Samantha claims that 4x + 2 is equivalent to the expression x + 17 + 3x - 15.
Check whether Samantha's equivalent expression is correct using x = 2.
A.)Samantha S incorrect because when
using x = 2, the resulting values in
both expressions are different
B.)Samantha is
incorrect because the expressions cannot be checked using x = 2.
C.)Samantha is correct
because when using x 2, the resulting values in
both expressions are equal.

The expression for y months is 15y and the number of books is 135

The rate is given as

Rate = 15 books in a month

The number of month is given as

Months = y

The total number of books is

Total = Rate * Months

So, we have

Total = 15 * y

Evaluate

Total = 15y

When y = 9, we have

Total = 15 * 9

Evaluate

Total = 135

Hence, the expression for y months is 15y and the number of books is 135

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Answer: Option D is correct.

Step-by-step explanation:

Given: 7 and 11

We need to find the geometric mean of 7 and 11.

Geometric series whose common ratio is equal.

The geometric mean of two numbers is the square root of the product of two numbers.

If a, b and c are in GP then the geometric mean is b

The geometric mean of any two numbers a and b is

The given numbers are 7 and 11

Geometric mean is [tex]\sqrt 7x11\\[/tex]

Geometric mean: [tex]\sqrt{x} 77[/tex]

The solution for the radical equation 2√x =√(x+1) is x=1/3

The phrase "algebraic expression" refers to any arrangement of terms that have undergone operations like addition, subtraction, multiplication, division, etc. (or variable expression).. Let's use the equation 5x + 7 as an example. Thus, 5x + 7 is an illustration of an algebraic expression.

Eliminate the radical on the both sides by squaring on both sides-

Both sides must be raised to the second power

(2√x)²=(√x+1)²

After squaring we get 4x=x+1

Solving the equation-

We get rearranged equation as 4x=x+1

3x=1    x=1/3

Check if the  solution is correct by putting it in original equation-putting x=1/3 in the equation 2√x =√(x+1)

2×√1/3=√1/3+1

4/3=4/3

Therefore, the solution for the radical equation 2√x =√(x+1) is x=1/3.

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Julia = 10 miles in 30 minutes

Jasmine = 3 miles in 12 minutes

Julia= 10/30 *2 = 20/60. Julia drove 20 mph

Jasmine= 3/12*5= 15/60. Jasmine drove 15mph

Julia drive faster.

The result of simplifying each number 64²/₃ 64²/₃  using the exponent rules is 256

To solve this exercise we have to resolve algebraic operations following the exponent rules.

64²/₃ * 64²/₃

The base number 64 is the same that: 4³, then we get:

(4)³ ⁽²/₃⁾ * (4)³ ⁽²/₃⁾

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:

4⁽³*²/³⁾ * 4⁽³*²/³⁾

4⁽⁶/³⁾ * 4⁽⁶/³⁾

(4)² * (4)²

Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:

4⁽²⁺²⁾

4⁴

4*4*4*4

256

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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The expression of the mathematical statement given as "The perimeter of a rectangle is equal to two times the length plus twice the width" is P = 2l + 2w

The mathematical statement is given as

The perimeter of a rectangle is equal to two times the length plus twice the width

Represent the perimeter with P

So, we have

P is equal to two times the length plus twice the width

Represent the length and the width with l and w

So, we have

P is equal to two times l plus twice w

So, we have

P = 2l + 2w

Hence, the expression of the mathematical statement given as "The perimeter of a rectangle is equal to two times the length plus twice the width" is P = 2l + 2w

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The equation which illustrates and meets the conditions given is 1.25 × 0.2

First number = 1.25

First number = 1.25Second number = 0.2.

Product = 0.25

First number, x = 1.25

First number, x = 1.25 Second number, y = 0.2

= first Number × second number

= 1.25 × 0.2

= 0.25

Evaluating the result : 0.25

Number of digits = 3

Non - zero digits = 2

There are several values of x and y that will satisfy the 3 conditions given.

