To calculate 6691 divided by 28 using long division, divide each set of numbers step by step to arrive at a quotient of 238 with a remainder of 27, resulting in a decimal of approximately 238.96 when rounded.
The question involves the process of long division which is a method used in arithmetic. The student is trying to divide 6691 by 28:
Divide 66 by 28, which goes 2 times. Write 2 above the division bar, to the right of the first quotient place.
Multiply 2 by 28, which is 56, and subtract that from 66 to get a remainder of 10. Bring down the next digit, 9, to make 109.
Divide 109 by 28, which goes 3 times. Write 3 on the division bar. Multiply 3 by 28 (equals 84) and subtract from 109 to get 25.
Bring down the next digit, 1, to make 251. Divide this by 28, which goes 8 times. Eight times 28 is 224. Subtract this from 251 to get 27.
27 is less than 28, so the division process stops here. The answer up to this point is 238, with a remainder of 27.
The long division calculation of 6691 divided by 28 is 238 with a remainder of 27 or as a decimal, 238.96.
In the figure below, OMPN is a square. If the area of the circle O is 4π then what is the area of the shaded region?
Answer:
4 - π
Step-by-step explanation:
(a) Radius of circle
A = πr² Substitute value of A
4π = πr² Divide each side by π
r² = 4 Take the square root of each side
r = 2
(b) Area of MON
A = ¼ × area of circle
A = ¼ × 4π
A = π
(c) Area of MONP
l = r Substitute the value of r
l = 2
A = l² Substitute the value of l
A = 2²
A = 4
(d) Area of MPN
A(MPN) = A(MONP) – A(MON)
Area(MPN) = 4 - π
What is the interest on a $12000 at 2.5% for 3 years?
Answer:
Interest (I) = $ 900
Step-by-step explanation:
Formula for interest is given by:
Interest(I) = [tex]\frac{P \times R \times T}{100}[/tex]
where
P represents principal
R represents rate of interest
T represents the time in year.
Given : P = $ 12,000 , R =2.5% and T = 3 years.
Interest(I) = [tex]\frac{12000 \times 2.5 \times 3}{100}[/tex]
On simplify:
[tex]I = \$ 900[/tex]
Therefore, the interest is , $ 900
What is COEFFICIENT of 12c
Which equation has the least steep graph? A. y = x + 6 B. y = -x - 9 C. y = 2x + 1 D. y = -7x - 2
Answer:
A and B.
Step-by-step explanation:
To get to know the graph with least slope, we have to write all equations in the form y=mx + c.
where m is the slope and c is the the y-intercept.
A. y = x + 6
For this equation m = 1
B. y = -x - 9
For equation B, m = -1
C. y = 2x + 1
In this equation, m = 2
D. y = -7x - 2
In equation D, m = -7
The equation with the highest slope is D while the one with the least slope/steep is A and B.
Can anyone answer this question???
Answer:
E = 216 joules
Step-by-step explanation:
The given equation is
E = [tex]\frac{m*v^{2} }{2}[/tex] ............(i)
Here
m = 3 kg
v = 12 m/s
Putting the given values in equation (i)
E = [tex]\frac{3*12^{2} }{2}[/tex]
E = [tex]\frac{3*144}{2}[/tex]
E = [tex]\frac{432}{2}[/tex]
E = 216 kg m² /s²
or
E = 216 joules
1. Jackson has 75¢ in dimes, d, and nickels, n, in his pocket. Which equation could be solved to find the possible combinations of dimes and nickels Jackson has?
A. 75 = d + n B. 75 = dn C. 75 = 10d ·5n D. 75 = 10d + 5n
The linear equation below has two variables. PLEASE HELP ME!
y = (-1/4)x – 1
Which shows the solutions to the equation when x = 4, x = 0, and x = -4?
A. (-2, 4), (1, 0), (0, -4) C. (2, -4), (-1, 0), (0, 4)
B. (4, -2), (0, -1), (-4, 0) D. (-4, 2), (0, 1), (4, 0)
A 50-foot roll of fencing will be used to enclose a rectangular garden. Which equation below could not be solved to find the possible lengths, l, and widths, w, of the garden?
A. 50 = 2lw C. 2(l + w) = 50
B. 50/2 = l + w D. 50 = 2l + 2w
4. Ms. Monti bought x adult tickets and y children’s tickets to an ice-skating show. She spent a total of $145. The equation below describes the relationship between x and y.
25x + 15y = 145
The ordered pair (4, 3) is a solution of the equation. What does the solution (4, 3) represent?
