Simplify this expression:
2x? - 5xy - 6+ 4x2 – 3xy +1-xły
O 6x? - 9xy - 5
O 5x2 – 8xy-5-y
O 6x2 - 8xy-5-xy
O 6x² + 2xy-by-xy

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)

it’s letter B. your welcomeeee

Answer:

y = 3/2x -5

y= 3/2x -7

Step-by-step explanation:

since the two lines are parallel (never touch) they have the same slope, so find the slope of one of the lines (rise over run). Then, to find the y-intercept for the equations, simply look at where each of the lines cross the y-axis.

~lmk if u got Qs

Inequality shows a relationship between two numbers or two expressions.

The inequality that represents that plan A is cheaper than plan B is

4x < 12 + 2x

x < 6

Plan A is cheaper only when the visit is less than 6.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

Example:

2 < 3

2x < 6

3 > 2

3x > 5

We have,

Two Plans:

Plan A:

$4 per visit.

Plan B:

An initial $12 fee, then $2 per visit.

Plan A is cheaper than plan B.

The Inequality that represents this situation.

x = number of visits.

Plan A < Plan B

4x < 12 + 2x

4x - 2x < 12

2x < 12

x < 6

We can cross-check:

For 5 visits.

Plan A = 4x5 = $20

Plan B = 12 + 2x5 = 12 + 10 = $22

Plan A is cheaper than Plan B

For 6 visits,

Plan A = 4x6 = $24

Plan B = 12 + 2x6 = 12 + 12 = $24

Plan A is equal to Plan B

Thus,

The inequality that represents that plan A is cheaper than plan B is

4x < 12 + 2x

x < 6

Plan A is cheaper only when the visit is less than 6.

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The probability that the sum of the numbers on the dice will be a square number is 1/6.

The area of mathematics known as probability explores potential outcomes of events as well as their relative probabilities and distributions.

We can first make a list of every conceivable result when rolling two dice in order to determine the likelihood that the sum of the numbers on the two dice will be a square number:

\((1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6\))

\((2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)\)

\((3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)\)

\((4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)\)

\((5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)\)

\((6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\)

The sums can then be listed, and the square numbers can be identified:

2, 3, 4, 5, 6, 7

3, 4, 5, 6, 7, 8

4, 5, 6, 7, 8, 9

5, 6, 7, 8, 9, 10

6, 7, 8, 9, 10, 11

7, 8, 9, 10, 11, 12

The likelihood that the sum of the numbers on the dice will be a square number is 6 out of a total of 36 potential outcomes.

P(square sum) = 6/36 = 1/6.

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Answer:

Step-by-step explanation:

Regs.

Spinner A and Spinner B below are each to be spun once.

0 18

O 12

6

Spinner A

5

2

4

00

Answer:

Step-by-step explanation:

Answer: the sum of one interior angle and one exterior angle is 180. x+120=180. x=180-120. x=60°. sum of angles in a triangle is 180.

Answer:

x+6<20

x<14

Step-by-step explanation:

Answer:

20-6+x

Step-by-step explanation:

you would add six and x and then subtract it from twenty becouse less than means to subract

Answer:

8 ounces has = 2661.81685milligrams vitamin C in apple juice = 2.66181685 grams and 8 ounces has = 3549.60145milligrams vitamin C in orange juice =3.54960145 grams

Step-by-step explanation:                                                                    28.3495231 g = 1 ounce   28349.5231 mg  = 1 ounce   Therefore simultaneous equations can be done once converted  What we will see is it is easier if back to ounces once you learn how to do scientific notation scientific notation convert as 1 ounce =  0.00632462mg = (6.32462 *10^-3) So if you are not confident with scientific notation you can instead convert an ounce of juice to mg and multiply by 1/8 = 28349.5231  * 1/8 = 3543.69039 a    and   3543.69039 o to start a simultaneous equation  3543.69039 a  + 3543.69039 o = 179.3  and  4/8 = 4 *  3543.69039  = 14174.7616o (  + 3543.69039 * 3  (of 3/8) ) =10631.0712a    =  14174.7616o + 10631.0712a = 632.1   to cancel out 10631.0712a we have to make a = a  or o=o  Therefore 3543.69039 = o  3543.69039 * 4 will make all equal for equation 1    = 14174.7616a +14174.7616o = 179.3 *4 = 717.2  then subtract equation 2 as it is lower now  14174.7616a +14174.7616o = 179.3 *4 = 717.2  -   14174.7616a + 10631.0712o = 632.1    cancels out ( a) now to show 14174.7616o = 717.2  - 10631.0712o = 632.1  = 14174.7616 - 10631.0712=  (3543.6904o  = (717.2 -632.1) )  =  3543.6904o = 85.1 o = 3543.6904/85.1  o = 41.6414853milligrams   and a = input for o   showing original equation    14174.7616 (41.6414853) + 10631.0712a = 632.1  = 590258.127 + 10631.0712a  = 632.1  = 10631.0712a  = (632.1 - 590258.127) = a = -589626.027/ 10631.0712 = -55.4625226   a= - 55.6 and o =41.6 we then Check other SEQ  3543.69039 ( 41.6414853) (For apple juice (a))  + 3543.69039 o = 179.3   = 147564.531 a + 3543.69039 o = 179.3   = 3543.69039 o = 179.3 - 147564.531 (/3543.69039) = o = -41.5908882 so proves all is positive    Check other SEQ  3543.69039 + 3543.69039 ( 41.6414853) = 179.3 is the same and correct to o= 41.5908882 and a =55.4625226   we just multiply these by 8 and 8 again to get 8 ounces  41.5908882 * 8 =332.727106* 8 =2661.81685  (same as (a*64)  and o*8*8 = 55.4625226 * 8 =443.700181 * 8 =3549.60145 and we have our answer s   vitamin C in apple juice = 2661.81685milligrams  = 2.66181685 g and vitamin C in orange juice = =3549.60145milligrams = 3.54960145g

Answer:

y ÷ 4 - 3

Step-by-step explanation:

Since it asks for the quotient of y and 4, quotient indicates that it is division, so those two are going to be divided. It also says 3 less than. Less than means subtraction.

Answer:

A

Step-by-step explanation:

(12 ÷ ( 7 . 4 − 3 . 6 ) + 8 − 2)

Follow the order of operations, the first thing to do would be the parenthesis.

7.4 - 3.6 = 3.8

So, your answer would be A, Subtract 7 . 4 − 3 . 6.

Have a wonderful day!

Answer:

A hope you get it right

(☞ﾟヮﾟ)☞     ¯\_(ツ)_/¯

First, we can see in the alternatives that the base of the logarithm is not changed, so we don't need to bother with that.

Now, a multiplication inside a logarithm has the following property:

Applying that to the given expression, we have:

Now, we can rewrite the root in the radical form:

To get:

We did that so we can use the following property:

Let's do that:

And that is the answer.

The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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Answer:

Yess

Step-by-step explanation:

If you multiply all the numbers together you get 39690000. And the square root of that number is 6300. So it is a perfect square. If you did 6300² = 39690000.

Answer:

-78/30 or -2 3/5

Step-by-step explanation:

4 1/6 - 3 3/5

25/6 - 18/5

30-108\30

= -78/30 or -2 3/5

Answer:

4 1

6

–

3 3

5

=

17

30

Step-by-step explanation:

4 1

6

–

3 3

5

=  (4 – 3) + (

1

6

–

3

5

)

=  1 +

1 × 5

6 × 5

–

3 × 6

5 × 6

=  1 +

5

30

–

18

30

=  1 +

5 – 18

30

=  1 +

-13

30

=  

17

30

Answer:

18

Step-by-step explanation:

Answer:

If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.

Step-by-step explanation:

That's how you can prove which side is bigger

Answer:

(48, 3), (80, 5), (160, 10)

We will have the following:

The extra information that would make triangle POM congruent with triangle NLQ is:

This is the information that would proce that the triangles are congruent.

Answer:

10.86.

Step-by-step explanation:

the moveing ment

We can see that there are a total of 3 games that fall into the 51-57 category (games 1, 5, and 8). Therefore, the answer to the question is D. 3 games were in the 51-57 category. The correct option is D.

To solve this problem, we need to first determine which category each game falls into based on the given categories.
Game 1: 51 points - falls into the 51-57 category
Game 2: 70 points - falls into the 72 or more category
Game 3: 63 points - falls into the 58-64 category
Game 4: 59 points - falls into the 58-64 category
Game 5: 56 points - falls into the 51-57 category
Game 6: 75 points - falls into the 72 or more category
Game 7: 60 points - falls into the 58-64 category
Game 8: 55 points - falls into the 51-57 category
Game 9: 67 points - falls into the 65-71 category
Game 10: 64 points - falls into the 58-64 category
Now, we can see that there are a total of 3 games that fall into the 51-57 category (games 1, 5, and 8). Therefore, the answer to the question is D. 3 games were in the 51-57 category.
It's important to note that categorizing the data in this way is helpful for analyzing trends and patterns in the team's scoring over time, but it does not provide a complete picture of the team's performance in each game.

It's also worth considering other factors such as the team's opponents, the location of the game, and any injuries or other circumstances that may have affected the outcome.

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The rate of change of the circumference is 8π feet per second

Given data ,

The circumference of a circle is given by C = 2πr, where r is the radius. We need to find how fast the circumference is changing when the radius is 19 feet and the rate of increase of the radius is 4 feet per second.

We can start by taking the derivative of both sides of the equation C = 2πr with respect to time t:

dC/dt = 2π(dr/dt)

Here, dC/dt represents the rate of change of the circumference with respect to time, and dr/dt represents the rate of change of the radius with respect to time.

We are given that dr/dt = 4 feet per second, so we can substitute this value into the equation above:

dC/dt = 2π(4) = 8π

So when the radius is 19 feet, the circumference is C = 2π(19) = 38π feet. At this point, the rate of change of the circumference is dC/dt = 8π feet per second.

Hence , when the radius is 19 feet, the circumference is increasing at a rate of 8π feet per second

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You know how many miles Kelly walked in 1/10 hour. To find the speed in miles per hour you have to find how much she'll walk in 1 hour:

The average speed is 2.5 mi/h

Answer:

$283.2

Step-by-step explanation:

Area of the order = Length * Width

7.02×10^3 = 1.17×10^2 * Width

7020 = 117W

W = 7020/117

W = 60feet

The perimeter of the border = 2(L+W

P = 2(117+60)

P = 2 * 177

P = 354 feet

If a border cost $0.80 per foot, 354 feet long border will cost 0.80 * 354 = $283.2

Answer:

Step-by-step explanation:

2x + y = 2

Substitute -2x-1 for the y:

2x + (-2x-1) = 2

-1 = 2, a contradiction, so there is no solution. The lines do not intersect.