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3 years ago

Write a unit rate for the situation. 270 miles in 6 hours ___miles per hour

Mathematics

2 answers:

ra1l [238]3 years ago

4 0

Answer:

I believe it it 13 miles per hour.

Step-by-step explanation:

We know that an object travels 270 miles, so the rate is 270 miles.

---------------------------------

6 hours

1 mile = 5,280 feet 1 day = 24 hours

5,280 x 270 = 425,600 1 hour = 3600 seconds

270 miles = 425,600 feet 3600 x 6 = 21,600

3600 x 24 = 86,400

Fraction: Fraction:

425,600 feet 4,256 ft 21,600 sec 1

------- = ----- ------------ = -------- hour

5,280 feet 528 ft 86,400 sec 4

4,256/528 ÷ 1/4 = 4,256/528 x 4/1 (reciprocal) = 17,024/528 = 439/33 = 13

Hope this helps! :)

allsm [11]3 years ago

3 0

270/6 = 45 miles per hour

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To graduate this semester, you must pass Statistics 314; and you estimate that you have an 85% chance of passing. You need to pa

Nitella [24]

Answer:

Probability of graduating this semester is 0.7344

Step-by-step explanation:

Given the data in the question;

let A represent passing STAT-314

B represent passing at least in MATH-272 or MATH-444

M1 represent passing in MATH-272

M2 represent passing in MATH-444

C represent passing GERMAN-32

now

P( A ) = 0.85, P( C ) = 90, P( M1 ) = P( M2 ) = 0.8

P( B ) = P( pass at least one of either MATH-272 or MATH-444 ) = P( pass in MATH-272 but not MATH-444 ) + ( pass in MATH-444 but not in MATH 272) + P( pass both )

P( B ) = P( M1 ) × ( 1 - P( M2 ) ) + ( 1 - P( M1 ) ) × P( M2 ) + P( M1 ) × P( M2 )

we substitute

⇒ 0.8×0.2 + 0.2×0.8 + 0.8×0.8 = 0.16 + 0.16 + 0.64 = 0.96

∴ the probability of graduating this semester will be;

⇒ P( A ) × P( B ) × P( C )

we substitute

⇒ 0.85 × 0.96 × 90

⇒ 0.7344

Probability of graduating this semester is 0.7344

6 0

3 years ago

Circle P is shown. Line segment P Q is a radius and has a length of 9. Line Q R is a tangent that intersects the circle at point

Eduardwww [97]

Answer:

X=6

Step-by-step explanation:

We need to remember the theorem that Tangent always makes a right angle at the point of contact with the circle.

Given details-

PQ=9= circle radius

QR=12

As given in the question

PQ is the radius

PQ=PY (since both are the radius to the circle)

⇒If the line QR = tangent than ∠ PQR must be 90°

Hence Δ PQR is a right-angled triangle with hypotenuse PR

PQ²+QR²=PR² (Pythagoras theorem)

∴Substituting the value of PQ, QR

⇒We get (9)² +(12)² = PR²

PR²= 225

⇒PR=15

As clear in figure PR= PY+YR

∴15=9+x

⇒ YR(x)= 6cm

5 0

3 years ago

Read 2 more answers

The following are the ages (years) of 5 people in a room:

Maksim231197 [3]

Answer:

the age of the person that entered the room is 37

Step-by-step explanation:

$m=\frac{sum of terms}{number of terms}$

$\frac{x}{6} =21\\$

x=126

12+21+25+18+13=89

126-89=37

6 0

2 years ago

Read 2 more answers

WUTS THE ANSWER IM SO LOST I NEED HELP!!! :(

Alex_Xolod [135]

1/6 = 0.16 acres in 8 minutes.

--

0.16 ÷ 8 = 0.02 acres mowed in 1 minute.

--

(60 minutes in an hour)

0.02 x 60 = 1.2 acres mowed in an hour.

--

1.2 is equal to 1 1/5, and jami needs to mow 1 1/2 acres. so no, jami cannot mow 1 1/2 acres in an hour.

6 0

3 years ago

See Photo for information on how to answer

stiks02 [169]

Answer:

It is a Geometric sequence

Common ratio = 1/5

Step-by-step explanation:

Whole chain: 25, 5, 1, 1/5, 1/25, 1/125, 1/625, 1/3125

Hope this helped

6 0

3 years ago