Answer:
Red = 25/32768
Blue = 4/64
Step-by-step explanation:
Green Marbles = 1
Red Marbles = 5
Blue Marbles = 2
Probability of picking a red marble = 5/8 x 5/8 x 5/8 x 5/8 x 5/8 = 25/32768
Probability of picking a blue marble = 2/8 x 2/8 = 4/64
Answer:
The length of the garden=14 feet
Step-by-step explanation:
<em>Step 1: Determine the dimensions of the garden</em>
length of the garden=x feet
width of the garden=(x-4) feet
<em>Step 2: Determine the area of the garden</em>
Area of the garden=length×width
where;
area=140
length=x
width=x-4
replacing'
x(x-4)=140
x²-4x-140=0, solve the quadratic equation;
x={-b±√(b²-4ac)}/2a
x={4±√4²-4×1×-140}/2×1
x={4±√(16+560)}/2
x={4±√576}/2
x=(4±24)/2
x=(4+24)/2=14, or (4-24)/2=-10, take x=14
The length=14 feet, width=(14-4)=10 feet
The length of the garden=14 feet
Answer:
(1,4)
Step-by-step explanation:
(1,-4) is over 1 and down negative 4 so reflected over the x-axis(the horizontal one) it would be four up so the answer is (1,4)
Answer:
87.5 by 70 inches
Step-by-step explanation:
No options were given. So, I will calculate the minimum width
Given

Height = 70 in ---- of the printed logo
Required
Determine the dimension that keeps the requirement
Let x be the width of the printed logo.
So, the ratio can be represented as:

Equate both ratios

As fraction

Multiply through by 70


So, one of the dimension that meets the requirement is a width of 87.5 inches