A. Ms. Monti bought 4 adult tickets and 3 children’s tickets.
B. Adult tickets cost $4 each and children’s tickets cost $3 each.
C. Ms. Monti spent $4 on adult tickets and $3 on children’s tickets.
D. The cost of 4 adult tickets equals the cost of 3 children’s tickets.
The growth of a kitten is described by the equation y = 2.5x + 4, where y represents the kitten’s weight in ounces x weeks after it was born. What is the meaning of the fact that the point (4, 14) lies on the graph of the equation?
A. The kitten had an initial weight of 4 ounces.
B. The kitten is growing at a rate of 4 ounces per week.
C. The kitten weighed 4 ounces when it was 14 weeks old.
D. The kitten weighed 14 ounces when it was 4 weeks old.
Answer:
Part 1) Option D [tex]75=10d+5n[/tex]
Part 2) Option B [tex](4, -2), (0, -1), (-4, 0)[/tex]
Part 3) Option A [tex]50=2LW[/tex]
Part 4) Option A Ms. Monti bought [tex]4[/tex] adult tickets and [tex]3[/tex] children’s tickets
Part 5) Option D The kitten weighed [tex]14[/tex] ounces when it was [tex]4[/tex] weeks old
Step-by-step explanation:
Part 1)
we know that
[tex]1\ dime=\$0.10[/tex]
[tex]1\ nickel=\$0.05[/tex]
Let
d-------> the number of dimes
n-----> the number of nickels
so
[tex]0.10d+0.05n=0.75[/tex]
Multiply by [tex]100[/tex] both sides
[tex]10d+5n=75[/tex]
Part 2)
we have
[tex]y=(-\frac{1}{4})x-1[/tex]
To calculate the solutions of the equation for an x value, substitute the value of x in the equation and find the value of y
For [tex]x=4[/tex] -----> [tex]y=(-\frac{1}{4})(4)-1=-2[/tex] ----> [tex](4,-2)[/tex]
For [tex]x=0[/tex] -----> [tex]y=(-\frac{1}{4})(0)-1=-1[/tex] ----> [tex](0,-1)[/tex]
For [tex]x=-4[/tex] -----> [tex]y=(-\frac{1}{-4})(4)-1=0[/tex] ----> [tex](-4,0)[/tex]
Part 3)
we know that
The perimeter of a rectangle is equal to
[tex]P=2(L+W)[/tex]
we have
[tex]P=50\ ft[/tex]
substitute
[tex]50=2(L+W)[/tex] ------> [tex]50/2=(L+W)[/tex] -----> [tex]50=2L+2W[/tex]
Par 4)
Let
x------> the number of adult tickets
y------> the number of children tickets
we have
[tex]25x + 15y = 145[/tex]
The ordered pair [tex](4,3)[/tex] represent
[tex]x=4\ adult\ tickets[/tex]
[tex]y=3\ children\ tickets[/tex]
therefore
Ms. Monti bought [tex]4[/tex] adult tickets and [tex]3[/tex] children’s tickets
Part 5)
Let
x------> the number of weeks after it was born
y-----> the kitten’s weight in ounces
we have
[tex]y=2.5x+4[/tex]
The ordered pair [tex](4,14)[/tex] represent
[tex]x=4\ weeks[/tex]
[tex]y=14\ ounces[/tex]
therefore
The kitten weighed [tex]14[/tex] ounces when it was [tex]4[/tex] weeks old
What is the equation of the line in this graph?
The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the y-intercept (0, -3) → b = -3
Chose two points: (6, 1) and (0, -3). Substitute:
[tex]m=\dfrac{-3-1}{0-6}=\dfrac{-4}{-6}=\dfrac{4}{6}=\dfrac{2}{3}[/tex]
Answer: [tex]\boxed{y=\dfrac{2}{3}x-3}[/tex]
The cost of admission to the State Fair changed from $8.50 last year to $10.00 this year. Round to the nearest tenth. Show your work. (3 points)
a.) What is the percent of change from last year to this year?
b.) Is this a percent of increase or decrease?
c.) If you have a 25% off coupon to use on the $10.00 ticket, what is the cost of your ticket?
Answer:
Percent increase is 17.6%
We still have to pay 7.50 with the coupon
Step-by-step explanation:
Percent increase = (new- original)/original *100%
= (10-8.5)/8.5 * 100%
= 1.5/8.5 * 100%
= 17.6470588%
Round to the nearest tenth
17.6%
This is an increase since the cost went up.
If we have 25% off, we still have to pay (100%-25%) = 75%
10 *.75 = 7.50
We still have to pay 7.50 with the coupon
Which of the following sets of data does NOT represent a function? Set A (x, y) (6, 3) (8 ,4) (5, 7) (9, 2) Set B (x, y) (0, 3) (1, 8) (2, 8) (3, -7) Set C (x, y) (10, 7) (20, 11) (30, 9) (40, 7) Set D (x, y) (3, 9) (2, 2) (8, -3) (2, 1) a: Set A. b: Set B. c: Set C. d: Set D
Answer: D
Step-by-step explanation:
D contains both (2,2) and (2,1), and fails the definition. D(2) would have to be 2 and 1 at the same time.
Set S is a function if and only if
x ∈ S implies x is an ordered pair,
and
(a,b) and (a,c) ∈ S implies b = c.
Answer:
set D
Step-by-step explanation:
For a function we need to have for evety x value, only one value of y.
in set D, we have the points (2, 2) and (2, 1)
this two points have one value of x: x=2
but for the same x we have two values of y: 2 and 1
so this does not obey the requirements to be a functios wich is that for every x, we cannot have more than one value of y.
Please help with this question.
Answer:
Coordinate of Q (3,4)
Step-by-step explanation:
Let to points S(-2,-6) and T(5,8)
Le Q(x,y) be the point in which it divide the ST in the ratio 5:2
If a point (x,y)cut the line in the ratio a : b where the end coordinate are( x1,y1) and (x2,y2)
x = x1 + p/w(x2 - x1) and y = y1 + p/w(y2 - y1)
where p = a and w = a+b
To find the coordinate of Q
x = x1 + p/w(x2 - x1 )
x = -2 + 5/7(5 - -2) = -2 + 5=3
y = y1 + p/w(y2 - y1)
y = -6 + 5/7(8 - -6) = -6 + 10 = 4
Therefore the coordinate of Q is (3,4)
How many dekameters are in 225 millimeters? Use the metric table to help answer the question.
Answer:
0.0225 dekameters
hope it helps
Step-by-step explanation:
1 millimeter = 0.0001 dekameters
0.0001 x 225 = 0.0225
The number of dekameters that are in the given millimetres would be =0.0225 dekameters.
How to determine the number of dekameters?To determine the number of dekameters found in the given millimetres the following steps should be taken as follows:
For 1 dekameters = 10,000 millimetres
X dekameters = 225 millimeters
Make X the subject of formula;
X = 225/10000
= 0.0225 dekameters.
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Can someone plz help me ASAP 1??
Answer:
3 3/4 cups
Step-by-step explanation:
We can use ratio's to solve this problem. we will put flour over sugar
3/4 cup sugar x cups sugar
---------------------- = -------------------
1/5 cup flour 1 cup flour
Using cross products
3/4 *1 = 1/5 * x
Multiply each side by 5
5 *3/4 = 5 * 1/5 x
15/4 = x
Changing this from an improper fraction to a mixed number
4 goes into 15 3 times with 3 left over
3 3/4 cups
Answer:
the answer is G. 4/15
Step-by-step explanation:
you take 3/4 and 1/5 and divide them both by 3
that would make 1/4 and 1/15
then it is four cups so it would be four times 1/15
that would be 4/15
Suppose soda is on sale for $.50 a can, and you have a coupon for $.80 off your total purchase. Write a function rule for the cost of N cans of soda
If C is the cost and x the amount of cans.
C = 0.5x - 0.8
least common multiple 84 , 36, and 15
Answer:
1260
Step-by-step explanation:
The least common multiple is the smallest positive number which is a multiple of the two. This means 84, 36, and 15 divide into it evenly. To find the multiple:
We list the prime factors of each number.We note how many times each occurs.We multiply each factor the greatest number of times it occurs in a number.84: 2*2*3*7
36: 2*2*3*3
15: 3*5
LCM: 2*2*3*3*5*7= 1260
Select the correct answer. x Probability 0 0.2 1 0.1 2 0.4 3 0.2 4 0.1 The probability distribution of x, a discrete random variable, is given in the table. What is the expected value of x? A. 0.8 B. 1.9 C. 2 D. 5
Answer: The option B. 1.9 is correct
Explanation:
We are given the below information:
x Probability P(x)
0 0.2
1 0.1
2 0.4
3 0.2
4 0.1
The expected value of x is given below:
[tex]E(x)=\sum x P(x)[/tex]
[tex]=(0 \times 0.2)+(1 \times 0.1)+(2 \times 0.4)+(3 \times 0.2)+(4 \times 0.1)[/tex]
[tex]=0+0.1+0.8+0.6+0.4[/tex]
[tex]=1.9[/tex]
Therefore, the expected value of x is 1.9
Which expression is equivalent to 100 in exponential form? A) 102 B) 210 C) 10 × 10 D) 4 × 25
Answer:
A) 10^2
Step-by-step explanation:
100 is 10 times 10 or 10 to the second power
100 = 10 * 10 = 10 ^2
Inga divided two identical rectangles into equal parts. She colored one part of each rectangle.
