Which of the following is the product of the rational expressions shown below? 3/x+2 ⋅ 7/2x

Answer:

alternate exterior angles

Step-by-step explanation:

so are 2 & 8

Answer:

a and b

Step-by-step explanation:

............. ...... ..

Answer:

The answer is B

Step-by-step explanation:

[tex]\frac{x}{4}=16\\\mathrm{Multiply\:both\:sides\:by\:}4\\\frac{4x}{4}=16\cdot \:4\\\mathrm{Simplify}\\x=64[/tex]

Answer:

10 miles

Step-by-step explanation:

Given: Bike goes 8 miles south and then 6 miles east

To find: distance between the final point and the starting point

Solution:

Pythagoras Theorem

In a right angled triangle, square of hypotenuse is equal to the sum of squares of the two sides.

In ΔOAB,

[tex]OB^2=OA^2+AB^2[/tex]

Put [tex]OA=8\,,\,AB=6[/tex]

[tex]OB^2=8^2+6^2=64+36=100[/tex]

Take square root on both sides.

[tex]OB=\sqrt{100}=10\,\,miles[/tex]

So, distance between the final point and the starting point is 10 miles

Answer:

10 miles

Step-by-step explanation:

Answer: Option D: R = {3, 9, 12}

Step-by-step explanation:

The range of a function is the set of the possible outputs of a function:

if we have the function f(x) = y, the values of x are the domain, and the values of y are the range.

In the image, the set at the right is the output, so the set in the right is the range.

such that we have the pairs (-2,3) (2, 3) (3, 9) (4, 12)

So the range will be R = {3, 9, 12}

Answer:

D

Step-by-step explanation:

cannot be determined without side lengths

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

[tex]1/3(2x-8)=4[/tex]

[tex]2/3x-8/3=4[/tex]

[tex]2/3x=4+8/3[/tex]

[tex]2/3x=20/3[/tex]

[tex]x=20/3 \times3/2[/tex]

[tex]x=60/6[/tex]

[tex]x=10[/tex]

Answer:

10

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer: yes 3/5 equal to 60/100

Step-by-step explanation:

The answer is it is because if you do

5 times 20 its 100

and 3 times 20 is 60

so what you do to the bottom you do to the top

so the answer is yes 3/5 equal to 60/100

Hope this helps :)

Answer:

Yes

Step-by-step explanation:

[tex]\frac{3}{5} and \frac{60}{100}[/tex] are equivalent fractions. Equivalent fractions are fractions that have the same value of decimal. so when you simplify 60/100 you will definitely get 3/5. And both of their's decimal is equal which is 0.6.

Answer:

50j

Step-by-step explanation:

workdone = force x distance

workdone = 20x2.5

50j

Answer:

-7

Step-by-step explanation:

The equation is simplified so there are two possible answers here, -4 and -7

There is a root where y = 0 and x = a number

At -4 and -7 y = 0

However at -4 the function bounces since the (x+4) is raised to the 6th power.

When you have an even power, the function bounces at the x-axis, and when you have an odd power the function goes through the x-axis.

Since you can only choose one answer, the logical answer would be -7.

At x = -7, y = 0 and the function crosses the x-axis.

At x = -4, y = 0 but the function bounces on the x-axis.

The logical answer here is -7.

The graph crosses the x-axis at x = -7

The roots of a function are the zeros of the function

The function of the graph is given as:

[tex]f(x) =(x+4)^6(x+7)^5[/tex]

In the above equation, the roots of the functions and their corresponding multiplicities are:

The graph will cross the x-axis, when the multiplicity is odd

The root, -7 has an odd multiplicity.

Hence, the graph crosses the x-axis at x = -7

Read more about roots and multiplicities at:

https://brainly.com/question/2833285

Answer:

10 & 4

Step-by-step explanation:

Let the numbers are a and b.

Their average = 7

= > ( a + b ) / 2 = 7

= > a + b = 2 * 7 = 14 ...( 1 )

Also,

= > 3 times of difference between a and b = 18

= > 3( a - b ) = 18

= > a - b = 6 ... ( 2 )

adding ( 1 ) & ( 2 ) :

= > ( a + b ) + ( a - b ) = 14 + 6

= > 2a = 20

= > a = 10

Thus,

= > a + b = 14 → 10 + b = 14

= > b = 14 - 10 = 4

Answer:

y = 5x+18

Step-by-step explanation:

y - 3 = 5(x + 3)

Distribute

y -3 = 5x+15

Add 3 to each side

y - 3+3 = 5x + 15 +3

y = 5x+18

This is slope intercept form (y = mx+b) where m is the slope and b is the y intercept

Answer:

9:29 PM

Step-by-step explanation:

Let us add the number of minutes the first act, interval and second act lasted:

46 + 20 + 53 = 119 minutes

Converting this to hours and minutes:

60 minutes = 1 hour

119 minutes = 1 hour 59 minutes

Therefore, the time that the second act ends is:

  H       M

  7   :   30 PM

+ 1    :  59  

  9   :   29

The second act will end by 9:29 PM

Answer:

Step-by-step explanation:

