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andriy [413]
3 years ago
11

HELP POINTS FOR Each answEr quantity 4 times x plus 3 end quantity divided by 5 equals quantity 8 times x minus 1 end quantity d

ivided by 9.

Mathematics
2 answers:
andrey2020 [161]3 years ago
5 0

\displaystyle \frac{4x+3}{5} ^{/9}=\frac{8x-1}{9}  ^{/5} \\\\\\ 36x+27=40x-5 \\\\ 40x-36x=27+5\\\\ 4x=32 \\\\ \boxed{x=8 }

olga2289 [7]3 years ago
3 0

Step-by-step explanation:

Given fractional expression:

(4x+3)/5 = (8x-1)/9

By doing cross multiplication, we get

⇛4x(9) + 3(9) = 8x(5) - 1(5)

⇛36x + 27 = 40x - 5

Now, combine the like terms in one side.

⇛27x - 40x = -5 + 36

⇛-13x = 31

⇛x = 31/-13 Ans.

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dimaraw [331]
1:4
smaller side = 2
bigger side = 8 since 2/8 = 1/4
1/4 = 2/x
x=4*2=8
5 0
3 years ago
A cube has a surface area of 150 square inches (in)
Marta_Voda [28]

Answer:

25in²

Step-by-step explanation:

a cube has 6 faces

all of these are equal

therefore you need to divided 150 by 6

that's 25

the answer is 25 in²

3 0
3 years ago
Phones-R-Us charges $16.95 per month and $0.05 per text message. Awesome Wireless charges $22.95 per
Dima020 [189]

Answer:

S \leq 200

Step-by-step explanation:

Given

Phone R-Us= $16.95 + $0.05 per SMS

Awesome Wireless = $22.95 + $0.02 per SMS

Required

Determine the number of SMS such that Awesome Wireless is greater or equal to Phone R-Us

Represent the SMS with S

For Phone R-Us, we have:

SMS = 16.95 + 0.05S

For Awesome Wireless, we have:

SMS = 22.95 + 0.02S

For Awesome Wireless is greater or equal to Phone R-Us, we have:

22.95 + 0.02S \geq 16.95 + 0.05S

Collect Like Terms

0.02S - 0.05S \geq 16.95 - 22.95

-0.03S \geq -6

Solve for S

\frac{-0.03S}{-0.03} \geq \frac{-6}{-0.03}

S \leq 200

<em>Hence: for Awesome Wireless to cost more or equal to Phone R-Us, the number of SMS must not exceed 200</em>

4 0
3 years ago
Given a triangle with perimeter 63 cm, one side of which is 21 cm, and one of the medians is perpendicular to one of its angle b
kodGreya [7K]

Answer:

The lengths of all sides of the triangle will be 21 cm, 21 cm, and 21 cm

Step-by-step explanation:

Given that the perimeter of the triangle = 63 cm

And the length of one side = 21 cm

and one of the medians is perpendicular to one of its angle bisectors

Since triangle has 3 sides,

Median = 63 ÷ 3 = 21

Therefore each side length = 21 cm

3 0
3 years ago
How do I do this <br> X+y=-4<br> 3x-6y=15
avanturin [10]

Answer:

x=-1, y=-3. (-1, -3).

Step-by-step explanation:

x+y=-4

3x-6y=15

---------------

x=-4-y

3(-4-y)-6y=15

-12-3y-6y=15

-12-9y=15

9y=-12-15

9y=-27

y=-27/9

y=-3

x+(-3)=-4

x-3=-4

x=-4+3

x=-1

8 0
3 years ago
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