Answer:
Let total number of dog and cat population in animal shelter be x.
As per the statement:
An animal shelter has 9 puppies.
⇒ Total number of puppies = 9
It is also given that if the puppies are 36% of the total dog and cat population.
⇒
or
By cross multiply we get;
Divide both sides by 36 we get;
Therefore, total number of dogs and cat population in animal shelter are 25
The number of days that Aubrey can drive to stay in her budget is 5 days.
<h3>Inequality signs and their meanings</h3>
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
<h3>Equation that represents the question</h3>
Total amount that can be spent ≤ (cost to rent a car per day x number of days) + (cost per mile x total miles driven)
$130 ≤ ($22.15 x dd) + ($0.07 x 275)
<h3>Determination of the number of days that Aubrey can drive</h3>
130 ≤ ($22.15dd) + ($0.07 x 275)
130 ≤ $22.15dd + 19.25
130 - 19.25 ≤ $22.15dd
110.75 ≤ 22.15d
d ≤ 110.75 / 22.15
d ≤ 5
To learn more about inequality, please check: brainly.com/question/5031619
X=2/4=1/2
s=1 1/2
r= 1/2
y= 2/7
w= 1 2/3
p=2/5
Hope this works i can't see the others ok?
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
To start, we can multiply the fraction by (1 - sin(θ)). This yields:
Simplify. The denominator uses the difference of two squares pattern:
Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:
Split into two separate fractions:
Rewrite the two fractions:
By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:
Hence verified.