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bazaltina [42]
3 years ago
5

On a map,1 in. represents 12 mi. Two cities are 6 1/2 in. on a map. How far apart are the actual cities? A. 78 mi B. 72 1/2 mi C

.72 mi D. 18 1/2 mi
Mathematics
1 answer:
Dovator [93]3 years ago
3 0
1 inch= 12 miles


Multiply 6 1/2 inches by total number of miles per 1 inch (12).

= 6 1/2 * 12
convert to improper fraction

= 13/2 * 12
multiply numerators

= (13*12)/2
multiply in parentheses

= 156/2
divide

= 78 miles


ANSWER: (A) 78 miles

Hope this helps! :)
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The sum of four consecutive integers is 342. What is the third term in the sequence
Fofino [41]

Answer:

86

Step-by-step explanation:

let  four consecutive integers: n  , n+1  , n+2  , n+3

n  + n+1  + n+2 + n+3 = 342

4n + 6 = 342

4n + 6  - 6  = 342 - 6

4n = 336

divid by : 4

n = 84

but the third term is : n +2   so : 84+2 = 86

4 0
3 years ago
The area of a rectangle is expressed as (14x + 28) square feet. If the width of the rectangle is 7 feet, write an expression to
DochEvi [55]

Answer:

The expression for the length of the rectangle is 2x + 4

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of a rectangle is expressed as (14x + 28) square feet. If the width of the rectangle is 7 feet, then the expression for the length of the rectangle would be

Length = Area/ width

= (14x + 28)/7

The numerator has a common factor of 7. Therefore, if we factorize 7 out, it becomes

7(2x + 4)/7

Length = 2x + 4

7 0
3 years ago
Please please please help me
Gwar [14]
A) 15/4 = 4/4+4/4+4/4+3/4= 3 3/4
B)9/2= 2/2+2/2+2/2+2/2+1/2= 4 1/2
c = 26/12 = 12/12 + 12/12 + 2/12 =  2 2/12
d) 20/6 = 6/6 + 6/6 + 6/6 + 2/6 = 3 2/6
8 0
3 years ago
Below are the range and standard deviation for a set of data. Use the range rule of thumb and compare it to the standard deviati
Liula [17]

Solution: We are given:

Range =2.76

Standard-deviation=0.807

Now let's find the estimated value of standard deviation using the range rule of thumb. According to range rule of thumb, the estimate of standard deviation is:

S\approx \frac{2.76}{4}= 0.690

Therefore the estimated standard deviation is 0.690

is this an acceptable​ approximation?

Answer: c. Yes​, because the error of the range rule of​ thumb's approximation is less than​ 15%.

Explanation:

The difference between estimated standard deviation and actual standard deviation is:

0.807 - 0.690 = 0.117

Now let's find the percentage of error

\frac{0.117}{0.807} \times 100= 14.50\%.

Therefore, the error of the range rule of​ thumb's approximation is less than​ 15%.

4 0
3 years ago
Can anyone help me with theses problems?
horrorfan [7]
A (-1,4)
B (7,-3)
C (-3,-1)

5 0
3 years ago
Read 2 more answers
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