A scale on a hiking map shows that 1.5 inches represents 4 miles What number of actual miles are represented by 6 inches on the map

Answers

Answer 1

Answer:

Answer:

16 miles

Step-by-step explanation:

You have a proportion which relates inches in the map with miles, in this case 1.5 inches represents 4 miles, and this relation must be fulfilled for any other ratio. So,

$(4 miles)/(1.5 inches) = \frac{\text{any distance in miles}}{\text{any distance in inches}}$

You want to know how many miles are represented by 6 inches. Replacing in formula and solving for x

$(4 miles)/(1.5 inches) = (x)/(6 inches)$

$(4 miles)/(1.5 inches) * 6 inches = x$

$16 miles = x$

Answer 2

Answer:

Answer: 24 miles.

Step-by-step explanation:

1. You must keep on mind that, according the scale on the map, 1.5 inches represents 4 miles. Then, you can set up the following ratio:

$(1.5)/(4)=(6)/(x)$

Where x is the number of actual miles asked

2. You must solve for x, as following:

$(1.5)(x=4*6\nx=(24)/(1.5)\nx=16$

3. Therefore, 6 inches on the map represents 24 miles.

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What is the difference between 2,386 and 7,000? Check your answer using inverse operations.A. 5,614 B. 4,614 C. 9,386 D. 10,386
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A person on a moving sidewalk travels 18 feet in 9 seconds. The moving Sidewalk has a length of 80 feet. How long will it take to move from one end to another? The person will take ____ seconds you move from one end to another.

Answers

Answer:

40 seconds

Step-by-step explanation:

9 seconds = 18 feet

x seconds = 80 feet

then cross multiply

(9*80)/18 = x

x = 40

hence time = 40 seconds

Answer:

40 steps

Step-by-step explanation:

The Expression 4x^2-p(x)+7 leaves a remainder of -2 when divided by (x-3) find the value of pA) 11
B)-2
C)15
D)40

Answers

Answer:

(c) For p = 15, $4x^2-p(x)+7$ leaves a remainder of -2 when divided by (x-3).

Step-by-step explanation:

Here, The dividend expression is $4x^2-p(x)+7$ = E(x)

The Divisor = (x-3)

Remainder = -2

Now, by REMAINDER THEOREM:

Dividend = (Divisor x Quotient) + Remainder

If ( x -3 ) divides the given polynomial with a remainder -2.

⇒ x = 3 is a solution of given polynomial E(x) - (-2) =

$E(x) - (-2) = 4x^2-p(x)+7 -(-2) = 4x^2-p(x)+9$ = S(x)

Now, S(3) = 0

⇒ $4x^2-p(x)+9 = 4(3)^2 - p(3) + 9 = 0\n\implies 36 - 3p + 9 = 0\n\implies 45= 3p , \nor p =15$

or, p =1 5

Hence, for p = 15, $4x^2-p(x)+7$ leaves a remainder of -2 when divided by (x-3).

How many cubes with the side lengths of 1/2 cm does it take to fill the prisim?

Answers

Answer:

Number of cubes that fills the prism=24

Step-by-step explanation:

The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm

Volume of the prism= $Length*Width*Height$

$Length=2 cm\n\n Width=1 cm\n \n Height=3/2 cm = 1.5 cm$

Volume of Prism = $2*1*1.5$

$=3.0 cm^3$

Volume of the Cube:

$Side*Side*Side\n\n=0.5*0.5*0.5$

$= 0.125 cm^3$

Number of cubes that fills the prism:

$3.0/0.125\n\n=24 cubes$

So, the number of cubes that can fill the prism is '24'

Daniel worked for 213213 hours and earned $18.20. How much would he make if he worked for 514514 hours? Enter your answer in the box.

Answers

convert the hours to improper fractions

2 and 1/3 hours=2+1/3=6/3+1/3=7/3
5 and 1/4=5+1/4=20/4+1/4=21/4

ratio and proprtion
time/pay=(7/3)/18.2
if work 21/4 hours how much is pay
(7/3)/18.2=(21/4)/pay
times both sides by 18.2pay aka cross multiply
(7/3)pay=(21/4)18.2
(7/3)pay=382.2/4
times both sides by (3/7) to clear fraction (7/3 times 3/7=21/21=1)
pay=1146.6/28
pay=40.95

will earn $40.95 in 5 and 1/4 hours

How to solve how many 3/4s are in 2 with multiplication

Answers

Answer:

If you divide first (2 ÷ 3/4) just multiplu when you check your math.

Factorise:p^2-6p+5
do I need to find out what two numbers times together to get 5, and add to get -6? An explanation and answer would be great :/

Answers

Answer:

p²-6p+5

=(p-1)(p-5)

well i just have only an answer:
(p-5)(p-1)
sorry for the no explanation...
but ENJOY!!!

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