Answer:
X/10 and 6/2
Step-by-step explanation:
We don't know how talk the pole is so that is X. The shadow of the pole is 10 feet so that is the denominator. The man is 6 feet tall so that is the numerator of the second fraction. The denominator is 2 because that's how long his shadow is.
The pattern is multiple the previous term by three. So you take 162 and multiply it by three and get 486 (3x162=486)
Answer:
6032 gallons
Step-by-step explanation:
The diameter of the cylindrical swimming pool is 16 ft
The height(h) of the pool is 4 ft
Volume of a cylinder is given by;
Volume (v) = π × r² × h
Radius (r) = 16/2 ft = 8 ft
v = π × (8 ft)² × 4ft = 804.247719319ft³
Given; 1ft³ = 7.5 gallons (gal)
804.247719319ft³ would equal to how many gallons?
Cross multiplying gives,
× 7.5 gal = 6031.85789489
Which equals to 6032 gallons rounded up to whole number.
First we need to write the equations for the given scenario. Using the equations, we can form a system of matrix for the situation.
Let the customer buys, x pounds of almonds, y pounds of cashews and z pounds of walnuts. Since he buys 12 pounds of mixed nuts, we can write:
Total cost of these mixed nuts was $118. So we can write:
Customer buys 2 more pounds of walnut than cashews. So, we can write:
Using these equations, we can set up the system of matrix as shown below in the image.
Let's solve your inequality step-by-step.
|−5−3x|>2
|−3x−5|>2
Solve Absolute Value.
|−3x−5|>2
We know either−3x−5>2or−3x−5<−2
−3x−5>2(Possibility 1)
−3x−5+5>2+5(Add 5 to both sides)
−3x>7
−3x
/−3
>
7
/−3 (Divide both sides by -3)
x<
−7
/3
−3x−5<−2(Possibility 2)
−3x−5+5<−2+5(Add 5 to both sides)
−3x<3
−3x
/−3
<
3
/−3 (Divide both sides by -3)
x>−1
Answer:
x<
−7
/3 or x>−1
Step-by-step explanation: