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Salsk061 [2.6K]
3 years ago
6

Lucy earns ​$5.50 per hour at a local restaurant. She earns time and a half for each hour she works on a holiday. Lucy worked se

venseven hours each day for five five ​days, then worked for four hours on a holiday. How much did she earn for that​ week?
Mathematics
1 answer:
Mrrafil [7]3 years ago
5 0
X will be used for the value of money she earned that week.

H represents the normal hours she worked.

D represents the number of days.

Y will represent the hours on the holiday.

Since she would be getting time and a half on the holiday, you would need to find how much time and a half pay would be first.

Time and a half = 5.50(1/2) + 5.50 = $8.25/hr for the day or holiday only.

X = 5.50(H)(D) + 8.25(Y)

Plug in your numbers

X = 5.50(7)(5) + 8.25(4)

X = 192.5 + 33

She made $225.5 that week.
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When multiplying two powers that have the same base, you can add the exponents.
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2 years ago
Seth bought a 12 - ounce jar of peanut butter for $3.60. What is the unit price?
allochka39001 [22]

Since the jar is 12 ounces, we want to find the price when it is one ounce. We do this by dividing the price, $3.60, by 12:

3.60/12 = 0.3

So, the answer is $0.30/oz, or (B).

4 0
3 years ago
Solve the triangle.
vova2212 [387]

9514 1404 393

Answer:

  b = 71 m

  A = 83°

  C = 29°

Step-by-step explanation:

Many calculators can solve triangles. Apps are available for phone and tablet, or on the internet, like the one used here. In general, it takes less time to use one of these than to type your question into Brainly.

Given two sides and the angle between them, the Law of Cosines is the appropriate relation to use for finding the third side.

  b = √(a² +c² -2ac·cos(B))

  b = √(76² +37² -2·76·37·cos(67.75°)) ≈ √5015.48

  b ≈ 70.82005 ≈ 71 . . . meters

__

One a side and its opposite angle are known, the remaining angles are found using the Law of Sines.

  sin(A)/a = sin(B)/b

  A = arcsin(a·sin(B)/b) = arcsin(76·sin(67.75°)/70.82005) ≈ 83.33°

  A ≈ 83°

  C = arcsin(37·sin(67.75°)/70.82005) ≈ 28.92°

  C ≈ 29°

Or, you can find the remaining angle from 180° -68° -83°  = 29°.

3 0
2 years ago
Convert 6 feet to miles ( round five decimal places
Neporo4naja [7]

Answer:

0.00114

Step-by-step explanation:

Divide length value by 5280

4 0
3 years ago
Use the circle graph to determine how many hours per day Becky spends on each activity.
Oduvanchick [21]
404 error: graph not found

anyway, the graph was not included. since the sleep time was included, I will assume that the circle graph is worth 24 hours

all we need to do is to convert the percentages to fractions and multiply that by 24 to find out how many hours per activity


percent means parts out of 100 so x%=x/100


so we have
School
Eating
Sleep
Homework
Free Time

School=25%
25%=25/100=1/4
1/4 times 24=6
School: 6 hours


Eating=10%
10%=10/100=1/10
1/10 times 24=2.4
Eating: 2.4 hours


Sleep=40%
40%=40/100=4/10=2/5
2/5 times 24=48/5=9.6
Sleep: 9.6 hours


Homework=10%
10%=10/100=1/10
1/10 times 24=2.4
Homework: 2.4 hours


Free Time=15%
15%=15/100=3/30
3/20 times 24=72/20=36/10=3.6
Free Time: 3.6 Hours

Answers:
School: 6 hours
Eating: 2.4 hours
Sleep: 9.6 hours
Homework: 2.4 hours
Free Time: 3.6 Hours


3 0
3 years ago
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