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2 years ago

6.5 + m = 17 solve for m

Mathematics

2 answers:

posledela2 years ago

4 0

Answer:

the answer is 10.5

Step-by-step explanation:

so all you have to do is subtract 17 and 6.5 and that will give you 10.5

Hunter-Best [27]2 years ago

3 0

Answer:

m=10.5

Step-by-step explanation:

For this equation you could do the long or simple way, I will be using the easier way, you can take the 17 and 6.5, subtract the 17 by the 6.5 and you get 10.5.

m=10.5

I hope that this has helped you, have an great day.

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A business executive bought 40 stamps for

alekssr [168]

Answer:

32 33-cent stamps, 8 23-cent stamps

Step-by-step explanation:

In order to solve this question, we need to set up a system of equations. Also known as solving for two variables (the number of each stamp).

Let's set x to be the number of 33-cent stamps. Similarly, let's set y to be the number of 23-cent stamps.

To make our first equation, let's think about the number of stamps total we have. We can say:

$x + y =40$

(AKA - The number of 33-cent stamps, plus the number of 23-cent stamps, equals 40 stamps.)

Now, let's make an equation for the cost of these stamps.

$0.33x + 0.23y = 12.40$

(AKA - The cost of the stamps in total, should equal $12.40).

So now, we have our two equations:

$x + y =40\\0.33x+0.23y=12.40$

If you have a TI-84 graphing calculator, you can go to apps -> polysmlt2 -> simultaneous eqn solver, and then input these equations into the menu. This will solve the problem for you.

If you need to do this manually, let's use substitution. Condense our first equation to make it more substitutable.

$x+y=40\\x=40-y$

Now, let's put this into our second equation.

$0.33x+0.23y=12.40\\0.33(40-y)+0.23y=12.40$

Distribute, and solve for y.

$13.2-0.33y +0.23y =12.40\\13.2-0.1y=12.40\\-0.1y=-0.8\\y=8$

Now, we plug this into one of our equations.

$x+y=40\\x+8=40\\x=32$

In the end, we have thirty-two 33-cent stamps, and eight 23-cent stamps.

3 0

1 year ago

You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate is 8%. Your

Fofino [41]

Answer:

y = 0.80

Step-by-step explanation:

Given:

- The expected rate of return for risky portfolio E(r_p) = 0.18

- The T-bill rate is r_f = 0.08

Find:

Investing proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%.

What is the proportion y?

Solution:

- The proportion y is a fraction of expected risky portfolio and the left-over for the T-bill compliance. Usually we see a major proportion is for risky portfolio as follows:

E(r_c) = y*E(r_p) + (1 - y)*r_f

y*E(r_p) + (1 - y)*r_f = 0.16

- Re-arrange for proportion y:

y = ( 0.16 - r_f ) / (E(r_p) - r_f)

- Plug in values:

y = ( 0.16 - 0.08 ) / (0.18 - 0.08)

y = 0.80

- Hence, we see that 80% of the total investment budget becomes a part of risky portfolio returns.

4 0

3 years ago

I would like help ASAP please

erica [24]

Answer:

The measure of angle T is 135 degrees.

Step-by-step explanation:

Let's just say the measure of angles T and S are variables t and s.

So the equation would be...

t + s = 180

Since they are supplementary angles, they add up to 180.

Also, we know that t is 3 times s.

t = 3s

Now we can solve this system of equations.

Substitute 3s into t of the first equation.

3s + s = 180

4s = 180

s = 45

Then, since we know that the measure of angle t is 3 times the measure of angle s, we can just multiply 45 by 3 and find the measure of angle t.

45 * 3 = 135

t = 135

So the measure of angle t is 135.

*Just copied from my previous answer, don't know why you needed it again but here you go.

7 0

2 years ago

Read 2 more answers

HELPPPPP ITS ABOUT SCATTER PLOTSSSS Helpppppp

sashaice [31]

Answer:

36 gallons

Step-by-step explanation:

y = 4/5x

Let x = 45 minutes

y = 4/5 (45)

y = 36 gallons

3 0

3 years ago

Read 2 more answers

In the following pair of polynomials, the second polynomial is a factor of the first. Factor completely x^3+3x^2-18x , x-4

OLga [1]

Answer:

The required factors are: x, (x + 6) and (x - 3).

Step-by-step explanation:

As per the question,

The given polynomial is:

$x^{3}+3x^{2}-18x$

Now,

BY factorization, we get

$x^{3}+3x^{2}-18x$

$=x(x^{2}+3x-18)$

By splitting the mid-term, that is split 3x like:

3x = 6x - 3x

Therefore,

$x(x^{2}+6x-3x-18)$

Now on further solving by taking common factor out, we get

$=x[x(x+6)-3(x+6)]$

$=x(x+6)(x-3)$

Therefore, the given second polynomial (x - 4), is not a factor of given polynomial $x^{3}+3x^{2}-18x$ .

Hence, the given polynomial has three factor x, (x + 6) and (x - 3).

8 0

3 years ago