Substitute and evaluate: x = 8, y = 6, m = 3, p = -1 , n = 1


4x – 2m6. 5y + 8p

Step-by-step explanation:

General equation for directly proportional variables: y = kx, where k is a real constant

When x = 8, y = 26.

Hence y = 26/8 x or y = 13/4 x.

The equation will be ; y = [tex]\frac{26}{8}[/tex] × x .

It is given that y varies directly with x and y = 26 when x = 8.

We have to find out an equation that represents this relationship.

What will be the 8 times of a number x ?

The number will 8 x.

The direct variation relationship equation will be ;

y = k × x

where ; k = a constant

Given ;

at x = 8 ; y = 26

so the value of k = 26 / 8

and the required equation will be ;

y = ([tex]\frac{26}{8}[/tex]) × x

Thus , the equation will be ; y = [tex]\frac{26}{8}[/tex] × x .

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Step-by-step explanation:

Notice that 1km = 1000m = 100000cm.

Therefore 21.7km = 2170000cm.

Answer:

2170000 cm

Step-by-step explanation:

21.7 k/m × 10³ × 10²

Answer:

8p

Step-by-step explanation:

Multiply 8 and p.

Answer:

There are 20 cupcakes covered with sprinkles.

Step-by-step explanation:

To find the amount of cupcakes that are covered with sprinkles you would have to subtract the amount of cupcakes covered with peanuts, the ones covered with chocolate chips and the ones covered with coconut from the total amount of cupcakes:

Total amount of cupcakes=120

cupcakes covered with peanuts=1/5*120=24

cupcakes covered with chocolate chips=1/3*120=40

cupcakes covered with coconut=36

Now, you can subtract the different cupcakes from the total amount to find the quantity left that would be the ones covered with sprinkles:

cupcakes covered with sprinkles=120-24-40-36

cupcakes covered with sprinkles=20

According to this, the answer is that there are 20 cupcakes covered with sprinkles.

Answer:

Step-by-step explanation:

AB + BC = AC

4x + 10 + 2x + 3 = 9x - 15

6x + 13 = 9x - 15

6x + 13 + 15 = 9x

6x + 28 = 9x  

3x = 28

x = 9 1/3 = 28/3

AC = 9 * 28/3 - 15

AC = 3 * 28 - 15

AC = 84 - 15

AC = 69

The absolute value of any number is that number as a positive one.

Absolute value of -1/2 is 1/2

Answer: it would be: y - 15

as an expression

Answer:

y-15

Step-by-step explanation:

Here it means we are removing 15 from y

Answer:

Savannah's age = 6 years

Step-by-step explanation:

Let

Savannah's age = x

Dylan's age = 15

Dylan is 15, which is 3 years older than twice his sister Savannah’s age

Dylan = 2x + 3

Find Savannah's age

2x + 3 = 15

Subtract 3 from both sides

2x + 3 - 3 = 15 - 3

2x = 12

Divide both sides by 2

2x / 2 = 12 / 2

x = 6

Therefore,

Savannah's age = x

= 6 years

Dylan's age = 2x +3

= 2*6 + 3

= 12 + 3

= 15 years

Answer:

h(x) = 10y/2

Step-by-step explanation:

6x + y = 4x + 11y

6x - 4x = 11y - y

2x = 10y

divide both side by 2

x = 10y/2

h(x) = 10y/2

Answer:

The hikers A and B travel at rates of 1.1 miles per hour and 3.3 miles per hour, respectively.

Step-by-step explanation:

Let suppose that each hiker travels at constant speed, such that kinematic formulas are, respectively:

Hiker A

[tex]x_{A} = x_{A,o}+v_{A}\cdot t[/tex]

Hiker B

[tex]x_{B} = x_{B,o} +v_{B}\cdot t[/tex]

Relationship

[tex]v_{A} =- v_{B}-2.2\,mph[/tex] (They walk toward each other)

Where:

[tex]x_{A,o}[/tex], [tex]x_{A}[/tex] - Initial and final position of the hiker A, measured in miles.

[tex]x_{B,o}[/tex], [tex]x_{B}[/tex] - Initial and final position of the hiker B, measured in miles.

[tex]t[/tex] - Time, measured in hours.

[tex]v_{A}[/tex], [tex]v_{B}[/tex] - Velocities of hikers A and B, measured in miles per hour.

Given that [tex]x_{A,o} = 0\,mi[/tex], [tex]x_{B,o} = 22\,mi[/tex], [tex]x_{A} = x_{B}[/tex] and [tex]t = 5\,h[/tex], the system of equation is reduced to the following:

[tex]0\,mi -(v_{B}+2.2\,mph)\cdot (5\,h) = 22\,mi+v_{B}\cdot (5\,h)[/tex]

[tex]-5\cdot v_{B}-11 = 22+5\cdot v_{B}[/tex]

[tex]10\cdot v_{B} = -33[/tex]

[tex]v_{B} = -3.3\,mph[/tex]

Now, the velocity of the hiker A is:

[tex]v_{A} = - (-3.3\,mph)-2.2\,mph[/tex]

[tex]v_{A} = 1.1\,mph[/tex]

The hikers A and B travel at rates of 1.1 miles per hour and 3.3 miles per hour, respectively.

Answer:

3. x+8

4. 6y

5. 1/2m

6. 50/h

7. 7-n

8. 15+x

9. 2t/12

10. p² -3

11. 2k-7

12. 3(w+5)

13. C

14. The error was it was written that you would subtract the pages read by pages in the article which is incorrect. You would subtract pages total (5) by pages read (p). So it is 5-p.

15. 4v

16. 16/p

17. 2.97/p

18. 20+j

19. 7-d

20. m/60

21. y/12

22. unit rate-8

23. unit rate-1.5

24. unit rate-2.4

25. unit rate-6.8

26. C

Answer:

  8

Step-by-step explanation:

Let x represent the number. Then the reciprocal is 1/x. The quotient of 25 and the number is 25/x. The problem statement tells us ...

  3 + 1/x = 25/x

Subtracting 1/x, we have ...

  3 = 24/x

  x = 24/3 = 8 . . . . . . . . multiply by x/3

The number is 8.

Answer:

only q or r can be irrational

Step-by-step explanation:

Rational numbers are numbers that can be expressed in the form a/b, where both a and b are integers and b ≠ 0. The decimal representation of an rational  numbers either repeats the sequence of digits over again or terminates at a finite number.

Irrational numbers are numbers that are not rational. The decimal representation of an irrational  number does not repeat a sequence of digits over again and never terminates. e.g √2, π.

The product of two irrational numbers is a rational number, the product of two rational numbers is a rational number while the product of a rational and irrational number is an irrational number. Hence since in p*q*r is an irrational number and p is a rational number, If both q and r are irrational then:

q*r = irrational * irrational = rational

p*(q*r) = rational * rational = rational. Since the result is not an irrational number then both q and r cannot be irrational.

But, If either q and r are irrational then:

q*r = irrational * rational = rational * irrational = irrational

p*(q*r) = rational * irrational = irrational. Since the result is an irrational number then only q or r can be irrational

Answer:

1) Both q and r may be rational

2) r may be rational if q is irrational

Step-by-step explanation:

I did the quiz and got it right. Also I watched the video twice. You got this!!!!

Answer:

the domain represents all the x values and range represents all the y value

In a function y=mx+b ( linear equation), the problem is giving the y values so plug in the value of each (y) in the equation to get x.

example: the range is : { 2,4,6} find the domain in the function y=x+1

y=x+1  take value 2

2=x+1

this goes for linear equation

Answer:

$8.75 X 43 equals $376.25

Step-by-step explanation:

Answer:

you will pay 274.75 at month 5 for both companies

company A: 42.95x+60.00

company B. 49.95x+25.00

Step-by-step explanation:

Answer:

after 5 months

Step-by-step explanation:

cost of company A =42.95 x +60  ( x for month)

cost of company B= 49.95 x  +25

42.95 x +60=49.95 x+25

42.95x-49.95x=25-60

7x=35

x=35/7= 5 months

check :

company A: 42.95(5)+60=274.75

company B : 49.95(5)+25=274.75

16. 18/8/25 = 458/25 = 18.32

17. No because it cannot be written as ratio of two numbers

18. 3/3/11 + 3.27 = 36/11 + 35.97/11

= 6/5/11

19. ( not able to answer)

20. Diameter of pizza. = 10.333333

Length of the pizza box = 10.38

10.38 > 10.33333

Therefore, the pizza box is big enough to fit the pizza inside

21. 110/147/168 = 110/49/56

22. 4/5 = 0.8

5/6 = 0.8333333..................

Therefore, the second and the fifth might be correct.

Answer:

addition

Step-by-step explanation:

32(d/2 - 5) = 224

divide both side by 32

d/2  - 5 = 224/32

d/4  - 5 = 7

multiply both sides by 4

d - 20 = 28

lastly, add 20 to both sides

d = 28 + 20

d = 48

therefore, the last step is addition

Answer:

3a-6b+2ab

Step-by-step explanation:

He'll buy 16 new releases and 22 classic movies.

Let x = number of new releases

Let y = number of classics.

The equation to solve the question will be:

20x + 8y = 500

When x= 16 and y = 22, thus will be:

= 20x + 8y

= 20(16) + 8(22)

= 320 + 176

= 496

Therefore, since this is the number closest to $500, therefore this will be the appropriate number of movies that he can buy.

In conclusion, he'll buy 16 new releases and 22 classic movies.

Read related link on:

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Answer:

x = 16, y = 22

Step-by-step explanation:

Answer:data results can be interpreted in different ways

Step-by-step explanation:

Answer:

C-Data results can be interpreted in different ways

Step-by-step explanation:

Edg. 2020

here's proof

Answer:

25 and 49.

Step-by-step explanation:

Because 35 = 5 * 7,

35^2 = 5^2 * 7^2

= 25 * 49.

Answer:

Find the highest (8.9°C) temperature and subtract it by the lowest (-13.4°C)

8.9°C - (-13.4°C) = 22.3

The difference in temperature on the coldest and warmest day is 22.3°C

Answer:

R2 > R1

Step-by-step explanation:

Here in this question, we want to select which of the relations best gives the answer.

Mathematically;

Power = Voltage * current

But current = voltage/resistance

Power = voltage * voltage/resistance

P = V^2/R

For 40 W

40 = (220)^2 * R1

R1 = 40/(220)^2

For 60 W

60 = (220)^2 * R2

R2 = 60/(220)^2

Mathematically, since we have the same denominator (220)^2 but with 60 greater than 40, that automatically translates to the fact that the value of R2 is greater than the value of R1( You can finish evaluating each of the expressions using a calculator).

Answer:

x = 7

y = -7/2

Step-by-step explanation:

(x+6i)=(3-i)+(4-2yi)​

First look at the real parts

x = 3 +4

x = 7

Then look at the imaginary part

6i= -i -2yi

6 = -1-2y

Add 1 to each side

6+1 = -2y

7 = -2y

Divide by -2

7/-2 = y

Answer:

The first one

Step-by-step explanation:

It is the first one as it is just the original expanded.

It isn't the third on because the second bracket is technically - 1x-6 so it is positive.

2xa=-2a

2x-3=-6 etc.

Hope this helped!

Answer:

no

Step-by-step explanation:

It is x^(1/2)

Answer:

This equation is incorrect.

Step-by-step explanation:

The sqrt(x) does not equal x squared.

You can rewrite a square root to be to the one-half power.  See if this looks correct:

x^(1/2) ?= x^2

No of course these aren't equal.  Hence, this equation is incorrect.

Cheers.

Answer:

Ok, here we have the sequence:

0.25, 1.75, 3.75, 5.75, 7.75, …

First let's define the two most common types of sequences:

Arithmetic: The difference between any two consecutive terms of the sequence is always the same.

Geometric: In this case, the terms are created by multiplicating the previous term by a constant number (and this is for all the terms in the sequence).

Now let's try to see if this is arithmetic, to do it, we select different sets of two consecutive terms and see their difference, if all the differences are the same, then this is an arithmetic sequence:

1.75 - 0.25 = 1.5

3.75 - 1.75 = 2

5.75 - 3.75 = 2

So for the first two terms, the difference is 1.5 and for all the next ones, the difference is 2, then it is not an arithmetic sequence.

(it would be if the first term was -0.25 instead of 0.25).

Now let's try with geometric.

To see if the series is geometric, we should see the quotient of consecutive pairs of numbers, if this quotient is the same for all of them, then this is a geometric sequence:

1.75/0.25 = 7

3.75/1.75 = 2.14

Well, we can see that the quotients are different, then this can not be a geometric sequence.

Then the answer will be neither.

If we want to write a recursive rule will be like an arithmetic sequence, but with the first two terms specified as:

a₀ = 0.25

a₁ = 1.75

aₙ = aₙ₋₁ + 2 for n = 2, 3, 4, .......

Answer:

[tex](-\infty,-4.6)[/tex]

Step-by-step explanation:

So we have the inequality:

[tex]-4(x+4)>x+7[/tex]

First, let's distribute the left:

[tex]-4x-16>x+7[/tex]

Now, let's add 16 to both sides:

[tex]-4x>x+23[/tex]

Subtract x from both sides:

[tex]-5x>23[/tex]

Divide both sides by -5. Since we're dividing by a negative, flip the sign:

[tex]x<-4.6[/tex]

This is saying all values less than -4.6.

In other words, in an interval, this would be from negative infinity all the way up to -4.6. Thus:

[tex](-\infty,-4.6)[/tex]

We do not use brackets because we do not include -4.6 into our set.

And we're done!