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mezya [45]
3 years ago
5

Find the solution set of 5/y+4=3/y-2

Mathematics
2 answers:
tiny-mole [99]3 years ago
8 0

Answer:

y = -1/3

Step-by-step explanation:

5/y + 4 = 3/y - 2

5/y - 3/y = - 2 - 4

2/y = -6

y = -1/3

GaryK [48]3 years ago
4 0

Answer:

y=-1/3

Step-by-step explanation:

first combine like terms:

5/y-3/y=-2-4

2/y=-6

now multiply y on both sides:

2=-6y

solve the equation

y=-1/3

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Jess borrows 250 from the bank. The band chargEs 11% simple interest over 2 years.
Inessa [10]

Answer:

$305

Step-by-step explanation:

You have to use the following formula to calculate the accrued amount:

A=P(1 + rt), where:

A= accrued amount

P= principal amount= $250

r= rate of interest= 11%

t= time period= 2 years

Now, you have to replace the values in the formula:

A=250*(1+0.11*2)

A=250*(1+0.22)

A=250*1.22

A=305

According to this, at the end of 2 years, Jess owes the bank $305.

7 0
3 years ago
Write an equation of the line passing through each of the following pairs of points.
4vir4ik [10]

Answer:

y = \frac{3}{4} x

Step-by-step explanation:

The equation of a line passing through the origin (0, 0 ) is

y = mx ( where m is the slope )

m = \frac{rise}{run} = \frac{3}{4}, thus

y = \frac{3}{4} x

5 0
4 years ago
Read 2 more answers
2.<br>√3x + 7 + √x + 1 =2​
taurus [48]

Answer:

  x = -1

Step-by-step explanation:

The usual approach to these is to square the radicals until they are gone.

  \displaystyle\sqrt{3x+7}+\sqrt{x+1}=2\\\\(3x+7) +2\sqrt{(3x+7)(x+1)}+(x+1) = 4\qquad\text{square both sides}\\\\2\sqrt{(3x+7)(x+1)}=-4x-4\qquad\text{subtract $4x+8$}\\\\(3x+7)(x+1)=(-2x-2)^2\qquad\text{divide by 2, square again}\\\\3x^2+10x +7=4x^2+8x+4\qquad\text{simplify}\\\\x^2-2x-3=0\qquad\text{subtract the left expression}\\\\(x-3)(x+1)=0\qquad\text{factor}\\\\x=3,\ x=-1\qquad\text{solutions to the quadratic}

Each time the equation is squared, the possibility of an extraneous root is introduced. Here, x=3 is extraneous: it does not satisfy the original equation.

The solution is x = -1.

_____

Using a graphing calculator to solve the original equation can avoid extraneous solutions. The attachment shows only the solution x = -1. Rather than use f(x) = 2, we have rewritten the equation to f(x)-2 = 0. The graphing calculator is really good at showing the function values at the x-intercepts.

5 0
4 years ago
How do you solve for x <br><br>the similarity statement is abc~ xyz​
tensa zangetsu [6.8K]

Answer:

m<X= 36.87 degrees

Step-by-step explanation:

Since the triangle abc and xyz are similar, hence;

m<C = m<Y

90 = x - 5

Add 5 to both sides

90+5 = x-5+5

95 = x

Swap

x = 95

m<Y = x - 5

m<Y = 95 - 5

m<Y = 90

Find m<X

Using the SOH CAH TOA

Opposite to m<X = YZ = 6

Adjacent = 8

Tan M<X = opp/adj

Tan m<X = 6/8

m<X = arctan(6/8)

m<X= 36.87 degrees

8 0
3 years ago
About how many pounds of coffee will you need to make 600 medium cups of coffee?
Veronika [31]

Answer:

A. 10

Step-by-step explanation:

I found a website that explains that you need 8.3 grams of coffee to make one 5-fl oz cup of coffee.

To make 600 cups, you need 600 * 8.3 g = 4980 g

Now we convert 4980 g to lb.

1 lb = 454 g

4980 g * (1 lb)/(454 g) = 11 lb

The closest answer is A. 10

Answer: A. 10

6 0
3 years ago
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