The values of the given numbers when it is rounded up to the nearest 10 thousands are:
990000150000What is rounding up in mathematics?Rounding up can be described as the process that is been used in the mathematics which is been used in the estimation of a particular number in a context.
It should be noted that in rounding the a number up, it is required to look at the next digit at the right hand of the given figures in a case whereby the digit is less than 5,the digit can be rounded down, but in the case whereby the digit is more that 5 then it can be rounded up .
From the given values, we are given the 990,201 and 159,994 and if this were to rounded up to the nearest 10 thousand then we will start from the right hand sides and round down the values less than 5 and round up the values that is more that 5. and their values will be 990000
and 150000.
Read more about rounding up at:
https://brainly.com/question/28324571
#SPJ1
please answer the question below .
The length of side EC of the △ECD is 12 meters if the length of AB of △ABC is 9 meters using the concept of similarity of triangles.
As per the question statement, we are given an image depicted as a lattice bridge where △ABC ∼ △ECD and the ratio of lengths of corresponding sides in △ABC and △ECD is 3:4
Length of AB is 9 meters and we are supposed to find the length of side EC of the △ECD.
As ratio of corresponding sides is 3:4 and △ABC ∼ △ECD (given)
AB : EC = 3 : 4
But AB = 9 meters (given)
9 /EC = 3/4
EC = 4*9/3
EC = 12 meters.
Hence, The length of side EC of the △ECD is 12 meters if the length of AB of △ABC is 9 meters using the concept of similarity of triangles.
Similar triangles: If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are items that feature more than two figures that are the same form but different sizes.
To learn more about similar triangles, click on the link given below:
https://brainly.com/question/25882965
#SPJ1
A submarine at -20 feet
descends 30 feet. What is the
submarine's current location
after the descent?
Answer:
The submarine will be at -50 feet after the descent.
Step-by-step explanation:
A submarine at -20 feet descends 30 feet. What is the submarine's current location after the descent?
If the starting point is -20 feet and it says that the submarine goes down another 30 feet we can write an equation and solve it.
Descending indicates going down or subtraction.
Let x=the current location after the descent.
-20+(-30)=x
-20-30=x
-50=x
The submarine will be at -50 feet after the descent.
Hope this helps :)
Here are the amounts of money (cents) in coins carried by 10 students in a statistics class: 50, 35, 0, 46, 86, 0, 5, 47, 23, 65. to make a stemplot of these data, you would use stems.
a. 0, 2, 3, 4, 6, 8
b. 0, 1, 2, 3, 4, 5, 6, 7, 8
c. 0, 3, 5, 6, 7
d. 00, 10, 20, 30, 40, 50, 60, 70, 80, 90
e. None of these
The stems are 0, 2, 3, 4, 5, 6, 8. Therefore option e, is the correct answer
Stem and leaf plot are used in statistics to organize data that are collected. Any number in a data is broken down into a stem and a leaf.
Stem displays data on the left while leaf displays data to the right
The data for the amounts of money (cents) in coins carried by 10 students in a statistics class: 50, 35, 0, 46, 86, 0, 5, 47, 23, 65 can be represented in the stem and leaf plot below:
2 I 3 ⇒ 2 on the stem and 3 on the leaf read as 23
3 I 5 ⇒ 3 on the stem and 5 on the leaf read as 35
4 I 6 ⇒ 4 on the stem and 6 on the leaf read as 46
4 I 7 ⇒ 4 on the stem and 7 on the leaf read as 47
5 I ⇒ 5 on the stem as 5
5 I 0 ⇒ 5 on the stem and 0 on the leaf read as 50
6 I 5 ⇒ 6 on the stem and 5 on the leaf read as 65
8 I 6 ⇒ 8 on the stem and 6 on the leaf read as 86
Hence, stems are 0, 2, 3, 4, 5, 6, 8
Therefore, option e, is the correct answer
To learn more about the stem plot visit:
https://brainly.com/question/24479281
#SPJ4
How do you determine how many significant digits should be in an answer?
Answer:
Look Down.
Step-by-step explanation:
The LEAST number of significant figures in any number of the problem determines the number of significant figures in the answer.
For what values of x is x² + 2x = 24 true?