Therefore, the product of the values 1.25 and 0.2 gives the required output

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Answer:

[tex]z=\frac{s}{h-4c^4}[/tex]

Step-by-step explanation:

Switch the subject

[tex]s=zh-4zc^4\\zh-4zc^4=s[/tex]

Factor

[tex]zh-4zc^4\\=z\left(h-4c^4\right)\\z\left(h-4c^4\right)=s[/tex]

Divide: remember that h - 4c^4 is not equal to zero

[tex]\frac{z\left(h-4c^4\right)}{h-4c^4}=\frac{s}{h-4c^4}[/tex]

Simplify your solution where z is the redefined subject

[tex]z=\frac{s}{h-4c^4}[/tex]

Step-by-step explanation:

s=zh-4zc^4

we will factorise

s=z(h-4c^4)

we will divide both sides by (h-4c^4)

s/(h-4c^4)=z

z=s/(h-4c^4)

pls rate as brainliest

When choosing a loan, the best scenario is lower APR, shorter loan, and extra principal payments.

A loan is a type of debt that a person or other entity incurs. The lender advances the borrower a certain amount of money, typically on behalf of a business, financial institution, or government. The borrower accepts a specific set of terms in return, which may include any financial costs, interest, a repayment schedule, and other requirements.

APR represents the total yearly cost of a loan to the borrower, including all fees. The APR is stated as a percentage, just like an interest rate. It does, however, contain other costs or fees such as mortgage insurance, the majority of closing costs, discount points, and loan origination fees, unlike an interest rate. It should be noted that the APR simply means the annual percentage rate which is the interest that's generated on the amount borrowed.

Therefore, it should be noted that when choosing a loan, the best scenario is a lower APR, shorter loan, and extra principal payments

This is important in order to reduce the value that the person will pay and make it easier to return the loan.

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Answer:

$92

Step-by-step explanation:

32+4x where x is 15

32+(4*15)=?

32+60=92

The biggest weight the person can be based on the recommendation by the doctor is 90 pounds.

From the information, it was stated that doctors recommend us to eat between 3 to 8 percent of our bodyweight each day and that one day someone eats 7.2 pounds.

It should be noted that based on the information given, the highest percentage which is 8% will be used for the calculation.

Therefore, the biggest weight the person can be will be:

8% of x <= 7.2

0.08x <= 7.2

x <= 7.2/0.08

x <= 90 pounds

Therefore, the biggest weight the person can be based on the recommendation by the doctor is 90 pounds.

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Answer: (262 - 70) ÷ 24

Step-by-step explanation:

Answer: I believe it is ZERO

Step-by-step explanation:

Answer:

No Solution

Source: cymath.com

Step-by-step explanation:

The amount that should be put into account is $6171.88

The formula for the compounded continuously is

              [tex]A = P(1 + {r}/{n})^{tn}[/tex]        (1)

    where , A  = future amount or the final amount

                  P = principal amount to be invested

                 r = annual interest rate

                 t = time

                 n = number of compounding in a year

According to the question we have been given that

              A = $8000

              r = 0.052

               t = 5

              n = 12

putting the required values in equation (1) we get

     8000 = P(1 + 0.052/12)^(5*12)

     8000 = P (1.004)^60

     8000 = P*1.27

            P = 8000/1.27

            P = $6171.88

Thus the amount that should be put into account is $6171.88

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Answer:

Step-by-step explanation:

hi

Answer: The square root of -50 is undefined

Step-by-step explanation: I put it in a calculator It said undefined

The value of h is 3

The line that includes the point (h, 3) and (9, -3) has a slope of -1.

Using the slope intercept equation,

y = mx + b

where

Therefore,

y = mx + b

y = -x + b

using (9, - 3)

-3 = - 9 + b

b = -3 + 9

b = 6

Therefore, the equation is as follows:

y = -x + 6

using (h, 3)

y = -(h) + 6

3 = -h + 6

-h = 3 - 6

-h = -3

h = 3

Therefore, the value of h is 3.

