please help would be amazing

Please Help Would Be Amazing

Answers

Answer 1
The solution is (9, 8) x=9 y=8
Answer 2

Answer:

(9,8)

Step-by-step explanation:

Solve the first equation

then solve the second equation with the substitute number from the first equation.  


Related Questions

Question 90
The quality of milk reaching the ultimate consumer is largely determined
a. at the plant, where processing and handling occurs
b. at the farm, where the milk is processed
c. by the USDA through stringent testing and laboratory analysis
d. by the FDA in accordance with Federal regulations

Answers

The quality of milk reaching the ultimate consumer is largely determined at the plant, where processing and handling occurs. a

Once milk is collected from the farm, it is transported to processing plants where it undergoes a series of treatments to ensure that it is safe for consumption.

This includes pasteurization, homogenization, and standardization.
The pasteurization process involves heating the milk to a specific temperature for a certain amount of time to kill harmful bacteria.

Homogenization helps to evenly distribute the milk's fat content, while standardization ensures that the milk meets certain regulatory requirements for fat content and nutritional value.
The plant, milk undergoes rigorous quality control testing to ensure that it meets certain standards.

This includes testing for bacterial count, somatic cell count, and antibiotic residue.

Any milk that fails to meet these standards is discarded.
The USDA and FDA also play a role in ensuring that milk reaching consumers is of high quality.

The USDA sets standards for milk production, while the FDA regulates the use of antibiotics and other drugs in milk production.

The primary responsibility for ensuring milk quality rests with the processing plant.
The USDA and FDA do play a role in ensuring the quality of milk reaching consumers, the majority of the responsibility lies with the processing plant.

It is at the plant where the milk undergoes treatments to ensure that it is safe for consumption and undergoes rigorous quality control testing to meet certain standards.

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What is the name corresponding to the metric symbol mL?

Answers

Millileter is the name of mL

is it possible for the range of a data set of positive data values to be less than the mean of that data set?​

Answers

Yes, it is possible for the range of a data set of positive data values to be less than the mean of that data set.

How to find range of the data?

The range of a data set is the difference between the maximum and minimum values in the data set, while the mean (also known as the average) of a data set is the sum of all the values divided by the total number of values.

For example, consider the following data set of positive values: {2, 3, 5, 7, 9}. The range of this data set is 9 - 2 = 7, while the mean is (2 + 3 + 5 + 7 + 9)/5 = 26/5 = 5.2. In this case, the range (7) is less than the mean (5.2).

This can occur when the data set has a relatively small range, meaning that the difference between the maximum and minimum values is not very large compared to the mean.

the distribution of the data set and the specific values within it can affect the relationship between the range and the mean.

It's important to note that range and mean are just two measures of central tendency and variability, and other measures such as median, mode, and standard deviation can provide additional insights into the characteristics of a data set.

therefore, Yes, it is possible for the range of a data set of positive data values to be less than the mean of that data set.

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Pls help me i really need help

Answers

only the equation y=1/x shows an indirect proportional relationship, while the other three equations show either a direct proportional or a linear relationship.

How to solve the question?

The mathematical term "indirectly proportional" refers to a relationship in which two variables are related in such a way that when one increases, the other decreases, and vice versa. In other words, the two variables vary in opposite directions.

Out of the four equations given, only one shows an indirect proportional relationship. This equation is:

y=1/x

In this equation, y and x are indirectly proportional. As x increases, the value of 1/x decreases, and therefore, the value of y decreases as well. Similarly, as x decreases, the value of 1/x increases, and the value of y increases as well. This relationship is commonly known as an inverse relationship, where the two variables vary in opposite directions.

On the other hand, the other three equations do not show an indirect proportional relationship. The equation y=5x shows a direct proportional relationship, where y increases as x increases and vice versa. The equation y=-2x+1 is a linear equation with a negative slope, where y decreases as x increases, and y increases as x decreases. Lastly, the equation y=3x+5 is also a linear equation with a positive slope, where y increases as x increases, and y decreases as x decreases.

In summary, only the equation y=1/x shows an indirect proportional relationship, while the other three equations show either a direct proportional or a linear relationship.

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A experiment involves flipping a coin and a dice. What is the probability for rolling a even number and landing on tails

Answers

The probability of rolling an even number on a dice is 1/2, since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes (1, 2, 3, 4, 5, and 6).

