How to graph 10x+5y-4

The rate at which the machine crushes dry fruit is option (D) 4 1/3 kilograms per minute.

To find the rate at which the machine crushes dry fruit, we need to divide the amount of fruit crushed by the time taken. We can convert the mixed number of 3 1/4 kilograms to an improper fraction as follows

3 1/4 = (3 x 4 + 1)/4 = 13/4

So the rate at which the machine crushes dry fruit is

rate = amount of fruit crushed / time taken

= (13/4) / (3/4)

= 13/4 x 4/3

= 13/3

Convert to mixed fraction

= 4 1/3

Therefore, the correct option is (D) 4 1/3

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The given question is incomplete, the complete question is:

A processing machine crushes 3 1/4 kilograms of dry fruits in 3/4 minute. What is the rate, in kilograms per minute, at which the machine crushes dry fruit? A. 3/13 B. 16/39 C. 2 7/16 D. 4 1/3

Answer:

First problem:

Area of shaded region:

(1/6)π(9^2) - (1/2)(9)(4.5√3) = 7.4 m^2

Second problem:

Area of shaded region:

(1/3)π(6^2) - 2(1/2)(3)(3√3) = 22.1 cm^2

When you rewrite an addition or subtraction problem using the Distributive Property, you have to factor out both values by a common factor, usually the GCF.

This process involves identifying the common factor (the greatest common factor, or GCF) of the terms and then applying the Distributive Property to rewrite the expression. This common factor can be the greatest common factor (GCF) if it exists, but it does not have to be. The goal is to find a factor that is common to both terms, so that it can be factored out and the expression can be simplified.For example, consider the expression 6 + 8. We can rewrite this using the distributive property by factoring out 2, which is a common factor of both 6 and 8:6 + 8 = 2(3) + 2(4)Then, we can simplify the expression by adding the like terms:2(3) + 2(4) = 6 + 8 = 14Note that in this example, we factored out the common factor 2, which is not the GCF of 6 and 8 (the GCF is 2). However, factoring out 2 allowed us to simplify the expression using the distributive property.

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The age of Alvin is 66 years. Then the age of Elga will be 22 years.

Given that:

Alvin's age is three times Elga's age. The sum of their ages is 88.

Let 'x' be the age of Alvin and 'y' be the age of Elga. Then the equations are given as,

x = 3y                      ...(1)

x + y = 88                ...(2)

From equations (1) and (2), then we have

3y + y = 88

4y = 88

y = 22

Then the value of 'x' is calculated as,

x = 3 × 22

x = 66

The age of Alvin is 66 years. Then the age of Elga will be 22 years.

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Answer:

Alcohol use disorder

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Ru track trio to

Adverb

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The diagonal through the interior of the cube is side CF. Option B

To determine the diagonal of the cube:

We need to know the properties of a cube. These properties are;

From the diagram shown, we have that;

Diagonal through interior of the given cube will be the segments joining the vertices A-H, G-B, C-F and D-E.

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The complete question is:

Which is a diagonal through the interior of the cube

A. Line BE

B. Line CF

C. Line DG

D. Line GF

Answer:

Set your calculator to degree mode.

Using the Law of Sines:

sin(56°)/12 = sin(78°)/x

x sin(56°)/12 = sin(78°)

x = 12sin(78°)/sin(56°) = 14.16

The trigonometric ratio of the angle in radical and decimal form are:

cos 210° = -(√3)/2

sin 210° = -1/2

cos 210° = -0.87

sin 210° = -0.50

There are different trigonometric ratios such as:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

We are given the angle as  θ = 210°. Thus:

cos 210° = -(√3)/2

Negative because it is in the third quadrant.

sin 210° = -1/2

Negative because it is in the third quadrant.

Similarly, those angles in decimals to the nearest hundredth are:

cos 210° = -0.87

sin 210° = -0.50

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Answer:

Step-by-step explanation:

This is a binomial problem where the basketball player has a probability of success of 0.725 (making a free throw) and is attempting 60 shots. The number of successful shots is a binomial random variable X ~ Bin(60, 0.725). We need to find the probability that she makes at least 15 of her next 60 shots, which is P(X ≥ 15). This can be computed using the binomial cumulative distribution function (CDF) as follows:

P(X ≥ 15) = 1 - P(X < 15) = 1 - binom.cdf(14, 60, 0.725) ≈ 0.998

Therefore, the probability that she makes at least 15 of her next 60 shots is approximately 0.998.

This is also a binomial problem where the probability of success is 0.14 (a smartphone requiring servicing) and the number of trials is 100 (smartphones in a shipment). We need to find the probability that no more than 10 smartphones in the shipment will require servicing, which is P(X ≤ 10). This can be computed using the binomial CDF as follows:

P(X ≤ 10) = binom.cdf(10, 100, 0.14) ≈ 0.289

Therefore, the probability that no more than 10 smartphones in the shipment will require servicing is approximately 0.289.

This is also a binomial problem where the probability of success is 0.06 (a scratch-off lottery ticket having a prize of a free ticket) and the number of trials is 200 (tickets at the local convenience store). We need to find the probability that this prize is on 15 or more of the tickets, which is P(X ≥ 15). This can be computed using the binomial CDF as follows:

P(X ≥ 15) = 1 - P(X < 15) = 1 - binom.cdf(14, 200, 0.06) ≈ 0.021

Therefore, the probability that the prize is on 15 or more of the 200 tickets at the local convenience store is approximately 0.021.

The cost of a piece of cheese weighing 1.76 pounds at a cost of $8.99 per pound using unitary method is $15.86.

To use unitary method, we can set up a proportion that relates the cost of the cheese to its weight

Cost of cheese / Weight of cheese = Cost per unit of weight

We know that the cost per unit of weight is $8.99 per pound. To find the cost of a piece of cheese weighing 1.76 pounds, we can plug in the values we know and solve for the unknown

Cost of cheese / 1.76 pounds = $8.99 per pound

Multiplying both sides by 1.76 pounds, we get

Cost of cheese = $8.99 per pound × 1.76 pounds

Simplifying the right side, we get:

Cost of cheese = $15.8624

Rounding to two decimal places, the cost of the cheese is $15.86. Therefore, a piece of cheese weighing 1.76 pounds would cost $15.86.

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Answer: Yes, a triangle can be constructed with sides of 2/3, 4/5, and 1/2

To determine if a triangle can be constructed, we need to check if the sum of the two smaller sides is greater than the largest side. In this case, 2/3 + 1/2 > 4/5, 2/3 + 4/5 > 1/2, and 1/2 + 4/5 > 2/3, so a triangle can be formed.

Step-by-step explanation: Sincerely, answered by Lizzy ♡ :: as an A+ student, I want to make sure other students can succeed as well, so in my free time: i answer questions like yours on Brainly! if you could click the thanks heart, give me brainliest by clicking the crown, and rate my answer 5 stars, it would be appreciated! have a lovely day! (ᵔᴥᵔ)

For n = 421, find its square root: √421 ≈ 20.52. There are 8 prime numbers less than or equal to 20.52: 2, 3, 5, 7, 11, 13, 17, and 19. Testing for divisibility, 421 is not divisible by any of these prime numbers, so n = 421 is prime.

To test whether 323 is prime, we need to find the prime numbers less than or equal to its square root. The square root of 323 is approximately 17.97, so we need to find the prime numbers less than or equal to 17. The prime numbers less than or equal to 17 are 2, 3, 5, 7, 11, 13, and 17. We can check whether 323 is divisible by any of these numbers. If it is not divisible by any of them, then it is prime.

323 is divisible by 17, so it is not prime.

To test whether 421 is prime, we need to find the prime numbers less than or equal to its square root. The square root of 421 is approximately 20.52, so we need to find the prime numbers less than or equal to 20. The prime numbers less than or equal to 20 are 2, 3, 5, 7, 11, 13, 17, and 19. We can check whether 421 is divisible by any of these numbers. If it is not divisible by any of them, then it is prime.

421 is not divisible by any of these numbers, so it is prime.
For n = 323, first find its square root: √323 ≈ 17.97. There are 7 prime numbers less than or equal to 17.97: 2, 3, 5, 7, 11, 13, and 17. Testing for divisibility, 323 is divisible by 17 (323 = 17 * 19), so n = 323 is not prime.

For n = 421, find its square root: √421 ≈ 20.52. There are 8 prime numbers less than or equal to 20.52: 2, 3, 5, 7, 11, 13, 17, and 19. Testing for divisibility, 421 is not divisible by any of these prime numbers, so n = 421 is prime.

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The probability that the customer will select two tickets with discounts of $3 and $5 is $1/9 or approximately $0.111.

The study of random occurrences or phenomena falls under the category of probability, which is a branch of mathematics. It represents the probability of an event happening. A number between 0 and 1, where 0 denotes impossibility and 1 denotes certainty, is used to symbolize it. By dividing the number of favorable outcomes by the total number of potential outcomes, the probability of an occurrence is determined. Numerous disciplines, including science, engineering, finance, economics, and social sciences, to mention a few, make extensive use of probability theory.

Since the customer selects a ticket, replaces it, and selects another ticket, the two selections are independent events. The probability of selecting a $3 discount ticket on the first meal is $1/3, and the probability of selecting a $5 discount ticket on the second meal is also $1/3.Therefore, the probability of selecting both a $3 and a $5 discount ticket is:

[tex]\frac{1}{3} . \frac{1}{3} = \frac{1}{9}[/tex]

​

So the probability that the customer will select two tickets with discounts of $3 and $5 is $1/9 or approximately $0.111.

