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3 years ago

A train has an average speed of 18 miles per hour. How long will it take to travel 270 miles?

Mathematics

2 answers:

NARA [144]3 years ago

8 0

I believe the answer is 15 because if you divide 270/18 you get 15 <span />

Nitella [24]3 years ago

3 0

Ratio and proportion

18 miles/1 hr= 270 miles/x hrs
cross multiply
18x= 270
x= 15 hrs

hope this helps

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Laura wrote and solved the following expression to find the total number of beads Lina has if there are 6 beads in each packet.

bulgar [2K]

<h3>The number of beads lina has is 31</h3><h3>Laura made a mistake by adding the constant 7 and variable 4b</h3>

<em><u>Solution:</u></em>

Given that,

Laura wrote and solved the following expression to find the total number of beads Lina has

There are 6 beads in each packet

7+4b = 11b

= 11(6)

=66

From given,

Lina has a total of 7 + 4b beads

Given that, There are 6 beads in each packet

Substitute b = 6

7 + 4(6)

Simplify

7 + 24

Add

Thus, she has a total of 31 beads and not 66 beads

Laura made a mistake by adding the constant 7 and variable 4b

But a constant and variable cannot be added

4 0

4 years ago

Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 4.5%/year compounde

valentina_108 [34]

Answer:

each payment = $214.20

Step-by-step explanation:

For ordinary annuity,

FVOA = PMT x [{(1+r/m)^(n*m)} - 1/(r/m)]

Here, FVOA = $50,000

year, n = 14

Since the interest will be paid monthly, m = 12

interest rate, r = 4.5% = 0.045

PMT = ?

Putting all the values into the ordinary annuity formula,

FVOA = PMT x [{(1+r/m)^(n*m)} - 1/(r/m)]

$50,000 = PMT x [{(1+0.045/12) ^ (14*12)} - 1/(0.045/12)]

or, $50,000 = PMT x [{(1+0.045/12) ^ (14*12)} - 1/(0.045/12)]

or, $50,000 = PMT x [(1.8754 - 1)/0.00375]

or, $50,000 = PMT x 233.4399

or, PMT = $50,000/233.4399

PMT = $214.19

or, monthly payment will be $214.20 (Nearest cent)

7 0

3 years ago

Judy is pulling on a trunk with a 12-N force. Ike pulls at right angles to Judy. With how much force must Ike pull to make the r

Ratling [72]

To understand the problem, let's first draw a free body diagram of the forces exerted by Judy and Ike on the truck. (Refer to the left side of the attachment).

To solve for the resultant, we just use the tip-to-tail method. This is illustrated on the right side of the attachment.

We can see that the tip-to-tail method forms a right triangle thus we can just apply the Pythagorean theorem in solving for Ike's force.

$20^{2} = 12^{2} + F^{2}$
$400 = 144 + F^{2}$
$256 = F^{2}$
$F = 16.0$

ANSWER: Ike must pull the truck with a force of 16.0 N.

8 0

3 years ago

3) Two of these numbers are the same value, which ones are<br> they? 40%, .44, 14, .04, 4/10?

baherus [9]

Answer:

40% and 4/10

Step-by-step explanation:

If you convert them into decimals, they will both give the same decimals which gives 0.4

4 0

3 years ago

Read 2 more answers

Solve the equation using elimination. Is this a consistent, inconsistent, or dependent? What is the solution

Basile [38]

9514 1404 393

Answer:

(x, y) = (-1, -3)

Step-by-step explanation:

The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.

We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.

-4(2x -7y) +7(7x -4y) = -4(19) +7(5)

-8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses

41x = -41 . . . . . simplify

x = -1 . . . . . . . divide by 41

Using the second equation, we find y to be ...

(7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3

So, the solution is (x, y) = (-1, -3).

7 0

3 years ago