Hello there!
So, let's start off with the first one:
A) 60% of One - half x
I believe a couple of possible equations would be: 0.60*1/2x or 0.60*0.5x. 1/2 and 0.5 both equal half of a number. The 0.60 would equal 60%. I'll plug 10 into x of both equations to see what I come up with:
First Equation:
1/2 * 10/1 = 10/2 or 5.
0.60 * 5 = 3
Second Equation:
0.5 * 10 = 5
0.60 * 5 = 3
So they both come up with the same answer, so that makes them both equal, which makes them both possible equations.
B) 7 times z reduced by a third of the product
7z - 1/3 seems like a good equation. Let me plug in 5 for z to solve:
7 * 5 = 35
Convert 35/1 into 105/3 by multiplying both sides by 3
105/3 - 1/3 = 104/3 (approx. 34.7)
C) Three-fourths of V subtracted from 6 times two-ninths
A good equation for this would probably be (6*2/9)-3/4v. I'll plug 5 into v to show how we would solve the equation:
6/1 * 2/9 = 12/9 or 1 1/3.
3/4 * 5/1 = 15/4 or 3 3/4.
(Use the fractions 16/12 and 45/12 as 16/12 = 12/9 and 15/4 = 45/12)
16/12 - 45/12 = -29/12 or −<span>2 <span>5/12</span></span>
D) Sum of 2x, (2/3 + 5) and 11-x
I think the right equation for this would be 2x + (2/3 + 5) + 11-x. Plug in 3 for x to solve:
(Use 15/3 when adding 2/3 and 5 because 5 = 15/3)
2/3 + 15/3 = 17/3 or 5 2/3
2 * 3 = 6
11 - 3 = 8
(Use 18/3 and 24/3 when adding up 6 + 5 2/3 + 8 as 6 = 18/3 and 8 = 24/3
17/3 + 18/3 + 24/3 = 59/3 or 19 2/3
Sorry if this confused you xD but, basically, the possible equations are as follows:
1 = 0.60*1/2x or 0.60*0.5x
2 = 7z - 1/3
3 = <span>(6*2/9)-3/4v
</span>4 = 2x + (2/3 + 5) + 11-x
I hope this helped! If not, I'm very sorry. Algebra isn't my strong suit ^.^'
Answer:
Patricia is 47 years old
Sharla is 55 years old
Step-by-step explanation:
Rewrite the first sentence as an equation: (S= Sharla) (P= Patricia)
S=P+8
Rewrite the second sentence as an equation:
S+P=102
1) Substitute P+8 as Sharla in the second equation:
P+8+P=102
2) Combine alike terms:
2P+8=102
3) Subtract 8 from both sides:
2P=94
4) Divide both sides by 2:
P=47
5) Substitute 47 as P in the <u>First</u> equation:
S=47+8
6) Solve:
S=55
Answer:
11
Step-by-step explanation:
2(8−4)(2)− 10/2
=11
___________________________________________________________
EASY
yourwelcome
Answer:
1st question: 13 questions
2nd question: Mr.Philps will not have enough
Step-by-step explanation:
Mateo and Logan finished 65% of their math homework. If it has 20 problems, how many problems have they done?
20 x 0.65 = 13
Mr. Philps made 1 gallon of fruit punch for his class party. If he has 27 students, and each of them will drink 1 cup, will he have enough?
1 gallon = 16 cups
27 students x 1 cup each = 27 cups
27 is greater than 16, so no, he will not have enough.
First, divide both sides by 3. I think your mistake was that you were multiplying -3. Please note that in order to cancel something out you need to do the reverse operation. The reverse operation of subtraction is addition and the reverse of multiplication is division.
3(a - 5) = -6
a - 5 = -2
Now add 5 to both sides
a - 5 = -2
+5 +5
a = 3
Hope this helps!
