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2 years ago

Find x ÷ y, if x = 3 5/8 and y = 3 3/4 . Express your answer in simplest form.

Mathematics

1 answer:

svetoff [14.1K]2 years ago

8 0

$\dfrac{3\frac{5}{8}}{3\frac{3}{4}}=\dfrac{(\frac{29}{8})}{(\frac{15}{4})}=\dfrac{29}{8}\dfrac{4}{15}\\\\=\dfrac{29}{30}$

x ÷ y = 29/30

_____
A suitable calculator can do this for you.

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Several items in a store are on sale. Complete the table with the correct prices.

jarptica [38.1K]

Answer:

1. $48

2.$49

3.$91

4.$12

Step-by-step explanation:

For 1 and 2

To find the sale price, you find out how much is the percentage of the original price. Example :

(20/100)/60 = $12

So $12 is the discount

thus sales price will be $60-$12=$48

Same thing for no.2, find the amount of the percentage and subtract it from the original price

For 3 and 4

To find the original price

1. Subtract the percentage from 100%

2. Multiply the sales price by 100

3. Divide the ans from no.2 by ans from no.1

Example :

100%-40%=60%

$54.60×100=5460

$5460÷60%= $91 (original price)

Same thing for no.4

Hope this helps haha

5 0

3 years ago

Someone has a Visa Card with an annual percentage rate of 16.8%. The unpaid balance for his June billing cycle is $1009.49. Du

iragen [17]

69420694206942069420

4 0

3 years ago

90units needed 8 units per case what's the #of cases & # of additional units

Kobotan [32]

Answer:

# of cases: 11

Additional units: 2

Step-by-step explanation:

If each case can hold 8 units, and we want to find the total # number of cases, we have to divide the # of units (8) for one case by the total # units (90).

As you can see, after dividing by 8, we have a total of 11 cases and a remainder of 2 units. The remainder will be the # of additional units because we cannot have another case filled with 8 units.

3 0

2 years ago

Suppose the average yearly salary of an individual whose final degree is a master's is $43 thousand less than twice that of an

natka813 [3]

Answer:

A person who holds a master's degree would earn an average $63,000

A person who holds a bachelor's only would earn an average $53,000

Step-by-step explanation:

We will need to construct equations from the sentences.

Firstly, let the yearly average for a master's degree holder be m and that of bachelor's be b.

Now, we know that someone with a master's earn 43000 less than twice what someone with bachelors earn.

Mathematically,

m = 2b - 43,000

Combined, they have an average salary of 116,000

Mathematically,

m + b = 116,000

Now we have 2 equations to solve simultaneously.

m = 2b - 43,000 ......(i)

m + b = 116,000 .......(ii)

We can sub I into ii

2b - 43,000 + b = 116,000

2b+b = 116,000 + 43,000

3b = 159,000

b = 159,000/3 = 53,000

m = 2b - 43,000

m = 2(53,000) - 43,000 = 63,000

6 0

3 years ago

A barrel of crude oil contains about 5.61 cubic feet of oil. How many barrels of oil contained in 1 mile (5280 feet) of a pipeli

8_murik_8 [283]

1)volume of the pipeline

The pipeline is a cylinder, therefore;
Volume (cylinder)=πr²h
r=radius
h=height of the cylinder

diameter=6 in*(1 ft / 12 in)=0.5 ft
raius=diameter / 2=0.5 ft / 2=0.25 ft.
height=5280 ft

Volume (pipeline)=π(0.25 ft)²(5280 ft)=330π ft³≈1036.73 ft³.

2) we calculate the number of barrel
1 mile of oil in this pipeline is 330π ft³ of oil.

1 barrel of crude------------------5.61 ft³
x----------------------------------330π ft³

x=(1 barrel*330π ft³) / 5.61 ft³=184.8 barrels

3) we calculate the price.

1 barrel---------------$100
184.8 barrels---------- x

x=(184.8 barrels * $100) / 1 barrel=$18,480

Solution: ≈$18,480

6 0

3 years ago