For party decorations, you buy 6 rolls of crepe paper and 20 balloons for $11.90. After you start decorating, you

I need help with this plz

emmasim [6.3K]

Answer:

$x^{15}$

Step-by-step explanation:

Distribute the ^3 on top

(27 $x^{6}$ $y^{-9}$ )

distribute the ^ -9 on bottom, only to what is in the parenthesis

(27 $x^{-9}$ $y^{-9}$ )

the 27's cross out, the $y^{-9}$ 's cross out

$x^{6}$ / $x^{-9}$ is left

move the $x^{-9}$ to the top of fraction to change its sign

$x^{6}$ · $x^{9}$ = $x^{15}$

3 0

3 years ago

At a store a shirt has regular price of y dollars. During a sale, the price of the shirt by 40%. The expression 0.60y describes

Alexxx [7]

B i hope you do well fr

6 0

3 years ago

The sum of two numbers is 54. The smaller number is 18 less than the larger number. What are the numbers?

igomit [66]

Answer:

The larger number is 37. This makes the smaller number 56 - 37, which is 19.

Step-by-step explanation:

The first step is to pick variables for the two numbers. Lets call the smaller number x and the larger number y.

Since the sum of the two numbers is 56, this means that x + y = 56. Let's call this equation 1 and save it for later.

The next sentence says:

The smaller number is 18 less than the larger number. So, 18 less than the larger number would be y - 18. So, the smaller number must be equal to this, so

x = y - 18

Replace the x in equation 1 with y - 18

x + y = 56

(y-18) + y = 56 (replace x with y-18)

2y - 18 = 56 (add the y's)

2y = 74 (add 18 to both sides)

y = 37 (divide both sides by 2)

So, the larger number is 37. This makes the smaller number 56 - 37, which is 19.

Hope this helps!! :)

8 0

3 years ago

6-2(x+6)=3x+4 <br><br><br> ...............................

juin [17]

Answer:

x=−2

Step-by-step explanation:

1 Expand.

6-2x-12=3x+4

6−2x−12=3x+4

2 Simplify 6-2x-126−2x−12 to -2x-6−2x−6.

-2x-6=3x+4

−2x−6=3x+4

3 Add 2x2x to both sides.

-6=3x+4+2x

−6=3x+4+2x

4 Simplify 3x+4+2x3x+4+2x to 5x+45x+4.

-6=5x+4

−6=5x+4

5 Subtract 44 from both sides.

-6-4=5x

−6−4=5x

6 Simplify -6-4−6−4 to -10−10.

-10=5x

−10=5x

7 Divide both sides by 55.

-\frac{10}{5}=x

−

5

10

=x

8 Simplify \frac{10}{5}

5

10

to 22.

-2=x

−2=x

9 Switch sides.

x=-2

x=−2

4 0

3 years ago

Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years

mylen [45]

Answer:

The value of annuity is $P_v = \$ 7929.9$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 250$

The interest rate is $r = 5\% = 0.05$

Frequency at which it occurs in a year is n = 4 (quarterly )

The number of years is $t = 10 \ years$

The value of the annuity is mathematically represented as

$P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]$ (reference EDUCBA website)

substituting values

$P_v = 250 * [1 - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]$

$P_v = 250 * [1 - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]$

$P_v = 250 * [0.3916 ] * [\frac{(1.0125)}{0.0125} ]$

$P_v = \$ 7929.9$

8 0

3 years ago