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Dominik [7]
3 years ago
12

Question 5 J, please provide each step

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

x = \frac{12}{5}

Step-by-step explanation:

Multiply all terms in the equation by the lowest common multiple of 3 and 5, that is 15. This will eliminate the fractions in the equation

10(1 - 2x) - 30x = - 6 + 20(2 - 3x) ← distribute and simplify both sides

10 - 20x - 30x = - 6 + 40 - 60x

10 - 50x = 34 - 60x ( add 60x to both sides )

10 + 10x = 34 ( subtract 10 from both sides )

10x = 24 ( divide both sides by 10 )

x = \frac{24}{10} = \frac{12}{5}

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Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost
zhenek [66]

Answer:

Carrots cost $ 1.75 a pound which is more than potatoes cost.

Step-by-step explanation:

Let,

Carrots cost $ x per pound and potatoes cost $ y per pound.

Buying 2 pounds of carrots  and 3 pounds of potatoes will cost her

$ (2\times x + 3\times y)

and

Buying 4 pounds of carrots and 4 pounds of potatoes will cost her

$ (4\times x + 4\times y)

According to the question,

(2\times x + 3\times y) = 8-----(1)

(4\times x + 4\times y) = 13-----(2)

multiplying (1) by 2 we get,

(4\times x + 6\times y) = 16-----(3)

Deducting (2) from (3) we get,

2\times y = 3

⇒ y = \frac{3}{2} = 1.5------------------(4)

Putting value of y in (1) we get,

(2\times x = 8 - 3\times 1.5) = 3.5

⇒  x =\frac{3.5}{2} = 1.75 ------------(5)

8 0
3 years ago
A fish tank, in the shape of a rectangular prism with dimensions 40 inches by 17 inches by 26 inches, is 95% filled with water.
kaheart [24]
The final answer for this question is 591.28 cubic cm
4 0
2 years ago
Andrew McCutchen hit 18 homeruns in 9 baseball games. At this rate, how many homeruns will he have hit
Feliz [49]

Answer:

if it's 18 home runs in 9 baseball games

then you're dividing 18 by 9 which is 2 home runs for every 9 baseball games

to prove if you're right (9×2=18)

if it's 11 baseball games then 11×2=22

Hope It Helps ☺️

6 0
3 years ago
Which of the following is a polynomial?
Tcecarenko [31]

Answer:

(D.) 3x^2 + 6x

Step-by-step explanation:

the other options aren't complete and some don't even create a parabola.

3 0
2 years ago
Evaluate gh- k when g= -6, h= 15, and k= -27.
Ivanshal [37]
Gh - k
<span>g= -6, h= 15, and k= -27
</span>
-6*15 - - 27
-90 + 27

-63 is the answer to the expression. 
4 0
3 years ago
Read 2 more answers
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