a mathematical term that does not include an equal or inequality sign is called an

The relationship between a domain, relation, and range in mathematics is that the domain represents the set of input values, the relation shows the relationship between input and output values, and the range represents the set of output values.

In mathematics, "a domain is the set of input values or independent variable in a relation or function". It represents the possible values for the input variable. A relation is a set of ordered pairs that shows the relationship between the input and output values. The range of a relation is the set of output values or dependent variable.

For example, let's consider a relation that relates the ages of students to their heights. The ages of the students would be the domain, the heights would be the range, and the ordered pairs would represent the relationship between age and height.

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1.425 gallons/bottle

Given:

Question:

What is the amount of apple juice in each bottle?

The Process:

Let the amount of apple juice in each bottle as X.

The two steps for obtaining X are as follows:

Step-1: the total amount of apple juice is the initial gallon amount subtracted by the remaining gallon amount.

[tex]\boxed{ \ 6 \ gallons - 0.3 \ gallons = 5.7 \ gallons \ }[/tex]

Step-2: the total amount of apple juice divided by the number of bottles is the amount of apple juice in each bottle.

[tex]\boxed{ \ X = 5.7 \ gallons \div 4 \ bottles = \boxed{ \ 1.425 \ gallons/bottle \ } \ }[/tex]

Quick steps:

[tex]\boxed{ \ X = \frac{(6 - 0.3) \ gallons}{4 \ bottles} = \boxed{ \ 1.425 \ gallons/bottle \ } \ }[/tex]

Thus, the amount of apple juice in each bottle is 1.425 gallons.

Keyword: Yasmine bought 6 gallons of apple juice, after filling up 4 bottles, she had 0.3 gallons, what's the amount, in each bottle?

The size of each bottle that is filled by apple juice is [tex]\boxed{\bf 1.425}[/tex].

Further explanation:

Given:

Yasmine bought [tex]6[/tex] gallons of apple juice.

She filled up [tex]4[/tex] bottles of same size.

She had [tex]0.3[/tex] gallon of apple juice left.

Calculation:

Consider the size of each bottle is [tex]x[/tex] gallons.

Total size of each bottle is [tex]4x[/tex] gallons.

Total amount of apple juice used in these [tex]4[/tex] gallons can be obtained by subtracting total amount of apple juice to remaining apple juice.

[tex]\boxed{6-0.3=5.7}[/tex]

Therefore, total size of the [tex]4[/tex] bottles is [tex]5.7\text{ gallon}[/tex].

Write the equation for the total size of the bottles.

[tex]\boxed{4x=5.7}[/tex]  

Now find the value of [tex]x[/tex] which gives the size of the bottles.

[tex]\begin{aligned}4x&=5.7\\x&=\dfrac{5.7}{4}\\x&=1.425\end{aligned}[/tex]  

Therefore, the size of each bottle that is filled by apple juice is [tex]\boxed{\bf 1.425}[/tex].

Simple method:

First find the total size of bottle and then divide by [tex]4[/tex].

The total size of each bottle can be obtained as follows:

[tex]6-0.3=5.7[/tex]  

The size of each bottle can be obtained as follows:

[tex]\dfrac{5.7}{4}=1.425[/tex]  

The size of each bottle that is filled by apple juice is [tex]\boxed{\bf 1.425}[/tex].

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords: Yasmine, apple juice, juice, 6 gallons, 0.3 gallons, filled, equally, bottles, juice, poured,1.425, liters, size, amount, equation, total size.

11x-9 = 108

add 9 to both sides:

11x = 117

divide both sides by 11

x = 117 / 11 = 10.63636364

Since m<B is equal to m<E, hence the angles are similar triangles

To determine if both triangles are similar, all the interior angles of the triangles must be equal to each other that is;

Get the measure of angle B

The measure of the interior angle of the triangle is 180 degrees

m<D + m<E + m<F = 90

90 + m<E + 55 = 180

m<E = 180 - 145

m<E = 35 degrees

Since m<B is equal to m<E, hence the angles are similar triangles

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Answer:

B.12

Step-by-step explanation:

We can calculate it with a direct rule of 3. If in 5 hours she can make 3 soft toys, how many soft toys will she make in 20 hours?

[tex]\text{5 hours} -\!\!\!-\!\!\!- \text{3 soft toys}\\ \text{20 hours} -\!\!\!-\!\!\!- \text{x soft toys}[/tex]

We use the formula of the direct rule of 3:

[tex]x = \frac {20*3}{5} \\ \\ x = \frac {60}{5}\\[/tex]

x = 12

She can make 12 soft toys in 20 hours.

Brandon pays more per magazine

What is Linear equations ?

Linear Equation is an equation in which the highest power of the variable is always 1 .

From question it is given ,

Carla pays $9.44 for 4 magazines

Let cost of one magazine is '$m'

4 * m = $9.44

m = 9.44 /4 = 2.36

hence , Carla paid $ 2.36 for one magazine

In case of Brandon ,

from equation y = $ 2.87 x

it can be seen that he paid $ 2.87 per magazine

Hence , answer is c) Brandon pays more per magazine

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Answer:

180 rabbits

Step-by-step explanation:

The correct question is

The rabbit population in a certain area is 500% of last years population. There are 900 rabbits this year. How many were there last year?

we know that

900 rabbits represent 500% of last year population

Last year population represent 100%

so

using proportion

Find out how many rabbits represent a percentage of 100%

[tex]\frac{900}{500\%}=\frac{x}{100\%}\\\\x=900(100)/500\\\\x=180\ rabbits[/tex]

Answer:180

Step-by-step explanation:

1 kilometer = 1000 meters

 6000 meters  / 1000 = 6 kilometers

Pilar saved a total of $0.50 by using five reusable shopping bags, with each bag providing a $0.10 discount on her purchase.

Pilar used five reusable shopping bags for a recent purchase she made at a grocery store, where each bag decreased the amount she spent by $0.10. To calculate the total amount saved by Pilar, we must multiply the number of bags by the savings per bag. So the calculation is as follows:

Number of reusable bags = 5

Savings per bag = $0.10

Total savings = Number of reusable bags imes Savings per bag = 5 imes $0.10 = $0.50

Therefore, by using the reusable bags, Pilar saved a total of $0.50 on her grocery purchase.

Solving for some variable means finding its value for which the given statement is true. Thus, the solution to given inequality is [tex]x \leq \dfrac{b(c-1)}{a}[/tex] (if a/c is non-negative)or [tex]x \geq \dfrac{b(c-1)}{a}[/tex] (if a/c is negative)

All such operations such that inequality doesn't gets modified( for example, if left expression is bigger than right one, then that expression cannot go bigger than the later expression).

For the given case, the inequality given is:

[tex](ax+b)/c \leq b[/tex]

Its solution can be found by doing operations which doesn't modify the inequality and takes all the terms such that one side is 'x' and other side are constants.
[tex](ax+b)/c \leq b\\\\\dfrac{a}{c}x + \dfrac{b}{c} \leq b\\\\\text{Subtracting b/c from both the sides}\\\\\dfrac{a}{c}x \leq b - \dfrac{b}{c}\\\\\text{Supposing that a/c is non-negative, multiplying both sides by c/a}\\\\x \leq \dfrac{c}{a} \times \dfrac{bc - b}{c} = \dfrac{b(c-1)}{a}\\\\x \leq \dfrac{b(c-1)}{a}[/tex]

(i assumed a/c non-negative, since multiplying with negative quantity can modify the sign of inequality, so ≤ would have become ≥ )

If a/c is negative, then:

[tex]x \geq \dfrac{c}{a} \times \dfrac{bc - b}{c} = \dfrac{b(c-1)}{a}\\\\x \geq \dfrac{b(c-1)}{a}[/tex]

Thus, the solution to given inequality is [tex]x \leq \dfrac{b(c-1)}{a}[/tex] (if a/c is non-negative)

or [tex]x \geq \dfrac{b(c-1)}{a}[/tex] (if a/c is negative)

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Final answer:

To solve for x, we can multiply both sides of the equation by c, subtract b from both sides, and then divide both sides by a to isolate x. The solution is x ≤ (bc - b)/a.

