The time it takes an excursion boat to travel 36 miles downstream is the same as the time it takes the boat to travel 12 miles upstream. If the stream is 4 miles per hour, which of the following is the speed of the boat in still water.

Answer:

q = 0

Step-by-step explanation:

Solving the given Equation for q : 3 + q + 9 = 12 we get Option (b) q = 6

In the given equation, 3 + q + 9 = 12, we need to solve for q. To do this, we first combine the constants on the left side of the equation: 3 + 9 = 12. This simplifies to 12 = 12. Now, our equation becomes q + 12 = 12.

Next, we want to isolate q on one side of the equation. To do this, we can subtract 12 from both sides: q + 12 - 12 = 12 - 12. This simplifies to q = 0.

However, we must be cautious. While q = 0 satisfies the original equation of 3 + q + 9 = 12, it does not satisfy the intermediate equation q + 12 = 12. In fact, any value of q will satisfy the intermediate equation since adding 0 to any number does not change its value.

Let's verify the other answer choices:

(a) q = 0: As we just discussed, q = 0 satisfies the intermediate equation but not the original equation.

(c) q = 18: If we substitute q = 18 into the original equation, we get 3 + 18 + 9 = 30, which is not equal to 12.

(d) q = 24: If we substitute q = 24 into the original equation, we get 3 + 24 + 9 = 36, which is not equal to 12.

Therefore, the correct answer is (b) q = 6, as q = 6 satisfies both the intermediate equation (6 + 12 = 12) and the original equation (3 + 6 + 9 = 12).

In summary, the correct value of q that satisfies the given equation is 6.

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300 (3 hundreds)+20 (2 tens) should equal 320. Greg confused the hundreds place with the tens place and the tens place with the ones place, what he thought was : 3 tens plus 2 ones equals 32. Answer: He got hundreds confused with tens, and tens confused with ones.

300 (3 hundreds)+20 (2 tens) should equal 320. Greg confused the hundreds place with the tens place and the tens place with the ones place, what he thought was : 3 tens plus 2 ones equals 32. Answer: He got hundreds confused with tens, and tens confused with ones.

The attachment shows a model for 2².

Hey there!!

Question given :

... 2²

2² = 2 × 2 = 4

Hence, 2² = 4.

In the options given, the only answer which suites the question is the 4 squares.

Hope my answer helps!!

Answer:

86

Step-by-step explanation:

The pattern follows this rule:

Every time, the difference between current term and the succeeding term is 0.5 more than that of the current term and preceding term.

The difference between the current term and the preceding term is:

89.5 - 92.5 = 3

Hence, the next term of the sequence should be 3.5 less than the current term.

Hence, the next term is 89.5 - 3.5 = 86.

lily get 3 /(4+3)

she get 3/7

Final answer:

Lily receives 3/7 of the total money when it is shared in a 4:3 ratio with Annie.

Explanation:

If Annie and Lily share some money in the ratio of 4:3, we can use this ratio to determine what fraction of the money Lily gets. The total parts of the ratio are 4 (for Annie) plus 3 (for Lily), which equals 7 parts in total.

Lily's share is 3 parts of the total 7 parts. So, Lily receives 3/7 of the total money. This fraction represents Lily's portion when the money is divided according to the given ratio.

One correct answer:

D

Because all of the sides are even, and it has no 90 degree angles.

i think the best answer for this question is B) Scalene

x + (2/3)x = 2x-4

(2/3)x = x-4

2x = 3x-12

0= x-12

12 = x

Answer:  The required length and breadth of the rug are 46 yards and 189 yards respectively.

Step-by-step explanation:  Given that a rectangular rug has a perimeter of 470 yards. The width of the rug is 5 yards more than four times the length.

We are to find the length and width of the rug.

Let l represents the length of the rug. Then, the width of the rug will be

[tex]w=4l+5.[/tex]

According to the given information, we have

[tex]470=2l+2w\\\\\Rightarrow 470=2l+2(4l+5)\\\\\Rightarrow 470=2l+8l+10\\\\\Rightarrow 10l=460\\\\\Rightarrow l=\dfrac{460}{10}\\\\\Rightarrow l=46.[/tex]

So, the width is given by

[tex]w=4\times46+5=184+5=189.[/tex]

Thus, the required length and breadth of the rug are 46 yards and 189 yards respectively.

The riddle compares a lame elephant to the act of adding 19 and 4, where the answer lies in the wordplay of 'one-legged' (1+9+4) and 'too-free' (sounding like 23).

The question "Why is a lame elephant like adding 19 and 4?" appears to be a playful riddle rather than a straightforward math problem.

The answer to this riddle plays on the similarity in sound between the words 'lame' and the number '1' when saying 'one-legged' or '1-legged', as well as the sum of the numbers 19 and 4 being 23, which can sound like 'two' and 'three' or 'too-free' when spoken quickly.

To conclude, a lame elephant is like adding 19 and 4 because it is 'one legged' or could be jokingly considered 'too-free' to walk as it would if it weren't lame.

so you would isolate the variable

3/4x + 3 = 5/6

(3/4 * 12)x + 3 = (5/6 * 12)

9x + 3 = 10

You have to find the lowest common denominator (LCD) by finding the number that you can multiply into every fraction to turn them into a whole number.

Answer:

  Change in number of bushels after 6 days = 46.4 bushels.

Explanation:

 A farmer has 140 bushels of wheat to sell at his roadside stand.

  He sells an average of [tex]15\frac{3}{5}[/tex] bushels each day = [tex]\frac{15*5+3}{5} =\frac{78}{5}[/tex]bushels

  Total number of bushels sold after 6 days = 6* [tex]\frac{78}{5}[/tex] = 93.6 bushels.

  Change in number of bushels after 6 days = 140 - 93.6 = 46.4 bushels.

Answer: He has about 46 bushels left (46.4)

Step-by-step explanation:

Hi, to answer this question we have to multiply the average sell of bushels per day (15 3/5) by the number of days stated (6):

Finally we have to subtract the number obtained to the number of bushels that the farmer had at the beginning.

He has about 46 bushels left (46.4)

Feel free to ask for more if needed or if you did not understand something.

10x + 2y > 20

Solution

Step 1: First we have to rewrite the given equation y in terms of x.

Subtract 10 x from both sides, we get

10x - 10x + 2y > -10x + 20

2y > -10x + 20

Divide both sides by 2, we get

y > -5x + 10

Step 2: Now we have to find the coordinates by plugging in the values of for x = -1, 0, 1

and  find the corresponding values for y.

Plug in x = -1,

y = -5(-1) + 10 = 5 + 10 = 15.

The coordinates are (-1, 15)

Plug in x = 0, we get

y = -5(0) +10 = 10

The coordinates are (0, 10)

Plug in x = 1, we get

y = -5(1) + 10 = -5 +10 = 5

The coordinates are (1, 5)

Step 3: Now plot the points on a grid and draw the draw the dotted line because it is greater than. Since it is grater than we have to shaded the region above the line.

Note: Attached the graph. Please have a look at it.

Thank you. :)

Answer:

60 hummingbirds can be fed by a 12 ounce feeder.

Step-by-step explanation:

In order to solve this problem, we can make a ratio table. For every 16 ounce feeder, 80 hummingbirds can be fed. However, we want to calculate how many hummingbirds can be fed by a 12 ounce feeder. We can get a common denominator for our ratio to solve this. 16:80 divided by 4:4 is 4:20. Since 4 is a factor of 12, we can multiply 4 by 3 to get 12. However, what we do to one section we do to the other. 20 x 3 is 60. 60 hummingbirds can be fed by a 12 ounce feeder.

Answer:

Equation is [tex]y=\frac{-2}{3} x+3[/tex].

Graph is attached.

Step-by-step explanation:

General format of a linear equation is given as,

y=mx+c

where,

y is the dependent variable.

m is the slope/ gradient

x is the independent variable

c is the y-intercept

By substituting values to the above general equation format we get;

[tex]y=\frac{-2}{3} x+3[/tex].

Graph is attached.

He has 25 student n his class

The distance to the lake surface from Lisa's hand is 48 inches. The distance to the rock is increasing at the rate of 2 inches per second.

The distance (y) from Lisa's hand to the rock at time t (seconds) is ...

... y = 48 +2t

Answer:

The distance from Cleveland to Cincinnati on the second map is 8 cm.

Step-by-step explanation:

The distance from Cleveland to Cincinnati is 40 cm on the first map and the scale on the first map is 1 cm to 10 km.

So, the actual distance from Cleveland to Cincinnati [tex]=(40*10) km = 400 km[/tex]

Suppose, the distance from Cleveland to Cincinnati on the second map is  [tex]d[/tex] cm.

