Roy bought a drum set for $422 and a guitar E La
for $358. If sales tax is 7.5%, what is the total
a free
cost of the instruments, including tax?
The in
amour

Answer:

 [tex]\Large \text{$ \frac{1}{w^2} $}[/tex]

Step-by-step explanation:

Given the exponential expression, [tex]\displaytext\mathsf{w^3\:\times\:w^{-5}}[/tex], where it involves the multiplication of the same base, w, with varying powers.  

Using the Product Rule of Exponents, where it states that, [tex]\displaystyle\mathsf{a^{m}\:\times\:a^{n}\:=\:a^{(m\:+\:n)}}[/tex].

Hence, we simply need to add the exponents:  

[tex]\displaytext\mathsf{w^3\:\times\:w^{-5}\:=\:w\:^{[3\:+\:(-5)]}\:=\:w^{-2}}[/tex]

Next, apply the Negative Exponent Rule, where it states that: [tex]\displaystyle\mathsf{a^{-n}\:=\:\frac{1}{a^n}}[/tex].

Transforming the negative exponent of  [tex]\displaytext\mathsf{w^{-2}}[/tex]  becomes a positive exponent by using the Negative Exponent Rule.

  [tex]\displaytext\mathsf{w^{-2}\:=\:\frac{1}{w^2}}[/tex]

Answer:

Two hundred and forty billions, three hundred and seventy millions, eighty five thousand and thirty one

Step-by-step explanation:

Answer:

washer is 587$

Step-by-step explanation:

1000 - 175

825

825 divided by 2 than add 175 to the washers half

the cost of the washer is $587.5, and the cost of the dryer is $412.5.

Let's assume the cost of the dryer is "x" dollars.

According to the information given, the cost of the washer is $175 more than the cost of the dryer. So, the cost of the washer can be represented as "x + $175" dollars.

The combined cost of the washer and the dryer is $1000. Therefore, we can write the equation:

Cost of washer + Cost of dryer = $1000

(x + $175) + x = $1000

Now, let's solve for "x":

2x + $175 = $1000

Subtract $175 from both sides:

2x = $1000 - $175

2x = $825

Now, divide both sides by 2 to find the value of "x":

x = $825 / 2

x = $412.5

So, the cost of the dryer is $412.5.

Now, let's find the cost of the washer:

Cost of washer = Cost of dryer + $175

Cost of washer = $412.5 + $175

Cost of washer = $587.5

Therefore, the cost of the washer is $587.5.

In summary, the cost of the washer is $587.5, and the cost of the dryer is $412.5.

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Answer:

Step-by-step explanation:

The highest point in North America, Mount McKinley, in the Alaska Range, is 20,320 feet above sea level. The lowest point m North America is 282 feet below sea level and is in Death Valley in California. Which student correctly calculated the difference in elevations? Explain the error.

\begin{matrix} \text{Student A} & \text{Student B}\\ \text{20,320 - 282} & \text{20,320 - ( -282)}\\ \text{20,320 + (-282)} & \text{20,320 + ( + 282)}\\ \text{20,038 feet} & \text{20,602 feet}\\ \end{matrix}

Student A

20,320 - 282

20,320 + (-282)

20,038 feet

​

Student B

20,320 - ( -282)

20,320 + ( + 282)

20,602 feet

​

Answer: Look at the picture ⬇️

Answer:

Step-by-step explanation:

6x+4y=-12

subtract 6x from both sides in order to move 6x to the other side.

4y=-12-6x

divide 4 from the whole equation in order to make the 4y to y.

y= -3-6/4x

and to simply

y= -1.5x-3

or y= -3/2x-3

Answer:

Step-by-step explanation:

Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )

4(p + 3) +4(p - 6) =

4p + 12 + 4p - 24 =

8p -12

Answer:

alternate interior angles, alternate exterior angles, CORRESPONDING angles, VERTICAL angles

Step-by-step explanation:

The first two are correct but you mixed up the last two.

Corresponding angles have to be on parallel lines.

Vertical angles are opposite angles created by an intersecting line.

Hope this helps!!!

