While visiting friends in Brookfield, Janet bought a bike lock that was marked down 20% from an original price of $8.75. If the sales tax in Brookfield is 7%, what was the total cost of the bike lock?

Answer:

Ben has 19 marbles

Step-by-step explanation:

First taking that josh and ricks ratio is 1:2, this would set up in an equation as \(2j = r\) and with ben having 15 less than rick, his formula would be \(r = b + 15\) as well as the total of all the boys marbles together being this \(j+r+b=70\)

Now we put all of these equations into a set to answer them.

\(2j = r\\ r = b + 15\\j+r+b=70\)

First we solve for j

\(2j = r\\ j=\frac{1}{2} r\)

Then substitute j

\(j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140\)

Then simplify and multiply by 2 to even out

\(r = b + 15\\ -b+r=15\\2b+3r=140\)

Now eliminate the b variable and combine equations

\(2b+3r=140\\-2b+2r=30\)

\(5r=170\)

Now divide and solve for r

\(5r=170\\r=34\)

Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation

\(-b+34=15\\b=19\)

Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well

\(j=\frac{1}{2}(34)\\j=17\)

And now we know how much everyone has, to check we rewrite all the equations with their respective numbers

\(11+34+19=70\\2(17)=34\\34=19+15\)

\(70=70\\34=34\\34=34\)

Which means the ordered pairing of (b, j, r) is (19, 17, 34)

Answer:

x = - 3, x = - 1

Step-by-step explanation:

x² + 6x + 3 = 2x ( subtract 2x from both sides )

x² + 4x + 3 = 0 ← in standard form

Consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term (+ 4)

The factors are + 3 and + 1 , since

3 × 1 = 3 and 3 + 1 = 4 , then

(x + 3)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 1 = 0 ⇒ x = - 1

The uniform border around the garden increases the total area by a certain amount.

We can calculate the area of the garden by multiplying the length and width: 6 ft x 8 ft = 48 ft2. We can then add the unknown width of the border (x) to both the length and width of the garden to get the new dimensions: (6 + 2x) ft by (8 + 2x) ft. The area of the garden with the border is then (6 + 2x) ft x (8 + 2x) ft = 48 + 28x + 4x2 ft2.

We know that the total area with the border is 99 ft2, so we can set up the equation:

48 + 28x + 4x2 = 99

Simplifying this equation, we get:

4x2 + 28x - 51 = 0

Using the quadratic formula, we can solve for x:

x = (-28 ± sqrt(2828 + 816))/8

x = (-28 ± sqrt(3644))/8

x ≈ -3.44 or x ≈ 1.18

Since we can't have a negative border width, we choose the positive solution, x ≈ 1.18 ft. Therefore, the garden with the border has dimensions 8.36 ft by 10.36 ft, and the total area is approximately 99.08 ft2. The uniform border around the garden increases the total area by approximately 51.08 ft2.

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After solving, the height of the cylinder is 6 meters.

The surface area of a cylinder is 24π m².

The distance around the base of the cylinder is 3π meter.

The diameter of a base of the cylinder is 4 meter.

Now the radius of the cylinder = diameter/2

The radius of the cylinder = 4/2

The radius of the cylinder = 2 meter.

The formula of surface area of cylinder:

S = 2πrh

From the question:

2πrh = 24π

Now putting the value of r

2π × 2 × h = 24π

4πh = 24π

Divide by 4π on both side, we get

h = 6

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The complete question is:

The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.

Answer:

B. y = 1/3x + 4

Explanation:

Given a function whose:

• Slope, m = 1/3

• y-interept, b = 4

To find the equation that describes the function, substitute the given values into the slope-intercept form of a line.

This gives:

The correct equation is option B.

Answer:

Anneke will swim 20 lengths in the 500-meter event,

which means each length of the pool is = 500/20

= 25m

also since Anneke can swim one length in 26.4 seconds on average

hence her average speed is = 25/26.4 m/s

hence after a seconds,

the distance traveled = 25s/26.4 meter

thus, the remaining distance Anneke need to travel is:

m = 500 - (25s/26.4)

The probability of producing more than 36,000 cans per day is approximately 0.0319 or 3.19%.

To calculate the probability of producing more than 36,000 cans per day, we need to use the concept of standard deviation and the normal distribution.

First, we calculate the z-score, which tells us how many standard deviations a value is from the mean. To calculate z-score :

z = (x - μ) / σ

Where:
- x is the value we want to find the probability for (36,000 in this case)
- μ is the mean (30,000 in this case)
- σ is the standard deviation (3,200 in this case)

The following formula can be used to determine the z-score:

z = (36,000 - 30,000) / 3,200 = 6,000 / 3,200 ≈ 1.875

Next, we may determine the probability attached to the z-score using a calculator or a conventional normal distribution table. The region on the standard normal distribution curve to the right of the z-score represents the possibility of manufacturing more than 36,000 cans each day.

Looking up the z-score of 1.875 in a standard normal distribution table, we find that the probability is approximately 0.0319 or 3.19%.

Therefore, the probability of producing more than 36,000 cans per day is approximately 0.0319 or 3.19%.

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The value of the function f (6) will be 32.

What is substitution method?

Find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The value of the function;

f (1) = 1

And, The function is;

f (n) = 2 f (n - 1)

Now, Find the value of the function f (6) as;

Since, The function is;

f (n) = 2 f (n - 1)

Substitute n = 2, we get;

f (n) = 2 f (n - 1)

f (2) = 2 f (2 - 1)

f (2) = 2 f (1)

f (2) = 2 x 1

f (2) = 2

And, Substitute n = 3, we get;

f (n) = 2 f (n - 1)

f (3) = 2 f (3 - 1)

f (3) = 2 f (2)

f (3) = 2 x 2

f (3) = 4

And, Substitute n = 4, we get;

f (n) = 2 f (n - 1)

f (4) = 2 f (4 - 1)

f (4) = 2 f (3)

f (4) = 2 x 4

f (4) = 8

And, Substitute n = 5, we get;

f (n) = 2 f (n - 1)

f (5) = 2 f (5 - 1)

f (5) = 2 f (4)

f (5) = 2 x 8

f (5) = 16

And, Substitute n = 6, we get;

f (n) = 2 f (n - 1)

f (6) = 2 f (6 - 1)

f (6) = 2 f (5)

f (6) = 2 x 16

f (6) = 32

Thus, The value of the function f (6) will be 32.

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Answer:

There are 8 legs for every 4 ears.

There are 2 legs for every 1 ear.

Step-by-step explanation:

The pig and the mouse have a total of 4 ears.

We can count to see that there are 8 legs for every 4 ears.

We want to find a ratio of legs to ears that is equivalent to 8:4

Answer:

23,24,25.

Step-by-step explanation:

Consecutive numbers are numbers following in order. I found them unconventionally by first dividing 72 by 3, which is 24. So if there were 3 24s it would make 72. 23+25 is the same sum as 24+24. Then you add in the middle number, 24 and get 72.

Answer:

The answers are 23, 24, and 25

Step-by-step explanation:

Three consecutive numbers means 3 numbers in a row. So just find three numbers that all add up to 72.

23+24+25=72

Answer:

n=2.56

Step-by-step explanation:

An acute triangle is never equilateral. The reason is that in an acute triangle, all three angles are less than 90 degrees. An equilateral triangle has three equal angles, each measuring 60 degrees. Since all angles of an acute triangle are less than 90 degrees, none of them can be equal to 60 degrees, which is necessary to form an equilateral triangle.

As a result, an acute triangle cannot be equilateral. An acute triangle is a triangle in which all three angles are acute, meaning that each angle is less than 90 degrees. On the other hand, an equilateral triangle is a triangle with three sides of equal length and three equal angles. Since all angles of an acute triangle are less than 90 degrees, none of them can be equal to 60 degrees, which is necessary to form an equilateral triangle.

Therefore, an acute triangle cannot be equilateral. In conclusion, an acute triangle can never be equilateral, because an equilateral triangle requires all three angles to measure 60 degrees, while all three angles of an acute triangle are less than 90 degrees.

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Answer:

24,000 milliliters

Step-by-step explanation:

Because

1 liter = 1000 milliliters

so 24 liters would be 24,000 Milliliters

The derivative of the function f is given by f' (x) = x^2 cos(x^2). There are three points of inflection on the graph of f have on the open interval (-2, 2).

The given function is f'(x) = x²cos(x²).

We are to determine the number of points of inflection in the graph of f on the open interval (-2, 2).To determine points of inflection, we need to find the second derivative of the given function f(x).

Differentiating f'(x) using the product rule, we obtain:

f''(x) = [2xcos(x²) - 2x³sin(x²)]Therefore, f''(x) = 2x[cos(x²) - x²sin(x²)]

We are to determine the number of points of inflection in the graph of f(x) on the open interval (-2, 2). A point of inflection occurs where the second derivative changes sign (from positive to negative or vice versa. On the given interval, f''(x) will change sign whenever 2x = 0 or cos(x²) - x²sin(x²) = 0.

Thus, we have:

2x = 0, then x = 0cos(x²) - x²sin(x²) = 0

At this point, we find the roots of cos(x²) - x²sin(x²) = 0 on the interval (-2, 2). Since there is no algebraic method to find the roots of the transcendental equation, we use a graphing calculator to estimate the roots and intervals where cos(x²) - x²sin(x²) changes sign. Thus, we obtain three intervals where f''(x) changes sign as shown in the figure below;graph{y=x^2cos(x^2) [-20.11, 20.12, -1.5, 1.5]}

Therefore, the graph of f(x) has three points of inflection on the open interval (-2, 2).

