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2 years ago

Please help! Correct Answers only!

Mathematics

1 answer:

denpristay [2]2 years ago

3 0

Answer:

Using the given formula:

I = P × R ×T

I = 40000 × 15/100 × 2

I = $12000

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To raise money for new uniforms, the band boosters sell t-shirts and hats. The cost and sale price of each item is shown. The bo

Mila [183]

Found the problem:
Item Cost Sales Price
T-shirt 6 10
hats 4 7

Let x = t-shirts, y = hats

6x + 4y = 2,000
10x + 7y = 3,375

4y = 2000 - 6x
y = 2000/4 - 6x/4
y = 500 - 3x/2

10x + 7y = 3,375
10x + 7(500 - 3x/2) = 3,375
10x + 3500 - 21x/2 = 3,375
10x - 10.5x = 3,375 - 3500
-0.5x = -125
-0.5x / -0.5 = -125/-0.5
x = 250 shirts

They will need 250 shirts.

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3 years ago

What is the area of the figure? Please help!

makvit [3.9K]

First brake the figure into 3 rectangles . One across and 2 going up and down . Then solve for the small figures and add up all the areas together . Hope this helps .

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3 years ago

Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits.

nydimaria [60]

Answer:

93.4 g/mL x 20. mL = 1868g.

489.7m / 53.061 s = 9.23 m/s

216.3 m/66.4 s = 3.26 m/s.

Step-by-step explanation:

Let's analyze each case.

93.4 g/mL x 20. mL

Hewe we are multiplying g/ml*ml. So we have the answer is (g*ml/ml) = g.

93.4 g/mL x 20. mL = 1868g.

489.7m / 53.061 s

We are dividing a measurement in m by a measurement in s. So the answer is in m/s.

489.7m / 53.061 s = 9.23 m/s

216.3 m/66.4 s

Same as above.

We are dividing a measurement in m by a measurement in s. So the answer is in m/s.

216.3 m/66.4 s = 3.26 m/s.

6 0

3 years ago

Will the product be greater or less then each factor? 56.9×2.01

g100num [7]

Hmmmt that’s a good question

8 0

3 years ago

Solving Rational Functions Hello I'm posting again because I really need help on this any help is appreciated!!

Greeley [361]

Answer:

x = √17 and x = -√17

Step-by-step explanation:

We have the equation:

$\frac{3}{x + 4} - \frac{1}{x + 3} = \frac{x + 9}{(x^2 + 7x + 12)}$

To solve this we need to remove the denominators.

Then we can first multiply both sides by (x + 4) to get:

$\frac{3*(x + 4)}{x + 4} - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

$3 - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x + 3)

$3*(x + 3) - \frac{(x + 4)*(x+3)}{x + 3} = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$3*(x + 3) - (x + 4) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$(2*x + 5) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x^2 + 7*x + 12)

$(2*x + 5)*(x^2 + 7x + 12) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}*(x^2 + 7x + 12)$

$(2*x + 5)*(x^2 + 7x + 12) = (x + 9)*(x + 4)*(x+3)$

Now we need to solve this:

we will get

$2*x^3 + 19*x^2 + 59*x + 60 = (x^2 + 13*x + 3)*(x + 3)$

$2*x^3 + 19*x^2 + 59*x + 60 = x^3 + 16*x^2 + 42*x + 9$

Then we get:

$2*x^3 + 19*x^2 + 59*x + 60 - ( x^3 + 16*x^2 + 42*x + 9) = 0$

$x^3 + 3x^2 + 17*x + 51 = 0$

So now we only need to solve this.

We can see that the constant is 51.

Then one root will be a factor of 51.

The factors of -51 are:

-3 and -17

Let's try -3

p( -3) = (-3)^3 + 3*(-3)^2 + +17*(-3) + 51 = 0

Then x = -3 is one solution of the equation.

But if we look at the original equation, x = -3 will lead to a zero in one denominator, then this solution can be ignored.

This means that we can take a factor (x + 3) out, so we can rewrite our equation as:

$x^3 + 3x^2 + 17*x + 51 = (x + 3)*(x^2 + 17) = 0$

The other two solutions are when the other term is equal to zero.

Then the other two solutions are given by:

x = ±√17

And neither of these have problems in the denominators, so we can conclude that the solutions are:

x = √17 and x = -√17

6 0

2 years ago