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Alexandra [31]
3 years ago
14

I will give brain to the person with the right answer.

Mathematics
2 answers:
Tanzania [10]3 years ago
7 0
Here is that step by step answer :)

Andrei [34K]3 years ago
6 0

Answer:

Step-by-step explanation:

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Jason went to the post office and bought both 41-cent stamps and 26-cent postcards and spent $10.28. The number of stamps was 4
Charra [1.4K]
<h3>Jason bought 20 stamps of $0.41 each and 8 postcards of $0.26 each.</h3>

<em><u>Solution:</u></em>

Let stamps be s and postcards be p

Given that,

The number of stamps was 4 more than twice the number of postcards

s = 4 + 2p -------- eqn 1

Jason bought both 41-cent stamps and 26-cent postcards and spent $10.28

41 cent = $ 0.41

26 cent = $ 0.26

Therefore,

s \times 0.41 + p \times 0.26 = 10.28

0.41s + 0.26p = 10.28 --------- eqn 2

Substitute eqn 1 in eqn 2

0.41(4 + 2p) + 0.26p = 10.28

1.64 + 0.82p + 0.26p = 10.28

1.08p = 10.28 - 1.64

1.08p = 8.64

Divide both sides by 1.08

p = 8

Substitute p = 8 in eqn 1

s = 4 + 2(8)

s = 4 + 16

s = 20

Thus Jason bought 20 stamps and 8 post cards

8 0
3 years ago
1. A boat is 18 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 68°
slega [8]

Answer:

19.4 feet

Step-by-step explanation:

When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.

  • Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
  • Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
  • Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.

Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.

We set up the equation sin (68) = \frac{18}{h}.

We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. sin (68) = \frac{18}{h}\\hsin (68) = \frac{18}{h}*h\\hsin (68) = 18\\\frac{hsin (68)}{sin (68)} =\frac{18}{sin (68)} \\

And finally we have h=\frac{18}{sin (68)}. We input to calculator.

h=\frac{18}{0.92718} \\h=19.4 feet

See the attached picture below showing the shore with the boat out at sea and the position of the person.


8 0
3 years ago
Which of the following is correctly written in Standard Form? −3x + 7y = 12, y = 3/7x + 6 ,5x − 4y = 9 ,3/7x + 2y =9
melisa1 [442]
2nd one - y = 3/7x + 6 , hope this helps:)
3 0
2 years ago
5. In the figure, . Solve for . Show your work.
natima [27]

Answer:

15

Step-by-step explanation:

6/10=9/x

cross multiply

6x=9*10

6x=90

x=90/6x=15

3 0
3 years ago
4x + 1 + x = -4<br> Can anybody help me solve this ?
ValentinkaMS [17]

Answer:

Simplify the equation

Step-by-step explanation:

4x + 1 + x + -4

= 4x + x + 1 - 4

= 5x + -3

= 5x - 3

Hope this helps

7 0
3 years ago
Read 2 more answers
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