The magnitude of each part, after dividing, will be equivalent to 27.9.
What is an expression? What is a expression? What is a mathematical equation? A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given is to divide 418.50 between 15.
We have to divide 418.50 between 15. If we have to divide 418.50 into 15 equal parts, then we can write -
15x = 418.50
x = 418.50/15
x = 27.9
Therefore, after dividing, each part will be equivalent to 27.9.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ1
[ Question in english -
418.50 between 15
Explanation]
Richard found 93 - 67 by adding up on the open number line. Is he correct? Explain. Then write an addition equation to show how you could check his work
The addition equation is 93 - 67 = 26 in the number line.
What is number line?
A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). These numbers to the left of zero are all negative while the numbers just on right of zero are all positive. As a result, we can argue that on a number line, the value of numbers grows as we approach the right. The numbers on the right are therefore larger than the ones on the left, according to this statement.
The entire question is depicted in the picture that is attached.
Richard added 26 to 67 by first marking point 67 on the line, then adding 2 tens and 2 threes until he reached 93 as opposed to subtracting 67 to 93 by subtracting 6 tens and 7 ones starting at point 93, which results in 26.
Take note that 26 is equal to 10 plus 10 plus three additional times.
To verify his work, we add the following: 67 + 26 = 93, which is also written as 93 - 67 = 26.
Hence the addition equation is 93 - 67 = 26.
Learn more about number line, by the following link
https://brainly.com/question/12399107
#SPJ1
If i² = -1, then (i)(1 + 2)(2-3i)² = ?
Answer:
[tex]36-15i[/tex]
Step-by-step explanation:
[tex](i)(1+2)(2-3i)^2 \\ \\ =3i(2-3i)^2 \\ \\ =3i(9i^2 + 4 -12i) \\ \\ =3i(-9+4-12i) \\ \\ =3i(-5-12i) \\ \\ =-15i-36i^2 \\ \\ =36-15i[/tex]
Use 3.14 for the value of pie , and round your answers to two decimal places, where applicable. If the radius of a circle is 3 cm, what is its circumference?
Answer:
18.85
Step-by-step explanation:
C=2πr
2(pi)3=18.85
ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)?
The equation of a parabola with a directrix at y = −3 and a focus at (5, 3) is y=1/12(x - 5)² .
What is Parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
Given that the directrix of parabola is at y=-3.
Focus at (5, 3)
parabola with equation (x - h)² = 4p(y - k)
p = 3 because the distance from the focus to the directrix is 6 and p = 6/2.
The vertex (5, 0)
Substitute h as 5 and k as 0.
(x - 5)² = 4(3)(y - 0)
(x - 5)² = 12y
Divide both sides by 12
y=1/12(x - 5)²
Hence, the equation of a parabola with a directrix at y = −3 and a focus at (5, 3) is y=1/12(x - 5)² .
To learn more on Parabola click:
https://brainly.com/question/21685473
#SPJ1
Solve the equation n/(200 - n) = 3/5
The value of n after solving the given equation comes to 75.
What are equations?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation.
A variable, coefficients, and constants make up an algebraic equation in most cases.
So, we have the equation:
n/(200 - n) = 3/5
Now, solve for x as follows:
n/(200 - n) = 3/5
5n = 600 - 3n
8n = 600
n = 600/8
n = 75
Therefore, the value of n after solving the given equation comes to 75.
Know more about equations here:
https://brainly.com/question/28937794
#SPJ1
A cistern can be completely drained by a pipe It in 6 hours. It can be filled by two pipes in 4 hours and 5 hours.
respectively. How many hours will the empty cistern take to fill if all the pipes are running?
If x iS the time to fill it, which of the following equations could be used to solve for t?
© 4x + 5x - 6x = 1
) 15x + 12x - 10x = 60
O 4x + 5x = 20
NEXT QUESTION
ASK FOR
search
Rain off and
Therefore , it will take 1.71 hours to fill the empty cistern if all the pipes are running.
What is equation?equation: a statement that two expressions having variable- and/or number-filled expressions are equivalent. Since equations are essentially questions, the search for a way to respond to them has spurred the development of mathematics.
Here,
Let's assume that the pipelines in this instance are "a" to drain the water in 6 hours, "b" to fill the water on its own in 4 hours, and "c" to fill the water in 5 hours.
Therefore, if "a" can empty it in 6 hours, it has only completed 1/6 of the task in that time. In 6 hours, "a" would have completed 6/6 or 1 whole, the entire task, and the cistern would have been fully filled, but in 1 hour, it has only accomplished 1/6 of that.
In an hour, "b" has completed barely a quarter of the task.
In that case, "c" has only completed 1/5 of the task in an hour.
Now, assuming it took "x" hours, if "a," "b," and "c" are running, and "a" is draining while b & c filling it up.
The cistern must be filled in "x" hours, thus after 1 hour, all three have completed only 1/x of the task.
well, let's add their rates, to see what we get then.
=> 1/4 + 1/5 -1/6= 1/x
=> 15 + 20 - 10 / 60 = 1/x
=>35/60 =1/x
=> x=60/35
=>1.71 hours
Therefore , it will take 1.71 hours to fill the empty cistern if all the pipes are running.
To know more about equation , visit
https://brainly.com/question/10413253
#SPJ1
Here are ten numbers:
3 & 7 & 2 & 4 & 7 & 5 & 7 & 1 & 8 & 8
a) Write down the mode.
b) Work out the median.
c) Calculate the mean.
d) What is the range?
a) The mode of the data set is 7
b) The median of the data set is 6
c) The mean of the data set is 5.2
d) The range of the data set is 7.
Given,
Ten numbered data set; 3 & 7 & 2 & 4 & 7 & 5 & 7 & 1 & 8 & 8
We have to find the following;
a) Mode;-
Mode is the number that occurs the highest number of times.
Here,
7 is the most repeating number.
b) Median;-
Finding the middle number requires sorting all the data points and choosing the center one (or if there are two middle numbers, taking the mean of those two numbers).
Here,
5 and 7 are in the middle.
So, Median = 5 + 7 = 12/2 = 6
c) Mean;-
A dataset's mean is calculated by dividing the total number of values by the sum of all the values.
Here,
Mean = 3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8 / 10 = 52/10 = 5.2
d) Range;-
The difference between a collection of numbers' highest and lowest values is known as the range. Subtract the distribution's lowest number from its greatest number to determine it.
Here,
Lowest number = 1
Highest number = 8
Range = 8 - 1 = 7
Therefore,
a) Mode = 7
b) Median = 6
c) Mean = 5.2
d) Range = 7
Learn more about mean, mode, median and range here;
https://brainly.com/question/15444532
#SPJ4
What is the y-intercept of the line y=-2/3 x ?
a. -2/3
c. 1
b. 0
d. 3/2
D
A
C
B
Answer:
a
Step-by-step explanation: becasue i said so
Answer:
d) B => b. 0
Step-by-step explanation:
Now we have to,
→ find the y-intercept of the line.
Formula we use,
→ y = mx + b
→ b = y-intercept
Then the y-intercept is,
→ y = mx + b
→ y = (-2/3)x + 0
→ [ b = 0 ]
Hence, the y-intercept is 0.
2. Minji bought 4 necklaces, each
costing $9.00. Then,
She started with $60.00. How
much does she have now?
Answer:$24
Step-by-step explanation: if she started with $60 and she bought 4 neckless with the cost of each $9 we get so $9x4 is 36
$60-$36=24
$24
The following are the dimensions of each room in a house:
Living room = 20 ft x 15 ft Kitchen = 12 ft x 10 ft
Bedroom 1 = 12 ft x 12 ft Bedroom 2 = 12 ft x 10 ft
Bathroom = 8ft x 12 ft
What is the total square footage of the house?
The total square footage of the house is 3776 square feet.
What is dimension?
A database of research grants called Dimensions connects funding to publications, clinical trials, and patents as well as other outcomes. Dimensions is a part of the technology firm Digital Science, which has its global headquarters in London, United Kingdom.
Given:
The dimensions of each room are,
Living room = 20 ft x 15 ft
Kitchen = 12 ft x 10 ft
Bedroom 1 = 12 ft x 12 ft
Bedroom 2 = 12 ft x 10 ft
Bathroom = 8ft x 12 ft
So, the total square footage is,
(20 + 12 + 12 + 12 + 8) ft x (15 + 10 + 12 + 10 + 12) ft = 64 ft x 59 ft = 3776 square feet.
Hence, the total square footage of the house is 3776 square feet.
To know more about dimensions, click on the link
https://brainly.com/question/26740257
#SPJ1
Annual cost of insurance: $4,160. Employer pays 80 percent. 52 pay periods. Find the deduction per pay period.
keeps a farmer keeps cows in an enclosed rectangular pasture with the length of 2.2 * 10 ^ 2 ft and a width of 3.1 * 10 ^ 3 ft what is the area of the rectangular pasture
Answer:
6.82 × 10⁵ ft²-------------------------------
Use dimensions of the rectangle to find its area:
A = lwA = 2.2 × 10² × 3.1 × 10³ = (2.2×3.1) × 10²⁺³ = 6.82 × 10⁵ ft²6 multiply by 3 subtract 2 divide by 4 add 7
Answer:
11
Step-by-step explanation:
6x3
=18
-2
=16
divided by 4
=4
+7
=11
Answer:13.5
Step-by-step explanation:
6x3-2/4+7
First multiply 6 and 3. Then divide 2 and 4.
18-0.5+7
Then subtract 0.5 from 18 and add 7
18-0.5= 16.5
16.5+7= 13.5
need assistance please
The range is $53000
About 30 graduates made $25,00050% earn above $33,00025% of the graduates earn above $25,000The range of the starting salariesThe box and whisker plot represents the given parameter
From the plot, we have the following representations:
Least salary = 19,000
Highest salary = 72,000
The range is calculated as
Range = Highest salary - Least salary
Substitute the known values in the above equation, so, we have the following representation
Range = 72000 - 19000
Evaluate
Range = 53000
Amount made by about 30 graduatesWe have
Total graduates = 120
30 out of 120 is 1/4
This means that
30 graduates = Lower quartile
From the plot, we have
Lower quartile = 25,000
This means that
30 graduates = 25,000
Graduates with salary of above $33000The salary of $33000 is at the median position
This means that
50% earn above $33,000
25% of the graduates25% represents the lower quartile
From the plot, we have
Lower quartile = 25,000
This means that
25% of the graduates earn above $25,000
Read more about box and whisker at
https://brainly.com/question/3473797
#SPJ1
What is the relationship between 5 and 20
20 is is equal to 5 multiplied by 4.
5 is equal to 20 divided by 4
A worker is filling out his timesheet. He worked 8 hours on Monday, 7 hours and 30 minutes on Tuesday, 8¾ hours on Wednesday, 4 hours on Thursday, and 8¼ hours on Friday. If he earns $14.35 per hour, what will be his gross pay for this week? (Enter numeric value only. Round your answer to the nearest penny.)
The gross pay of worker this week is $432.325
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Number of money made in one hour = $ 14.35
Number of hours, worked on Monday = 8 hours
Number of hours, worked on Tuesday = 1/2 hours
Number of hours, worked on Wednesday = 8¾ hours
Number of hours, worked on Thursday = 4 hours
Number of hours, worked on Friday = 8¼ hours
Total number of worked = 4 + 8 + 8¼ + 8¾ + 1/2
= 29.5
Total gross pay = 14.35 × 29.5
= $432.325
Thus, The answer is $432.325
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ1
Grade 7 Envision math volume 1
Answer:
The table of contents for Envision Math Volume 1 includes the following topics:
1. Whole Number Operations
2. Decimals
3. Fractions and Mixed Numbers
4. Algebraic Thinking
5. Geometry
6. Measurement
7. Data Analysis and Probability
8. Integers
9. Ratios and Proportional Relationships
10. Expressions and Equations
11. Geometric Measurement and Transformations
12. Statistics and Probability
Which matrix equation can be used to solve the system? {(2x+3y=4),(x+y=7):}
Use matrices created using the coefficients of the unknowns and their related determinants to apply Cramer's rule.
How should a matrix equation be written?Three easy actions must be taken in order to describe this system as a matrix:
First, create a matrix with all the coefficients. An acronym for this is a coefficient matrix.
Multiply this matrix by the system setup's variables in another matrix.
In another matrix, place the solutions on the other side of the equal sign.
A = [[2, 3], [1, 1]]
A_{x} = [[3, 4], [1, 7]] d
A{y} = [[2, 4], [1, 7]]
det (A) = 2-3=-1
det (Ax) = 14 - 4 =10
Delta_{y} = [[2, 4], [1, 7]] det (A7), 22-2012
x = (det (Ax))/(det (A)) = 10
det (Ay) = 14 - 4 =10
To learn more about matrix refer to:
https://brainly.com/question/27929071
#SPJ1
Bob has 42 cookies and he wants to give all his cookies away to each of his six friends if he gives each friend the same amount he concludes each friend will receive 42÷6 = 8 cookies identify the error in Bob’s conclusion 
Bob divided incorrectly, 42÷6 = 7 is correct.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that the Bob has 42 cookies and he wants to give all his cookies away to each of his six friends.
Which means Bob has to split 42 cookies among his 6 friends equally.
He gives each friend the same amount he concludes each friend will receive 42÷6 = 8 cookies.
Bob is incorrect if we split 42 cookies to six friends, then each friend will get 7 cookies not 8 cookies.
Hence, Bob divided incorrectly, 42÷6 = 7 is correct.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ1
find the ninth power of 10. Write it as repeated multiplication, with an exponent, and as a whole number.
The value of the expression 10⁹ by the repeated multiplication will be 1,000,000,000.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 10⁹
The value of the expression by the repeated multiplication will be given as,
⇒ 10⁹
⇒ 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
⇒ 1,000,000,000
The value of the expression 10⁹ by the repeated multiplication will be 1,000,000,000.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
Given a rectangle with an area of 40 x 6y9z and a side of 10 x ³y ³, find
the length of the other side.
The length of the other side is 4x⁻².6y⁻².9z .
How to calculate area of rectangle ?
The area of a rectangle is equal to its length times its width. Follow the steps mentioned below to find the area of a rectangle:
Step 1: Note the dimensions of length and breadth from the given data.
Step 2: Find the product of length and breadth values.
Step 3: Give the answer in square units.
Given :
Area = 40x.6y.9z
length of one side = 10 x ³y ³
∵Area of rectangle = length ˣ breadth
∴ 40x.6y.9z = 10 x ³y ³ × length of other side
length of other side = [tex]\frac{40x.6y.9z}{10 x^{3} y^{3} } = 4x^{-2} . 6y^{-2} . 9z[/tex]
Hence , the length of the other side is 4x⁻².6y⁻².9z .
Learn more about area of a rectangle at:
https://brainly.com/question/25292087
#SPJ1
A shopkeeper buys 50 pencils for 80 rupees and sells them at 40 pencils for 90find his gain or loss percent
please help me! Help me solve this problem. The first three terms of an arithmetic sequence are 9, 16, and 23. Which of the following would be this sequences 20th term?
Answer:
142
Step-by-step explanation:
Definition: an = a1 + f × (n-1)
Sequence: 9, 16, 23, 30, 37, 44, 51, 58, 65 ...
Common Difference: +7
The sum of all numbers up through the 20th: 1510
20th value: 142
Hope this helps! :)
please help! Big Points here! I really need the help!
Answer:
13.3
Step-by-step explanation:
7/200=x/380
cross multiply
7(380)=200x
2660=200x
/200 /200
13.3=x
hopes this helps please mark brainliest
Dascha is making a decorative table to
sell at a fair. The cost of her materials is
$80. If the table sells for $150, what is
the percent of markup?
The required percent markup is 87.5%.
Here,
The markup is the difference between the selling price and the cost price, expressed as a percentage of the cost price.
Markup = ((Selling price - Cost price) / Cost price) x 100%
In this case, the cost of materials is $80 and the selling price is $150, so the markup is:
Markup = ((150 - 80) / 80) x 100%
Markup = (70 / 80) x 100%
Markup = 0.875 x 100%
Markup = 87.5%
Therefore, the percent markup is 87.5%.
Learn more about percentages here;
https://brainly.com/question/29306119
#SPJ1
The solutions of the quadratic equation
x²-x-12=0
Answer:
[tex]x=-3, 4[/tex]
Step-by-step explanation:
[tex]x^2-x-12=0 \\ \\ (x-4)(x+3)=0 \\ \\ x=-3, 4[/tex]
What is an equation of the line that passes through the point (-3,-1) and is perpendicular to the line 6x−2y=6?
Answer:
write the given equation in a standard form
6x - 2y = 6
-2y = -6x + 6
y = 3x - 3
m = 3
if the lines are perpendicular to each other the product of their gradient is equal to -1
m1 × m2 = -1
3 × m = -1
3m = -1
m = -1/3
y - y1 = m(x - x1 )
y - (-1) = -1/3 ( x - (-3) )
y + 1 = -1/3 (x + 3 )
y + 1 = -1/3x - 1
y = -1/3x - 1 + 1
y = -1/3x
can someone help me solve this step by step? I am very confused
To solve this problem, we need to use the basic trigonometric identities, which state that for any angle x:
sin^2(x) + cos^2(x) = 1
1 + tan^2(x) = sec^2(x)
1 + cot^2(x) = csc^2(x)
We can use these identities to simplify the expression (sin0 + cos0) = 2 + sec0 csc0/Sec0 CSC0. First, we note that sin0 + cos0 = 1, because sin^2(0) + cos^2(0) = 1. So, the left-hand side of the equation becomes 1 = 2 + sec0 csc0/Sec0 CSC0.
Next, we note that sec0 = 1/cos0 and csc0 = 1/sin0, so we can rewrite the right-hand side of the equation as 1 = 2 + 1/cos0 * 1/sin0 / Sec0 CSC0.
Then, we note that Sec0 = 1/cos0 and CSC0 = 1/sin0, so the right-hand side of the equation becomes 1 = 2 + 1/cos0 * 1/sin0 / 1/cos0 * 1/sin0. This simplifies to 1 = 2 + 1/cos0^2 * 1/sin0^2, which simplifies further to 1 = 2 + 1/cos0^2 / sin0^2.
Finally, we use the identity 1 + cot^2(0) = csc^2(0) to replace 1/sin0^2 with 1 + 1/cos0^2, which gives us 1 = 2 + 1/cos0^2 / (1 + 1/cos0^2). Solving for 1/cos0^2, we get 1/cos0^2 = -1. This means that cos0 = 0, which is not a valid value for the cosine function. Therefore, the original equation has no solution.
Complete the linear equation in slope-intercept from with the slope -8 and the y-intercept (0,10)
y=______x+______
Answer:
y = -8x + 10.
Step-by-step explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -8 and the y-intercept is (0, 10), so the equation is y = -8x + 10.