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Savatey [412]
4 years ago
5

What is the solution to the equation 2 (4 minus 3 x) + 5 (2 x minus 3) = 20 minus 5 x?

Mathematics
2 answers:
Zielflug [23.3K]4 years ago
7 0

x = 3

Step-by-step explanation:

First we would simplify the left hand side of the equation by expanding the brackets

so 2(4-3x) = 8-6x and

5(2x-3) = 10x-15

This gives the left hand side as 8-6x+10x-15. So the overall equation becomes

8-6x+10x-15 = 20-5x.

Grouping the unknown values on one side and integers on one side of the equation gives us

8-15-20=6x-10x-5x (note the sign changes when numbers and unknown values are moved to the other side of the = sign

Solving further, -27 = -9x i.e x = -27/-9 = 3

Hence x = 3

lawyer [7]4 years ago
7 0

Answer:

3

Step-by-step explanation:

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oksian1 [2.3K]
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have to remember that 'smaller standard deviation' means 'less spread-out'.

First, let's find the mean (average).  It's not supposed to change:

1/7th of (65 + 71 + 77 + 80 + 82 + 90 + 96) = 561/7 = <u>80 and 1/7</u> .

Now, just pick 7 scores that total 561 and are all bunched up.

The easiest way would be 80, 80, 80, 80, 80, 80, 81 .
But that's so easy that it feels like cheating.

Let's say <u>77, 78, 79, 80, 81, 82, and 84</u> .
8 0
3 years ago
Suppose that an individual has a body fat percentage of 14.5% and weighs 171 pounds. How many pounds of his weight is made up of
scZoUnD [109]

Answer:

24.8 lbs

Step-by-step explanation:

14.5% is 0.145 in decimal and then you multiply it by the weight, and get the answer

0.145x171=24.8 lbs

3 0
3 years ago
Help please pleassse​
ASHA 777 [7]

Answer:

n=\frac{8}{3}  or  n = 2\frac{2}{3}

Step-by-step explanation:

Multiply both sides of the equation by \frac{10}{3}

(\frac{10}{3}) (\frac{3}{10})*n= (\frac{10}{3})(\frac{4}{5})

Simplify both sides of the equation.

n=\frac{8}{3} or n = 2\frac{2}{3}

<em>hope this helps :)</em>

7 0
3 years ago
If x = 10, y = 5, and z = 11, what is the sine ratio for g°?
salantis [7]

Answer:

\frac{10}{11}

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

In the right triangle ABC

sin(g^o)=\frac{AC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(g^o)=\frac{x}{z}

sin(g^o)=\frac{10}{11}

8 0
3 years ago
What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?
Radda [10]

Answer:

y = 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 2) ← coordinates of intercepts

m = \frac{2-0}{0+1} = 2

Note the line crosses the y- axis at (0, 2) ⇒ c = 2

y = 2x + 2 ← equation of line

7 0
3 years ago
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