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aalyn [17]
3 years ago
12

You make a purchase at a local hardware store, but what you've bought is too big to take home in your car. For a small fee, you

arrange to have the hardware store deliver your purchase for you. You pay for your purchase, plus the sales taxes, plus the fee. The taxes are 7.5% and the fee is $20. Let x represents the total purchase amount without taxes and fees.
Mathematics
1 answer:
grandymaker [24]3 years ago
5 0

Answer: The amount with taxes and fees is 1.075x+20

Step-by-step explanation:

Let the total purchase amount without taxes and fees be 'x'.

Rate of taxes = 7.5%

Amount of fees = $20

so, According to question, it becomes,

\dfrac{7.5}{100}\times x\\\\=0.075x

So, Amount after tax becomes

x+0.075x\\\\=1.075x

Amount after fees becomes

1.075x+20

Hence, the amount with taxes and fees is 1.075x+20

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Cashews cost $6.45 a
almond37 [142]

Answer:

$20.96

Step-by-step explanation: 6.45 times three equals 19.35 plus a quarter of 6.45 equals 1.6125 which you round to 1.61. So 19.35+1.61= 20.96

8 0
3 years ago
HELP Use either law of sines or law of cosine. Need help on this problem! show work please!​
Marina86 [1]

Answer: x = 15.035677095729 approximately

Round this however you need to.

=================================================

Explanation:

I'm assuming you want to find the value of x, which your diagram is showing to be the length of segment QR.

If so, then we'll need to find the measure of angle Q first. Using the law of sines, we get the following:

sin(Q)/q = sin(R)/r

sin(Q)/PR = sin(R)/PQ

sin(Q)/13 = sin(85)/19

sin(Q) = 13*sin(85)/19

sin(Q) = 0.6816068987

Q = arcsin(0.6816068987) ... or ... Q = 180-arcsin(0.6816068987)

Q = 42.9693397461 ... or ... Q = 137.0306602539

These values are approximate.

----------------

Now if Q = 42.9693397461 approximately, then angle P is

P = 180-Q-R

P = 180-42.9693397461-85

P = 52.0306602539

Similarly, if Q = 137.0306602539 approximately, then,

P = 180-Q-R

P = 180-137.0306602539-85

P = -42.0306602539

A negative angle is not possible, so we'll ignore Q = 137.0306602539

----------------

The only possible value of angle P is approximately P = 52.0306602539

Let's apply the law of sines again to find side p, aka segment QR

sin(P)/p = sin(R)/r

sin(P)/QR = sin(R)/PQ

sin(52.0306602539)/x = sin(85)/19

19*sin(52.0306602539) = x*sin(85)

19*sin(52.0306602539)/sin(85) = x

x = 15.035677095729

This value is approximate.

Round this value however you need to.

4 0
3 years ago
Read 2 more answers
Anyone help with my homework plz?
iren2701 [21]
Hi!

This is definitely a trapezoid, as it has two equal sides and two inequal sides. It's not a parallelogram, because two sides eventually intersect. It is a quadrilateral, because it has four sides.

None of the others apply here.

If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer. I want to be able to assist more users one-on-one, as well as to move up in rank! :)
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Find value of each variable! Express in simplest radical form!
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Step-by-step explanation:

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Will mark brainlist and rate 5/5
erastova [34]
Sir you don’t even have a question
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