Answer:
6 r 30
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 31 on the left side and the dividend 216 on the right side like this:
3 1 ⟌ 2 1 6
Step 2:
The divisor (31) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
0
3 1 ⟌ 2 1 6
Step 3:
Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer below the dividend.
0
3 1 ⟌ 2 1 6
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.
0
3 1 ⟌ 2 1 6
- 0
2
Step 5:
Move down the 2nd digit of the dividend (1) like this:
0
3 1 ⟌ 2 1 6
- 0
2 1
Step 6:
The divisor (31) goes into the bottom number (21), 0 time(s). Therefore, put 0 on top:
0 0
3 1 ⟌ 2 1 6
- 0
2 1
Step 7:
Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer at the bottom:
0 0
3 1 ⟌ 2 1 6
- 0
2 1
0
Step 8:
Subtract the result in the previous step from the number written above it. (21 - 0 = 21) and write the answer at the bottom.
0 0
3 1 ⟌ 2 1 6
- 0
2 1
- 0
2 1
Step 9:
Move down the last digit of the dividend (6) like this:
0 0
3 1 ⟌ 2 1 6
- 0
2 1
- 0
2 1 6
Step 10:
The divisor (31) goes into the bottom number (216), 6 time(s). Therefore put 6 on top:
0 0 6
3 1 ⟌ 2 1 6
- 0
2 1
- 0
2 1 6
Step 11:
Multiply the divisor by the result in the previous step (31 x 6 = 186) and write the answer at the bottom:
0 0 6
3 1 ⟌ 2 1 6
- 0
2 1
- 0
2 1 6
1 8 6
Step 12:
Subtract the result in the previous step from the number written above it. (216 - 186 = 30) and write the answer at the bottom.
0 0 6
3 1 ⟌ 2 1 6
- 0
2 1
- 0
2 1 6
- 1 8 6
3 0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 216 divided by 31 calculated using Long Division is:
6
30 Remainder
Twice the sum of a number and 4.
Answer:
2(x +4)
Step-by-step explanation:
Can someone help me please? (I’ll give out brainliest)
What is the difference? Express the answer in scientific notation.
(4.34 times 10 Superscript negative 8 Baseline) minus (3.8 times 10 Superscript negative 8)
0.54 times 10 Superscript negative 16
5.4 times 10 Superscript negative 9
0.54 times 10 Superscript negative 8
5.4 times 10 Superscript negative 7
Answer:
What is the difference? Express the answer in scientific notation.
(4.34 times 10 Superscript negative 8 Baseline) minus (3.8 times 10 Superscript negative 8)
0.54 times 10 Superscript negative 16
5.4 times 10 Superscript negative 9
0.54 times 10 Superscript negative 8
5.4 times 10 Superscript negative 7
Step-by-step explanation:
The answer is B
Step-by-step explanation: I just took the test
Oscar's back yard is in the shape of a rectangle. It has an area
of 45 square meters. The length of Oscar's yard is 75 meters.
What is the width?
At school, the maximum number of students that can be in a classroom is 23. If there are 18 students signed up for the spanish class, how many more students can join the class?
Answer:
5 students
Step-by-step explanation:
We have to get the difference between these two numbers to find out how much space is left. 23 - 18 is 5.
Malhematics
A triangle PQR in which PQ=8 PR= 6cm
and angle P= 60 degrees
Answer:
What is the question? I canno't understand this without the full question or can you include a picture please?
Step-by-step explanation:
I REALLY NEED HELP FOR SOLVING X!
(25 Points)
Answer:
105°
Step-by-step explanation:
25+50+x=180
75+x=180
x=105
Answer:
x = 105°Step-by-step explanation:
sum of interior angles = 180
25 + 50 + x = 180
x = 180 - 25 - 50
x = 105°
52
If
169
289
, then the value of x is:
58
Ο Ο
b. 52
o
c. 68
Answer:
Sorry,didn't understand your question..
btw thanks for free points
[tex]{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{☺☺thanks}}}}}}}}}}}}}[/tex]
Answer:
b
Step-by-step explanation:
Kareem earns y dollars per month at his accounting job. Express his annual salary using
the K abbreviation found in classified ads.
Answer:
0.012yK
Step-by-step explanation:
[tex]\frac{y*12}{1000} K[/tex] > K=1,000
12 divided by 1000 is 0.012.
The required annual salary for Kareem is 0.012yK.
Given that,
Kareem earns y dollar per month at his accounting job. Express his annual salary using the K abbreviation found in classified ads is to be determined.
The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
$1 K = $1000 (for a year)
Since salary for a month is y
Salary for a year = 12 * y
Transforming it into K abbreviation
Multiplied and divide by 1000 on the right side
Annual salary = 12 y 1000 /1000
= 12/1000 * y K
= 0.012yK
Thus, the required annual salary for Kareem is 0.012yK.
Learn more about fractions here:
brainly.com/question/10708469
#SPJ5
Why does it make sense to call equations of the form 2,000=20x +10y linear equations?
Step-by-step explanation:
because it's graph will always be a straight line as the values of x increases so does the values of y
Pls help I give points. And if you do understand it could you also explain it it a little. Thank you
Answer:
A and G
Step-by-step explanation:
I think
You run 35 yards and score a touchdown. How many feet is that?
Answer:
105
Step-by-step explanation:
theres 3 feet in a yard
Which statement is not true
Which set of population data is the least dispersed from its mean?
O 2, 3, 2,9
O 4, 0, 4,0
O 6, 2, 2, 2
O 9, 3, 5,3
Answer: (C)
6,2,2,2
Step-by-step explanation:
A mean is an arithmetic average of a set of observations. The set of population data that is the least dispersed from its mean is {6, 2, 2, 2}.
What is Mean?
A mean is an arithmetic average of a set of observations. it is given by the formula,
[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]
To solve the problem we will find the mean of each population set and then add the difference between the mean and each data point.
A.)
[tex]Mean = \dfrac{2+3+2+9}{4} = \dfrac{16}{4} =4[/tex]
Dispersion of each point from the mean,
[tex]\rm |Mean - data\ point|\\|4-2|=2\\|4-3|=1\\|4-2|=2\\|4-9|=5[/tex]
Thus, the dispersion of the population from the means is 10 (2+1+2+5).
B.)
[tex]Mean = \dfrac{4+0+4+0}{4} = \dfrac{8}{4} =2[/tex]
Dispersion of each point from the mean,
[tex]\rm |Mean - data\ point|\\|2-4|=2\\|2-0|=2\\|2-4|=2\\|2-0|=2[/tex]
Thus, the dispersion of the population from the means is 8 (2+2+2+2).
C.)
[tex]Mean = \dfrac{6+2+2+2}{4} = \dfrac{12}{4} =3[/tex]
Dispersion of each point from the mean,
[tex]\rm |Mean - data\ point|\\|3-6|=3\\|3-2|=1\\|3-2|=1\\|3-2|=1[/tex]
Thus, the dispersion of the population from the means is 6 (3+1+1+1).
D.)
[tex]Mean = \dfrac{9+3+5+3}{4} = \dfrac{20}{4} =5[/tex]
Dispersion of each point from the mean,
[tex]\rm |Mean - data\ point|\\|5-9|=4\\|5-3|=2\\|5-5|=0\\|5-3|=2[/tex]
Thus, the dispersion of the population from the means is 8 (4+2+0+2).
Hence, the set of population data that is the least dispersed from its mean is {6, 2, 2, 2}.
Learn more about Mean:
https://brainly.com/question/16967035
its telling me to write (2m³)⁴ in expanded form and also how do i write (4n⁵) (4n⁵) (4n⁵) (4n⁵) (4n⁵)(4n⁵) exponential
Maya is making a miniature dinner table for her little sister. She wants the table top to be similar to their real dinner table top. Find the width of the miniature table top to the nearest tenth of a centimeter.
Answer:
4.9cm
Step-by-step explanation:
What value of n makes the equation true?
0.7n + 0.8n = 2.1
A. n = 3.15
B. n = 0.60
C. n = 1.40
D.n = 3.60
Answer:
C. n=1.40
Step-by-step explanation:
just substitute it in or solve for the equations to get the unknown variable
FIND X
NEED HELP ASAP
Answer:
x = 15
Step-by-step explanation:
subtract 10 from both sides: x/3 = 5
multiply both sides by 3: x = 15
Answer:
x=15
Step-by-step explanation:
[tex]\frac{x}{3} +10=15\\\frac{x}{3}=5\\x=15[/tex]
To get from his high school to his home, Jamal travels 9 miles east and 9 miles north. When Sheila goes to her home from the same high school, she travels 4 miles east and 5 miles south. What is the distance between Jamal's home and Sheila's home?
Answer:
14 miles north 5 miles east
Step-by-step explanation:
-5miles 9+5 because distance cant be negitive.
Answer:
14.6 miles
Step-by-step explanation:
Jamal will end up about \sqrt{162} from the school and Sheila will be about \sqrt{41}. They will be \sqrt{212} for each other or 14.6 miles.
CAN SOMEONE PLEASE HELP ME ASAP PLEASEE ANYBODY LITERALLY ANYONE OUT THERE PLEASE
Answer:
Y1 is parallel to Y2 and L1 to L2.
Step-by-step explanation:
A line is 180°. To find the degree the angles I subtracted 117 and 63 by 180 to find thair respective angles. (Also 117+63 equil 180) meaning that the Y's and L's are parallel to each other.
What’s 72 divided- 8•2
And the dot is multiplication!
Answer:
Step-by-step explanation:
This question is confusing but, if you're asking what is 72 divided by the product of 8 multiplied by 2, the answer is 4.5
A______ is always a rectangle
A. parallelogram
B. rhombus
C. square
D. trapezoid
Answer:
A square is always a rectangle
what is the value of 6^2
Answer:12
Step-by-step explanation:6x2=12
Answer:
its 36
Step-by-step explanation:
I need help please, can you help me?
Since we know that the 2 lines are parellel, we know that the angles will add up to 180
sooo
180-119=61 (The angle in the traingle)
We know that the angles of a trinalge add up to 180
61+18+e=180
e=101 degrees
Suppose that a family wants to increase the size of the garden which is currently 16 feet long and 8 feet wide without changing the basic shape of the garden. That is, the family wants to ensure that the length of the garden remains twice the width (see figure).
1. Write an equation for the area of the new garden.
2. Write an equation that calculates how much more area the new garden will have as compared to the current garden. Simplify the equation into a quadratic equation in standard form.
3. Using the equation from Exercise 2, determine what effect increasing the width of the garden by two feet will have on the length of the garden and the total area of the garden.
4. Using the equation from Exercise 2 and factoring, determine how much the width of the garden will need to be increased in order for the garden area to be 160 square feet larger than its original area.
5. Using the equation from Exercise 2 and factoring, determine how much the width of the garden will need to be increased in order for the garden area to be four times its original area.
Answer:
See below
Step-by-step explanation:
Sides of the garden
16 feet and 8 feetNew dimensions of the garden
16 + 2x and 8 + x1. The area of the new garden
(16 + 2x)(8 + x) = 2x^2 + 32x + 1282. The difference in area
2x^2 + 32x + 128 - 16*8 = 2x^2 + 32x3. x= 2 effect on the area
2*2^2 + 32*2 = 8 + 64 =72 ft²4. Area difference = 160
2x^2 + 32x = 160x^2 + 16x - 80 = 0Solving we get positive root of 4 ft5. Area difference = 4 times
2x^2 + 32x = 128*32x^2 + 32x - 384 = 0x^2 + 16x - 192= 0Solving we get positive root of 8 ftDetermine whether the equation represents a linear or nonlinear function. Explain.
y−x=2x−23y
Answer: Linear
Step-by-step explanation: Because:
y - x = 2x - 23y is equal to y + 23y = 2x + x
which goes to: 24y = 3x
Which equals, y = 1/8x
How you would convert the repeating, nonterminating decimal to a fraction? Explain the process as you solve the problem.
0.1515
Answer:
5/33
Step-by-step explanation:
........... Explanation in pic ...........
Por favor ayúdeme con mi tarea de matemáticas... Son ecuaciones
2x + 4y=10
-x+5=9
Factor completely.
-3x^2 +17x -20
The factored expression of -3x^2 +17x -20 is (-3x + 5)(x-4)
How to factor the expression?The expression is given as:
-3x^2 +17x -20
Expand the expression
-3x^2 +12x + 5x -20
Factorize the expression
-3x(x - 4) + 5(x - 4)
Factor out x - 4
(-3x + 5)(x-4)
Hence, the factored expression of -3x^2 +17x -20 is (-3x + 5)(x-4)
Read more about factored expression at:
https://brainly.com/question/43919
#SPJ1
At the beginning of spring, Anthony planted a small sunflower in his backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 1.5 inches per week. How tall would the sunflower be after 9 weeks? How tall would the sunflower be after ww weeks
Answer:
Height after 9 weeks: 1.5(9)+5= 18.5
Height after w weeks: 1.5w+5
Step-by-step explanation: