Sophie bought snacks for her team's practice. She bought a bag of chips for $2.49 anda 12-pack of juice bottles. The total cost before tax was $27.57. Write and solve anequation which can be used to determine x, how much each bottle of juice costs?

Answer:

Can't be done

Step-by-step explanation:

3a = 9 divide both sides by 3

a = 3

that is not equivalent to a = 1

can't be done

Answer:

They aren't equivalent; a = 3

Step-by-step explanation:

If a = 1, then the expression will show:

3(1) = 9

3 × 1 does not equal 9.

3 × 3 equals 9.

The expression and variable are not equivalent.

A must equal 3 to be equivalent as that's the only was to equal 9 from this expression.

The expression for diagonal of a rectangle is d= √ (a2 + b2).

Consider a rectangle PQRS in which let PR and QS be the diagonals.

Then, there are two triangles obtained and they are ΔRPS and ΔRPQ

The angle that is common between the two triangles is ∠p

The common side is PQ

Hence, PS=QR

Therefore, ΔRPS≅ΔRPQ

Also, QS=PR the diagonals of a rectangle are equal in length.

By using the Pythagorean theorem, the length of the diagonal of rectangle is                   d = √ (l2 + w2)

From the given data the length of the rectangle(l) PQ =a

The width of the rectangle(w) QR = b

Hence the expression for diagonal of rectangle is d= √ (a2 + b2).

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Answer:

The formula for a rectangle's diagonal is d=(a2 + b2).

Step-by-step explanation:

Let PR and QS be the diagonals of the rectangle PQRS.

Following that, two triangles—RPS and RPQ—are obtained.

The common angle between the two triangles is p.

PQ is the common side.

So, PS=QR.

Consequently, RPSRPQ

A rectangle's diagonals are also equal in length since QS=PR.

The Pythagorean theorem shows that d = (l2 + w2) is the length of the diagonal of a rectangle.

The length of the rectangle (l) PQ =a from the provided data

Rectangular width (w) = QR = b

Therefore, d=(a2 + b2) is the expression for the diagonal of a rectangle.

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The maximum area that the 60 m can enclose is 225m², the dimensions of the maximal region are 15m x 15m, and the height as an fcn of the base is 30 - b.

Let the base of the rectangular region be "b",

and the height be "h" and,

it is given that the perimeter of the rectangular region = 60m

(a) write height as an fcn of base

by using the formula of the perimeter of a rectangle,

2(h+b) = 60m

we can write, h = 30 - b

⇒Area of the rectangular region

area(A) = height × base

substituting the value of h.

= (30 - b) × b

thus, A(b)= 30b - b²

to find the maximum area that the 60 m can enclose

\(\frac{dA(b)}{db}\) should be equal to 0.

substituting the value of A(b).

30 - 2b = 0

thus, b = 15

maximum area = 30b - b²

substituting the value of b.

= (30 × 15) - 15²

thus, maximum area = 225m².

dimensions of the maximum region,

for maximum area height = base = 15m

thus, the dimensions of the maximum rectangular region are 15m x 15m.

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The number of people who waited at least 6 minutes is given as follows:

50 people.

The height of each bin of the histogram represents the number of observations of the data-set in the desired interval.

The desired outcomes for this problem are given as follows:

Hence the number of people who waited at least 6 minutes is given as follows:

20 + 15 + 10 + 5 = 50 people.

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The series of 0s and 1s representing data or instructions is called binary code. It is the foundation of digital communication and computing systems. Each binary digit, or bit, can be thought of as a switch that is either off (0) or on (1), allowing for the representation of complex information.

Binary code is a system used to represent data or instructions using only two symbols: 0 and 1. It is the foundation of digital communication and computing systems. Each digit in binary code is called a bit, which is short for "binary digit." Bits can be thought of as switches that can be in one of two states: off (0) or on (1).

By arranging these bits in different patterns, we can represent and manipulate complex information. For example, in binary code, the letter "A" is represented as 01000001. This binary representation allows computers to process and store information using electronic circuits that can easily interpret and manipulate 0s and 1s.

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Answer:

a

Step-by-step explanation:

yeah-ya............ right?

The cοrrect statement is "The greater the value οf the base, the greater the functiοn's rate οf grοwth"

An expοnential functiοn is a mathematical functiοn οf fοrm f(x) = abˣ,

where a and b are cοnstants, and x is the variable.

The base b is a pοsitive cοnstant and is typically greater than 1. The expοnent x represents the degree οf grοwth οr decay οf the functiοn.

Expοnential functiοns are cοmmοnly used tο mοdel grοwth οr decay in variοus real-wοrld phenοmena, such as pοpulatiοn grοwth, cοmpοund interest, radiοactive decay, and the spread οf disease.

