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hoa [83]
2 years ago
14

A map of Atlanta has a scale of 1.5 inches to 0.75 miles.

Mathematics
1 answer:
Sidana [21]2 years ago
7 0

Answer:

There is a 1.5 mile gap between the two roads.

Step-by-step explanation:

Since the scale on the map is 1.5 inches for every 0.75 miles, then 3 inches on the map would equal 1.5 miles.

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A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint I order to make green paint.Which ratio of gallons of
julia-pushkina [17]

Answer:

10:18   10 gal of blue paint and 18 gal of yellow paint.

Step-by-step explanation:

5 0
3 years ago
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Show that each of these conditional statements is a tautology by using truth tables. a) [¬p ∧ (p ∨ q)] → q b) [(p → q) ∧ (q → r)
nlexa [21]

Step-by-step explanation:

To show that a statement is a tautology using truth table - is to show that all the entries in the expression are truths T.

We can do this by taking each statement, expression by expression. For example, to show that

[~p ∧ (p ∨ q)] → q

is a tautology, knowing we have 3 columns, we have 2^3 = 8 rows. We start by putting putting truth values for p, q, and r respectively

Next, we find ~p, then find (p ∨ q), then find ~p ∧ (p ∨ q), before finally arriving at the required [~p ∧ (p ∨ q)] → q

TERMINOLOGIES AND SYMBOLS

- T means Truth

- F means False

- ~p means negation of p.

~p is F if p is T, and vice versa

- ∧ means conjunction.

p ∧ q is T only if p is T and q is T.

- ∨ means disjunction.

p ∨ q is T if either p or q is T.

- → is for conditional 'if then'

p → q is T if both p and q are T, or both p and q are F, or p is F and q is T, otherwise, it is F.

THE STEP BY STEP WORKINGS FOR THE STATEMENTS GIVEN ARE IN THE ATTACHMENT.

8 0
3 years ago
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Which set of ordered pairs is a function?
Juliette [100K]

Answer:the answer is {( -5,1),(-3,2),(-1,3),(1,4),(3,5)}

Step-by-step explanation: The x should not repeat

6 0
3 years ago
How do i know when a set of ordered pairs that represents a function?
pav-90 [236]

Answer:

How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!

Step-by-step explanation:

5 0
3 years ago
Quadrilateral PAID is a rectangle whose diagonals have the endpoints P(-3, -2)I(4, -7) and A(4, -2)D(-3, -7). Find the diagonals
BARSIC [14]

Answer:

(0.5,-4.5)

Step-by-step explanation:

The given rectangle has diagonals have the endpoints P(-3, -2) ,I(4, -7) and A(4, -2) ,D(-3, -7)

The diagonals of the rectangle bisect each other so we use the midpoint formula to find their point of intersection.

The midpoint formula is;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

We use any pair of endpoints of the diagonals to find the point of intersection.

Using A(4, -2) ,D(-3, -7)

(\frac{4+-3}{2},\frac{-2+-7}{2})

(\frac{1}{2},\frac{-9}{2})

or

(0.5,-4.5)

7 0
3 years ago
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