-6 and -4
-4 and 6
4 and -6
6 and 4
The most appropriate choice for Quadratic equation will be given by -
Third option is correct
What is Quadratic equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A two degree equation is known as Quadratic equation.
Here,
[tex]x^2 +2x=24\\x^2+2x-24=0\\x^2+6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\[/tex]
[tex]x+ 6 = 0[/tex] or [tex]x - 4 = 0[/tex]
x = -6 or x = 4
Third option is correct
To learn more about Quadratic equation, refer to the link:
https://brainly.com/question/1214333
#SPJ9
If three consecutive term of an AP are x+4,2x+8 and 12. Find the value of x
Since the series is an Arithmetic progression, the difference between the consecutive terms is constant,
Therefore,
(2x+8) - (x+4) = 12 - (2x+8)
⇒ 2x + 8 - x - 4 = 12 - 2x - 8
⇒x + 4 = 4 - 2x
⇒ 3x = 0
⇒ x = 0
The value of x is 0,
So, the Arithmetic Progression is 4, 8, 12.......
What is an Arithmetic Progression?A numerical series in which the difference between the succeeding terms is constant is known as an arithmetic progression (AP). The number sequence 5, 7, 9, 11, 13, 15... is an example of an arithmetic progression with a common difference of 2.The term "finite arithmetic progression" or "arithmetic progression" refers to a finite segment of an arithmetic progression. An arithmetic series is the total of a finite arithmetic progression.There is a chance to come up with a formula for the nth term in an arithmetic progression. As an illustration, the number sequence 2, 6, 10, 14... is an example of an arithmetic progression (AP) since it follows a pattern in which each number is created by adding 4 to its preceding term. The nth word in this progression equals 4n-2.To learn more about Arithmetic Progression, refer to:
https://brainly.com/question/16947807
#SPJ13
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24 cards, which was 4% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
The most appropriate choice for percentage will be given by
Number of cards sold on mother's day = 600
What is percentage?
Percentage is any number which is expressed as a fraction of 100
In percentage,the denominator is 100
For example, 2% means [tex]\frac{2}{100}[/tex]
Here,
Let the number of cards sold for mother's day be x
A salesman sold 4% of the card sold for mother's day
Number of cards sold by the salesman = [tex]\frac{4}{100} \times x[/tex]
= [tex]\frac{x}{25}[/tex]
By the problem,
[tex]\frac{x}{25} = 24[/tex]
[tex]x = 24 \times 25\\[/tex]
[tex]x = 600[/tex]
Number of cards sold on mother's day = 600
To learn more about percentage, refer to the link:
https://brainly.com/question/24304697
#SPJ9
where would i plot 1.25 on a number line
Answer:
Quarter of a way through 1 and 2
Step-by-step explanation:
Quarter of a way through 1 and 2
Challenge An arts academy requires there to be 5 teachers for every 120 students and 3 tutors for every 36 students.
How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has
120 students?
The academy has students per teacher.
Answers:
24 students per teacher12 students per tutorThere needs to be 10 tutors if there are 120 students======================================================
Explanation:
Part 1
There are 5 teachers for every 120 students.
Think of it like this ratio
5 teachers: 120 students
Then divide both sides by 5 to turn the "5 teachers" into "1 teacher".
5 teachers: 120 students
5/5 teachers: 120/5 students
1 teacher: 24 students
There are 24 students per teacher
-------------------------
Part 2
There are 3 tutors for every 36 students
3 tutors: 36 students
3/3 tutors: 36/3 students
1 tutor: 12 students
There are 12 students per tutor
---------------------------
Part 3
The jump from 12 to 120 is "times 10"
We'll multiply 10 on both sides of the ratio we found in the previous part.
1 tutor: 12 students
10*(1 tutor) : 10*(12 students)
10 tutors : 120 students
-5(4x-3y-1) distributive property remove all parentheses
Distribute -5 to all terms inside the parenthesis.
-5(4x - 3y - 1)
-5(4x) + -5(-3y) + -5(-1)
-20x + -5(-3y) + -5(-1)
-20x + 15y + -5(-1)
-20x + 15y + 5
The ratio of the number of tomato plants in Inessa’s garden
to the number of tomato plants in Ralph’s garden was 5 : 6. After 1
2
of the tomato plants from Inessa’s garden were replanted into Ralph’s
garden, Ralph’s garden had 850 tomato plants. How many tomato plants
did Ralph’s garden have in the first place?
So in the first place, the 5:6 ratio of 12 tomato plants would be 2 tomato plants left over making ralph's plant # 840 in the first place.
when a number is added 4 the answer is the same as 19 minus 2. what is the number?
Answer:
.... the number is (13). 13+4=17 , and 19-2=17
Step-by-step explanation:
It takes 120 minutes to drive home at 60kmh
how long it will take to drive home at 120kmh
Answer: 240 mins
Step-by-step explanation:
lemons are sold in bags of 6 lemons for $4. if you bought 24 lemons, how much would you spend? write a ratio of 6 lemons to the cost of 6 lemons in $ and what is the unknown value you're looking for. (ik this is simple math its bc my head hurts and im doing it for my lil brother )
If you bought 24 lemons, you would have spent $16.
A ratio of 6 lemons to the cost of 6 lemons in $ is 3:2.
What is Ratio in Math?The relationship or comparison between two quantities of the same unit to determine how much larger one number is than the other is known as a ratio. The expression is expressed as a/b or a:b when b is not equal to 0.
Given:
Cost of 6 lemons in bag = $4
Cost of 24 lemons = (24 × 4)/6 = $16
The ratio of 6 lemons to the cost of 6 lemons in $ is 6:4 which can be reduced to 3:2.
Hence, the required ratio is 3:2.
To learn more about ratios visit:
https://brainly.com/question/13419413
#SPJ13
Find the distance between the points(5, 7) and (5, -4) . Pelas Help
Answer: 11
Step-by-step explanation:
Use distance formula: [tex]\sqrt{(x_1 - x_2)^2 + (y_2 - y_1)^2\\}[/tex]
5 - 5 = 0
7 - - 4 = 7 + 4 = 11
[tex]\sqrt{11^2} = 11[/tex]
What describes the graph of y = - |x + 1| - 5?
The graph of y = - |x + 1| - 5 will be like an inverted "V" letter, such that the vertex is on the point (-1, -5).
What describes the graph of the given function?
The general absolute value function can be written as:
y = |x - a| + b
This function looks like a "V", such that the vertex of the graph is located at the point (a, b).
Particularly, if we have a negative sign before the absolute value part, like in:
y = -|x - a| + b
The "V" will open downwards.
In this case, the function is:
y = - |x + 1| - 5
In this case, the vertex will be at (-1, 5).
And we can see a negative sign before the absolute value part, so the graph opens downwards.
That is the description of the graph.
Learn more about absolute value functions:
https://brainly.com/question/3381225
#SPJ1
Alang runs a farm stand that sells blueberries and grapes. Each pound of blueberries sells for $1 and each pound of grapes sells for $3.50. Alang sold 20 more pounds of grapes than pounds of blueberries and made $182.50 altogether. Write a system of equations that could be used to determine the number of pounds of blueberries sold and the number of pounds of grapes sold. Define the variables that you use to write the system.
By solving a system of equations we can see that Alang sold 25 pounds of blueberries and 45 pounds of grapes.
How to write and solve the system of equations?
Here we need to define the variables:
g = pounds of grapes bought.
b = pounds of blueberries bought.
We know that:
"Alang sold 20 more pounds of grapes than pounds of blueberries and made $182.50 altogether."
then we can write the system of equations:
g = b + 20
g*3.5 + b*1 = 182.50
To solve this, we can replace the first equation into the second one, so we get:
(b + 20)*3.5 + b*1 = 182.50
b*4.5 + 70 = 182.50
b*4.5 = 182.50 - 70
b*4.5 = 112.50
b = 112.50/4.5 = 25
And we know that:
g = b + 20 = 25 + 20 = 45
So he sold 25 pounds of blueberries and 45 pounds of grapes.
Learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
Find the first 5 multiples and all factors of 32
For the given question,
The provided number is 32.
The first 5 multiple of 32 = 2, 4, 8, 16 and 32.
Now, all factors of 32 = 2, 4, 8, 16 and 32.
Thus, the 5 multiples and the all factors of 32 are determined.
To know more about the multiples and factors, here
https://brainly.com/question/890395
#SPJ13
Discussion Topic
The equation y = kx represents a proportional relationship between x and y, where k is
the constant of proportionality. For a moving object, the equation d = st represents a
proportional relationship between distance (d) and speed (s) or between distance (a)
and time (1). Explain the different ways that you can define the constant of
proportionality for this equation. Then describe some other equations that represent
proportional relationships in the real world and explain why they're useful. Research on
the internet, if needed.
Proportional relationships in real world settings are given as follows:
Distance and time: d = st, velocity is the constant.Time and distance: one divided by the velocity is the constant.Velocity and distance: one divided by the time is the constant.What is a proportional relationship?A direct proportional relationship is modeled as follows:
y = kx.
In which:
y is the output variable.k is the constant of proportionality.x is the input variable.One example is the relation between distance, velocity and time, given as follows:
d = st.
In which the velocity is the constant.
This relationship can also be interpreted as proportional between distance and velocity, with time as constant.
Another format of this relationship is:
t = d/s
Which means that time and distance are proportional, which one divided by the velocity as the constant.
Velocity and distance can also be proportional, as follows:
s = d/t.
With one divided by the time as constant.
More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
Determine the instantaneous rate of change without using derivatives please
we have the function
[tex]f(x)=\frac{x}{x-2}[/tex]To find out the instantaneous rate of change without using derivatives, we need two points
For x=0
[tex]f(0)=\frac{0}{0-2}=0[/tex]The first point is (0,0)
For x=-1
[tex]f(-1)=\frac{-1}{-1-2}=\frac{1}{3}[/tex]The second point is (-1,1/3)
Find out the slope
[tex]\begin{gathered} m=\frac{\frac{1}{3}-0}{-1-0} \\ \\ m=-\frac{1}{3} \end{gathered}[/tex]therefore
The instantaneous rate of change is -0.33Verify the answer with the exact answer (with derivative)
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
7x
Step-by-step explanation:
x is something you find in 2 parts of the equation. Simply do 10-3 and add an x to the end
pushing a car 15 m using a force of 500 N
When pushing a car using a force of 500 N. The work done is 7500 Joule.
What is force?Force is a power that results in the motion of an object. It is calculated by newton. Distance is the measurement of two entities from one side to another side. It is calculated in meters and kilometers.
By multiplying the total force used, and the total distance traveled, the total work done may be calculated.
Given, the force is 500 N
Distance is 15 m
Total work done = force × distance
500 × 15 N = 7500 Joule
Hence, 7500 Joule work is done.
Therefore, the total work done is 7500 Joule.
To learn more about force, refer to the below link:
https://brainly.com/question/20335670
#SPJ1
The question is incomplete. Your most probably complete question is given below:
Pushing a car 15 m using a force of 500 N. How much work was done?
Find the standard deviation of this sample of times. ROUND YOUR ANSWER TO DECIMAL PLACES
The formula for calculating standard deviation of a sample is expressed as
Standard deviation = √Σ(x - mean)^2/(n - 1)
where
n = the number of samples = 5
Mean = (17 + 20 + 44 + 39 + 40)/5
Mean = 32
Σ(x - mean)^2 = (17 - 32)^2 + (20 - 32)^2 + (44 - 32)^2 + (39 - 32)^2 + (40 - 32)^2 = 626
n - 1 = 5 - 1 = 4
Standard deviation = √(626/4)
Standard deviation = 12.51
WILL MARK BRAINLIEST!!
Tom and Sam are running a 40 yard race. The graphs below show both runner’s distance, d, during the time, t, of the race. The horizontal axis represents time (in seconds) and the vertical axis represents the runner’s distance from the starting line.
Use the graph to identify the winner of the race. Explain how you came to your conclusion.
On the graph can see that Tom completes the race in less than 5 hours and Sam in more than 5 hours, so Tom wins.
Who wins the race?
Tom and sam are running a 40-yard race, so, the first one in run 40 yards wins.
Here we have two graphs, both are lines that relate distance and time. With them we can see that:
Tom reaches a distance of 40 miles in a little bit less than 5 hours.Sam reaches 40 miles in a little bit more than 5 hours.Then the one that takes less time to complete the race is Tom, and thus, Tom wins the race.
Learn more about graphs:
https://brainly.com/question/19040584
#SPJ1
F is a point on segment EG. If EF = 19, FG = x + 13, and EG = 6x + 14, what is EG?Simplify your answer and write it as a proper fraction, mixed number, or integer.
You have the segment EG and point F in it.
Point F separates the segment in two smaller ones EF and FG.
You can say that
EG= EF + FG
You have to replace the name of the segments with their values to get the equation:
[tex]6x+14=19+(x+13)[/tex]Now that you have a one unknown equation you can clear X
[tex]\begin{gathered} 6x=19+x+13-14 \\ 6x-x=\text{ 18} \\ 5x=18 \\ x=\frac{18}{5}=\text{ 3.6} \end{gathered}[/tex]The value of x is 3.6
Write down all whole numbers that are between 25 and 50 and have a difference of 4 their digits
whole numbers that are between 25 and 50 and have a difference of 4 are 26, 30, 34, 38, 42, 46.
What is rational number?
Rational numbers are those numbers which include natural numbers, whole numbers as well as integers. And it is written in the form of a/b where a and b are integers. Sometimes, the values of the denominator is one then the given number is not fraction.
Here,
The whole numbers that are between 25 and 50 and have a difference of 4 their digits will start from 26 and next number will be at the gap of 4 that is 30 and so no :
all whole numbers = 26, 30, 34, 38, 42, 46.
Therefore, whole numbers that are between 25 and 50 and have a difference of 4 are 26, 30, 34, 38, 42, 46.
To learn more about the rational number from the given link:
brainly.com/question/22221295
#SPJ2
The width of a rectangle is 4 units less than the length. The area of the rectangle is 12 units. What is the width, in units, of the rectangle?
The width of a rectangle is 4 units less than the length. The width, in units, of the rectangle is 2 units.
Represent the length and width by L and W.
Then W = L - 4.
The area of the rectangle is 12 units
= Length x width
= L x W
= L(L - 4)
=L^2 - 4L = 12
L^2 -4L - 12 = 0
Now on solving this quadratic equation we get
L^2 -4L - 12 = 0
L^2 - 6L + 2L -12 = 0
L(L - 6 ) -2(L - 6) = 0
(L-6)(L-2) = 0
This factors easily into
(L - 2)(L - 6) = 0
so L must be 2,6.
When L = 2
The width of the rectangle is W = L - 4 = 2 - 4 = -2 units.
We ignore the negative values.
when L= 6
The width of the rectangle is W = L - 4 = 6 - 4 = 2 units.
The width of a rectangle is 4 units less than the length. The width, in units, of the rectangle is 2 units.
To know more about area
https://brainly.com/question/27683633
#SPJ1
did you hear the story about the piece of butter? 3.2 puzzle
Answer:Never mind I don't want to spread it around
Step-by-step explanation:
lol
If someone could please help me on the first three that would be great!
( please only answer if you know the answer! )
Substitution Property of Equality - (2) You replace one expression with another equivalent expression.
Segment Addition Postulate - (10) Parts of line segment combine to form longer segments.
Triangle Sum Theorem - (4)The measure of three interior angles in a triangle have a sum of 180 degrees.
Reflexive Property - (8) An expression is equal to itself
Angle Addition Postulate - (6)The measure of an angle formed by two adjacent angles is the sum of the measures of the two angles.
Symmetric Property - (9) You switch expressions from one side of the equals symbol to the other.
Angle Congruence Postulate - (1) If two angles are congruent their measures are equal.
Segment Congruence Postulate - (7)Two segments are congruent so they have the same length.
Definition of Right Angle - (5) An angle is a right angle so its measure is 90 degrees.
Transitive Property - (3) a = c because a = b and b = c.
To learn more about properties visit:
https://brainly.com/question/1527538
#SPJ13
6) Hamal has a part-time job bagging groceries after school.
The equation y = 10x + 50 shows the relationship between
his hours of work (x) and the amount of money in his bank
account (y). How much is Hamal earning per hour? Explain how
you know.
The number of hours Hamal works is represented as x.
Since we need to find the amount Hamal is earning per hour (or in an hour), we replace x as 1 (for 1 hour)
Now, we get the equation : y = 10 x 1 + 50.
Since y represents the amount of money he earns, we need to find y when x = 1, or the equation above.
-> y = 60.
Therefore, Hamal earns 60 (dollars?) per hour.
