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Trava [24]
2 years ago
9

What is the answer to r - 4.5 < 11

Mathematics
1 answer:
Cloud [144]2 years ago
5 0
R - 4.5 < 11
—
r would be 15.5
[ r = 15.5 ]
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Ruby conducted a survey and found that 5/6 of her classmates have a pet and 2/3 of them are dogs what fraction of her classmates
lina2011 [118]
This is how I would solve it, I would act as if there were 36 people in the class.
36÷6=6×5=30
30÷3=10×2=20
20/36=10/18=5/9
You could also try another number such as 24;
24×(5÷6)=20
20×(2/3)=13.3(3 repeating)
13.333/24=5/9
5/9 people have dogs.
Tell me if this helps.
7 0
3 years ago
Could someone help me please ? :)
Degger [83]

ANSWER = 17.5% of 360 = 63

EXPLANATION:

Find 10% of 360 = 36

Then 5% of 360 = 18

Then 2.5% of 360 = 9

Add them together

so 17.5% of 360 = 63

8 0
2 years ago
PLZ SOLVE PIC ATTACHED BELOW
ludmilkaskok [199]

Answer:

\tan(51°)  =  \frac{10}{x}  \\x =  \frac{10}{ \tan(51°) }  \\ x = \frac{10}{1.235}  \\ \boxed{ x = 8.1}

<h3>★ Value of x is <u>8.1</u>.</h3>

\sin(51°)=  \frac{10}{H}  \\ h =  \frac{10}{ \sin(51°) }  \\ H=  \frac{10}{0.777}  \\  \boxed{H= 12.8676}

<h3>★ Value of H is <u>12.8676</u>.</h3>

Remember:

  • tan∅=Perpendicular/Base
  • sin∅=Perpendicular/Hypotenuse

4 0
2 years ago
Write the inverse of the function f(x) = 5x +3 ?
Ilia_Sergeevich [38]

Answer: f(x^-1) = x/5 - 3/5

Step-by-step explanation:

1. Replace f(x) with y

2. Swap the positions of x and y to make x = 5y + 3

3. Solve for y by subtracting 3 from both sides and dividing each side by 5

7 0
3 years ago
Question 5 and 6 please help me
sp2606 [1]

Problem 5

The function is continuous for the given domain x \ge 6

This is because y = (-5/6)x+5 is itself continuous, and any interval subset of this function is also continuous. We can plug in any real number that is equal to 6 or larger, and get some y output. If we plugged in x = 6, then we'd get

y = (-5/6)x+5

y = (-5/6)*6 + 5

y = -5+5

y = 0

This is the largest y value possible. Why? Because y = (-5/6)x+5 has a negative slope, so the graph is going downhill as you read it from left to right. As x gets bigger, y gets smaller. The smallest x value allowed in the domain produces the largest y value in the range. There is no smallest y value as the y values keep going down forever.

The range is therefore y \le 0

In interval notation, you can write the range as (-\infty, 0]. The square bracket indicates "include this endpoint as part of the range".

======================================================

Problem 6

The function is discrete for this given domain. The domain itself is a discrete list of values. We cannot plug in values between say 0 and 2. We can only substitute one of those values from the list given. Consequently, the y values will also be a list, and not an interval like problem 5 had.

-----------

If you plugged in x = -4, then you should get...

y = (-1/2)*(-4)+2

y = 2+2

y = 4

So the input x = -4 lead the output y = 4

Repeat for x = -2

y = (-1/2)x+2

y = (-1/2)*(-2)+2

y = 1+2

y = 3

and the same for x = 0 as well

y = (-1/2)x+2

y = (-1/2)*0 + 2

y = 0 + 2

y = 2

and x = 2 also

y = (-1/2)x+2

y = (-1/2)*2 + 2

y = -1+2

y = 1

Finally, plug in x = 4

y = (-1/2)x+2

y = (-1/2)*4+2

y = -2+2

y = 0

---------------

If we plugged each of these x values {-4, -2, 0, 2, 4} one at a time into the equation y = (-1/2)x+2, then we get this list of values {4, 3, 2, 1, 0}

Sorting the values from smallest to largest, we have this range {0, 1, 2, 3, 4}

3 0
2 years ago
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