1. How many numbers less than 10,000 are there which are divisible
by 21, 35 and 63?​

Answers

Answer 1

Answer:

31

Step-by-step explanation:

To solve this problem, we must find the lowest common multiple of 21, 35 and 63

   Find the prime factors of the number;

 Prime factors of 21  = 3 x 7

                            35 = 3 x 5

                            63 = 3 x 3 x 7

  The lcm = 3 x 3 x 5 x 7 = 315

The numbers between  1 and 10, 000 divided by these three numbers;

   First number  = 315

    Last number  = 9765

Now the total number:

      = [tex]\frac{first number - last number }{315} + 1[/tex]

      = [tex]\frac{9765 - 315}{315}[/tex] + 1

     = 30 + 1

     = 31


Related Questions

Which of the following statements describes the value of the expression 35 – 2x, when x = 6?

Answers

Answer:

35-2(6)

= 23

Prime number

Step-by-step explanation:

Answer:

23 . It is a prime number.

Step-by-step explanation:

[tex]35 - 2x \\ x = 6 \\ \\ 35 - 2(6) \\ = 35 - 12 \\ [/tex]

Simplify

[tex]23[/tex]

Nancy has $700 and is spending $30 per week. Libby has $200 and is saving $20 per week. In how many weeks will Nancy and Libby have the same amount of money?

Answers

Simple Answer

Nancy and Libby will have the same amount on week ten.

Expiation

you can dived, repetitive subtraction, or use a number line(s) to get the same answer.

10. Which of the following does not represent an
arithmetic sequence?
A. -7, -3, 1, 5, 9...
B. -64, -16, -4, -1...
C. 0, 2, 4, 6...
D. 3,-2, -7, -12...

Answers

Answer:B

Step-by-step explanation:because an arithmetic sequence would be either adding or subtracting and B is dividing or if it’s easier from right to left it’s multiplying

Answer
B
Explanation

Convert 2∘F to ∘C round to one decimal place

Answers

Answer:

-16.7

Step-by-step explanation:

(2°F − 32) × 5/9 = -16.7°C

Which of the following cities does NOT rely on lumber for its economy?​

Answers

Chillicothe Ohio $:&;&383992939:::

Grace is measured for her annual check up. She is 28 1/5 inches tall. Last year she was 25 3/5 inches tall. How much did she grow in one year?

Answers

Answer:

2 3/5 inches in a year

Step-by-step explanation:

28 1/5 - 25 3/5 = 141/5 - 128/5 = 13/5 = 10/5 + 3/5 = 2 + 3/5 = 2 3/5

I only have 30 minutes left​

Answers

Answer:

what is the question?

Step-by-step explanation:

U only posted a picture of a half paragraph

What’s the question
I can’t see the whole thing

Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of p(x) = –50 + 14x – x2? a shift down 1 unit a shift left 7 units a shift right 1 unit a shift up 7 units

Answers

Answer:

Shift down one unit

Step-by-step explanation:

Correct for e2020

The transformation applied to the graph of f(x) to produce the graph of p(x) is:

A). a shift down 1 unit and a shift left 7 units.

What is transformation on the graphs?

Let the functions f(x) and g(x) be two real functions.

And g (x) = f (x) + k, where k is real numbers.

The function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

The function provided by the basic function f(x) and the constant

g(x) = f(x - k),

may be drawn by horizontally moving the f(x) k unit coordinates.

The shift's direction depends on the value of k. Specifically,

The base graph moves k units to the right if k > 0, and

The base graph moves k units to the left if k < 0.

To determine the transformation applied to the graph of f(x) = x² to produce the graph of p(x) = –50 + 14x – x², we can compare the general forms of the two functions:

f(x) = x²

p(x) = –x² + 14x - 50

The function p(x) can be written as,

p(x) = –(x² - 14x + 49) - 1

p(x) = -(x - 7)² - 1

Therefore, the transformation applied to the graph of f(x) to produce the graph of p(x) is:

A). a shift down 1 unit and a shift left 7 units.

So, the correct answer is A).

To learn more about the transformation on the graphs;

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Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?

Answers

It is the length of 5 and 4

Explain the phrase conservation of energy and provide an example.

Answers

Answer:

Conservation of energy, principle of physics according to which the energy of interacting bodies or particles in a closed system remains constant. ... For example, when a pendulum swings upward, kinetic energy is converted to potential energy.

Step-by-step explanation:


A scale drawing of a building needs to be made using the scale 1 in = 230 ft. How tall will the building in the scale drawing be if the building is 1380 ft tall?

Answers

1380/230 = 6 inches in the scale drawing

PLZZ ANSWER THE QUESTION ​

Answers

Answer:

c

Step-by-step explanation:

y = mx + b

”m” is the slope, so the slope is -2

”b” is the y - intercept, so the y - intercept is (0 , 1)

Write the slope-intercept form of the equation for
each graph described.
Line passing through (-2,-8) and (9,-8)

Answers

Answer:

y=-8

Step-by-step explanation:

First find the slope which is rise over run which equals (y2-y1)/(x2-x1)

(-8-(-8))/(9-(-2))

(-8+8)/(9+2)

0/11

slope = 0

Now you have the slope of 0. You can plug in one of the given point (x,y) to find b

-8=0(9)+b

-8=b

Combine everything

y=0x-8

y=-8

If a =
3
5
, b = 3, c = 1, d = 5, which equality is true?

