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
blsea [12.9K]
3 years ago
12

Total no of whole number of that have less than 1000 and divisble by 7​

Mathematics
1 answer:
lbvjy [14]3 years ago
6 0

Answer:

<em>There are 142 whole numbers less than 1000 and divisible by 7.</em>

Step-by-step explanation:

The multiples of 7 form an arithmetic sequence like shown:

7, 14, 21, ...

The last term of this sequence can be found by dividing 1000/7=142.9 and rounding down to the previous integer: 142*7= 994.

Thus, the sequence has:

a1=7, r=7, an=994. We need to find n and we'll do that by using the general term formula:

a_n=a_1+(n-1).r

And solving for n:

\displaystyle n= \frac{a_n-a_1}{r}+1

\displaystyle n= \frac{994-7}{7}+1

n = 142

There are 142 whole numbers less than 1000 and divisible by 7.

You might be interested in
Use the x-intercept method to find all real solutions of the equation. -9x^3-72x^2+36=3x^3+x^2-3x+8
larisa86 [58]

-9x^3-72x^2+36=3x^3+x^2-3x+8                     Add 9x^3 to both sides.

-72x^2 + 36 = 3x^3 + 9x^3 + x^2 - 3x + 8       Add 72x^2 to both sides

36 = 12x^3 +   73x^2 - 3x + 8                           Subtract 36 from both sides.

0 = 12x^3 + 73x^2 - 3x - 28      

It does factor, but it is not very nice.

(x + 6.06)(x - 6.09)(x + 0.632)

If there is any kind of error please report it in a note below.

6 0
3 years ago
What does point a represent in this box plot
egoroff_w [7]

Answer:

This question is incomplete

6 0
3 years ago
Read 2 more answers
An urn contains two black balls and three red balls. If two different balls are successively removed, what is the probability th
lidiya [134]

You can extract two balls of the same colour in two different way: either you pick two black balls or two red balls. Let's write the probabilities of each pick in each case.

Case 1: two black balls

The probability of picking the first black ball is 2/5, because there are two black balls, and 5 balls in total in the urn.

The probability of picking the second black ball is 1/4, because there is one black ball remaining in the urn, and 4 balls in total (we just picked the other black one!)

So, the probability of picking two black balls is

P(\text{two blacks}) = \dfrac{2}{5} \cdot \dfrac{1}{4} = \dfrac{2}{20} = \dfrac{1}{10}

Case 2: two red balls

The probability of picking the first black ball is 3/5, because there are three red balls, and 5 balls in total in the urn.

The probability of picking the second red ball is 2/4=1/2, because there are two red balls remaining in the urn, and 4 balls in total (we just picked the other red one!)

So, the probability of picking two red balls is

P(\text{two reds}) = \dfrac{3}{5} \cdot \dfrac{1}{2} = \dfrac{3}{10}

Finally, the probability of picking two balls of the same colour is

P(\text{same colour}) = P(\text{two blacks})+ P(\text{two reds}) = \dfrac{1}{10} + \dfrac{3}{10} = \dfrac{4}{10} = \dfrac{2}{5}

7 0
3 years ago
Which step will get you closest to the solution of this equation?<br><br> 5⋅(x−2)=7
Paul [167]
When you divide both sides by 5
4 0
3 years ago
PLEASE HELP RIGHT AWAY
BartSMP [9]

Answer:

29000, with the margin of error of ±5000

Step-by-step explanation:

Margin of error is the amount of error that can be caused due to variation, change of circumstances or any miscalculation.

In given case value of college student's debt can be between

24000 and 34000

Finding mid-point

(24000+34000)/2

29000

Now finding deviation of 29000 from 24000 and 34000

24000-29000= -5000

34000-29000= 5000

Hence

29000, with the margin of error of ±5000 !

8 0
3 years ago
Other questions:
  • Plz answer this for x
    11·1 answer
  • Find the volume of a cone with diameter 3.6 inches and height 2.2 inches.
    10·1 answer
  • José and Maris work for different car dealerships. José earns a monthly salary of $3,500 plus a 8% commission on sales. Maris ea
    12·1 answer
  • An angle measures 125 degrees. Through what fraction of a circle does the angle turn?
    6·2 answers
  • What is the expression of 4 +34times7
    9·1 answer
  • F=9/5c+32 is there a proportional relationship
    8·1 answer
  • Mean birthweight is studied because low birthweight is an indicator of infant mortality. A study of babies in Norway published i
    7·1 answer
  • you have 1000 to invest in an account and you need to have 1500 in one year what interest rate would you need to have in order t
    14·1 answer
  • There are 2112 people in a concert.
    10·1 answer
  • Decide whether there is enough information given in the picture to prove that the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!