i am new at this. i am confused with this question

if k=3 than 15k    (5 mutiple k) 5*3=45

The value of the expression 15k when the value of k is 3, will be 45.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expression is given below.

⇒ 15k

If the value of the k is 3, then the value of the expression will be

⇒ 15 × 3

⇒ 45

The value of the expression 15k when the value of k is 3, will be 45.

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Answer:

8y^3z

Step-by-step explanation:

8, y^3 and z are common to both expressions.  Thus, the GCF is 8y^3z.

Answer:

c apex im positive

Step-by-step explanation:

Option C of the following is an arithmetic sequence. 3,0,-3,-6 is the correct arithmetic sequence.

A sequence is a collection of items that have been arranged in a logical order, with members appearing either before or after each other. A series is a collection of sequences.

3,0,-3,-6 is the correct arithmetic sequence.

d is the common difference of the series;

3,0,-3,-6

d=0 - 3= - 3 - 0 = -6 - (-3)

d= - 3

An arithmetic sequence has an equal common difference in each progressive term.

Hence, option C of the following is an arithmetic sequence.

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First years flies = 6,692 miles ≈7000 miles.

Second year flies =  16,429 miles ≈ 16000.

Third year flies = 24,211 miles ≈ 24000

Total number of miles flies in first and second year = 7,000miles +16,000 miles

Number of more miles he flew in the third year than the first and second year combined = Number of miles flies in third year - Total number of miles flies in first and second year

Number of more miles he flew in the third year than the first and second year combined 24,000 - (7,000+16,000)

Therefore, 24,000 - (7,000+16,000) estimation of how many more miles he flew in the third year than the first and second year combined.

3(x - 4) + 5x = 9x - 36   Given

(3)(x) + (3)(-4) + 5x = 9x - 36       Distributive Property

3x - 12 + 5x = 9x - 36

(3x + 5x) - 12 = 9x - 36      Combine like terms

8x - 12 = 9x - 36

8x - 8x - 12 = 9x - 8x - 36   Subtraction Property of Equality

0 - 12 = x - 36         Additive Identity Property

-12 = x - 36

-12 + 36 = x - 36 + 36       Addition Property of Equality

24 = x

Answer: Additive Identity Property

Answer:Additive Identity Property

Step-by-step explanation:

Answer: Leticia won the first round

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

Your teacher is basically asking "which value is further from zero on the number line?". The value -19 is 19 units away from zero; while 21 is 21 units away from zero.

See the attached image below. Each "space" is a distance of 1

Absolute value measures distance along the number line. Distance is never negative. In terms of notation, you would say

|-19| = 19 and |21| = 21

The outputs 19 and 21 are then compared. We see that 21 is larger, so therefore, Leticia has the higher score and she won the first round.

This is what I think:

#1: 800 - 50 = 750

#2: 800 divided by 2 = 400 - 50 = $350

i think the dryer costs 450$ and the washer 350$

Answer:

An average reader can read 121.43 words per minute efficiently.

Explanation:

 A speed reader can read 850 efficient words per minute.

 An average reader can read at approximately 1/7 that speed.

 Total word read by an average reader per minute is given = 850* 1/7

                            = 121.43 words per minute

So an average reader can read 121.43 words per minute efficiently.

Answer: n has two distinct prime factors 2 and 3.

Step-by-step explanation:

As given the smallest composite number such that it can be written as the product of two positive integers that differ by 10.

i.e. if first number be x then the other number be x+10 and n=x(x+10), where n must be composite number.

So after putting the values of x by positive integer

1) x=0 then n=0(10+0)=0...which is not a composite number.

2) x=1 then n=1(1+10)=11..... which is not a composite number.

3)x=2 then n=2(2+10)=24......which is a composite number.

so our n=24 and we know that 24=2×2×2×3

Therefore its distinct prime factors are 2 and 3.

Answer:

2

Step-by-step explanation:

Solution:

The smallest pair of numbers that differ by 10 is 1 and 11; however, they multiply to 11 which is not composite. We try the next pair up: 2 and 12, which multiply to 24 which is composite, so [tex]$n=24$[/tex].  [tex]$24$[/tex]  factors as [tex]$2^3 \cdot 3$[/tex], so it has [tex]$\boxed{2}$[/tex] prime factors: 2 and 3.

Hope this helped! :)

Answer:

x+9

Step-by-step explanation:

Synthetic division calc on Mathaway

The quotient is x+9 and the remainder is 0 if the synthetic division problem is 2|1 7 -18.

In the case of dividing by a linear factor, synthetic division is a shorthand, or quicker, technique of polynomial division.

W have:

2 | 1   7   -18

2 | 1   7   -18

__________

     1

2 | 1      7           -18

____2×1 = 2______

     1    7+2 = 9

2 | 1      7             -18

______2___2×9=18___

     1     9   -18+18 = 0

The quotient is x+9, and the remainder is 0.

Thus, the quotient is x+9 and the remainder is 0 if the synthetic division problem is 2|1 7 -18.

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(3y +10) /4 = 2y

Multiply both sides by 4:

4(3y +10) = 4(2y)

12y +40 = 8y

Subtract 40 from each side:

12y = 8y -40

Subtract 8y from each side:

4y = -40

Divide both sides by 4:

y = -40 / 4

y = -10

The answer is A. -10

Answer:

It's true that  [tex]JK \cong MN[/tex]

Step-by-step explanation:

If the lengths of two line segments are equal, then they are said to be congruent to each other.

[tex]JK[/tex] has endpoints as [tex]J(-1, 10)[/tex], [tex]K(-5,2)[/tex] and [tex]MN[/tex] has endpoints as [tex]M(9,-7), N(1,-3)[/tex]

Formula for finding the length of line segment: [tex]\sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2}[/tex] , where [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] are two endpoints.

So, the length of [tex]JK = \sqrt{(-1-(-5))^2+(10-2)^2}= \sqrt{(4)^2+(8)^2}= \sqrt{16+64}= \sqrt{80}[/tex]

and the length of [tex]MN=\sqrt{(9-1)^2+(-7-(-3))^2}= \sqrt{(8)^2+(-4)^2}= \sqrt{64+16}= \sqrt{80}[/tex]

As, the lengths of [tex]JK[/tex] and [tex]MN[/tex] are equal, so we can say that, [tex]JK[/tex] is congruent to [tex]MN[/tex].

To determine if JK is congruent to MN, use the distance formula to find the lengths of the line segments. If the lengths are equal, then the segments are congruent.

To determine if JK is congruent to MN, we need to compare the lengths of these line segments. The formula for finding the length of a line segment with endpoints (x1, y1) and (x2, y2) is the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Since the lengths of JK and MN are equal (sqrt(80) = sqrt(80)), we can conclude that JK is congruent to MN.

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If you divide 7 by 2 it equals 3.5 meaning each game is 3.5 dollars.  So you can find how much any number of games would be by using this equation g (3.5) = c  For example, if there were 3 games then you would do 3 (3.5) = c and the cost would be 10.5 dollars.  

Final answer:

The relationship between the cost and the number of games bowled can be represented by the equation c = 3.5g, where c is the total cost and g is the number of games bowled.

Explanation:

To determine the relationship between the cost (c) and the number of games (g) bowled, we need to find a formula that connects these two quantities based on the information provided. Given that bowling two games costs $7 and bowling four games costs $14, we can see that the cost is directly proportional to the number of games bowled. This means for every game bowled, there is a fixed rate being paid.

Let's break down the information given:

2 games = $7

4 games = $14

From this, we can see that each game costs $3.50 because $7 divided by 2 equals $3.50. Therefore, the relationship between the cost and the number of games can be represented by the equation:

c = 3.5g

Where c represents the total cost and g represents the number of games bowled. This equation can be used to calculate the cost for any number of games bowled.

Remark

There is a 4  year difference between Sal and Carrie. Carrie is the older. She is going to occupy 1 side of the equation. The other side is Sal and the 4 years.

Let Sal = S

Let Carrie = C

Carrie = Sal + 4

Equation

C = S + 4

Answer:

The cost of each computer before finance is:

Desktop: $2900.00,  Laptop: $3200.00

Step-by-step explanation:

Lets say the cost of Desktop is 'D' dollars.

The cost of laptop is [tex]=D+300[/tex] dollars.

Total finance charge for 1 year is given by:

[tex]0.06\times D+0.07 \times (D+300)=398[/tex]

Solving for D we get:

[tex]0.06D+0.07D+21=398[/tex].......(equation 1)

[tex]0.13D=398-21=377[/tex]

[tex]D=\frac{377}{0.13} =2900[/tex]

Now the cost of laptop is D+300:

[tex]D+300=2900+300=3200[/tex]

So before finance, the cost of desktop was $2900.00 and the cost of laptop was $3200.00.

P.S: You can check if your calculation is correct by plugging the values of the cost of laptop and desktop in the equation 1.

Only the second row is equal. The first row can't be equal because it says -2=-1/2

-1 C, that's the only logical answer I can think of. Or does it have to be in F?

The change in temperature is a decrease of 1°C, which is calculated by subtracting the initial temperature from the final temperature.

The question involves calculating the change in temperature from -3°C to -4°C. To find the change in temperature, you subtract the initial temperature from the final temperature. In this case, the change would be:

-4°C - (-3°C) = -4°C + 3°C = -1°C.

So the change in temperature is a decrease of 1°C.

To find the mean you must:

-17 + -14 + -9 + 0 + 12 + 32 + 52 = 56

Then divide 56 by how many numbers are in this set so there are 7 numbers so we divide 56 by 7 and I don't even have to do the work for this because it's basic multiplication.

The answer is: 8.

Answer:

Mean is 8

Step-by-step explanation:

Given observations,

-17,  32,  -9,  0,  52,  12, -14

Sum of the observations =  -17 + 32 + (-9) + 0 + 52 + 12 + (-14)

= 96 - 40

= 56

Number of observations = 7,

Hence,

[tex]\text{Mean} = \frac{\text{Sum of the observations}}{\text{Number of the observations}}[/tex]

[tex]=\frac{56}{7}[/tex]

= 8

[tex]a_n=-6+7n\\\\a_{30}\to \text{substitute n = 30}\\\\a_{30}=-6+(7)(30)=-6+210=214[/tex]

72 ÷ 6 = 12 and 12 × 36 = 432 and 72 × 36 = 2,592 and 2,592 ÷ 6 = 432

the answer is 128 because 51 + 77= 128

The product is 3927.

r = 5

calculate the slope m using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with ( x₁, y₁ ) = (6, - 2 ) and (x₂, y₂ ) = (r, - 6)

m = [tex]\frac{-6+2}{r-6}[/tex] = [tex]\frac{-4}{r-6}[/tex] = 4

cross multiply

4(r - 6 ) = - 4

4r - 24 = 4 ( add 24 to both sides and divide by 4 )

4r = 20

r = [tex]\frac{20}{4}[/tex] = 5

The value of r so that the Slope of a line passes through the points (6,-2) and (r,-6) with a slope of 4 is 7.

In mathematics, the slope of a line through two points can be determined using the formula m = (y2 - y1) / (x2 - x1), where m is the slope, (x1, y1) and (x2, y2) are the coordinates of two points on the line.

In your case, the given points are (6, -2) and (r, -6) and the slope (m) is given to be 4. So, insering these values in the formula, you get: 4 = (-6 - (-2)) / (r - 6).

By simplifying the above equation, we find that r = 7.

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Answer:

Area of square =  64 square units .

Step-by-step explanation:

Given :  length of the side is √8.

To find : Find the area of a square piece of cardboard .

Solution : We have given side length of square cardboard = √8.

Area of square = side * side .

Area of  square = √8 *√8.

Area of square =  64 square units .

Therefore, Area of square =  64 square units .

Because the 2 triangles are similar, find the ratio of 2 known sides.

Side XY = 10

Side AB = 25

25 / 10 = 2.5

This means the larger triangle is 2.5 times larger than the smaller one.

Now find the side of the smaller triangle, that would be the same side as X on the larger triangle and multiply that by 2.5.

XZ is the same side as AC

So X = 6 x 2.5

X = 15

If it were 3:00 precisely then it would be 90 degrees.

The minute hand moves 360 degrees per hour so 5 minutes makes it 30 degrees closer to the hour haned.

The hour hand moves 360 degrees per 12 hours (720 minutes) so 5 minutes make it move 2.5 degrees further from the minute hand.

90 degrees -30 degrees + 2.5 degrees = 62.5 degrees

Answer:

30° angle between the minute and the hour hands, when they show 3:05 PM.

Step-by-step explanation:

Given  : 3:05 PM

To find :  What is the measure of the angle between the minute and the hour hands.

Solution : We have given clock that showing time 3:05 PM

We know that clock make the complete angle that is 360 degree.

We know 1 hour = 60 minute.

So, angle formed by 60 minute  = 360 °.

Angle formed by 1 minute = [tex]\frac{360}{60}[/tex].

Angle formed by 1 minute = 6°.

According to question :

At 3:05 pm

Total minute between minute hand and hour hand is 5.

So. Angle formed by 5 minute = 5 * 6 .

Angle formed by 5 minute = 30° .

Therefore, 30° angle between the minute and the hour hands, when they show 3:05 PM.

The lowest possible value of the house is £205000 and highest possible value is £214999.99...

Given that:

The house is valued £210000, correct to 2 significant figures.

Since its correct to 2 significant figures, thus there is error of approx 10000 range in £210000

The lowest possible number that would round up to 2 significant numbers  to £210000 is £205000 since any value lower than that would look like £204..... which won't round up to £21..... but £20....

Similarly, the highest possible number that would round up to 2 significant figures to £210000 is £214999.999... since any real number bigger than that would make starting digit of the number as £215.... and thus 2 significant figure rounding will lead to £22....

Thus, the lowest possible value of the house is £205000 and highest possible value is £214999.99...

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I would say the best estimate would be 9 because the real answer is 8.71 and if you round that to the 1 place the answer would be 9.

First you want to organize the numbers in order to find the median so it should look like this: 14, 28, 42, 56. Then you want to find the one in the middle. But oh wait there are TWO in the middle so add 42 and 28 up 70 then divide it by 2 which equals your median of 35.

Answer: 56

Step-by-step explanation: Apex

The answer you want would be C.52

Reason: 32+5= 37 that is the 1st and 2nd term. 37+5=42 thatis the 3rd term. 42+5=47 that's the 4th term. And 47+5=52 that's the 5th term.

Hope it helps!!