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Dimas [21]
2 years ago
12

n a family vacation, Amy’s dad drove the car at a constant speed and traveled 585 miles in 13 hours. At this rate, how long woul

d it have taken the family to travel 810 miles? What was the car’s rate of speed
Mathematics
2 answers:
klemol [59]2 years ago
8 0

Answer: 18 hours

Step-by-step explanation:  

Amy's dad drove the car at a constant speed and travel 585 miles in 13 hours , using proportion . Find out how long would it have taken the family to travel 810 miles . Let   x -----> the time in hours to travel 810 miles! Hope this helps! Good luck!

makvit [3.9K]2 years ago
7 0

Answer: It would take them 18 hours, and the car was going 45 miles per hour.

Step-by-step explanation:

To find how fast the car was going, I divided 585÷13.

To find how many hours it would take, I divided 810÷45.

Hope I helped! May I have brainliest?

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Martha estimated the quotient of -71.81 and -8.02 using
steposvetlana [31]

Option 2

Martha estimated the quotient. Martha error was she should have rounded -8.02 to -8.

<u>SOLUTION: </u>

Given that, Martha estimated the quotient of -71.81 and -8.02 using rounding to the nearest whole number.

And she committed an mistake. We have to find the error made by Martha while calculating quotient.

She treated -71.81 to be 72 and -8.02 to be 9. As both the number are negative there will be no problem when we get quotient.

When treated as above she got quotient as 8.

But in general, the quotient is not 8.

If we see options, we derive an conclusion.

<u>Option (1) </u>

she should have rounded 71.81 to 70, no this is not correct as 72 is nearest whole number.

<u>Option (2)</u>

she should have rounded 8.02 to 8, yes this is correct conclusion.

<u>Option (3)</u>

she should have divided 8 by 72, no this is not correct, we should divided 72 by 8.

<u>Option (4) </u>

she didn’t make an error, this is wrong as in 2nd option we caught an error.

Hence, second option is correct.

6 0
3 years ago
Read 2 more answers
Shantira is thinking of a number n, and she wants her sister to guess the number. her first clue is that nine less than five tim
Kay [80]

The value of the integer number n is greater than 5 and less than 9.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is use it to compare two statements.

Simplification is to make something easier to do or understand and to make something less complicated.

Shantira is thinking of a number n.

Her first clue is that six less than six times her number is between twenty-four and forty-eight.

Let n be the integer number.

Then according to the condition,

Her first clue is that six less than six times her number is between twenty-four and forty-eight.

24 < 6n - 6 < 48

Add 6, then

30 < 6n < 54

Divide it by 6

5 < n < 9

So the value of the integer number n is greater than 5 and less than 9.

For more information on inequality click on the link below:

brainly.com/question/11613554

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6 0
1 year ago
Consider the following triangle.
egoroff_w [7]

Answer: C

Step-by-step explanation:

U have to add the numbers up. Then times it by 2/3 and 1/3 to see if the same numbers are on ur screen.

7 0
3 years ago
Read 2 more answers
Verify that the following function is a probability mass function, and determine the requested probabilities. f left-parenthesis
Licemer1 [7]

Answer:

f(x) = \frac{27}{13} (\frac{1}{3})^x , x=1,2,3

1) f(x_i) \geq 0, \forall x_i

2) sum_{i=1}^n P(X_i) =1

We can find the individual probabilities and we got:

f(1)= \frac{27}{13} (\frac{1}{3})^1 =0.6923

f(2)= \frac{27}{13} (\frac{1}{3})^2 =0.2307

f(3)= \frac{27}{13} (\frac{1}{3})^3 =0.0770

And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.

P(X \leq 1) = P(X=1) =0.6923

P(X>1) = P(X=2) +P(X=3) = 0.2307+0.0770=0.3077

P(2

Step-by-step explanation:

For this case we have the following density function:

f(x) = \frac{27}{13} (\frac{1}{3})^x , x=1,2,3

In order to satisfty that this function is a probability mass function we need to check two conditions:

1) f(x_i) \geq 0, \forall x_i

2) sum_{i=1}^n P(X_i) =1

We can find the individual probabilities and we got:

f(1)= \frac{27}{13} (\frac{1}{3})^1 =0.6923

f(2)= \frac{27}{13} (\frac{1}{3})^2 =0.2307

f(3)= \frac{27}{13} (\frac{1}{3})^3 =0.0770

And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.

And if we want to find the following probabilities:

P(X \leq 1) = P(X=1) =0.6923

P(X>1) = P(X=2) +P(X=3) = 0.2307+0.0770=0.3077

P(2

7 0
3 years ago
The physical education instructor asked each student to do a total of 36 pull-ups and push-ups in 1 minute. The instructor wante
NeTakaya

Answer: Pull-ups = 4 and push up = 32

Step-by-step explanation:

Let x represents number of pull ups in one minute.

And, y represents number of push ups in one minute.

Therefore, According to the question,

Each student to do a total of 36 pull-ups and push-ups in 1 minute.

⇒ x+y= 36

But, again from equation, The instructor wanted students to do 8 times as many push-ups as pull-ups.

Therefore, 8x = y

Thus, required system of linear equations that represents this situation is,

x+y= 36 and 8x = y , where x is the number of pull ups and y is the number of push ups in one minute.

By solving these two equations we get, x=4 and y= 32

That is, In one minute 4 pull ups and 32 push ups are required.




8 0
3 years ago
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