It takes a motorboat 6 hours to travel 96 miles down a river, and 2 hours longer to make the return trip. Find the speed of the current.

Answers

Answer 1

Answer: Speed = distance / time
Down river------> 96/6 = 16 mph
up river<------ 96/(6+2) = 12 mph
difference of 4 mph or +- 2 mph
14 + 2 for down river or with the flow
14 - 2 for up river, against the flow
so the speed of the river is 2 mph
((16+12)/2)-12 = 2 or ((16+12)/2)-16 = -2 depending on which way you define to be positive -- Speed is scaler anyway so can only be positive
the speed of the boat in still water is 14 mph

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What is the image of (-4,-7)(−4,−7) after a reflection over the x-axis?

Drag a digit into each box. Evaluate your expression.Try to find the result closest to 0.

Record the value of your expression

Answers

Answer:

The value of the expression is 2

Step-by-step explanation:

Find the complete question in the attachment.

From the attachment, we are to rearrange the numbers 1, 2, 3, 4, 5 and 6 into the boxes given and get a number closer to zero.

The expression will be in the format below:

a•xⁿ - b(c+d)

Taking a= 1, x = 2, n = 5, b = 3, c=4 d= 6

On substituting

= 1•2^5 - 3(4+6)

= 1•(32) - 3(10)

= 32-30

= 2

Since 2 is greater than 0, hence the arrangements will be first box takes 1, second takes 2, third box takes 5, fourth box takes 3, fifth box takes 4 and sixth box takes 6.

Final answer:

The question relates to evaluating mathematical expressions by dragging digits into the provided box. An example could be the expression 3 - [ ], where placing 3 in the box results in a zero value.

Explanation:

This question is pertaining to mathematical expressions and the dragging of the digits to evaluate the expression. To provide a specific example, consider the expression 3 - [ ]. You would need to drag the digit 3 into the box to make the expression 3 - 3 which equals 0. The value of your expression, in this case, would be 0, which is closest to 0. This procedure can be repeated with any other digits and mathematical expressions depending on the options provided to you.

Learn more about Evaluating Mathematical Expressions here:

brainly.com/question/36413550

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If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t*s)(x)?4(x – 7)2 – x – 7 + 3

4(x – 7)2 – (x – 7) + 3

(4x2 – x + 3) – 7

(4x2 – x + 3)(x – 7)

Answers

The correct answer is 4(x-7)²-(x-7)+3.

Explanation:
When we find (t*s)(x), that is the same as t(s(x)). To evaluate this, we take the value of s(x), x-7, and substitute it in for every x in t(x). Instead of 4x², we have 4(x-7)²; instead of -x, we have -(x-7). This gives us 4(x-7)²-(x-7)+3.

Answer:

$(4x^2-x+3)(x-7)<strong>$

D is the correct option.

Step-by-step explanation:

We have been given that

$s(x)=x-7\text{ and }t(x)=4x^2-x+3$

We have to find $(t\cdot x)$

which means we have to find the product of these two expressions.

We can rewrite $(t\cdot x)$ as $t(x)s(x)$

Therefore, we have

$(t\cdot x)\n\n=t(x)s(x)=(4x^2-x+3)(x-7)$

Hence, the equivalent expression is

$(4x^2-x+3)(x-7)$

D is the correct option.

Baseball cards come on packages of 8 and 12. Brighton bought some of each type for a total of 72 baseball cards. How many of each package did he buy?

Answers

4 packs of twelve cards and 3 packs of eight .

3 packages of 8 and 4 packages of 12

12 x 4 = 48
8 x 3 = 24

48 + 24 = 72 Cards

Factors of -36 that add to 13

Answers

To solve this problem follow the steps below.

Step 1:List out all of the factors for -36

-36: 1,2,3,4,6,9,12,18,36
-1,-2,-3,-4,-6,-9,-12,-18,-36

Step 2: Start going through a process of guessing and checking (basically take any two factors and add them together to see if they equal 13)

1 plus 12=13
9 plus 4=13

Step 3:Check your calculations and make sure you didn't make any errors

13-12=1 and 13-1=12
13-9=4 and 13-4=9

Answer: 1 and 12
4 and 9

I hope this helps and if any false information was given I apologize in advance.

A lumberman stacks planks of wood, starting with 30 planks in a row. Each row he stacks has one less plank than the row below it. The last row he stacks has 15 planks. How many rows of planks has he stacked?12

15

16

18

Answers

I would say 15. If i am wrong i take full credit.

A gardener is going to plant 2 red rosebushes and 2 white rosebushes. If the gardener is to select each of the bushes at random, one at a time, and plant them in a row, what is the probability that the 2 rosebushes in the middle of the row will be the red rosebushes?

Answers

Answer:

16.66%

Step-by-step explanation:

The probability would be the multiplication of the different events.

First event, take out a white rose and plant it, the probability of that is 2/4 = 1/2

Second event, take out a red rose and plant it, the probability is 2/3.

Third event, take out another red rose and plant it, the probability is 1/2.

Now, the probability of everything is:

(1/2) * (2/3) * (1/2) = 0.166

that is to say, the probability of what the statement asks us to happen is 16.66%

Answer:

The answer to the question is

The probability that the 2 rosebushes in the middle of the row will be the red rosebushes = 1/6

Step-by-step explanation:

To solve the question we note that the required permutation is WRRW

Therefore the total number of ways to plant the four rose bushes given that two white rose bushes are in the middle is given by

4!/(2!2!) = 6 Therefore the probability that the 2 rosebushes in the middle of the row will be the red rosebushes = 1/6

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If f(x) = x^3 – 2x^2, which expression is equivalent to f(i)?

If you wrote 0.0009763 as a single digit times a power of ten, would the exponent be positive or negative? A. 00:00 The exponent would be negative because the original number is greater than one. B. 00:00 The exponent would be positive because the original number is greater than one. C. 00:00 The exponent would be negative because the original number is less than one. D. 00:00 The exponent would be positive because the original number is less than one.