Given that, the scale on the second map is 1 cm to 50 km. So, the equation will be........

[tex]\frac{d}{400}=\frac{1}{50}\\ \\ 50d=400\\ \\ d=\frac{400}{50}=8[/tex]

So, the distance from Cleveland to Cincinnati on the second map is 8 cm.

The distance from Cleveland to Cincinnati on the second map can be found to be 8 cm.

To find the actual distance from Cleveland to Cincinnati, you would multiply the map distance by the scale:

= 40 cm * 10 km/cm

= 400 km

So, the actual distance from Cleveland to Cincinnati is 400 km.

Now, on the second map, the scale is 1 cm to 50 km.

To find the distance from Cleveland to Cincinnati on the second map, you would divide the actual distance by the scale of the second map:

= 400 km / 50 km/cm

= 8 cm

So, the distance from Cleveland to Cincinnati on the second map would be 8 cm.

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There are 27 skylights total.

The total number of skylights all together is 27.

To find the total number of skylights, we need to multiply the number of rows by the number of skylights in each row. In this case, there are 3 rows and 9 skylights in each row. So, we can calculate the total number of skylights as 3 x 9 = 27.

Answer:

The mark up is $21.16 and the final selling price is $44.14

Step-by-step explanation:

To find the mark up price, you simply multiply the cost by the mark up percentage. This will give you the mark up.

$23 * 92% = $21.16

Now to find the total selling price, we add the cost and the mark up together.

$23 + $21.16 = $44.16

Final answer:

The amount of markup on the Algebra 1 book is $21.16, calculated by multiplying the wholesale price of $23 by the markup percentage of 92%. The selling price of the book is $44.16, the sum of the wholesale price and the markup.

Explanation:

To calculate the amount of the markup for the Algebra 1 books, we will apply a percentage increase to the wholesale price. The wholesale price of each book is $23, and the markup percentage is 92%. To find the markup amount, we multiply the wholesale price by the markup percentage:

Markup = wholesale price × Markup percentage

Markup = $23 × 0.92
Markup = $21.16

Now, to calculate the selling price, we add the markup to the wholesale price:

Selling Price = Wholesale Price + Markup
Selling Price = $23 + $21.16
Selling Price = $44.16

Therefore, the amount of the markup is $21.16, and the selling price of the book is $44.16.

Converting a power into an equivalent multiplication expression involves rewriting the power's base and exponent using multiplication. The exponent signifies how many times to multiply the base by itself.

Converting a power into an equivalent multiplication expression with two factors involves rewriting the power's base and exponent. Consider, for example, a power like 6^3. This expression can be rewritten as multiplication with two factors in different ways, such as 6 x 6 x 6 or 36 x 6. The exponent value tells us how many times to multiply the base by itself. Remember that this is true for all types of powers, including whole numbers, negative numbers, and fractions, which means your multiplication expression factors may differ.

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I this it is true but don’t quote me on it

To solve the expression 8.246 minus 5 hundredths, we subtract 0.05 from 8.246, aligning the decimal places, which gives us the final answer of 8.196, accurately rounded to the thousandths place.

To solve 8.246 - 5 hundredths, we need to understand what five hundredths mean. Five hundredths is the same as 0.05. So, the problem now looks like 8.246 - 0.05.

When we subtract these two values, we need to line up the decimal places properly:

Subtracting, we get:

It's important to note that when subtracting values, you must consider the position of the farthest right significant figure. In this case, the least precise number (original number) had its farthest right significant figure in the thousandths place, so our final answer is also rounded to the thousandths place.

This is a proportion problem, setting up the proportion is the hard part, but once you get that, the calculations are easy.

So, lets set one up

(Let x = the weight of the patient)

[tex]\frac{104lbs}{156mg} = \frac{x}{207mg}[/tex]

Now, Just cross multiply and solve.

104*207 = 156 *x

21528 = 156x

138 = x

The patient requiring 207 miligrams of medicine weighs 138 lbs.

4 * 4 * 4 * 4 is another way to rewrite 4^4

4 Rasied to the fourth power is equal to

[tex]4^4[/tex]

The big number (the base) is what is being multiplied, and the exponent (the small number) is how many times it is being multiplied by itself

For example

[tex]2^3 = 2\times2\times\2\\\\Or\\7^4 = 7\times7\times7\times7[/tex]

So in this situation,

[tex]4^4 = 4\times4\times4\times4[/tex]

Which = 256