Answers
a) The details of this long division is shown in the image attached.
b) This division can not work as the result is zero.
c) 5/6 is a rational number. This is because the quotient is a terminating decimal.
Long division is a technique for dividing two numbers that involves working through the remainder and quotient step-by-step. When dividing a larger number (dividend) by a smaller number (divisor) that is difficult to divide in one step, it is usually utilized.
Until there are no more dividend digits, the procedure entails dividing the dividend by the divisor several times, multiplying the divisor by the quotient gained in each step, removing the product from the partial remainder, and bringing down the next dividend digit.
Related Questions
A catering company loses $110 as a result of delay. The 5 owners of the company must share the loss equally. Which integer represents the change in profit for each owner?
Answers
The loss of each owner of the catering company is 22 dollars.
What is average?Average is the sum of the total weights of each individual divided by the number of individuals.
Given that a catering company loses 110 dollars as a result of the delay and the company has 5 owners and they share the loss equally.
As the loss has been shared by the owners equally we have to divide the total loss occurred by the total no. of owners to obtain the amount of loss for each individual which is,
= 110/5 dollars.
= 22 dollars.
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Simplify 5x + 3y - 2x
Answers
**Please check my first 2 answers**
8 × 19
A.
(8 × 10) + (8 × 1)
B.
(8 × 20) − (8 × 1) (I choose this)
C.
(8 × 20) − 1
D.
(8 × 10) − (8 × 1)
=========
2(9 + 3)
A.
(2 × 9) − (2 × 3)
B.
(2 × 9) + (9 × 3)
C.
(2 × 9) + 3
D.
(2 × 9) + (2 × 3) (I choose this)
====================
For questions 3–4, simplify using the Distributive Property.
7 × 48
A.
(7 × 50) − (7 × 2) = 350 – 14 = 336
B.
(7 × 40) + 8 = 288
C.
(7 × 50) – 2 = 348
D.
(7 × 40) + (7 x 8) + 7 = 343
==============
9 × 81
A.
(9 × 80) + 1 = 721
B.
(9 × 80) – (9 × 1) 711
C.
(9 × 80) + (9 × 1) =729
D.
(9 × 90) – (9 x 1) = 801
Answers
Answer:
1. B. (8 x 20) - (8 x 1)
2. D. (2 x 9) + (2 x 3)
3. A. (7 x 50) - (7 x 2) = 350 - 14 = 336
4. C. (9 x 80) + (9 x 1) = 729
Paul's family drove 377 mi to the beach averaging 58 mi/h on the way there. On the return trip home, they averaged 65 mi/h .
What was the total time Paul's family spent driving to and from the beach?
Answers
Total time driving to and from beach: 12.3 hours; averaging 58 mph there, 65 mph returning home.
To find the total time Paul's family spent driving to and from the beach, we can calculate the time for each leg of the trip and then add them together.
1. Time taken for the trip to the beach:
[tex]\[ \text{Time}_1 = \frac{\text{Distance}_1}{\text{Speed}_1} \][/tex]
2. Time taken for the return trip:
[tex]\[ \text{Time}_2 = \frac{\text{Distance}_2}{\text{Speed}_2} \][/tex]
Given:
[tex]- Distance to the beach, \( \text{Distance}_1 = 377 \) miles\\- Speed to the beach, \( \text{Speed}_1 = 58 \) mph\\- Speed returning home, \( \text{Speed}_2 = 65 \) mph[/tex]
Let's calculate:
[tex]1. \[ \text{Time}_1 = \frac{377}{58} \][/tex]
[tex]2. \[ \text{Time}_2 = \frac{377}{65} \][/tex]
Now, let's compute:
[tex]\[ \text{Time}_1 = \frac{377}{58} \approx 6.5 \text{ hours} \]\[ \text{Time}_2 = \frac{377}{65} \approx 5.8 \text{ hours} \][/tex]
Finally, to find the total time spent driving to and from the beach, we add these times:
[tex]\[ \text{Total time} = \text{Time}_1 + \text{Time}_2 \]\[ \text{Total time} \approx 6.5 + 5.8 \]\[ \text{Total time} \approx 12.3 \text{ hours} \][/tex]
So, Paul's family spent approximately 12.3 hours driving to and from the beach.
Which colors or color schemes are predominant in this artwork?
A. Complementary
B. Intermediate
C. Cool
D. Warm
Answers
What Are the partial product of 45x5=?
Answers
Hope I helped
An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday, they sold 147 more child tickets that adult tickets. How many tickets did the amusement park sell on Saturday?
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Lance earned 4 times as much money mowing lawns in July as he did in June. He earned a total of $140 during June and July. How much money did Lance earn in June?
Answers
Which of the following is the graph of y = 4x + 3?
Answers
It will pass through the following points:
(-2, -5) ,(-1,-1), (1, 7), (2, 11), (3, 15).
What is the value of c? 14=2c−6+3c Enter your answer in the box.
Answers
add 6 to both sides and you'll get 20
divide 20 by 5
and c=4
The solution of the equation 14 = 2c − 6 + 3c will be 4.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The equation is given below.
14 = 2c − 6 + 3c
Simplify the equation, then the value of the variable c will be
14 = 2c − 6 + 3c
20 = 5c
c = 20 / 5
c = 4
The solution of the equation 14 = 2c − 6 + 3c will be 4.
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A number x plus 10 is more than 2
Answers
x + 10 > 2 <== ur inequality
x > 2 - 10
x > - 8
On simplification of inequality x + 10 > 2, we get x>-8.
The given question is related to algebra and inequalities.
To solve the inequality 'x + 10 > 2', we need to isolate x.
Subtract 10 from both sides: x + 10 - 10 > 2 - 10.
This simplifies to: x > -8.
△EFG≅△JKL. What is m∠K? Enter your answer in the box. ° Two same size triangles. Triangle L J K and triangle E F G. angle F is 62 degrees. Angle G is 53 degrees.
Answers
m∠E = m∠J , m∠F = m∠K , and m∠G = m∠L.
m∠K = 62°
A class is going on a field trip to see a movie. Each ticket is $8.00. The number of students, n, who will receive a $8.00 ticket is proportional to the total cost, C, of all the tickets. Which equation could be used to find the total cost of all the tickets
Answers
Hope this helps!
Which of the following represents the zeros of f(x) = 2x3 − 5x2 − 28x + 15?
5, −3, −1 over 2
5, −3, 1 over 2
5, 3, −1 over 2
5, 3, 1 over 2
Answers
So B
I just took the test and got it correct!
Answer: B) 5, −3, 1 over 2 are the zeros of f(x).
Step-by-step explanation:
Given function f(x)=[tex]2x^3-5x^2-28x+15[/tex]
If a is a zero of f(x) then f(a)=0
Let's check all the options
[tex]f(5)=2(5)^3-5(5)^2-28(5)+15\\=2(125)-5(25)-28(5)+15=250-125-140+15=0[/tex]
[tex]f(-3)=2(-3)^3-5(-3)^2-28(-3)+15\\=2(-27)-5(9)-28(-3)+15=-54-45+84+15=0[/tex]
[tex]f(\frac{-1}{2})=2\frac{-1}{2}()^3-5(\frac{-1}{2})^2-28(\frac{-1}{2})+15\\=2(\frac{-1}{8})-5(\frac{-1}{4})+14+15=\frac{-1}{4}-\frac{5}{4}+29=\frac{110}{4}=\frac{55}{2}\neq 0[/tex]
Therefore , 5 and -3 are zeroes of f(x).but -1/2 is not.
[tex]f(\frac{1}{2})=2\frac{1}{2}()^3-5(\frac{1}{2})^2-28(\frac{1}{2})+15\\=2(\frac{1}{8})-5(\frac{1}{4})-14+15=\frac{1}{4}-\frac{5}{4}-14+15=0[/tex]
⇒ 1/2 isthe third zero of f(x).
Here we got our three zeroes as 5,-3,1/2,rest other will not satisfy f(a)=0
Therefore B represents the zeroes of f(x).
441 is 63% of what number????????????????????????????? help
Answers
The outside temperature was 73°f at 1.p.m and decreases at a rate of 1.5°f each hour. What expression can be used to determine the temperature h(h is the variable) hours after 1.p.m?
Answers
The expression to represent the temperature 'h' hours after 1 p.m. given an initial temperature of 73°F and a decrease rate of 1.5°F per hour is 73 - 1.5h. This allows us to calculate the temperature at any given hour where 'h' is the number of hours after 1 p.m.
Explanation:The problem involves dealing with linear equations, specifically those representing changes over time. In this situation, the temperature starts at 73°F at beginning of the time, i.e., at 1 pm and then decreases at a steady rate of 1.5°F per hour.
