What is 858 divided by 57 using partial quotients

Answers

Answer 1

Answer:

The answer will be: [tex]15 + \frac{3}{57}[/tex]

Step-by-step explanation:

In Partial quotients method, first we will subtract an easy multiple of the divisor from the dividend. Then repeat the subtraction until the remainder is less than the divisor.  Finally, we need to add up all the multiples of the divisor to find the quotient of the division.

Here, dividend is 858 and divisor is 57.

[tex]57)\overline{858}[/tex]

  - 570            × 10

     288

    - 285            × 5

         3

So, the quotient of the division will be:  [tex](10+5)=15[/tex] and the remainder is:  3

We can write the answer as:  [tex]15 + \frac{3}{57}[/tex]


Related Questions

98 POINTS PLEASE HELP! How does the graph of f(x) = (x − 1)^2 relate to the basic function f(x) = x^2?

a.
shift 1 unit to the left
c.
shift 1 unit up
b.
shift 1 unit to the right
d.
shift 1 unit down

Answers

When you graph the two functions given, the graph B) shift 1 unit to the right.

Graph the two functions, see attached pictures:




~Rise Above the Ordinary


Suppose that the cost of renting a snowmobile is $37.50 for 5 hours. What would be the cost of renting 2 snowmobiles for 5 hours?

Answers

since 1 snowmobile is $37.50 for 5 hours you can multiply by 2 and get a total of $75 for 5 hours
Final answer:

The cost of renting 2 snowmobiles for 5 hours would be $75, as you double the cost for one snowmobile, which is $37.50.

Explanation:

The cost for renting one snowmobile for 5 hours is

$37.50

. If you want to rent 2 snowmobiles for the same amount of time, you simply need to double the cost. In mathematics, this is a simple multiplication operation. So,

2 x $37.50 = $75

. Therefore, the cost of renting 2 snowmobiles for 5 hours would be

$75

.

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Which statement best describes the function h(t) = 210 – 15t?

Answers

h(t) is a linear function with a slope of -15.

Answer:

B

Step-by-step explanation:

1.819÷1.2 round your answer to the nearest tenth

Answers

Answer to the nearest tenth would be

1.52

3/4-5/4m=113/24
please show work

Answers

may need to change into a mixed fraction

Find the area of the rectangle 9ft and 14ft

Answers

You simply need to mulotiply those two numbers


Then u get 126!

Easy Peasy

Algebra 2 help!! Find the value of k

Answers

13  By the factor theorem, if the function is divisible by x - 3 then f(3) = 0. So we have:-

2(3)^3 + k(3)^2 + 7(3) - 3 = 0

9k = 3 - 21 - 54 = -72

k =  -72/9 =  -8 answer

14.   Similarly ,   f(-4) = 0 , so we have:-

(-4)^3 + 9(-4)^2 + k(-4) - 12 = 0

-64 + 144 - 4k - 12 = 0

4k = -64 + 144 - 12 = 68

k = 68/4

k = 17   answer

Julia rounded to the nearest ten to estimate the difference between two numbers. The estimated difference was 10. What are four pairs of numbers she might have sustractrd?

Answers

To round off to 10, the difference should range from 5 to 14. If the difference between two numbers is from 5 to 14, they all are rounded to 10.

Example:

[tex]18-9=9[/tex] (near to 10)

[tex]26-15=11[/tex]

[tex]46-39=7[/tex]

[tex]50-42=8[/tex]


If Julia rounded to the nearest ten to estimate the difference between two numbers. The estimated difference was 10. (18,9)(25,14), (36,22) and (45, 38) are few pairs of numbers she might have subtracted.

What is Number system?

A number system is defined as a system of writing to express numbers.

The difference should range from 5 to 14.

Difference in math is the result of one of the important mathematical operations, which is obtained by subtracting two numbers

To round off to 10.

If the range of difference between two numbers is from 5 to 14. Then those numbers are rounded to ten.

Let us consider some pairs of numbers whose difference is rounded to ten.

18-9=9

25-14=11

36-22=14

45-38=7

Hence (18,9)(25,14), (36,22) and (45, 38) are few pairs of numbers she might have subtracted.

