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2 years ago

Alice works 42 hours, is paid $2.65 per hour, and receives $540.50 in tips. How much did Alice earn?

Mathematics

1 answer:

Talja [164]2 years ago

3 0

Answer:

$651.8

Step-by-step explanation:

Alice earns $2.65 per hour

In 42 hours she will earn = 42 * 2.65 = $111.3

Her total tip after 42hours is 540.5

Total money earned is 540.5+111.3 = 651.8

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3 years ago

What is the area of the trapezoid to the nearest tenth? <br> PICTURE BELOW ⬇⬇⬇⬇

Nastasia [14]

Answer:

62.4 ft²

Step-by-step explanation:

The unmarked horizontal dimension at the bottom of the triangle is ...

(8 ft)sin(30°) = 4 ft

The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...

(8 ft)cos(30°) ≈ 6.93 ft

Then the area of the trapezoid is given by the formula ...

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The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.

Sin = Opposite/Hypotenuse ⇒ Hypotenuse×Sin = Opposite

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3 years ago

The line plot shows the weights of packages of meat available at a grocery store. The 3 lightest packages cost $4.40 per pound.

Mnenie [13.5K]

Answer:

$42.40

Step-by-step explanation:

The horizontal axis is in fractions.

The three lightest are two $\frac{5}{8}$ pounds & one $\frac{6}{8}$ pounds. Each cost $4.40 per pound.

So cost = 4.40(5/8+5/8+6/8) = $8.8

Remaining costs 4.80 per pound. We add up the remaining and multiply by 4.80 to get their cost.

cost = $4.80(1+1\frac{1}{8}+1\frac{1}{8}+1\frac{1}{8}+1\frac{2}{8}+1\frac{3}{8})=33.6$

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3 years ago

Please helppp with this math question <333

Naya [18.7K]

Answer:

The average rate of change of the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$ is -1

Step-by-step explanation:

We are given the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$

We need to find average rate of change.

The formula used to find average rate of change is : $Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}$

We have b=-1 and a=-11

Finding g(b) = g(-1)

$g(x)=x^2+10x+18\\Putting \ x=-1\\g(-1)=(-1)^2+10(-1)+18\\g(-1)=1-10+18\\g(-1)=9$

Finding g(a) = g(-11)

$g(x)=x^2+10x+18\\Putting \ x=-11\\g(-11)=(-11)^2+10(-11)+18\\g(-1)=121-110+18\\g(-1)=29$

Finding average rate of change

$Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1$

So, the average rate of change of the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$ is -1

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2 years ago

3) If a = -19, d = 4 then find t2<br>

geniusboy [140]

Answer:

-15.

Step-by-step explanation:

Arithmetic sequence:-

t2 = a + d

= -19 + 4

= -15.

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3 years ago