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Alexandra [31]
3 years ago
12

3/5a = 5 1/2 rational number equation​

Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0

Answer:

a = 55/6

Step-by-step explanation:

<u>Solving in steps:</u>

  • 3/5a = 5 1/2
  • 3/5a = 11/2
  • a = 11/2 : 3/5
  • a = 11/2*5/3
  • a = 55/6  or  9 1/6
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Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a s
Lilit [14]

Answer:

y-2=\displaystyle -\frac{3}{4}(x-1)

OR

y=\displaystyle -\frac{3}{4}x+\frac{11}{4}

Step-by-step explanation:

Hi there!

Point-slope form: y-y_1=m(x-x_1) where <em>m</em> is the slope of the line and (x_1,y_1) is a given point

Given that the slope is -3/4, we can plug it into y-y_1=m(x-x_1) as <em>m</em>:

y-y_1=\displaystyle -\frac{3}{4}(x-x_1)

We can also plug in the given point (1,2):

y-2=\displaystyle -\frac{3}{4}(x-1)

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)

To write the equation in slope-intercept form, isolate <em>y</em>:

y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}

I hope this helps!

8 0
2 years ago
42.1% of 375.4 =
igomit [66]
The answer is 0.744 just do the math 
7 0
3 years ago
A sheet of cardboard 12 inches square is used to make an open box by cutting out squares of equal size from the four corners and
GrogVix [38]

Answer:

x=6+3\sqrt{2} is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = 12 -2x, height of the box = x

Volume of square box = Area * height = (12-2x)^2 * x

Differentiating the above equation and equating it to zero, we get –  

d/dx ((12-2x)^2 * x)

d/dx{(144 + 4x^2 -48x)*x}= d/dx (144x + 4x^3 -48x^2)

d/dx (144x + 4x^3 -48x^2) = 0

144+8x^2-96X= 0\\18 +X^2-12X = 0

On solving above equation, we get –  

x=6+3\sqrt{2}  \\ x=6-3\sqrt{2}

5 0
3 years ago
a high school marching band has 24% seniors 22% Juniors 28% sophomores and 26% freshmen. what is the probability of a randomly-c
Anettt [7]

Answer: 50

Step-by-step explanation:

Add 22% and 28% to get the probability of how many juniors and sophomores.

8 0
3 years ago
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Jane plans to invest $500 at 8.25% interest, compounded continuously. After 14 years, how much money has she accumulated? Has he
kenny6666 [7]
Principal amount = P = $500
Time = t = 14 years
Interest rate = r = 8.25% = 0.0825
Amount accumulated = A

Using the formula of compound interest:

A=P e^{rt}

Substituting the values, we get:

A=500 e^{0.0825(14)}=1587.01&#10;

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8 0
3 years ago
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