I need help in algebra

Step-by-step explanation:

such an equation is a simple linear function :

y = ax + b

b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.

our job is now to find the correct a and b values.

we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.

132.5 = a×25 + b

145 = a×30 + b

now, we can use a little trick and simply subtract the whole first equation from the second equation.

145 = a×30 + b

- 132.5 = a×25 + b

------------------------------

12.5 = a×5 + 0

5a = 12.5

a = 2.5

with this we go into one of the original equations, e.g. the second one :

145 = 2.5×30 + b = 75 + b

70 = b

so, it full equation is

y = 2.5x + 70

the costs for 85 students are

y = 2.5×85 + 70 = 212.5 + 70 = $282.50

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

The value of x is 11.

The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.

Given equations

5x + 2y =  67

x = 3y - 7

substitute the value of x in equation 1

5(3y - 7) + 2y = 67

15y - 35 + 2y = 67

17y = 67 + 35

17y = 102

y = 6

and x = 3y - 7

x = 3(6) - 7

x = 18 - 7

x = 11

Hence value is 11.

Learn more about  linear equation in two variables;

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Answer:

its F for the inequality to be true

No, an object can't be reflected over a line without changing its position.

A Reflection is a transformation representing a flip of a figure.

Given that an object can be Reflected over a line without moving its position,

There are certain rules for reflection of figures,

Using these rules, a point is reflected, so it's not possible for an object to be reflected without changing position.

Hence, an object can't be reflected over a line without changing its position.

For more references on Reflection, click;

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Answer:

10

Step-by-step explanation:

2 → $3500

? → $17500

? = 17500 x 2 / 3500 = 3500/3500 = 10

OR

3500 → 2

3500/2 = 1750

17500/1750 = 10

Therefore, whatever method you use, you will get 10 as an answer.

Answer:

P and R

Step-by-step explanation:

P and R are similar because R is the same thing as P but 2 times bigger.

Answer:

17

Step-by-step explanation:

Answer:

The hypotenuse is 17.

Step-by-step explanation:

a^2+b^2=c^2.

Let's plug in a and b.

15^2 + 8^2 = c^2

Simply.

225+64=c^2

Add.

289=c^2.

Square 289 and c^2 to cancel out the ^2.

17=c

The hypotenuse is 17.

Hope I helped. :)

Answer:

99 cents

Step-by-step explanation:

one quarter=25 cents

nine pennies= 9 cents

six dimes= 60 cents

one nickle= 5 cents

25+9+60+5=85+14=99

Answer:

99 cents

Step-by-step explanation:

quarter = 25 cents

pennie = 1 cent

dime = 10 cents

nickle = 5 cents

1 quarter = 25 cents

9 pennies = 9 cents

6 dimes = 60 cents

1 nickle = 5 cents

25 + 9 + 60 + 5 = 99 cents

there is 114 in there

(ig?)

Answer:

I belive the answer is 3.

Step-by-step explanation:

35-2x4^2

35-2x16

35-32

3

Answer:

[tex]1225-140x^4+4x^8[/tex]

Step-by-step explanation:

(35-2x^4)^2 is a form of [tex](a-b)^2=a^2+b^2-2ab[/tex]

Applying this formula, we get 1225+4x^8-140x^4

Answer:

Option A

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

To calculate the amount that Mary pays in state income tax, we need to find 8% of her annual salary.

Given that Mary's annual salary is $147,362, we can calculate the state income tax as follows:

State Income Tax = (8/100) * Annual Salary

State Income Tax = (8/100) * $147,362

State Income Tax = $11,788.96

Therefore, Mary pays $11,788.96 in state income tax.

The correct answer is C) $11,788.96.

[tex]\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}[/tex]

♥️ [tex]\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}[/tex]

Answer:

About $4.98

Step-by-step explanation:

The cost of 30 ounces of iced tea will be $4.98.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

18 ounces. of iced tea costs 2.99. Then the ratio of cost to weight is calculated as,

⇒ $2.99 / 18

⇒ $0.166 per ounce

Then the cost of 30 will be calculated as,

⇒ $0.166 x 30

⇒ $4.98

The cost of 30 ounces of iced tea will be $4.98.

More about the ratio and the proportion link is given below.

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The graph representing a proportional relationship ALWAYS goes through the origin (0, 0).

Recall:

In the proportional relationship graph, the line goes through the origin (0, 0) as shown in the image attached below.

Learn more about proportional relationship on:

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Answer:

108$.

Step-by-step explanation:

[tex]\huge\text{\bf Hey there!}[/tex]

[tex]\textsf{Slope of: (10,4) (14,2) }[/tex]

[tex]\mathsf{Formula: m = \dfrac{y_2 - y_1}{x_2- x_1}}[/tex]

[tex]\textsf{Whereas }\downarrow[/tex]

[tex]\mathsf{y_2 = 14}[/tex]

[tex]\mathsf{y_1 = 10}[/tex]

[tex]\mathsf{x_2 = 2}[/tex]

[tex]\mathsf{x_1 = 4}[/tex]

[tex]\huge\boxed{\mathsf{EQUATION: \dfrac{14 - 10}{2 -4 }}}[/tex]

[tex]\huge\boxed{\mathsf{\rightarrow\dfrac{4}{-2}}}[/tex]

[tex]\huge\boxed{\mathsf{\rightarrow-2}}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your answer should be: \boxed{\mathsf{-2}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

t is a right angle q is a vertex of a right angle

Answer:

The answer would be -7/12

Step-by-step explanation:

Use math.way itll help you tremendously :)

Answer:

5 would be the answer.

Step-by-step explanation:

13 divided by 3(weeks) = 4.3

4.3 x 5 = 21.

= 5.

Answer:

2x-7

Step-by-step explanation:

let the no be X

twice the no =2X

diminished by 7= 2X-7

Answer:

C)2x - 7..................

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The Correct choice is ~

[tex]\boxed{y = \bigg({\dfrac{1}{2} \bigg) }^{x - 3} + 1}[/tex]

[tex]\\ \sf\longmapsto y=\left(\dfrac{1}{2}\right)^{x-3}+1[/tex]

Graph attached

Answer:

(0,0) (3,2) and (-2,-2) (4,2)

Step-by-step explanation:

To find the slope, you do [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2}}[/tex], which would work for both.

2-0/3-0=2/3

2-(-2)/4-(-2)=2+2/4+6=2/3