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rewona [7]
2 years ago
14

Plz help with this question

Mathematics
1 answer:
Zepler [3.9K]2 years ago
7 0

Answer: I think the answer is A.

Step-by-step explanation:

I don't know how to explain but if you test this on a calculator, it'll make sense.

2/3= 50/75

you just multiply the 3 by 25 to get 75...so obviously the 2 must also be multiplied by 25

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A business has two loans totaling $85,000. One loan has a rate of 4.5% and the other has a rate of 6%. This year, the business e
butalik [34]

Answer:

$30,000 and $55,000

Step-by-step explanation:

If 4.5% loan is x, and the 6% loan is y, then:

x + y = 85000

0.045x + 0.06y = 4650

Solve the system of equations with substitution or elimination.  Using substitution:

0.045x + 0.06(85000 − x) = 4650

0.045x + 5100 − 0.06x = 4650

450 = 0.015x

x = 30000

y = 55000

5 0
3 years ago
Read 2 more answers
Find the measure of the central angle of a sector if its area is 5 pi and the radius is 6
lesantik [10]
For this case we use the following formula
 Area of Sector = Area * radians of sector / 2 * pi radians
 Where,
 Area: it is the area of the complete circle.
 We have then:
 Area = pi * r ^ 2
 Area = pi * (6) ^ 2
 Area = 36pi
 Substituting values:
 5pi = 36pi * radians of sector / 2 * pi
 Clearing:
 radians of sector = ((5pi) * (2pi)) / (36pi)
 radians of sector = (10pi ^ 2) / (36pi)
 radians of sector = (10pi) / (36)
 radians of sector = (10/36) pi
 radians of sector = (5/18) pi
 in degrees:
 (5/18) pi * (180 / pi) = 50 degrees
 Answer:
 The measure of the central angle is:
 50 degrees
3 0
3 years ago
WHAT IS 4 TIMES TWO THIRDS IN A MIXED FRACTION
Alex73 [517]
\frac{4}{1}×\frac{2}{3}=\frac{8}{3}
You then divide the numerator(top) by the denominator(bottom)
\frac{8}{3}=2 \frac{2}{3}
Your answer is 2 \frac{2}{3}
3 0
3 years ago
Read 2 more answers
Can someone help me please? Use the linear combination method to solve the system of equations. Pretty please show your work and
Pavel [41]

Answer:

  (x, y) = (4, -3)

Step-by-step explanation:

  • x-3y=13
  • 2x+4y=-4

First of all, look at the given equations. Here, we see that the second equation has coefficients that all have a factor of 2. If we divide that out, we get an equation that has an x-coefficient of 1, matching the x-coefficient in the first equation.

Here is the reduced second equation:

  x +2y = -2

Now, if we subtract one equation from the other, the variable x will be eliminated. We want to choose that subtraction wisely.

We note that the y-coefficient in the first equation is less than that in the second equation. If we subtract the first equation from the second, the result will have a positive y-coefficient:

  (x +2y) -(x -3y) = (-2) -(13)

  5y = -15 . . . . . . . . . . . . . . . . simplify. Note that the x-variable is eliminated, which is the purpose of this exercise.

  y = -3 . . . . . . . divide by 5

We can use this value in the reduced second equation to find the value of x:

  x +2(-3) = -2

  x = 4 . . . . . . . . . add 6 and simplify

The solution is (x, y) = (4, -3).

_____

I find a graphing calculator provides an easy and reliable check of the answer.

_____

<em>Comment on linear combination</em>

This method is often called "elimination," because the purpose of combining the equations in a particular way is to eliminate one of the variables. This requires you look at the coefficients of the variables and devise a plan to combine them so the resulting coefficient for one of the variables is zero.

In the worst case, you can combine ...

  • ax +by = c
  • dx +ey = f

by multiplying the second equation by <em>a</em> and the first by <em>-d</em>:

  a(dx +ey) -d(ax +by) = a( f) -d(c)

  y(ae -bd) = fa -cd . . . . . . simplify; x is eliminated

This sort of approach results in a formula for the solution known as Cramer's Rule.

  y = (fa-cd)/(ae-bd)

The corresponding solution for x is ...

  x = (ce-bf)/(ae-bd)

__

The point of looking at the equations first is that you can often choose which variable to eliminate and what multiplier to use to minimize the amount of arithmetic involved—as we did above.

5 0
3 years ago
Read 2 more answers
Find the equation of the line that goes through the point (0, 4) and is parallel to the line y=3x
den301095 [7]

\huge\boxed{\sf{Hi\;there!}}

Parallel lines have the same slope.

The given line has a slope of 3, therefore, the line parallel to the given line has a slope of 3.

Now, we have the slope of the line and a point that it passes through.

So, we can use the Point-Slope formula:

\bigstar \sf{y-y1=m(x-x1

\bigstar \sf{y-4=3(x-0)

\bigstar \sf {y-4=3x

\bigstar \sf {y=3x+4

\huge\boxed{\boxed{Answer:\;y=3x+4}}}

\huge\bold{Hope\;it\;helps\;you.\;Good\;luck\;and\;have\;a\;nice\:day.}

\boxed{AmiableTeen:)}

7 0
2 years ago
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