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Answer:

5miles : 1hour

Step-by-step explanation:

source: trust me

no really dont

The logarithmic form of 8 = (1/2)⁻³ is given by log₍₁/₂₎(8) = -3.

The logarithm is exponentiation's opposite function in mathematics. This means that the logarithm of a fixed number, base b, represents the exponent to which that fixed number must be raised in order to create a particular number x.. The logarithm counts the number of times the same factor appears during repeated multiplication in the simplest scenario.

The given exponential form of the equation is 8 = (1/2)⁻³

To transform this exponential form into logarithmic form, we are requested.

Consider the given exponential form: 8 = (1/2)⁻³

Taking logarithm on both sides with the base as (1/2), we get,⇒ log₍₁/₂₎(8) = log₍₁/₂₎(1/2)⁻³

Now using the logarithmic rule logₐ(aⁿ) = n × logₐ(a) in the RHS of the above equation, we get

⇒ log₍₁/₂₎(8) = (-3) × log₍₁/₂₎(1/2)

⇒ log₍₁/₂₎(8) = (-3) × 1                  

(Since logₐ(a) = 1, for a &gt; 0)

⇒ log₍₁/₂₎(8) = -3

Therefore, the logarithmic form of 8 = (1/2)⁻³ is given by log₍₁/₂₎(8) = -3.

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Answer: 346.19

Step-by-step explanation:

So we know that the radius of the corner shelf is 10.5 inches. So first you write down the formula for finding the area of a circle. The formula for finding the area of a circle is:

A= pi x r squared

A= 3.14 x 10.5 squared

A= 3.14 x 110.25

A= 346.185 or 346.19

Hope that helps

Answer:

I think about 5

5+5+5+5+5

25.

The correct option B: (-9/4 × 3/2)×(6/3 × 5/7) = -9/7×(3/2×6/3)×5/7 is the associative property of multiplication.

The formula for associative property of multiplication is-

a×(b×c) = (a×b)×c

For four digits;

(a×b)×(c×d) = a×(b×c)×d

Thus, from the given option the condition for associative law is only satisfied in option B.

(-9/4 × 3/2)×(6/3 × 5/7) = -9/7×(3/2×6/3)×5/7

Thus, the correct option for the associative property of multiplication s chosen.

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The two pages the boys are reading are pages 31, and 30. I'm not sure which is which. (would depend on who is reading the odd number page).

Josiah is reading page 31. The page he is reading is an odd-numbered page is 31 by factorizing number.

Step 1: Determine the factors of 930.

The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 31, 62, 93, 155, 186, 310, 465, and 930.

Step 2: Identify the factors that correspond to odd-numbered pages in the book.

Since Josiah is reading an odd-numbered page,  eliminate the even factors.

This leaves  with the odd factors:

1, 3, 5, 15, 31, 93, 155, and 465.

Step 3: Determine which odd factor corresponds to a page number within the range of the book.

Since the book has 50 pages,  eliminate the odd factors greater than 50. This leaves us with the odd factors: 1, 3, 5, 15, and 31.

Step 4: Identify the odd factor that, when multiplied by its complement, equals 930, that is:

31 × 30 = 930,

so Josiah is reading page 31.

Therefore, Josiah is reading page 31 of the book.

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Answer:

undefined

Step-by-step explanation:

4x-32=4x+2

-4x

-32=2

undefined

Answer:

124°

Step-by-step explanation:

MLI=56°

JIG=180°-56°

=124°

Answer:

Step-by-step explanation:

I think it´s the polygamous

the three equivalent ratios to the ratio 1 : 3 will be 2 : 6 , 3 : 9 and 4 : 12.

We are given a fraction 1 / 3

This can also be written as a ratio as 1 : 3

Now, the equivalent ratios to it will be:

First one:

1 × 2 : 3 × 3

= 2 : 6

Second one:

1 × 3 : 3 × 3

= 3 : 9

Third one:

1 × 4 : 3 × 4

= 4 : 12

Therefore, the three equivalent ratios to the ratio 1 : 3 will be 2 : 6 , 3 : 9 and 4 : 12.

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