The probability of landing on tails when flipping a coin is also 1/2, since there are only two possible outcomes (heads or tails) and they are equally likely.

To find the probability of both events happening together, we need to multiply their probabilities:

1/2 (probability of rolling an even number) x 1/2 (probability of landing on tails) = 1/4

Therefore, the probability of rolling an even number on a dice and landing on tails when flipping a coin is 1/4 or 0.25 (25%).

~~~Harsha~~~

A population of 752,000 people decreases at a rate of 1.4% each year. What will be the population after 18 years?

Answers

Answer:

562496

Step-by-step explanation:

i think

Answer:189504

Step-by-step explanation:

To get the 1.4% of population you need to multiply it like this: 752000 × 1.4% = 10528.

10528 is the population decrease every year, to find the population decrease after 18 years you need to multiply it again like this: 10528 × 18 = 189504.

189504 is the population decrease after 18 years.

The island has a population of 12175 people. Find the population density in people per square kilometer

Answers

Answer: the population density is approximately 121.75 people/km^2.

Step-by-step explanation: Assuming a scenario whereby the island in question is entirely populated and encompasses a total expanse of 100 square kilometers, it follows that the resulting population density would be as follows:

The formula for population density can be expressed as the ratio of total population to a given geographic area. Mathematically, it is written as Population density = Population / Area.

The metric for measuring population density yields a value of 121.75 individuals per hectare.

The metric expressing the number of individuals residing in a given geographic area is referred to as population density. In this specific instance, the population density is calculated to be 121.75 persons per square kilometer.

Assuming a complete occupancy of the island and a cumulative surface area of 100 square kilometers, it can be posited that...

Using the graphing function on your calculator, find the solution to the system of equations shown below. 4y + 12x = 10 2y - 6x = -8 A. No solution B. More than 1 solution C. x = 13/12, y = -3/4 D. x = -6, y = 2

Answers

Therefore, the solution to the system of equations is: x = 13/12, y = -3/4 that is option C.

What is equation?

In mathematics, an equation is a statement that asserts the equality of two expressions, separated by an equals sign (=). The expressions on either side of the equals sign are referred to as the left-hand side (LHS) and the right-hand side (RHS) of the equation. Equations are used to describe relationships between variables and to solve problems.

Here,

To solve the system of equations:

4y + 12x = 10 ...(1)

2y - 6x = -8 ...(2)

We can use the method of elimination or substitution.

Method of elimination:

We can eliminate x by multiplying equation (2) by 2 and adding it to equation (1) to obtain:

4y + 12x = 10

(4y - 12x = -16)

8y = -6

Dividing both sides by 8, we get:

y = -6/8

y = -3/4

Substituting this value of y in equation (1), we get:

4(-3/4) + 12x = 10

Simplifying and solving for x, we get:

-3 + 12x = 10

12x = 13

x = 13/12

So the answer is C. x = 13/12, y = -3/4.

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Tina collects cans to recycle at the supermarket. Last week, on Monday,Wednesday and Thursday , she collected 37 cans each day. On Tuesday,Friday,Saturday and Sunday sh collected 43 cans each day. Tina gets 5 cents for every can she recycles

Answers

If on Tuesday, Friday,  Saturday, and Sunday, she collected 43 cans each day. Tina got $14.15 for her cans last week.

Tina collected 37 cans on Monday, Wednesday, and Thursday, which is a total of 37 x 3 = 111 cans. She collected 43 cans on Tuesday, Friday, Saturday, and Sunday, which is a total of 43 x 4 = 172 cans. The total number of cans she collected last week is 111 + 172 = 283 cans.

Since Tina gets 5 cents for every can she recycles, she made 5 x 283 = $14.15 for recycling all of the cans she collected last week.

Therefore, Tina got $14.15 for her cans last week.

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Complete question is:

Tina collects cans to recycle at the supermarket. Last week, on Monday, Wednesday and Tursday, she collected 37 cans each day. On Tuesday, Friday,  Saturday, and Sunday, she collected 43 cans each day. Tina gets 5 cents for every can she recycles.  How much money did Tina get for her cans last week?

Question 4 (1 point)
A sixth-grade class collected data on the number of siblings in the class. Here is the dot plot of the data they collected.

What amount of siblings occurred most often? (What is the mode)

Answers

3 because 3 has the most dots

The car completes 4 whole rotations in a time period of 2 minutes.
Write a function rule that could model this situation? Explain how you came up with the equation.

Answers

The cosine function that could model the height of the Ferris wheel is given as follows:

y = cos(4π).

How to define the cosine function?

The cosine function is defined as follows:

y = cos(Bx).

In which the period of the function is given by 2π/B.

The car completes 4 whole rotations in a time period of 2 minutes, hence it completes 2 rotations per minute, thus the period of the function is of 0.5 minutes.

Considering the period of 0.5 minutes, the coefficient B is given as follows:

2π/B = 0.5

0.5B = 2π

B = 2π/0.5

B = 4π.

Hence the function is given as follows:

y = cos(4π).

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A plane rises from take-off and flies at an angle of 3 degrees with the horizontal runway. When it has gained 850 feet, find the​ distance, to the nearest​ foot, the plane has flown.

How many feet the the plane approximately fly?

Answers

By Tangent function, to the nearest foot, the plane has flown approximately 28,333 feet.

Describe Tangent?

A closed, two-dimensional shape, a circle is also a curve. The radius of the circle or the line connecting the center O to the point of tangency is always vertical or perpendicular to the tangent line AB at P, i.e., OP is perpendicular to AB as illustrated in the accompanying figure.

We are aware of our side and degree. We must determine how far the aircraft has traveled.

To determine how far the plane has traveled, we can utilize the sine function. Keep in mind that the sine function's definition is

tan(θ) = opposite/adjacent = height/distance.

tan(3) = 850/d

Solving for d, we get:

d = 850/tan(3)

d ≈ 28,333 feet

Tangent figure given below:

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The perimeter of a rectangular living room is 38 meters. The living room is 9 meters wide how long is it

Answers

If the perimeter of a rectangular living room is 38 meters, the length of the living room is 105 meters.

The perimeter of a rectangle is the sum of the lengths of all its sides. Let's denote the length of the living room as "L". The formula for the perimeter of a rectangle is:

Perimeter = 2(length + width)

We know that the width of the living room is 9 meters, and the perimeter is 38 meters. Substituting these values in the formula, we get:

38 = 2(L + 9)

Dividing both sides by 2, we get:

19 = L + 9

Subtracting 9 from both sides, we get:

L = 105

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Find the surface area of the rectangular prism.

Answers

The surface area of the rectangular prism which is given above would be = 130ft²

How to calculate the surface area of the rectangular prism?

To calculate the surface area of the rectangular prism the formula that should be used;

=2( wl+hl+wh)

where;

w = 5ft

l = 10ft

h = 1 ft

surface area = 2(5×10+1×10+5×1)

= 2(50+10+5)

= 2×65 = 130ft²

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the subject is polynomial

Answers

Answer:

3p^2 -6p +3

Step-by-step explanation:

(3p-3) ( p-1)

We can FOIL

first : 3p*p = 3p^2

outer: 3p * -1 = -3p

inner: -3*p = -3p

last: -3*-1 = 3

Add them together : 3p^2 -3p -3p +3

                                  3p^2 -6p +3

Answer:

4th answer is correct

Step-by-step explanation:

( 3p - 3 ) ( p - 1 )

Multiply each term in ( p - 1 ) by 3p and -3.

3p ( p - 1 ) - 3 ( p - 1 )

Solve the brackets.

3p² - 3p - 3p + 3

Combine like terms.

3p² - 6p + 3

1. Given: ABCD is a parallelogram.
Show: Both pairs of opposite sides are equal.
00
200
IPAIRIN METE DEAL
C
CERC

Answers

Answer:

Side AC Is Parrellel to BD

Side BA is Parallel to DC

Step-by-step explanation:

Parallel is the opposing side.

which ones multi answer
191 cm
191 cm
162 cm
162 cm
170 cm
170 cm
152 cm
152 cm
192 cm
192 cm
168 cm
168 cm
201 cm
201 cm
205 cm
205 cm
190 cm
190 cm
161 cm
161 cm
193 cm
193 cm
195 cm
195 cm
177 cm

Answers

The heights that people had a foot size smaller than 24 centimetres would be = 162cm, 152cm, 162cm, 161cm,162cm.

How to determine the number of foot size lees than 24cm?

The total number of people whose foot sizes and heights where obtained for the study = 15

The heights that had foot sizes less than 24cm= 162cm, 152cm,162cm,161cm,162cm.

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help PLSSSSSSSSSSSS I WILL MARK YOU BRAINLYEST