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The area of the trapezoidal shaped patio is 23.5 square feet.

Given that, The length of the longer base of a trapezoid is 17 feet.

The length of the shorter base is two feet less than half the longer base.

The shorter base = 1/2 ×17 -2

= 6.5

The formula for the area of a trapezoid is expressed as, A = ½ (a+b)×h.

where (A) is the area of a trapezoid, 'a' and 'b' are the bases (parallel sides), and 'h' is the height (the perpendicular distance between a and b).

Here, the area = 1/2 (17+6.5)×2

= 23.5 square feet

Therefore, the area of the trapezoidal shaped patio is 23.5 square feet.

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Answer:

Step-by-step explanation:

The surface area of a sphere is given by the formula:

Surface Area = 4πr^2

where r is the radius of the sphere.

For Titan, with a radius of 2575 kilometers, the surface area would be:

Surface Area = 4π(2575)^2

Surface Area ≈ 8.34 x 10^7 square kilometers

Rounding to the nearest tenth, the surface area of Titan is approximately 8.3 x 10^7 square kilometers.

The piecewise function can be defined as, f(x) = x+3, if x<0 and f(x) =3, if  x≥0, Option B is correct.

We have,

A relation is a function if it has only One y-value for each x-value.

From the given figure it is easily noticed that the function is increasing in nature for x<0 and the function is constant in nature for x>0 because the value of y remains unchanged for any value of x, where x≥0

The value of function is 3 at x=0.

The value of the function is always 3 for all x≥0 .

f(x)=3 for x≥0

The function is a straight line with intercepts (-3,0) and (0,3).

slope = 3-0/0+3

=1

Let us find the y intercept

0=1(-3)+b

b=3

Now equation is y=x+3

For x<0, the function is,

f(x)=x+3

Therefore the piecewise function can be defined as, f(x) = x+3, if x<0 and f(x) =3, if  x≥0.

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The drive-thru is able to estimate their wait time more consistently will be;

⇒ Super Fast Food , because it has a smaller IQR.

Since, The range of values in the middle of the scores is known as the interquartile range, or IQR.

The appropriate measure of variability is the interquartile range when a distribution is skewed and the median is used instead of the mean to show a central tendency.

Since, IQR is the difference between the third quartile and the first quartile, which is represented by the box in the box plot.

Now, In this case, the IQR for Burger Quick is,

15.5 - 8.5 = 7.0,

while the IQR for Fast Chicken is,

14.5 - 10 = 4.5.

Hence, A smaller IQR indicates that the data is more consistent and less spread out.

Thus, The correct option here is Super Fast Food, because it has a smaller IQR (Interquartile Range).

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The equation of the cost of renting a bicycle given by Krissy is non-proportional.

Here we see that the function Krissy wrote was

y = 5x + 15.

A function is called a proportional function if y/x is some fixed constant. This means, rearranging the equation should give us

y/x = k, where k is some constant.

Here we have,

y = 5x + 15

Dividing both sides by x will give us

y/x = 5 + 15/x

Now, clearly RHS is not a constant as it has a variable x present. Hence the function is non-proportional.

Another way to check the proportionality of a function is to check whether the function is in the form of

y = cx, where c is a constant. Here, there should not be added or subtracted constant with x. On the concerned equation, RHS had an additional constant of + 15.

Hence, the equation given by Krissy is a non-proportional function.

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Complete Question

(Image Attached)

The answer to this would be 3

The expression which are equals to 6⁻¹⁰ are as follow,

option A. (1 /6² )⁵ , Option b. 6⁻³ / 6⁷ , Option ( 6⁻⁵ )².

The expression is equal to,

6⁻¹⁰

Simplify all the given options to find the equivalent expression to 6⁻¹⁰.

(1 /6² )⁵

Apply law of exponent here,

= ( 1 / 6¹⁰)

= 6⁻¹⁰

Option A. is correct answer.

6⁻³ / 6⁷

Apply law of exponent we get,

= 6⁻³⁻⁷

= 6⁻¹⁰

Option B. is correct answer.

( 6⁵ × 6⁻³ )/ 6⁻⁸

= 6⁵⁻³⁺⁸

= 6¹⁰

It is not the correct answer.

( 6⁻⁵ )²

Apply law of exponent here

= 6⁻¹⁰

Option D. is the correct answer.

6⁻⁵ × 6²

= 6⁻³

It is not correct option.

Therefore, the expression equivalent to the given expression are option A. (1 /6² )⁵ , Option b. 6⁻³ / 6⁷ , Option ( 6⁻⁵ )².

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Answer:

the picture ain't clear.

Solving multi-step equations involves systematically isolating the variable through algebraic operations. In terms of the 'digital puzzle', it would require the matching of solved multi-step equations with their solutions, providing a practical method of practicing algebra skills.

