Consider the equations: y = 2x − 4 and y = x − 2. Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations.

Answer:

Total = 0.5k + 0.75m

Step-by-step explanation:

Answer:

x+5

Step-by-step explanation:

x+5

Answer:

Two ways to show 38 is 12 x 3 = 38 and 1 x 38 = 38.

Step-by-step explanation:

Hope it helps! :)

Answer:

x=14, y=5. (14, 5).

Step-by-step explanation:

6x-11y=29

-5x+22y=40

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

5(6x-11y)=5(29)

6(-5x+22y)=6(40)

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

30x-55y=145

-30x+132y=240

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

77y=385

y=385/77=5

6x-11(5)=29

6x-55=29

6x=29+55

6x=84

x=84/6=14

x=14, y=5.

Answer:

1% of the whole australian population is Aborigines.

Step-by-step explanation:

Do [tex]\frac{part}{whole}[/tex] which is [tex]\frac{195000}{19500000}[/tex] and you get the answer 0.01 which (as a percent) can also be recognized as 1%.

Final answer:

The Aboriginal population forms about 1% of the total population of Australia when using the provided figures of a total population of 19,500,000 and an Aboriginal population of 195,000.

Explanation:

To calculate the percentage of the Aboriginal population in Australia relative to the total population, we can use the following formula:

Percentage = (Part / Whole) × 100

Here the 'Part' is the Aboriginal population and the 'Whole' is the total population of Australia. Plugging in the values provided:

Percentage of Aboriginal population = (195,000 / 19,500,000) × 100

Perform the division:

Percentage = 0.01 × 100

Finally, we multiply by 100 to convert the decimal to a percentage:

Percentage = 1%

Therefore, the Aboriginal population forms about 1% of the total population of Australia. Note that this number might be an underrepresentation since recent estimates indicate that the Aboriginal population is about 450,000, which would be a larger percentage.

Answer:

[tex]18 ≥ \displaystyle \frac{c}{5}[/tex]

Step-by-step explanation:

You can either write what I did in the above answer, or you could have done this:

[tex]\displaystyle \frac{c}{5} ≤ 18[/tex]

The keyphrase is at most, so you would give the inequality a less than or equal to.

I am joyous to assist you anytime.

1. 64 - 7c

2. 4x-3

3. p< -28

Step-by-step explanation:

6. -6 -7(c+10)

[tex]-6-7c+70\\-7c+64\\64-7c[/tex]

64 - 7c

7. 3x+4(x-6)-3(x-7)

[tex]3x+4x-24-3x+21\\4x-3[/tex]

4x-3

8. p+4 < -24

Subtracting 4 from both sides

[tex]p+4-4<-24-4\\p<-28[/tex]

p< -28

Keywords: linear equations, subtraction

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Answer:

Common factors of 18 & 32: 1, 2

Step-by-step explanation:

1 x 18 = 18

1 x 32 = 32

2 x 9 = 18

2 x 16 = 32

~

6 • (2p + 1) Is the correct answer.

Discriminant = 16

As 16>0, The roots will be real and unequal.

Step-by-step explanation:

The standard form of a quadratic equation is:

[tex]ax^2+bx+c = 0[/tex]

The discriminant is calculated as:

[tex]D=b^2-4ac[/tex]

Given equation is:

[tex]Y=-4x^2+2x+1[/tex]

Here

a = -4

b = 2

c = 1

Putting the values

[tex]D =(2)^2 - 4(-4)(1)\\=4+16\\=20[/tex]

The discriminant is 16 which is greater than zero so the roots of the equation will be real and unequal.

Keywords: Discriminant, Quadratic equation

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Answer:

$1.50

Step-by-step explanation:

To get the answer, simply divide the cost of 10 watermelon by the total number of watermelon, to get the cost of one watermelon.

So:

$15/10=1.50

one watermelon costs $1.50

Answer:

Your answer is C.

Step-by-step explanation:

When multiplying matrices, if they are the same number of rows and columns, you multiply.

The answer is C.

[ -9  -8]

[2      0]

Step-by-step explanation:

You multiply -3 by 3, 4 by -2, 2 by 1, and -5 by 0

which gives you:

-3 x 3= -9

4 x -2= -8

2 x 1 = 2

-5 x 0= 0

Answer: B. 26

Step-by-step explanation:

(21+9)-(8-4)=p

30-4=p

26=p

Answer:

Option (A) will be the correct match.

Step-by-step explanation:

We are asked to find which of the given equations matches the proportional relationship.

The only option (A) matches,

It is given that a cell phone rates plan costs 6 cents per minute.

Now, 6 cents is equivalent to $0.06.

Therefore, for a call of duration x minutes the cost of the call y, in dollars, will be given by  

y = 0.06x

So, option (A) will be the correct match. (Answer)

Answer:

Yes.

Step-by-step explanation:

Forget about the negative sign for now.

Just compare 5/7 and 4/5 first.

Find the common denominator so it's easy to determine which one is bigger/larger.

5/7=25/35 and 4/5=28/35

From here, you can tell which one is bigger/larger, right?

Definitely, 25/35<28/35.

5/7<4/5, but don't forget the negative sign.

It's -5/7 compared to -4/5, so the answer is yes, -5/7>-4/5.

Answer:

a. The odd number immediately following x = ( x+ 2)

b. The odd number immediately preceding x = ( x- 2)

Step-by-step explanation:

Odd Numbers : The number which DO NOT have  2 as their common factor are called odd numbers.

Hence, odd number IS NOT divisible by 2.

Some examples are :  1,3,5,7,9,..........

So, by the given examples, we can see that the difference between any TWO consecutive  odd number  is ALWAYS 2.

Here, given  x  :  odd number

So, using the above argument :

a. The odd number immediately following x = ( x+ 2)

b. The odd number immediately preceding x = ( x- 2)

Final answer:

a. The expression for the odd number immediately following an odd number x is x + 2.

b. The odd number immediately preceding x is x - 2.

Explanation:

a. If x is an odd number, the next consecutive number is an even number, which is obtained by adding 1 to x. Since odd numbers are two units apart, adding 2 to an odd number x would result in the next odd number. Therefore, the expression to represent the odd number immediately following x would be x + 2.

b. Similarly, the odd number immediately preceding an odd number x can be found by subtracting 2, because the prior odd number is two units less than x. The expression for the odd number immediately preceding x is x - 2.

The missing figure of the given line is attached

The equation in the point-slope form of the line is  [tex]y+3=\frac{1}{4}(x+4)[/tex] ⇒ 3rd answer

Step-by-step explanation:

The relation between the perpendicular lines

The formula of the slope of a line is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The point-slope form of the equation of a line is [tex]y-y_{1}=m(x-x_{1})[/tex] , where [tex](x_{1},y_{1})[/tex] is a point on the line

From the attached figure

The given line passes through points (-1 , 1) and (0 , -3), use them to find the slope of the line

∵ [tex]x_{1}[/tex] = -1 and [tex]x_{2}[/tex] = 0

∵ [tex]y_{1}[/tex] = 1 and [tex]y_{2}[/tex] = -3

∴ The slope of the given point = [tex]\frac{-3-1}{0-(-1)}=\frac{-4}{1}=-4[/tex]

∵ The product of the slopes of the perpendicular lines is -1

∵ The slope of the given line = -4

- Reciprocal the number and change its sign

∴ The slope of the perpendicular line = [tex]\frac{1}{4}[/tex]

∵ The slope-form of the equation is [tex]y-y_{1}=m(x-x_{1})[/tex]

∵ [tex]m=\frac{1}{4}[/tex]

∵ The line passes through point (-4 , -3)

∴ [tex]x_{1}[/tex] = -4 and [tex]y_{1}[/tex] = -3

- Substitute these values in the form of the equation

∴ [tex]y-(-3)=\frac{1}{4}(x-(-4))[/tex]

∴ [tex]y+3=\frac{1}{4}(x+4)[/tex]

The equation in the point-slope form of the line is [tex]y+3=\frac{1}{4}(x+4)[/tex]

Learn more:

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The equation in point-slope form of the line that is perpendicular to the given line and passes through the point (−4, −3) is; y + 3 = 1/4(x + 4)

The slope of the given straight line graph is; -4.

The slope of the perpendicular line is therefore; -1/-4 = 1/4

In essence, the point-slope form of the equation of a straight line takes the form;

I'm this case; a = -3 , b= -4 and m = 1/4

The equation is therefore; y + 3 = 1/4(x + 4)

Read more;

https://brainly.com/question/12922257

Answer: 125 apples

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

He should calmly leave and then report the threat.

Grant can respond in this situation by calmly leaving and then report the threat.

Violence threat can be risky if not properply managed. Some of the ways to handle violence threat in school include the following;

Thus, Grant can respond in this situation by calmly leaving and then report the threat.

Learn more about dealing with violence here: https://brainly.com/question/4209611

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Step 1. Identify what you are asked to find and choose a variable to represent it.

Step 2. Write a sentence that gives the information to find it.

Step 3. Translate the sentence into an equation.

Step 4. Solve the equation using good algebra techniques.

Step 5. Check the answer in the problem and make sure it makes sense.

Step 6. Write a complete sentence that answers the question.

Remember that whatever the application, once we write the sentence with the given information (Step 2), we can translate it to a percent equation and then solve it.

Do you pay a tax when you shop in your city or state? In many parts of the United States, sales tax is added to the purchase price of an item. See Figure 6.7. The sales tax is determined by computing a percent of the purchase price.

To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.

Answer:

the ASA which is B. proves that the two triangles are congrugent

Answer:

about 9 years

Explanation:

To solve this problem we will use what is known as 'The Rule Of 72.' This particular rule is what the Mathematical World considers a 'short cut.' That's because it is an efficient way to calculate how long it takes money to double, base solely on the interest rate. However, it is important to remember that this rule only provides an estimate, and not an exact amount of years.

The Rule Of 72 is as follows:

[tex]\displaystyle\frac{72}{[interest][rate]}[/tex]   =  time it takes for investment to double

*please note that I separated the word 'interest' and 'rate' using brackets. however, please ignore them. as I only used the brackets to separate the words since the equation option does not allow space between letters.

Now that you understand the Rule Of 72, let's use it to solve the given problem.

Corbin’s parents want to save $50,000 for his college education and already have $25,000. About how long would it take them to double their current savings if they can earn an 8% interest rate?

Although the first sentence in the problem gives us information of the parents goal and their current amount saved, this information will not be useful to us. As the Rule Of 72 goes, we only need to know the interest rate to solve.

Looking at the second sentence it states the interest rate is: 8%

Now substitute the interest rate in the Rule Of 72.

[tex]\displaystyle\frac{72}{[interest][rate]}[/tex] ⟶ [tex]\displaystyle\frac{72}{8}[/tex]

The last step is to simplify (or divide).

[tex]\displaystyle\frac{72}{8} = 9[/tex]

So, according the Rule Of 72, it will only take about 9 years to double their current savings.

Answer:

9 years

Step-by-step explanation:

i did that and i got it right

The equation of the inverse of y = 5x - 20 is y = (x + 20)/5.

To find the equation of the inverse of y = 5x - 20, we need to switch the x and y variables and solve for y. So the inverse equation will be x = 5y - 20. Now, let's isolate y by adding 20 to both sides: x + 20 = 5y. Next, divide both sides by 5: (x + 20)/5 = y. Therefore, the equation of the inverse is y = (x + 20)/5.

Answer:

-11 x + 19 thus c.) is your answer

Step-by-step explanation:

Simplify the following:

-5 + 4 (6 - 2 x) - 3 x

4 (6 - 2 x) = 24 - 8 x:

-3 x + 24 - 8 x - 5

Add like terms. 24 - 5 = 19:

-3 x - 8 x + 19

-8 x - 3 x = -11 x:

Answer:  -11 x + 19

Answer:

i believe it is a and b

Step-by-step explanation:

Answer:

make it general to include a career goal and qualifying skills.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

which of the following is important to remember when writing a job objective select all that apply  :

My answer:

We need to understand what is a career objective?

It is a short introduction about your resume or CV to prove recruiters why they should hire you. It should be short and attractive with no more than five lines. Declaration career goals should be realistic and specific roles (SMART goal) In this case, a joint statement with career goals and skills your eligibility can serve as a good job goals

Only the first choice is the best answer for this question.

Hope it will find you well.

Answer:

780 and 800

Step-by-step explanation:

hdvevdbsbsvbsbsbsbd

Answer:

12.56x^2+452.16

Step-by-step explanation:

A=pie r^2

(4x-24)/2= 2x-12 which is your radius

(2x-12)^2=4x^2+144

Pie=3.14ish

3.14(4x^2+144)

12.56x^2+452.16

Answer:

Step-by-step explanation:

The formula for the area of a circle is

A = πr².  We need the radius, r, to calculate the circle.

If the diameter of the circle is 4x - 24, then the radius is half that, or

2x - 12.

Then the area of the circle in question is  A = πr², or

A = π(2x -12)²

If desired, this could be expanded:

A = π(4)(x - 6)² = 4π(x^2 -12x + 36)

Answer:

3/10

Step-by-step explanation:

Okay so we know that a whole pizza = 1

First of all let's convert all the denominators

1 = 10/10

1/2 = 5/10

1/5 = 2/10

5/10 + 2/10 = 7/10

10/10 - 7/10 = 3/10

Answer:

27 vests

Step-by-step explanation:

       1 vest --------- 2/3 yard

       x vest -------- 18 yards

Final answer:

Mrs. Smith's class can make 27 vests out of 18 yards of fabric by dividing the total yards of fabric by the fabric needed for one vest, i.e., dividing 54 thirds of fabric by 2 thirds per vest.

Explanation:

The student's question involves a practical application of division in mathematics, specifically the division of fractions. To determine how many vests can be made from 18 yards of fabric, we need to divide the total yards of fabric by the amount of fabric needed for each vest.

Since each vest uses 2/3 of a yard of fabric, and Mrs. Smith has 18 yards of fabric, we can set up the following equation to find the number of vests:

Convert 18 yards to thirds to match the unit in the vest requirement. (18 yards * 3 thirds) = 54 thirds.

Divide the total thirds of fabric by the thirds needed for one vest. (54 thirds ÷ 2 thirds per vest) = 27 vests.

Therefore, Mrs. Smith's class can make 27 vests out of 18 yards of fabric.