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77julia77 [94]
3 years ago
12

At camp last summer the ratio of boys to girls was 3:5 if there was a total of 160 campers how many girls were there

Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0
I believe there is 100 girls or something close to that.
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Write the equation of a line that is perpendicular to y=-2x/7+9 and that passes through the point (4,−6)
Shtirlitz [24]

Answer:

  y = (7/2)x -20

Step-by-step explanation:

The given line is in slope-intercept form, so you can read its slope from the equation.

  y = mx + b . . . . . m is the slope; b is the y-intercept

  y = -(2/7)x + 9 . . . . . . has slope -2/7

The perpendicular line will have a slope that is the negative reciprocal of this, so will be ...

  m = -1/(-2/7) = 7/2

We can use this and the given point to write the equation in point-slope form.

  y = m(x -h) +k . . . . . . line with slope m through point (h, k)

We have m = 7/2, (h, k) = (4, -6) so the equation is ...

  y = (7/2)(x -4) -6

  y = (7/2)x -20

4 0
4 years ago
How many 1/32 ft pieces can be cut from a 7/8 ft long piece of rope?
Mariana [72]

Answer:

28 1/32 ft pieces

Step-by-step explanation:

To solve this problem you need to get both the fractions to have same denominator, to do this we will times 7/8 by 4 to get 28/32. After this we can start comparing them. From the 28/32 we can make 28 pieces because 28*1/32=28/32

3 0
3 years ago
20a+12a-8 simplified
bixtya [17]

That would 32a - 8, Good Luck!

7 0
4 years ago
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What are the x-intercepts of the graph of the quadratic function
Svetllana [295]
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(Make sure to set f(x) to zero)

So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: 0=5x^2+5x-x-1

Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: 0=5x(x+1)-1(x+1)

Now you can rewrite the equation as: 0=(5x-1)(x+1)

Now apply zero product property to the factors to solve for x:

5x-1=0\\5x=1\\x=\frac{1}{5}\\\\x+1=0\\x=-1

<u>The x-intercepts are (1/5 ,0) and (-1,0).</u>

5 0
4 years ago
a radio station can broadcasts in all directions to a distance of 60 mi. what is the area in which the station can be heard
zaharov [31]

Answer:

Area = PI * radius ^ 2

Area = PI * 60^2

Area = PI * 3,600

Area = 11,309.73 square miles

Step-by-step explanation:

4 0
3 years ago
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