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Anton [14]
3 years ago
15

Crackers come in packages of 24 cheese slices come in packages of 18 and he wants one cheese slice for each cracker Patrick me t

he statement below if Andy doesn't want any crackers or cheese slices left over he needs to buy at least 432 of each is Patrick statement correct use numbers or words to explain why were you know if Patrick's exclamation is not correct what should he do?
Mathematics
1 answer:
Oxana [17]3 years ago
7 0

Answer:

Patrick's statement is incorrect

Step-by-step explanation:

Crackers come in packages of 24

cheese slices come in packages of 18

He wants one cheese slice for each cracker

Patrick made the statement below "if Andy doesn't want any crackers or cheese slices left over he needs to buy at least 432 of each"

Patrick's statement is incorrect

The lowest common multiple ( L. C. M) of 24 and 18 is 72

Therefore, Andy needs 72 packages of crackers and 72 packages of cheese slice so that no crackers or cheese slice will remain.

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A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners
Vlada [557]

Answer:

The measures of the angles at its corners are 59.1\°,35.4\°,85.5\°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle A

Applying the law of cosines

185^{2}= 215^{2}+125^{2}-2(215)(125)cos(A)

2(215)(125)cos(A)= 215^{2}+125^{2}-185^{2}

cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))cos(A)=0.513953

A=arccos(0.513953)=59.1\°

step 2

Find the measure of angle B

Applying the law of cosines

125^{2}= 215^{2}+185^{2}-2(215)(185)cos(B)

2(215)(185)cos(B)= 215^{2}+185^{2}-125^{2}

cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))cos(B)=0.81489

B=arccos(0.81489)=35.4\°

step 3

Find the measure of angle C

Applying the law of cosines

215^{2}= 125^{2}+185^{2}-2(125)(185)cos(C)

2(125)(185)cos(C)= 125^{2}+185^{2}-215^{2}

cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))cos(C)=0.0784

C=arccos(0.0784)=85.5\°

3 0
3 years ago
Can someone please tell me how to do this?
ziro4ka [17]

The vertical angles are congruent (or equal) so,

32 = 2x

2x = 32

2x/2 = 32/2 ..... dividing both sides by 2

x = 16 which is the answer

3 0
3 years ago
Read 2 more answers
The sum of two numbers is 49 and the difference is 25 . What are the numbers?
OLEGan [10]

Answer:

x = 37 y = 12

Step-by-step explanation:

Let x be one number

Let y = other number

x+y = 49

x-y = 25

Add the equations together

x+y = 49

x-y = 25

---------------

2x = 74

Divide by 2

2x/2 = 74/2

x =37

x+y = 49

37+y = 49

Subtract 37 from each side

37+y-37 = 49-37

y = 12

4 0
3 years ago
A baseball player runs at an average rate of 6 miles per hour. How many feet per hour is
aalyn [17]
31,680 feet per hour.

There are 5280 feet in a mile, so 6(5280)=31,680
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3 years ago
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Which type of question is most useful in a group discussion?
polet [3.4K]

Answer:

B

Step-by-step explanation:

it is B I am so sorry if it is wrong

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