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Elza [17]
3 years ago
15

The area of a rectangle is at most 21 square inches. The width of the rectangle is 3.5 inches. What are the possible measurement

s for the length of the rectangle? Write an inequality to represent the situation, solve the inequality, and explain your solution in context of the problem.
Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0

3.5x is lessthan or equal to 21

3.5x<=21  divide by 3.5

x<=6 so that means the length of the rectangle can be 6 or less.

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Maritza remembers her PIN because it is between 1,000 and 1,500 and it is the product of two consecutive prime numbers. What is
valentina_108 [34]

Answer:

<em>The PIN is 1147</em>

Step-by-step explanation:

<u>Prime numbers</u>

These are integer numbers that only divide exactly by themselves and by 1. To find the first possible prime number between 1,000 and 1,500, calculate the square root of 1,000.

\sqrt{1000}\approx 31.6

Thus, the first prime to consider is 31. Write the consecutive primes from 31:

31 , 37 , 41 , 43

We can see the only two consecutive primes whose product lies in the given interval are 31 and 37. Thus, the PIN is 31*37=1147

4 0
3 years ago
A bird flies from the bottom of a canyon that is 71 4/5 feet below sea level to a nest that is 875 7/10 feet above sea level. Wh
Rainbow [258]

The difference in elevation between the bottom of the canyon and the​ bird's nest is 947 1/2 feet

<h3>What is the difference in elevation between the bottom of the canyon and the​ bird's nest?</h3>

The given parameters are:

Nest = 71 4/5 feet above the seal level

Bottom of canyon = 875 7/10 below sea level

Below sea level means negative

So, we have:

Nest = 71 4/5 feet

Bottom of canyon = -875 7/10

The difference in elevation between the bottom of the canyon and the​ bird's nest is calculated as

Difference = |Nest - Bottom of canyon|

This gives

Difference = |71 4/5 - (-875 7/10)|

Evaluate the difference

Difference = |947 1/2|

Remove the absolute bracket

Difference = 947 1/2

Hence, the difference in elevation between the bottom of the canyon and the​ bird's nest is 947 1/2 feet

Read more about depth at:

brainly.com/question/17147411

#SPJ1

8 0
1 year ago
60 Points please answer quickly!!!!! James did an experiment. He started out with 640 bacteria cells. He found that the growth r
ANEK [815]

Answer:

y = 2327.49 ---> 25 hrs

starting plot points (0,640) and ending (25, 2327.49)

Step-by-step explanation:

b = 640

r = 5.3% = 0.053

t = 25

y = 640 ( 1 + 0.053)^25

y = 640 ( 1.053)^25

y = 2327.49 ---> 25 hrs

starting plot points (0,640) and ending (25, 2327.49)

5 0
3 years ago
Which expression is equivalent to 15 - 5x? select all that apply
m_a_m_a [10]
Choices A and B are correct. To find the equivalent expressions, you would do the distributive property for the choices to
get rid of the parentheses. You would then see which choices match up with 15 - 5x. Hope this helps!
A.) -5x + 15 (yes)
B.) 15 - 5x (yes)
C.) -15 + 5x (no)
D.) 5 - x (no)
3 0
3 years ago
it takes an air pump 4.0 minutes to fill a twin sized air mattress (39 by 8.75 by 75 inches). How long will it take to fill a qu
Ivahew [28]

Volume of twin sized mattress =

39* 8.75* 75 = 25593.35 cubic inch

Volume of queen sized mattress =

60* 8.75* 80 = 42000 cubic inch

To fill 25593.35 cubic inch it takes 4 minutes

To fill 1 cubic inch it will take = \frac{4}{25593.35} minutes

So to fill 42000 cubic inch it will take = \frac{4}{25593.35} * 42000

= 6.56 minutes.



7 0
4 years ago
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