Find the value of x. images attached

Height in which Peyton grew in 3 ½ years = 5 ¼ inches

Height Peyton grows each year =

= 5 ¼ ÷ 3 ½

= 21/4 ÷ 7/2

= 21/4 × 2/7 ( division of fractions is the same as multiplication with reciprocal )

= 42/28

Let us simplify this by dividing the numerator and denominator by 2 .

= 42 ÷ 2 / 28 ÷ 2

= 21/14

= 1 7/14 inches

Peyton's average growth rate per year was 1 7/14 per year . Let us simplify it .

= Both 7 and 14 are divisible by 2 .

So , 1 whole 7 ÷ 2 / 14 ÷ 2

= 1 whole 1/2

= 1 1/2

Therefore , Peyton's average growth rate per year was 1 1/2 inches .

Answer:

Step-by-step explanation:

[tex]a_n=a_1+d(n-1)\\\\a_8=a_1+d\cdot7\\\\a_{20}=a_1+d\cdot19\\\\a_{20}-a_8=a_1+19d-(a_1+7d)=12d\\\\56-20=2d\\\\12d=36\\\\d=3\\\\\\ a_1+3\cdot7=20\\\\a_1=20-21=-1[/tex]

If the 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively, then the 1st term of the sequence is -1

The nth term of an arithmetic sequence is given by the formula:

[tex]a_n=a+(n-1)d[/tex]

The 8th term of the arithmetic sequence is 20

[tex]a_8 = 20\\\\a_8=a+(8-1)d\\\\a+7d=20.......................(1)[/tex]

The 20th term of the arithmetic sequence is 56

[tex]a_{20} = 56\\\\a_{20}=a+(20-1)56\\\\a+19d=56.......................(2)[/tex]

Subtract equation (1) from equation (2)

12d  =  36

d  =  36/12

d  =  3

Substitute d = 3 into equation (1)

a  +  7d  =  20

a  +  7(3)  =  20

a  +  21  =  20

a   =  20  -  21

a  =  -1

The first term of the arithmetic sequence is -1

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Answer:

Y=-2/5x

Step-by-step explanation:

Y-int: (0,0)

x-int:(-2,5)

Answer:

6 feet

Step-by-step explanation:

Let's form a proportion;

24                    x

____    =      _____ ,

 9                   2.25

24(2.25) = 9x,

54 = 9x,

x = height of soldier = 6 feet

Answer:

6 feet

Step-by-step explanation:

[tex]\frac{height of object}{length of shadow}[/tex]

Let the hight of the soldier be x

[tex]\frac{24}{9}[/tex] = [tex]\frac{x}{2.25}[/tex]

x = (24×2.25)/9 = 6ft

Answer:

a) line a= 5/9 line b= 5/9

Step-by-step explanation:

Use the slope formula:

m =    y2 - y1  

         x2 - x1

Plug-in the known values for each line:

Line A:     -1 - 4 = -5    =  5  

               -3 - 6      -9         9

Line B:     5 - 0  =  5  

               3 - (-6) =   9

Answer:201

Step-by-step explanation:

177+24=201

Answer:

a is 12, p is 9.

Step-by-step explanation:

No matter what letters or numbers you use you have to come out with the exact number that sums up with the queston provided which means you have to come out with the sum 21 either way, no matter what letters, numbers youu use.

Facts:

Answer:y=12x

Step-by-step explanation:

The algebraic equation that models the distance will be d = 12 * t ,

where d = distance traveled and t = time taken to travel.

The total distance traveled by the object in a given time interval is the average speed. A scalar quantity is an average speed. It is represented by the magnitude and lacks direction.

        Avg. speed = [tex]\frac{Total distance travelled}{Total Time Taken}[/tex]

Given :

Total distance traveled = 52 miles.

Average Speed =  12 mph

Let the time taken by t hours.

Therefore, according to the formula:  12 = 52 / t

52 = 12 * t

in order to convert it into algebraic form, let d = 52

Hence, The algebraic equation that models the distance will be

d = [tex]12 *t[/tex]

where d = distance traveled and t = time taken to travel.

