What is the difference between −125 and 18?

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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The solutions of the expressions are as below:

13. (a, b) are points located on the first quadrant that is a is positive x axis and b is positive y axis

(-a, b) are points located on the second quadrant that is: a is negative x axis and positive y axis

(a, -b) are points located on the fourth quadrant that is: a is positive x axis and negative y axis

(-a, -b) are points located on the third quadrant that is: a is negative x axis and negative y axis

10. -9x - 2; x = -4

-9x - 2 for x = -4

= -9 * -4 - 2

= 36 - 2

= 34

11. 24 - 8x; x = -2.25

= 24 - 8 * - 2.25

= 24 + 18

= 42

12. 15x + 9; x = -1/10

= 15 * -1/10 + 9

= -1.5 + 9

= 7.5

13.

a are points in the x axis and b are points in the y axis

(a, b) are points located on the first quadrant that is a is positive x axis and b is positive y axis

(-a, b) are points located on the second quadrant that is: a is negative x axis and positive y axis

(a, -b) are points located on the fourth quadrant that is: a is positive x axis and negative y axis

(-a, -b) are points located on the third quadrant that is: a is negative x axis and negative y axis

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Answer:

Step-by-step explanation:

hi

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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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:

724,862.58

Step-by-step explanation:

7 (hundred thousands)

2 (ten thousands)

4 (one thousands)

,

0 (hundreds)

6 (tens)

2 (ones)

.

5 (tenths)

8 (hundreths)

Answer:

I think that your answer would be 724,862.58

Step-by-step explanation:

Answer:

hola

Si por qué le tenías que restar ala fracción equivalente

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 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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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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Answer:

I think about 5

5+5+5+5+5

25.

Answer:

124°

Step-by-step explanation:

MLI=56°

JIG=180°-56°

=124°

Answer:

Step-by-step explanation:

I think it´s the polygamous

Answer:

5miles : 1hour

Step-by-step explanation:

source: trust me

no really dont

Answer: The square root of -50 is undefined

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

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

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 > 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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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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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.

Answer:

Find K between M(1, -3) and N(4, 6) such that the

ratio of MK to KN is 1:2.

Step-by-step explanation:

Find K between M(1, -3) and N(4, 6) such that the

ratio of MK to KN is 1:2.

The coordinates of point K are (2, 0).

Given that there are three points M, K and N, such that M = (1, -3) and N = (4, 6) and the ratio of MK to KN is 1:2.

We need to find the coordinates of point K.

To find point K between M(1, -3) and N(4, 6) such that the ratio of MK to KN is 1:2, we can use the concept of section formula.

Let's assume the coordinates of point K are (x, y).

The section formula states that if a point K divides a line segment MN in the ratio m:n, then the coordinates of K are given by:

x = (n·x₁ + m·x₂) / (m + n)

y = (n·y₁ + m·y₂) / (m + n)

where (x₁, y₁) are the coordinates of point M and (x₂, y₂) are the coordinates of point N.

In this case, the ratio of MK to KN is 1:2, so m = 1 and n = 2.

Substituting the coordinates of M(1, -3) and N(4, 6) into the formula:

x = (2·1 + 1·4) / (1 + 2)

= (2 + 4) / 3

= 6 / 3 = 2

y = (2·(-3) + 1·6) / (1 + 2)

= (-6 + 6) / 3

= 0 / 3

= 0

So, the coordinates of point K are (2, 0).

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Answer: (262 - 70) ÷ 24

Step-by-step explanation:

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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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

Answer:

320

Step-by-step explanation:

Use PEMDAS - order of operations

5(2)^2 + 3(10)^2

5 x 4 + 3 x 100

20 + 300

320

Answer:

This is for #12

-2 > x

set notation: {x│x < -2}

interval notation: x∈(-∞, -2)  

Step-by-step explanation:

-3(x+2) > 10+5x

-3x-6 > 10+5x

+3x           +3x

-6 > 10+8x

-10   -10

-16 > 8x

÷8    ÷8

-2 > x

set notation: {x│x < -2}

interval notation: x∈(-∞, -2)

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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The length of the longest altitude of the triangle is 24 √5 cm.

The sides of the triangle that are given are:

35 cm, 54 cm and 61 cm

We need to find the longest altitude of the triangle.

We know that:

s = ( a + b + c ) / 2

s = ( 35 + 54 + 61 ) / 2

s = 150 / 2

s = 75

s - a = 75 - 35

s - a = 40

s - b = 75 - 54

s - b = 21

s - c = 75 - 61

s - c = 14

Area, A = √ s (s − a)(s − b)(s − c)

A = √ 75 (40) (21) (14)

A = 420 √ 5 cm²

Now, area is also equal to:

Area = 1 / 2 × b × h

420 √5 = 1 / 2 × 35 × h

h = 420 √ 5 × 2 ÷ 35

h = 24 √5 cm

Therefore, the length of the longest altitude of the triangle is 24 √5 cm.

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Using the law of sines, the length of side x, to 1 decimal place, is: 10.8 cm.

The law of sines states that:

Sin A/a = sin B/b = sin C/c.

Let:

Measure of angle A = 81°

a = x = ?

Measure of angle B = 40°

b = 7 cm

Plug in the values into Sin A/a = sin B/b to find the value of x

Sin 81/x = sin 40/7

Cross multiply

(x)(sin 40) = (sin 81)(7)

Divide both sides by sin 40

(x)(sin 40)/sin 40 = (sin 81 × 7)/sin 40

x = (sin 81 × 7)/sin 40

x = 10.8 cm (to 1 decimal place)

Therefore, using the law of sines, the length of side x, to 1 decimal place, is: 10.8 cm.

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The probability that at least one of the top three cards is a jack, queen, or king is 0.289%.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

A deck has a total of 52 cards.

A deck of cards has four jacks.

A deck of cards has four queens.

A deck of cards has four kings.

The total number of jacks, queens, and kings is 4 + 4 + 4 = 12.

Then the probability that at least one of the top three cards is a jack, queen, or king will be:

P = ( 12 / 52 ) × ( 8 / 51 ) × ( 4 / 50 )

P = ( 6 / 26 ) × ( 8 / 51 ) × ( 2 / 25)

P = 96 / 33150

P = 0.289%

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