Respuesta :
Part 1) Jose worked 2.5 hours more than William. Together, they worked a total of 22 hours
Let
J---------> the number of hours worked by Jose
H--------> the number of hours worked by William
we know that
J+H=22 -------> equation 1
J=2.5+H -----> equation 2
Substitute the equation 2 in equation 1
[2.5+H]+H=22
therefore
the answer Part 1) is the option
B: H + (H + 2.5) = 22
Part 2) The product of 2 and the sum of a number and 8 is equivalent to 16.
Which equation models this sentence?
Let
n--------> the number
we know that
2*(n+8)=16
therefore
the answer is the option
D: 2(n + 8) = 16
Part 3) Fifteen is the same as the product 3 and a number
Which equation models this sentence?
Let
x-------> the number
we know that
[tex]15=3x[/tex]
therefore
the answer is the option
A: 15 = 3x
Part 4) Kevin gave Ben $4.90 in dimes and quarters. If 10 coins were quarters,
how many coins were dimes? Which equation models this problem?
Let
d-------> number of dime's coin
we know that
1 quarter=$0.25
1 dime=$0.10
so
10*0.25+d*0.10=4.90 ------> the equation that models this problem
solve for d
0.10*d=4.90-10*0.25
0.10*d=4.90-2.5
0.10*d=2.4
d=24 coins of dimes
therefore
the answer is
Part 4a) The number of dime's coin is 24
Part 4b) the equation that models this problem is the option
D: 0.25 * 10 + 0.1 * d = 4.90
Part 5) the 5th question is blank