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3 years ago

13

Can you help with this one: Dorthy Katz, a computer programmer, earns regular hourly rate of 32.25 and time and a half when she

works overtime. In typical week she works 40 regular hours and 12 hours overtime find Dorthys a) Straight time pay: b) overtime pay c) total pay

1 answer:

Katena32 [7]3 years ago

3 0

a) 32.25* 40 = 1290

b) 32.25 (1.5) *12 =580.50

c) 1290+580.50=1870.50

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Write an equation in<br> y = mx + b form for<br> the line graphed.

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explanation

m is gradient so rise over run and b is the y intercept which is -5

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Use the properties of exponents to rewrite the expression.<br> (-3yz)(-3yz)(-3yz)(-3yz)

Lera25 [3.4K]

Answer:

Answer is 81y^4z^4

Step-by-step explanation:

The expression is (-3yz) (-3yz) (-3yz) (-3yz).

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(-3yz)^1 (-3yz)^1 (-3yz)^1 (-3yz)^1

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So,

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3 years ago

A cash box contains $74 made up of quarters, half-dollars, and one-dollar

Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

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Then, substitute <em>q</em> in the first equation with the expression from the third equation:

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Next, substitute <em>h</em> in that equation with the expression from the second equation:

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$2.9d+1.5=74\\2.9d=72.5\\d=25$

Substitute 25 for <em>d</em> in the second equation to find <em>h</em>, the number of half-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{h=\frac{3}{5}(25)+1}$

$h=15+1\\h=16$

Substitute 25 for <em>d</em> and 16 for <em>h</em> in the third equation to find <em>q</em>, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

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$16 = 15 + 1\\16 = 16\\\text{Check.}$

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

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adding the 2 equations term by term will eliminate y

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sleet_krkn [62]

Answer:

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