Answer:

562.39

Step-by-step explanation:

506.13+451.26=957.39

957.39-395=562.39

Answer:

Hence, the value of x is 9°

Step-by-step explanation:

7x + 14 = 9x - 4. [(Corres. ∠s]

⇛ 7x - 9x = -4 - 14

⇛-2x = -18

⇛x = -18÷-2

⇛x = 18/2

∴ x = 9

NOW,

Read more:

Similar Question

find the measure of angle 1, given that AB || CD...

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Answer:

6/20. (simplified is 3/10)

Step-by-step explanation:

Step-by-step explanation:

since all base numbers have the same exponent, we can combine the base numbers first and then apply the exponent :

(12×45×50)^(1/3) = 27000^(1/3)

and remember what a 1/... exponent means : it means the root of the ... degree.

so, here we need a cubic root or a root of the third degree

[tex] \sqrt[3]{27000} = 30[/tex]

Answer:

y=-2x+5

Step-by-step explanation:

Use slope intercept form (y=mx+b) to plug in the values for m and b

Answer:

1) ⅓

2) ⅓

Step-by-step explanation:

1)  The repeating decimal, 0.333333.., is the same as ⅓ when simplified.

If we express 0.333333...  as a fraction to the nearest hundreths:  [tex]\frac{33}{100}[/tex], and 33 is a third of a hundred, which is ⅓.    

Therefore, the fraction form of 0.333333... is ⅓.

2) In order to determine the product of 4/6 and 2/4, simply multiply the numerator of both fractions together. Similarly, do the same for both denominators.

[tex]\frac{4}{6}[/tex] × [tex]\frac{2}{4}[/tex] = [tex]\frac{4 * 2}{6 * 4} = \frac{8}{24}[/tex]

Next, simplify [tex]\frac{8}{24}[/tex] by dividing it with [tex]\frac{8}{8}[/tex]:

[tex]\frac{8}{24}[/tex] ÷ [tex]\frac{8}{8}[/tex] = ⅓

Therefore, the product of [tex]\frac{4}{6}[/tex] and [tex]\frac{2}{4}[/tex] is  ⅓.

Answer:

x=2

Step-by-step explanation:

log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:

(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work

Answer:

25

Step-by-step explanation:

Because when you add all the cost and divide by the amount of tickets you get 25

Answer:

the answer is C trust me by

Answer:

A

Step-by-step explanation:

4×-12

Answer is letter A

hope it help^^

Answer:

19 or 17

Step-by-step explanation:

Answer:

4.2

Step-by-step explanation:

simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.

The unit rate or rate of change of gallons per week will be 4.2 gallons/week.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

12 gallons in every 20 days,

The unit rate per day will be as,

12/20 = 0.6 gallons per day

It is known that, 1 week = 7 days,

Unit rate per week = 0.6 x 7 = 4.2 gallons/week

Hence "The unit rate, often known as the rate of change, will be 4.2 gallons per week".

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Answer:

The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.

Step-by-step explanation:

Step-by-step explanation:

option C is correct!

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Answer:

Not arithmetic

Step-by-step explanation:

the difference of successive terms in arithmetic sequences should be the same. notice that:

1/3-1/2 =/= 1/3 - 1/4

so it's not arithmetic.

this sequence is known as the harmonic sequence, and its sum diverges.

Answer:

can you please explain that a little more

Answer:

B. (3, 0)

Step-by-step explanation:

It's B. (3,0) because it's on the line of 3 and 0 aka x axis

Answer: I believe the answer is 50

Step-by-step explanation: I know this angle is a right angle that is split into two and since you already know what 1/2 of the angle is you just figure out how much more we need to equal to the angle in this case it’s 50

Using the speed - distance relationship, the time left before the appointed time is 27 minutes.

Recall :

At 10mph :

At 12 mph :

Equate (1) and (2) :

10t + 30 = 12t - 24

Collect like terms

10t - 12t = - 24 - 30

-2t = - 54

Divide both sides by - 2

t = 54 / 2

t = 27

Hence, the time left before the appointed time is 27 minutes.

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Answer:

7

Step-by-step explanation: