1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
schepotkina [342]
3 years ago
9

How many integers are there that consist of four digits (from 1000 to 9999) where the first digit is a 5 or an 8 and the third d

igit is not 5 or 8
Mathematics
1 answer:
Ostrovityanka [42]3 years ago
5 0

Answer:

1600 integers

Step-by-step explanation:

Since we have a four digit number, there are four digit placements.

For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.

For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.

For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers

You might be interested in
What is the smallest number that rounds to 30,000
jenyasd209 [6]

Answer:

295000

Step-by-step explanation:

hope this helps

4 0
2 years ago
11x+4y=-46<br> 7x-4y=10 <br> Find x and y
UNO [17]

Answer:x=-2 y=-6

Step-by-step explanation:

11x+4y=-46..........(1)

7x-4y=10..............(11)

Add (1) and (11)

11x+7x+4y-4y=-46+10

18x=-36

Divide both sides by 18

18x/18=-36/18

x=-2

substitute x=-2 in (11)

7x-4y=10

7(-2)-4y=10

-14-4y=10

Collect like terms

4y=-14-10

4y=-24

Divide both sides by 4

4y/4=-24/4

y=-6

3 0
2 years ago
HELP IM STUCK ON THIS QUESTION
Naddik [55]
Hey There!

your answer would be D.
26/4 = 6 2/4 = 6 1/2 = 6.50 being your greatest

50/8 is 6 2/8 being your smallest, being 2/8 is smaller than 2/5

Hope This Helps!!
6 0
3 years ago
Find the value of AB.<br> 10<br> 6<br> A<br> E<br> B<br> AB = [?]
Nana76 [90]

Answer:

AB = 16

Step-by-step explanation:

The radius of the circle = 10

From the center of the circle to B = 10 (radius)

Since a right angle is formed at point E, we can apply Pythagorean theorem to find EB.

Thus:

EB² = 10² - 6²

EB² = 100 - 36

EB² = 64

EB = √64

EB = 8

EB = AE = 8

therefore,

AB = AE + EB = 8 + 8

AB = 16

5 0
2 years ago
You have 6 blue marbles , 6 green and 8 red what is the probability of drawing a red marble given the following results?
Evgesh-ka [11]
Yo will draw the red marble 8/20
8 0
3 years ago
Read 2 more answers
Other questions:
  • Need help solving this equation please 5w+8-12w=16-15w
    5·1 answer
  • There are 8 cans of soup there are 3times as many cans of vegetables how many cans of vegetables are there write an equation to
    5·2 answers
  • Suppose the interval ​[negative 3−3​,negative 1−1​] is partitioned into nequals=44 subintervals. What is the subinterval length
    9·1 answer
  • Solve for h.<br><br> 6.51 - 9.32 + h = 1.02
    14·2 answers
  • 15 divided by what equals 5
    13·2 answers
  • A ___ is a rule that assigns each value of the independent variable to exactly
    14·1 answer
  • 4(1/2x + 2) = 6
    15·1 answer
  • PLEASE HELP MEE!!! please only answer if you really know the answer.
    14·1 answer
  • Can someone give m the answer i don't know what the answer is.
    15·2 answers
  • 18. Suppose the line through points (x,6) and (1,2) is parallel to the graph of 2x + y = 3. Find the value
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!