we will simply divide:

Width of the Star KW Sagittarii = $x\times10^{5}$

Width of the Sun = $x\times10^{2}$

$\frac{x\times10^{5} }{x\times10^{2} }$

x canceled by x

$\frac{10^{5} }{10^{2} } =10^{5-2} =10^{3} =10\times\ 10\times10=1000$

Therefore, Star KW Sagittarii is 1000 times wider than Sun.

<em>First of all we calculated width of Sun in terms of width of earth and then calculated the width of the Star in terms of earth and for comparison we did simple division that showed that the Star KW Sagittarii is 1000 times wider than the Sun.</em>

<em />

4 0

2 years ago

Given MTS and SQP, find sq

STALIN [3.7K]

The measure of the side SQ from the given diagram is 19/6

<h3>Similar shapes</h3>

Similar shapes are shapes that has equal length and equal side measures and angles.

From the given diagram, the measure of the sides TSis congruent to SP and the measure of MS is congruent to SQ.

Using the expression below to determine the value of x

MS/ST = SQ/SP

Given the following parameters

MS =30

ST = 10

SQ = 6x-1

SP = 3 - 2x

Substitute the given parameters into the formula to have:

30/10 = 6x-1/3-2x

Cross multiply

10(6x-1) = 30(3-2x)

Expand

60x - 10 = 90 - 60x

60x + 60x = 90 + 10

120x = 100

x = 10/12

x = 5/6

Determine the measure of SQ

SQ = 6x - 1

SQ = 5(5/6) - 1

SQ = 25/6 - 1

SQ = 19/6

Hence the measure of the side SQ from the given diagram is 19/6

Learn more on similar triangles here: brainly.com/question/4163594

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1 year ago

Reflect the quadrilateral graph on the x axis graph <br><br>is the X-axis reflection right?

agasfer [191]

Answer:

Step-by-step explanation:

No . B' (reflection of B) and C' (reflection of C) are in the right position, but D' should be at (4, 1) and A' should be at (-2,-4).

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2 years ago

when jane uses her calling card overseas, the cost of a phone call is .75 for the first three minutes and. 12 for each additiona

artcher [175]

26 minutes, would = 3.51. if you add .12 to that it is 3.63.
so the most that she could talk would be 26 minutes.

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2 years ago

Algebraic expression for 6 notebooks at S dollars

swat32

6=S
therefore, to find one you must divide both sides by 6
the answer should be = 1=S/6

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3 years ago