Find the product. Your answer should be in simplest form.

-7/9•3/5

The dot meaning times

The given expression 7x - y = -9 in the slope intercept form can be represented as y = 7x + 9.

The expression given to us is -

7x - y = -9

We have to represent this in the slope intercept form.

The slope intercept form can be represented as -

y = mx + c

where, y = y coordinate of the line

           m = slope of the line

            x = x coordinate of the line

            c = y intercept of the line

Thus, representing the given expression in the slope intercept form, we have

7x - y = -9

=> -y = -7x - 9

=> y = 7x + 9

Thus, the given expression in the slope intercept form can be represented as y = 7x + 9.

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Answer:

Because the residual plot does not show a clear pattern, a linear model is appropriate.

Step-by-step explanation:

Answer:

D. X=6.08, x=-0.58

Step-by-step explanation:

Given the rational expression

\(\frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x^2-4x-6x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x(x-4)-6(x-4)} = \frac{-3}{x-6}\\ \\\frac{2x}{x-4}-\frac{2x-5}{(x-4)(x-6)} = \frac{-3}{x-6}\\Rerrange;\\\frac{2x-5}{(x-4)(x-6)} = \frac{2x}{x-4}+ \frac{3}{x-6}\\\frac{2x-5}{(x-4)(x-6)} = \frac{2x(x-6)+3(x-4))}{(x-4)(x-6)}\\\)

Cancel out the denominator on both sides

\(2x-5 = 2x(x-6)+3(x-4)\\Expand\\2x-5 =2x^2-12x+3x-12\\2x-5 = 2x^2-9x-12\\Equate \ to \ zero\\2x^2-9x-12-2x+5 = 0\\2x^2-11x - 7 = 0\\\)

Factorize

\(x = -(-11)\pm\frac{\sqrt{(-11)^2-4(2)(-7)} }{2(2)}\\x = 11\pm\frac{\sqrt{121+56} }{4}\\x = 11\pm\frac{\sqrt{177} }{4}\\x = 11\pm\frac{13.3 }{4}\\x = \frac{11+13.3}{4} \ and \ x = \frac{11-13.3}{4} \\x = 6.08 \ and \ - 0.58\)

Hence the required solution is X=6.08 and -0.58

Answer:

I say do 9+7 then add a p to whatever you get

Step-by-step explanation:

Answer:

Step-by-step explanation:

let the integers be x,x+1,x+2

x+x+1+x+2≤951

3x≤951-3

3x≤948

x≤316

greatest value of x=316

x+1=316+1=317

x+2=316+2=318

so integers are 316,317,318

Greatest inter=318

Answer:

Option 4

Step-by-step explanation:

x+(x+2)+(x+4) \(\leq\) 951

314+ (314+2)+(314+4)

314+316+318\(\leq\) 951

948\(\leq\)951

Answer:

Y=1/5x since 0.20 in fraction form is 20/100 or 1/5.

Answer:

(C) y = 1/5x

Step-by-step explanation:

A nonmember doesn't pay for a yearly fee, so the equation that represents the yearly cost for a nonmember will NOT include a y-intercept. That means either (A) or (C) is correct.

$0.20 is the amount paid per game token, x, so it's the slope.

$0.20 as a fraction is 2/10, and when simplified, it's 1/5.

That means (C) y = 1/5x is the answer.

Hope this helps (●'◡'●)

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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Answer:

left to right

Step-by-step explanation:

Answer:

the slope is 0

Step-by-step explanation:

i know this because i asked a math teacher

Hello!

Supplementary angles add up to 180 degrees.

Let the unknown angle be w.

w+w+42=180

That's the right equation, because we have an angle w and an angle that's 42 degrees more than w (w+42)

Solve:

2w+42=180

Subtract 42 from both sides:

2w=180-42

2w=138

Divide both sides by 2:

w=69

Add 42:

w=69+42=111

Let's check:

69+111=180

Answers: 69 and 111 (degrees)

Hope everything is clear.

Let me know if you have any questions!

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The area of the 125 degree sector for a circle with a radius of 12 m is approximately 158 square meters.

To find the area of a 125 degree sector of a circle with a radius of 12 m, we need to use the formula for the area of a sector:

Area of sector = (θ/360) x πr², where θ is the central angle of the sector, r is the radius of the circle, and π is a constant equal to approximately 3.14.

Substituting the given values, we get: Area of sector = (125/360) x π x 12² = (0.3472) x π x 144 = 158.03

Rounding to the nearest whole number, we get the area of the sector as 158 square meters. Therefore, the area of the 125 degree sector for a circle with a radius of 12 m is approximately 158 square meters.

