Find the equation of the line perpendicular to the line y=−3x+5 that passes through point (2, 6).

x = 2 is the answer.

Answer:  The required value of x in the given equation is 2.

Step-by-step explanation:  We are given to find the value of x in the following equation :

[tex]2.5(6x-4)=10+4(1.5+0.5x)~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the value of x, we need to solve the given equation (i).

The solution of equation (i) is as follows :

[tex]2.5(6x-4)=10+4(1.5+0.5x)\\\\\Rightarrow 15x-10=10+6+2x\\\\\Rightarrow 15x-10=16+2x\\\\\Rightarrow 15x-2x=16+10\\\\\Rightarrow 13x=26\\\\\Rightarrow x=\dfrac{26}{13}\\\\\Rightarrow x=2.[/tex]

Thus, the required value of x in the given equation is 2.

because of the shape it is molded as, some balloons are made to be hearts so when they are blown up they are shaped like hearts

Final answer:

The daughter is 10 years old, and the mother is 36 years old. We solved two equations simultaneously to find their ages, based on the relationship between their ages and their combined total age.

Explanation:

To solve the problem, we need to set up two equations based on the information provided. Let's denote the daughter's age as d and the mother's age as m. We are given that the mother is 6 years older than 3 times her daughter's age. Formally, this can be expressed as:

m = 3d + 6

Next, we know that their combined ages total 46. This leads to a second equation:

m + d = 46

We can use these two equations to solve for d and m. Substituting the expression for m from the first equation into the second gives:

3d + 6 + d = 46

We simplify this to find d:

4d + 6 = 46

4d = 40

d = 10

Now we can use this to find m:

m = 3(10) + 6

m = 30 + 6

m = 36

So the daughter is 10 years old and the mother is 36 years old.

Final answer:

The total number of different options for the car model, considering all combinations of features such as color, transmission type, four-wheel drive, air conditioning, and number of speakers, is 240.

Explanation:

To calculate the total number of different options available for a car model, we need to consider all the possible combinations of features. In the given scenario, there are 10 choices for the color, 2 choices for the transmission (automatic or not), 2 choices for four-wheel drive (with or without), 2 choices for air conditioning (with or without), and 3 choices for the number of radio CD speakers (2, 3, or 4).

To find the total number of different combinations, we multiply the number of options for each feature:

Colors: 10 options

Transmission: 2 options (with or without automatic)

Four-wheel drive: 2 options (with or without)

Air conditioning: 2 options (with or without)

Radio CD speakers: 3 options (2, 3, or 4 speakers)

By multiplying these together, we get the total number of configurations:

Total options = 10 (colors) × 2 (transmission) × 2 (four-wheel drive) × 2 (air conditioning) × 3 (speakers)

Total options = 240 different configurations are available for this model of the car.

Remark

They all have (0,0) as a point on the proportional relationship, so the general equation for this is

y = kx

Now all we have to do is find k

Method

If any two points (besides (0,0) ) give the same k as an answer then that is the proportional relationship.

Solution

(1/4) ÷(1/3)     Change to a decimal

0.25 ÷ 0.3333333 = 0.75

(4/4) ÷ (2/3) = 1 ÷ 0.666666 = 1.5 Rounded

A is not the answer

B

1 ÷ 2/7 = 1 ÷ 0.28571 = 3.5

2 ÷ 5/7 = 2÷ 7142857 = 2.8 Not the same

B is not the answer

C

(2/5) ÷  3 = 0.4 ÷ 3 = 0.13333333

(1/5) ÷ (3/2) = 0.2 / (1.5) = 0.13333333

Answer C

Comment

The answer is C or y = 0.133333 x

Notice that whenever possible, change these into decimals. Decminals are easier to handle.

This answer is 18y • (y - 1)

Step by step solution:

Equation at the end of step 1:

[tex]9 (x - y) ^2 - 9 (x^{2} - y^{2})[/tex]

Equation at the end of step 2:

[tex]9 (x^2 + y^2 - 2xy) - 9 (x^2 - y^2)[/tex]

Equation at the end of step 3:

[tex]9x^2 + 9y^2 - 18xy - 9x^2 + 9y^2[/tex]

Equation at the end of step 4:

After performing basic +, - operation we get:

[tex]18y^2 - 18xy[/tex]

Answer is: 18y. (y – x)

-11 is the smallest integer!

Why? Because it's a negative number. -5 is the closest to being a positive. 15 is the largest integer so the answer is -11

The answer could be -120 in a simplified form

Answer:

−40+(−20)+(−60) = -40 - 20 - 60= -120

Step-by-step explanation:

The square root of a number can be estimated by locating which two perfect squares it falls between. This provides the two consecutive integers between which the square root lies. For example, the square root of 12 falls between the perfect squares of 9 (3^2) and 16 (4^2), thus it lies between the integers 3 and 4.

To determine between which two integers a square root lies without using a calculator, you can use the method of perfect squares. Perfect squares are numbers that result from squaring integers. For instance, the perfect squares for the integers 1, 2, 3, 4, and 5 are 1, 4, 9, 16, and 25, respectively.

Let's say you wish to locate the square root of 12. You can list the perfect squares until you find two such that 12 falls between them. In this case, we can see that 12 is between the perfect squares 9 (3^2) and 16 (4^2). Therefore, the square root of 12 is between the integers 3 and 4.

This is a straightforward method for roughly determining the value of a square root without using a calculator. Exact values can unfortunately only be determined with the help of a calculator or mathematical tools beyond middle school level.

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Answer:

Step-by-step explanation:

he or she is correct

midpoint = ( [tex]\frac{13}{2}[/tex], - 6 )

using the midpoint formula

midpoint = [ [tex]\frac{1}{2}[/tex](4 + 9), [tex]\frac{1}{2}[/tex](- 10 - 2 )] = ( [tex]\frac{13}{2}[/tex], - 6)

Another way of naming line m is AB

Last one is the answer

Answer: The fourth option. [tex]AB^{<-->}[/tex]

Step-by-step explanation:

BA stands for the segment between B and A, so this is not the correct option.

B (with a double arrow on top) refers to a line, but with only one point we could draw infinite lines, so this is not the correct option)

mB (with a double arrow on top) does not mean anything.

AB (with a double arrow on top) refers to a line that phases through the points A and B, so this is the other way of naming the line m.

The given side dishes are rice potatoes and vegetables = 2

The given main dishes are chicken, fish and beef = 3

As there are 2 side dishes. With rice potatoes we can order any of the three main dish, so it is 3 combination. Similarly with vegetables also, we can order any of the three main dish, so it is 3 combination.

So, combined combination is 3+3 = 6

Hence, the correct answer is option A.

Answer:9 combinations

Step-by-step explanation:

3+3+3=9

Here is your inequality:

[tex]z + \frac{1}{8} > \frac{1}{5}[/tex]

You're looking for z. To do that, you need to remove everything on the same side of z. The only thing with z is positive [tex]\frac{1}{8}[/tex] . To remove it, you need to do the opposite of it, which is negative [tex]\frac{1}{8}[/tex], which is the same as subtracting [tex]\frac{1}{8}[/tex]. Subtract:

[tex]z+\frac{1}{8} - \frac{1}{8} > \frac{1}{5} - \frac{1}{8} \\ \\z = \frac{1}{5} - \frac{1}{8}[/tex]

Subtract [tex]\frac{1}{8}[/tex] from [tex]\frac{1}{5}[/tex]. Since they have a different denominator(bottom number in a fraction), change them into fractions with common denominator. To find a common denominator, list the multiples of both numbers and see what is common.

[tex]5 - 5, 10, 15, 20, 25, 30, 35, 40, 45 \\8- 8, 16, 24, 32, 40, 48[/tex]

In the numbers listed above ↑, the only common multiples is 40. That means you need to change both fractions so that they both have a denominator of 40.

[tex]\frac{1 \times 8}{5 \times 8} = \frac{8}{40}[/tex]

[tex]\frac{1 \times 5}{8 \times 5} = \frac{5}{40}[/tex]

Here is your new equation:

[tex]z> \frac{8}{40} - \frac{5}{40}[/tex]

Subtract:

[tex]\frac{8}{40} - \frac{5}{40} = \frac{3}{40} \\\\z> \frac{3}{40}[/tex]

Your answer is z > [tex]\bf \frac{3}{40}[/tex]

If you have any questions, feel free to ask in the comments! :)

To solve the inequality z + 1/8 > 1/5, subtract 1/8 from both sides to isolate z. The solution to the inequality is z > 3/40. Graphically, represent the solution set by shading all values greater than 3/40 on a number line.

To solve the inequality z + 1/8 > 1/5, we need to isolate z. First, we subtract 1/8 from both sides of the inequality: z + 1/8 - 1/8 > 1/5 - 1/8. This simplifies to z > 3/40. Therefore, the correct solution for the inequality is z > 3/40.

To graph this inequality on a number line, we draw an open circle at 3/40 and shade all the values greater than 3/40 to the right. This represents the solution set of the inequality.

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Your equation is just to multiply 480 by 3/4.

Easy way to do these quick.

480 (3/4) is the same as (480 * 3) / 4

480 / 4 = 120

By simplifying, you are left with just 120 * 3 in the numerator

120 * 3 = 360

There are 360 people on the plane.

If you need to check your answer:

360 / 480

Take away the zeros at the end by dividing both by 10

36 / 48

Divide both by 6

6 / 8

Now divide by 2

3 / 4

To find the total fraction of food eaten by George and Silvia, convert each of their portions to have a common denominator and then add the fractions together, resulting in them eating 13/15 of the container.

The question asks us to find the total fraction of the container of Chinese food that George and Silvia ate together. George ate 2/3 of the container, while Silvia ate 1/5 of it. To find the total amount they ate, you need to add these two fractions together.