Thus, the correct option is Three.

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Answer:

There are a lot of turning point in the history of algebra one of those is the discovery of  the plain and the quadrants by Rene Descartes. This discovery paved way to a lot of knowledge which was later on use in solving other complicated mathematical problems.

Step-by-step explanation:

Answer:

they collected altogether 63204 cans

so,they collected 13204 cans more than desired

1. The width is  7 1/9 feet

2. The number of containers is  10 9/16 containers

3. The length is 15/8 miles

4. 15/184 servings

The formula for determining the area of a rectangle is expressed as;

A = lw

Given that the parameters are;

We have that;

1. Substitute the values

32 = 9/2w

Make the width subject of formula

32× 2/9 = w

Multiply the values

w = 64/9 = 7 1/9 feet

2. To determine the value, we have;

Area = 13/2 × 13/8

Multiply the values

Area = 169/16

Divide the values

Area = 10 9/16 containers

3. The area is 15/56

Width = 1/7

Then

Length = area/width

Length = 15/56 × 7/1

Multiply the values

Length = 15/8 miles

4. We have that;

1 serving = 5/4

then x = 46/3

cross multiply the values

x = 5/4 × 3/46

Multiply the values

x = 15/184 servings

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Answer:

A. Quadratic, degree 2

Step-by-step explanation:

The degree is found by simply finding the term with the power of, that is the highest. Which would be 2x^2. It is raised to the 2nd power, so the degree is 2.

Answer:

19.7 inches

Step-by-step explanation:

The formula for the circumference of a circle of radius r is C = 2πr.  If the diameter is given, then the formula is C = πd.

Here C = 62 in.  Dividing both sides by π yields the diameter:  d = C/π:

       62 in

d = ----------- = 19.7 inches

        3.14

Answer:

b. 19.7

Step-by-step explanation:

did it on the ed2020 practice

Answer:

there are 5 days in a week it rained 2 of the 5 days that making it 40% of the 5 days

Step-by-step explanation:

the center of the ball rests on the table which implies that the y-coordinate of the center of the ball is zero since we have selected the table as the reference plane

the bottom of the ball as its reference point, the y-axis along a vertical line, and the positive direction as pointing upward can be calculated as follows:The y-coordinate of the ball = (y-coordinate of the center of the ball) - (the radius of the ball)As per the given problem, the center of the ball rests on the table which implies that the y-coordinate of the center of the ball is zero since we have selected the table as the reference plane.Hence, the y-coordinate of the ball = 0 - 2= -2Therefore, the y-coordinate of the ball is -2.

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Answer:

y =5

Step-by-step explanation:

2y + 4y = 30

6y = 30

Divide both sides by six

y = 30/6

y = 5

Answer:

= 5

Explain: Combine like terms

3 0 = 2 + 4

30=6y

Divide both sides of the equation by the same term

3 0 = 6

30/6 = 6y/6

Simplify:

1)Divide the numbers

2)Cancel terms that are in both the numerator and denominator

3)Move the variable to the left

= 5

All polynomials are continuous, so the limit can be evaluated by direct substitution:

\(\displaystyle \lim_{x\to-3} (x^3+3x^2+4x-12) = (-3)^3+3(-3)^2+4(-3)-12 = \boxed{-24}\)

The Limit of (x cubed + 3 x squared + 4 x minus 12) as x approaches negative 3 is -24.

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

All polynomials are continuous, so the limit can be evaluated by direct substitution:

\(\lim_{x \to {-3}} x^3 + 3 x ^2+ 4 x - 12\\\\= (-3)^3 + 3 (-3)^2+ 4 (-3)- 12\\\\= -24\)

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Lin working

Elena working

Elena moves will lead to a solution of d which will be equals to zero . Lin working will definitely cancel d on both sides and lead to no solution .

Answer:

B. Austin did not combine -3 and -9 correctly.

Step-by-step explanation:

He solved it like it was 9 - 3 but he needed to solve as -9 - 3.

PLZ THANK AND GIVE FIVE STARS.

AND PLZ GIVE BRAINLIEST.

Answer:

the answer is

b. {-5,0,4,12}

Step-by-step explanation:

domain is x

range is y

hope this helps

Answer:

39°

Step-by-step explanation:

\(angle \: 1 + 2 = 180(co \: interior \: angles \: \:in \: parallel \: lies \: are \: add \: up \: t \: equal \: 180) \\ \)

13x + 24 + 5x -6 = 180

18x+ 18 =180

18x +18 -18 =180-18

18x = 162

18 18

x = 9

Therefore,

m<2 = 5x- 6

= 5(9) -6

= 45-6

= 39°

When writing a decimal number that is less than 1, you must apply the leading zero rule to clarify the decimal point is there.

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Answer:

28

Step-by-step explanation:

\( - (7) \times ( - 4) \\ - ( - 28) \\ - \times - = + \\ = 28\)