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Answer:

The correct answer is A 1.83944157

Answer:

step by step ✌️

Answer:

4.4

Step-by-step explanation:

To find the answer we would need to find by how much the amount reduced from Figure B to Figure A.

10/4=2.5.

Now we just need to divide 11 by 2.5 which equals 4.4.

So, if I'm correct, the answer should be 4.4.

Hope this helps! <3

Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use PEMDAS to determine order of operations.

P = Parentheses

E = Exponents

M/D = Multiplication/Division

A/S = Addition/Subtraction

The operation in the parentheses must be performed first, which is the addition of 6.1 + 12.

The next operation to perform is multiplication, which is 415 times (6.1 + 12).

The last operation to perform is the subtraction of 415 times (6.1 + 12) from 8.3.

6.1 + 12 = 18.1

8.3 - 415(18.1)

8.3 - 7511.5 = -7503.2

The fraction that is equivalent to the repeating decimal 0.35 is 7/20.

To determine the fraction that is equivalent to the repeating decimal 0.35, we can follow the steps below:

Step 1: Let x be equal to the repeating decimal 0.35.

Step 2: Multiply both sides of the equation in Step 1 by 100 to eliminate the decimal point:

   100x = 35.35

Step 3: Subtract the equation in Step 1 from the equation in Step 2 to eliminate the repeating decimal:

   100x - x = 35.35 - 0.35
          99x = 35

Step 4: Simplify the equation in Step 3 by dividing both sides by 99:

   x = 35/99

Step 5: Simplify the fraction 35/99 to reduced form by dividing both the numerator and denominator by their greatest common factor, which is 5:

   35/99 = (7 x 5)/(11 x 9 x 5) = 7/20

Therefore, the fraction that is equivalent to the repeating decimal 0.35 is 7/20.

To understand how we arrived at the fraction 7/20 as the equivalent of the repeating decimal 0.35, we need to have a basic understanding of decimals and fractions.

Decimals are a way of expressing parts of a whole in base 10. In a decimal number, the digits to the right of the decimal point represent fractions of 10, 100, 1000, and so on. For example, the decimal 0.35 represents 3/10 + 5/100, which can be simplified to 35/100.

On the other hand, fractions are a way of expressing parts of a whole in terms of a numerator and a denominator. The numerator represents the number of equal parts being considered, and the denominator represents the total number of equal parts that make up the whole. For example, the fraction 7/20 represents 7 parts out of 20 equal parts, or 7/20 of the whole.

Sometimes, a decimal number can be expressed as a fraction with integers as the numerator and denominator. These types of fractions are called rational numbers, and they can be expressed as terminating decimals or repeating decimals.

Terminating decimals are decimals that end, such as 0.5, 0.75, or 0.125. These decimals can be expressed as fractions with integers as the numerator and denominator by counting the number of decimal places and setting the denominator to a power of 10 that corresponds to that number. For example, 0.5 can be expressed as 5/10, which simplifies to 1/2.

Repeating decimals are decimals that have a pattern of one or more digits that repeat infinitely. For example, the decimal 0.333... has a repeating pattern of 3, and the decimal 0.142857142857... has a repeating pattern of 142857. These decimals can also be expressed as fractions with integers as the numerator and denominator.

To convert a repeating decimal to a fraction

We start by letting x be the repeating decimal, and we multiply both sides of the equation by 10, 100, 1000, or some other power of 10 to eliminate the decimal point. We then subtract the original equation from the new equation to eliminate the repeating decimal, and we simplify the resulting equation by dividing both sides by a common factor. The resulting fraction can then be simplified to reduced form by dividing both the numerator and denominator by their greatest common factor.

In the case of the repeating decimal 0.35, we followed these steps and arrived at the fraction 7/20 as the equivalent. This means that 0.35 and 7/20 represent the same value or amount. To verify this, we can convert 7/20 to a decimal by dividing 7 by 20, which gives 0.35.

Therefore, 0.35 and 7/20 are equivalent forms of the same value or amount.

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The possible monthly high temperature is less than 25°.

It's important to note that temperature simply means the degree of hotness and the coldness that a particular medium has.

In this situation, the difference between the monthly high and low temperatures was less than 27° Fahrenheit and monthly low temperature

was -2° Fahrenheit. Therefore, the monthly high will be:

High - Low < 27

High - (-2) < 27

High + 2 < 27

High < 27 - 2

High < 25

The interpretation means that the temperature is less than 25°F.

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The area swept clean by the wiper blade is 221.128 square inches.

To find the area swept clean by the wiper blade, we can calculate the area of the sector of a circle that the blade moves through.

The radius of the circle that the blade moves through is the length of the arm, which is 19 inches.

The angle that the blade moves through is 105 degrees.

To calculate the area of the sector, we need to convert the angle to radians:

105 degrees * (π/180) = 1.8326 radians (rounded to 4 decimal places)

The area of the sector is then:

(1/2) * r^2 * θ = (1/2) * (19^2) * 1.8326 = 325.628 square inches (rounded to 3 decimal places)

However, the area swept clean by the wiper blade is not the full area of the sector, as the blade itself has a width of 11 inches. Therefore, we need to subtract the area of the triangle formed by the blade and the two radii of the sector that intersect at the blade's pivot point.

The length of one of the radii is the length of the arm, which is 19 inches. The length of the other radius is 19 - 8 = 11 inches since the blade is mounted 8 inches from the pivot point.

Using the formula for the area of a triangle:

(1/2) * base * height = (1/2) * 11 * 19 = 104.5 square inches

Therefore, the area swept clean by the wiper blade is:

325.628 - 104.5 = 221.128 square inches (rounded to 3 decimal places)

So the area swept clean by the wiper blade is approximately 221.128 square inches.

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Answer:

$912

Step-by-step explanation:

First, find the tax.

Multiply the tax rate by the price.

tax rate * price

The tax rate is 14% and the price is $800.

14% * 800

Convert 14% to a decimal. Divide 14 by 100 or move the decimal places 2 spaces to the left.

14/100=0.14

14.0–> 1.4 —> 0.14

0.14 * 800

Multiply

112

The tax is $112.

Now find the total bill.

Add the tax and the price.

tax + price

The tax is $112 and the price is $800.

$112 + $800

Add

$912

The final bill is $912.

Answer:

80,023,904

Step-by-step explanation:

Just add all the numbers together.

Answer:

"8023904

Step-by-step explanation:

20 000 + 8 000 000=8020000

4+3000=3004

3004+900=3904

3904+ "8023904"

The number of years for the population of bacteria to reach 7569 is given by n = 7.4 years

Given data ,

To estimate when the population will exceed 7569, we can set up an inequality using the given population growth equation:

P(t) = 1600e^(0.21t) > 7569

Now we can solve for t. Here are the steps:

Divide both sides of the inequality by 1600 to isolate the exponential term:

e^(0.21t) > 7569 / 1600

Take the natural logarithm (ln) of both sides to eliminate the exponential term:

ln(e^(0.21t)) > ln(7569 / 1600)

Note: Since ln and e are inverse functions, they cancel each other out, leaving us with just the exponent.

Simplify the right-hand side using the properties of logarithms:

0.21t > ln(7569) - ln(1600)

ln(7569/1600) is equivalent to ln(4.73125), which is approximately 1.554

0.21t > 1.554

Divide both sides by 0.21 to solve for t:

t > 7.4

Hence , the estimated time when the population will exceed 7569 is t > 7.4 years, or approximately t > 7.4 years

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Answer:

$5

Step-by-step explanation:

The opposite of multiplication is division.

$15/Raking = 3 times more pay than mowing the lawn.

Divide $15/Raking by 3 and you'll get the pay for mowing the lawn.

15/3 = 5

Answer:

5

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

10x6=60. 6+6+6+6+6+6+6+6+6+6= 60

Answer:

D. x ≤ 3

Step-by-step explanation:

26 + 13x ≤ 65

13x ≤ 65-26

13x ≤ 39

13x ≤ 39 ÷13

x ≤ 3

\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)

➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]

➝ -4 × (-2) [2 × (-6) + 3 × (4) ]

➝ -4 × (-2) [2 × (-6) + 12 ]

➝ -4 × (-2) [(-12) + 12 ]

➝ -4 × (-2) [0]

➝ -4 × 0

➝ 0

Answer:

-4*-2

Step-by-step explanation:

the multiple of both side is 4*2*,26+*32*--=6 44

Answer:

x = -3

Step-by-step explanation:

first, take out the x on the right side and move it to the left side (subtract the 13x from 13x and subtract 13x from -2x). then amove 23 from the left side to the right side (add 23 to 23 and add 23 to 22). the equation should be -15x = 45 now. divide -15 from both sides and you should get x = -3!

i hope this helps you!