Answer:
Step-by-step explanation:
Let
Price of
Hotdogs = x
Sodas = y
Candy bar = z
Smith family
Hotdogs = 3
Sodas = 2
Candy bar = 1
Total cost = $16.50
3x + 2y + z = 16.50
Patterson family
Hotdogs = 4
Sodas = 4
Candy bar = 2
Total = $26
4x + 4y + 2z = 26
Nguyen family
Hotdogs = 2
Sodas = 1
Candy bar = 3
Total cost = $13.75
2x + y + 3z = 13.75
The equations
3x + 2y + z = 16.50 (1)
4x + 4y + 2z = 26 (2)
2x + y + 3z = 13.75 (3)
Multiply (1) by -2
-2(3x + 2y + z = 16.50)
-6x - 4y - 2z = -33
-6x - 4y - 2z = -33 (1a)
4x + 4y + 2z = 26 (2)
Add (1a) and (2)
-6x + 4x = -33 + 26
- 2x = -7
x = -7/-2
= 3.5
x = $3.5
Multiply (3) by -4
-4(2x + y + 3z = 13.75) (3)
-8x - 4y - 12z = -55 (3a)
Add (3a) and (2)
-8x - 4y - 12z = -55 (3a)
4x + 4y + 2z = 26 (2)
-8x + 4x -12z + 2z = -55 + 36
-4x - 10z = -29
Substitute the value of x into
-4x - 10z = -29
-4(3.5) - 10z = -29
-14 - 10z = -29
-10z = -29 + 14
-10z = - 15
z = -15 / - 10
= 1.5
z = $1.5
Substitute values of x and z into (1)
3x + 2y + z = 16.50
3(3.5) + 2y + 1.5 = 16.50
10.5 + 2y + 1.5 = 16.50
12 + 2y = 16.50
2y = 16.50 - 12
2y = 4.50
y = 4.50 / 2
y = $2.25
Answer:
17. 29
18. 6
19. 16
20. 115
Step-by-step explanation:
17.
x+y+7
**plug in the x and y values**
(12)+(10)+7
22+7
29
18.
x+4-y
**plug in the x and y values**
(12)+4-(10)
16-10
6
19.
8(x-y)
**plug in the x and y values**
8(12-10)
8(2)
16
20.
7(12+3)+(10)
7(15)+10
105+10
115
This is what I got out for all the questions!! Have a FANTASTIC rest of your day!! Remember to ease your stress!! :))
You can answer this problem in two different ways: the first being (17 - 5) * x, and the second being 12 * x.
Answer:
2nd option
Step-by-step explanation:
Given
2x - 8y + 3x² + 7y - 12x ← collect like terms
= 3x² + (2x - 12x) + (- 8y + 7y)
= 3x² + (- 10x) + (- y)
= 3x² - 10x - y
<span> high and the </span>diameter<span> is </span>8cm using<span> the formula </span>V<span>=.π r ²h, </span>work out<span> how </span>much<span> ...the </span>height<span> h is given as </span>12 cm<span> ... Note: Generally we would </span>use<span> 3.14 as the rounded </span>value<span> of </span>pi<span>. ... when dealing </span>with<span> liquids, turn cm</span>3<span> to milliliters. ... Adding and Subtracting Polynomials Math Word Problem Solution </span>Method<span> ..</span>