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Answer:

The answer is below

Step-by-step explanation:

Monique made several batches of soup for a potluck supper. Each batch required 3\4 of a pound of potatoes, and she used a total of 6 1/2 pounds of

potatoes. Solve the division problem.

What is 13/2 ÷ 3/4

Answer:

a) 3\4 of a pound of potatoes can make a batch of potluck supper. Monique used 6 1/2 pounds of  potatoes in total. Let n represent the number of batches of soup that was made, hence:

[tex]n=\frac{total\ number\ of\ potatoes\ used}{6 1/2 pounds ofpotatoes\ to\ make\ a\ batch\ of\ soup} \\\\n=\frac{6\frac{1}{2} }{\frac{3}{4} } =\frac{\frac{13}{2} }{\frac{3}{4} } =\frac{13}{2}*\frac{4}{3} =8.67[/tex]

Therefore Monique made about 8 batches of soup

b) [tex]\frac{\frac{13}{2} }{\frac{3}{4} } =\frac{13}{2}*\frac{4}{3} =\frac{26}{3} =8.67[/tex]

Answer:

b and e are the best options and are true

Answer:

a. The number of students who can play all three instruments = 2 students

b. The number of students who can play only the saxophone is 0

c. The number of students who can play the saxophone and the clarinet but not the flute = 4 students

d. The number of students who can play only one of the clarinet, saxophone, or flute = 4

Step-by-step explanation:

The total number of students available = 29

The number of students that can play flute = 11 students

The number of students that can play clarinet = 15 students

The number of students that can play saxophone = 12 students

The number of students that can play flute and saxophone = 4 students

The number of students that can play flute and clarinet = 4 students

The number of students that can play clarinet and saxophone = 6 students

Let the number of students who could play flute = n(F) = 11

The number of students who could play clarinet = n(C) = 15

The number of students who could play saxophone = n(S) = 12

We have;

a. Total = n(F) + n(C) + n(S) - n(F∩C) - n(F∩S) - n(C∩S) + n(F∩C∩S) + n(non)

Therefore, we have;

29 = 11 + 15 + 12 - 4 - 4 - 6 + n(F∩C∩S) + 3

29 = 24 + n(F∩C∩S) + 3

n(F∩C∩S) = 29 - (24 + 3) = 2

The number of students who can play all = 2

b. The number of students who can play only the saxophone = n(S) - n(F∩S) - n(C∩S) - n(F∩C∩S)

The number of students who can play only the saxophone = 12 - 4 - 6 - 2 = 0

The number of students who can play only the saxophone = 0

c. The number of students who can play the saxophone and the clarinet but not the flute = n(C∩S) - n(F∩C∩S) = 6 - 2 = 4

The number of students who can play the saxophone and the clarinet but not the flute = 4 students

d. The number of students who can play only the saxophone = 0

The number of students who can play only the clarinet = n(C) - n(F∩C) - n(C∩S) - n(F∩C∩S) = 15 - 4 - 6 - 2 = 3

The number of students who can play only the clarinet = 3

The number of students who can play only the flute = n(F) - n(F∩C) - n(F∩S) - n(F∩C∩S) = 11 - 4 - 4 - 2 = 1

The number of students who can play only the flute = 1

Therefore, the number of students who can play only one of the clarinet, saxophone, or flute = 1 + 3 + 0 = 4

The number of students who can play only one of the clarinet, saxophone, or flute = 4.

$.40

Step-by-step explanation:

if you want the full one it's .415

Answer:

x= 6

Step-by-step explanation:

3(x + 4) = 2x + 4x - 6

3x + 12 = 2x + 4x - 6

3x + 12 = 6x - 6

-3x = -18

x= 6

hope it helps

if it helps you, pls give me the brainliest.

