Answer:
1 and 1/2
Step-by-step explanation:
3 1/4 is equal to 13/4 and 1 3/4 is equal to 7/4. 13/4 - 7/4 is 6/4. 6/4 equalsn is 1 1/2.
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
Yes it is C. 0<X<10. you are correct. Good Job
Answer:
Divide each term by −9 - 9 and simplify
Answer:
Surface Area: 34
Volume: 10
Step-by-step explanation:
Volume = l*w*h
We need to divide the shapes up.
First Shape: 3 length * 1 width * 2 height
Second Shape: 2 length * 1 width * 2 height
6+4=10
Surface Area: 2(lw+wh+hl)
Lets divide the shape into two parts again and plug in the number into the formula.
2(3+2+6) = 2(11) = 22
However, for this, two units are inside to shape because we split it up. We can remove these 2 units.
22-2=20
Now we move to the next shape.
(Keep in mind, you can always just count surface area.)
2(2+2+4) = 2(8) = 16
However, again, two units are inside the shape because this is not just a simple figure.
16-2=14
14+20=34
