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GenaCL600 [577]
3 years ago
9

Solve the equation below. 3/2x - 2.2 = 2(0.7x - 1)

Mathematics
2 answers:
deff fn [24]3 years ago
5 0
3/2x-2.2=2(0.7x-1) convert the decimal into a fraction.
3/2x - 11/5 = 2(0.7 x - 1) distribute 2 through the parentheses.
3/2 x - 11/5 = 1.4 x - 2 convert the decimal into a fraction.
3/2 x - 11/5 = 7/5 x - 2 multiply both sides of the equation by 10.
15x - 22 = 14 x - 20 move the variable to the left-hand side and change its sign.
15x - 22 - 14 x = -20 move the constant to the right-hand side and change its sign.
15 x - 14x = -20 + 22 collect like terms.
x = -20 + 22 calculate the sum.
x = 2 solution.
jeyben [28]3 years ago
5 0

Answer:

x = 2

Step-by-step explanation:

3/2x - 2.2 = 2(0.7x - 1)

3/2x - 2.2 = 1.4x - 2

0.1x - 2.2 = -2

0.1x = 0.2

x = 2

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Marta_Voda [28]

Answer:

x=2

y=-3

Step-by-step explanation:

5 0
3 years ago
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Sandy charges each family that she babysits a flat fee of 10$ for the night and an extra 5$ per child kimmi charges 25$ per nigh
Rudiy27
Sandy's cost equation is y = 5x + 10 where y = cost and x = number of children.
Kimmi's cost equation is y = 25 where y = cost.
The fees are the same when x = 3 in other words when Sandy babysits 3 children.
That is found by solving 5x + 10 = 25 for x.
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4 years ago
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scoundrel [369]

Answer:

just use algebraic expression

8 0
3 years ago
IWhat is the equation of a line that passes through the points (3, 6) and (8, 4)?
Rzqust [24]

Answer:

(x_1 =2, y_1 = 6), (x_2 = 2, y_2 = 4)

m =\frac{y_2 -y_1}{x_2 -x_1}

And replacing we got:

m=\frac{4-6}{8-3}= -\frac{2}{5}

And for this case we can use the first point to find the intercept like this:

6 = -\frac{2}{5}(3) +b

And solving we got:

b = 6 +\frac{6}{5}= \frac{36}{5}

And then the line equation would be given by:

y = -\frac{2}{5}x +\frac{36}{5}

Step-by-step explanation:

For this case we have the following two points given:

(x_1 =2, y_1 = 6), (x_2 = 2, y_2 = 4)

And for this case we want an equation for a line with the two points given by:

y = mx+b

Wher m is the slope and b the y intercept. We can find the slope with this formula:

m =\frac{y_2 -y_1}{x_2 -x_1}

And replacing we got:

m=\frac{4-6}{8-3}= -\frac{2}{5}

And for this case we can use the first point to find the intercept like this:

6 = -\frac{2}{5}(3) +b

And solving we got:

b = 6 +\frac{6}{5}= \frac{36}{5}

And then the line equation would be given by:

y = -\frac{2}{5}x +\frac{36}{5}

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3 years ago
How to do distributive property
enyata [817]

Answer: 4x+20


Step-by-step explanation:

Take the number outside the parentheses, and multiply it by each number inside it, one at a time.

then you simply just combine them.


4 0
3 years ago
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