The problem 7,291 ÷ 19 is solved below using partial quotients. Identify what partial quotient was used in each step. Then, identify your final quotient.
Seven thousand two hundred ninety one minus five thousand seven hundred equals one thousand five hundred ninety one minus one thousand five hundred twenty equals seventy one minus fifty seven equals fourteen. Arrows pointing to step one, two, and three. You can not make anymore groups of nineteen. What is left becomes your remainder ill give brainliest
Answers
Using the partial quotient method, it is found that:
The partial quotients used in each step are as follows: 300, 80, The final quotient is of: 383.Partial quotient methodWhen division is done applying the partial quotient method, consecutive subtractions are done with n groups of the divisor.
Each partial quotient is the number of groups, and the final quotient is the sum of the partial quotients.
In this problem, the divisor is as follows;
19.
The first subtraction is by 5700, which is 5700/19 = 300 groups of 19, hence the first partial quotient is of 300.
The second subtraction is by 1520, which is 1520/19 = 80 groups of 19, hence the second partial quotient is of 80.
The third subtraction is by 57, which is 57/19 = 3 groups of 19, hence the third partial quotient is of 3.
Then the final quotient is given as follows:
300 + 80 + 3 = 383.
Missing InformationThe subtractions are given by the image at the end of the answer.
More can be learned about the partial quotient method at https://brainly.com/question/2059458
#SPJ1
Related Questions
What is 1/3÷1/2 math answers?
Answers
Answer:
= [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Result in decimals: 0.66666666666667
x = mutiply
[tex]=\frac{1}{3} x\frac{2}{1}[/tex]
[tex]\frac{1 x 2}{3 x 1 }[/tex]
= [tex]\frac{2}{3}[/tex]
(Hope this helps can I pls have brainlist (crown)☺️)
What is the equation of the line in slop-intercept form?
Enter your answer in the blank spots
y= __x + __
Answers
or
y = 2.5x + 5
Answer:y=2.5x+5 i thank
Step-by-step explanation:
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1
10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8
1
2
hours last week, how much money did she donate to the charity?
$
Answers
9514 1404 393
Answer:
$9.86
Step-by-step explanation:
The numbers in your problem statement are somewhat garbled. We understand the problem to be ...
Given:
earnings: $11.60 per hour
1/10 of earnings donated
8 1/2 hours worked
Find:
the amount donated
Solution:
The amount donated will be the product of the given numbers:
($11.60 /hour)×(8.5 hours)×(1/10) = $9.86
Kendra donated $9.86 to the charity last week.
If the Owen family has a child in two years, how much can they expect to spend, per year, to raise the child from its birth to when it is five years old?
Answers
Answer: A. 65,250+139,560= 204,810. 204,810/18=11,378
I hope it is right
Answer:
The answer would be 13,050
Step-by-step explanation:
In order to get the answer, you have to do 65,250 divided by 5 years and you should get 13,050 on your calculator.
A company generally purchases large lots of a certain kind of electronic device. A method is used that rejects a lot if 4 or more defective units are found in a random sample of 100 units. ​(a) What is the probability of rejecting a lot that is ​3% ​defective? ​(b) What is the probability of accepting a lot that is ​4% ​defective?
Answers
Using the binomial distribution, it is found that there is a:
a) 0.3526 = 35.26% probability of rejecting a lot that is 3% defective.
b) 0.4295 = 42.95% probability of accepting a lot that is 4% defective.
For each device, there are only two possible outcomes, either it is defective, or it is not. The probability of a device being defective is independent of any other device, hence the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem, the sample has 100 units, hence [tex]n = 100[/tex].
Item a:
3% of the pieces are defective, hence [tex]p = 0.03[/tex].
The probability is:
[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]
In which:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.03)^{0}.(0.97)^{100} = 0.0476[/tex]
[tex]P(X = 1) = C_{100,1}.(0.03)^{1}.(0.97)^{99} = 0.1471[/tex]
[tex]P(X = 2) = C_{100,2}.(0.03)^{2}.(0.97)^{98} = 0.2252[/tex]
[tex]P(X = 3) = C_{100,3}.(0.03)^{3}.(0.97)^{97} = 0.2275[/tex]
Then:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0476 + 0.1471 + 0.2252 + 0.2275 = 0.6474[/tex]
[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.6474 = 0.3526[/tex]
0.3526 = 35.26% probability of rejecting a lot that is 3% defective.
