If you need to evaluate the answer is 1.2
5 inches because u add 1 and 4
Declan has 9 dimes and 8 quarters in his pocket.
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Equation</h3>
An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of dimes and y represent the number of quarters.
A dime is worth 10 cents. A quarter is worth 25 cents.
Hence:
x + y = 17 (1)
Also:
10x + 25y = 290 (2)
From equation 1 and 2:
x = 9, y = 8
Declan has 9 dimes and 8 quarters in his pocket.
Find out more on equation at: brainly.com/question/22688504
Answer: 1406.25
Step-by-step explanation:
The soccer field at a park is 9,000 square yards. The soccer field takes up 6 2/5 square inches on the map of the park. How many square yards does 1 square inch on the map represent? Show your work. Help me pls
Given that:
Area of soccer field = 9000 sq yards
Soccer field takes up 6 2/5 square inches on the map of park
Hence,
9000 yd² = 6 2/5 in²
Let 1 in² on map = m
9000 yd² = 32/5 in² - - - (1)
m = 1 in² - - - (2)
Cross multiply ;
6.4 * m = 9000
m = 9000/6.4
m = 1406.25
Hence,
1 in² on map = 1406.25 feet²
900
Let the running speed if Daniel be r mph, then his biking speed is (r+3) mph, because "His running speed is 3 mph slower than his biking speed. "
let the time it took Daniel to get to his friend's house be t hours, then the time it took him to go to his house, from his friend,s house is (2-t) hours , because "His total running and biking time is 2 hours."
the main formula we need to solve this problem is:
Distance=Speed*Time
Daniels biking speed, (r+3) , is Distance/Time=2/(2-t)
so (r+3)=2/(2-t)
we also have the equation 5=rt, because
"Daniel leaves school and runs 5 miles to his friend's house"
we substitute t, by 5/r in the previous equation:
(r+3)=2/(2-t)
(r+3)=2/(2-5/r)
(r+3)(2-5/r)=2
2r-5+6-15/r=2
2r-1-15/r=0
multiply by r:
2r^2-r-15=0
the expression in the left side can be factorized as (2r+5)(r-3), so the equation becomes:
(2r+5)(r-3)=0,
and the roots are r=-5/2, which is not possible in our problem,
and r=3
Daniel's biking speed is r+3=3+3=6 (mph)
Answer: 6 mph