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Temka [501]
4 years ago
9

George took a nonstop flight from Dallas to

Mathematics
1 answer:
In-s [12.5K]4 years ago
5 0

It is given in the question that,

George took a nonstop flight from Dallas to Los Angeles, a total flight distance of 1,233 miles. The plane flew at a speed of 460 miles per hour for the first 75 minutes of the flight and at a speed of 439 miles per hour for the remainder of the flight.

Let for x hours, the flight travelled with a speed of 439 miles per hour .

So we have,

460* \frac{75}{60} + 439*x = 1233

575 + 439x =1233
\\
439x = 1233 - 575
\\
439x = 658
\\
x = \frac{658}{439} hours

And to convert it in minutes, we have to multiply by 60. And on doing so, we will get

x = \frac{658}{439}*60 =approx \ 90  \ minutes

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Please help this makes no sense
kirill115 [55]

Answer:

121 1/4

Step-by-step explanation:

The stock market went up 30 1/2 points, then down 90 3/4 points. The total change is equal tor 121 1/4.

6 0
4 years ago
A goldsmith has two alloys of gold, the first having a purity of 53% and the second having a purity of 83%. If x grams of the fi
blsea [12.9K]

Answer:

Correct answer:  x = 35 grams  and y = 65 grams

Step-by-step explanation:

Given:

53%  purity of the first alloy

83%  purity of the second alloy

x = ?   mass of the first alloy

y = ?   mass of the second alloy

x + y = 100 grams  the mass of the mixture

72.5%   purity of the mixture

We can solve the problem by setting up a two system of equations:

First:                                            Second:

53 x + 83 y = 100 · 72.5              x + y = 100

x + y = 100                                   x : y = (83 - 72.5) : (72.5 - 53)

First system:

y = 100 - x  

From the second, we express y as a function of x and replace in the first

and get:

53 x + 83 (100 - x) = 7,250

53 x + 8,300 - 83 x = 7,250

30 x = 1050  ⇒ x = 1050 / 30 = 35 grams

x = 35 grams

y = 100 - 35 = 65 grams

y = 65 grams

Second system:

x + y = 100  

x : y = (83 - 72.5) : (72.5 - 53) = 10.5 : 19.5 = 105 : 195 = 7 : 13

x : y = 7 : 13  ⇒ x = (7/13) y

From the second, we express x as a function of y and replace in the first

and get:

(7/13) y + y = 100 / ·(13) ⇒ 7 y + 13 y = 1300 ⇒ 20 y = 1300

y = 1300 / 20 = 65 grams

y = 65 grams

x + 65 = 100  ⇒ x = 100 - 65 = 35 grams

x = 35 grams

God is with you!!!

3 0
3 years ago
In a restaurant, Chad tracked the number of children and adults that came in over an hour. During that time, 12 children and 30
aliya0001 [1]
\frac{adults}{children}= \frac{30}{12} \\ 
 \\  \frac{30:6}{12:6}= \frac{5}{2} \\ 
 \\ Solution:5:2 \\
4 0
4 years ago
If the figures shown are congruent, what is the value of x? (Hint: The sum of the three angles of any triangle is 180°.)
professor190 [17]

Answer: THIRD OPTION.

Step-by-step explanation:

For this exercise it is important to remember that, by definition, two triangles are congruent when all their corresponding sides and their corresponding angles are congruent.

Therefore, the size and shape of two congruent triangles are equal.

In this case you know that the triangles shown in the given picture are congruent.

So, based on the explained before, you know that the measure of every corresponding angle of both triangles is the same.

Then, you can conclude that unknown angle "x" has the same measure that the corresponding angle of the other triangle:  38\°.

Therefore, you get that the value of "x" is:

x=38\°

This matches with the third option.

4 0
3 years ago
The volume of a regtabgular prism is 300 cubic inches.if the length of the prism is 5 inches,and the width 8 inches what is the
Scilla [17]

Answer:

The height of the rectangular prism is 7.5 inches

Step-by-step explanation:

- The rule of the volume of a rectangular prism is

 V = l w h, where V is the volume, l is the length of the base of

  the prism, w is the width of the base of the prism, and h is the

  height of the prism

- The volume of the prism is 300 inches³

- The length of the base of the prism is 5 inches

- The width of the base of the prism is 8 inches

- We need to find the height of the prism

∵ V = 300 inches³

∵ l = 5 inches

∵ w = 8 inches

∵ V = l w h

- Substitute the values of l, w, V in the rule above

∵ 300 = 5 × 8 × h

∴ 300 = 40 h

- Divide both sides by 40

∴ h = 7.5 inches

* The height of the rectangular prism is 7.5 inches

3 0
4 years ago
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