a rectangular window frame has demotions expressed by 3x and (2x -5). find a simplified expression for its perimeter and determine the actual perimeter if x equals 3meteres

Answer:

q = [tex]\frac{7}{5}[/tex]p + 7

Step-by-step explanation:

7p -5q = -35  Subtract 7p from both sides of the equation

-5q = -7p - 35  /Dive all the way through by -5

q = [tex]\frac{7}{5}[/tex]p + 7

It takes Tom 90 minutes to reach at the work.

Given,

Total time taken by paul = 45 minutes

Time taken by tom = x

According to the question,

the equation will be -

45 = (1/3)x + 15

On solving,

45 - 15 = (1/3)x

30 = (1/3)x

x = 90 minutes

So, it takes, tom 90 minutes to reach

An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

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The solution set for the inequality expression is (-∞, -6)

Inequality are expressions that does not involve an equality sign.

Given the following parameters

-3x + 3 > -21

Subtract 3 from both sides

-3x + 3 - 3 > 21 - 3

-3x > 18

Divide both sides by -3

-3x/-3 < 18/-3

x < -6

Hence the solution set for the inequality expression is (-∞, -6)

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Step-by-step explanation:

(B) 12 Inches is the answer because perimeter (P) =4l =4×3=12

(a) Larry took ( 1/3 ) of the sweets in the box.

(b) There were a total of 72 sweets in the box.

(c) The fraction of sweets taken by Keith and Joe are ( 288/9) and ( 144/9 ) respectively.

Keith, Larry, and Joe shared a box of sweets.

Let the total number of sweets be y.

Now, Joe took ( 2/9) of the sweets.

Therefore, the number of sweets Joe took = ( 2/9 )y

Now, Keith took twice as many sweets as Joe.

Therefore, the number of sweets Keith took = 2 × ( 2/9 )y = (4/9) y

Then, the number of sweets Larry too k will be:

= y - ( 2/9 )y - (4/9) y

(a) Then the fraction of sweets Larry took is:

= y - ( 2/9 )y - (4/9) y

= y - [ ( 2 + 4) / 9 ] y

= y - ( 6 / 9 )y

= y - ( 2/3)y

= [ ( 3 - 2 )/3 ]y

= ( 1/3 )y

(b) If Larry took 24 sweets less than the total number of sweets taken by Joe and Keith.

Then,

the number of sweets Keith took + the number of sweets Joe took - 24 = ( 1/3 )y

( 4/9 )y + ( 2/9)y - 24 = ( 1/3 )y

( 6/9 )y - 24 = ( 1/3 )y

( 6/9)y - ( 1/3 )y = 24

[ ( 6 - 3) / 9 ]y = 24

( 3/9 )y = 24

( 1/3)y = 24

y = 24 × 3

y = 72

There were 72 sweets in the box.

(c) The number of sweets Keith took

= (4/9) y

= ( 4/9 ) × 72

= ( 288/9 )

The number of sweets taken by Joe is:

= ( 2/9 )y

= ( 2/9) × 72

= ( 144/9 )

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Answer: It is linear.

Step-by-step explanation: A linear function must have a degree of 0 or 1. In this case, the slope is 0 but the degree is still 1. 5^1 = 5. So it is linear

Answer:no

Step-by-step explanation: In order for a linear function to be true it has to include a slope intercept

Answer:(1/2, 7) as decimal = (0.5, 7)

Step-by-step explanation:

===================================================

Explanation:

The x coordinates are 3 and -2

The x coordinate of the midpoint is 0.5

--------------

The steps are the same idea for the y coordinates

The y coordinate of the midpoint is 7

--------------

Overall, the midpoint is located at (0.5, 7)

You can confirm this by letting

A = (3,8)

B = (0.5, 7)

C = (-2,6)

Then use the distance formula to see that AB = BC

The statistical measures for the 10-day vacation are given as follows:

a) Mean: $2470.

b) Standard deviation: $189.74.

c) Variance: $²36,001.

To find the mean for n days, we take the mean amount for the distribution in a single day and multiply by n.

Hence, considering that the mean for a single day is of $247:

247 x 10 = $2470.

To find the standard deviation for n days, we take the standard deviation for a single day and multiply by the square root n.

Hence, considering that the standard deviation for a single day is of $60, we have that:

60 x sqrt(10) = $189.74.

For any distribution, the variance is the square of the standard deviation, hence:

($189.74)² = $²36,001.

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Answer:

1199693701

Step-by-step explanation:

URANUS IS 306299

SATURN IS 1200000000

1200000000-306299=1199693701

The prime factors in ascending order are 2,7.

