Label each nut with a variable, c = cashews, p = peanuts.....
for a 10-pound mix, you will need c + p = 10
the price for 10-pounds would become 3.29 x 10 = 32.90
You will need an unknown amount of cashews at 5.60/lb and an unknown amount of peanuts at 2.30/lbs to get your full 10 pounds valued at 32.90
5.60c + 2.30p = 32.90
Now you 2 have a system of 2 equations and 2 unknowns
c + p = 105.6c + 2.3p = 32.9utilize substitution to solve:p = 10-c
5.6 c + 2.3 (10-c) = 32.9
solve for c then substitute back into c + p = 10 to solve for P
Hope this helps!
Step-by-step explanation:
Hey there!
Given;
Radius of a circle (r) = 7cm
Now;
We know that;
Area of circle (a) = π*(r^2)
= 3.14*(7^2)
= 3.14*49
= 153.86 cm^2
Therefore, the area of a circle is 153.86 cm^2.
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
10
Step-by-step explanation:
Remember
(x^m)(x^n)=x^(m+n)
and difference of 2 perfect squres
(a²-b²)=(a-b)(a+b)
and sum or difference of 2 perfect cubes
so
(x^3)(x^3)(x^3)=x^(3+3+3)=x^9
so
x^9=3*3*x^3
x^9=9x^3
minus 9x^3 both sides
0=x^9-9x^3
factor
0=(x^3)(x^6-9)
factor difference of 2 perfect squraes
0=(x^3)(x^3-3)(x^3+3)
factor differnce or sum of 2 perfect cubes (force 3 into (∛3)³)
0=(x³)(x-∛3)(x²+x∛3+∛9)(x+∛3)(x²-x∛3+∛9)
set each to zero
x³=0
x=0
x-∛3=0
x=∛3
x²+x∛3+∛9=0 has no solution
x+∛3=0
x=-∛3
x²-x∛3+∛9=0 has no solution
so the solutions are
x=-∛3, 0, ∛3
Answer:
The answer is rotation 270° about the origin
Step-by-step explanation:
If (x , y) is a point in xy-coordinates
If the point rotate about the origin ⇒ (The positive direction is anti-clockwise)
1- 90°
Its image is (-y , x)
2- 180°
Its image is (-x , -y)
3- 270°
Its image is (y , -x)
If we assume A is (1 , 7)
1- ⇒ (-7 , 1) ⇒ rotation 90° about the origin
2- ⇒ (-1 , -7) ⇒ rotation 180° about the origin
3- ⇒ (7 , -1) ⇒ rotation 270° about the origin
∵ x-coordinate of point A small and +ve and y-coordinate large and +ve
∵ x-coordinate of point A' large and +ve and y-coordinate small and -ve
∴ The answer is rotation 270° about the origin
∴ The answer is rotation 270° about the origin
