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melisa1 [442]
3 years ago
14

Christy drove 135 miles in 2.5 hours.what was her average speed in miles per hour

Mathematics
2 answers:
garri49 [273]3 years ago
8 0
54 miles per hour................
Trava [24]3 years ago
6 0
54 miles per hour. you divid 2.5 from both numbers because that will give you 1 hour and its miles.
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Four students are trying to determine what number must replace the question (x^2)^7=x^4*x^8 in order to make it true
tiny-mole [99]

Answer:

Joe is correct

Step-by-step explanation:

Given equation:

(x^2)^?=x^4 \cdot x^8

The exponent outside the bracket is a question mark and the students are trying to determine the value of the question mark.

For ease of answering, let y be the unknown number (question mark):

\implies (x^2)^y=x^4 \cdot x^8

First, simplify the equation by applying exponent rules to either side of the equation:

\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}\quad\textsf{to the left side}:

\implies (x^2)^y=x^4 \cdot x^8

\implies x^{2y}=x^4 \cdot x^8

\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c} \quad \textsf{to the right side}:

\implies x^{2y}=x^4 \cdot x^8

\implies x^{2y}=x^{4+8}

\implies x^{2y}=x^{12}

Now, apply the exponent rule:

x^{f(x)}=x^{g(x)} \implies f(x)=g(x)

Therefore,

x^{2y}=x^{12}\implies 2y=12

Finally, solve for y:

\implies 2y=12

\implies 2y \div 2 = 12 \div 2

\implies y=6

Therefore, <u>Joe is correct</u> as the unknown number is 6.

6 0
2 years ago
Read 2 more answers
-5x -10 &gt;30 help Hehehehehe.
Mnenie [13.5K]

Answer:

x<-8

Step-by-step explanation:

-5x-10>30

(add 10 to both sides)

-5x-10+10>30+10

-5x>40

\frac{-5x}{-1}<\frac{40}{-1}

(dividing through by -1 changes the sign of the inequality from "<" to ">")

5x<-40

(dividing through by 5)

\frac{5x}{5}<\frac{-40}{5\\}

x<-8

4 0
3 years ago
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
3 years ago
Add up the answer first to see of these correct or incorrect, if incorrect explain why it is not equal.
Stells [14]

Answer:

1) incorrect

2) incorrect

Step-by-step explanation:

-2x-2x = 0 ?

-2x -2x = -4x

It will be 0 only if x = 0.

Not always true, so incorrect

x+x = x² ?

2x = x²

They will be equal if x = 0 or 2.

Not always true so incorrect

8 0
3 years ago
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
katrin [286]

Answer:

the answer is b bro

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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