Based on your question, it appears you are working on a multi-step equation puzzle. In solving multi-step equations, it is important to systematically isolate the variable. For example, if you have a multi-step equation like 3x + 2 = 14, you would first subtract 2 from both sides and then divide by 3 to get x = 4, which is the solution. Each step involves an algebraic operation, and the aim is to simplify the equation to reach your final answer.

The mentioned 'digital puzzle' is most likely an interactive activity where you have to match these multi-step equations with their corresponding solutions. Simply solve each equation and drag the solution to its corresponding equation. This is a great way to practice algebra skills.

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For a 180-degree central angle on a circle with a radius of 1 unit, the arc length is:

Arc length = (180 degrees) * (pi) * (radius)

= 180 * 3.1415 * 1

= 562.8

So the arc length for a 180-degree central angle on a circle with a radius of 1 unit is 562.8 units.

In general, for any central angle θ on a circle with radius r, the arc length is:

Arc Length = θ * π * r

So for:

θ = 270 degrees, arc length = 851.96

θ = 180 degrees, arc length = 562.8

θ = 90 degrees, arc length = π * r = 3.1415 * 1 = 3.1415

etc.

Step-by-step explanation:

For a RIGHT triangle such as this :

Sin Φ  =  opposite leg / hypotenuse

sin (47) = AB/5.7

5.7 sin (47) = AB = 4.17 m

Where the above conditions are given, the correct graph is "a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled sprinkles going to a value of 17, the second bar labeled nuts going to a value of 12, the third bar labeled hot fudge going to a value of 27, and the fourth bar labeled chocolate chips going to a value of 44" (Option A)

We must examine the data to choose the best graph for this case. In this scenario, the toppings have a link with the amount of clients that choose each flavor.

We may conclude that the best choice is A based on the amount of persons who like each topping in the order in which the table organizes them.

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If the value of cost of a college education today is ₹ 9,422. 92, the first payment to Mayank's child's college fund should be ₹ 2,447.22.

To determine the amount of the first payment to Mayank's child's college fund, we need to calculate the present value of all the payments discounted at a rate of 14%.

We can start by calculating the future value of the 17 payments based on the annual increase of 4%. Using the formula for the future value of an annuity, we get:

FV = Payment * [(1 + r)ⁿ⁻¹] / r

where r is the annual increase rate (4%), n is the number of payments (17), and Payment is the amount of the first payment.

FV = Payment * [(1 + 0.04)¹⁷⁻¹] / 0.04

FV = Payment * 21.6019

Next, we can calculate the present value of the future payments using the formula for the present value of an annuity:

PV = FV / (1 + r)ⁿ

where r is the discount rate (14%) and n is the number of payments (17).

PV = FV / (1 + 0.14)¹⁷

PV = FV / 5.616

Substituting the value of FV, we get:

PV = Payment * 21.6019 / 5.616

PV = 3.8514 * Payment

Finally, we can solve for the value of Payment by dividing the present value of the payments by 3.8514:

Payment = PV / 3.8514

Payment = ₹ 9,422.92 / 3.8514

Payment = ₹ 2,447.22

In summary, Mayank can afford to make 17 payments to his child's college fund, increasing by 4% every year.

By discounting the future payments at a rate of 14%, the present value of all payments can be determined, and the amount of the first payment can be calculated using the formula for the present value of an annuity. The first payment should be ₹ 2,447.22.

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The place value of 3 in this number be ten.

Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.

The number 42,316 is different from 61,432 because the digits are in different positions.

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.

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Answer:

i think i know 4 and 5

Step-by-step explanation:

for 5 is A,G

and for 4 its D,F

Answer:

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

Step-by-step explanation:

because its fun

The probability of getting heads= 1/2

The probability of getting tails = 1/2

To determine the outcome of a possible event (probability) the formula stated below should be used.

Probability = possible outcome/sample space

When a coin is tossed 50 times the sample space ,= 100

The possible outcome for heads = 50

probability = 50/100 = 1/2

The probability for tails = 50/100 = 1/2.

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Here are three values that would make the inequality 7n ≤ 21 true are found out to be n = 0, n = 1 and n = 3.

The inequality 7n ≤ 21 means that the product of 7 and n is less than or equal to 21. To make this inequality true, we need to find values of n that satisfy this condition.

If we substitute n = 0, we get 7(0) = 0, which is less than or equal to 21. Therefore, the inequality is true for n = 0.

If we substitute n = 1, we get 7(1) = 7, which is less than or equal to 21. Therefore, the inequality is true for n = 1.

If we substitute n = 3, we get 7(3) = 21, which is equal to 21. Since 21 is also less than or equal to 21, the inequality is true for n = 3.

Note that there are many other values of n that would also make the inequality true, such as any value of n less than or equal to 3.

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