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MA_775_DIABLO [31]
3 years ago
7

Two cities Asheville and Boulder are 2.5 inches apart on a map. A third city well spring is located exactly halfway between Ashe

ville and Boulder. If the scale is 0.5 inches = 15 miles find the actual distance from wellspring to Boulder
Mathematics
1 answer:
mario62 [17]3 years ago
4 0

Answer:

75miles

Step-by-step explanation:

Let A be the location of Asheville, B be the location of Boulder and W be the location of wellspring.

If well spring is located exactly halfway between Asheville and Boulder, then;

AW + WB = AB

If Asheville and Boulder are 2.5 inches apart on a map, then AB = 2.5 inches

The actual distance from wellspring to Boulder is WB

Since W is the midpoint of A and B, then AW = WB. The equation becomes;

WB + WB = AB

2WB = AB

WB = AB.2

WB = 2.5/2

WB = 1.25 inches

Hence the distance from wellspring to Boulder is 1.25inches.

Since  0.5 inches = 15 miles on the map,

1.25inches = x

Cross multiply;

0.5x = 15 * 1.25

0.5x = 18.75

x = 18.75/1.25

x = 75miles

Hence the actual distance from wellspring to Boulder is 75miles

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Aleks [24]

Answer:

-39

Step-by-step explanation:

Simplify the following:

36/((-12)/13)

Multiply the numerator of 36/((-12)/13) by the reciprocal of the denominator. 36/((-12)/13) = (36×13)/(-12):

(36×13)/(-12)

The gcd of 36 and -12 is 12, so (36×13)/(-12) = ((12×3) 13)/(12 (-1)) = 12/12×(3×13)/(-1) = (3×13)/(-1):

(3×13)/(-1)

3×13 = 39:

39/(-1)

Multiply numerator and denominator of 39/(-1) by -1:

Answer:  -39

8 0
3 years ago
Which situation represents a non-proportional relationship?
denis-greek [22]

Answer:

Correct option:

"The total cost of renting a jet ski for $25 per hour plus a fee of $50."

Step-by-step explanation:

Proportional relationships are associations between two variables where the ratio of these two variables are correspondent. Or, in a proportional relationship, one variable is a constant value times the other variable. This constant is known as the "constant of proportionality".

The first three options represents a proportional relationship.

But the last option does not.

"The total cost of renting a jet ski for $25 per hour plus a fee of $50."

That is,

TC = 25·<em>h</em> + 50

The relationship is linear not proportional.

6 0
3 years ago
Write and expression with an exponent that has a value between 0 and 1
GenaCL600 [577]
X^(0.5)+2x+0.5 can be your answer - x^(0.5) means square root of x
4 0
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Greatest common factor of 4x-12
Helga [31]
Greatest common factor: 48
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I WILL AWARD BRAINLIEST!!<br><br> Find:<br><br> Given: ∆ABC ≅ ∆DEF<br> Find: AB, m∠F
madreJ [45]

Answer: AB=DE=6 units

m\angle{F}=m\angle{C}=50^{\circ}


Step-by-step explanation:

Given: ∆ABC ≅ ∆DEF

We know that if two triangles are congruent then their corresponding sides and angles are congruent. [By CPCTC]

Now, AB≅DE=6 units

Therefore, AB= 6units

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m\angle{F}\cong m\angle{C}=50^{\circ}\\\Rightarrow\ m\angle{F}\cong50^{\circ}


7 0
3 years ago
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