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
zloy xaker [14]
2 years ago
7

Solve the proportions:

Mathematics
1 answer:
IRINA_888 [86]2 years ago
3 0

<u>Answer:</u>

  • 6. 6.75
  • 7. 27
  • 8. 92/17
  • 9. 49

<u>Step-by-step explanation:</u>

<u>- Question 6 -</u>

  • 9/16 = x/12
  • => 16x = 12 x 9
  • => 16x = 108
  • => x = 6.75

Hence, <u>the value of x in this proportion is 6.75.</u>

<h3>_______________________________</h3>

<u>- Question 7 -</u>

  • -3 + x/18 = 12/9
  • => -3/18 + x/18 = 4/3
  • => x/18 = 4/3 + 1/6
  • => x/18 = 8/6 + 1/6
  • => x/18 = 9/6
  • => x = 9/6 x 18
  • => x = 27

Hence, <u>the value of x is 27</u>

<h3>_______________________________</h3>

<u>- Question 8 -</u>

17/15 = 10/2x - 2

=> 17(2x - 2) = 150

=> 34x - 34 = 150

=> 34x = 184

=> x = 184/34

=> x = 92/17

Hence, <u>the value of x is 92/17</u>

<h3>_______________________________</h3>

<u>- Question 9 -</u>

  • x - 16/x + 6 = 3/5
  • => 5(x - 16) = 3(x + 6)
  • => 5x - 80 = 3x + 18
  • => 2x = 98
  • => x = 49

Hence, <u>the value of x is 49.</u>

<h3>_______________________________</h3>

Hoped this helped.

You might be interested in
Can someone help me with this question.
Digiron [165]

Answer:

C

Step-by-step explanation:

A function means that a graph cannot have repeating x values, so to test if something is a function we do the horizontal line test. You simply draw a vertical line and if the graph touches it twice it is not a function.

4 0
3 years ago
Alvin has a prism-like water tank whose base area is 0.9 square meters and height is 0.6 meters. He wants to
lara [203]

Answer:Alvin can have 2 fish

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A family of two adults and four children is going to and amusement park admission is $21.75 for adults and $15.25 for children w
mote1985 [20]
The Answer Is 104.50 Because You Have To Multiply The Two Adults By The Admission ( 21.75×2 ) And Also Multiply The Four Kids By The Admission ( 15.25×4 ) And Add Both Of Those Answers Together ( 43.50+61.00=104.50)
3 0
2 years ago
Read 2 more answers
Solve the following system of equations: 2x + 4y − 3z = −7 3x + y + 4z = −12 x + 3y + 4z = 4
lukranit [14]

2x + 4y − 3z = −7 ---> first equation

3x + y + 4z = −12   ---> second equation

x + 3y + 4z = 4   ---> third equation

We try to eliminate z  and make two equations

Multiply first equation by 4 and second equation by 3. then add both equations

8x + 16y -12z = -28

9x + 3y +12z = -36

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

17x + 19y = -64   ---------------> equation 4

multiply third equation by -1  and add second and third equation

3x + y + 4z = −12  

-x - 3y - 4z = -4    

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

2x -2y = -16        ---------------> equation 5

Multiply equation 4 by 2 and equation by 19

34x + 38y = -128

38x - 38y = -304

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

72x  = -432

Divide by 72 on both sides

x = -6

use equation 2x -2y = -16        ---------------> equation 5

2(-6) - 2y = -16

-12 -2y = -16

-2y = -4

So y = 2

Now plug in 2 for y  and -6 for x

Using any one of the three equations

x + 3y + 4z = 4  

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

4z = 4 (divide by 4 on both sides)

So z=1

So x= -6, y = 2  and z= 1





4 0
3 years ago
Read 2 more answers
Pythagoras is planting a rose garden in the center of his rectangular yard, which is 20 feet long and 8 feet wide. He wants to d
Mama L [17]
The remaining area that the grass will cover will be given by:
Area=[area of rectangle]-[area of the triangle]
area of rectangle will be:
A1=length*width
=20*8
=160 square feet

The area of the triangle will be:
A2=1/2absin theta
since the triangle is equilateral, all the angles are equal and the size of each angle is 60°. Thus the area will be:
A2=1/2*5*5sin 60
=18.3
thus the remaining area of the grass will be:
Area=160-18.3
=149.7 square feet
6 0
3 years ago
Other questions:
  • Which answer is the smallest<br> A. -16x8<br> B.-16 divided by 8<br> C-16+8 <br> D -16 - 8
    14·1 answer
  • Please help I have no idea what I’m doing
    5·1 answer
  • Troy is making a flag shaped like a square.Each side measures 12 inches.he wants to add ribbon along the edges. He has 36 inches
    15·1 answer
  • How do I figure out 2/3(5*4)/3+6/7=
    8·1 answer
  • What is the greatest common factor of 15xz and 45xz
    7·2 answers
  • What is the slope of the line passing through (-3, 5) and (5, -3)?
    9·2 answers
  • 1
    8·1 answer
  • A professor wants to know whether or not there is a difference in comprehension of a lab assignment among students depending on
    10·1 answer
  • A quantity with an initial value of 850 grows continuously at a rate of 90% per
    11·1 answer
  • Solve (3x – 2)= 49 using the Square Root Property (completing the square).
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!