20 PTSSSSSSSSSSSSSS

Answers

Answer:

It'd be 4300 mililiters

Step-by-step explanation:

3.8× 100= 3800

3800+500=4300

If you buy fast food 4 times per week and it costs you about $850 each time, then what should your monthly budget be for fast food?



A. $136


B. $35


C. $100


D. $148

Answers

The Monthly Budget for fast food is Option A. $136.

To determine how much money you should budget for fast food, we need to calculate the total amount of money you spend on fast food each week. To do this, we simply multiply the cost of one fast food meal by the number of meals you buy in a week, which is four in this case.

$850 x 4 = $3400 per week

Next, we need to figure out how much money you spend on fast food per month. To do this, we need to multiply the weekly amount by the number of weeks in a month. Most months have around four weeks, so we will use that as an estimate.

$3400 x 4 = $13600 per month

Therefore, the answer is Option A. $136. You should budget around $136 per month for fast food if you buy it four times a week and it costs you about $850 each time.

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In equation F=-kx, k is commonly called the

Answers

Answer:

k is usually called the spring constant

Step-by-step explanation:

sorry if its not right, that is just what i have learned.

have a good day !!!

Write the following in expanded form.


369.964

A.


B.


C.


D.

Answers

The number 369.964 in expanded form as 369.964 = 300 + 60 + 9 + 0.9 + 0.06 + 0.004

To express 369.964 in expanded form, we must break down the number by its place value. The digits to the left of the decimal point represent whole numbers, while the digits to the right represent fractions or decimals.

So let's start with the whole number part, 369. We can express this in expanded form by breaking it down into its component parts according to its place value. The digit 3 is in the hundreds place, which means it has a value of 300. The digit 6 is in the tens place, which means it has a value of 60. The digit 9 is in the ones place, which means it has a value of 9. Therefore, we can write 369 in expanded form as:

369 = 300 + 60 + 9

Now let's move on to the decimal part, 0.964. The digit 9 is in the tenths place, which means it has a value of 0.9. The digit 6 is in the hundredths place, which means it has a value of 0.06. The digit 4 is in the thousandths place, which means it has a value of 0.004. Therefore, we can write 0.964 in expanded form as:

0.964 = 0.9 + 0.06 + 0.004

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Jackson bought 5 books that cost $7 each. How much change did he get from $40?

Answers

The remaining amount that Jackson has is $5.

The cost of 5 books at $7 each is:

5 books * $7/book = $35

To find the amount of change Jackson got from $40, we need to subtract the cost of the books from $40:

$40 - $35 = $5

Therefore, Jackson got $5 in change.

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MOUNTAIN PEAKS Marcus and Skye want to estimate how far a mountain peak is from their houses. After taking some measurements,
they construct a diagram.


The actual distance between Marcus and Skye's houses is 1 1/2 miles.
a. What is the actual distance from Marcus's house to the peak of the mountain? Round your answer to the nearest tenth of a mile.
Peak
b. What is the actual distance from Skye's house to the peak of the mountain? Round your answer to the nearest tenth of a mile.

Answers

The actual distance from Marcus's house to the peak is 0.328 miles and the Skye's distance is 0.330 miles

The actual distance from Marcus's house to the peak

Given that

The actual distance between Marcus and Skye's houses is 1 1/2 miles.

So, we have

Ratio = 0.246 : 1 1/2

Scale : Actual = 0.246 : 1 1/2

For Marcus, we have

2 : Actual = 0.246 : 1 1/2

So, we have

Actual = 0.246/(1 1/2) * 2

Evaluate

Actual = 0.328

The actual distance from Skye's house to the peak

For Skye, we have

2.015 : Actual = 0.246 : 1 1/2

So, we have

Actual = 0.246/(1 1/2) * 2.015

Evaluate

Actual = 0.330

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John is a healthy 20-year-old college student. He weighs 160 lbs and jogs at a moderate pace 3 days per week for 20 minutes. Based on this information, approximately how many grams of protein does he need dail

Answers

The protein requirement may be slightly higher, around 1.0 to 1.2 g/kg, this would put his daily protein needs between 72.6 and 87.1 grams.

As a healthy 20-year-old college student who jogs at a moderate pace 3 days per week for 20 minutes, John has an active lifestyle that requires a certain amount of protein to maintain his body.