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7. A line in the Cartesian plane passes through the points (1, 3) and (5, 4). What is the slope of the line? A. 1/4 B. –4/1 C. 4/1 D. –1/4

Answers

A

to calculate the slope m , use the ' gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (5, 4)

m = [tex]\frac{4 - 3}{5 - 1}[/tex] = [tex]\frac{1}{4}[/tex] → A


A rectangle is four times as long as it is wide. If it has an area of 36 square inches, what are its dimension?.
a. 6 by 6
b. 3 by 12
c. 4 by 9
d. 4 and 8

Answers

Answer:

b on edge

Step-by-step explanation:

Final answer:

The dimensions of the rectangle are 3 inches by 12 inches. This conclusion is achieved by using the supplied information that the rectangle is four times as long as it is wide, and the area is 36 square inches.

Explanation:

The problem is describing a rectangle whose length is four times its width and has an area of 36 square inches. The formula for the area of a rectangle is length x width. Given the rectangle is four times as long as it is wide, we can represent the width as 'w' and the length as '4w'. Therefore, the calculation would look as follows: 4w * w = 36. Solving this equation we get w^2=9, so w=3. Consequently, the length would be 4*3=12. Therefore, the dimensions of the rectangle are 3 inches by 12 inches.

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Juan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Juan drove home, there was no traffic and the trip only took 6 hours. If his average rate was 16 miles per hour faster on the trip home, how far away does Juan live from the mountains?

Answers

Answer:Juan live 384 miles from the mountains.

Step-by-step explanation:

Let x be the speed  of Juan for trip to the mountains

Time taken by Juan to reach the mountains=8 hours

then distance traveled by Juan for trip to mountain= speed × time=8x..........(1)

Time taken by Juan to reach the home= 6 hours

Speed increased by 16 miles per hour ∴ the resultant speed to reach the home by Juan =x+16

then distance traveled by Juan to reach the home =speed × time

= (x+16)6......................(2)

Now distance is same in both the case (1) and (2),we get

8x= (x+16)6

⇒8x=6x+96..............(by solving brackets)

⇒2x=96..............(subtracting 6x from both sides )

⇒x=48....................(dividing 2 from both sides)

Putting this value in (1) ,we get

Distance traveled by Juan for trip to mountain =8×48=384 miles.

∴ Juan live 384 miles from the mountains.


Final answer:

By using the rate and time of journey, it is determined that Juan lives 384 miles away from the mountains.

Explanation:

This question is about calculating the distance based on the rate and time of travel. Let's denote the distance to the mountains as 'D'. According to the question, Juan drove to the mountains and it took 8 hours. On his way home, there was no traffic and he was able to travel at a faster rate, which took 6 hours.

Let's denote the speed to the mountains as 'S', therefore his speed back was 'S + 16' (16 miles per hour faster). From the formula speed = distance/time (D = S*T), we know that the distance to and from the mountains remained the same, so we can set up the following equation to solve for the unknown distance D:

8S = 6(S + 16)

Solving for 'S' we get 48 mph. We can substitute S=48 into the first equation to get D = 8S = 8*48 = 384 miles. So, Juan lives 384 miles away from the mountains.

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X to the power of 2 equal 100 how to solve

Answers

Create the expression:

x^2 = 100

Take the square root of both sides:

x = 10

Answer: {-10, +10}

Step-by-step explanation: A common mistake in this problem would be to say that if x² = 100, x must equal 10.

Remember however that before you do anything else you must set the equation equal to 0.

So our first step is to subtract 100 from both sides to get x² - 100 = 0. Next, factor the left side to get (x + 10)(x - 10) = 0.

So either x + 10 = 0 or x - 10 = 0.

Solving for x in each equation, we have x = -10 or x = +10.

So our answer is not just 10, it's -10 or +10.

I have also attached my work in the image provided.

Given: `Delta`ABC
Prove: The sum of the interior angle measures of `Delta`ABC is 180°.
What is the missing step in this proof?

Answers

Answer: Statement: `/_1 ~= /_4`, and `/_3 ~= /_5`.

Reason: Alternate Interior Angles Theorem

I just did the test and got 100%

Answer:

Statement 3:[tex]m\angle 1\cong m\angle 4 and m\angle3\cong m\angle 5[/tex].