Explanation:

To solve for x in the equation (ax + b)/c ≤ b, we can first multiply both sides of the equation by c to eliminate the denominator:

ax + b ≤ bc

Next, we can subtract b from both sides:

ax ≤ bc - b

Finally, we divide both sides by a to isolate x:

x ≤ (bc - b)/a

Since a, b, and c are negative constants, the values of b and c are negative. Therefore, the numerator of the inequality will always be negative, resulting in a positive value for x. So the solution is:

x ≤ (bc - b)/a

The amount of water consumed each day is 1.5 gallons = 5667.5 millilitres. The correct option is C.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The amount of water in millilitres will be calculated as,

1 Gallons = 3.785 litres

1.5 Gallons = 3.785 x 1.5 litres

1.5 Gallons = 5.6775 litres

1.5 gallons = 5.6775 x 1000 mililitres

1.5 Gallons = 5677.5 mililitres

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The statement that best represents the meaning of the term 60h is:

           C. the number of miles Dee drove in h hours

The expression 705 – 60h gives the number of miles Dee is from home after driving h hours.

This means that initially he is: 705 miles away from the home.

Now, he is travelling at a speed of 60 miles per hour.

This means that the distance he travels in h hours is: 60h miles.

          Hence, the correct answer is: Option: C

In order to simplify, we want to change the 10 - x to an x - 10.

To do that, we can factor out a -1.

So we have -1(x - 10)/(x - 10).

Now our x - 10's cancel leaving us with -1.

The relationship between temperature and the number of chirps per minute can be represented by the equation C = 0.8T, where C is the number of chirps per minute and T is the temperature.

The relationship between the temperature and the number of chirps per minute can be represented by an equation.

Let's assume that the temperature is denoted by T and the number of chirps per minute is denoted by C. According to the given data, when the temperature is 50 degrees, the cricket chirps 40 times per minute. We can use this information to write the equation as:

C = kT

where k is a constant.

To solve for the value of k, we can substitute the temperature and the number of chirps per minute into the equation:

40 = k * 50

Dividing both sides by 50 gives us:

k = 40/50 = 0.8

Therefore, the equation representing the temperature in terms of the number of chirps per minute is:

C = 0.8T

Answer: Hello there!

Louse bought 114 pounds of roast beef at $2.00 per pound, this means that each one of the 114 pounds cost $2, then the total cost of the roast beef is $2*114 = $228.

For the turkey she bought 212 pounds at a price of $1.50 per pound, with the same reasoning as before, we need to see $1.50*212 = $318

then she spend $228 in roast beef and $318 in turkey, then the total cost is the addition of this two: $228 + $318 = $546.

Hello,

The correct answer is C) She wrote identity instead of associative in Step 2.

Hope this helps!!!! :)

**(Vanessa)**

Answer:

10%×$650=$585

$585-$450=$135 Mark up.

Step-by-step explanation:

The markup from cost to sale price is $135.

Cost price, for instance, equals selling price plus profit ( when selling price and profit is given ) Cost is equal to Selling price plus Loss ( when selling price and loss is given )

Cost price = 100 Selling Price + 100 + Profit (where the Selling Price and Profit Percentage are supplied)

Given the selling price of item = $650

The cost = $450

Therefore,

10% × $650 = $585

$585-$450=$135

Hence,  the markup from cost to sale price is $135.

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Answer:

Scatter plots show how much one variable is affected by another. The relationship between two variables is called their correlation . ... If the line goes from a high-value on the y-axis down to a high-value on the x-axis, the variables have a negative correlation . A perfect positive correlation is given the value of 1.

Answer:33.5

Step-by-step explanation: