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alex41 [277]
3 years ago
8

For which value of x is the equation 4x + 24 = 8x + 2x true?

Mathematics
2 answers:
andrew-mc [135]3 years ago
8 0

Answer:

x=4

Step-by-step explanation:

4x+24=8x+2x

We'll combine the 8x and the 2x on the right side.

4x+24=10x

Now, we'll subtract 4x from both sides.

24=6x

Divide both sides by 6.

4=x

Ta-da!

vredina [299]3 years ago
8 0

Answer: d.) 4

Step-by-step explanation:

4x + 24 = 8x+ 2x

4x + 24 = 10x

4x - 10x = -24

-6x = -24 --> x=4

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A cylinder has a helght of 16 cm and a radius of 5 cm. A cone has a helght of 12 cm and a radius of 4 cm. If the cone is placed
erma4kov [3.2K]

Answer:

1055.04 cm³

Step-by-step explanation:

Given that,

Height of a cylinder, h = 16 cm

Radius of the cylinder, r = 5 cm

The height of a cone, h' = 12 cm

The radius of a cone, r' = 4 cm

The volume of the cylinder will be :

V=\pi r^2 h\\\\=3.14\times 5^2\times 16\\\\=1256\ cm^3

The volume of a cone is given by :

V'=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times (4)^2\times 12\\\\=200.96\ cm^3

Volume of the air surrounding the cone Inside the cylinder = 1256 - 200.96 = 1055.04 cm³

Hence, the required answer is equal to 1055.04 cm³.

3 0
2 years ago
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Nostrana [21]

Answer:

10

Step-by-step explanation:

4 0
2 years ago
PLS SOLVE THIS ASAP!!!
Gre4nikov [31]
Put it as number of donuts over price..... because it's x over y
3 0
3 years ago
A music store sold a total of 27 used trumpets and clarinets in one month. Trumpets cost $149 and clarinets cost $99. If total s
vodomira [7]
Answer: 16

Solution:

1) Use letters to identify the variables:

Number of trumpets: t
Number of clarinets: c

2) Translate each statement into algebraic (mathematical) language.

2.1) Sold a total of 27 used trumpets and clarinets

=> t + c = 27

2.2) Trumpets cost $149 and clarinets cost $99

Total cost of the trumpets: 149t
Total cost of clarinets: 99c

Total cost = 149t + 99c

2.3) Total sales were $3223

=> 149t + 99c = 3223.

3) State the system of equations:

Equation (1) t + c = 27
Equation (2) 149t + 99c = 3223

4) Solve the system of equations:

4.1) Multiply equation 1 by 149:

=> 149t + 149c = 4023

4.2) Subtract the equation (2) from the equation obtained in 4.1

=> 149c - 99c = 4023 - 3223

=> 50c = 800

=> c = 800 / 50 = 16

5) Verify the solution:

From equation (1) t = 27 - 16 = 11

Total cost = 149*11 + 99*16 = 3223

Now you have a verified answer: they sold 16 clarinets
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3 years ago
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aksik [14]

Answer:

If asking for the distance, the answer would be C.

4 0
2 years ago
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