Calculating the sum of the fractions:

First, find a common denominator, which in this case is 15 (because 3 and 5 both divide evenly into 15).

Convert each fraction to an equivalent fraction with a denominator of 15:

George's portion becomes (2/3) x (5/5) = 10/15

Silvia's portion becomes (1/5) x (3/3) = 3/15

Add the two fractions: 10/15 + 3/15 = 13/15

Therefore, together, George and Silvia ate 13/15 of the container of Chinese food.

Answer:

3/5 and 60%

Step-by-step explanation:

Independent variable: The number of houses Harold sells

Dependent Variable: The amount of money Harold earns

Function: f(x)=250,000(x)

x represents how many houses Harold sells, and f represents how much money Harold earns.

Now, let's solve the problem.

f(x)=250,000(9)

f(x)=2,250,000

Harold earns $2,250,000

The correct answer is C. (x+4)(x+2)(x+5)=0

To find the factored form of the equation, we can use synthetic division to divide the polynomial by (x - 4). The quotient will give us the factored form of the equation: (x - 4)(x^2 + 7x - 2).

To find the factored form of the equation x^3 + 3x^2 -18x - 40 = 0 when four is a zero, we can use synthetic division. Synthetic division can be used to divide the polynomial by (x - 4). The quotient will give us the factored form of the equation.

Set up the synthetic division:

  4 | 1 3 -18 -40

Perform the synthetic division:

   •                              4                    

       ------------------------------------

     1     7    -2

Step 3:

Write the quotient as the factored form:

x^3 + 3x^2 -18x - 40 = (x - 4)(x^2 + 7x - 2)

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ANSWER TO PART A

The mapping for the reflection in the line [tex]y=x[/tex], is given by

[tex](x,y)\rightarrow (y,x)[/tex].

That is the coordinates swap position .

The only way we can construct a function [tex]f(x)[/tex], such that;

[tex](x, f(x))\rightarrow (f(x),x)[/tex] are equal is when

[tex]f(x)=x[/tex].

So that when [tex]x=a, f(a)=a[/tex] .

The mapping then becomes

[tex](a,a)\rightarrow (a,a)[/tex].

Therefore the function, [tex]f(x)=x[/tex] is the function whose reflection in the line

[tex]y=x[/tex] is itself.

ANSWER TO PART B

The function is symmetrical with respect to the origin. That is to say the function is an odd function.

A function is symmetric with respect to the origin, if it satisfies the condition,

[tex]f(-x)=-f(x)[/tex]

For instance,

[tex]f(a)=a[/tex]

[tex]f(-a)=-a[/tex]

Since

[tex]f(-a)=-a=-f(a)[/tex]

We say the function is symmetric with respect to the origin.

9 * 9 * 9 = 729. This is also an exponent 9^3.

When you determine the powers you need to multiply the number itself how many times the power says to multiply.

9 raised to the power of 3 is equal to 729.

Given that we need to find that what is 9 to the power of 3.

To calculate 9 to the power of 3, we need to multiply 9 by itself three times.

In mathematical notation, it is written as 9³.

First, we start with 9 and multiply it by itself:

9 × 9 = 81

Next, we multiply the result by 9 again:

81 × 9 = 729

In simpler terms, it means that if you multiply 9 by itself three times, you get the result of 729.

Therefore, 9 raised to the power of 3 is equal to 729.

Learn more about exponents and powers click;

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For this case we have the following rule of three:

288 cars -------------------> 6days

x cars -------------------> 1dia

Resolving you have that the value of the variable x is given by:

[tex]x =\frac{(1)(288)}{6}\\\\x = 48\\[/tex]

Thus, the constant of proportion per day is 48 cars.

Answer:

Option B

2 3/5 - 1 1/3 = 2 6/15 - 1 5/15 = 1 1/5

The amount of snowfall in January was 2 and 3/5 feet while in February it was 1 and 1/3 feet. Upon converting these mixed numbers to improper fractions and subtracting, we find that January had 1 and 7/15 feet more snowfall than February.

The student needs to determine how much more snow fell in January compared to February. The amount of snowfall in January was 2 and 3/5 feet and the amount of snowfall in February was 1 and 1/3 feet.

To do that, first, we need to subtract the snowfall of February from that of January. Before doing so, we should convert the mixed numbers to improper fractions. 2 and 3/5 feet can be converted to 13/5 feet. 1 and 1/3 feet can be converted to 4/3 feet.

So, we subtract 4/3 feet from 13/5 feet: (13/5) - (4/3). For subtacting fractions, we need the denominators to match. Once we equalize the denominators and subtract, we get 1 and 7/15 feet. Therefore, January had 1 and 7/15 feet more snowfall than February.

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They both flow into the Gulf of Mexico

Gulf of Mexico is where they both flow into

its 54 bro trust me i know what im doing

nis after your done can you mind helping me after.. its ok if not.

Answer:

18

Step-by-step explanation:

Make a proportion 45/100  and x/45 then do cross multiplication then solve