So, the decrease in temperature can be represented by 1.5h, where h is the number of hours elapsed since 1 p.m. As the temperature starts at 73°f, we subtract this decrease from the initial temperature. Therefore, the expression to determine the temperature after h hours is 73 - 1.5h.
This equation tells us that for each hour after 1 p.m., we simply subtract 1.5 from 73 and this would give the temperature at that time. For example, at 2 p.m., h equals 1, and the equation 73 - 1.5(1) gives us 71.5°F.
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Is the simplified form of 2 square root of 3 ⋅ square root of 12 rational?
Answers
Hope you understand what I mean!
What is the median of 18 and 16
Answers
18 17 16...therefore 17 is the middle number.
In a number line, the order is
16, 17, 18
Because 17 is inbetween 16 & 18, 17 is the median
hope this helps
17 is your answer
What are the expressions in factored form?
6x^2 + 4x
4x^2 + 11x + 6
9x^2 - 4
Answers
4x^2 + 11x + 6 = (4x + 3)(x + 2)
9x^2 - 4 = (3x +2)(3x - 2)
(4x+3)(x+2)
(3x+2)(3x-2)
How many 3/4-cup servings are in 1/2 of a cup of milk? Write your answer in simplest form.
Answers
In this question, you are asked how many cups of milk is 3/4 serving from 1/2 cup of milk. To answer this, you need to multiply the number of serving with the serving size.
If one serving is 1/2 cups of milk, then 3/4 servings would be:
3/4 servings * (0.5 cups / serving)= 3/8 cups of milk = 0.375 cups of milk
how did the british allies help them win so many battles
Answers
We Americans had allies, the French sent us troops and a navy and Spain sent us gun powder. The main reason we had allies were, Spain and France didn't like the British more than they liked us but they were still allies. France at that time was also prerevolutionary, They had a king still.
The real heavy lifting of the revolution was still performed by the patriots at that time though.
Individuals from foreign states also helped us. The Marquis de LaFayette, Sasabar Polaski and Friederich Wilhelm von Steuban helped train and organize the Continental Army so it could fight a proper war and were instrumental to the success of the revolution's military side.
I hope that helped out.
sumaya is reading a book with 240 pages.She has already read 90 pages.She plans to read 20 more pages each day until she finishes the book.
a. sumaya writes the equation 330= -20d to find the number of days she will need to finish the book. Identify the areas that sumaya made.
b.Write and solve an equation to determine how many days sumaya will need to finish the book. In your answer, count part of the day as a full day.
Answers
b) 150 = 20d the answer is about 7 to 8 days
explain :
Zumaya adds 240 page and 90 page she read together. the reason it's wrong because the book only had 240 page, you can't add the page you had read together you need to subtract the 240 to 90 to get 150 to know how many pages she has to read.
What is the area of rhombus ABCD ? Enter your answer in the box. Do not round at any steps. units² Rhombus A B C D on a coordinate plane with vertex A at 1 comma 0, vertex B at 7 comma negative 2, vertex C at 1 comma negative 4, and vertex D at negative 5 comma negative 2. Point P is at negative 3.8 comma 1.6. Dashed segments join point P to point D and point P to point A, forming right angle D P A.
Answers
[tex]A = \frac{1}{2}\cdot d_1\cdot d_2[/tex]
In this case we have:
[tex]d_1 = |7-(-5)|=|7+5|=|12|=\boxed{12}\\\\d_2 = |0-(-4)|=|0+4|=|4|=\boxed{4}[/tex]
so the area:
[tex]A=\frac{1}{2}\cdot d_1\cdot d_2=\frac{1}{2}\cdot 12\cdot 4=6\cdot4=\boxed{24\,\,\text{units}^2}[/tex]
Answer: 24 Units squared
Step-by-step explanation:
what is the first thing you need to do to add 1/9 5/6
Answers
To add fractions 1/9 and 5/6, find the least common denominator, convert each fraction to have this denominator, then add the numerators while keeping the denominator the same. The resulting fraction is 17/18.
Explanation:The first thing you need to do to add fractions 1/9 and 5/6 is to find a common denominator. Since we can only add numerators with the same denominator, we must convert these fractions so that they have the same bottom number. The least common denominator (LCD) for 9 and 6 is 18.