When b is greater than 1, the functiοn represents expοnential grοwth. As x increases, the functiοn grοws at an increasing rate.

When b is between 0 and 1, the functiοn represents expοnential decay. As x increases, the functiοn decays at a decreasing rate.

Therefοre,

The cοrrect statement is "The greater the value οf the base, the greater the functiοn's rate οf grοwth".

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The package weighs approximately 10.9 pounds.

Let's assume the weight of the package in pounds is "x". We can break down the cost of sending the package by media mail into three parts:

1. The cost for the first pound: $2.41.

2. The cost for the additional pounds up to six pounds: $0.41 per pound.

3. The cost for the additional pounds beyond six pounds: $0.39 per pound.

To determine the weight of the package, we need to solve the equation based on the given information:

Cost = $2.41 + $0.41 * (x - 1) + $0.39 * (x - 7)

We know that the cost of sending the package is $7.99, so we can set up the equation as follows:

$7.99 = $2.41 + $0.41 * (x - 1) + $0.39 * (x - 7)

Now, we can solve this equation to find the value of "x," which represents the weight of the package.

$7.99 - $2.41 = $0.41 * (x - 1) + $0.39 * (x - 7)

$5.58 = $0.41x - $0.41 + $0.39x - $2.73

$5.58 = $0.8x - $3.14

$0.8x = $8.72

x ≈ 10.9

Therefore, there are around 10.9 pounds in the bundle.

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Answer:10.9

Step-by-step explanation:

Answer:

Not arithmetic

Step-by-step explanation:

the difference of successive terms in arithmetic sequences should be the same. notice that:

1/3-1/2 =/= 1/3 - 1/4

so it's not arithmetic.

this sequence is known as the harmonic sequence, and its sum diverges.

The required probability for randomly selected students spend between $300 and $400 on clothing in a year is equal to 0.6730 or 67.30% (approximately ).

For a normal distribution with a mean (μ) of $340

And a standard deviation (σ) of $50.

Let X be the amount of money spent on clothing by a randomly chosen student.

Probability that a randomly chosen student will spend between $300 and $400 on clothing in a year,

P(300 < X < 400)

Standardize the distribution by converting the given values to z-scores, using the formula,

z = (X - μ) / σ

For the lower limit, we have,

z1 = (300 - 340) / 50 = -0.8

For the upper limit, we have,

z2 = (400 - 340) / 50 = 1.2

Area under the standard normal distribution curve between these two z-scores.

Standard normal distribution table

Probabilities, or use the properties of the normal distribution to calculate it as,

P(-0.8 < Z < 1.2)

= P(Z < 1.2) - P(Z < -0.8)

Using a standard normal distribution table we have,

P(Z < 1.2) ≈ 0.8849

P(Z < -0.8) ≈ 0.2119

Substituting these values in the above equation, we get,

P(-0.8 < Z < 1.2)

≈ 0.8849 - 0.2119

≈ 0.6730

Therefore, the probability that a randomly chosen student will spend between $300 and $400 on clothing in a year is approximately 0.6730 or 67.30%.

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Answer: (x+7)(7x+2)

Step-by-step explanation:

Answer: 7x²+51x+14=(x+7)(7x+2)

Step-by-step explanation:

\(7x^2+51x+14=\\7x^2+49x+2x+14=\\(7x^2+49x)+(2x+14)=\\7x*(x+7)+2*(x+7)=\\(x+7)*(7x+2)\)

The total amount spent buying ham and cheese is $187.20

What is the total cost of each item?

The total cost of each item can be determined as the price multiplied by the quantity bought

quantity of ham bought=x+4

quantity of cheese bought=x-3

price per pound of ham=$6.24

price per pound of cheese=$4.80

total amount spent on ham=(x+4)*6.24

total amount spent on ham=6.24x+24.96

total amount spent on cheese=(x-3)*4.80

total amount spent on cheese=4.80x-14.40

If the individual spent twice on as much on ham than cheese, it means that amount on ham is equals twice of the one spent on cheese

6.24x+24.96=2(4.80x-14.40)

6.24x+24.96=9.60x-28.80

24.96+28.80=9.60x-6.24x

53.76=3.36x

x=53.76/3.36

x=16

total amount spent=6.24x+24.96+4.80x-14.40

total amount spent=6.24(16)+24.96+4.80(16)-14.40

total amount spent=$187.20

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Interchange x and y

\(\\ \rm\Rrightarrow x=4^y+2y\)

Find y

\(\\ \rm\Rrightarrow 4^y=\dfrac{x}{2y}\)

take log on both

\(\\ \rm\Rrightarrow ln4^y=ln\dfrac{x}{2y}\)

\(\\ \rm\Rrightarrow yln4=lnx-ln2y\)

\(\\ \rm\Rrightarrow yln4-ln2y=lnx\)

\(\\ \rm\Rrightarrow yln4-ln2-lny=lnx\)

\(\\ \rm\Rrightarrow yln4-lny=lnx+ln2\)

Inverse not possible to find

The length and width of the plot that will maximize the area is 60 meters by 120 meters. The largest area that can be enclosed is 7200 square meters.

To maximize the area of the rectangular plot, Farmer Ed must use 9000 meters of fencing to enclose three sides of the plot. The fourth side, which borders the river, does not need to be fenced. To find the length and width of the plot that will maximize the area, the 9000 meters of fencing must be divided into two sides of equal length, with the remaining fencing used for the third side. This results in a length of 120 meters and a width of 60 meters, which maximizes the area of the plot. The largest area that can be enclosed is 7200 square meters.

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Answer:

Step 1: The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula. Step 2: Now, to find the fifth term, substitute n = 5 into the equation for the nth term.

20% wore a blue shirt

Answer:

20% student wore blue shirts

Step-by-step explanation:

Answer: A

Step-by-step explanation:

3/5 = 60%

A, Rosa has 7/12 which is about 58%

B, Rosa has 6/12, which is 50%

C, Rosa has 9/12 which is 75%

D, Rosa has 8/12 which is 66%

A would be the closest.

True. The Monte Carlo simulation is a technique that uses random sampling to simulate real-life scenarios. It can be used to represent a long period of real-time by using a short period of simulated time.

This is because the simulation can generate a large number of random samples, which can provide a comprehensive picture of the possible outcomes in a shorter time frame.
The Monte Carlo simulation is a technique that can be used to represent a long period of real-time by a short period of simulated time. The statement is true. Monte Carlo simulations use random sampling and statistical models to estimate the probabilities of different outcomes, allowing for the analysis of complex systems over a long period of real-time in a shorter simulated time.

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Liquid detergent do I have left is 8/9.

What is detergent ?

When washing items like clothing or dishes, detergent is a chemical compound that is often in the form of a powder or liquid. Alternatives include washing liquid, soap powder, and cleaner. More detergent synonyms. More detergent synonyms.

I have 2/3 L (litre) of liquid detergent. I ued 3/4 of thi to wah my heet on the weekend.

\(\frac{\frac{2}{3}}{\frac{3}{4}}$$\)

Apply the fraction rule: \($\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a \cdot d}{b \cdot c}$\)

\(=\frac{2 \cdot 4}{3 \cdot 3}$$\)

Multiply the numbers: 2-4=8

\(=\frac{8}{3 \cdot 3}$$\)

Multiply the numbers: 3-3=9

\(=\frac{8}{9}$$\)

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Answer:

below

Step-by-step explanation:

The INTERIOR angles of a n-gon   sum to   ( n-2)(180)

   for an octogon  (8-2)(180) = 1080 °

       so each INTERIOR angle = 1080 / 8 = 135°

 Exterior angles are supplementary to this   135 + x = 180     x = 45°

Another easier way    exterior angles sum to 360

   360 / 8 = 45°

Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.

Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.

To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.

Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:

Distance = Speed × Time

Plugging in the values, we have:

Distance = 3 mph × 3 hours

Distance = 9 miles

Therefore, Jada will walk a distance of 9 miles after 3 hours.

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The given information is as follows:

Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.

Therefore, Jada will walk 9 miles after 3 hours.

The distance covered by Jada after 3 hours can be calculated as follows:

Distance = Speed x Time

Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:

Distance covered by Jada = 3 mph x 3 hours

= 9 miles.

Therefore, Jada will walk 9 miles after 3 hours.

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Answer:

Step-by-step explanation:

Angle formed by two tangents is equal to half of the difference of intercepted arcs:

The sum of the same two arcs is a full circle:

Add the two equations together:

Correct choice is C

The cost of building a house with the area 5,425 square feet is $763,125.

The given function is C(x)=85,000+125x.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, x represents the area of a house is 5,425 square feet.

Put x=5425 in the given function, that is

The total cost = C(5425)=85,000+125 × 5425

= $763,125

Therefore, the cost of building a house with the area 5,425 square feet is $763,125.

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Answer:

I believe cubic function

Step-by-step explanation:

the x^3 represents a cubic function

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:-94 i took the quiz/test

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(19.8(1.098)(1.051)\approx 22.8 tons\)

Answer:

247

Step-by-step explanation:

From the question given above, the following data were obtained:

nth term (Tₙ) = 5n – 3

Number of term (n) = 50

50th term (T₅₀) =?

The 50th term can be obtained as follow:

Tₙ = 5n – 3

T₅₀ = 5(50) – 3

T₅₀ = 250 – 3

T₅₀ = 247

Therefore, the 50th term is 247.