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zzz [600]
3 years ago
15

On a rainy Sunday afternoon, Jennifer and James decided to drive from their home to the stadium to watch a football game. It was

a 30 mile drive to the covered stadium. When they were half of the way there, they discovered that they had forgotten the tickets. They turned around, drove back home, got the tickets, and drove once again to the stadium. It was an exciting game with a final score of 21 to 20. A. true B. false C. cannot be determined
Mathematics
2 answers:
lisabon 2012 [21]3 years ago
6 0

Answer:

B. false!

Step-by-step explanation:

they were in a covered stadium!

Tems11 [23]3 years ago
5 0

Answer: The answer is (C) cannot be determined.


Step-by-step explanation: Given that Jennifer and James planned to drive from home to the stadium to watch a football match on a rainy day. The distance from home to stadium is 30 miles.

Also, when they reached half the distance, i.e., they covered 15 miles, then they realised that they forgot the tickets, because of which they had to drove back to home and then again to the stadium.

Therefore, the total distance they covered = 15 + 15 + 30 =60 miles, i.e., they had to cover double the distance from home to the stadium.

Finally, it is given that the game was fantastic with final score of 21 to 20. This information has no relation to the original question which was about the distance, not score and we cannot find out score from the given information.

Thus, the correct option is (C) cannot be determined.


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Which two choices are equivalent to the fraction below 4/6
valentina_108 [34]

The choices b and c are equivalent to \frac{4}{6}.

Step-by-step explanation:

Step 1:

First, we need to bring the fraction \frac{4}{6} to its simplest form. To do so, we divide the numerator and the denominator by the greatest factor.

The greatest factor for 4 and 6 is 2. So we divide it by 2.

So \frac{4}{2}=2,  \frac{6}{2}=3, \frac{4}{6}= \frac{2}{3}.

Step 2:

Similarly, we need to do the same for all the given four options.

a. \frac{2}{4}, the greatest factor for 2 and 4 is 2. So we divide the fraction by 2.

So \frac{2}{2}=1,  \frac{4}{2}=2, \frac{2}{4}= \frac{1}{2}.

b. \frac{8}{12}, the greatest common factor for 8 and 12 is 4. So we divide the fraction by 4.

So \frac{8}{4}=2,  \frac{12}{4}=3, \frac{8}{12}= \frac{2}{3}.

For options c and d, 1 is the greatest factor so they cannot be simplified. They remain as they are.

Step 3:

So options b and c are equal to the simplification of \frac{4}{6} i.e. \frac{2}{3}.

5 0
3 years ago
Select all the statements that are true for the following systems of equations
Aleks [24]

Answer:

A. System C simplifies to 2x - 3y = 4 and 4x - y = 54 by dividing the second equation by three (3).

B. Systems A and C have the same solutions.

C. Systems A and B have different solutions.

Step-by-step explanation:

Given the following system of equations;

<em><u>System A</u></em>

2x - 3y = 4  .....equation 1

4x - y = 18  .......equation 2

We would solve the above equations using the elimination method;

Multiplying eqn 1 by 2;

2*(2x) - 2*(3y) = 4*2

4x - 6y = 8  ...... equation 3

Subtracting eqn 2 from eqn 3;

(4x - 4x) + (-6y - (-y)) = 8 - 18

0 + (-6y + y) = -10

-5y = -10

5y = 10

y = \frac {10}{5}

y = 2

To find the value of x;

2x - 3y = 4

2x - 3(2) = 4

2x - 6 = 4

2x = 4 + 6

2x = 10

x = \frac {10}{2}

x = 5

<em><u>Solutions (x, y) = (5, 2)</u></em>

<u><em>System B</em></u>

3x - 4y = 5  ..... equation 1

y = 5x + 3  ..... equation 2

We would solve the equations using substitution method;

Substituting eqn 2 into eqn 1, we have;

3x - 4(5x + 3) = 5

3x - 20x - 12 = 5

-17x - 12 = 5

-17x = 12 + 5

-17x = 17

x = \frac {-17}{17}

x = -1

To find the value of y;

y = 5x + 3

y = 5(-1) + 3

y = -5 + 3

y = -2

<u><em>Solutions (x, y) = (-1, -2)</em></u>

<u><em>System C</em></u>

2x - 3y = 4  ..... equation 1

12x - 3y = 54  ...... equation 2

We would solve the above equations using the elimination method;

Subtracting eqn 2 from eqn 1;

(2x - 12x) + (-3y -(-3y)) = 4 - 54

-10x + (-3y + 3y) = -50

-10x + 0 = -50

-10x = -50

10x = 50

x = \frac {50}{10}

x = 5

To find the value of y;

2x - 3y = 4

2(5) - 3y = 4

10 - 3y = 4

3y = 10 - 4

3y = 6

y = \frac {6}{3}

y = 2

<u><em>Solutions (x, y) = (5, 2)</em></u>

5 0
2 years ago
2 ÷ 48.9 plss need help
Mkey [24]

Answer:

0.04

I rounded to one significant figures.

3 0
3 years ago
Please help ASAP due soon pretty easy question just stuck
KATRIN_1 [288]

Answer:

x=4 z=117

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Please help 100 points.​
IceJOKER [234]

Answer:

76 square feet

Step-by-step explanation:

surface area = 2(wl + hl + hw)      w=width     h=height       l=length

surface area = 2(5*4 + 2*4 + 2*5)

surface area = 2(20 + 8 + 10)

surface area = 2(38)

surface area = 76 square feet

7 0
3 years ago
Read 2 more answers
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