Let x be the random variable representing the mean weight of Adult Golden Retrievers. Assuming the weights are normally distributed(number of samples is greater than 30), we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

n = number of samples

From the information given,

µ = 64

σ = 8

n = 35

the probability that the sample mean will be less than 65.5 pounds is expressed as

P(x < 65.5)

For x = 65.5,

z = (65.5 - 64)/(8/√35) = 1.11

Looking at the normal distribution table, the probability corresponding to the z score is 0.8665

Therefore, the probability that the sample mean will be less than 65.5 pounds is 0.8665

Answer:

The ratio is 29:30

Step-by-step explanation:

First, we need to calculate the mass of sugar in the mix

That would be 100-41-29 = 100-70 = 30g

So the ratio of blackberry to sugar would be mass of the blackberry : mass of sugar

From the question, mass of blackberry = 29g while the mass of sugar = 30g

Mass of blackberry to mass of sugar = 29:30

Answer:

The variable, the number of golf balls, is modeled by an orange x tile.

Finding 8 more golf balls is modeled by 8 orange + tiles.

The expression that represents the situation is x + 8.

Answer:

x-1 tile

Step-by-step explanation: trust me

Answer:

Piano, guitars, drum set, and voices

Step-by-step explanation:

Answer: 37.68 feet.

Step-by-step explanation:

To find the diameter of a circle, use the equation:

C = 2 * pi * r, where r is the radius of the circle.

The diameter is 12 feet, and the radius is 6 feet.

C = 12 * pi

C = 37.68 feet.

Answer:

2m +n​

Step-by-step explanation:

3m + 2n - (m + n)​

Distribute the minus sign

3m + 2n - m - n

Combine like terms

3m -m   +2n -n

2m +n​

Answer:

1/455

Step-by-step explanation:

place 222 over 101010 and divide

Answer:

1/45

Step-by-step explanation:

Step-by-step explanation

Answer:

The exponential function is that of decay

The percentage decrease is by 3%

Step-by-step explanation:

The exponential equation we are considering is;

y = 550(0.97)^x

Now to know if it’s decay or growth, we shall be considering what we have in the bracket

Mathematically, we can express 0.97 as follows

0.97 = 1-0.03

So what does this means? There is a decrease in subsequent values from one value of y to another.

This means that the equation is for decay as what the term raised to an exponent is less than 1.

Now we want to determine the percentage rate of increase or decrease

What we need to do is to represent the 0.03 difference in fraction

That would be 3/100

So this means that the percentage decrease is by 3%

Answer:

13.6

Step-by-step explanation:

The measure of the segment AQ is related to the measure of the segment A'Q by the dilation factor as follows:

dilation factor = A'Q/AQ

AQ = A'Q/dilation factor

Replacing with data:

AQ = 2.4/0.15 = 16

Then, the distance between points A and A' is

x = 16 - 2.4 = 13.6

Answer:

Joel rolls two fair number cubes at the same time.

Each cube has six sides 1, 2, 3, 4, 5, 6

=> There are 6 x 6 = 36 possible pairs (or 36 possible sums)

The collection of pairs that have sum less than 4 includes (1, 2), (2, 1) and (1, 1) => 3 cases (*)

The sum that is odd when two cubes show one odd number and one even number. Therefore each side of first cube has 3 options from second cube to form an odd sum. => The total number of cases: 6 x 3 = 18  cases

In these 18 cases, there are two cases (1, 2) and (2, 1) which have been counted already at (*) => Total case that the sum of the numbers will be odd or less than 4: T = 3 + 18 - 2 = 19 cases

=> Probability that the sum of the numbers will be odd or less than 4:

P = 19/36 = 0.53

Hope this helps!

:)

the answer is 94 bears reponded and 92 did not II thnk

Answer:

The answer to your question is the first option.

Step-by-step explanation:

Answer:

XY = 7.3

Step-by-step explanation:

             ?                        5.2

X ------------------------Y---------------Z

|<----------------12.5------------------->|

XZ = 12.5

YZ = 5.2

XY + 5.2 = 12.5

XY = 12.5 - 5.2

XY = 7.3

Answer:The triangle is dilated by a factor of 1/2

Step-by-step explanation:

Answer:

a scale factor of 2

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

It takes 6 hours to reach -18°C. Therefore, option A is the correct answer.

Given that, the temperature at noon=-3°C, every hour temperature decreased by -2.5°C.

Multiplying Decimals has the same procedure as that of multiplication of the whole numbers, except for the placement of the decimal point in the product.

Now, every hour temperature decreases by -2.5°C, we need to find how many hours it takes to -18°C.

So,  -2.5×6=-15°C

Then, final temperature=initial temperature+increased temperature.

=-3°C+(-15°C)=-18°C

Therefore, option A is the correct answer.

To learn more about the integers visit:

https://brainly.com/question/15276410.

#SPJ5

Answer:

20+r +r = 256

Step-by-step explanation:

Let r = rabbits

c = chickens

c = 20 +r  since there are 20 more chickens than rabbits

Together there are 256

c+r = 256

Replacing c with 20+r

20+r +r = 256