Answer:
Each kid will get 2.5 submarine sandwiches
Step-by-step explanation:
Answer: 44 miles
WORKINGS
Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown
Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.
The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL
Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles
Therefore, The distance between Dayton and Lima, DL = 52 miles
The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.
That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles
Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
Answer:
a = (p - 3b)/10
Step-by-step explanation:
Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction).
p = 10a + 3b
First, subtract 3b from both sides.
p (-3b) = 10a + 3b (-3b)
p - 3b = 10a
Next, isolate the a. Divide 10 from both sides.
(p - 3b)/10 = (10a)/10
(p - 3b)/10 = a
a = (p - 3b)/10 is your answer.
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Answer:
Geometric Sequence
Step-by-step explanation:
In this case it is Geometric Sequence as it has a common ratio of 5
Formula for nth term: a(n) = ar∧n-1
so if we take the third term we will calculate as follows:
50 = 2(r)∧3-1
50÷2 = r∧2
√25= r
r=5
h = t - 15
h + t = 33
Because we have a value of h, we can plug it into the second equation to solve for t.
t - 15 + t = 33
Add 15 to both sides.
t + t = 48
Combine like terms.
2t = 48
Divide both sides by 2.
t = 24
<h3>Thomas's age is 24.</h3>
