On a map, 1 inch equals miles. Two houses are inches apart on the map. What is the actual distance between the houses? Use pen
1 answer:
Answer:
The actual distance between the houses is 18.9 miles.
Step-by-step explanation:
The exact question is as follows :
Given - On a map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.
To find - What is the actual distance between the houses?
Solution -
Given that,
1 inch = 5.4 miles
⇒3.5 inches = 3.5 × 5.4 miles
= 18.9 miles
∴ we get
The actual distance between the houses is 18.9 miles.
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Hannah is 1 year old today.
Step-by-step explanation:
Let,
Hannah = x
Biff = y
According to given statement;
y = x+25 Eqn 1
In four years;
y+4 = 6(x+4) Eqn 2
Putting value of y from Eqn 1 in Eqn 2;
Dividing both sides by 5
As x is age of Hannah, therefore,
Hannah is 1 year old today.
Keywords: linear equations, substitution method
Learn more about linear equations at:
#LearnwithBrainly
Answer:
The simplest form of the fraction is
.
i.e.
Step-by-step explanation:
Here are some simple observations regarding how to reduce a fraction into simpler terms:
- A fraction is reduced to lowest or simplest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.
- In order to reduce a fraction to lowest or simplest terms, divide the numerator and denominator by their (GCF). Note that (GCF) is also called Greatest Common Factor .
So, lets take a sample fraction and reduce into simpler terms.
Considering the fraction
so
Therefore, the simplest form of the fraction is
.
i.e.
It will take 8 seconds for all of the dominoes to fall over.
This will be an exponential function. To find the growth rate, we can write out the terms of the sequence that goes along with it: 10, 20, 40, ...
"Growth rate" is the same as percent of increase or decrease. We find the amount of increase and divide by the original amount: 20-10 = 10 increase; 10/10 = 1.
The exponential function is of the form
f(x) = a*(1+r)ˣ, where a is the initial value (10), r is the growth rate (1), and x is the number of time periods. Using the variables given to us in the problem along with this information, we have:
Divide both sides by 10:
We will use logarithms to solve this:
This will be an exponential function. To find the growth rate, we can write out the terms of the sequence that goes along with it: 10, 20, 40, ...
"Growth rate" is the same as percent of increase or decrease. We find the amount of increase and divide by the original amount: 20-10 = 10 increase; 10/10 = 1.
The exponential function is of the form
f(x) = a*(1+r)ˣ, where a is the initial value (10), r is the growth rate (1), and x is the number of time periods. Using the variables given to us in the problem along with this information, we have:
Divide both sides by 10:
We will use logarithms to solve this: