Answer:
First 4-digit multiple of 5 is 1000. It is the least 4-digit number and it is multiple of 5.
Last 4-digit number is 9999 which is not a multiple of 5 and so are 9998, 9997, 9996. Largest 4-digit number which is multiple of 5 is 9995.
Number of 4-digit multiples of 5 = 9995 − 1000 /5 + 1 = 8995/ 5 + 1 = 1799 + 1 = 1800
Step-by-step explanation:
A number x is said to be a multiple of number n if n divides the number x
. One important observation is if x is a multiple of n then the next multiple of n is x + n
. Hence the multiples of number n occur in differences of n
Suppose x and y are multiples of n
. Number of multiples of n between x and y
including them is given by y − x / n + 1
Because for every n numbers in between x and y there is a multiple of n
Combination helps to know the number of ways objects can be arranged. The 4-digit numbers that are multiples of 5 are 1800.
What is a combination?The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.
[tex]^nC_r = \dfrac{n!}{r!(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
In order to make a 4 digit number divisible by five the number must end with either 5 or 0, and for the number to be a 4 digit number, it can not start with 0. therefore, the first place can be occupied by any number from 1 to 9, the second place can be occupied by any number from 0 to 9, the third number can be occupied by any number from 0 to 9, and the fourth number can be occupied by any number from 0 or 5. Thus, the possible options are,
[tex]= ^9C_1 \times ^{10}C_1 \times ^{10}C_1 \times ^2C_1\\\\= 9 \times 10 \times 10 \times 2\\\\= 1800[/tex]
Hence, the 4-digit numbers that are multiples of 5 are 1800.
Learn more about Combination:
https://brainly.com/question/11732255
2x - 3 > 15 or 3 + 7x < 17
Answer:
2x-3>15 and 3-7x>17 =
3-7x>17
-7x>14
x<-2
Step-by-step explanation:
Sorry this is not a proper equation. I think you meant this equation.
2x-3>15 and 3-7x>17
for this equation the answer is
3-7x>17
-7x>14
x<-2
Which graph represents the function ) = -2-1
Answer:
negative 3
Step-by-step explanation:
Mark brainlest
Epert verifyied
The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after 70 hours? (please help I might fail Math.)
Answer:
226 grams
Step-by-step explanation:
The half-life of a radioactive substance is the time taken for half the quantity of the substance to decay such that the amount life after the given period of time is half the original quantity.
As such, given that the half-life of a certain radioactive element is 35 hours and there are 904 grams available, it means that after 35 hours,
Amount decayed = 1/2 * 904 grams
= 452 grams
Amount left = 904 grams - 452 grams
= 452 grams
After another 35 hours (now a total of 70 hours),
Amount decayed = 1/2 * 452 grams
= 226 grams
Amount left = 452 grams - 226 grams
= 226 grams
What is the value of x ?
Answer:
720
Step-by-step explanation:
you just need to multiply
plz help
will mark brainlest
Answer:
t = -4
Step-by-step explanation:
First you add the 7 on both sides and you get -6t=24. Then, you divide both sides by -6 to solve for t. And you get -4 as your answer. Hope this helped you.
-6t - 7 = 17
First add 7 to both sides of the equation.
-6t - 7 + 7 = -6t ,,,, 17 + 7 = 24
-6t = 24
Now divide 24 by -6.
24 ÷ -6 = -4
Answer:t = -4
Check:-6 × -4 = 24 ,,,, 24 - 7 = 17
Hope this helps :)
If the radius of a circle is multiplied by 3, which is true?
Answer:
I think that both are true...
If it's one, it's the circumference.
Step-by-step explanation:
So say the radius is x.
The area is πx^2
The circumference is 2xπ
If you multiply it by 3:
The area is 3πx^2
The circumference is 6xπ
Answer:
The circumference is tripled
Step-by-step explanation:
If the radius started as 2 the area would be 12.57 and the circumference would be 12.57.
Then if multiply the radius by 3 it would be 6 and the area would be 113.1 and the circumference would be 37.7.
12.57x3=37.7
Therefore the circumference triples when the radius is multiplied by 3.
If i get a 98 on a test that is worth 25% of my grade what is my grade? (my grade right now is a 76) . 30 points !
Answer:
Not 100% sure but I think it's 94.62
Step-by-step explanation:
98*25%=24.5
76*24.5%=18.62
18.62+76=94.62
A cone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone?
v=5x(72)(4) 4°
v-}*(417)
V = 38(72)(4) ft
V = 3x(42)(7)
V = one-third pi (4 squared) (7) feet cubed
Step-by-step explanation:
Volume of cone v = 1/3×π(r²h)
r = 4 and h = 7
V = 1/3 × π(4²×7)
So B
Dependent or Independent
Answer:in
Step-by-step explanation:
ASAP. Look at the picture. Answer choices are: A) the spring has no stretch when a force of 1 pound is applied. B) the spring stretches a distance of 1 inch when a force of 0.73 pound is applied. C) the spring requires a force of 0.73 pound to stretch 0.73 inch. D) the spring has a length of 1 inch when no force is applied. E) the spring will stretch 1 inch for every pound of force applied. Please only answer if you are 100% correct. Have to get a good grade. Will Mark Brainliest
Answer:
D) the spring has a length of 1 inch when no force is applied
Please help! Its one of my last! Please include steps as well since i have to show work. I will give brainliest.
Answer:
600 sq mm
Step-by-step explanation:
I divided the shape into 2 shapes and found each shapes area and after that added both of its area to find the area of the above shape
area of rectangle= b x h
so, 15x30=450mm (square)
area of triangle= b x h (divided) 2
so, 10x30=300 (divided) by 2
= 150mm (square)
so, 450 (plus) 150= 600mm (square)
Which expression means the same as "subtract 3 from 7 and then multiply
by 4"?
4* (7 - 3)
4 x 7 - 3
7 - 3 x 4
7- (3 * 4)
Answer:
A 4* (7 - 3)
Step-by-step explanation:
Let's do this part by part. First we have "subtract 3 from 7:" this means we are taking 3 out of 7.
7 - 3
Next we have "then multiply by 4." So we need to take the above quantity and multiply the whole thing by 4.
(7-3) x 4
or
4 * (7-3)
The answer is A.
What is the surface area of the triangular prism represented by the net below?
A. 448 cm2
B. 704 cm2
C. 608 cm2
D. 640 cm2
HELP will mark brainliest
Answer:
x=55 degrees
Step-by-step explanation:
Angle X + 125 degrees is 180 degrees. 180 minus 125 is 55.
Sara solved the equation -6(x-2) + 3x = -3(x+3) + 21 What is the solution?
pls help :)
To solve you can use inverse operations.
Here are the steps to find the answer:
1. Write out the equation: -6(x-2)+3x= -3(x+3) +21
2. Distribute both sides: -6x+12+3x= -3x-9+21
3. Simplify both sides: -3x+12=-3x+12
4. This equation is true for all values, or infinity, because the equation is the same on both sides
Let me know if you need further explanation. I hope this helps.
In triangle XYZ, the length of side XY is 30 mm and the length of side YZ is 43 mm. Which of the following could be the length of side XZ?
A. 75 mm
B. 53 mm
C. 78 mm
D. 11 mm
A 50 gallon water tank is to be used for irrigating a garden. If it is full, and water is used from it at a constant rate of 2 gallons per hour, which relationship best models this reduction in volume over time?
brainlist will be given
Choices:
2−50x
2-50x
2x-50
50-2x
Answer:
D: 50-2x
Step-by-step explanation:
based on pemdas, 2x would be solved first, lets say x is 10, it would be 50-20, which would be taking away from the 50 gallon tank
help me please ( i’ll give 20 points for this )
Answer:
108
Step-by-step explanation:
add 90+68+94, which will give you 252. subtract that from 360 because it‘s a quadrilateral and you will get 108 :)
Answer:
64°
Step-by-step explanation:
See the angle is smaller than 108° and it is not 90° so the answer is 64°
(10 points)
-22 + 31
= 2
Consider the equation 35 + 7
How do you begin isolating the variable x to one side of the equation?
The solution of the equation is
(IGNORE THE WRITEN QUESTION JUST LOOK AT THE PICTURE)
Step-by-step explanation:
Im not sure ut it looks like 3x over 3x would cancel eachother out.
Solve.
10x^2 - 6 = 9x
Answer:
I believe its this x= 94 /9
Step-by-step explanation:
Answer:x= 94 /9
Step-by-step explanation:
I worked it out on my paper but i cant take a picture because im on my laptop.
Brainliest?
in the morning it takes father half an hour to dress, 15 minutes to eat breakfast, and 10 minutes to fix his lunch. if he starts at 7:00, what time will it be ready to leave to work?
Answer:
7:55
Step-by-step explanation:
30 for dressing added with 15 for eating , added with 10 to make lunch gives us 55 minutes.So 7:00 plus 55 minutes is our answer 7:55.
A car drives at 45 km/h for 3 hours.
How far does the car travel?
Answer:
Hey!
The car travelled 135 kilometers!
Step-by-step explanation:
Here you have to do the speed (45km/h) multiplied by the time (3 hours)
45 x 3 = 135
So the car has travelled 135 kilometers!
HOPE THIS HELPS!!
Drag and drop the responses in to the boxes to correctly complete the statement
Proving the converse of the Pythagorean theorem means that if the ———- of the squares of the length of the ——- sides of the triangle equals the square of the length of the ——- side then the triangle is a right triangle
Word choice sum , longest, similar,shorter product square congruent
Answer:
Step-by-step explanation:
sqrt(169) = ±13
13*13 = 169
(-13)*(-13) = 169
Proving the converse of the Pythagorean theorem means proving that if the sum of the squares of the lengths of the shorter sides of a triangle equals the square of the length of the longest side, then the triangle is a right triangle
a^2 + b^2 = c^2
This is the Pythagorean theorem
a and b are the shorter sides and c is the longer side
What is “rate of change”? Hint: it’s NOT “y=mx+b.” What term (begins with an S!) is it very closely related to?
Answer:
Standard Form
Step-by-step explanation:
Answer:
Rate of change refers to the change in one variable (i.e. independent variable) as a result of a change in another (i.e. dependant variable). A very common example is speed as it refers to the change in distance per a change in time. Graphically representing the relationship between two variables, the rate of change will be the gradient or slope of the graph.
What’s the missing leg length
Answer:
15
Step-by-step explanation:
pythag theorum
Answer:
15
Step-by-step explanation:
Pythagorean thm. says a^2+b^2=c^2 where a and b are the legs of the triangle and c is the hypotenuse.
The hypotenuse, c = 17
Leg b =8
a^2=c^2-b^2
a^2=17*17-8*8
a^2=289-64
a^2=225
Take the square root of both sides.
a = 15
URGENT WILL MAKE BRAINLEST
Each month, Daniel budgets $1230 for fixed expenses, $780 for living expenses, and $160 for
annual expenses. His annual net income is $30,300.
Which statement best describes his monthly budget?
It shows a deficit of $355
It shows a surplus of $355.
It shows a surplus of $515.
It is balanced.
Answer:
B
Step-by-step explanation:
Monthly net income = 30300/12 = $2525
Total monthly expenses = 1230+780+160 = $2170
Surplus = 2525 - 2170 = $355
The value of the cash flow will be $355 which is surplus. Then the correct option is B.
What is cash flow?The cash balance of liquid assets coming into and going out of a business is referred to as cash flow. Money spent and money received reflect inflows and outflows, respectively.
The cash flow is the difference between outflow and inflow.
Cash flow = outflow - inflow
If the value of the cash flow is negative that means the expense is more.
If the value of the cash flow is positive that means the income is more.
Every month, Daniel spending plans $1230 for fixed costs, $780 for everyday costs, and $160 for yearly costs. His yearly overall gain is $30,300.
Then the Cash flow is calculated as,
Cash flow = ($30,300 / 12) - ($1,230 + $780 + $160)
Cash flow = $2,525 - $2,170
Cash flow = $355
The value of the cash flow will be $355 which is surplus. Then the correct option is B.
More about the cash flow link is given below.
https://brainly.com/question/10714011
#SPJ2
Five-sixths of a number is 45.
Find the number.
Answer: The number is 54!!!
Hope it helps!!!
Step-by-step explanation:
Let's call the number x.
So, 5/6 (of or multiplication) = 45
5x = 45* 6
x = 270/5
x = 54
How many 9’s are there between 1 and a 100?
Answer:
11
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
You've got 9
19
29
39
49
59
69
79
89
And then all of the numbers in the 90s
90, 91, 92, 93, 94, 95, 96, 97, 98, 99
99 counts as two
Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens. The girls plan to play as many games as they can before running out of tokens. Let m represent the number of games that require 2 tokens; n represent the number of games that require 3 tokens; and p represent the number of games that require 4 tokens.
Janie plays the 3-token game four times. Write two equivalent expressions to represent the number of tokens that Janie will need to play each of the three games at least one time.
Answer: 1.They will need 18 tokens each because 2 + 3 + 4 x 2 = 9
2. -12
Step-by-step explanation:
Given f(x) - 3x= 1 and g(x) - 2x-3, for which value of x does g(x)= f(2)?
Answer:
Best Answer: f(x) = 3x - 1, g(x) = 2x - 3
f(2) = 3(2) - 1 = 6 - 1 = 5.
2x - 3 = 5
2x = 8
x = 4. This value ensures g(x) = f(2).
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