Answer:
let ratio be 3x,11xand13x
perimeter=298cm
3x+11x+13x=298
27x=298
x=298/27=11approax
shortest side=3×11=33
Step-by-step explanation:
you are right .
Answer:
Step-by-step explanation:
Use the basic simple interest formula:
P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:
P * r * t = I
Acct 1
Acct 2
If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other. We will fill those in along with the interest rates in decimal form and the time of 1 year:
P * r * t = I
Acct 1 x .04 1
Acct 2 1500-x .05 1
Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:
P * r * t - I
Acct 1 x .04 1 .04x
Acct 2 1500-x .05 1 .05(1500-x)
The total Interest earned by the addition of the interest earned from both accounts is 69.50. So we add the interest column together and set it equal to 69.50:
.04x + .05(1500 - x) = 69.50 and
.04x + 75 - .05x = 69.50 and
-.01x = -5.5 so
x = 550
That's how much money is in the account earning 4% interest.
Answer:
we dont know an exact but
Over 1 million marine animals (including mammals, fish, sharks, turtles, and birds) are killed each year due to plastic debris in the ocean
Step-by-step explanation:
Currently, it is estimated that there are 100 million tons of plastic in oceans around the world.
Answer:
(1,1)
Step-by-step explanation:
Since y=x, we can say x=x^2-x+1. This means x^2-2x+1=0. x=1, y=1, thus your solution is (1,1).
Answer:
8 years
Step-by-step explanation:
Lets write an equation for Type A
The initial value is 5 ft and the slope 12 inches
We need to have the same units, so lets change 5 ft to inches
5 ft * 12 inches / ft = 60 inches
y = mx+b
y = 12 x + 60
Lets write an equation for Type B
The initial value is 3 ft and the slope 15 inches
We need to have the same units, so lets change 3 ft to inches
3 ft * 12 inches / ft = 36 inches
y = mx+b
y = 15 x + 36
We want to know when y is the same value. We can set the equations equal.
12x + 60 = 15x+36
Subtract 12 x from each side
12x-12x+60 = 15x-12x +36
60 =3x+36
Subtract 36 from each side
60-36 = 3x+36-36
24 = 3x
Divide each side by 3
24/3 = 3x/3
8 =x
It will take 8 years for the trees to be the same height