Protein is an essential nutrient that is needed for the growth and repair of muscles, bones, and other tissues in the body.
According to the Dietary Reference Intake (DRI), the recommended daily allowance of protein for an adult male is 56 grams per day.

However, this amount can vary depending on a person's body weight, activity level, and other factors.
In John's case, he weighs 160 lbs and exercises moderately 3 days per week. Based on this information, he would need approximately 72-80 grams of protein per day.

This is because athletes and people who exercise regularly need more protein to repair and build muscle tissue.
To meet his daily protein requirements, John can include protein-rich foods in his diet such as lean meats, fish, eggs, dairy products, nuts, and beans.

It is also important for him to spread out his protein intake throughout the day rather than consuming all of it in one meal.
John needs approximately 72-80 grams of protein per day to support his active lifestyle and maintain his overall health.

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En una escuela se proyecta la construccion de una base con una placa conmemorativa en la cara frontal ¿cual es el area de la placa?
El rectángulo tiene 60 cm altura, 180 cm ancho y el triángulo arriba tiene 80 cm ancho y 30 altura

Answers

De acuerdo a la información, el área total de la placa es de 10800 centímetros cúbicos.

¿Cómo calcular el área total de la placa?

El área que debe cubrir la placa es un área en forma de rectángulo. Por está razón, el área que se va a cubrir puede ser calculada utilizando la siguiente formula:

Área = largo x altura

De acuerdo a lo anterior, encontremos el área reemplazando los valores correspondientes:

60 cm x 180 cm = 10800 centímetros cúbicos

Por lo tanto, el área de la zona a cubrir por la placa es de  10800 centímetros cúbicos.

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In triangle ABC, ∠A = 50°, a = 11, and b = 14.

(a) Show that there are two triangles, ABC and A1B1C1, that satisfy these conditions. Using the Law of Sines, we know the following. (Round your answers to three decimal places. ) sin(B) ≈ ∠B ≈ ° and ∠B1 ≈ 180° − ° ≈ ° For triangle ABC, we see the following. (Round your answers to two decimal places. ) ∠C ≈ ° and c ≈ For triangle A1B1C1, we see the following. (Round your answers to two decimal places. ) ∠C1 ≈ ° and c ≈ Thus, there are two triangles that satisfy these conditions.

(b) Show that the areas of the triangles in part (a) are proportional to the sines of the angles C and C1, that is, area of ΔABC/ area of ΔA1B1C1 = sin(C)/ sin(C1). By the area formula, we see the following. Area of ΔABC/ Area of ΔA1B1C1 = 1 2 ab sin(C)/_______ =

Answers

In this problem, we are given the angle A, and the side lengths a and b of triangle ABC. Using the   Geometry concept of Law of Sines, we can solve for the remaining angles and side lengths of the triangle. We find that sin(B) ≈ ∠B ≈ ° and ∠C ≈ °, and we can calculate that c ≈ 9.69. This gives us one possible triangle that satisfies the given conditions.

However, the problem states that there are two triangles that satisfy these conditions. To find the second triangle, we must first construct a triangle with angle A₁ = 180° - A and sides a₁ and b₁ such that a₁/b₁ = a/b. This is possible because the Law of Sines tells us that this ratio is constant for all three sides of a triangle. We then apply the Law of Sines to this new triangle to solve for its remaining parts. We find that sin(B₁) ≈ ∠B₁ ≈ ° and ∠C₁ ≈ °, and we can calculate that c₁ ≈ 12.02. This gives us the second possible triangle that satisfies the given conditions.

Now, to show that the areas of the two triangles are proportional to the sines of their respective angles C and C₁, we use the area formula for a triangle, which is 1/2 * base * height. The height of each triangle can be calculated using the sine of the angle opposite the base. Therefore, we have:

Area of ΔABC/ Area of ΔA₁B₁C₁ = (1/2 * a * c * sin(C)) / (1/2 * a₁ * c₁ * sin(C₁))

We can simplify this expression by substituting a1/b1 for a/b and simplifying:

Area of ΔABC/ Area of ΔA₁B₁C₁ = (a/b) * (c/c₁) * (sin(C)/sin(C₁))

Using the Law of Sines, we know that a/b = sin(A)/sin(B) and c/c₁ = sin(C)/sin(C₁), so we can substitute these values into our expression:

Area of ΔABC/ Area of ΔA₁B₁C₁ = (sin(A)/sin(B)) * (sin(C)/sin(C₁)) * (sin(C)/sin(C₁))

Using the fact that the angles in a triangle sum to 180°, we can solve for sin(A) and sin(B):

sin(A) = sin(180° - B - C) = sin(B + C)

sin(B) = sin(180° - A - C) = sin(A + C)

Substituting these values into our expression, we get:

Area of ΔABC/ Area of ΔA₁B₁C₁ = (sin(B + C)/sin(B)) * (sin(C)/sin(C₁)) * (sin(C)/sin(C₁))

Simplifying this expression, we get:

Area of ΔABC/ Area of ΔA₁B₁C₁ = sin(C)/sin(C₁)

Therefore, the areas of the two triangles are proportional to the sines of their respective angles C and C₁

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Identify scale factor in scale drawings

Answers

The scale factor in scale drawing from figutre A to figure B is 4

Identifying the scale factor in scale drawings

In a scale drawing, the scale factor represents the ratio of the size of an object in the drawing to the size of the corresponding object in real life.

In the given scale drawing, the object is scaled up from 7 cm to 28 cm.

Therefore, the scale factor can be calculated as follows:

scale factor = size of object in drawing / size of corresponding object in real life

scale factor = 28 cm / 7 cm

scale factor = 4

So, the scale factor in this scale drawing is 4.

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how many ml of fluid should the client drink per day? (enter numeric value only. if rounding is necessary, round to the whole number.)

Answers

The amount of fluid that a person should drink per day can vary depending on factors such as their age, sex, weight, activity level, and climate.

The Institute of Medicine recommends that men should consume about 3.7 liters (125 ounces) of fluid per day, while women should consume about 2.7 liters (91 ounces) of fluid per day. This includes fluid from all sources, including water, other beverages, and food.

It is important to note that individual fluid needs may vary and may be influenced by factors such as health conditions, medications, and pregnancy or breastfeeding. It is always a good idea to consult with a healthcare professional to determine the appropriate amount of fluid intake for your specific needs.

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A client's daily fluid intake should be around 3,700 ml for men and 2,700 ml for women, keeping in mind that individual needs may vary.

Remember to round to the nearest whole number if necessary.

As a concise answer bot, I cannot provide a 200-word response.

How many ml of fluid a client should drink per day, we need to consider general guidelines for daily fluid intake.
The general recommendation for daily fluid intake is approximately:
- For men: 3,700 ml (about 13 cups)
- For women: 2,700 ml (about 9 cups)
These amounts include fluids from all sources, such as water, beverages, and food.

Please note that individual needs may vary depending on factors such as age, activity level, and climate.

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In 1992, Jason bought a gallon of gas for $1.23. Yesterday, he bought a gallon of gas for $2.17. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent. A. 23.6% B. 56.7% C. 76.4% D. 43.3%

Answers

What percentage of 1.23 is 2.17?  The amount over 100% will be the increase:

[tex]2.17 = \huge \text(\dfrac{x}{100}\huge \text )(1.23)[/tex]

[tex]x =\dfrac{ 2.17(100)}{1.23}[/tex]

[tex]x = 176.4\%[/tex]

The increase is 76.4%

Marcus is using a plant food to fertilize his garden his garden is a rectangle Marcus uses 1 cup of plant food for every square yard of his garden. There are 4 cups in 1 quart one quart of plant food weights 28 ounces what is the total weight in ounces of the plant food Marcus uses to fertilize his garden?

Answers

Marcus is using a plant food to fertilize his garden his garden is a rectangle Marcus uses 1 cup of plant food for every square yard of his garden.

To solve it, we need to first find the area of Marcus's garden in square yards, and then multiply it by 1 cup of plant food per square yard. Finally, we need to convert the total cups to ounces using the given conversion rate.

Let the length of Marcus's garden is l yards and the width is w yards. Then the area of his garden in square yards is

A = lw.

If Marcus uses 1 cup of plant food per square yard, then he will use A cups of plant food in total.

To convert cups to ounces, we can use the given conversion rate of 4 cups per 28 ounces.

1 cup = 28/4 ounces

Therefore, the total weight of plant food Marcus uses in ounces is

Total weight = A * (28/4) ounces

By substituting A = lw, we get

Total weight = lw * (28/4) ounces

Total weight = 7lw ounces

Hence, the total weight of plant food Marcus uses to fertilize his garden is 7 times the product of the length and width of his garden, measured in yards.

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