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2 years ago

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Kellen is having a party at a restaurant charged $350 to rent a room and $12.50 per person for the meal. His maximum budget is $

1500. He will have x people at the party. Which equation must be satisfied by x if kellen does not exceed his budget?

1 answer:

Mice21 [21]2 years ago

3 0

Answer:

Step-by-step explanation:

1500-350=1150

1150/12.50=92 people

350+12.5x=1500

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Here are seven tiles: 1,1,3,3,3,5,5. Tom takes a tile at random. He does not replace the tile. Tom then takes a second tile. A)

zzz [600]

Answer:

a) 2/42

b)16/42

Step-by-step explanation:

a) 2/7 x 1/6 = 2/42

b) (1,2) (1,3) (2,3)

P(1,2) = 2/7 x 3/6 = 6/42

P(1,3) = 2/7 x 2/6 = 4/42

P(2,3) = 3/7 x 2/6 = 6/42

Add all = 6/42 + 4/42 + 6/42 = 16/42

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2 years ago

Kelly hiked in the woods it took her 1/14 hour to walk 1/4 mile after she snacked she walked another 1/6 mile in 1/16 hour

mariarad [96]

General Idea:

The relationship between rate(R), distance(D) and time(T) given below:

$R= \frac{D}{T}$

Applying the concept:

We need to make use of the formula to find Kelly's walking rate before and after her snack

$Kelly \; Walking \; Rate \; before \; Snack:\\Distance \div Time = \frac{1}{4} \div \frac{1}{14} = \frac{1}{4} \times \frac{14}{1} = \frac{14}{4} = \frac{7}{2} = 3 \frac{1}{2} \; miles \; per \; hour\\\\Kelly \; Walking \; Rate \; after \; Snack:\\Distance \div Time = \frac{1}{6} \div \frac{1}{16} = \frac{1}{6} \times \frac{16}{1} = \frac{16}{6} = \frac{8}{3} = 2 \frac{2}{3} \; miles \; per \; hour\\\\$

Option A isn't correct because before snack Kelly walking rate is not 4/14 miles per hour.

Option B is <u>Correct,</u> Kelly walking rate after snack is 2 2/3 miles per hour.

Option C isn't correct because it doesn't took Kelly 2 hours longer to walk 1/6 mile than it did for her to walk 1/4 mile. It took 1/112 hour longer.

$\frac{1}{14} - \frac{1}{16} = \frac{1 \cdot 8}{14 \cdot 8} - \frac{1 \cdot 7}{16 \cdot 7} = \frac{8}{112} - \frac{7}{112} = \frac{1}{112}$

Option D isn't correct because 2 2/3 miles per hour is slower than 3 1/2 miles per hour.

Conclusion:

Option B is <u>Correct,</u> Kelly walking rate after snack is 2 2/3 miles per hour.

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2 years ago

Read 2 more answers

A delivery truck is stocked with boxes of leather footballs. The graph shows the relationship between the number of footballs an

pashok25 [27]

Answer:

21

Step-by-step explanation:

To find the answer, you'd have to continue tracing the diagonal line until it intersects with the vertical line that corresponds to the number 3.

If you do that, you'll see that in3 boxes, there are 21 footbals.

You can also calculate it mathematically:

If you have 7 balls per box as shown in the graph, you just have to multiply 7 by 3 to know how many balls you'll find in 3 boxes. 7 * 3 = 21.

Hope it helped,

BioTeacher101

6 0

2 years ago

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A veterinarian treated 7 dogs, 13 cats, 4 horses, and 3 ferrets. What percentage of his patients were small animals?

arlik [135]

As per your defention, horses are the only thing considered "not small". To find the percentage, you take the number of what you are trying to find the percentage of divided by the total number.

So, 7 dogs + 13 cats + 3 ferrets = 23 Small animals

7 dogs + 13 cats + 3 ferrets + 4 horses = 27 total animals.

So,

$\frac{23}{27}*100$

The reason we multiply by 100 is because the division gives us a decimal, and a percentage is a part out of 100.

So by doing the calculation we get

85.18%

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2 years ago

Suppose that two people standing 5 miles apart both see the burst from a fireworks display. After a period of time, the first pe

RideAnS [48]

Answer:

the fireworks display occured at x = 1,266,650 ft

Step-by-step explanation:

We are told that sound travels at 1100 feet per second

We will use the general equation for an hyperbola given by;

(y²/a²) - (x²/b²) = 1

We assume that the longer axis for the hyperbola is on the y axis.

In this problem, the total distance traveled by the sound is 1100 ft per second and we can find the value of "a" as:

2a = 1100

a = 1100/2 = 550

Also, since both people are 5 miles apart, we can find the value of c like this:

2c = 2(5)

So,c = 5 miles

Since the distance of sound was given in ft. Thus;

Lets convert 5 miles to ft.

1 mile = 5280 ft

Thus; 5 miles = 5 x 5280 = 26,400 ft

Now, we can find b² from;

b² = c² - a²

b² = 26400² - 550²

b² = 696960000 - 302500

b² = 696657500

Thus, plugging in the relevant values to obtain;

(y²/302500) - (x²/696657500) = 1

In this case we want to find the value of x when y = 5miles = 26400 ft

solving for x we have:

(26400²/302500) - (x²/696657500) = 1

This leads to;

2304 - (x²/696657500) = 1

Thus;

2304 - 1 = (x²/696657500)

2303 x 696657500 = x²

x² = 1604402222500

x = √1604402222500

x = 1,266,650 ft

5 0

2 years ago