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lana66690 [7]
2 years ago
5

The flathead rail tunnel in Montana is about 7 3/4 miles long. A train travels at a speed of 3/4 mile per mile minute.how long w

ill it take for the train to go through the tunnel
Mathematics
2 answers:
kogti [31]2 years ago
5 0
7 3/4 × 3/4 = So u add 3×3=9
Then add 4×4=16 Give you 9/16
Then you add that 7 you left out with 9/16
But just the 9 not the 16
7 × 9 = 63 And your answer is 63/16
Hope i help :-)
mafiozo [28]2 years ago
3 0
That's not correct.
Please try again.
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On a Saturday the library checkout 52 books. If 24 of the books were fiction, what is the ratio of nonfiction books to fiction b
masya89 [10]

52 - 24 = 28

24 : 28 (fiction: nonfiction)

simplify

6 : 7

8 0
2 years ago
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Students who party before an exam are twice as likely to fail as those who don't party (and presumably study). If 20% of the stu
True [87]

Answer:

The fraction of the students who failed to went partying = \frac{1}{10}

Step-by-step explanation:

Let total number of students = 100

No. of students partied are twice the no. of students who not partied.

⇒ No. of students partied = 2 × the no. of students who are not partied

No. of students partied before the exam = 20 % of total students

⇒ No. of students partied before the exam = \frac{20}{100} × 100

⇒ No. of students partied before the exam =  20

No. of students who not partied before the exam = \frac{20}{2} = 10

Thus the fraction of the students who failed to went partying = \frac{10}{100} = \frac{1}{10}

8 0
2 years ago
Carlos and Maria drove a total of 233 miles in 4.4 hours. Carlos drove the first part of the trip and averaged 55 miles per hour
Mandarinka [93]
Let x - hours Carlos drove ; Let y - hours Maria drove

Equation 1: x + y = 4.4
x = 4.4 - y

Equation 2: 55x + 50y = 233
55(4.4 - y) + 50y = 233
242 - 55y + 50y = 233
-5y = 233-242
-5y = -9
y=9/5 or 1.8 hours Maria drove

To find time Carlos drove:
x=4.4 - 1.8
x = 2.6 hours

3 0
2 years ago
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Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity: In the given triangle PQR, angl
Naily [24]

Answer:

Part A: \triangle RPQ \sim \triangle RSP

Part B. All angles are same, so the triangles are similar.  

Part C. RP = 8

Step-by-step explanation:

We are given a right angled triangle \triangle RPQ with \angle P = 90^\circ.

PS is perpendicular to the hypotenuse RQ of \triangle RPQ and S lies on RQ.

Part A:

To identify the pair of similar triangles.

\triangle RPQ \sim \triangle RSP.

Part B:

To identify the type of similarity.

Kindly refer to the image attached in the answer area.

Let us consider the triangles \triangle RPQ \ and\ \triangle RSP.

\angle RSP =\angle RPQ =90^\circ

Also, \angle R is common to both the triangles under consideration.

Now, we can see that two angles of two triangles are equal.

So, third angle of the two triangles will also be same.

i.e. All three angles of two triangles \triangle RPQ \ and\ \triangle RSP are equal to each other.

So, by A-A-A (Angle - Angle - Angle) similarity, we can say that \triangle RPQ \sim \triangle RSP.

Part C:

RS = 4

RQ = 16, Find RP.

There is one property of similar triangles that:

The ratio of corresponding sides of two similar triangles is equal.

i.e.

\dfrac{RS}{RP} = \dfrac{RP}{RQ}\\\Rightarrow RP ^2 = RS \times RQ\\\Rightarrow RP ^2 = 4 \times 16\\\Rightarrow RP ^2 = 64\\\Rightarrow \bold{RP = 8\ units}

5 0
2 years ago
The manager of a grocery store selected a random sample of 100 customers to estimate the average checkout time. The 90% confiden
lina2011 [118]

Answer:

c

Step-by-step explanation:

3 0
1 year ago
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