Solve 20/420 and remember to add the partial quotients to find the actual quotient.

Answers

Answer 1

Answer:

0.0476

Step-by-step explanation:

To solve 20/420,

We first reduce the numerator and denominator to its lowest terms(we are not using long division method) :

In the fraction 20/420, we cancel out the zeros =2/42

In the fraction 2/42, 2 will divide numerator and denominator so =1/21

To find the actual quotient, we are sure to get a result of decimal number since numerator is already smaller than denominator,

Therefore 1/21= 0.0476 to 4 decimal places

Note : we add zero to the numerator till it can be divided by 21(even with a remainder) hence the "0.0" before 4


Related Questions

A baker made 36 blueberry muffins on Monday. what percent of the total number of muffins were blueberry if the baker made 90 muffins?

_% of the total muffins were blueberry

Answers

Answer:

32%

Step-by-step explanation:

how many 2 1/2 inch-long steel stakes can Curtis cut from a piece of steel that is 25 inches long?​

Answers

10 or u could do 25 divided by 2.5 is 10

Evaluate the expression yz when x= 3, y=6 and z=12.

Answers

Answer: 72

Step-by-step explanation:

y=6, z=12

yz=6 x 12=72

what is the bill for 10 day rental b = 45.95d + 38.5

Answers

Answer:

b = 498

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

b = 45.95d + 38.5

d = 10 days

Step 2: Evaluate

Substitute:                    b = 45.95(10) + 38.5Multiply:                        b = 459.5 + 38.5Add:                              b = 498

Answer:

498 dollars

Step-by-step explanation:

So just plug in the 10 in the equation for D

45.95*10+38.5

Now just solve using order of operations

You would get 498

NEED ASAPPPP

The linear equation below describes the graph of a line.
4x – 3y = -12 Which of these is a point on the graph of the line?

Answers

Answer:

(-3,4)

Step-by-step explanation:

to solve for x, make y=0

to solve for y, make x=0

Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)

The points ​(4​,16​) and ​(−4​,−16​) are plotted on the coordinate plane using the equation y=a•x. How can you use the coordinates to find the value of​ a?

Answers

Answer: The graph of the linear equation is a set of points in the coordinate plane that all are ... If all variables represent real numbers one can graph the equation by plotting ... of values for x e.g. -2, -1, 0, 1 and 2 and calculate the corresponding y values

any more help just ask :)

(-2,6) and (1,-1) whats the slope

Answers

Answer:

7/-3

Step-by-step explanation:

6--1=7

-2-1=-3

Answer:

The slope is m=-7/3

m=y²-y¹/x²-x¹

m=(-1)-6/1-(-2)

m=-7/3

30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours daily?

Answers

Step-by-step explanation:

(30 men, 56 days, 6 hours daily)

=> (30 men, 48 days, 7 hours daily)

=> (45 men, 32 days, 7 hours daily)

Hence it will take 32 days.

PLEASE HELP!!! The population of a town was 780 in 1970. The population has been growing at a rate of 26% each year. What is the population of the town in the year 1995? Round your answer to the nearest whole number.

Answers

I could be wrong but I think it’s 787 (786.5 but rounded would be 787)

18. Write an equation in​ point-slope form of the line that passes through the given point and with the given slope m.
(-3,1);m=3

20. Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-3,-5);y=-2x+2

21. Write an equation in​ slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(0,0);y=-3x+2

Answers

Answer:

(-4,-2); y=4x+2

Step-by-step explanation:

Raj polled 100 students in his class to compare the number of hours that boys and girls played video games each week. The results of his survey are shown below. Which gender shows greater variability in their playing time?

Hours of Video Game Time per Week for Boys
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 9 to 17. A line divides the box at 14.5.

Hours of Video Game Time per Week for Girls
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 3 to 15. A line divides the box at 6.
Boys show greater variability because the 3rd quartile for boys is 17 but only 15 for girls.
Boys show greater variability because the median playing time for boys is 14.5 but only 6 for girls.
Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
Girls show greater variability because the data for the girls is skewed toward the lower end of the box plot.

Answers

Answer:

c is the correct answer i took the test

Step-by-step explanation:

The gender that shows greater variability in their playing time is C. Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

How to find the interquartile range?

