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Nat2105 [25]
3 years ago
12

How many ordered pairs of prime numbers (a,b) are there such that a+b=100?

Mathematics
1 answer:
egoroff_w [7]3 years ago
3 0
6 pairs with a < b. 12 otherwise.

(3, 97), (11, 89), (17, 83), (29, 71), (41, 59), (47, 53)
and
(53, 47), (59, 41), (71, 29), (83, 17), (89, 11), (97, 3)
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The triangles are congruent. Find the length of each hypotenuse.
Zina [86]
If the triangles are congruents:
1) AC must be congruent with FE→AC=FE→y+3=2y+1→
y+3-y-1=2y+1-y-1→
2=y→y=2

2) CB must be congruent with ED→CB=ED→5x+7=6x+2y→
5x+7-5x=6x+2y-5x→7=x+2y→x+2y=7

Replacing y=2 in the equation above:
x+2y=7→x+2(2)=7→x+4=7→x+4-4=7-4→x=3

Then the lenght of each hypotenuse is:
CB=5x+7=5(3)+7=15+7→CB=22
or
ED=6x+2y=6(3)+2(2)=18+4→ED=22

The length of each hypotenuse is 22
6 0
3 years ago
A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 66 feet per second
OverLord2011 [107]
Given that the equipment elevator descends at 6 feet per second.

The total number of seconds travelled by the equipment elevator is 23 + 16 = 39 seconds.

Thus the <span>position of the equipment elevator relative to the surface is given by -(6 x 39) = -234 feet.

Given that </span>the <span>miners elevator descends at 16 feet per second.

The total number of </span>seconds travelled by the miners elevator is 16 seconds.

Thus, the <span>position of the miners elevator relative to the surface is given by -(16 x 16) = -256 feet.

At that time the miners' elevator is deeper.
</span>
7 0
4 years ago
Situation:
Nat2105 [25]

Answer:

{ \bf{A=(P +  \frac{r}{100} ) {}^{n} }} \\ { \tt{ = (4000 +  \frac{5.5}{100} ) {}^{15} }} \\  \\ { \tt{ =  \: 1.074 \times  {10}^{54}  \: dollars}}

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3 years ago
Question 1 of 10
yKpoI14uk [10]

Answer:

<5 is the remote interior angle to <1

They are on the same line, or, they are supplementary, and will add up to 180 degrees

5 0
3 years ago
Help math problem please
3241004551 [841]
What you would do is 1/4+1/4=1/2. Then since we know Brookfield to Oakdale is 2/3, do 2/3-1/2. To do this we find common denominators, then do 4/6-3/6 to is get an answer of 1/6 mile. Tell me if this is correct.
7 0
3 years ago
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