10x+2/2=4x+.25 help please

Giovanni purchased 25tickets to an airshow. the cost of an adult's ticket is $14 and the child's ticket is $8. if the total cost

Masteriza [31]

Giovanni purchased 20 adult tickets and 5 child's tickets.

Step-by-step explanation:

Let,

x = Adult tickets

y = Child's tickets

According to given statement;

x+y=25 Eqn 1

One adult ticket costs $14 and one child ticket costs $8, therefore,

14x+8y=320 Eqn 2

$Multiplying\ Eqn\ 1\ by\ 8\\8(x+y=25)\\8x+8y=200\ Eqn\ 3\\Subtracting\ Eqn\ 3\ from\ Eqn\ 2\\(14x+8y)-(8x+8y)=320-200\\14x+8y-8x-8y=120\\6x=120\\Dividing\ both\ sides\ by\ 6\\\frac{6x}{6}=\frac{120}{6}\\x=20$

Putting value of x in Eqn 1;

$20+y=25\\y=25-20\\y=5$

Giovanni purchased 20 adult tickets and 5 child's tickets.

Keywords: Linear equations, Addition

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

Which expression represents the distance between the points (11, 4) and (5,8)?

antiseptic1488 [7]

Answer:

$\displaystyle d = 2\sqrt{13}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (11, 4) → x₁ = 11, y₁ = 4

Point (5, 8) → x₂ = 5, y₂ = 8

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(5-11)^2+(8-4)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{(-6)^2+(4)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{36+16}$
[√Radical] Add: $\displaystyle d = \sqrt{52}$
[√Radical] Simplify: $\displaystyle d = 2\sqrt{13}$

4 0

3 years ago

Find the height of a triangle with base 3 m and area 9 m². a m

miss Akunina [59]

Answer:

h=6

Step-by-step explanation:

a=b x h x 0.5

9=3 x h x 0.5

9/3=3/.5=6

h=6

3 0

2 years ago

Read 2 more answers

How to solve which fraction is larger 10/13 or 11/14 or 14/15 or 17/18

alexandr402 [8]

To solve these type of problem you have to make the denominator the same or use the claculator.

let us do this problem by making the denominator the same.

$\frac{10}{13} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{11}{14} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{14}{15} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{17}{18} \\\\ \frac{10}{13}\times \frac{3780}{3780} \ \ \ \ \ \ \ \ \ \frac{11}{14} \times \frac{3510}{3510} \ \ \ \ \ \ \ \ \ \frac{14}{15} \times \frac{3276}{3276} \ \ \ \ \ \ \ \ \ \frac{17}{18} \times \frac{2730}{2730}$

$\frac{37800}{49140} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{38610}{49140} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{45864}{49140} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{46410}{49140}$

So, now. the one with the largest numerator is the largest fraction

In this case, $\frac{46410}{49140}$ is the largest which is equal to $\frac{17}{18}$ .

So, the largest fraction is $\frac{17}{18}$ .

5 0

3 years ago

Need help with these two questions

MAVERICK [17]

744848848484848484848

5 0

3 years ago