1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gnesinka [82]
4 years ago
6

(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:

<u>Let it be:</u>

  • {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

so

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
Other questions:
  • 12 points - (geometry) need the answers to questions 14-16 with work please.
    11·1 answer
  • What vector is NOT parallel to (10,6)? (-10,-6), (3,5), (5,3), (20,12)
    15·1 answer
  • Finding factors of a number
    8·1 answer
  • How do you solve it?
    9·1 answer
  • If 24 chairs cost a total of $312.00. What is the unit price for each chair?
    7·2 answers
  • You want to buy some noodles. A 9-ounce package costs $3.24. A 12-ounce package costs $4.20. A 20-ounce package costs $7.60. Whi
    9·1 answer
  • Could someone please help me quickly? What are the ratios for sin, cos, &amp; tan?
    5·1 answer
  • The quotient of a number and negative 5 decreased by 9 is 2
    6·1 answer
  • Which of these values of x is NOT a solution of the equation tanx= 1?
    11·1 answer
  • PLEASE PLEASE PLEASE HELP! I WILL GIVE BRAINLIEST
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!