Answer:

x = 6

Step-by-step explanation:

3(x + 4) = 2x + 4x - 6

~Distribute the left side

3x + 12 = 2x + 4x - 6

~Combine like terms on the right side

3x + 12 = 6x - 6

~Subtract 12 to both sides

3x = 6x - 18

~Subtract 6x to both sides

-3x = -18

~Divide -3 to both sides

x = 6

Best of Luck!

Answer:

The equation for the price, as a function of time in hours is:

P(x) = 20*x    for 0 ≤ x ≤ 2

P(x) = 40 + 10*(x - 2)  for  2 ≤ x

Now, we want to evaluate this function in 40 mins.

we know that 1 hour = 60mins.

Then 40 mins = (40/60) hours = 0.67 hours.

Then we input this in our function, and because this is smaller than 2, we use the first piece of our function:

P(0.67) = 20*0.67 = 13.4

So in 40 mins, the charge will be 13.4 pesos.

Answer:

[tex]Cost = 1 + 0.25y[/tex]

[tex]Cost =3.25[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = \$ 1[/tex]

[tex]Additional = 25cents[/tex] of child's age

Solving (1):

Determine the cost function.

Represent the years as y.

So, we have:

[tex]Additional = 25cents[/tex] * y

Convert 25 cents to dollars.

[tex]25 cents = 25 * \$0.01[/tex]

[tex]25 cents = \$0.25[/tex]

So, we have:

[tex]Additional = \$0.25 * y[/tex]

The cost amount is then:

[tex]Cost = Base\ Amount + Additional[/tex]

[tex]Cost = 1 + 0.25y[/tex] --- This is the cost function

Solving (b): Cost of 9 years old.

In this case;

[tex]y = 9[/tex]

Substitute 9 for y in [tex]Cost = 1 + 0.25y[/tex]

[tex]Cost =1 + 0.25 * 9[/tex]

[tex]Cost =1 + 2.25[/tex]

[tex]Cost =3.25[/tex] --- This is the cost for a child of 9

Answer:

1+0.25y, 2.25

Step-by-step explanation:

You would express the added 25 cents times the age of the child since the age is represented by the variable y, you would put 0.25y

then to find what the cost is for a nine year old you would multiply 9 by 25 and at the end of multiplying you would move the decimal from zero two times to the left. In case you don't understand how you could move the decimal from zero, there is always a decimal to the right of a whole number where the number ends its just not seen because there is no decimal in the number to represent. The decimal would still be there just it would be invisible but it becomes visible when there is a decimal number to represent.

hope this helps someone, keera

Answer:

Some include: 3/21, 4/28, 5/35.

Step-by-step explanation:

You multiply the bottom by a number and then you multilpy the top by that same number!

1/7=3/21

1 times 3=3

7 times 3=21

The question is incomplete. Here is the complete question.

Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements.

A. Segment EF is twice as long as segment AB.

B. Segment CD is twice as long as segment FG

C. The measure of angle HEF is twice the measure of angle DAB

D. The length of segment EH is 16 units.

E. The area of EFGH is twice the area of ABCD.

Answer: A. Segment EF is twice as long as segment AB

              D. The length of segment EH is 16 units

              E. The area of EFGH is twice the area of ABCD

Step-by-step explanation: One quadrilateral which is scaled copy of another quadrilateral means both quadrilateral are similar, i.e., they have congruent angles (same angles) but different sides lengths.

Comparing side GH with side CD, you notice GH's length is twice the side CD. This relationship between each corresponding sides is called scale factor.

Analysing statements above:

A. This statement is correct because segments EF and AB are corresponding sides, so EF will be twice as much as AB;

B. This is incorrect because they are not corresponding sides, so they are not related;

C. Is incorrect because measure of angle in similar quadrilateral has the exact same angle;

D. Statement is correct because if segment AD is 8 units, the corresponding segment EH will be:

EH = 2 x 8 = 16 units

E. Tis statement is correct because area of quadrilateral ABCD is proportional to the area of quadrilateral EFGH by the scale factor, therefore, area of EFGH is twice the area of ABCD.

