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3 years ago

Can you please help me

Mathematics

1 answer:

BigorU [14]3 years ago

7 0

Answer:

Step-by-step explanation:

combine all expressions which will get you

n+2/3n+2n+4+1/2n+n+1/2

simplify and you get

5 1/6n+4 1/2

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Kira made 208 dollars for 13 hours of work at the same rate how many hours would she have to work to make 176 dollars?

Irina-Kira [14]

208 ÷ 13 = 16, so her rate is $16 per hour. Through guess and check,

Kira would have to work 11 hours to make $176.

6 0

4 years ago

Read 2 more answers

Stephon has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

alekssr [168]

Answer: The expressions for the length and width of the new patio are

$\ell=x+4,~~w=x-4.$

And the area of the new patio is 384 sq. feet.

Step-by-step explanation: Given that Stephen has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

The length of one side of the square patio is represented by x.

We are to write the expressions for the length and width of the new patio and then to find the area of the new patio if the original patio measures 20 feet by 20 feet.

Since Stephen wants to reduce width of the patio by 4 feet, so the width of the new patio will be

$w=(x-4)~\textup{feet}.$

The length of the patio is increased by 4 feet, so the length of the new patio will be

$\ell=(x+4)~\textup{feet}.$

Now, if the original patio measures 20 feet by 20 feet, then we must have

$w=x-4=20-4=16~\textup{feet}$

and

$\ell=x+4=20+4=24~\textup{feet}.$

Therefore, the area of the new patio is given by

$A_n=\ell \times w=24\times16=384~\textup{sq. feet}.$

Thus, the expressions for the length and width of the new patio are

$\ell=x+4,~~w=x-4.$

And the area of the new patio is 384 sq. feet.

4 0

4 years ago

What is the exact solution for the equation

Nostrana [21]

Answer:

Option C is correct.

Exact solution of $2^{x+2} = 5^{2x}$ is, $\frac{2\ln 2}{2\ln 5 - \ln 2}$

Step-by-step explanation:

Given the equation: $2^{x+2} = 5^{2x}$

Using logarithmic rules:

$a^x=b^y$ ⇒ $x \ln a =y \ln b$

$\ln x^a = a\ln x$

Given: $2^{x+2} = 5^{2x}$

Taking logarithmic both sides:

$\ln 2^{x+2} = \ln 5^{2x}$

By logarithmic rules;

$(x+2) \ln 2 = (2x) \ln 5$

Using distributive property i.e $a\cdot (b+c) = a\cdot b + a\cdot c$

$x \ln 2 +2 \ln 2 = 2x \ln 5$

Subtract $x \ln 2$ from both sides we get;

$x \ln 2 +2 \ln 2 - x \ln 2= 2x \ln 5 - x \ln 2$

Simplify:

$2 \ln 2= 2x \ln 5 - x \ln 2$

$2 \ln 2= x (2\ln 5 - \ln 2)$

Divide both sides by $(2\ln 5 - \ln 2)$ we get;

$\frac{2\ln 2}{2\ln 5 - \ln 2} = x$

Therefore, the exact solution of the given equation is $\frac{2\ln 2}{2\ln 5 - \ln 2}$

7 0

3 years ago

How do I solve this problem <br> -4q - (-8q) + 10

vichka [17]

If you want to evaluate it, -4q-(-8q)+10 is changed to -4q+8q+10 (two negatives equal positive). Next, -4q+8q is 4q (since the bigger number is positive 8q, you subtract and get 4q). Finally, your answer is 4q+10. Hope this helps! :)

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4 years ago

Is the relation shown in the arrow diagram<br> a function?

rewona [7]

Answer: A) Yes. Every unique input has a unique output.

In other words, each x value maps to exactly one y value, so that's why we have a function.

4 0

3 years ago