The width of a rectangle is two-thirds of its length, and its area is 216 square meters. What is the length? 12 m 18 m 27 m

Please help me with 1-4 and 6 and 7

Tom [10]

I could only get number one which was; 1.75

3 0

3 years ago

What are the zeroes of f(x) = x2 + 5x + 6?

Vera_Pavlovna [14]

Answer:

Zeros are x = −2, −3 .

Step-by-step explanation:

Given : f(x) = x² + 5x + 6.

To find : What are the zeroes of f(x).

Solution : We have given that

f(x) = x² + 5x + 6.

To find the zeros of the function we need to set f(x) = 0.

x² + 5x + 6 = 0.

On factoring

x² + 3x +2x + 6 = 0.

Taking common x from first two term and 2 from last two terms

x ( x + 3) +2 ( x +3) = 0.

On grouping

(x + 3) (x + 2) = 0

Now, x + 3 = 0 and x + 2 = 0

x = -3 and x = -2

Therefore, Zeros are x = −2, −3 .

3 0

3 years ago

Explain the difference between correlation and causation and what makes causation difficulty to prove?

bixtya [17]

Ausation vs. Correlation. Causation at its simplest definition refers to determining the cause or reason for some sort of phenomenon. ... A correlation is simply a recognized relationship between two things or events, but it does not implycausation. Rather, in cases of correlation, one thing or event predicts another. hope it helps

6 0

2 years ago

An account earns simple interest. $1800 at 6.5% for 30 months

Vikentia [17]

A = P(1 + rt)

Where:

A = Total Accrued Amount (principal + interest)
P = Principal AmountI = Interest Amount
r = Rate of Interest per year in decimal;
r = R/100
R = Rate of Interest per year as a percent;
R = r * 100
t = Time Period involved in months or years

Calculation:

First, converting R percent to r a decimal
r = R/100 = 6.5%/100 = 0.065 per year,
putting time into years for simplicity,
30 months ÷ 12 months/year = 2.5 years,
then, solving our equation

A = 1800(1 + (0.065 × 2.5)) = 2092.5 
A = $ 2,092.50

The total amount accrued, principal plus interest,
from simple interest on a principal of $ 1,800.00
at a rate of 6.5% per year
for 2.5 years (30 months) is $ 2,092.50.

5 0

3 years ago

Ian drinks 3 \text { pints}3 pints3, start text, space, p, i, n, t, s, end text of water during a long hike. He drinks 1\dfrac12

r-ruslan [8.4K]

Answer:

$Total = 7\frac{1}{2} cups$