A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the current) takes 90 minutes. Which system of equations can be used to find x, the speed of the boat in miles per hour, and y, the speed of the current in miles per hour? Recall the formula d = rt. 9 = 0.5(x – y) 9 = 1.5(x + y) 9 = 1.5(x – y) 9 = 0.5(x + y) 0.5 = 9(x – y) 1.5 = 9(x + y) 1.5 = 9(x – y) 0.5 = 9(x + y)

The lengths of XY and YZ add up to the length of XZ:

XY + YZ = XZ

We know that XZ = 10 + 1/5 = 51/5, and XY = 4 + 2/3 = 14/3, so

14/3 + YZ = 51/5

Subtract 14/3 from both sides to solve for YZ:

YZ = 51/5 - 14/3

Find a common denominator; the least common multiple of 5 and 3 is 15, so multiply the first fraction by 3/3 and the second one by 5/5 to get

YZ = 153/15 - 70/15

YZ = (153 - 70)/15

YZ = 83/15

We have 80 = 75 + 8, so that

YZ = 83/15 = (75 + 8)/15 = 75/15 + 8/15 = 5 + 8/15

Answer:

The point P on line AB such that the ratio of AP to PB is 2:1 is P = (0, 3)

Step-by-step explanation:

The dimension of the graph can be taken as 1 box = 1 unit

Therefore;

The coordinates of the point A = (-2, -7)

The coordinates of the point B = (1, 8)

For the a point P that gives the ratio AP to PB = 2:1 is given as follows;

The fraction of AP to AB = 2/(2 + 1)×AB = 2/3 × AB

Which gives;

The coordinate of the point P = (-2 + 2/3×(1 - (-2)), -7 + 2/3×(8 - (-7)))

P = (0, 3)

Therefore;

The coordinates of P such that the ratio of AP to PB is 2:1 is P = (0, 3).

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849381 - 9 = 849372

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Answer:

write down the equations for each, add them then do some manipulation to get the pencil and erasors on one side

Answer:

The IV pump infusion rate = 0.05ml per minute

Step-by-step explanation:

available concentration = 50 mg per 250 ml of D5W

This means that

250 ml of D5W contains 50 mg

note that

mg = milligram

mcg = microgram

250 ml = 50mg

1ml = 50/250 mg

1ml = 0.2mg

Next, let us convert from milligram (mg) to microgam (mcg) since the unit of administration is in mcg.

1 mg = 1000 mcg

∴ 0.2 mg = 1000 × 0.2

= 200mcg

Therefore the available concentration 200mcg/ml

required concentration/min = 10

since 1 ml = 200mcg

1 mcg = (1 ÷ 200) ml

1 mcg =  0.005 ml

∴ 10 mcg = 0.005 × 10 = 0.05 ml

10 mcg is contained in 0.05 ml of the solution

Therefore, the IV pump infusion rate = 0.05ml per minute

Answer:

Oriental and American cockroach

Step-by-step explanation:

The question is not complete. The complete question is:

The length of the oriental, American and Australian cockroaches are 3.432 cm, 3.576 cm and 3.583 cm respectively. Scientist measured a Madeira cockroach and found it to be 3.438 centimeters long. Between which two cockroaches would the Madeira cockroach belong?

Answer: From the question, the Australian cockroach  is the longest cockroack with a length of 3.583 cm followed by the American cockroach of length 3.576 cm and lastly the Oriental cockroach of length 3.432 cm.

If the Madeira cockroach is to be placed, its length is greater than that of the Oriental cockroach but less than that of the American cockroach hence it would be placed between the Oriental and American cockroach. The lengths from lowest to highest is:

3.432 cm 3.438 cm 3.576 cm 3.583 cm

Answer:

idk

Step-by-step explanation:

Answer:

29090

Step-by-step explanation:

First of all, we will have to calculate the volumes of a soft ball and the volume of box.

