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vesna_86 [32]
2 years ago
12

The Garcia family is driving from San Diego, California, to bar harbor, Maine. In 5 day,they have traveled 2,045 miles. At this

rate,how long will it take them to travel from San Diego to bar harbor?
Mathematics
1 answer:
Alex Ar [27]2 years ago
4 0

Answer:

They will reach the Bar Harbor in 8 days.

Step-by-step explanation:

The distance between the San Diego, California, to Bar Harbor, Maine is 3302 miles.

Now, the Garcia family is driving from San Diego, California, to Bar Harbor, Maine. The distance that they have traveled is 2,045 miles in 5 days.

So, in this rate they will reach the Bar Harbor, in \frac{3302}{2045} \times 5 = 8 days (Approximate) (Answer)

Since the rate of movement is constant, so we can use the unitary method to find the total time to reach destination.

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gayaneshka [121]
You need to solve for Z

First:
Add 2 to each side of the inequality.
You get 5z>-4

Second:
Divide both sides by 5 and get

z>-4/5

Your answer is:
z>-4/5
Or if you need it in decimal form
z>-.8
3 0
1 year ago
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What are the x-intercepts of the function f(x) = –2x2 – 3x + 20?
Hatshy [7]

The root sof this quadratic equation are -4 and 2.5.


The roots of any quadratic can be found by using the quadratic equation. The equation is below for you.


\frac{-b +/- \sqrt{b^{2}- 4ac}}{2a}


In this equation you use the number attached to x^2 as the a, which in this case is -2. The number attached to x as b, which is in this case -3. And the number at the end as c, which is 20. From there you solve for the answers.


\frac{3 +/- \sqrt{-3^{2}- 4(-2)(20)}}{2(-2)}

\frac{3 +/- \sqrt{9 + 160}}{-4}

\frac{3 +/- 13}}{4}


Now you separate and get the two separate answers. First the positive.


\frac{3 + 13}}{4}

\frac{16}}{4}

4


Now the negative


\frac{3 - 13}}{4}

\frac{-10}}{4}

-2.5

5 0
2 years ago
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Tumor counts: A cancer laboratory is estimating the rate of tumorigenesis in two strains of mice, A and B. They have tumor count
Igoryamba

Answer:

The observed tumor counts for the two populations of mice are:

Type A mice = 10 * 12 = 120 counts

Type B mice = 13 * 12 = 156 counts

Step-by-step explanation:

Since type B mice are related to type A mice and given that type A mice have tumor counts that are approximately Poisson-distributed with a mean of 12, we can then assume that the mean of type A mice tumor count rate is equal to the mean of type B mice tumor count rate.

This is because the Poisson distribution can be used to approximate the the mean and variance of unknown data (type B mice count rate) using known data (type A mice tumor count rate).  And the Poisson distribution gives the probability of an occurrence within a specified time interval.

3 0
2 years ago
If a linear system has four equations and seven variables, then it must have infinitely many solutions. True or False
Savatey [412]

Answer:

The statement is False.

Step-by-step explanation:

Consider the provided information.

If a linear system has four equations and seven variables, then it must have infinitely many solutions.

We need to determine the above statement is true or false.

The above statement is false, it could be inconsistent, and therefore have no solutions,

For example:

x_1+x_2+x_3+x_4 +x_5+x_6+x_7=0\\x_1+x_2+x_3 =1\\x_4 +x_5 =1\\x_6+ x_7=1

Hence, there is no solution.

7 0
2 years ago
Compare a pay increase to the inflation rate. Assume that the inflation rate for the past year was 4 percent. You are worried th
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The New pay in current year is = $ 2225

The old pay in the last year was = $ 2176

percentage (%) increase formula = (new value- old value ) *100 / old value

which becomes,,

\frac{2225-2176}{2176} *100

which equals to 2.3% .

Hence, the average net pay per month increased is  2.3% .



8 0
2 years ago
Read 2 more answers
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