Answer:
x = 5
or
x = 3
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is +15
Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15
Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -8 .
-15 + -1 = -16
-5 + -3 = -8
Answer:
60 oz of water to add
45 oz of 35% salt solution should be used
Step-by-step explanation:
Let x = amt no. ounces in the first solution
and 105 - x = amt no. of ounces in the second solution
Ist solution contains 0% salt
2nd solution contains .35(105 - x) salt
.15(105= amt of salt in mix
So.
amt of salt in 1st solution + amt of salt in 2nd solution = amt of salt in the mix
0 + .35(105 - x) = .15(105)
Let's get rid of the fractions by multipying thru the equation by 100
35(105 - x) = 15(105)
3675 - 35x = 1575
-35x = -2100
x = 60 oz of water to add
105 - 60 = 45 oz of 35% salt solution should be used
Answer: m ⇒ e ∨ p
Step-by-step explanation:
First look at the statement and locate the connectives ( these are words which connect sentences such as: and, or, implies, is equivalent and not.) Each of these connectives have a symbol/ variable.
- In this case the connectives are "only if" and "or" these are important because we will not attach propositional variables to them, where:
⇒ = " only if"
∨ = "or"
- Convert the phrases into variables where:
m = " You can see the movie"
e = "You are over 18 years old"
p = " you have the permission of a parent"
- Construct the statement sequentially.
You can see the movie (m) only if (⇒) you are over 18 years old (e) or (∨) you have the permission of a parent (p)
- Remove the phrases and you'll have your answer:
m ⇒ e ∨ p
Answer:
Step-by-step explanation:
I think you're asking how we use formulas to find areas and volumes.
There's no one area formula; the formula we use to calculate an area depends upon the shape.
For example, the area of a square of side length s is A = s^2.
The area of a triangle with base b and height h is (1/2)*b*h.
Similarly, the choice of formula for the purpose of calculating voume depends upon the shape of the 3-dimensional object.
For example, the volume of a cube with side length s is V = s^3.
The volume of a cylinder with radius r and height h is V = (1/3)πr^2*h.
Answer:
40 cents.
Step-by-step explanation:
If he has enough money to buy 6 markers ate $3 for 6 then he must have 30/6 * 3
= $15.
So 30 pencils cost 15 - 3 = $12.
Each pencil costs 12/30
= $0.4
= 40 cents.