Item b:
4% of the pieces are defective, hence [tex]p = 0.04[/tex].
Lot is accepted if less than 4 units are defective, hence:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
[tex]P(X = 0) = C_{100,0}.(0.04)^{0}.(0.96)^{100} = 0.0169[/tex]
[tex]P(X = 1) = C_{100,1}.(0.04)^{1}.(0.96)^{99} = 0.0703[/tex]
[tex]P(X = 2) = C_{100,2}.(0.04)^{2}.(0.96)^{98} = 0.1450[/tex]
[tex]P(X = 3) = C_{100,3}.(0.04)^{3}.(0.96)^{97} = 0.1973[/tex]
Then:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0169 + 0.0703 + 0.1450 + 0.1973 = 0.4295[/tex]
0.4295 = 42.95% probability of accepting a lot that is 4% defective.
A similar problem is given at https://brainly.com/question/24863377
f(x)=2x^2-3x+5 and g(x)=x-4,
find (f+g)(x)
Answers
Answer:
2x^3-2x^2+x
Step-by-step explanation:
Just trust me!
The following accounts appear in the ledger of Monroe Entertainment Co. All accounts have normal balances.
Accounts Payable $1,500 Fees Earned $3,600
Accounts Receivable 1,800 Insurance Expense 1,300
Prepaid Insurance 2,000 Land 3,000
Cash 3,200 Wages Expense 1,400
Drawing 1,200 Capital 8,800
Total assets are
a. $10,000
b. $9,800
c. $9,700
d. $8,000
Answers
The total assets of Monroe Entertainment Co. are $8,000. Option D is correct.
An asset in business is defined as any form of resources owned by an individual or controlled by a business enterprise.From the given account that appears in the ledger of Monroe Entertainment Co, the assets include the account receivables, Land, and Cash.
Taking the sum of the given assets to get the total asset.
Total assets = account receivables + Land + Cash
Total assets = $ 1,800 + $3,000 + $ 3,200
Total assets = $8,000
Hence the total assets of Monroe Entertainment Co. are $8,000
Learn more on assets here: https://brainly.com/question/23046859
$32.00for a 14 2/9 km taxi ride. What is the cost per kilometer
Answers
[tex]\begin{array}{ccll} \$&km\\ \cline{1-2} 32&14\frac{2}{9}\\[1em] x&1 \end{array}\implies \cfrac{32}{x}=\cfrac{14\frac{2}{9}}{1}\implies \cfrac{32}{x}=14\frac{2}{9}\implies \cfrac{32}{x}=\cfrac{14\cdot 9+2}{9} \\\\\\ \cfrac{32}{x}=\cfrac{128}{9}\implies 288=128x\implies \cfrac{288}{128}=x\implies \stackrel{~\hfill \textit{2 bucks and 25 cents}}{\cfrac{9}{4}=x\implies 2\frac{1}{4}}=x[/tex]
Mrs.Peterson dropped a ball from the top of a tower. At the same time, her son, Drake, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+26.
The height of Drakes rocket after t seconds can be represented by the linear function: p(t)=-2t+10.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.
Answers
9514 1404 393
Answer:
two solutions: t = -4, t = 4t = -4 is not reasonable4 secondsStep-by-step explanation:
A graphing calculator shows the two solutions to be ...
(t, h) = (-4, 18) and (4, 2)
__
The two heights will be equal when ...
p(t) = b(t)
-2t +10 = -t^2 -2t +26
t^2 -16 = 0 . . . . subtract the right side expression
(t -4)(t +4) = 0 . . . factor the difference of squares
t = 4 or -4 . . . . values of t that make the factors zero
At these times, the heights will be ...
p(t) = -2{4, -4} +10 = {-8, 8} +10 = {2, 18}
The solutions are ...
(t, height) = (-4, 18) and (4, 2).
__
We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4 is an extraneous solution.
__
The rocket and ball reach the same height after 4 seconds.
HELP PLS!! no links !!!
Answers
Answer:
the correct answer is b
Step-by-step explanation:
Like and give 5 star rating
PLEASE HELP I will mark you BRAINLIST
Answers
Answer:
Angle B: 180-135=45° - supplementary angle rule
Angle C: 180-45-70=65° - sum of interior angles of triangle is 180
Angle D= Angle B : 45° - Alternate interior angles
Angel E=Angle A: 70° - Alternate interior angle.
Angle F: 180-Angle E(70) = 110° - supplementary angle rule
Step-by-step explanation:
how do I make this as simplest form
qns: 5 2/3 + 3 1/10
pls answer
the prod. is 8 23/30
Answers
Answer:
That is the final product
Step-by-step explanation:
According to all sites I used, they all said that was in the simplest form and cannot be simplified lower than that.
Help please!! I will mark brainilist and give a lot of points.
This is Pythagorean theorem.
Formula: a^2+b^2=c^2
When I say ^2 I mean to the power of 2.
The question is asking me to solve for a.
Then give me b and c which is b = 17 1/3 and c = 16.
How do I solve for a when b is greater than c? Won’t that give me a negative a? You can’t have a negative a right?
Unless I’m wrong.
Please help my solve this!!!!! :D
Answers
Answer:
a = 23.588
Step-by-step explanation:
a^2 = 17 1/3^2 + 16^2
a^2 = 300.4 + 256
a^2 = 556.4
a = 23.588 (I rounded to thousandths but you can round to whatever)
Hello there,
I just looked into the question and you are absolutely right whatever you inferred.I think the question might be wrong.The value of c should be greater than b.I guess it will like this:[tex]b = 16 \: \: \: c = 17 \frac{1}{3} [/tex]The values should be like this.I am solving the equation by this:[tex] {a}^{2} = {c}^{2} - {b}^{2} \\ = > {a}^{2} = {(17 \frac{1}{3}) }^{2} - {(16)}^{2} \\ = > {a}^{2} = {( \frac{52}{3} )}^{2} - {(16)}^{2} \\ = > {a}^{2} = ( \frac{52}{3} - 16)( \frac{52}{3} + 16) \\ = > {a}^{2} = ( \frac{52 - 48}{3} )( \frac{52 + 48}{3} ) \\ = > {a}^{2} = \frac{4}{3} \times \frac{100}{3} \\ = > {a}^{2} = \frac{400}{9} \\ = > a = \sqrt{ \frac{400}{9} } \\ = > a = \frac{20}{3} \\ = > a = 6 \frac{2}{3} [/tex]So, the value of a is [tex]a = 6 \frac{2}{3} [/tex]Hope you could get an idea from it.
Doubt clarification - use comment section.
Please help me
The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y. Write any fractions in the simplest form.
When y=45 , x=40 .
Answers
y=kx
20=k(12)
k= 20/12 = 5/3
y= (5/3)x
y = 5x/3 or
3y=5x
*WILL GIVE BRAINLIEST FOR BEST ANSWER*
Subtract. Write your answer in scientific notation.
(5.6×106)–(1.1×106)
Answers
Answer:
447
Step-by-step explanation:
Need some help with these 2 math questions, They are related so best to finish one then work on the bisect. Thank you.
Answers
Answer:
∠RQT = 23.5
∠PQR = 133°
Step-by-step explanation:
Question 1Step 1 - Add angles together:
As all angles on a straight line must add up to 180°:
3x - 5 + x + 1 = 180
Add like terms together
3x + x - 5 + 1
4x - 4 = 180
Step 2 - Add 4 to both sides of the equation:
4x - 4 + 4 = 180 + 4
4x = 184
Step 3 - Divide both sides by 4:
[tex]\frac{4x}{4} = \frac{184}{4}[/tex]
x = 46
∠RQS = x + 1
∠RQS = 46 + 1
∠RQS = 47
Given the ray QT bisects ∠RQS, the angles must be the same on either side so:
47 ÷ 2 = ∠RQT
∠RQT = 23.5
Question 2As we know the value of x:
∠PQR = 3x - 5
Plug known values in:
3x - 5
3(46) - 5
138 - 5
∠PQR = 133°
This can also be calculated by subtracting known angle ∠RQS from 180:
180 - 47 = 133.
