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Alex73 [517]
3 years ago
13

A map of a town has no scale. You know that the distance between the bus stop and the park is 6 miles. On the map it is 3 inches

. Also, on the map you know the distance from the park to the house is 8 inches. What is the actual distance in miles between the park and the house?
Mathematics
2 answers:
slamgirl [31]3 years ago
7 0

As was the case in your previous question, this problem involves setting two ratios equal to each other. We call such an equation a proportion.

 

16 miles   =   x miles

(1/2) inch      2 3/4 inches

 

x = (11/4) * 16 = (11/4) * 2 * 16 = 88 miles

      (1/2)

Thepotemich [5.8K]3 years ago
6 0

Answer:

The answer is 16

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(-2/3)^7*(3/5)^6*(5/6)^5*(1/3)^-7 simplify of law of indices ​
Wewaii [24]

Answer:

\boxed {-\frac{12}{5}}

Step-by-step explanation:

Solve the following expression:

(-\frac{2}{3})^{7} \times (\frac{3}{5})^{6} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-Calculate -\frac{2}{3} to the power of 7:

(-\frac{2}{3})^{7} \times (\frac{3}{5})^{6} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-\frac{128}{2187} \times (\frac{3}{5})^{6} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-Calculate \frac{3}{5} to the power of 6:

-\frac{128}{2187} \times (\frac{3}{5})^{6} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-\frac{128}{2187} \times (\frac{729}{15625}) \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-Multiply both -\frac{128}{2187} and \frac{729}{15625}:

-\frac{128}{2187} \times (\frac{729}{15625}) \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-\frac{128}{46875} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-Calculate \frac{5}{6} to the power of 5:

-\frac{128}{46875} \times (\frac{5}{6})^{5} \times (\frac{1}{3})^{-7}

-\frac{128}{46875} \times (\frac{3125}{7776}) \times (\frac{1}{3})^{-7}

-Multiply both -\frac{128}{46875} and \frac{3125}{7776}:

-\frac{128}{46875} \times (\frac{3125}{7776}) \times (\frac{1}{3})^{-7}

-\frac{4}{3645} \times (\frac{1}{3})^{-7}

-Calculate \frac{1}{3} to the power of -7:

-\frac{4}{3645} \times (\frac{1}{3})^{-7}

-\frac{4}{3645} \times 2181

-Multiply both the -\frac{4}{3645} and 2187:

-\frac{4}{3645} \times 2181

\boxed {-\frac{12}{5}}

Therefore, the final answer is -\frac{12}{5}.

3 0
3 years ago
Is x = 1 a function?​
GaryK [48]

Answer:

No

Step-by-step explanation:

A function is an equation for which any  x value matches with  exactly one  y value .

x=1 matches with any y answer (as y is not included in the equation), so it is not a function.

**This question involves the definition of functions, which you may wish to revise. I'm always happy to help!

7 0
3 years ago
Read 2 more answers
Kyle has to make a decision about his health insurance. Under one plan, the monthly cost of insurance is $15, but if he visits a
tester [92]

100 - 0.05 = 0.95

Expected monthly cost =

Monthly cost x 0.95 + office visit x 0.05

15 x 0.95 + 50 x 0.05

14.25 + 2.50 = $16.75

8 0
3 years ago
Read 2 more answers
Please help me gow to this bro , im confused
Airida [17]
Ok so remember that a circle is 360 degrees and a line is 180 degrees
so

IKJ
ok so we see that we have a triangle
to find the internal angles (which add to 180)
we do, opposite angles are equal
JIK=59
also CJI+KJI=180 so 132+KJI=180, KJI=48
so
59+48+IKJ=180
73=IKJ




HIB
we can assume that AB is paralell to CD
so therefor IJK=HIB=48 (from previous question)

EIJ is adding to EIH to get 180
EIJ+59=180
EIJ=121

AIK=AIJ+JIK
JIK=59
AIJ=HIB=48
AIK=59+48=107


IKJ=73
HIB=48
EIJ=121
AIK=107
6 0
3 years ago
Barry bought 21 stamps from a hobby shop. he gave 3/7 of them to his sister, how many stamps did he have left?
Alex17521 [72]
He gave away 9 (20 x (3/7) =9) so 21-9=12
7 0
3 years ago
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