Using place value along with division facts in a division equation, helps in dividing larger numbers easily. Place value counters and tape diagrams are often used to represent division using place value.
What is division?
With the arithmetic operation of division, we can divide a collection of items into equal pieces. Typically, it is represented by the symbol "÷".
The bigger amount that is divided into equal halves is called the dividend.
The number of groups that divide the payout is known as the divisor. Following division, the result is the quotient.
The value of a digit in a number is determined by its place in the number, or place value.
Divide larger numbers simply by applying place value and division facts in a division equation. Place value division is frequently shown using tape diagrams and place value counters.
Example - 4 ÷ 2 = 2
In the first equation, the digits are 4 and 2. We can write it as 4 ones ÷ 2 ones = 2 ones (using the division fact).
Example - 40 ÷ 20 = 2
For the second equation, the digits are the same, but a zero has been added after 4, and the quotient thus has one zero at the end. So, we can write it as 4 tens ÷ 2 ones = 2 tens (using place value and the division fact).
Example - 400 ÷ 200 = 2
Similarly, for the third division equation, the same digits are present, but the number of zeros has increased. We are dividing 4 hundreds ÷ 2 ones = 2 hundreds (using place value and the division fact).
Therefore, place value blocks help in division for making it simpler.
To learn more about division from the given link
https://brainly.com/question/28119824
#SPJ1
What is the value of a + c if a = 18, b = 27, and c = 11?
38
45
29
16
Answer:
c) 29
Step-by-step explanation:
a and c are given as 18 and 11, respectively.
[tex]a + c\\= 18 + 11\\=29[/tex]
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
========================================================
Work Shown:
Apply the pythagorean theorem
a^2 + b^2 = c^2
12^2 + b^2 = 15^2
144 + b^2 = 225
b^2 = 225-144
b^2 = 81
b = sqrt(81)
b = 9
Answer:
9
I am not able to upload my answer unless its 20 characters long
I’m seriously stuck Please help in anyway
Answer:
Step-by-step explanation:
8 over 2
Answer:
Exact Form:
7 √ 53 /53
Decimal Form:
0.96152394
Step-by-step explanation:
A music store sells about 50 of a new model of drum per month at a price of $120 each. For each $5 decrease in price, about 4 more drums per month are sold. What prices of the drum will reach over $6500? And write the equation to this inequality?
The prices of the drum that will reach over $6500 are between $3 and $8
And the inequality expression is (50 + 4x) (120 - 5x) > 6500
What prices of the drum will reach over $6500?From the question, we have the following parameters that can be used in our computation:
Number of models = 50
Initial price = $120
Also from the question, we have:
Decrease in price by $5Increase in the number of drums by 4So, we have
Models = 50 + 4x
Price = 120 - 5x
This means that the revenue function is
R(x) = (50 + 4x) * (120 - 5x)
When the price reaches over $6500, we have
(50 + 4x) * (120 - 5x) > 6500
Using a graphing calculator, we have
2.911 <x < 8.5
Approximate
3 ≤ x ≤ 8
Hence, the model reaches $6500 between 3 and 8
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
Write 2,023 in word form
Answer:
Two thousand and twenty three
Step-by-step explanation:
Answer: Two and twenty-three thousandths
Step-by-step explanation:
A container with an open top is to have 10 m3 capacity and be
made of thin sheet metal. Calculate the dimensions of the box if it
is to use the minimum possible amount of metal.
The dimensions of the box if it is to use the minimum possible amount of metal are,
⇒ 2.714 m, 2.714 m, 1.358 m
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A container with an open top is to have 10 m³ capacity.
Now,
Let the dimensions are x, y and z.
Since, Volume of box = 10 m³
Hence, We get;
⇒ xyz = 10
⇒ z = 10/xy
Since, A container is open in top.
Hence, The surface area = 2xz + 2yz + xy
Substitute z = 10/xy;
⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy
= 20/y + 20/x + xy
For minimum metal;
⇒ d (S.A)/ dx = 0
⇒ - 20/x² + y = 0
⇒ y = 20/x² ..(i)
And, d (S.A) / dy = 0
⇒ - 20/y² + x = 0
⇒ x = 20/y² ..(ii)
Divide equation (i) and ((ii);
⇒ x = y
Hence, We get;
⇒ xyz = 10
⇒ x³ = 10
⇒ x = 2.714
And, y = 2.714
So, The value of z is,
⇒ z = 10/xy
⇒ z = 10 / 2.714×2.714
⇒ z = 1.358 m
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
which expression is equal to…
Answer:
4*0 (the last one)
Step-by-step explanation:
I need help on this question
Answer:
11. Volume = 2181.2mm^3
12. Surface Area = 1204.49mm^2
Step-by-step explanation:
We first need to find the hypotenuse side of the triangle using the Pythagorean theorem:
a^2+b^2 = c^2
13.3^2+20.5^2 = c^2
176.89+420.25 = c^2
597.14 = c^2
24.44 = c
Now we can find the volume using the formula:
V = 1/4(16)sqrt-13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2
-20.5^4+2(20.5*24.44)^2-24.44^4
V = 2181.2mm^3
To find the surface area using the surface area formula:
A = (13.3*16)+(20.5*16)+(24.44*16)+1/2sqrt
13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2
-20.5^4+2(20.5*24.44)^2-24.44^4
A = 1204.49mm^2
Question 9 (5 points)
You are taking out a loan of $15,000 for a new car, and you are given 2 options
Bank A - 7.2% for 3 years
Bank B - 8.1% for 5 years
What is the total interest paid for Bank B (Bank profit)?
$
Blank 1:
9514 1404 393
Answer:
$3291.60
Step-by-step explanation:
If the loan is amortized in the usual way, the monthly payment is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . . . loan of P at rate r for t years
A = $15,000(0.081/12)/(1 -(1 +0.081/12)^(-12·5)) ≈ $304.86
The total of payments is ...
(60 months) × ($304.86/month) = $18,291.60
Then the profit to the bank is ...
$18,291.60 -15,000 = $3,291.60 . . . bank profit
What is −183 ? Group of answer choices
a No answer choice is correct
b -5,832
c 5,832
Answer:
it is b because I did the problem yes it is b
john and jack divided there math homework.John solved twice as many problems as jack plus 1 more problem how many problems did each boy solve if there are 28 assigned problems?
Answer:
John: 19
Jack: 9
Step-by-step explanation:
Answer:
Jack = 9
John = 19
Step-by-step explanation:
Let the number that Jack solved = N
Then John solved 2N + 1
So
N + 2N + 1 = 28
3N = 28 - 1
3N = 27
N = 27 / 3 = 9 = number Jack solved
2(9) + 1 = 19 = number John solved
If tan k times 90 = 0 then k is an even integer.
It is true that If tan k times 90 = 0 then k is an even integer.
What is meant by integer?An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples. All positive counting numbers, zero, and all negative counting numbers that count from negative infinity to positive infinity are included in the category of integers.
Here,
Since they include negative numbers but otherwise follow the same rules, integers add to this collection of numbers. Due to the fact that all positive integers are whole numbers, not all integers will be whole numbers (because certain integers can be negative).
To Use the unit circle
tan(x) = 0 only when x is 0 or a multiple of 180 (in degrees)
To learn more about integer refer to:
brainly.com/question/929808
#SPJ1
Find the total surface of a cylinder with a diameter of 8km and height of 7km
Answer:
A≈276.46km²
d Diameter
8
km
h Height
7
km
Marathon Race. Carlos, Maura, and Jacob are running a marathon-26 miles. Carlos runs at a rate of 6 miles per hour. Carlos runs at a rate that is 25% slower than Maura's rate. Jacob takes 2 hours and 36 minutes to finish the marathon. Determine and clearly show everyone's speed. Show or explain your
calculations. Clearly show the exact time it takes for each person to finish the race.
First, let's find Maura's running speed by using the information that Carlos runs at a rate that is 25% slower than Maura's rate. If Carlos runs at a rate of 6 miles per hour, then Maura runs at a rate of 6 * 1.25 = 7.5 miles per hour.
How to calculate time?Next, let's calculate how long it takes for Carlos to finish the marathon. We know that Carlos runs at a rate of 6 miles per hour and the marathon is 26 miles long. So we can use the formula:
time = distance/rate
time = 26/6
time = 4.33 hours
Now let's find how long it takes for Maura to finish the marathon. We know that Maura runs at a rate of 7.5 miles per hour and the marathon is 26 miles long. So we can use the formula again:
time = 26/7.5
time = 3.47 hours
Finally, let's convert Jacob's time of 2 hours and 36 minutes to hours. We can use the formula:
time = 2 + (36/60)
time = 2 + 0.6
time = 2.6 hours
In conclusion, Carlos takes 4.33 hours, Maura takes 3.47 hours and Jacob takes 2.6 hours to finish the marathon.
To learn more about Average Speed visit:
https://brainly.com/question/12322912
#SPJ1
Kana tried to solve the system of equations below. She says there are no solutions. Is Kana correct? Explain your reasoning.
The solution for the given system of equations:
x = 6 and y = 6.
Kana is incorrect about the solutions of the given equations.
What are algebraic properties?Algebraic expressions and equations follow the same set of rules as numerical expressions and equations. The order of operations is preserved, and the laws governing addition and multiplication still apply.
Associative: a + ( b + c ) = ( a + b ) + c , a ( b c ) = ( a b ) c
Identity: a + 0 = a , a ⋅ 1 = a
Inverse: a + ( − a ) = 0 , a ⋅ 1 a = 1
Distributive: a ( b + c ) = a b + a c
Given equations,
4x-2y=12 -----(a)
2x+2y=24 -----(b)
Multiplying -2 to the equation (b) like kana solution
-2 (2x+2y=24 )
By Distributive property
-2(2x+2y) = -2(24)
- 4x - 4y = - 48 ---------(c)
Now adding equation (a) and equation(c)
4x - 2y = 12
- 4x - 4y = - 48
__+___+____+__
- 6y = -36
⇒ y = 36/6 = 6.
Putting value of y in equation (b).
2(x) + 2(6) = 24
2x + 12 = 24
2x = 24 - 12
2x = 12
x =12/2 = 6
By the above calculation,
Value of x = 6 and
value of y = 6.
Hence, for the system of equations given
the solutions are:
x = 6 and y = 6
which proves that Kana is incorrect that there are no solutions.
Learn more about algebraic properties here:
https://brainly.com/question/1448147
#SPJ1
lugar kung saan nanumpa si pang.quezon?
Answer:
Sa Corregidor nanumpa sai Pang. Quezon para sa kanyang ikalawang termino bilang pangulo ng pamahalaang komonwelt
Please help!!
The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 44%. What is the probability that it will rain on at most two of the seven days they are there? Round your answer to the nearest thousandth.
Answer: 0.336
Step-by-step explanation:
n=7
r=2,1,0
p=44%=0.44
q=1-0.44=0.56
7C2(0.44)^2(0.55)^5 +
7C1(0.44)^1(0.56)^6 +
7C0(0.44)^0(0.56)^7
Evaluate:
0.2239055109+
0.0949902167 +
0.0172709485
Sum: 0.33617= 0.336
Which graph represents a function?
P
i really need help with this, i dont get how to identify outliners and gaps stuff, please help?
On solving the provided question, we can say that - the plotting data will be done by 3 to 24 ; 6 to 61 ; 5 to 56; 1 to 15
what is plotting data?A graph that demonstrates the relationship between two or more variables is the most common way to depict a data set using a chart. Both hand-drawn and computer-drawn diagrams are acceptable. Start at the origin and move 2 units to the right before moving 3 units up to draw the coordinates for the point 2,3 on the coordinate plane. Make your points clear. As a result, the pink dot with the letter P on it denotes 2.3. A number line containing each value in your data collection should be first created before making a line chart. Then, on the number line, put an X (or dot) over each value of the data. Put an X over the number for each time a value appears in a record where it does.
so we have to plot data from the given data, we can do by
3 to 24 ; 6 to 61 ; 5 to 56; 1 to 15
To know more about plotting data visit:
https://brainly.com/question/29096917
#SPJ1
9k/65 = 1316/845
find k and show work
Answer:
k= 1316/117
Step-by-step explanation:
Answer:
k = 1316/117
Step-by-step explanation:
Solve for kk by simplifying both sides of the equation, then isolating the variable.
Multiply both sides of the equation by 659659.
65/9 x 9k/65 = 65/9 x 1316/845
Simplify both sides of the equation.
Simplify the left side.
k = 65/9 x 1316/845
Simplify the right side.
Now your answer is:
k = 1316/117
A group of workers can plant at a group of workers can plant at a rate of 14 acres per day How many acres can they plant in 2 days
Answer:
28 acres
Step-by-step explanation:
If the workers can plant 14 acres in one day then they can double that in two days.
14 × 2 = 28
Have a beautiful day! :)
GIVING 100 PTS AND BRAINLIEST IF ALL ARE ANSWERED CORRECTLY NOT GUESSED WITH EVIDENCE IF YOU GET THEM ALL CORRECT I WILL THROW IN 200 POINTS
Answer:
(2,1)
6928ft
59.0813m
26 1/4m
Step-by-step explanation:
Area of a trapezoid = (a+b)*h/2 so (100+150)*80/2
= 10000
Area of a rectangle = l*w so 48*64
=3072
10000-3072 = 6928
The surface area of a square pyramid is A=a^2+2a√a^2/4+h^2 which is A=4^2+2(4)√(4)^2/4+(5)^2 which = 59.08
Volume of a rectangular prism is l*w*h so 3.5*1.25*6 = 26.25 which is equal to 26 1/4
What are four names for 3.09
Answer: Three and Nine Hundreths
3 9/100
309%
Step-by-step explanation:
i only know 3 sorry :(
Answer:
: Three and Nine Hundredths
: 3 9/100
: 309%
: 3 90/1000
Step-by-step explanation: These are some that I could think of. The last one is an equivalent fraction to the second one. I hope this helped.
write an expression to match the quotient of 42 and 2 subtracted from 34
Answer:
13
Step-by-step explanation:
42/2 = 21
34-21 = 13
25, 22, 21, 23, 24 find the mean
Answer:
23
Step-by-step explanation:
25+22+21+23+24= 115
115/5 = 23.
Answer:
The mean is 23 Your welcome
What is the slope of the line?
Answer:
2
Step-by-step explanation:
Rise over run.
The line goes up two and over one. So you get 2/1. Then you can just get rid of the denominator. 'Cause that's how fractions work. You can get rid and add 1 as a denominator.
Answer:
The slope is 2.
Step-by-step explanation:
Let me know if you need an explanation.
hope this helps and is right :)
will give brainly and 50 points! Please be original and do it in less then 10 minutes please and ty!
Answer:
110.88 feet²
Step-by-step explanation:
Area of trapezoids = (base 1 + base 2) × (height ÷ 2)
(15.2 + 11.2) × (8.4 ÷ 2) = 110.88
The area is 110.88 feet²
20 points !! NEED HELP
What is the variable being tested in an experiment?
A. explanatory variable
B. placebo
C. response variable
D. control variable
Step-by-step explanation:
The dependent variable is the variable that is being measured or tested In an experiment.Answer:
explanatory variable
Step-by-step explanation:
Plato/Edmentum
free branliest! come come comeeee get it!
Answer:
thanks i appreciate it
Answer:
Thank you Do you Have a question Or?
There are 10 brown socks and 8 blue socks in a drawer. In the dark, you pull out a sock and put it on. Then you pull out another sock and put it on your other foot. What is the probability that you have on two blue socks?
Answer:
28 / 153 or around an 18.3% chance.
Step-by-step explanation:
P (b, b) = (total blue / total socks) × (total blue – 1 / total socks – 1) =
(8 / 18) × (7 / 17) = 56 / 306 = 28 / 153