Hope this helps!
Which element should be used to help clarify a complicated idea in a text? (1 point) O a new topic O a bibliography O a visual O a research question w
Answers
The element which should be used to help clarify a complicated idea in a text is ; A research question.
According to the question;
We are required to determine which element should be used to help clarify a complicated idea in a text.A research question is the best fit which should be used to help clarify a complicated idea in a text.
This is so because; a research question provides a basis for accessing all perspectives there is to the complicated idea.
Read more:
https://brainly.com/question/18675306
Answer:
D:) a research question.
Step-by-step explanation:took the test
Select all the statements that are true for △ABC.A. AH is an altitude.
B. IH is a median.
C. JC is a median.
D. The medians and altitudes intersect at the same point.
E. The altitudes intersect outside of the triangle.
Answers
The relationships between the two medians and an altitude marked on
ΔABC can be used to determine the true statements.
The true statements are;
A. AH is an altitudeC. JC is a medianReasons:
A median line is a line that extends from the vertex to the midpoint of the
opposite side, bisecting the opposite side.
In the figure, we have;
The median of ΔABC are; JC, and BI
The point of intersection is the point K
The altitude is a perpendicular line from a vertex to the opposite side
known as the base of the triangle.
The given altitude of ΔABC is; AH
Therefore, the statements that are true are;
A. AH is an altitude
C. JC is a median
Learn more about the median line and altitude of a triangle here:
https://brainly.com/question/2141396
https://brainly.com/question/4420798
Multiply or divide. write fractions in simplest form.
-2/7 divided by (-8/21)
please help with this problem i will mark you brainliest :)
Answers
Answer:
3/4
Step-by-step explanation:
(-2/7) / (-8/21)
When dividing by a fraction flip it over and multiply
(-2/7) * (-21/8)
Cancel 2 and 8
(-1/7) * (-21/4)
Cancel 7 and 21
(-1/1) * (-3/4)
multiply
3/4
Solve. 3(x-6) - 8x = -2 + 5(2x+1)
Answers
Answer: x = -1.4
Step-by-step explanation:
Answer: x = -7/5
Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1) 3x+−8x+−18 = 10x+−2+5 −5x+−18 = 10x+3 −5x−18-10x = 10x+3-10x −15x−18+18 = 3+18 −15x/-15=21/-15 x = -7/5
Find the value of y.
Answers
Answer:
y = 155
Step-by-step explanation:
6x + 1 = 2x + 17
x = 4
2 · 4 + 17 + y = 180
y = 155
I hope that this helps!!
A factory made 900 jars of peanut butter. 35% of the jars contained creamy peanut butter. How many jars of creamy peanut butter did the factory make?
Answers
Answer:
315 jars
Step-by-step explanation:
This question is merely another way of writing: what is 35% of 900?
Now, when we look at it that way, it's easy to solve.
So, the way to solve is to either multiply 35% by 900, or just interpret that as 0.35 times 900. Anyway, the result is 315.
I hope this helped a bunch! Tell me if you need any further assistance...
( :
Sabrina has eight boxes of crayons, with ten crayons in each box. She uses twelve crayons. How many crayons does she
have left?
Answers
Answer:
68
Step-by-step explanation:
8 boxes. 10 per one box. 8×10=80
80-12= 68
how is 7 square root 2 is equal to 49?
Answers
Answer:
Square root is how many times your multiply the number by itself. So 7 square root 2 is 7x7 which is 49.
