Can anyone give me the answer to 18.. Part A and B...if u can explain too please

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)

Learn more about inequality here:

https://brainly.com/question/11901702

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

Answer:

no

Step-by-step explanation:

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.

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:

The value of x is [tex]x=\frac{y+7z+9}{7}[/tex]

Step-by-step explanation:

Consider the provided equation.  

[tex]y=7x-7z-9[/tex]

We need to solve the equation for x.

Add 7z to both the sides.

[tex]y+7z=7x-7z+7z-9[/tex]

[tex]y+7z=7x-9[/tex]

Add 9 to both the sides.

[tex]y+7z+9=7x-9+9[/tex]

[tex]y+7z+9=7x[/tex]

Divide both sides by 7.

[tex]x=\frac{y+7z+9}{7}[/tex]

Hence the value of x is [tex]x=\frac{y+7z+9}{7}[/tex].

Product of 7×7×7×7 is 7⁴   in exponential form.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

For example, 6 is multiplied by itself 4 times, i.e. 6 × 6 × 6 × 6. This can be written as 6⁴

Given expression,

7×7×7×7

7 is multiplied to itself 4 times

= 7⁴

Hence, 7⁴ is the product of 7×7×7×7 in exponential form

Learn more about exponent here:

https://brainly.com/question/5497425

#SPJ2

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

To know more about unit conversion follow

https://brainly.com/question/1765194

#SPJ3

Answer:33.5

Step-by-step explanation:

The correct option is:  B. 450

Explanation

Current value of the investment is  [tex]1.035\times 10^8[/tex] dollars and 30 years ago, the value of the investment was  [tex]2.3\times 10^5[/tex] dollars.

Suppose, the value of investment today is  [tex]n[/tex] times greater than the value of the investment thirty years ago.

So, the equation will be........

[tex]n(2.3\times 10^5)=1.035\times 10^8\\ \\ n= \frac{1.035\times 10^8}{2.3\times 10^5}=0.45\times 10^3 = 450[/tex]

Thus, the value of the investment today is 450 times greater than the value of the investment thirty years ago.

Answer:   B. 450

Step-by-step explanation:

Given: An investment is currently worth =[tex]1.035\times10^8[/tex] dollars .

Thirty years ago, the investment was worth =[tex] ​2.3\times10^5[/tex] ​dollars.

Now, the number of times the value of the investment today than the value of the investment thirty years ago is given by :-

[tex]n=\frac{1.035\times10^8}{​2.3\times10^5}\\\\=0.45\times10^{8-5}........\text{Since }a^na^m=a^{m+n}\\\\=0.45\times10^3\\\\=0.45\times1000=450[/tex]

Hence, the value of the investment today is 450 times greater than the value of the investment thirty years ago.

Hello,

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

Hope this helps!!!! :)

**(Vanessa)**

The opposites of the whole numbers from 35 to 45 are; -35, -36, -37, -38, -39, -40, -41, -42, -43, -44, -45.

The opposite of a number is the opposite sign of that same number. Thus;

Opposite of a is -a.

Opposite of -b is b.

Now; Numbers from 35 to 45 are; 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45.

Thus, their opposites are; -35, -36, -37, -38, -39, -40, -41, -42, -43, -44, -45.

Read more about Number opposites at; https://brainly.com/question/10488315

#SPJ2

The amount of juice needed is about 0.487 cups

Amount of oranges squeezed :

First orange = 4/17 cups

Second orange = 3/10 cups

Third orange = 9/20 cups

Fourth orange = 3/11 cups

Fifth orange = 7/15 cups

Total amount of oranges needed = 2 cups

The amount of extra orange needed = x

Adding :

(4/17 + 3/10 + 9/20 + 3/11 + 7/15) + x = 2

(13200 + 168300 + 252450 + 153000 + 261800) / 561000

(848750 / 561000) + x = 2

1.5129 + x = 2

x = 2 - 1.5129

x = 0.4871 cups

The amount of juice needed is about 0.487 cups