So, we convert 1/9 by multiplying both its numerator and denominator by 2, to get 2/18. Similarly, we convert 5/6 by multiplying both its numerator and denominator by 3, to get 15/18. Now we can add the numerators:
2/18 + 15/18 = 17/18
Remember, we never add the denominators; they remain the same. After finding a common denominator and converting each fraction, we add the numerators together to get the final result.
Final answer:
To add 1/9 and 5/6, find a common denominator, convert each fraction to an equivalent fraction with this denominator, and then add the numerators. The least common multiple of 9 and 6 is 18, leading to 1/9 + 5/6 = 17/18 after conversion and addition.
Explanation:
The first thing you need to do to add the fractions 1/9 and 5/6 is to find a common denominator. A common denominator is necessary because you can only add fractions directly when they share the same denominator. To find a common denominator, you can often multiply the denominators together, but it's better to find the least common multiple (LCM) of the two denominators to simplify the process.
Once the common denominator is found, you convert each fraction to an equivalent fraction with this common denominator. Then, you add the numerators while keeping the denominator the same. The denominators are never added together. If the result is an improper fraction, you may have to simplify it or convert it to a mixed number.
Using our given fractions, the LCM of 9 and 6 is 18. Therefore, 1/9 can be converted to 2/18 and 5/6 to 15/18. Adding these gives 2/18 + 15/18 = 17/18.
Factor completely 16a^3b^7 + 2a^6b^4 − 22a^4b^5.
Answers
2a^3b^4(8b^3+a^3-11ab)
Answer:
[tex]2 a^3 b^4 (a^3 - 11 a b + 8 b^3)[/tex]
Step-by-step explanation:
The given expression is
[tex]16a^3b^7 + 2a^6b^4 -22a^4b^5[/tex]
We need to find the factored form of the given expression.
In the given expression [tex]2 a^3 b^4[/tex] is the greatest common factor of all terms.
Taking GCF we get.
[tex]2 a^3 b^4 (8 b^3+a^3 - 11 a b)[/tex]
In can be written as
[tex]2 a^3 b^4 (a^3 - 11 a b + 8 b^3)[/tex]
This expression is the complete factored form of the given expression because [tex]a^3 - 11 a b + 8 b^3[/tex] can not be factored further.
Therefore, the factor form of given expression is [tex]2 a^3 b^4 (a^3 - 11 a b + 8 b^3)[/tex].
Increase £3000 by 5.4%
Answers
3000 + 162 = 3162
your answer is £3162
hope this helps
What is the slope of the line?
y = -9/10x + -6
Question 8 options:
a) 6
b) 9/10
c) -6
d) -9/10
Answers
because the slope is the number before the x
y = mx + b
where m = slope, and b = y-intercept.
m, the slope, multiplies the variable x.
m = slope
In your case, you have -9/10 multiplying x, just like m is in the equation I wrote, so the slope is -9/10
The graph of g(x) is a transformation of the graph of f(x)=3x
Enter the equation for g(x) in the box.
Answers
Answer:
The given graph is : f(x) = [tex]3^x[/tex]
The graph g(x) is transformation of graph f(x).
The curve g(x) passes through (-2,2) and (-1,4).
Let (a,b) be any point on f(x).After translation new curve g(x) is obtained which is parallel to line, y=1 or asymptode is ,y=1 or when y becomes 1 the graph becomes parallel to x axis.
g(x)= y-1=[tex]3^{x+2}[/tex]
g(x) = y = [tex]3^{x+2} +1[/tex] is the graph of translated curve.
The two graph is depicted below.
What is three fourths plus two thirds?
Answers
hope this helpes
1 [tex] \frac{5}{12} [/tex]
Explanation:
[tex] \frac{3}{4} [/tex] + [tex] \frac{2}{3} [/tex]
Make the denominators equal by finding the least common factor:
([tex] \frac{3}{3}[/tex] • [tex] \frac{3}{4} [/tex]) + ([tex] \frac{4}{4}[/tex] • [tex] \frac{2}{3} [/tex])
[tex] \frac{9}{12} [/tex] + [tex] \frac{8}{12} [/tex]
9 + 8 = 17
[tex] \frac{17}{12}[/tex] can be simplified to 1 [tex] \frac{5}{12} [/tex]
The first four terms of a sequence are given below.
20 , 29 , 38 , 47 , ... What are the next three terms of the sequence?