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Zepler [3.9K]
3 years ago
15

Clare travels at a constant speed, as shown on the double number line

Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0

Answer:

1. 36 miles

2. 108 miles

3. 234 miles

Step-by-step explanation:

Here we have the Distance in miles, time and calculated speed as follows;

Distance (miles)                  Elapsed time (hours)              Speed (miles/hour)

       0                                        0                                          0

       72                                      2                                          36

       144                                     4                                          36

       216                                     6                                          36

Distance = Speed (miles/hour) × Elapsed Time (hour)

Therefore, in

1. 1 hour, she travels

1 × 36  = 36 miles

2. 3 hours she travels

3 hours × 36 miles/hour = 108 miles

3. 6.5 hours she travels

6.5 hours × 36 miles/hour = 234 miles.

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Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones fami
emmainna [20.7K]

<em>An adult ticket costs $205 and a child ticket costs $49.</em>

<h2>Explanation:</h2>

Hello! Recall you have to write complete questions in order to find exact answers. Here I'll assume the complete question as:

<em>Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones family bought tickets for 2 adults and 1 child </em><em>for $459</em><em>. How much does and adult and child ticket cost?</em>

To solve this problem, we need to write a system of linear equations in two variables. So, we know some facts:

  • Two families are planning a trip to Disney.
  • The Smith family bought tickets for 2 adults and 3 children for $557.
  • The Jones family bought tickets for 2 adults and 1 child for $459.

Let:

x:Cost \ of \ ticket \ per \ adult \\ \\ y: Cost \ of \ ticket \ per \ child

For the Smith family:

Cost for the 2 adults:

2x

Cost for the 3 children:

3y

Total cost:

2x+3y=557

For the Jones family:

Cost for the 2 adults:

2x

Cost for the 1 child:

y

Total cost:

2x+y=459

So we have the following system of linear equations:

\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\2x+y=459\end{array}\right.

Subtracting (2) from (1):

\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\-(2x+y=459)\end{array}\right. \\ \\ \\ \begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\-2x-y=-459\end{array}\right. \\ \\ \\ (2x-2x)+(3y-y)=557-459 \\ \\ 2y=98 \\ \\ y=49 \\ \\ \\ Finding \ x \ from \ (1): \\ \\ 2x+3(49)=557 \\ \\ 2x=557-147 \\ \\ 2x=410 \\ \\ x=205

Finally, <em>an adult ticket costs $205 and a child ticket costs $49.</em>

<em></em>

<h2>Learn more:</h2>

System of linear equations: brainly.com/question/13799715

#LearnWithBrainly

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Yuki888 [10]

Answer:

b

Step-by-step explanation:

 -2x+8y=8

7 0
3 years ago
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128 plus what plus what equals 232
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Answer:

104

Step-by-step explanation:

232-128=104

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Answer:

It's odd.

Explanation:

A function is odd when <span><span>f<span>(−x)</span></span>=−<span>f<span>(x)</span></span></span>

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<span>=−<span>(6<span>x3</span>−2x)</span></span>

<span>=−<span>f<span>(x)</span></span></span>

Thus, the function is odd.

If a function is odd, then it is symmetric over the x-axis.

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What number should be added to 51 to get a sum -21
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We can write out a formula in order to solve this. Since sum represents addition, if x represents the unknown number, we can write the formula: x+51=-21. Then, to solve for x, you would subtract 51 from both sides to get x=-72 which is the final answer. 
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