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sineoko [7]
3 years ago
11

An item is priced at $80. It is on sale for 20% off the regular price. What is the sale price?

Mathematics
1 answer:
Masja [62]3 years ago
4 0
Regular Pirce = $80.

Discount = 20%

Discount = 20% x $80 = 0.2 x 80 = $16

Sale Price = 80 - 16 = $64

----------------------------------------------------
Answer: The Sale Price is $64.
----------------------------------------------------
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G(x) =2x + 4; Find g(-3)
yuradex [85]

Answer:

g(-3)=-2

Step-by-step explanation:

<u>Substitute g(-3) into the function:</u>

g(-3)=2(-3)+4

<u>Multiply:</u>

<u />g(-3)=-6+4

<u>Add:</u>

<u />g(-3)=-2

7 0
2 years ago
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Which expression is equivalent to 1/2 x + (-70) - 2 1/4 x - (-2) *
katovenus [111]

Answer:

-7/4x-68

Step-by-step explanation:

8 0
3 years ago
Four times the greater of two consecutive integers is 18 more than three times the lesser integer. What are the integers?
maw [93]
This is how I would solve it:

1st # = x                 4(x+1)=3x+18
2nd # = x+1              4x+4=3x+18
                                     4x=3x+14
                                       x=14

To check: 15x4=60; 60-42=18.       <u>1st # = 14; 2nd # = 15.</u>
5 0
3 years ago
Find the times (to the nearest hundredth of a second) that the weight is halfway to its maximum negative position over the inter
hoa [83]

Answer:

0.20 and 0.36

Step-by-step explanation:

y(t) = 2 sin (4π t) + 5 cos (4π t)

We wish to convert this to:

y = A sin(ωt + φ)

We know that ω = 4π.  We also know the following:

5 = A sin φ

2 = A cos φ

Divide the first equation by the second equation:

5/2 = tan φ

φ = tan⁻¹(5/2)

Now, square the two equations and add them together.

5² + 2² = (A sin φ)² + (A cos φ)²

29 = A²

A = √29

The equation of the wave is therefore:

y = √29 sin(4π t + tan⁻¹(5/2))

The maximum negative position is -√29.  And half of that is -½√29.

-½√29 = √29 sin(4π t + tan⁻¹(5/2))

-½ = sin(4π t + tan⁻¹(5/2))

7π/6 + 2kπ or 11π/6 + 2kπ = 4π t + tan⁻¹(5/2)

7 + 12k or 11 + 12k = 24t + 6 tan⁻¹(5/2) / π

t = (7 + 12k − 6 tan⁻¹(5/2) / π) / 24 or (11 + 12k − 6 tan⁻¹(5/2) / π) / 24

Trying different integer values of k, we find there are two possible values for t between 0 and 0.5, both when k = 0.

t = (7 − 6 tan⁻¹(5/2) / π) / 24 or (11 − 6 tan⁻¹(5/2) / π) / 24

t ≈ 0.20 or 0.36

5 0
3 years ago
Need help pronto! Will give brainliest!
irina1246 [14]
156°

D is a 24° angle, and is placed in a 90° angle, so 90-24=66

C is a right angle, so 90+66=156°

Hope this helped!
6 0
3 years ago
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