The area of desert a is nine times the area of desert b. If the sum of their area 4000000 square miles find the area of each desert

Mistake occurred because Riley incorrectly factored the denominator of the second fraction as (x-2)(x+3) instead of (x-3)(x+3). This resulted in an incorrect expression in step 2, which led to incorrect calculations in subsequent steps.

Riley made a mistake on step 2. The second term should have been written as follows:

startfraction 3(x-3) over endfraction (x-2)(x-3)

Riley instead wrote:

endfraction startfraction 3(x-2) over (x-2)(x+3)

Riley erroneously calculated the second fraction's denominator as (x-2)(x+3) rather than (x-3)(x+3), which led to this error. Step 2's expression was inaccurate as a result, which caused the computations in the steps that followed to be incorrect.

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Answer: b=11

Step-by-step explanation:

2x^2+11x-40=0

here

a=2 ,  b=11 and c= -40

9514 1404 393

Answer:

Step-by-step explanation:

At the insistence of the problem author, we will let x represent pounds of Antigua coffee and y represent pounds of Rift coffee. Then we have ...

  x + y = 70

  8.50x +12.50y = 10.56(70) . . . . . total cost of the mix

__

We like to use the variable to represent the high-cost contributor. Here, that is y, so we'll substitute for x:

  x = 70-y

  8.50(70 -y) +12.50y = 10.56(70)

__

  595 +4y = 739.2 . . . . . . . . . . . . . . simplify

  4y = 144.2 . . . . . . . . . . . subtract 595

  y = 36.05 . . . . . . . divide by 4

  x = 70 -36.05 = 33.95

About 36 pounds of Rift Valley coffee and 34 pounds of Gualtemala Antigua coffee must be mixed.

_____

Additional comment

By letting the variable in our equation 8.50(70 -y) +12.50y = 10.56(70) represent the high-cost coffee, we ensure that the simplified equation will have a positive coefficient for the variable. This means we don't have to mess with negative numbers, so eliminating a common source of math errors.

The problem requirement that we use x for the low-cost contributor meant we introduced an extra equation that would not have been needed.

Answer:

7 1/8

Step-by-step explanation:

1 1/8 + 1 1/8 is 2 2/8

2 2/8 + 4 7/8 is 6 9/8 = 7 1/8

Step-by-step explanation:

volume = π · r^2 · h

volume = π · 3^2 · 5

volume = π · 9 · 5

volume = π · 45

Answer : 45π

The total money spent on a pass and lunch for each student is $850.14.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

here,

As mentioned in the question, Passes for 28 pupils and 4 teachers cost the school $778.88 and the school also spends $241.64 on lunch for kids only.

Total number of person  = 28 + 4
                                     = 32
Cost per pass = 778.88 / 32
                     = $24.34
Total passes of students = 25 × 24.34 = 608.5
Total spend on lunch of student = 241.64
Total spend on lunch = 241.64 + 608.5 = $850.14

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The Corollary to the polygon is explained below and the  formula to find the measure of each interior angle is  " (n - 2)×180°/n "   .

The Corollary to the polygon Angle Sum Theorem states that : the sum of the interior angles of a regular n gon is written as :

that means , ⇒ Sum of interior angles = (n - 2) × 180° ...equation(1)

In a regular "n-gon" , all the interior angles are said to be congruent.

Let "x" be  measure of each interior angle of a regular n-gon.

So , we can write ;

⇒ Sum of interior angles = (n)×(x)  ;

Equating the above expressions with equation(1),

⇒ (n)×(x) = (n - 2) × 180°  ;

On Solving for x,

⇒ x = (n - 2)×180°/n  ;

Therefore, the measure of each interior angle of a regular "n-gon" is x = (n - 2)×180°/n  .

