Answer this please......

Meaghan started a baking service. During her first month in business, Meaghan spent $380 on supplies and drove 800 miles at an a

madam [21]

Answer:2182 after expenses

Step-by-step explanation:0.30×800= 240 miles

60×50=3000 dollars

3000minus the miles 240 minus the supplies 380 minus the other expenses 198

4 0

3 years ago

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Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the e

liberstina [14]

Answer:

<h2><u>The amount paid to an employee was </u><u>162</u></h2>

Step-by-step explanation:

<h2><u>The expression 12h + 30w Identifies the amount paid to an employee.</u></h2><h2><u>Let h represent hours and let w represent the total amount of g-wagons sold. </u></h2><h2><u>Since the question explains that an employee works 6 hours and sells 3 wagons, put h as h = 6 and w as w = 3. We would end up getting this equation. 12h + 30w = 12(6) + 30(3).</u></h2><h2><u>Now all you need to do is solve it.</u></h2><h2><u>left side = 72</u></h2><h2><u>right side = 90</u></h2><h2><u>72 + 90 =</u><u> 162</u></h2>

6 0

4 years ago

Find the area of the triangle...

Alekssandra [29.7K]

In order to find height (h), tan20 = h/26
$h = 26 \tan(20) = 9.46$
Now for the left part of base (b1), where b2 = 26 and entire base (b) = b1+b2
$\tan(36) = h \div b1 \\ b1 = 9.46 \div \tan(36) = 13.03$
So b = 13.03+26 = 39.03

Now Area (A) = 1/2bh = 1/2 (39.03)(9.46)
A = 184.59

4 0

3 years ago

Find an equation for the nth term of the sequence.

tensa zangetsu [6.8K]

Answer:

a. an = -1 • 4^(n - 1)

Step-by-step explanation:

It's easy see that each term is multiplied by 4 to get the next term, so the common ratio will be 4, that reduces the choices to answers A and B (since C and D use -1 as common ratio). Also, normally a geometric progression uses "n-1", so we'll first try with A to see if it works.

a1 = (-1) * 4^0 = -1 * 1 = -1

a2 = (-1) * 4^1 = -1 * 4 = -4

a3 = (-1) * 4^2 = -1 * 16 = -16

Yes, it works... so the answer is an = -1 • 4^(n - 1)

6 0

3 years ago

Simplify (x + 2/ x^2 + 2x -3) / (x + 2/x^2 - x)

rjkz [21]

Answer:

The simplest form is x/(x + 3)

Step-by-step explanation:

* To simplify the rational Expression lets revise the factorization

of the quadratic expression

* To factor a quadratic in the form x² ± bx ± c:

- First look at the c term

# If the c term is a positive number, and its factors are r and s they

will have the same sign and their sum is b.

# If the c term is a negative number, then either r or s will be negative

but not both and their difference is b.

- Second look at the b term.

# If the c term is positive and the b term is positive, then both r and

s are positive.

Ex: x² + 5x + 6 = (x + 3)(x + 2)

# If the c term is positive and the b term is negative, then both r and s

are negative.

Ex: x² - 5x + 6 = (x -3)(x - 2)

# If the c term is negative and the b term is positive, then the factor

that is positive will have the greater absolute value. That is, if

|r| > |s|, then r is positive and s is negative.

Ex: x² + 5x - 6 = (x + 6)(x - 1)

# If the c term is negative and the b term is negative, then the factor

that is negative will have the greater absolute value. That is, if

|r| > |s|, then r is negative and s is positive.

Ex: x² - 5x - 6 = (x - 6)(x + 1)

* Now lets solve the problem

- We have two fractions over each other

- Lets simplify the numerator

∵ The numerator is $\frac{x+2}{x^{2}+2x-3}$

- Factorize its denominator

∵ The denominator = x² + 2x - 3

- The last term is negative then the two brackets have different signs

∵ 3 = 3 × 1

∵ 3 - 1 = 2

∵ The middle term is +ve

∴ -3 = 3 × -1 ⇒ the greatest is +ve

∴ x² + 2x - 3 = (x + 3)(x - 1)

∴ The numerator = $\frac{(x+2)}{(x+3)(x-2)}$

- Lets simplify the denominator

∵ The denominator is $\frac{x+2}{x^{2}-x}$

- Factorize its denominator

∵ The denominator = x² - 2x

- Take x as a common factor and divide each term by x

∵ x² ÷ x = x

∵ -x ÷ x = -1

∴ x² - 2x = x(x - 1)

∴ The denominator = $\frac{(x+2)}{x(x-1)}$

* Now lets write the fraction as a division

∴ The fraction = $\frac{x+2}{(x+3)(x-1)}$ ÷ $\frac{x+2}{x(x-1)}$

- Change the sign of division and reverse the fraction after it

∴ The fraction = $\frac{(x+2)}{(x+3)(x-1)}*\frac{x(x-1)}{(x+2)}$

* Now we can cancel the bracket (x + 2) up with same bracket down

and cancel bracket (x - 1) up with same bracket down

∴ The simplest form = $\frac{x}{x+3}$

5 0

4 years ago

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