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2 years ago

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.

_____

Comment on linear combination

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 a and the first by -d:

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.