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3 years ago

If (x/3)-1 is twice as large as (x/4)-3, what is the value of x?

Mathematics

2 answers:

Ganezh [65]3 years ago

7 0

Answer:

Step-by-step explanation:

Angelina_Jolie [31]3 years ago

3 0

Answer:

x = 30

Step-by-step explanation:

The equation modelling the statement is

$\frac{x}{3}$ - 1 = 2 ( $\frac{x}{4}$ - 3 ) ← distribute parenthesis by 2

$\frac{x}{3}$ - 1 = $\frac{x}{2}$ - 6 ( multiply through by 6 to clear the fractions )

2x - 6 = 3x - 36 ( subtract 2x from both sides )

- 6 = x - 36 ( add 36 to both sides )

30 = x

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What key features will all continuous exponential functions have?

Hoochie [10]

Answer:

The graph passes through the point (0,1)
The domain is all real numbers.
The range is y>0.
The graph is increasing.
The graph is asymptotic to the x-axis as x approaches negative infinity.
The graph increases without bound as x approaches positive infinity.
The graph is continuous.

7 0

3 years ago

A contractor is installing tiles on a floor that measures 132 x 216 inches. If each tile measures 4 x 4 inches, how many tiles w

Kay [80]

Answer:

1782 tiles

Step-by-step explanation:

Given that:

Dimension fo floor = 132 x 216 inches

Area of floor = 132 * 216 = 28512 in²

Dimension of tiles = 4 * 4 inches

Area of tiles = 4 * 4 = 16 in²

Number of tiles needed to cover floor :

Area of floor / Area of tiles

28512 in² / 16 in²

= 1782 tiles

5 0

2 years ago

A jar contains 2 orange, 4 green, 2 white and 2 black balls. What is the probability of drawing an orange ball without putting i

KonstantinChe [14]

Answer:

2/45

Step-by-step explanation:

We are told that:

A jar contains 2 orange, 4 green, 2 white and 2 black balls.

The total number of balls in the jar is calculated as:

2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls

The probability of drawing an orange ball = P(Orange) = 2/10

The probability of drawing a black ball = P(Black) = 2/10

Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:

2/10 × 2/9 = 4/90

= 2/45

7 0

3 years ago

Concert tickets cost $15 for general admission, but only $9 with a student ID. Ticket sales total $450. Write and graph an equat

aliina [53]

The equation that models the situation is 15x + 9y = 450

The x-intercept is (30, 0) and the y-intercept is (0, 50)

Given the following parameters:

Cost of concert tickets for general admission= $15

Cost of a ticket for those with student ID = $9

Given that the total sales is $450, the equation that models this situation will be expressed as:

15x + 9y = 450

where:

x is the those that admitted generally

y are those with student ID

Get the x-intercept.

This is a point where the y-axis is zero

15x + 9y = 450

15x + 9(0) = 450

15x = 450

x = 450/15

x = 30

Thee x-intercept is (30, 0)

Get the y-intercept.

This is a point where the x-axis is zero

15(0) + 9y = 450

0 + 9y = 450

9y = 450

y = 450/9

x = 50

The y-intercept is (0, 50)

Learn more on intercepts here: brainly.com/question/24212383

7 0

2 years ago

Prove that triangle with side lengths of x^2-1, 2x, x^2+1 is a right triangle.

Brrunno [24]

Right triangles must follow the pythagorean theorem, so a^2+b^2=c^2.

Let's find a^2 and b^2 by squaring the first 2 side lengths.

(x^2-1)^2= x^4-2x^2+1
(2x)^2= 4x^2

Then add the two to find c^2
x^4+ 2x^2 +1= c^2

Root both sides
x^2+1=c

Since the side lengths can be plugged into the pythagorean theorem, the side lengths must represent a right triangle.
Hope this helps!

7 0

3 years ago