![roro67](/avatars/19390.jpg)
roro67
13.05.2021 •
Mathematics
This diagram shows the dimensions of a metal piece
used in a machine.
10 mm
14 mm
What is the volume of the metal piece?
30 mm
Enter your answer in the box.
8 mm
8 mm
mm
1
2
3
4
5
Solved
Show answers
More tips
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- S Style and Beauty How are artificial nails removed?...
- F Family and Home How to Sew Curtain Tapes: Best Tips from Professionals...
- H Horoscopes, Magic, Divination How to Cast a Love Spell on a Guy? Guide for Guys...
- F Family and Home How to Properly Use a Water Level?...
- L Legal consultation What Documents Are Required for a Russian Passport?...
- H Health and Medicine How to Treat Styes: Causes, Symptoms, and Home Remedies...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
Answers on questions: Mathematics
- M Mathematics (3/7)^5 i need help lol...
- M Mathematics Brainliest for first correct answer! Very very easy! 11.25 is ___ percent of 375...
- M Mathematics Will give if you show work! I have six pounds of hamburger meat. ONLY 3/8 part of the hamburger is mixed with hot pepper. How many pounds have pepper? Are you +,-,x, or...
- M Mathematics The winter clothing drive has received donations of 15 coats, 27 pairs of gloves, 38 scarves, and 20 hats so far. Based on this data, what is a reasonable estimate of the...
- M Mathematics ABC is an isosceles triangle with BA=BC D lies on AC ABD is an isosceles triangle with AB=AD Angle ABD=72...
- M Mathematics Help Plz I will give 15 points and brainliest!!...
- M Mathematics How do I do this help...
- M Mathematics PLZ HELP THE PICTURE OF THE PROBLEM IS ATTACHED...
- M Mathematics PLEASE HELP WITH 2 QUESTIONS 1)What is the initial value of the function represented by this graph?A coordinate grid is shown with x- and y-axes labeled from 0 to 7 at increments...
- M Mathematics Will give brainliest...
Ответ:
h = price of one hat
prices are in dollars
1 belt costs b dollars where b is simply a placeholder for a number. So this means 6 belts cost 6*b or 6b dollars. Eight hats cost 8*h or 8h dollars. In total, the whole lot is 6b+8h dollars. This batch costs $140, so 6b+8h = 140 is the first equation. The second equation is 9b+6h = 132 for similar reasons as the first equation.
So we have this system of equations
6b+8h = 140
9b+6h = 132
Let's use elimination to solve this system. If we wanted to eliminate h, then adding 8h+6h gets us 14h when we want 0h instead. Recall that 0 added to anything does not change the number. So if we can get a sum of 0h then the h terms go away.
What we can do is two things:
* Multiply both sides of equation (1) by -3
* Multiply both sides of equation (2) by 4
This will turn the original system
6b+8h = 140
9b+6h = 132
Into this system
-18b-24h = -420
36b+24h = 528
Add up the equations
-18b-24h = -420
36b+24h = 528
18b+0h = 108
We now have 18b = 108 which solves to b = 6 after dividing both sides by 18
After figuring out the value of b, we use it to find the value of h
6b+8h = 140
6*6+8h = 140 ... plug in b = 6
36+8h = 140
36+8h-36 = 140-36
8h = 104
8h/8 = 104/8
h = 13
Answers:
The cost of one belt is $6
The cost of one hat is $13