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olga_2 [115]
3 years ago
11

HELP me PLS ASAP Write the following expressions as one fraction: (7x+4/8y) − (3x−1/6y)

Mathematics
1 answer:
GrogVix [38]3 years ago
7 0

\dfrac{7x+4}{8y}-\dfrac{3x-1}{6y}\\\\\text{common denominator is 24y}\\\\=\dfrac{(3)(7x+4)}{(3)(8y)}-\dfrac{(4)(3x-1)}{(4)(6y)}\\\\\text{use distributive property}\\\\=\dfrac{(3)(7x)+(3)(4)}{24y}-\dfrac{(4)(3x)+(4)(-1)}{24y}\\\\=\dfrac{21x+12}{24y}-\dfrac{12x-4}{24y}\\\\=\dfrac{21x+12-(12x-4)}{24y}\\\\=\dfrac{21x+12-12x+4}{24y}\\\\\text{combine like terms}\\\\=\dfrac{(21x-12x)+(12+4)}{24y}\\\\=\boxed{\dfrac{9x+16}{24y}}

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What is the product of 3.45 x<br> (1.93 x 10^4)
V125BC [204]

Answer:

66,585

Step-by-step explanation:

First, solve 10^4, which is 10,000. Then, do 1.93x10,000 and get 19300. Finally, multiply 19300 by 3.45 to get 66,585.

Always use pemdas and hope this helped!

6 0
2 years ago
A two wheeler covers a distance of 55.3 km in one liter of petrol. How much distance will it cover in 10 liters of petrol?
djyliett [7]

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553 km

Step-by-step explanation:

1:55.3 to 10:553

4 0
3 years ago
Please help me I’m struggling
GREYUIT [131]

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4 0
3 years ago
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What is the expression in factored form? 4x^2+11x+6<br><br>Show work please!!
Irina18 [472]
To solve this I'm going to split the middle term.
First multiply the first and last terms:
24x^2
So find two numbers that multiply to 24x^2 and add to 11x.
This would be 3x and 8x
Rewrite the problem as
4x^2+3x+8x+6
Take the first and 3rd and 2nd and 4th terms
4x^2 and 8x
and
3x and 6
Factor by grouping
Take out a 4x for the first group to get 4x(x+2)
Take out a 3 for the 2nd group to get 3(x+2)
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6 0
3 years ago
Read 2 more answers
What is the perimeter of parallelogram HIJK? Round to the nearest hundredth.
bixtya [17]

Answer:

Perimeter of the parallelogram = 26.64 units

Step-by-step explanation:

The perimeter of parallelogram = 2(a + b)

Here a = KJ = 7 units.

b = HK

We need to find the HK using the distance formula.

Distance formula = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

H = (-4, 3) and k = (-2, -3)

Now plug in x1 = -4, y1 =3, x2 = -2, y2 = -3 in the distance formula

HK = \sqrt{(-2 -(-4))^2 + (-3 - 3)^2}

= \sqrt{(-2 +4)^2 + (-6)^2}

= \sqrt{4 + 36}

= \sqrt{40}

HK = b = 6.32 units

Now plug in a = 7 and b = 6.32 in the perimeter formula, we get

Perimeter = 2(7 + 6.32)

= 2(13.32)

= 26.64 units

Thank you.

6 0
3 years ago
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