Given:

In September, John sold 32 prints of his artwork for $126.

In October, he sold 48 prints of his artwork for $240.

To find:

The cost per print expressed as a slope.

Solution:

Let y be the cost of x prints.

The relationship between the number of poster prints and total earnings is linear.

In September, John sold 32 prints of his artwork for $126. So, the line passes through (32,126).

In October, he sold 48 prints of his artwork for $240. So, the line passes through (48,240).

Now, the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{240-126}{48-32}[/tex]

[tex]m=\dfrac{114}{16}[/tex]

[tex]m=7.125[/tex]

The slope of the linear function 7.125.

Therefore, the cost of per print is $7.125.

Answer:

6/11

Step-by-step explanation: If not this try 12/22

This is because 11 is the denominator and both 5 and 6 are numerators. If you were to ask for what the fraction of remaining pie would be cherry, then you would say 5/11

Answer:

-8

Step-by-step explanation:

Given:

m=-3 n=4 p=2

Missing Equation:

p2 + mn

Find:

Value of equation

Computation:

p2 + mn

⇒ (2)2 + (-3)(4)

⇒ 4 + (-12)

⇒ 4 - 12

-8

Answer:

x = 6

Step-by-step explanation:

4 − 2(2x − 7) = −6.

Distribute

4 -4x +14 = -6

Combine like terms

18-4x = -6

Subtract 18 from each side

18 -4x-18 = -6-18

-4x = -24

Divide each side by -4

-4x/-4 = -24/-4

x = 6

Answer:

The square root of 2 is not rational, i.e. it is irrational. Explanation: We can think of a rational number as that which can be expressed as a fraction or ratio of two integers. Irrational numbers do not terminate or repeat, and cannot be represented by a finite … Suppose √2 is rational.

Step-by-step explanation:

The answer is B, hope this helped you!

Answer: 7.07 m/s

Step-by-step explanation:

I took the quiz and that was the correct answer 5 is wrong

The speed of the dog at half of its kinetic energy is 7.07 m/s. The correct option is (B).

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

Given that,

The present speed of the dog is 10 m/s.

Suppose the mass of the dog be m kg.

Since, the kinetic energy of an object is given as K = 1/2mv².

As per the question, the following expression can be written,

Initial energy, K₁ = 1/2m × 10²

                           = 50m

Final energy, K₂ = K₁/2

                           = 50m/2

                           = 25m

Using the expression for kinetic energy,

1/2mv² = 25m

=> v² = 50

=> v = √50

       = 7.07

Hence, the speed of the dog when its kinetic energy is reduced to half is 7.07 m/s.

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Answer:

the answer is 37.5cm^2

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

x + 2y = - 6 → (1)

3x + y = 2 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the term in y

- 6x - 2y = - 4 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 10 ( divide both sides by - 5 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

2 + 2y = - 6 ( subtract 2 from both sides )

2y = - 8 ( divide both sides by 2 )

y = - 4

Solution is (2, - 4 )

Answer:

29

Step-by-step explanation:

Given that:

Bag 1 : Bag contains 10 tags numbered 1 - 10 with different numbers on each

Bag 2: Another bag with 8 tags numbered from 20 - 27

Two Tags are drawn at random, one from each bag; Expected value of the sum of numbers on the two selected tags :

Expected value = mean of numbers in bag 1 + mean if numbers in bag 2

E(X) = (bag 1 minimum + maximum) / 2 + (bag 2 minimum + maximum) / 2

E(X) = [(1 + 10) / 2] + [(20 + 27) / 2]

E(x) = (11/ 2) + (47/2)

E(x) = 5.5 + 23.5

E(x) = 29

Hence, expected value of sum if numbers from each draw = 29

Answer:

sorry I don't mean to be rude but where is the question what you've written is a statement

Answer:

1 is B 2 is D

Step-by-step explanation:

5+3+2=10

but since you took a pink one out its now 9 you also need to subtract 1 from the 5 since you didn't replace it

so your chances of getting a pink one are 4/9