Answer:This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:
Plan I: Y=38+0.11X
Plan II: Y=49+0.07X
When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solve for the value of 
:
-Use <u>Distributive Property</u>:
-Combine like terms:
-Add both sides by 
:
-Divide both sides by 
:
Therefore, the value of is 
.
Answer:
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
if a die is rolled the sample space is
if two dice rolled the sample space is
so
The possible pairs are
The size of the event space x is
substitute
Simplify
No:
At first, it might appear that the number with a leftmost digit of 8 should be bigger than one with a left most digit of 3 because so long as the 3 and 8 have the same digit position, this will be the case;
The same applies if the 3 is at a lower digit position than the 8;
But, there is nothing in the statement to suggest that the 8 has the higher digit position, i.e. the numbers could be 3000 and 800;
In this case, the largest number has the leftmost digit of 3;
Therefore, you cannot tell which number will be bigger without any other information.
Given:
Two similar triangles AEB and ACD.
To solve for x, we can use ratio and proportion following the rule for similar triangles.
So,
AE / AD = AB / AC
Substitute values,
AE = AD - DE
AE = 6 - 5
AE = 1
1 / 6 = 2 / (2 + x + 4)
Solve for x
x = 6
then,
BC = x +4 = 6 + 4 = 10
AC = 2 + x + 4 = 12
Therefore, the measurements of the triangles are:
AE = 1
BC = 10
AC = 12
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