I want the answer for this question please
Answers
use brainly and scan it, you will get some recommendation
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Perimeter of given triangle is ~
[tex] \boxed{ \boxed{26 \: \: units}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The given triangle is an Isosceles triangle, with equal sides (4x + 2) and (7x - 4)
that is ~
[tex]4x + 2 = 7x - 4[/tex][tex]7x - 4x = 2 + 4[/tex][tex]3x = 6[/tex][tex]x = 6 \div 3[/tex][tex]x = 2[/tex]Now, measure of its sides are ~
# 1 - 4x + 2 = (4 × 2) + 2 = 8 + 2 = 10 units# 2 - 7x - 4 = (7 × 2) - 4 = 14 - 4 = 10 units # 3 - 3x = (3 × 2) = 6 unitsSo, Perimeter = Sum of all three sides of the triangle ~
[tex]10 + 10 + 6[/tex][tex]26 \: \: units[/tex]310.11 divided by 2????
Answers
Answer:
155.055
Step-by-step explanation:
hope this helps
Answer:
155.055
Step-by-step explanation:
Laws involving positive integral exponents to zero & negative integral exponents.
Paul and anthony were asked to simply a^(2)/a^(-7) . Who do you think is correct in simplifying tge given expression? Justify your answer in 3 to 5 sentences.
Answers
Answer:
Both are correctStep-by-step explanation:
Paul used the following identities:
[tex]a^{-b}=1/a^b[/tex][tex]a^b*a^c=a^{b+c}[/tex]Anthony used the identity:
[tex]a^b/a^c= a^{b-c}[/tex]A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $8 per linear foot to install and the farmer is not willing to spend more than $4000, find the dimensions for the plot that would enclose the most area.
Answers
The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.
In this question we shall use the first and second derivative tests to determine the optimal dimensions of a rectangular plot of land. The perimeter ([tex]p[/tex]), in feet, and the area of the rectangular plot ([tex]A[/tex]), in square feet, of land are described below:
[tex]p = 2\cdot (w+l)[/tex] (1)
[tex]A = w\cdot l[/tex] (2)
Where:
[tex]w[/tex] - Width, in feet.[tex]l[/tex] - Length, in feet.In addition, the cost of fencing of the rectangular plot ([tex]C[/tex]), in monetary units, is:
[tex]C = c\cdot p[/tex] (3)
Where [tex]c[/tex] is the fencing unit cost, in monetary units per foot.
Now we apply (2) and (3) in (1):
[tex]p = 2\cdot \left(\frac{A}{l}+l \right)[/tex]
[tex]\frac{C}{c} = 2\cdot (\frac{A}{l}+l )[/tex]
[tex]\frac{C\cdot l}{c} = 2\cdot (A+l^{2})[/tex]
[tex]\frac{C\cdot l}{c}-2\cdot l^{2} = 2\cdot A[/tex]
[tex]\frac{C\cdot l}{2\cdot c} - l^{2} = A[/tex] (4)
We notice that fencing costs are directly proportional to the area to be fenced. Let suppose that cost is the maximum allowable and we proceed to perform the first and second derivative tests:
FDT
[tex]\frac{C}{2\cdot c}-2\cdot l = 0[/tex]
[tex]l = \frac{C}{4\cdot c}[/tex]
SDT
[tex]A'' = -2[/tex]
Which means that length leads to a maximum area.
If we know that [tex]c = 8[/tex] and [tex]C = 4000[/tex], then the dimensions of the rectangular plot of land are, respectively:
[tex]l = \frac{4000}{4\cdot (8)}[/tex]
[tex]l = 125\,ft[/tex]
[tex]A = \frac{(4000)\cdot (125)}{2\cdot (8)} -125^{2}[/tex]
[tex]A = 15625\,ft^{2}[/tex]
[tex]w = \frac{15625\,ft^{2}}{125\,ft}[/tex]
[tex]w = 125\,ft[/tex]
The dimensions for the plot that would enclose the most area are a length and a width of 125 feet.
We kindly invite to check this question on areas: https://brainly.com/question/11952845
Express the division expression as a fraction in simplest form. Then, rewrite the fraction as a mixed number.
14 ÷ 4
Answers
Step-by-step explanation:
14 ÷ 4 is the same as the corresponding fraction (because a fraction is nothing else than a mini-division) :
14/4 = 7/2
and 7 divided by 2 is 3 with a remainder of 1. that means 1 time 1/2 remains as fraction.
so, the mixed number is
3 1/2
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
Answers
Answer:
I dont but want to.
Hope this helps! :) ;-;
Step-by-step explanation:
