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Elan Coil [88]
3 years ago
15

2 sin x cos x – sin x = 0

Mathematics
1 answer:
solniwko [45]3 years ago
7 0

Answer: PiN, Pi/3+2PiN, 5Pi/3+2PiN

Step-by-step explanation: Use formula sheet

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Lyla is shopping for school supplies. She has $20.00 to spend. She plans to buy a package of pens for $4.98. She also wants to b
Ket [755]
<h3><em><u>Question:</u></em></h3>

Lyla is shopping for school supplies. She has $20.00 to spend. She

plans to buy a package of pens for $4.98. She also wants to buy a

calculator. All calculators are being sold for 30 percent less than the

original price. write an inequality that can be used to find the original price, x, of a calculator lyla can buy.

<h3><em><u>Answer:</u></em></h3>

4.98+0.7x\leq 20 inequality that can be used to find the original price, x, of a calculator lyla can buy

<h3><em><u>Solution:</u></em></h3>

Given that,

Lyla has $ 20 to spend

So she can spend entire $ 20 or less than $ 20

Total amount she has = $ 20

She  plans to buy a package of pens for $4.98

Cost of package of pens = $ 4.98

She also wants to buy a  calculator

Let "x" be the original price of calculator

All calculators are being sold for 30 percent less than the  original price

Selling price of calculator = original price - 30 % of original price

Selling price of calculator = x - 30 % of x = x - 0.3x = 0.7x

Selling price of calculator = 0.7x

<em><u>Thus a inequality can be framed as:</u></em>

Cost of package of pens + Selling price of calculator \leq 20

4.98+0.7x\leq 20

This means that, combined cost of package of pen and selling price of calculator must be less than or equal to the amount with Lyla ( 20 $ )

Thus the inequality is found

5 0
4 years ago
Find all the solutions of the given system of equations. 3x-4y=2 9x-12y=6
Mkey [24]
I will try to solve your system of equations.
3
x
−
4
y
=
2
;
9
x
−
12
y
=
6
Step: Solve
3
x
−
4
y
=
2
for x:
3
x
−
4
y
+
4
y
=
2
+
4
y
(Add 4y to both sides)
3
x
=
4
y
+
2
3
x
3
=
4
y
+
2
3
(Divide both sides by 3)
x
=
4
3
y
+
2
3
Step: Substitute
4
3
y
+
2
3
for
x
in
9
x
−
12
y
=
6
:
9
x
−
12
y
=
6
9
(
4
3
y
+
2
3
)
−
12
y
=
6
6
=
6
(Simplify both sides of the equation)
6
+
−
6
=
6
+
−
6
(Add -6 to both sides)
0
=
0
Answer:
Infinitely many solutions.
8 0
4 years ago
If you invest $600 at 5% interest compounded continuously, how much would you make after 6 years?
algol13

Answer:

809.915$

Step-by-step explanation:

Amount of money = Principal x e^(rate x year)

                              = 600 x e^(0.05 x 6)

                              = 809.915$

4 0
3 years ago
Read 2 more answers
What is the value of x?
AlexFokin [52]

Answer:

x = 107

Step-by-step explanation:

The sum of the exterior angles of a polygon is 360

105 + 148 +x =360

Combine like terms

253 +x = 360

Subtract 253 from each side

253-253+x = 360-253

x = 107

3 0
3 years ago
Simplify the expression of 3 <br> 162x^5y8/6x^2y^2
Blababa [14]

Answer:

Step-by-step explanation:

6 0
2 years ago
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