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Anton [14]
3 years ago
9

sara is traveling home from a friends house. she drives 80 miles in 2 hours. if the total trip is 100 miles, how long will it ta

ke her to get home, assuming she travels at the same rate throughout her trip
Mathematics
2 answers:
AURORKA [14]3 years ago
7 0

Answer:

It will take 2.5 hours.

Step-by-step explanation:

We know that,

Speed = \frac{Distance}{Time}

If distance is 80 miles and time taken is 2 hours,

Then,

Speed = \frac{80}{2}=40\text{ miles per hour }

Here sara is travelling with the constant speed which is 40 miles per hour,

If distance = 100 miles,

Hence, the time taken by her = \frac{Distance}{Speed}

=\frac{100}{40}=2.5\text{ hours}

Sauron [17]3 years ago
4 0
It will be 80/2 and 0/10 you will have to multiply 10*80/2=4000
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Suppose two different states each pick a two-digit lottery number between 00 and 99 (for a 100 possible numbers).
Neporo4naja [7]
A. 1/10000 because it is a 1/100 chance for each. 
b. 1/100 because there are 10,000 options and 100 of them are the same options. Simplify for the answer. 
6 0
3 years ago
The degree measure of an angle and its supplement are consecutive odd integers. Find the measure of each angle.
Daniel [21]

Answer:

89

91

Step-by-step explanation:

Supplementary means the pair of angles that have this relationship add up to 180 degrees.

If you assume n is odd, then the very next odd number is n+2.

Example 5 is odd and the next odd number after 5 is 7. This fits the pattern of n and n+2 when n=5.

So we are given the degree measurement of an angle and it's supplement are consecutive odd integers.

So let's pretend the supplement of A is B. This means A+B=180.

We are also given A and B are consecutive odd integers, so this means we are going to let A=n and B=n+2.

Let's put this into our equation for A+B=180:

(n)+(n+2)=180

n  + n+2 =180

2n     +2 =180

Subtract 2 on both sides:

2n          =178

Divide both sides by 2:

 n           =178/2

Simplify right hand side:

 n           =89

If n=89, then n+2=89+2=91.

Does 89+91=180? Yep.

Are 89 and 91 consecutive odd numbers?  Yep.  

Here are some consecutive numbers including those: 89,90,91

Yes 91 is the next odd number after 89.

3 0
3 years ago
Read 2 more answers
Find the inverse of the function f f (x )<br><br> equals 9 x + 7
MrMuchimi

<em>Note: Your question seems a little bit ambiguous. So, I am assuming the given function f(x)=9x+7.</em>

<em>Thus, I am solving based on it. It would still clear your concept. </em>

Answer:

The inverse of f(x)=9x+7

  • \frac{x-7}{9}

Step-by-step explanation:

Given the function

f(x)=9 x + 7

A function g is the inverse of function f if for y=f(x), x=g(y)

Replace x with y

x=9y+7

solve for y

9y=x-7

y=\:\frac{x-7}{9}

Therefore,

The inverse of f(x)=9x+7 is:

  • \frac{x-7}{9}

i.e.

\mathrm{Inverse\:of}\:9x+7:\quad \frac{x-7}{9}

6 0
3 years ago
Jane wants to pick out an outfit for the school dance . She can choose from 3 pairs of pants 5 shirts and 2 pairs of shoes . How
Alina [70]

Answer:

30

Step-by-step explanation:

we multiply each number. There are 3 pairs of pants 5 shirts and 2 pairs of shoes, so we multiply 3x5x2 to get 30

She should pick out this outfit...

3 0
3 years ago
Solve the equation: w^2+7w+12=0
polet [3.4K]
Hi there!
We are given the equation w² + 7w + 12 = 0, and we are told to solve it. Well, we can first take all the factors of 12 -
1 12
2 6
3  4
Now, take the sum of each factor pair -
1, 12 = 13
2, 6 = 8
3, 4 = 7
Find which factor pair adds up to 7, and we can see that 3 and 4 add up to seven, while also having a product of 12. Therefore, since the whole equation has addition signs, we can factor the equation w² + 7w + 12 into (w + 3)(w + 4) = 0. Next, using the Zero Product Property, we can set each term to zero.
w + 3 = 0
w = -3

w + 4 = 0
w = -4
Therefore, the solution to the equation w² + 7w + 12 = 0 is w = -3, -4. Hope this helped and have a great day!
7 0
3 years ago
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