Then we will divide the volume of box with volume of softball to find the number of balls that can be stored in the box.

Diameter of softball = 3.8 in

Radius of softball = 1.9 in = 0.158 ft

Volume of a sphere = [tex]\frac{4}{3}\pi r^3[/tex]

[tex]\Rightarrow \dfrac{4}{3}\pi (0.158)^3=0.0165\ ft^3[/tex]

Volume of cuboid box = Length [tex]\times[/tex] Width [tex]\times[/tex] Height = 6 [tex]\times[/tex] 10 [tex]\times[/tex] 8 = 480 [tex]ft^3[/tex]

Number of softballs that can fit inside the storage = [tex]\frac{480}{0.0165}[/tex] = 29090

Answer:There are two possible answers. 41 and 47

Step-by-step explanation: These both have a difference of 3 between the digits. Other prime numbers between 40 and 60: 43, 53, 57, 59 have differences of 1, 2, and 4.

Answer:

[tex]Point(9,1)[/tex]

Step-by-step explanation:

Given

Point: (6,3)

Required

Translate 2 units down and 3 units left

Taking the translation 1 after other

When a function is translated down, only the y axis is affected;

2 units down implies that, 2 be subtracted from the y value.

The function becomes

[tex]Point: (6, 3 - 2)[/tex]

[tex]Point: (6, 1)[/tex]

3 units right implies that, 3 be added tothe x value.

The function becomes

[tex]Point(3+6,1)[/tex]

[tex]Point(9,1)[/tex]

Hence;

Option D answers the question

Answer:

Width (w) = 72 yds

Length (L) = 217 yds

Step-by-step explanation:

Let L represent the length.

Let w represent the width.

From the question given above:

Perimeter (P) = 578 yds.

Length (L) is one more than three times the width (w). This can be written as. Follow:

three times the width (w) = 3w

Therefore, the length (L) is given by:

L = 1 + 3w

Next, we shall determine the value of length (L) and width (w). This can be obtained as follow:

Recall:

Perimeter of rectangle is given by:

P = 2(L + w)

P = 2L + 2w

Perimeter (P) = 578 yds.

Length (L) = 1 + 3w

Width (w) = w

P = 2L + 2w

578 = 2(1 + 3w) + 2w

Clear bracket

578 = 2 + 6w + 2w

578 = 2 + 8w

Collect like terms

578 - 2 = 8w

576 = 8w

Divide both side by 8

w = 576/8

w = 72

Therefore, the width is 72 yds

L = 1 + 3w

w = 72

L = 1 + 3(72)

L = 1 + 216

L = 217

Therefore, the length is 217 yds.

The dimensions of the garden is given below:

Width (w) = 72 yds.

Length (L) = 217 yds.

Answer:

$144

Step-by-step explanation:

15*4=60

60*6=360

360*0.6=216

360-216=144

Answer:

9

Step-by-step explanation:

12-5=7 so...

2+7 = 9

y = 9

Answer:

y = 156

Step-by-step explanation:

The equation for direct variation is

y = kx

65 = k*5

Divide each side by 5

65/5 = k

13 =k

The equation is y = 13x

Let x = 12

y = 13*12

y = 156

kinda disrespectful someone didn't answer this but anyway..

Without an explanation your answer is 7

W/ an explanation:

___________________________________

7 should be removed from the list because all the other numbers can multiply to 48

1 x 48   ✔

2 x 24  ✔

3 x 16   ✔

4 x 12   ✔

6 x 8    ✔

7 x ?     ❌

Thus, 7 is left with nothing to multiply by besides itself which would give you 47 but the number we have the list of is 48. So 7 is your number to remove from the list.

C) 20 points

James - 5

Richard + 15

What is the difference in their scores ?

+ 15 - (- 5) =

= 15 + 5

= 20 points

Answer:

a is the answer because the question had said that to find out the difference

Represent your numbers as follows.

