All categories

4 years ago

(4x + 9)/2 1/3= 3x/0.5

Mathematics

1 answer:

USPshnik [31]4 years ago

7 0

Answer:

x = 0.9

Step-by-step explanation:

Change 2 $\frac{1}{3}$ to $\frac{7}{3}$ , then

$\frac{4x+9}{\frac{7}{3} }$ = $\frac{3x}{0.5}$ ( cross- multiply )

0.5(4x + 9) = 3x × $\frac{7}{3}$ , that is

2x + 4.5 = 7x ( subtract 2x from both sides )

4.5 = 5x ( divide both sides by 5 )

0.9 = x

You might be interested in

Max was on vacation twice as long is Jared and half as long as Wesley. The boys were on vacation a total of three weeks. How man

kow [346]

Max 10 1/2 days
Jared 5 1/4 days (2x as long)
Wesley 21 days (1/2 as long)

3 0

4 years ago

The length of a rectangle is 5 yd less than double the width, and the area of the rectangle is 52 yd2 . find the dimensions of t

charle [14.2K]

The dimensions are: 4 x 13

3 0

4 years ago

What is 3.2 as a repeating fraction

Luda [366]

Answer:

3.2 = 16/5 (3 1/5).

Step-by-step explanation:

{3.2.

<u>We want to find the fraction of it.</u>

1 ÷ 5 = 0.2.
16 ÷ 5 = 3.2.
16/5.

6 0

2 years ago

An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points (18,20):

AURORKA [14]

Answer:

$2\ gal$

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(18,20),B(4,20),C(4,4),D(16.2),E(22.10)$

step 1

Find the distance AB

we have

$A(18,20),B(4,20)$

substitute in the formula

$d=\sqrt{(20-20)^{2}+(4-18)^{2}}$

$d=\sqrt{(0)^{2}+(-14)^{2}}$

$AB=14\ ft$

step 2

Find the distance BC

we have

$B(4,20),C(4,4)$

substitute in the formula

$d=\sqrt{(4-20)^{2}+(4-4)^{2}}$

$d=\sqrt{(-16)^{2}+(0)^{2}}$

$BC=16\ ft$

step 3

Find the distance DE

we have

$D(16.2),E(22.10)$

substitute in the formula

$d=\sqrt{(10-2)^{2}+(22-16)^{2}}$

$d=\sqrt{(8)^{2}+(6)^{2}}$

$d=\sqrt{100}$

$DE=10\ ft$

step 4

Find the distance AE

we have

$A(18,20),E(22.10)$

substitute in the formula

$d=\sqrt{(10-20)^{2}+(22-18)^{2}}$

$d=\sqrt{(-10)^{2}+(4)^{2}}$

$d=\sqrt{116}$

$AE=10.77\ ft$

step 5

Find out the area of the four walls

To determine the area sum the length sides and multiply by the height of the walls

$A=(AB+BC+DE+AE)h$

substitute the given values

The height of the walls is 10 ft

$A=(14+16+10+10.77)10$

$A=(50.77)10$

$A=507.7\ ft^2$

step 6

Determine the number of gallons needed to paint the four walls

we know that

one gallon of paint is enough to cover 400 square feet

using proportion

$\frac{1}{400}\ \frac{gal}{ft^2}=\frac{x}{507.7}\ \frac{gal}{ft^2}\\\\x=507.7/400\\\\x= 1.27\ gal$

Round up

$x=2\ gal$

5 0

4 years ago

The radius of the cone is 3 in and y = 5 in. What is the volume of the cone in terms of π?

Tcecarenko [31]

Answer:

12π in³

Step-by-step explanation:

The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...

r² + x² = y²

x = √(y² -r²) = √(25 -9) = 4 . . . inches

The formula for the volume of a cone is ...

V = (1/3)πr²h . . . . . . . . h is the height, what you call x

Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...

V = (1/3)π(3 in)²(4 in) = 12π in³

The volume of the cone is 12π cubic inches.

6 0

4 years ago

Read 2 more answers