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The value of the function f(x + a) - f(x) is √(x + a - 9) - √(x - 9)

The function definition is given as

f(x) = √(x - 9) + 6

We start by calculating the function f(x + a)

So, we have

f(x + a) = √(x + a - 9) + 6

The function definition f(x + a) - f(x) is calculated as

f(x + a) - f(x) = √(x + a - 9) + 6 - (√(x - 9) + 6)

Open the bracket

So, we have

f(x + a) - f(x) = √(x + a - 9) + 6 - √(x - 9) - 6

Evaluate the difference

So, we have

f(x + a) - f(x) = √(x + a - 9) - √(x - 9)

Hence, the value of the function f(x + a) - f(x) is √(x + a - 9) - √(x - 9)

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Answer:

I hope this helps!

Step-by-step explanation:

Ans

a)28x=y

b) 616 miles 28 constant of proportionality

d) 21. 42 gallons approximately

8 gallons

1) Gathering the data

Gallons Miles

0 0

4 112

6 168

8 224

10 280

a) This is a linear function/equation since the growth in gallons is arithmetic for every 2 gallons plus, there's an increase by 56 miles. When the car is not still.

So we can write 28x=y

Ex

28(4) =112

28(6)=168

28(8)=224

and so on...

b) The constant of proportionality is 28 for 112/4 = 28

If Katya fills her 22-gallon tank she could drive: 28 (22)= 616 miles

d) 600 = 28x

x =21.42 gallons approximately to drive 600 miles.

224 miles according to the table is 8 gallons, since 28 * 8 = 224

The correct equivalent expression to the square root containing a variable is 2a³/5 and the correct option is E.

We shall simplify the expression of the square root containing a variable by carrying out basic mathematics operations to derive its equivalent as follows:

squre root of (36a⁸/255a²) = square root of (36a⁶ × a²/255 × a²)

a² is common and can be cancel out

square root of (36a⁸/255a²) = square root of (36a⁶/255)

square root of (36a⁸/255a²) = square of 36 multiplied by the square root of a⁶ all divided by the square root of 255 {take square root of each}

square root of (36a⁸/255a²) = 6a³/15

square root of (36a⁸/255a²) = 2a³ × 3/5 × 3

we divide through by the common factor 3

square root of (36a⁸/255a²) = 2a³/5

Therefore, the equivalent expression to square root of (36a⁸/255a²) is derived as 2a³/5 which is option E.

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Answer:

D. x = 21

Step-by-step explanation:

So a straight line is equal to 180º and that's what we're trying to figure out here. Set both equations to equal 180, it should look like:

5x + 4x - 9 = 180

Now we just solve!

5x + 4x - 9 = 180

5x + 4x = 9x

9x - 9 = 180

     +9     +9

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

9x = 189

Divide both sides by 9 to get x by itself.

189/9 = 21

x = 21

Answer:

f(x)=3x^2+2

Step-by-step explanation:

use pm

The number 3/5% as a fraction is 3/500, which can be obtained by dividing 3 by 5 and then multiplying by 1/100. As a decimal, 3/5% is 0.006 or 0.6%.

When we want to convert a percentage to a fraction, we first need to convert the percentage to a decimal by dividing by 100. In this case, the percentage is 3/5%, which means 3 out of 5 parts per hundred, so we divide 3/5 by 100%.

To divide a fraction by a percentage, we can convert the percentage to a fraction by placing it over 100, then we can invert and multiply the two fractions. This gives us:

3/5 ÷ 100% = 3/5 ÷ (100/100) = 3/5 ÷ 1 = 3/5

So we get 3/5 as the fractional equivalent of 3/5%.

To convert the same percentage to a decimal, we divide 3/5 by 100%, which is equivalent to moving the decimal point two places to the left.

3/5 ÷ 100% = 0.03 ÷ 0.05 = 0.006

Therefore, the decimal equivalent of 3/5% is 0.006.

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Answer:

w = 42

Step-by-step explanation:

A linear pair is a pair of adjacent angles which add up to 180 degrees(supplimentary).

Given m<1 = w + 5, m<2 = 3w + 7, and the fact that m<1, and m<2 form a linear pair. This relationship can be given by:

m<1 + m<2 = 180.

To solve just substitute the expressions given by the angles, and solve.

m<1 + m<2 = 180

| |

v v

(w+5)+(3w+7) = 180 →

4w + 12 = 180

-12 -12

___________

4w = 168

÷4 ÷4

_______

w = 42

Answer:

I need a image of the problem to see what u found the answer to the question please ma'am.

Answer:

solve what

Step-by-step explanation:

Answer:

46/3

Step-by-step explanation:

|2a| - b/3

Plug in the values and evaluate.

|2(7)| - (-4)/3

|14| + 4/3

Apply | a | = a

14 + 4/3

42/3 + 4/3

= 46/3

Answer: The answer would be 6!

Answer:

1) slope: 3/2 and y-intercept: -1

2) slope: 1/4 and y-intercept: 2

3) slope: - 5/2 and y-intercept: - 5

Step-by-step explanation:

Answer:

m∠Z= 23°

Step-by-step explanation:

if they're equal, as are their angles

124°+33°= 157°

180°-157°= 23°

m∠Z = 23°

The triangles are congruent. Therefore,

ΔXYZ ≅ ΔMNL

∠Y ≅ ∠N

Therefore,

∠Y = 124°

Sum of angles in a triangle = 180°

33 + 124 + m∠Z = 180°

157 +  m∠Z  = 180°

m∠Z = 180 - 157

m∠Z = 23°

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Answer:

what is the expressio

Step-by-step explanation:

The expression that  is equivalent to 0 is eight less than ten minus two because it will give the zero expression when expressed mathematically.

The mathematical expression  can be described as the finite combination of the mathematical items which can be symbols which is been  according to rules and this can be based on the particular expressions items that is been given.

In this case we can come into conclusion that, eight less than ten minus two will gives us zero which implies that out of the given option, option A is correct.

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Answer:

$60

Step-by-step explanation:

In a set of data, the median is the value that is placed in the middle. to find the median, we must order the numbers from least to greatest, like so:

20, 40, 40, 50, 60, 60, 60, 60, 70, 70

Using this representation, we find that there are two numbers in the middle: 60 and 60 (since the amount of data is an even number, there will be two numbers in the center).

When something like this occurs, find the average of the two numbers in the middle (and the values and divide by the number of values). We have:

60 + 60 = 120;

\(\frac{120}{2} = 60\)

Therefore, the median is $60.

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

(b) more than twice as much y as x

Step-by-step explanation:

At all incomes for which Harold consumes positive amounts of both goods, he will consume more than twice as much y as x.

To see this, we can consider the budget constraint that determines the amount of x and y that Harold can afford to consume. Let I be Harold's income and px and py be the prices of x and y, respectively. Then the budget constraint can be expressed as:

I = px * x + py * y

Substituting the given values for I, px, and py, we get:

I = 1 * x + 2 * y

This equation represents a line in the xy-plane, with slope -2 and y-intercept I/2. This line represents the set of all combinations of x and y that Harold can afford to consume, given his income and the prices of x and y.

Since the utility function U(x,y) = (x+3)(y+2) is a positive linear transformation of x and y, it follows that the slope of the budget constraint will be equal to the slope of the indifference curve at any point on the budget constraint. Therefore, the slope of the budget constraint (-2) represents the relative amounts of x and y that Harold will consume.

Since the slope of the budget constraint is negative, Harold will consume more y than x. Moreover, since the absolute value of the slope is greater than 1, Harold will consume more than twice as much y as x.

Therefore, the correct answer is (b) more than twice as much y as x.

I hope this helps! Let me know if you have any other questions or need further assistance.

Answer:

(-7,-13) (-6,-12) (3,-3) (5,-1) (7,1)

Step-by-step explanation:

plug in each x value into the equation

take -7 for example

when -7 is x, we plug it into the equation

\(y=x-6\)

\(y = (-7) -6\)

\(y=-13\)

you would do this same process for the rest of the x values.

Answer:

See below

Step-by-step explanation:

| -5| = 5  

| 5 | does not equal - 5