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docker41 [41]
3 years ago
12

Claire bought 180 candies and 140 pens for goody bags for her birthday. What is the largest number of goody bags that Claire can

make so that each goody bag has the same number of candies and the same number of pens?
Mathematics
2 answers:
Kruka [31]3 years ago
6 0
Wouldn't it be 140 bags with one of each in it; unless you need to use all the candies?
Kitty [74]3 years ago
6 0

Answer: 20

Step-by-step explanation:

Given : Claire bought 180 candies and 140 pens for goody bags for her birthday.

To find : The largest number of goody bags that Claire can make so that each goody bag has the same number of candies and the same number of pens ( such that no pens or candies left).

So we find the GCF ( Greatest common factor ) or Number of candies and Number of pens.

i.e. we need to find GCF of 180 and 140 .

Prime factorization of 180 = 2\times2\times3\times3\times5

Prime factorization of 140 =2\times2\times7\times5

The greatest common factor of 180 & 140 = 2\times2\times5=20

∴ Claire can make 20 goody bags so that each goody bag has the same number of candies and the same number of pens.

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Carys is checking her tax bill for the last year .the tax rates were as follows: no tax on the first 11000 of earnings .earnings
faust18 [17]

Answer:

$7,440.

Step-by-step explanation:

We have been given the tax rates as follows:

$0-$11,000 = No tax.

$11,000-$43,000 = 20%.

$43,000-$150,000 = 40%.

Earnings over $150,000 = 45%.

Since last year Carys earned $45,600, so we will have to find the tax paid by her for 11,000-43,000 at rate of 20%, then the tax for amount over 43,000 at the rate of 40%.

\text{The amount of tax paid by Carys for 11000-43000}=\frac{20}{100}\times (43,000-11,000)  

\text{The amount of tax paid by Carys for 11000-43000}=0.20\times (32,000)

\text{The amount of tax paid by Carys for 11000-43000}=6400

\text{The amount of tax paid by Carys for the amount over 43000}=\frac{40}{100}\times (45,600-43,000)

\text{The amount of tax paid by Carys for the amount over 43000}=0.40\times (2600)

\text{The amount of tax paid by Carys for the amount over 43000}=1040

\text{The total amount of tax paid by Carys}=6400+1040

\text{The total amount of tax paid by Carys}=7440

Therefore, Carys paid an amount of $7,440 in tax.

6 0
3 years ago
Read 2 more answers
The vehicles petrol tank has a capacity of 40 litres. Will the vehicle be able to cover the full distance of 340km with on petro
mixer [17]

The vehicle be able to cover the full distance of 340km with on petrol tank if the petrol usage is 14 km/1.

Since the vehicles petrol tank has a capacity of 40 litres and the bvehicles wants to cover a distance of 340 with a pertol usage of 14 km/l.

We need to determine if the petrol in the tank will be enough to cover that distance.

<h3>Distance</h3>

So, distance = petrol usage × volume of tank

Since

  • petrol usage = 14 km/l and
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Substituting the values of the variables into the equation, we have

distance = petrol usage × volume of tank

distance = 14 km/l × 40 l

distance = 560 km

Since the distance covered = 560 km which is greater than 340 km, the vehicle will be able to cover the full distance.

So, the vehicle be able to cover the full distance of 340km with on petrol tank if the petrol usage is 14 km/1.

Learn more about distance here:

brainly.com/question/10428039

5 0
2 years ago
Will give brainliest answer
vova2212 [387]

Answer:

pls I'll send you the answer tomorrow

5 0
2 years ago
Can someone simplify this for me and the answer I don’t know help quickly!!!
Vinil7 [7]

Answer:

9/10

Step-by-step explanation:

8 0
2 years ago
Which two points of concurrency can you locate by only drawing perpendicular​ segments? Select all that apply.
Tresset [83]
I am going to say it’s C

Hope it helps!

7 0
3 years ago
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