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Debora [2.8K]
3 years ago
13

Mary and Jim have tickets to a concert. Mary's ticket number is one less than Jim's ticket number. The product of their numbers

is 812. What are the two numbers?
Mathematics
2 answers:
erastova [34]3 years ago
6 0
Mary - M 
<span>Jim - J </span>

<span>Mary's ticket number is one less than Jim's ticket number. </span>
<span>J - 1 = M </span>

<span>The product of their numbers is 812 </span>
<span>M * J = 812 </span>

<span>plus first equation into 2nd </span>
<span>(J - 1) J = 812 </span>
<span>J^2 - J - 812 = 0 </span>
<span>(J - 29) (J + 28) = 0 </span>
<span>J = 29 or -28, 29 cuz you can't have negative for question. </span>
<span>J = 29 </span>

<span>plus 29 in first equation, </span>

<span>29 - 1 = M </span>
<span>28 = M </span>

<span>Mary's ticket number is 28 and Jim is 29</span>
AnnyKZ [126]3 years ago
6 0
X+ (x-1)=812
x+x-1=812
2x-1=812
2x-1+1=812+1
2x=813
(2x/2)=(813/2)
x= 406.5

One ticket number has to be 406.5, and the other has to be 405.5
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3 years ago
If a=mg-kv2/m,find,correct to the nearest whole number the value of v when a=2.8,m=12,g=9.8 and k=8/3
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Answer:

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Step-by-step explanation:

Formatting the question gives;

a = mg - kv² / m

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(ii) Collect like terms

kv² = m²g - ma

(iii) Divide through by k

v² = (m²g - ma) / k

(iv) Take the square root of both sides

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From the question:

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Substitute these values into equation (i) as follows;

v = √ [(12²(9.8) - 12(2.8)) / (8/3)]

v = √ [(1411.2 - 33.6) / (8/3)]

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