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STALIN [3.7K]
3 years ago
13

)A scanner scanned 63 photos in 9 minutes. If it scans photos at a constant rate, it can scan _____ photos in 21 minutes.

Mathematics
1 answer:
Cloud [144]3 years ago
3 0

Answer:

147 photos

Step-by-step explanation:

63 photos -> 9 minutes

To find the number of photos scanned per minute, divide both sides by 9.

63\div 9=7 photos -> 1 minute

To find 21 minutes, we can do 21\times 7=147

You might be interested in
Consider the vectors a =3i +j −k, b =i +j +4k, c=i +3j +k, d =−i −3j +k, g =−3i −j +k. Which pairs (if any) of these vectors are
11111nata11111 [884]

Answer:

a and b are perpendicular to each other, as are b and d, b and g

Step-by-step explanation:

To check whether two vectors are perpendicular to each other, we need the angle between these vectors to be 90 degrees.

We can find the angle between to vectors a and b from the following relation:

The cosine of the angle \theta between two vectors is equal to the dot product of this vectors divided by the product of vector magnitude.

So

cos(\theta) = \frac{a.b}{|a||b|}

cos(90) = 0, so when the dot product between vectors a and b is 0, it means that these vectors are perpendicular to each other.

Now, for your exercise, let's compute the dot product between these vectors.

-----------

a.b = (3,1,-1).(1,1,4) = 3+1-4 = 0

So a and b are perpendicular to each other.

------------

a.c = (3,1,-1).(1,3,1) = 3+3-1 = 5

a and c are not perpendicular to each other.

--------------

a.d = (3,1,-1).(-1,-3,1) = -3-3-1 = -7

So not perpendicular

---------------

a.g = (3,1,-1).(-3,-1,1) = -9-1-1 = -11

Not

-----------------

b.c = (1,1,4).(1,3,1) = 1+3+4 = 8

Not

------------------

b.d = (1,1,4).(-1,-3,1) = -1 -3 +4 = 0

b.d = 0, so b and d are perpendicular to each other

--------------------

b.g = (1,1,4).(-3,-1,1) = -3-1+4 = 0

b.g = 0, perpendicular

---------------------

c.d = (1,3,1).(-1,-3,1) = -1-9+1 = -9

No

-----------------------

c.g = (1,3,1).(-3,-1,1) = -3-3+1 = -5

No

------------------------

d.g = (-1,-3,1).(-3,-1,1) = 3+3+1 = 7

No

7 0
3 years ago
What is the difference between 20 and -60
zalisa [80]

Answer:

80

Step-by-step explanation:

The "difference" means the answer using subtraction. Subtract -60 from 20 to find the different between the two numbers.

20 - (-60)       When you have two minus signs, it become a plus sign.

= 20 + 60        Add

= 80        Difference between the numbers

Could you do it backwards? Subtract 20 from -60? Yes, but since the difference between two numbers will always be a <u>positive number</u>, you need to use absolute value symbols.

| -60 - 20 |        Do -60 -20 first

= | -80 |        Apply the absolute value of -80 (make the number positive)

= 80        Difference between the numbers

You do not have to put absolute value if you do 20 - (-60), but you can. For -60 -20, you must use them.

Therefore, the difference between 20 and -60 is 80.

6 0
3 years ago
How many 2-digit numbers can be formed from the digits 1 through 8 if each digit is only used once?
SVEN [57.7K]

Answer:

56.

Step-by-step explanation:

That is the number of permutations of 2 from 8

= 8P2

= 8!/(8-2)!

= 8!/6!

= 8 * 7

= 56.

6 0
3 years ago
Read 2 more answers
Conditional statement
Akimi4 [234]
A conditional statement, symbolized by p q, is an if-then statement in which p is a hypothesis and q is a conclusion. The logical connector in a conditional statement is denoted by the symbol . The conditional is defined to be true unless a true hypothesis leads to a false conclusion.
7 0
3 years ago
Pls help answer question in picture
spayn [35]

Step-by-step explanation:

2 1/3

=2*3+1/3

=7/3

7 0
2 years ago
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