A)
d
a
=
b
c
B)
a
b
=
c
d
C)
b
a
=
c
d
D)
a
d
=
b
c

Answers

Answer:

I'm nauseous, I'm dyin'

(She ripped my heart right out)

Can't find her, someone to

(My eyes are all cried out)

Lost it, riots

Gunfire inside my head, I've

Lost it, riots

Gunfire inside my head  78tt566786876

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

just took this test

Given that BD is an angle bisector

Solve for m

Answers

Answer:

24 degrees

Step-by-step explanation:

since BD is an angle bisector, the given numbers are equal to each other

this means that you can write the equation as: 6x = x + 20

subtract x from both sides to move the variable to one side, this leaves you with: 5x = 20

then divide both sides by 5 to find x: x = 4

now substitute this into the value given for angle ABD: 6(4)

this gives you 24 degrees

What is |-5 x 6 + 7|?

23


-65


-37


37

Answers

Answer:

your answer is A

Step-by-step explanation:

The answer is positive 23. This is because -5 times 6 is -30 and if you add 7 it will be -23 but it is is the absolute value so your answer will be positive no matter what! Hope this helps! :))))))))))

what is the slope of the line shown below?

Answers

Answer:

A

Step-by-step explanation:

the answer is A because you can tell the line has a negative slope since its going from left to right rather than right to left and then you do rise/run so the rise=2 and the run=3 so the answer for slope would be -2/3

Answer:

-2/3

Step-by-step explanation:

First you need to find two exact points the use your formula. I used (0,1) and (-3,3).

y2-y1 / x2-x1

Or just use rise over run and count up 2 and across to the left 3 and also realize it's a negative slope going down from the left so your answer will be negative.

I hope I helped you. You can comment if you need anymore help.

What is the solution set of the quadratic inequality x^2-5<0

Answers

Answer:

-√5 < x <  √5 .

Step-by-step explanation:

x^2 - 5 < 0

Solving x^2 - 5 = 0

x = √5 and -√5

These are the critical points

The coefficient of x^2 is positive so the graph ( which is a parabola) opens up.

so the region when x^2 - 5 is < 0 is  when  x >  -√5  and < √5

                 

Answer:

D

Step-by-step explanation:

f(x) = -x^2 + 9x +4
Find f(-8)​

Answers

Answer:-132

Step-by-step explanation:

SOMEONE HELP PLZ BRAINLIEST

Answers

Answer:

f = 3n = -16h = -10z = 7.5x = 54v = -12[tex]d = -\frac{417}{25}[/tex]  w = -27.6t = -5w = 43

I hope this helps!

Answer:

F=3

n= -16

h= -10

z =7.5

x=54

v= -12

d= -416÷25

w= -27.6

t= -5

w= 43

This is due soon today can somebody help?
35 points (if they're all right)​ comment if you don't know it

Answers

Answer:

1) P(1,0)Q(-2,3)R(-3,3)S(3,2)

2) (3,4)

3) (0,-4)

4) (1,2)

Step-by-step explanation:

Find three consecutive even integers whose sum is -42

Answers

Answer:

Three consecutive even integers are x, x+2, x+4.

Step-by-step explanation:

Their sum is x+x+2+x+4 = 3x+6.

Hope this helped! <3

18 rolls of paper towels cost $25.99. Determine the cost of one roll of
toilet paper.

Answers

Answer:

$1.44

Step-by-step explanation:

Answer:

$1.44

Step-by-step explanation:

You divide $25.99 by 18 to get $1.44

10 and 11.Is this relation a function?
у
3
6
7 6 5 4
5
3
2
.
1
.
-2 -1
-1
1 2 3 4
g
6 7
8x
8
-2
-3
Yes, this is a function. It does pass the vertical line test.
No, this is not a function. It does NOT pass the vertical line test.
11
What is the independent variable of the following statement?
Luke
goes to the store to buy some candy, The more money he has, the more candy he will buy.
The amount of candy he buys
The amount of money he has
The store he goes to
The type of money he has

Answers

10.Yes
11.Number 3

I hope this helps
Yes it’s a function and A the amount of candy

does anyone know the answer to this question?

consider the sequence below. What are the next three terms in the sequence?
3, 7, 11, 15,....

Answers

It goes plus 4 every time, so the next three terms are 19, 23, and 27

is 13.48 irrational or rational? ​

Answers

Answer:

It is irrational

Step-by-step explanation:

Rational numbers do not have decimals.

It’s rational and rational numbers can have decimals.

where does 17 lie between

Answers

Between 16 and 18. Hope this helps

Jared bought a cell phone for $42, Juanita spent 1 1/2 times as much how much did she spend

Answers

answer:

Juanita spent 1 1/2 times as much as Jared, how much did she spend?

$63

explanation:

one and a half of 42 is: 63

so,

the answer is Juanita spent $63!

Juanita paid $63 for the phone, which is equal to 3/2 of what Jared paid while buying the phone.

What is the definition of a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

How are mixed fractions written?

Follow these procedures to convert an incorrect fraction to a mixed number:

Subtract the denominator from the numerator. The quotient's whole number component should be written down. Write the leftover amount on top of the original denominator.

Given: Jared spent $42 on a cell phone.

We need to determine 1 and 1/2 which is 3/2 of total amount spent by Juanita.

So,

42(3/2) = $63

Therefore, Juanita spent $63 which is  3/2 amount spent by Jared in buying the cell phone.

Learn more about mixed fraction here:

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Wayne created a dried fruit mix to use on his cereal this week. He
used 7 spoonfuls of raisins for every 3 spoonfuls of dried cherries.
If Wayne used 14 spoonfuls of raisins, how many spoonfuls of dried
cherries did he use?

Answers

Answer:

6

Step-by-step explanation:

i had this same problem :)

emilio worked for 19.5 hours he earned 497.25 how much did he earn per hour?

Answers

Answer:

25.5 per hour

Step-by-step explanation:

497.25/19.5

Answer:

497.25 devided by 19.5= $25.5 per hour

Step-by-step explanation:

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