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svetlana [45]
2 years ago
11

Another name for take-home pay is

Mathematics
1 answer:
sasho [114]2 years ago
8 0

Another name for take home pay is net pay

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suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60. what is the length of the t
arlik [135]

Answer:

  √7 ≈ 2.646

Step-by-step explanation:

The law of cosines is applicable. It tells you ...

  c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.

Filling in the given information, you have ...

  c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7

  c = √7 ≈ 2.646

The length of the third side is √7, about 2.646 units.

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3 years ago
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|x-(-12)|; if x>-12 write without the absolute value sign
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Step-by-step explanation:

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Evaluate b^2 + 5a – 20
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Help my grade depends on it
Veseljchak [2.6K]
Lily made $75.36 more than Layla did.  If Layla raised her price to $1.00, she would still not make more money than Lily.

Use a proportion to find the number of cupcakes Lily makes in 8 hours.  She bakes 7 cupcakes in 10 minutes; we want to know how many she makes in 8(60)=480 (since there are 8 hours and each hour is 60 minutes):

7/10 = x/480

Cross multiply:
7*480 = 10*x
3360 = 10x

Divide both sides by 10:
3360/10 = 10x/10
336 = x

Lily bakes 336 cupcakes.

She sells 2/3 of these; 2/3(336) = 2/3(336/1) = 672/3 = 224 cupcakes sold.

Each cupcake is sold for $1.29; 224(1.29) = 288.96

To find the number of cupcakes Layla makes in 8 hours, we set up a different proportion.  We know she bakes 8 cupcakes in 12 minutes; we want to know how many she bakes in 8(60) = 480 minutes:

8/12 = x/480
8*480 = 12*x
3840 = 12x

Divide both sides by 12:
3840/12 = 12x/12
320 = x

She bakes 320 cupcakes.  She sells 75% of those; 75% = 75/100 = 0.75:
0.75(320) = 240

Each of those 240 cupcakes sells for $0.89:
0.89(240) = 213.60

This means Lily makes 288.96-213.60 = 75.36 more than Layla.

If Layla raised her price to $1.00, she would make 1(240) = $240; this is still less than Lily.
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3 years ago
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