Given that, 56 is a number that is needed to be expressed as the product of prime numbers that is prime factors.

prime number is defined as , if a number is divided by only one and itself then it is named as a prime number.

prime factor is defined as , if a number can be represented in terms of multiplication  of the prime numbers is known as the prime factor.

prime numbers are 2,3,5,7,11,13,17,1923,29,31,37..etc.

expressing 56 in terms of prime factors.

As 56 is an even number, you can just express this in smallest prime number that is 2 .

firstly you can express 56 in product of 23 and 2.

you can not divide  again 23 as it was prime number.

so , you can express 56 as 23*2 or you may access this as 2*2*2*7

Prime factors in ascending order are , 2,7 or 2,23.

As we choose least prime factors we prefer 56 = 2*2*2*7.

Therefore ascending order of prime factors will be 2,7.

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The unit rate of the watermelons would tell us the cost of 1 of the watermelon. The last option is correct.

The question tells us that the melons are sold for 5 for $20.

Hence the price of 1 would be at: 20/5

= 4 dollars per watermelon.

The weight of one of the melons is 8 pounds and the unit rate for 1 is 4 dollars. The unit rate is the price per one of the fruits or the cost of the fruit.

Hence we can say that The unit rate of the watermelons would tell us the cost of 1 of the watermelon.

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Answer:

Step-by-step explanation.

The values of p and q are -2 and -3 respectively. Hence, (d) is the answer.

Given that:-

The slope of the function on the left is multiplied by p, and q is added to the y-intercept to arrive at the function on the right.

We have to find the values of p and q.

Points of the graph on the left are (-2,0) and (0,1)

Slope of the graph on the left = (1 - 0)/(0 - (-2)) = 1/2

y-intercept of the graph on the left = 1

Hence, the slope intercept form of the graph on the left is :-

y = (1/2)x + 1

Hence, according to the data given in the question, the slope-intercept form of the line on the left is y = (p/2)x + (q + 1)

Also,

Points of the graph on the right are (-2,0) and (0,-2)

Slope of the graph on the right = (-2 - 0)/(0 - (-2)) = -2/2 = -1

y-intercept of the graph on the right = -2

Hence,

Hence, the slope intercept form of the graph on the right is :-

y = -1x -2

Hence,

p/2 =  -1

p = -2

and,

q + 1 = -2

q = -3

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The participants' most ethical option would have been to let the computer assign the two assignments at random.

A highly transferable skill set that is highly valued in a range of employment routes is analytical and critical reasoning. No matter their field, the most prevalent quality of effective researchers is their ability to think critically and analytically. This skill enables you, whether you're a graduate student or a working person, to efficiently move through the various stages of the research process, including gathering and synthesizing data, assessing conflicting evidence, formulating questions and testing hypotheses, and interpreting and reflecting on your own findings in relation to other studies. In fields that depend on complex decision-making, like healthcare, where errors in judgment can have serious repercussions, it is crucial to develop analytical and critical thinking abilities to lessen biased practices.

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If the triangle is acute, the possible value for the area of the square on the remaining side is 81 inch².

For the triangle to be acute, then the area of both the smaller squares need to be able to be larger than the area of the longer side square when added.

This means that if the triangle is acute, the minimum area of the smaller side is:

= 100 - 36 + 1

= 65 inch²

Of the options, the only area larger than 65 inch² is 81 inch².

Options for this question include:

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Answer:

Plug in the numbers to the variables

Step-by-step explanation:

Im not giving ya'll the straight answer because I use it all the time in almost all of my math.

Because you have the value of the variables, all you need to do is plug those variables in and the solve like you usually would (PEMDAS)

Hope this helps and ya'll got this! ;)

The solution set to the inequality is m>2.The correct ray to represent the solution is o---> placed at 2.

Inequality is a statement of order,greater than, less than, greater than or equal to or less than or equal to between two algebraic expression. Inorder to solve an inequality we change the sides of the unknown variable and the constants. We always have to keep in mind the change of sign, if we change sign then we have to change the relation between the two expressions too. Here we have been given an inequality which is

m-7>-2(m+0.5)

In this inequality m is the unknown variable and we have to solve for m,

m-7>-2(m+0.5)

⇒m-7>-2m-1

⇒2m+m>7-1

⇒3m>6

⇒m>2

The solution set to the given inequality is m>2, so the correct ray to represent the solution is o---> placed at 2 on the number line.

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The measure of length TU is 4 units

See attachment for the image of the line

The given parameters are

Line TV = 19 units

Line UV = 15 units

From the question, we understand that the point U is on line TV

This means that

The measure of length TU is calculated as

TU = TV + UV

This gives

TU = 19 - 15

Evaluate the like terms

TU = 4

Hence, the measure of length TU is 4 units

See attachment for the image of the line

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Answer:

27%

Step-by-step explanation:

3000 + 3500 + 4000 + 4200 = 14700

4000 / 14700 ≈ 0.27

0.27 = 27%

The points does he need to score in the last game to have an average of 25 PPG is 33 points

Given that

To find

So, according to the question

We have,

        ∵ [tex]average = \frac{sum\;of\;terms}{number\;of\;terms}[/tex]

        ∴ Total points gained by Larry in 4 games

                         = (average points in 4 games) × 4

                         =  23 × 4

                         =  92 points.

Let's assume Larry scored x points in the 5th match to have an average of 25 PPG.

So, we can say that

        Larry's average in 5 games = [tex]\frac{total\;points\; in\; 5\;games}{5}[/tex]

                                                 25 = [tex]\frac{92+x}{5}[/tex]

                                           25 × 5 = 92 + x

                                                125 = 92 + x

                                                    x = 125 - 92

                                                    x = 33.

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Multiply 5 by 25 to find the total points Larry needs to score in 5 games, 5 × 25 = 125. Then find the total points Larry scored in the frist 4 games, 4 × 23 = 92. Subtract to find the number of points Larry needs to score

took the quiz

Answer:

x = -3

Hope this helps

Step-by-step explanation:

( (2x*3) + (18*3) ) = 36

(6x + 54) = 36

6x + 54 = 36

6x + 54 - 54 = 36 - 54

6x = -18

6x / 6 = -18 / 6

x = -3

Answer:

It depends on the steepness of the climb

Step-by-step explanation:

We can reduce the rate of refusals in telephone surveys by doing face to face surveys.

A phone study can keep going extremely lengthy, which brings about getting legitimate reactions and knowledge of the respondent's perspective which helps

social event a lot of information. Time limits are a disadvantage of telephone interview studies. Frequently, when you contact individuals at home, they are engaged with different exercises, like having supper or sitting in front of the TV. A few potential interviewees may be hesitant to partake in a meeting because of how much time they dread it will take. Examination can be assembled rapidly in light of the fact that telephone interviews are prompt and gifted questioners can finish a great deal of overviews in a day of work. A great many people have phones, so you have an adequate crowd for get-together a delegate test to finish the study.

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Your question was incomplete. Please refer the content below:

Based on your computations from part I of this exercise, determine which one of the following rules holds for matrices. select all that applies. group of answer choices:

a) A( B + C ) = AB + AC

b) A( B + C ) = BA + CA

c) (A + B)² = A² + 2 AB + B²

d) (AB)² = A²B²

e) (A - B)( A + B ) = A² - B²

The option that is correct is option (a) A( B + C ) = AB + AC.

We know that distributive property holds for all the matrices.

So, we get that:

A( B + C ) = AB + AC

We also know that commutative property does not hold for matrices.

So, we get that:

A( B + C ) = AB + AC ≠ BA + CA

A( B + C ) ≠ BA + CA

(A + B)² = A² + BA + AB + B²

(A + B)² ≠ A² + 2 AB + B² (as AB ≠ BA)

(AB)² = ABAB ≠ A²B²

(A - B)( A + B ) = A² - BA + AB + B² ≠ A² - B²

Therefore, we get that only option (a) A( B + C ) = AB + AC is the correct option.

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Answer:

11: Area as sum: 7d + 28

Area as product 7(d+4)

12: Area as sum: 2y + 3y   (could also be y^2 + 3y)

Area as product: y(y+3)

Step-by-step explanation:

For area as sum it's just distributing to each box, and then adding.

For area as product you just undistribute it and put it into parenthesis.

The last digit of the product of numbers from 0 to 99 is 0.

Multiplication is a method of finding the product of two or more numbers.

We have,

1, 2, 3, .............till 99.

We know that any number multiplied by 10 will give us 0 as the last digit.

And there are 10, 20, 30, 40, 50, 60, 70, 80, and 90.

We also know that 5, 15, 25, 35, 45, 65, 75, 85, 95 if multiplied with an even number the last digit is zero.

So if all the numbers from 1 to 99 are multiplied together, the last digit of the product will be a zero.

Thus the last digit of the product of numbers from 0 to 99 is 0.

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k = 3

So if your looking at the test I think your looking at, C.