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soldier1979 [14.2K]
3 years ago
14

Really struggling with this one. Can someone help please?​

Mathematics
2 answers:
krek1111 [17]3 years ago
8 0

Answer:

12

Step-by-step explanation:

M is in the middle between S and T we know 2x+6 has to be the same as 3x+3 if 3x is one more x then 2x then we do 6-3 that eqauls 3 so X=3 and 2*3=6 and 6+6= 12.

spayn [35]3 years ago
3 0

Hey there! :D

Answer:

\huge\boxed{SM = 12}

SM = 2x + 6

MT = 3x + 3

M is the midpoint of SM

Write an expression to represent the length of ST:

ST = SM + MT

ST = 2x + 6 + 3x + 3

Combine like terms:

ST = 5x + 9

Since ST = 2(SM), set up another equation:

5x + 9 = 2(2x + 6)

5x + 9 = 4x + 12

Isolate the "x" variable:

5x - 4x = 12 - 9

x = 3.

Substitute in this value of "x" into the equation for SM:

2(3) + 6 = 12.

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JulsSmile [24]

Answer:

  the correct choice is marked

Step-by-step explanation:

Let x represent the smaller number. Then the larger number is 8x, and the difference is ...

  8x -x = 280

  7x = 280 . . . . . simplify

  x = 40 . . . . . . divide by 7

The larger number is 8x = 8(40) = 320.

_____

<em>Additional comment</em>

Effectively, we have solved for the multiplier (40) that gives the ratio with 320 on top and a difference between top and bottom of 280:

  \dfrac{8}{1}=\dfrac{8\cdot40}{1\cdot40}=\dfrac{320}{40}

4 0
2 years ago
The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number? wr
dimaraw [331]
Xy is the number

A) x + y = 7
B) 10y + x = 10x + y + 9
collecting terms of equation B
B) -9x + 9y = 9
multiplying A) by 9
A) 9x + 9y = 63  then adding it to equation B)
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The number is 34


4 0
3 years ago
13x + 7x - 4x = (-40)
dlinn [17]
13x + 7x - 4x = -40
combine like terms o0n the left
16x = -40
divide both sides by 16
x = -5/2 or -2.5
5 0
3 years ago
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Please help, thanks.
Svetllana [295]

\text{Apply Pythagorean theorem,}\\ \\~~~~~~12^2 = 3^2 + h^2\\\\\implies h^2 = 12^2 -3^2\\\\\implies h^2 = 144-9\\\\\implies h^2 = 135\\\\\implies h = \sqrt{135}\\\\\implies h = 3\sqrt{15}\\\\\implies h \approx 11.62

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2 years ago
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2 years ago
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