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MariettaO [177]
3 years ago
11

The length of the freeway is 600 miles. If 0.5 inch represents 50 miles, what is the length of the freeway on the map ?

Mathematics
1 answer:
SOVA2 [1]3 years ago
5 0
How many 50 miles are in 600 miles :
600 miles / 50 miles = 12
There are 12 slices of 50 miles in 600 miles.

1 slice of 50 miles equals 0.5 inch
(1 slice × 0.5 inch = 0.5 inch)
so
12 slices of 50 miles equals 6 inches
(12 slices × 0.5 inch = 6 inches)

The lenght of the freeway on the map is 6 inches.







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In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors.
Ray Of Light [21]

Answer:

Students : Counselors : Teachers = 285: 20 : 12

Step-by-step explanation:

In the camp, the ratio of:

( C: S )  Counselors : Students   is  4   :  57

( T: C )  Teachers :   Counselors  is  3   :  5

To determine the ratio of   -  Students : Counselors : Teachers

Here given      -  C : S  = 4 : 57

Multiplying both sides by 5, we get

C: S  = 4 x 5  : 57 x 5  = 20 : 285

So, for every 20 counselors, there are 285 students      ...... (1)

Similarly, given   Teachers :   Counselors  is  3   :  5

Multiplying both sides by 4, we get

T  : C  = 3 x 4  : 5 x 4  = 12  : 20

So, for every 12  teachers, there are 20 Counselors      ...... (2)

Hence, in both equation 1 and 2 the number of counselors is same = 20 .

Hence, both the ratios acne be combined.

So we get C : S  = 20 : 285      and T : C  = 12: 20

Inverting the values

⇒  S : C  = 285 : 20         and C : T  = 20 : 12

or, S : C : T  = 285: 20 : 12

or, Students : Counselors : Teachers = 285: 20 : 12

Hence, for every 285 students there are 20 counselors and 12 teachers.

4 0
3 years ago
" Pentagon ABCDE and pentagon A’B’C’D’E’ are shown on the coordinate plane below.
vampirchik [111]
<span>The answer: b. translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis

If you make the drawing of the situation you realize the you need a reflection through the x-axis, but first you need to translate the polygon several units to the left and upward.

You can see that all the x-coordinates have increased 8 units, so the solution has to include x + 8.

Also, you see that you have to move the polygon 2 units upward before doing the reflection so the solution has to include y + 2.

So, the answer is (x,y) ---> (x + 8, y + 2) and then reflection across the x-axis.


</span>
6 0
3 years ago
Read 2 more answers
Put these numbers in order from greatest to least.<br> 1 6/8,-10/25,-18/25,1
goldenfox [79]

\textsf{Hey there!}

\textsf{Put these numbers in order from GREATEST to LEAST}

\bullet{\mathsf{ \ 1\dfrac{6}{8}}}

\bullet\mathsf{\ -\dfrac{10}{25}}

\bullet{\mathsf{\ -\dfrac{18}{25}}}

\bullet{\textsf{ 1}}

\star\textsf{ We know that fractions, decimals, negatives are BELOW 0 (on the left} \textsf{of 0)}

\star\textsf{ \& we also know that positives and real numbers is/are ABOVE 0 (to the right} \textsf{of 0)}

\textsf{Now we can answer your question}

\blacksquare \ \mathsf{1\dfrac{6}{8} = \dfrac{14}{8} = 1.75}

\blacksquare\ \mathsf{-\dfrac{10}{25} = -0.40}

\blacksquare\ \mathsf{- \dfrac{18}{25} = -0.72}

\blacksquare \ \mathsf{1 = 1}

\textsf{Look carefully at the stuff converted to the decimal or regular number \& } \textsf{you will  have your answer from \underline{greatest} to \underline{least}}

\boxed{\textsf{If you solved correctly you  SHOULD have: \boxed{\mathsf{\dfrac{14}{8}, \ 1, \ - \dfrac{10}{25}\ ,\  -\dfrac{18}{25}}}}}\checkmark

\textsf{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

5 0
3 years ago
Joe is considering taking out along with the principal of $15,500 From one of two banks. Bank A charges and interest rate of 6%,
ki77a [65]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total cost of the loan at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount taken as loan.

Considering bank A's offer

From the information given,

P = $15500

r = 6% = 6/100 = 0.06

n = 12 because it was compounded 12 times in a year.

t = 8 years

Therefore,

A = 15500(1 + 0.06/12)^12 × 8

A = 15500(1 + 0.005)^96

A = 15500(1.005)^96

A = $25019.2

The interest paid is

25019.2 - 15500 = $9519.2

Considering bank B's offer

From the information given,

P = $15500

r = 6.5% = 6.5/100 = 0.065

n = 12 because it was compounded 12 times in a year.

t = 7 years

Therefore,

A = 15500(1 + 0.065/12)^12 × 7

A = 15500(1 + 0.0054)^84

A = 15500(1.0054)^84

A = $24366

The interest paid is

24366 - 15500 = $8866

The interest that would by paid on bank B's offer is lower than that of bank A and the duration of the loan offer from bank B is shorter than that of bank A.

Therefore,

Bank A gives you more time to pay up the loan and you end up paying more interest

Bank gives you lesser time to pay up the loan and you end up paying lesser interest.

3 0
3 years ago
What is the sum of 1.3 and 5.07
love history [14]

Answer:

The asnwer is 6.37 y

Step-by-step explanation:

You have to add them sum means addition

I hope this helps

5 0
3 years ago
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