Answer:
h = 2.5
Step by step explanation:
We have been given an equation 
that models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill.
To find value of u we will solve our equation.
Upon using distributive property we will get,
Now let us add 18 to both sides of our equation.
Now let us combine like terms.
Upon dividing both sides of our equation by 10.5 we will get,
Therefore, value of u is 2.5.
Answer:
Step-by-step explanation:
Given the length of the bugs as shown;
Lady bug = 3/8
Ant = 1/4
Firefly = 7/8
Honey bee = 0.8
Deer tick = 0.2
Before we arrange the length in ascending order (shortest to longest), we will have to represent them in percentage.
Lady bug = 3/8×100
= 300/8
= 37.5%
Ant = 1/4×100
Ant = 25%
Firefly = 7/8 × 100
Firefly = 87.5%
Honey bee = 0.8×100
Honey bee = 80%
Deer tick = 0.2×100
Deer tick = 20%
On rearranging in ascending order:
20%, 25%, 37.5%, 80%, 87.5%
Based on the insect
Deer tick, Ant, ladybug, honey bee, Firefly
Based on their length:
0.2, 1/4, 3/8, 0.8, 7/8
Answer:
y = 100 - 2.5 x is the equation that represents her total profit from
the project
Step-by-step explanation:
The given is:
1. An electrician earns 100 dollars for a project installing light fixtures
2. She must pay for the light fixtures herself and they cost 2 dollars
and 50 cents each
3. x represent the number of light fixtures and y represent her
total profit
Her profit is the amount of money she has left over after paying for
the light fixtures
∵ The cost of each light fixtures is 2 dollars and 50 cents
- Let us change the cents to dollar
∵ $1 = 100 cents
∴ 50 cents = dollar
∴ 2 dollars and 50 cents = $2.5
∵ Her profit = The money she earns - The money she pays
∴ The cost of each light fixtures = $2.5
∵ She installs x light fixtures
∴ She pays 2.5 x dollar
∵ She earns $ 100 for installing x light fixtures
∵ Her profit is $y
∴ y = 100 - 2.5 x
y = 100 - 2.5 x is the equation that represents her total profit from
the project
Step-by-step explanation:
Answer:
f(x) = 3(2)^x
Step-by-step explanation:
The Table is:
<u>x</u> <u>f(x)</u>
-2 3/4
-1 3/2
0 3
1 6
2 12
The exponential funtion has the next form:
f(x) = a(b)^x
At x = 0, f(x) = a. Then, a = 3
Isolating b from the equation:
f(x)/a = b^x
ln(f(x)/a) = x*ln(b)
[ln(f(x)/a)]/x = ln(b)
At x = 1, f(x) = 6. Then:
[ln(6/3)]/1 = ln(b)
ln(2) = ln(b)
2 = b
Therefore, the function is f(x) = 3(2)^x
To find the area of a space, you have to multiply length by width.
18 x 10 = 180
