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vitfil [10]
3 years ago
7

A map of New Brunswick is drawn to scale. The actual distance from the food trucks to Rutgers University Stadium is 9.5 miles. O

n the map, this distance is 3.8 inches. If on the map the distance from Centennial Park to the train station is 1.6 inches, what is the actual distance?
Mathematics
1 answer:
Arisa [49]3 years ago
6 0

Answer:

4 miles

Step-by-step explanation:

we can set up a ratio for this:

\frac{3.8 in}{9.5 mi} = \frac{1.6 in}{x}

cross-multiply:

3.8x = (1.6)(9.5) --> 3.8x = 15.2

divide both sides by 3.8 to simplify:

x = 4 miles

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Answer:

$3.23

Step-by-step explanation:

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5 0
2 years ago
Evaluate the numerical expression<br> [18 Divided by (2 x 3)] x 4
Nastasia [14]
P: parenthesis
E: exponents
MD: multiplication or division (whichever comes first left to right)
AS: addition or subtraction (whichever comes first left to right)

This is the order of operations. We will use this to solve the equation correctly.
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6 0
3 years ago
Find the length of QP given Q is the midpoint of XF, PQ =2X+1, XF=7X-4, PF=X
nadezda [96]

Answer:

Therefore the length of QP = 3.4 units

Step-by-step explanation:

Given:

PQ = 2x + 1

XF = 7x - 4

PF = x

Q is the mid poimt of XF

∴ XQ = QF

QF = PQ - PF  ..........( Q - F - P )

     = 2x + 1 - x

∴ QF      = x + 1

∴ XQ = QF = x + 1

TO Find:

QP = ?

Solution:

By Addition Property we have

XP = XQ + QF+PF ..........(X-Q-F-P)\\\\

XF + PF =XQ + QF+PF ..........(X-Q-F-P)\\

Substituting the given values in above equation we get

(7x - 4) + x = (x +1) + (x +1) + x

8x -4 = 3x +2

8x - 3x + 4 + 2

5x = 6

∴ x = \frac{6}{5}

Now we require

QP = (2x + 1)

∴ QP = 2\times \frac{6}{5} +1\\\\QP = \frac{12+5}{5} \\\\QP =\frac{17}{5} \\\\\therefore QP = 3.4\ unit

Therefore the length of QP = 3.4 units

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