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3 years ago

P and a are both prime numbers. Find the values of p and q so that 654p/q is a perfect cube.

Mathematics

1 answer:

daser333 [38]3 years ago

3 0

6x54= 324

6x50=300

6x4=24

300+24=324

The previous nearest cube root is 216 and the next cube root would be 343.

p/q could be any prime number which there are a lot of.

im going to say p is 1 and q is 3

next you would divide 1 by 3

1/3=0.666666667

324x0.666666667=216 exact

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Which ordered pair is a solution to the system of equations?

elixir [45]

I believe it would be (b) (-2,1)

4 0

3 years ago

Read 2 more answers

The Christmas Bird Count (CBC) is an annual tradition in Lexington, Massachusetts. A group of volunteers counts the number of bi

Lerok [7]

Answer:

(5.216) mean = 61.71

(5.217) standard deviation = 8.88

(5.218) P(X>=60) = 0.9238

(5.129) L = 79, U = 69

(5.130) P(X> or = U) = 0.7058

Step-by-step explanation:

The table of the statistic is set up as shown in attachment.

(5.216) mean = summation of all X ÷ no of data.

mean = 432/7 = 61.71 birds

(5.217)Standard deviation = √ sum of the absolute value of difference of X from mean ÷ number of data

S = √ /X - mean/ ÷ 7

= √551.428/7

S = 8.88

(5.218) P (X> or = 60)

= P(Z> or =60 - 61.71/8.8 )

= P(Z>or= - 0.192)

= 1 - P(Z< or = 0.192)

= 1- 0.0762

= 0.9238

(5.219)the 15th percentile=15/100 × 7

15th percentile = 1.05

The value is the number in the first position and that is 79,

L= 79

85th percentile = 85/100 × 7 = 5.95

The value is the number in the 6th position, and that is 69

U = 69

5.130) P(X>or = 60)

= P(Z>or= 69 - 61.71/8.8)

= P(Z> or = 0.8208)

= 1 - P(Z< or = 0.8209)

= 1 - 0.2942

= 0.7058

3 0

3 years ago

One positive integer is 5 times another positive integer and their product is 320. What are the positive integers?

NeTakaya

Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
x = 5y
xy = 320

Substitute the first equation into the second equation
(5y)(y) = 320
5y^2 = 320
y^2 = 64
y = 8 (y must be positive)

The integers are (x, y) = (40, 8).

7 0

3 years ago

Two trains leave stations 306 miles apart at the same time traveling toward each other one is traveling at 90 mph the other at 8

Sergeu [11.5K]

Answer:

They will meet in 1.8 hours.

Step-by-step explanation:

Given that, distance between trains = 306 miles

Let they take time $'t'$ to meet each other.

Speed of first train = 90 mph

Speed of second train = 80 mph

Let distance traveled by first train = $D_1$ miles

Formula for distance:

$Distance = Speed \times Time$

Distance traveled by first train, $D_1 = 90t$

Let distance traveled by first train = $D_2$ miles

Formula for distance:

$Distance = Speed \times Time$

Distance traveled by first train, $D_2 = 80t$

Total distance traveled is 306 miles.

i.e.

$D_1+D_2=306\\\Rightarrow 90t +80t=306\\\Rightarrow 170t=306\\\Rightarrow t =\dfrac{306}{170}\\\Rightarrow \bold{t=1.8\ hr}$

They will meet in 1.8 hours.

3 0

3 years ago

5/6 , 7/18 , 11/24 , 19/36 in descending order

motikmotik

Answer: 5/6, 19/36, 11/24, 7/18

Step-by-step explanation:

Descending order is going from largest to smallest. We can do this by comparing the fractions. We make all the fractions have the same denominator. Then we will see which has the larger numerator.

$\frac{5}{6} , \frac{7}{18} , \frac{11}{24} , \frac{19}{36}$