X ⇒ first number

X + 1 ⇒ second number

Since their sum is 91, we have x + (x + 1) = 91.

Solving from here, simplify on the left side to get 2x + 1 = 91.

Subtract 1 from both sides to get 2x = 90.

Now divide both sides by 2 and x = 45.

So if x = 45, then x + 1 must be 46.

So our numbers are 45 and 46.

Answer:

5423875

Step-by-step explanation:

Answer:

10/3

Step-by-step explanation:

-1(6h + 7) = -6h - 7

-6h - 7 + 8 = -6h + 1

-6h + 1 = -19

        -1     -1 - Subtract 1 from both sides.

-6h = -20

-6        -6 - Divide both sides by negative 6

h = 10/3

Answer:

h = 10/3

Step-by-step explanation:

-(6h + 7) + 8 = -19

Subtract 8 from each side

-(6h + 7) + 8-8 = -19-8

-(6h + 7)  = -27

Divide by a negative

6h+7 = 27

subtract 7

6h+7-7 = 27-7

6h = 20

Divide by 6

6h/6 = 20/6

h = 10/3

Answer: - 8

Step-by-step explanation:

(2-(-3)*2+2*(-3)*3

10-18

= - 8

Inbox me on fb with same username for further assistance

Answer:

yep

Step-by-step explanation:

60 and 72/2

30 and 36/2

15 and 18/3

5 and 6

Answer:

got you i dont see a picture  so

Step-by-step expla nation:

18 and 12/6

30 and 36/2

15 and 18/3

80 and 8/8 thats just somehting simple

Answer:

20[tex]x^{2}[/tex] + 109x -15

Step-by-step explanation:

12x * 5 = 60x

12x * 3x = 36x

12x * -2x= -24[tex]x^{2}[/tex]

-3 * 5 = -15

-3 * 3x = -9x

-3 * -2x = 6x

2x * 5 = 10x

2x * 3x =6x

2x * -2x= -4[tex]x^{2}[/tex]

60x + 36x -9x + 6x + 10x + 6x = 109x

24[tex]x^{2}[/tex] - 4

-15

Hope this helpss

Answer:

$5,675

Step-by-step explanation:

you would just take 4% and 5% of 2500 which is 100 and 125 and multiply them both by 3 which is 300 and 375 and add them both to the 2500 which is 2800 and 2875 and since it asks for the sum you would add then to get a total of $5,675

Answer:

y-axis and x-axis

Step-by-step explanation:

Answer:

≈21.16%

Step-by-step explanation:

Population = 66.65 M

14.1 M make up:

Answer:

Zachary's Orchards

Step-by-step explanation:

We are already given the percent of trees at Alexandra's Orchards, so nothing to do here, yet.

Zachary's Orchards we could find by dividing the trees over the total.

558/563 = .9911

Multiply by 10 in order to get a whole number

.9911 * 10 = 99.11

Hence, Zachary's Orchards have a greater percentage

Answer:

40 - x - x - x - 5.75  OR  40 - 3x - 5.75  OR  34.25 - 3x

Step-by-step explanation:

To find the amount of money Tim has left, we will simply write an expression that starts with the total he started with subtracting each expense.

$40

- $x

- $x

- $x

- $5.75

________________________

$40 - $x - $x - $x - $5.75

= $ (40 - 5.75) - 3(x)

= $ 34.25 - 3x

So you can choose one of three of these expressions:

(1) 40 - x - x - x - 5.75

(2) 40 - 3x - 5.75

(3) 34.25 - 3x

Cheers.

Answer:

greater than

Step-by-step explanation:

7/8 is greater than 4/8

Answer:

168

Step-by-step explanation:

No of cans of soda Dixie has = 185 - 17 = 168

Another way:

Let Dixie has x cans of soda

Therefore,

Viola has = (x + 17) cans

According to the given information:

x + 17 = 185

x = 185 - 17

x = 168