What is true about the areas of the colored parts?
Clear Check
The areas are equal.
The area of the red part is greater than the area of the blue part.
The area of the blue part is greater than the area of the red part.
Answer:
The areas are equal.
Step-by-step explanation:
Let the first rectangle be R and
the second rectangle be R'.
Sine R and R' are identical, their lengths are equal and their breadths are equal.
So, if Inga divided each into equal parts, then each part of both rectangles are equal.
Hence, the colored parts of both rectangles are equal.
Please help me! Thank you.
Answer:
J=PM/300
Step-by-step explanation:
300J/P=M
*p *P
300J=PM
300J/300=PM/300
J=PM/300
Answer:
J=MP/300
Step-by-step explanation:
M=300J/P
now take p to the left hand side of the equation
MP= 300J
MP/300 = J
J= PM/300
I need help with this may question
Answer:
4
Step-by-step explanation:
To figure out how many times the population of India is as compared to the US, we take the population of India and divide by the population of the US
Population of India/population of US
1.2*10^9 /300000000
I will change 300000000 into scientific notation by moving the decimal 8 places to the left, so it becomes 3 *10^8
1.2*10^9 /3* 10^8
Now we divide the numerals and subtract the exponents
1.2/ 3 * 10^(9-8)
.4 * 10^1
.4*10
4
simplify the expression:
(-2-2i)(-4+6i)
Answer: (-2-2i)(-4+6i) = 20 - 4i
Step-by-step explanation:
We have the expression:
(-2 - 2i)*(-4 + 6i)
the rule we need to know here is that i*i = -1
now, the first step is distribute the parentheses.
(-2 - 2i)*(-4 + 6i) = -2*-4 -2*6i - 2i*-4 - 2i*6i = 8 -12i + 8i -12*(i*i)
= 8 + (8 - 12)i +12 = 20 - 4i
PLEASE HELP I NEED GOOD GRADES!!!! ITS EASY!!!
1. 2+ 1/6 a = - 4
2. 7k - 3 = 32
3. 2x - 5 = 15
4. 3y + 2/5 = - 1/5
Answer:
1. a= -1
2. k=5
3. x= 10
4. y= -1/5
Step-by-step explanation:
1. 2+1/6a= -4
6= -1/6a
a=6*-1/6
a= -1
2. 7k-3=32
7k=32+3
7k=35
k=5
3. 2x-5=15
2x=20
x=10
4. 3y+2:5= -1:5
-3y=3/5
y= 3/5: -3
y= -1/5
Answer:
A: -1
K: 5
X: 10
Y: -1/5
HOPE THIS HELPS! :)
Marcus has $28 to spend. He spent $3.75 to buy a notebook. He needs to save $11.25 but he wants to buy a snack. Chips cost $1.30 per package. Tax has already been included in the price. What is the maximum number of packages that Marcus can buy? Write an inequality that represents the situation. Then solve your inequality by showing your work and steps.
Total money Marcus has = $28
Money spent to buy a notebook = $3.75
Money left now = [tex]28-3.75=24.25[/tex]
Money needed to be saved = $11.25
So, the amount of money Marcus can spend = [tex]24.25-11.25=13[/tex]
Cost of a packet of chips = $1.30
The inequality to determine the maximum number of chips he can buy is:
Let the number of chips Marcus can buy = x
As he cannot spend more than $13 to buy chips so equation becomes:
[tex]1.30x\leq 13[/tex]
Solving this we get
[tex]x\leq 10[/tex]
Hence, Marcus can buy a maximum of 10 packs of chips and save $11.25
GIVING 98 POINTSTO WHOEVER ANSWERS
4. Sanitation: With the increase in population comes an increase in trash created by humans. According to the chart, what is the % of increase from the population in 1950 to the population in 2018 of North America?
Show work
Population of North America
Year Population
2018 363,844,490
1950 172,602,624
SHOW WORK!
Answer:
=110.8 percent
Step-by-step explanation:
We can use this formula to find the percent increase
percent increase = (new - original)/ original * 100
new = 363,844,490
original =172,602,624
Substitute these values in
percent increase = (363,844,490 - 172,602,624)/ 172,602,624 * 100
percent increase = 191241866/172602624 *100
= 1.107989332
=110.8 percent
1 kilogram= 2.2 pounds, 1 stone= 14 pounds change 42 kilograms into stones
Answer:
6.6 stone
Step-by-step explanation:
We will use conversions to change kilograms to stones
1 kilogram= 2.2 pounds,
1 stone= 14 pounds
42 kilogram 2.2 lbs 1 stone
--------------- * ------------- * ---------------
1 kg 14 lbs
All the units cancel except stone
(42*2.2)/14 stone
6.6 stone
Answer:
42 kilograms is equal to 6.6 stones.
Step-by-step explanation:
Using the given conversion factors:
1 kilogram = 2.2 pounds
1 stone = 14 pounds
To Find: 42 kilograms into stones = ? stones
Solution:
42 kilograms = [tex]42\times 2.2 pounds=92.4 pounds[/tex]
Another conversion factor used:
1 stone = 14 pounds
[tex]1 pound = \frac{1}{14} stones[/tex]
[tex]92.4 pounds=92.4\times \frac{1}{14} stones=6.6 stones[/tex]
So, 42 kilograms is equal to 6.6 stones.
Which expression is 12 times as large as the expression 7 plus 91?
A) 12 x (7+91)
B) 12 + (7+91)
C) 12 x 7 + 91
Please answer and show me step by step. It will be really appreciated. Thank you
Answer:
A
Step-by-step explanation:
here's how I got it A and C are similar but C will have a different answer because you will multiply 12*7 then add 91 that will equal 175 but it wants the answer that is 12 larger than 7 + 91. when it is in parenthesis it goes first so then you do 7+91 first and that is 98. then multiply 12*98=1176 and that is the correct answer because it is 12 times the sum of 7 and 91.
The expression that is 12 times as large as the expression 7 plus 91 is A) 12 x (7+91). First, we solve the expression in parentheses, 7+91, to get 98. Then, we multiply 98 by 12 to get the final result of 1176.
Explanation:The question is asking which expression results in a value that is 12 times as large as the expression 7 plus 91. The expression 7 plus 91 results in a value of 98. In order to find a value that is 12 times as large as 98, we need to multiply 98 by 12. That operation is represented by the expression 12 x (7+91), which is option A.
To break it down step by step:
First, we solve the expression in parentheses, which is (7+91), giving us the result of 98.Next, we multiply that result by 12, giving us the final result of 1176.In conclusion, the expression that is 12 times as large as the expression 7 plus 91 is A) 12 x (7+91).
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Why is the converse of the Pythagorean Theorem equally as important as the Pythagorean Theorem?
Answer:
They're equally as important because they are the same thing, but just meant for finding different sides.
Step-by-step explanation:
Solve this and you get points to ask questions
Answer:
0
Step-by-step explanation:
23/40 - 11/30
We are using the benchmarks 0, 1/2 ,1 to approximate our values
23/40 is close to 1/2
11/30 is close to 1/2
1/2 - 1/2 = 0
Given the figure below, find the values of x
and z
.
Answer:
x=4 °
z = 77°
Step-by-step explanation:
We know vertically opposite angles are equal
HEre (5x+83) and 103 are vertically opposite angles . so they are equal'
Set them equal and solve for x
5x+83= 103
subtract 83 on both sides
5x = 20
Divide both sides by 5
x= 4
103 and angle z are in a straight line
Sum of angles in a straight line is 180 degrees
So 103 + z = 180
subtract 180 on both sides
z = 77°
-72 by 8
A) -9
B) -8
C) 7
D) 8
Hi there! :) :D
Answer:
A. -9
*The answer must have a negative sign.*
Step-by-step explanation:
Lesson: Dividing integers
First, you divide by the numbers from left to right.
[tex]72/8=9[/tex]
It change positive to negative sign.
[tex]72/9=8[/tex]
Then, you can also multiply by the numbers from left to right.
[tex]9*8=72[/tex]
[tex]8*9=72[/tex]
Final answer is -9
Hope this helps!
Have a nice day! :)
:D
-Charlie
Thank you so much! :)
:D
Find the distance between points P and Q represented on the coordinate plane. If P=2,2 and Q= 6,8
A. √ 145 B. √ 65 C. √ 97 D. √ 113
Answer:
sqrt(52)
Step-by-step explanation:
Given points P(2,2) and Q(6,8)
To find distance between points we apply distance formula
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
(x1,y1) is (2,2) and (x2,y2) is (6,8)
Plug in the values in the formula
[tex]D = \sqrt{(6-2)^2+(8-2)^2}[/tex]
[tex]D = \sqrt{16+36}[/tex]
[tex]D = \sqrt{52}[/tex]
Answer:
answer is B sqrt65
Step-by-step explanation: