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daser333 [38]
3 years ago
11

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solutio

n set of this problem?
Mathematics
2 answers:
podryga [215]3 years ago
6 0

Answer:

x>16

Step-by-step explanation:

Let x be the unknown number

Given that 9 and one half less than 4 and one half times x is > 62.5

In algebraic terms this can be written as

4.5x-9.5>62.5

Add 9.5 to both the sides

We get

4.5 x> 72

Divide by 4.5

x>72/4.5 = 16

Hence answer is

x>16

kolbaska11 [484]3 years ago
4 0
4.5x - 9.5 > 62.5
4.5x > 62.5 + 9.5
4.5x > 72
x > 72/4.5
x > 16 <==
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%20-%20%20%5Cfrac%7B3%7D%7B8%7Dy%20%3D%203%20%5C%5C%20" id="TexFormula
MariettaO [177]

Answer:

(6, - 4 )

Step-by-step explanation:

Given the 2 equations

\frac{x}{4} - \frac{3}{8} y = 3 → (1)

\frac{5}{3} x - \frac{y}{2} = 12 → (2)

Multiply (1) by 8 and (2) by 6 to clear the fractions

2x - 3y = 24 → (3)

10x - 3y = 72 → (4)

Rearrange (3) expressing - 3y in terms of x by subtracting 2x from both sides

- 3y = 24 - 2x

Substitute 3y = 24 - 2x into (4)

10x + 24 - 2x = 72, that is

8x + 24 = 72 ( subtract 24 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Substitute x = 6 in either (3) or (4) and solve for y

Substituting in (3)

2(6) - 3y = 24

12 - 3y = 24 ( subtract 12 from both sides )

- 3y = 12 ( divide both sides by - 3 )

y = - 4

Solution is (6, - 4 )

3 0
3 years ago
Solve for x. Round to the nearest tenth of a degree, if necessary.​
MissTica

Answer:

x ≈ 54.8°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = \frac{opposite}{adjacent} = \frac{PQ}{QR} = \frac{7.1}{5} , then

x = tan^{-1} (\frac{7.1}{5} ) ≈ 54.8° ( to the nearest tenth )

4 0
2 years ago
What mixed number is equivalent to 12/10
kvasek [131]

Answer:

1 1/5

Step-by-step explanation:

To get the answer you pratically change 12/10 into a mixed number.

So you say 12 divided by 10 which is 1 leaving a remainder of 2

We write it like this:

1 2/10

We can then reduce it to its simpliest form and it becomes 1 1/5

HOPE IT HELPED

8 0
3 years ago
Read 2 more answers
Solve for x in the following equation g(5x +6) = g(8x + 4)
MrRissso [65]
<h2>Answer: </h2><h2>D. 2/3 or \frac{2}{3}</h2><h2>~</h2><h3>To solve for 'X', isolate the variable 'x' by dividing each side by factors that don't contain the variable 'x'.</h3><h3>Exact Form:</h3><h3>x = 2/3</h3><h2>~</h2>

Hope you have a good day, Loves!

Also if I'm right can you let me know, please?

<em>Also Also if I am right can I please have Brainliest??</em>

<u><em>You don't need to, I'm just glad I could help. ^^</em></u>

8 0
3 years ago
The graph shows the relationship between the hours a soccer team practiced after the season started and their total practice tim
Sergio [31]

Answer:

6 hours

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Let

x ----> the hours a soccer team practiced after the season started

y ----> the  total practice time for the year in hours

we know that

The y-intercept of a linear equation is the value of x when the value of y is equal to zero

In the context of this problem, the y-intercept is the  total practice time before the season began (the value of x is equal to zero)

Looking at the graph

The y-intercept is the point (0,6)

therefore

the  total practice time before the season began is 6 hours

5 0
3 years ago
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