Solve the system of linear equations by eliminations x+5y=-2; 5x+y=14

Why does the fact family for 81 and 9 only have two number sentences?

sukhopar [10]

Because, 9 x 9 = 81. Hope I helped!

6 0

3 years ago

What can you divide a2b5 by to get a quotient of 1?

Kitty [74]

9514 1404 393

Answer:

a^2b^5

Step-by-step explanation:

Anything divided by itself is 1.

That is, anything multiplied by its reciprocal is 1. This value (the reciprocal of the expression) is called the "multiplicative inverse." Its value is that the product of an expression and its multiplicative inverse is 1, the multiplicative identity element. (Anything times 1 is itself.)

So, to get 1 as a product, multiply by 1/(a^2b^5), which is to say, divide by a^2b^5 to get 1 as a quotient.

8 0

2 years ago

If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? Show work and answer in

givi [52]

Answer:

$50

$30.88

I will invest in simple interest as the interest there is more.

Step-by-step explanation:

If I invested $500 at 5% simple interest for 2 years, then the interest that I will get will be given by the formula

$I = P \times \frac{rt}{100}$ , where P is the invested principal, r is the APR and t is the time in years.

So, in our case, $I = 500 \times \frac{5 \times 2}{100} = 50$ dollars. (Answer)

Now, if I invest $500 at 3% compound interest compounded monthly for 2 years.

Now, using the formula of compound interest we have

$I = P(1 + \frac{r}{n \times 100} )^{tn} - P$ , where r is the APR and n is the number of times in a year the principal is compounded.

In our case, $I = 500(1 + \frac{3}{12 \times 100} )^{2 \times 12} - 500 = 30.88$ dollars. (Answer)

Therefore, I will invest in simple interest as the interest there is more. (Answer)

3 0

3 years ago

The answer is red show step by step of the pro tem to get the answer

miskamm [114]

In order to rationalize the denominator of each expression, we need to multiply the expression by the same radical in the denominator, this way we can remove the radical from the denominator.

9)

$\frac{5\sqrt{4}}{\sqrt{3}}(\cdot\sqrt{3})=\frac{5\sqrt{4}\sqrt{3}}{(\sqrt{3})^2}=\frac{5\cdot2\cdot\sqrt{3}}{3}=\frac{10\sqrt{3}}{3}$

10)

$-\frac{5}{3\sqrt{2}}(\cdot\sqrt{2})=-\frac{5\sqrt{2}}{3(\sqrt{2})^2}=-\frac{5\sqrt{2}}{3\cdot2}=-\frac{5\sqrt{2}}{6}$

11)

$\frac{2\sqrt{3}}{4\sqrt{5}}(\cdot\sqrt{5})=\frac{2\sqrt{3}\sqrt{5}}{4(\sqrt{5})^2}=\frac{2\sqrt{15}}{4\cdot5}=\frac{\sqrt{15}}{2\cdot5}=\frac{\sqrt{15}}{10}$

12)

$\frac{\sqrt{5}}{\sqrt{2}}(\cdot\sqrt{2})=\frac{\sqrt{5}\sqrt{2}}{(\sqrt{2})^2}=\frac{\sqrt{10}}{2}$

3 0

11 months ago

How many triangles can be made if one angle is 95° and another angle is acute?

Oksana_A [137]

Theoretically, the answer will be infinite.

Since one angle of 95 degrees means the other two angles must be acute. You can pick any two real numbers with the sum of 85.

8 0

3 years ago