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BaLLatris [955]
3 years ago
6

This equation has one solution. 5(x-1) + 3x = 7x + 1) What is the solution? Help now

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
4 0

Answer:

x=6

Step-by-step explanation:

5(x-1) + 3x = 7x + 1

Distribute

5x -5 +3x = 7x+1

Combine like terms

8x -5 = 7x+1

Subtract 7x from each side

8x- 7x -5 = 7x-7x+1

x-5 =1

Add 5 to each side

x-5+5 = 1+5

x=6

BARSIC [14]3 years ago
3 0

Answer:

x=12

Step-by-step explanation:

5x - 5 + 3x = 7x + 7

8x - 5 = 7x + 7 ( subtract 7x from both sides )

x - 5 = 7 ( add 5 to both sides )

x = 12

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A farmer is designing a field for his new horse. In order for the field to fit into his farm, the angle θ must be less than 40◦,
vovangra [49]

Answer:

The field will not fit

Step-by-step explanation:

To find the angle, we will use cosine rule;

c² = (a² + b² - 2abcosC)

C in this case is θ

Thus;

15² = (8² + 20² - 2(8 × 20)cos θ)

225 = (64 + 400 - 320cos θ)

464 - 225 = 320cos θ

cos θ = 239/320

θ = cos^(-1) 0.7469

θ = 41.68°

Thus angle is not less than 40° as recommended. Thus, the field will not fit.

5 0
3 years ago
Translate to an algebraic expression 35 less than y. 40 POINTS EASY!!!!!!!!!
alina1380 [7]

Answer:

Step-by-step explanation:

y - 35

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A charity is holding a raffle to raise money. There is one car worth $30,000 and five $100 gift cards being raffled off. Each ti
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There is a total of $35,000 worth of prizes being given out for 5,000 tickets.  We can find the expected value for each ticket by dividing 35,000/5,000.  This equals $7.00.
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Two more than a certain number is 15 less than the product of
denpristay [2]

Answer:

-134

Step-by-step explanation:

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What point slope form equation could be produced with the points(-3,-6)and (3,-3)
Irina-Kira [14]

Answer:

y+6=1/2(x+3)

Step-by-step explanation:

Hi there!

We want to find the equation of the line in point-slope form that passes through (-3, -6), and (3, -3)

Point-slope form is given as y-y_{1}=m(x-x_{1}) where (x_{1}, y_{1}) is a point and m is the slope

We don't know the slope of the line, so let's find it

The formula for the slope (m) calculated from two points is \frac{y_{2}-y_{1}}{x_{2}-x_{1}}, where (x_{1}, y_{1}) and (x_{2}, y_{2}) are points

We have two points, but let's label their values to avoid any confusion

x_{1}=-3

y_{1}=-6

x_{2}=3

y_{2}=-3

Now substitute into the formula (remember: the formula has SUBTRACTION)

m=\frac{-3--6}{3--3}

simplify

m=\frac{-3+6}{3+3}

m=\frac{3}{6}

m=1/2

So the slope of the line is 1/2

Now that we have everything needed for point-slope form (a point and the slope), substitute the values into the formula (remember: the formula has SUBTRACTION)

y-y_{1}=m(x-x_{1})

y--6=1/2(x--3)

simplify

<u>y+6=1/2(x+3)</u>

Hope this helps!

3 0
3 years ago
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