<u>Volume
</u>1.5*0.4*3
1.5*1.2
1.8
The volume is 1.8 cubed units.
Answer:
x = - 4 , x = 
Step-by-step explanation:
given 2x² + 7x = 4
rearrange into standard form : ax² + bx + c = 0 : a ≠ 0
subtract 4 from both sides
2x² + 7x - 4 = 0 ← in standard form
Consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term, that is
product = 2 × - 4 = - 8 and sum = + 7
The factors are + 8 and - 1
use these factors to split the middle term
2x² + 8x - x - 4 = 0 ( factor by grouping first/second and third/fourth terms )
2x(x + 4) - 1(x + 4) = 0 ( take out the common factor (x + 4) )
(x + 4)(2x - 1) = 0
equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
2x - 1 = 0 ⇒ 2x = 1 ⇒ x =
Answer:
A. in Step 3
Step-by-step explanation:
It is factored correctly. Then separated into two smaller equations correctly. But in solving x + 10 = 0, there is an error.
x + 10 = 0
Add -10 to both sides.
x = -10
So, the error is in step 3.
Answer:
(a) C = 0.29<em>t</em> + 2.50
(b) 5
Step-by-step explanation:
The variables are defined as follows:
<em>t</em> = the number of toppings
<em>C</em> = total cost for ice cream
It is provided that:
- An ice cream with no toppings is $2.50.
- Every topping is priced at $0.29 each.
(a)
The algebraic equation to find the total cost for ice cream depending on the number of toppings is:
C = 0.29<em>t</em> + 2.50
(b)
Compute the number of toppings Mr. Torrance can buy if he wants to spend only $4.00 on it as follows:
C = 0.29<em>t</em> + 2.50
4.00 = 0.29<em>t</em> + 2.50
0.29<em>t</em> = 4.00 - 2.50
0.29<em>t</em> = 1.50
<em>t</em> = 5.1724
<em>t</em> ≈ 5
Thus, Mr. Torrance can buy 5 toppings.