For the males, the interquartile range will be:

= Third quartile - First quartile

= 17 - 9

= 8

For the females, the interquartile range will be:

= Third quartile - First quartile

= 15 - 3

= 12

Therefore, girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

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please help me !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

20

Step-by-step explanation:

15 is the mid so +5 is 20 thus 20 is the anser

A bag of rice weighs 20 kg more than one of sugar. If 50 kg of sugar is added to the second bag, its weight becomes twice that of the bag of rice. Find the weight of the bag of rice ​

Answers

The bag of rice is 30 kg and the bag of sugar is 10kg
30kg is 20kg more than 10kg
Then 10kg+50kg = 60kg
Which is twice the 30kg bad of rice

What is the slope of the following equation? 8x+3y=9

Answers

The slope is -8/3 :-) Hope this helps

Answer:

The answer is -8/3.

Step-by-step explanation:

First, you have to make y the subject :

8x + 3y = 9

3y = -8x + 9

y = (-8/3)x + 3

In a linear equation, y = mx + b, m represent gradient (slope). So in this equation the slope is -8/3.

Write the equation, in slope-intercept form, of the line that passes through (-2,0) and is parallel to the line represented by 5x-3y=-17 .

Answers

Answer:

[tex]y=\frac{5}{3}x+\frac{10}{3}[/tex]

Step-by-step explanation:

Firstly we rewrite the equation that is parallel to the line we need because parallel lines have the same slope by the rule

[tex]m_1=m_2[/tex]

so we rewrite the equation in slope-intercept form:

[tex]5x-3y=17\\-3y=-5x+17\\y=\frac{-5x+17}{-3}\\\\y=\frac{-5x}{-3}+\frac{17}{-3} \\\\y=\frac{5}{3}x-\frac{17}{3}[/tex]

and now we compare it with our slope-intercept form equation:

[tex]y=mx+b[/tex]

the coefficient of x which is m is the slope and since parallel lines have equal slopes the line that we need would also have the same slope which is 5/3.

now the next step is the line that we need passes through the point (-2,0) so it means that it should satisfy that specific point so we insert that point into our slope-intercept form and insert the slope which is 5/3 which is m.

[tex]y=mx+b\\y=\frac{5}{3}x+b\\\\0=\frac{5}{3}(-2)+b\\\\0=\frac{-10}{3}+b\\\\b=\frac{10}{3}\\[/tex]

now we know that the y-intercept(b) of the line we need is 10/3 and slope(m) is 5/3 insert these values into our slope-intercept form:

[tex]y=mx+b\\y=\frac{5}{3}x+\frac{10}{3} \\[/tex]

so this is our given line.

1. Which of the following is a solution to the
equation - 2/5x = 10?
a. X = -4
b. X = -25
c. X= 4
d. X = 25

Answers

B. -25
The answer to X has to be negative. Since -2/5 is negative and we’re trying to get to 10, we need another negative to cancel out the negative into a positive. Multiply -2/5 by X (-25) so it’s -2/5 x -25/1. Negative times negative is positive. 2 x 25 is 50. 5 x 1 is 5. 50/5 is 10.

Kayla won 37 super bouncy balls
playing hoops at her school's game night
Later, she gave two to each
of her friends. She only has 7
remaining. How many friends does she have?

Answers

Answer:

15 friends

Step-by-step explanation:

37 - 7=30 so then you divide 30 by 2 which equals 15 so there is your answer.

Please answer this there is a link to the photo

Answers

Answer:

588

Step-by-step explanation:

In a factor tree, I mostly like to look from down to up so that I can track down the non-square number. In a square number, there must be two factors that are exactly the same as each other, and when multiplied gives that square number.

So based on the 5 × 5, 2 × 2, and 7 × 7, we can tell that 25, 4 and 49 are all square numbers. We move up one level. Since the factors of 196 are square numbers, 196 is also a square number since it consists of 2² × 7².

We move another step up. 588 consists of 3 and 196. We know that 196 is a square number, but 3 is a prime number, which means that 3 only has a factor of 3 and itself. Thus, 588 is not a perfect square number since there should be a double factor for 3.

I need help with this question in Geometry.

Answers

Answer:

846 in

Step-by-step explanation:

48*15+21*6

720+126=846

Answer:

846 square inches.

Step-by-step explanation:

All you have to do is find the area of the net for the seat back.

Bottom and Top

L = 21 + 3 + 21 + 3   = 48

W = 15

Area

Area = L * w

Area = 48 * 15

Area =                                                       720

Area of the 2 sides .

L = 21

w = 3

Area =2 * L * w    There are 2 of them

Area = 21*3 * 2                                         126

Total                                                         846  

A cylindrical tank has a radius of 5.5 ft and an altitude of 16 ft. If a gallon of paint will cover 130ft^2 of​ surface, how much paint is needed to put two coats of paint on the entire surface of the​ tank?

Answers

Answer:

Approximately 11 gallons of paint

Step-by-step explanation:

First we need to calculate the Total surface area of the cylindrical tank as shown;

TSA of the tank = 2πr² + 2πrh  

TSA of the tank = 2πr(r+ h)  where;

r is the radius of the tank

h is the height

Given

radius = 5.5ft

height = 16ft

Get the surface area;

TSA = 2π(5.5)(5.5+ 16)

TSA = 2π(5.5)(21.5)

TSA = 2π(118.25)

TSA = 2(3.14)(118.25)

TSA = 742.61ft²

If a gallon of paint will cover 130ft^2 of​ surface, then the total number of paint needed will be;

Total number of paint needed = 742.61/130

Total number of paint needed = 5.7

For one coat we will need 5.7gallons of paint

For two coats we will need 2 * 5.7gallons = 11.4

Hence approximately 11 gallons of paints will be needed for the two coats

in ACE, G is the centroid and BE = 9. find BG and GE ​

Answers

Answer:

b-g is 3

g-e is 6

Step-by-step explanation:

good luck, have a good day, can i get brainliest

GE = 6 and BG = 3

What is centroid?

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

Given that, G is the centroid and BE = 9

The centroid point G divides the segment BE in the ratio 2:1, such that GE is twice the length of BE,

BG = 1/3*BE

BG = 1/3*9 = 3

And,

GE = 2/3*9 = 6

Hence, GE = 6 and BG = 3

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y+1=5(x−9) is it linear or non-linear?

Answers

Answer:

yes its linear

Step-by-step explanation:

I'LL MARK BRANLIST. A box contains 3 plain pencils and 3 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction in simplest form.

Answers

Answer:

First Box: 3/6 --- 1/2

Second Box: 3/10

What is the slope of the line passing through the point 2 comma negative 1 and the origin?

Answers

Answer:

- 1/2 or - 1.5

Step-by-step explanation:

I would suggest using a table

x       y

2      -1

0      0

from -1 to 0, you add 1

from 2 to 0, u subtract 2

so y/x

1/-2

Your slope will be -1/2 or -1.5

Hope this helped!

Answer:

-1/2

Step-by-step explanation:

3/4 divided by 1/5


HELPPP

Answers

Answer:

3.75

Step-by-step explanation:

3/80 as a fraction maybe

3 3/4 as a mixed fraction

How would i know if a line on a graph has passed the vertical line test?

Answers

Answer:

The vertical line will only pass the graph line once.

Step-by-step explanation:

For example, I found an example online. The vertical line intersects a circle twice. But on a horizontal squiggly line, it only touches it once. So the circle is NOT a function but the squiggly line IS a function.

Hope this helps!! Brainiest is appreciated!! Happy Holidays!!!!


To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

ASAP The grocery store sells fish for $8.50 a pound and hamburger for $3.00 a pound. Write an equation in
standard form for the weights of fish fand hamburger h that a customer could buy with $24.

Answers

Answer:

8.50f + 3.00h = 24

Step-by-step explanation:

Select all of the following that are quadratic equations.


1. x2 + 3 x -5 = 0
2. x2 - x = 3 x + 7
3. 5 x - 7 = 0
4. 7 x2 + 14 x = 0
5. x3 - 3 x2 + 1 = 0
6. x - 5 = 9 x + 7

Answers

Answer:

1. x² + 3x - 5 = 0

2. x² - x = 3 x + 7

4. 7x² + 14x = 0

Step-by-step explanation:

A Quadratic equation takes the form;

ax² + bx + c = 0

a, b, c are constants and a cannot be 0.

Options 1 fits this;

x² + 3x - 5 = 0

Option 2 fits this as well;

x² - x = 3 x + 7  

x² -x - 3x - 7 = 0

x² - 4x - 7 = 0

Option 4 fits this as well if c = 0.

7x² + 14x + 0 = 0

Find the slope of the graph​

Answers

Answer:Pick two points on the line and determine their coordinates.

Determine the difference in y-coordinates of these two points (rise).

Determine the difference in x-coordinates for these two points (run).

Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Step-by-step explanation:

WAIT i think we’re doing the same assignment

| 5t-1 |=6

Show all work

Answers

Answer:

t = 1.4

Step-by-step explanation:

If you multiply 5 and 1.4 together, you get 7. Then, you do 7 - 1, and you get 6.

The inverse operation symbol things don't matter if the answer you get inside the two vertical bars is positive.

Answer: t=1

Step-by-step explanation:

|5t-1 |=6

5t+1=6

5t=5

t=1

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