Reason:Alternate Interior  Angles Theorem

Step-by-step explanation:

We are given that  a triangle ABC.

We have a proof  that the sum of interior angle measures pf triangle ABC is [tex]180^{\circ}[/tex].

We have to find the missing steps in the given proof.

Statement 1 :Let  points A,B and C  form a triangle.

Reason: Given

Statement 2:[tex]$\overleftrightarrow{DE}$[/tex] is a line passing through B and parallel to [tex]\overline{AC}[/tex] with angles as labeled.

Reason: Definition a parallel line and labeling angles.

Statement 3:[tex]m\angle 1\cong m\angle 4 and m\angle3\cong m\angle 5[/tex].

Reason:Alternate Interior  Angles Theorem

Statement 4:[tex]m\angle 1=m\angle 4 and m\angle 3=m\angle 5[/tex]

Reason: Congruent angles have same measures

Statement 5 [tex] m\angle 2+m\angle 4+m\angle =180^{\circ}[/tex]

Reason: Angle addition and definition of a straight angle

Statement 6: [ytex]m\angle 1+m\angle 2+m\angle 3=180^{\circ}[/tex]

Reason : By substitution

Hence proved.

a boat is marked up to 20% on the original price . The original price was $50 what is the sales price of the boat before sales tax?

Answers

Answer:

60

Step-by-step explanation:


Answer:

60 dollars.

Step-by-step explanation:

Markup is nothing but the difference between the selling price of a good or service and its cost. It is expressed as a percentage above the cost. In short, we can say that  it is the added price over the total cost of the good or service that provides the seller with a profit.

Original price = 50 dollars

ADD: 20% on original price = Markup price = 50(20/100) = 10 dollars

Hence Sales price = 50+10 = 60 dollars

5. Solve the inequality. Show your work. 5y + 16 ≤ 56-

Answers

Answer:  y  ≤ 8

Solution:

Step 1: Rearrange the equation so that all the like terms are on one side

5y + 16 ≤ 56  

= 5y ≤ 56 - 16                      constants on one side and variable on the other

= 5y ≤ 40

= y  ≤ 8

Hope the solution helps to understand the question!

Tip: Remember that if the inequality is multiplied by a negative sign the inequality sign flips.




Becca made 3 dozen cookies with 2/3 of a batch of her mother's cookie dough. How many cookies will she make if she uses that entire batch?

Answers

she would have 4.5 cookies if she used the entire batch

Will GIVE 5STARS!!!!
What is the radical form of the expression?

(5x^3y^4)^3/7

Answers

The answer is D

hope this helped


(5x^3y^4)^3/7

= 7th root of (5 x^3 y^4)^3

= 7th root of (5^3 x^9 y^12)

= 7th root of (125 x^9 y^12)

Answer is the last option

7th root of (125 x^9 y^12)

Kate sets a goal to walk 3 miles every day for a year. How many miles more or less than 1,000 miles will she walk in the year? A. 33 miles less B. 95 miles more C. 33 miles more D. 95 miles less

Answers

3 miles per day * 365 days = 1095

1095-1000=95

The answer is B. 95 miles more.

Find the sum of the first 4 terms of the series.

2-8+32-128+...

a. –101
c. –102
b. –103
d. –104

Answers

The sum of the first four terms of the series would be c. -102

Anyone please help me. Will give you brainliest.

1.When you rotate a figure counterclockwise, is that a positive rotation or a negative rotation?

2.Rotating from the x-axis to the y-axis is a rotation of how many degrees?

Answers

1. When you rotate a figure counterclockwise, is that a positive rotation or a negative rotation? It is a positive rotation. Positive rotations are counterclockwise or anti-clockwise.

2. Rotating from the x-axis to the y-axis is a rotation of how many degrees? it is generally 180 degrees. To rotate a figure 180 degrees, we apply the rule (x, y) → (-x, -y).

i dont really know about 2. but i think for 1. is it is a negative rotation if you spin it like that.

