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3 years ago

Select the correct answer.

Mathematics

1 answer:

Vikentia [17]3 years ago

3 0

Answer:

D. It has a single solution: x=-3, y= 26.

Step-by-step explanation:

3x + y=17

Subtract 3x so it is in y=mx+b form. So now it is y= -3x +17

Now plug in

x + 2 (-3x+17) = 49

x + -6x + 34 = 49 (distribute)

-5x = 15 (combine the x terms and subtract 34 on both sides)

x = -3 (divide -5 on both sides to get x alone)

now plug in x into any other equation to get y

x + 2y = 49

-3 + 2y = 49

2y = 52 (add 3 on both sides)

y = 17 (divide 2 on both sides to get y alone)

(-3, 26)

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impeded by the current the outing club took 4 hours and 24 minutes to paddle 11 km up the exeter river to their campsite last we

lilavasa [31]

Answer: if there had been no current, the rate would have been 4 km/hr.

The rate of the current is 1.5km/hr

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

Impeded by the current the outing club took 4 hours and 24 minutes(4 + 24/60 = 4.4 hours) to paddle 11 km up the exeter river to their campsite last weekend. This means that the total speed with which they travelled is (x - y) km/h

Distance = speed × time. Therefore

11 = 4.4(x - y)

Dividing through by 4.4, it becomes

2.5 = x - y - - - - - - - - - - -1

The next day the same current was with them and it took only 2 hours to make the return trip to campus. This means that the total speed with which they travelled is (x + y) km/h. The distance travelled is

11 = 2(x + y)

Dividing through by 2, it becomes

5.5 = x + y - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

8 = 2x

x = 8/2 = 4

Substituting x = 4 into equation 1, it becomes

2.5 = 4 - y

y = 4 - 2.5

y = 1.5

3 0

3 years ago

The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.1

Ivan

Answer:

0.6 probability that $-2 \leq x \leq 2$

Step-by-step explanation:

The probability distribution is given in the table.

Probability that x is between -2 and 2.

Between -2 and 2, inclusive, we have -2, 0 and 2. So

$P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2)$

From the table:

$P(X = -2) = 0.33, P(X = 0) = 0.16, P(X = 2) = 0.11$ . So

$P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2) = 0.33 + 0.16 + 0.11 = 0.60$

0.6 probability that $-2 \leq x \leq 2$

4 0

3 years ago

PLEASE HELP ME!!

Step2247 [10]

Answer:

A = $10,441.68

A = P + I where

P (principal) = $10,400.00

I (interest) = $41.68

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 0.02/100

r = 0.0002 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,400.00(1 + 0.0002/2)(2)(20)

A = 10,400.00(1 + 0.0001)(40)

A = $10,441.68

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.

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kirill115 [55]

Answer:shipping box=3.75*3*3.25=36.562 cubic feet.in width we have 15 cubes,in the legnt 12 while in height 13.with a total of 2340 cubes

Step-by-step explanation:

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