Select the multiplication sentence that applies the associative property of multiplication to the example. Example: (5 × 3) × 2 = 30 A. (5 + 3) × 2 = 16 B. 5 × (3 + 2) = 25 C. 5 × (3 × 2) = 30 D. 2 + (4 × 7) = 30

Answers

Answer : C

A. (5 + 3) × 2 = 16

Here we have 5 +3 . there is a + sign in between.  so it does not comes under Associative property of multiplication

B. 5 × (3 + 2) = 25

We have 3 + 2 . there is a + sign in between.  so it does not comes under Associative property of multiplication

C. 5 × (3 × 2) = 30

we have 5 times 3 times 2.  so it comes under Associative property of multiplication

D. 2 + (4 × 7) = 30

We have  2 + . there is a + sign in between.  so it does not comes under Associative property of multiplication

What is the correct evaluation of 2a2 - 3b2 when a is equal to 2 and b is equal to -1?


A.11


B.5


C.-5


D.-11

Answers

The correct answer is A. 11

What is the remainder of 23870 divide by 38

Answers

23870 divides by 38 is 628 remains 4
Final answer:

The remainder when dividing 23870 by 38 is 16.

Explanation:

To find the remainder when dividing 23870 by 38, you divide the larger number (the dividend) by the smaller number (the divisor). If the division operation does not produce a whole number, the 'left over' digits are considered the remainder. When you divide 23870 by 38, the quotient (or the answer) is 628, and the remainder is 16. Therefore, 16 is the remainder when 23870 is divided by 38.

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Find the perimeter of a triangle garden that measures 10 feet by x feet by (2 x+7) feet . Use p=a+b+c

Answers

P = 10 + x + 2x + 7

= (10 + 7) + (x + 2x)

= 17 + 3x

Therefore, the perimeter is 17 + 3x feet.

Answer:7x+12

Step-by-step explanation:

A 20 x 32 rectangle is embedded inside a 98 x 108 rectangle. They share a vertex and their sides partially over lap as shown. Find the distance between the centers of the two rectangles.

Answers

Answer:

The distance is 55 units.

Step-by-step explanation:

Think of the bottom left corner of the rectangles, the shared vertex, as the origin of a coordinate plane. The positive x-axis is the lower 108-unit long horizontal side, and the positive y-axis is the left vertical 98-unit long side. The bottom left vertex is (0, 0). The center of the small rectangle is at (10, 16). The center of the large rectangle is at (54, 49). Now use the distance formula to find the distance between those two points.

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(54 - 10)^2 + (49 - 16)^2} [/tex]

[tex] d = \sqrt{44^2 + 33^2} [/tex]

[tex] d = \sqrt{1936 + 1089} [/tex]

[tex] d = \sqrt{3025} [/tex]

[tex] d = 55 [/tex]

what two numbers have an absolute value of 21.63

Answers

The correct answer would be -21.63 and +21.63

There are 87.4 calories in one serving of cherries. How many calories are in 3.85 servings?

Answers

Answer:

336.49 calories.

Step-by-step explanation:

if;                      87.4 calories  = 1 serving of cherries

so;                  how much calories  =  3.85 serving of cherries

hence:

           3.85 seving * 87.4 calories / 1 serving

the answer is

               336.49 calories

Find two consecutive positive integers such that the sum of their squares is 841

Answers

Let x = 1st positive integer

Let x + 1 = 2nd positive integer

As give, their sum of squares is 841

[tex]x^{2}+(x+1)^{2}=841[/tex]

[tex]x^{2}+x^{2}+2x+1=841[/tex]

[tex]2x^{2}+2x+1=841[/tex]

[tex]2x^{2}+2x-840=0[/tex]

factor 2 out, [tex]x^{2}+x-420=0[/tex]

[tex]x^{2}+21x-20x-420=0[/tex]

[tex]x(x+21)-20(x+21)=0[/tex]

(x+21)(x-20)

This gives, x=20 and =-21 (neglect the negative value)

So, x = 20

x+1 = 21

So, the two numbers are : 20 and 21



Someone help please?

Answers

It get you too x-3 will give you 9 f(x) -9-3 gives you 43:76

Answer:

43:76  

Step-by-step explanation:


Kevin makes $78.37 per day. How much does he make in 7 days

Answers

Answer:

$ 548.59

Step-by-step explanation:

The complete solution is given in attachment below.

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