With the decimal point in the proper place, dividing decimals is equivalent to dividing entire numbers.
How to Divide Decimals?While dividing decimals, we must remember to place the decimal point correctly in the quotient. This is similar to how we divide whole numbers. The decimal point, which separates a decimal number's whole number and fractional parts, is a dot. A value less than 1 can be found in the digits following the decimal point. 24 is a good example. A decimal number, 15, has a fractional component of 15 and a whole number component of 24. There are two situations in which dividing decimal numbers might occur: the first calls for dividing decimals by whole numbers, and the second requires dividing decimals by decimals.To Learn more About dividing decimals refer To:
https://brainly.com/question/11786124
#SPJ1
-10-9-8-7 -6 -5 -4 -3
-2.1
0
1 2 3 4 5
6
7 8 9 10
3) Which inequality matches the graph?
A) X > .2
B) X <-2
C) x = -2
D) 3.2
Answer:
I think its D
Step-by-step explanation:
The dot starts on -2 and decreases so the answer would = -2 or be less than -2 :)
The top of a desk would be a representation ofO a pointO a planeO a lineO none of the above
Given
The top of a desk.
To find:
The top of a desk is a representation of _____.
Explanation:
It is given that,
The top of a desk.
That implies,
Since,
The plane is a flat surface that extends infinitely in all directions.
Then, the top of a desk represents a plane.
Answer:
B-Plane tep-by-step explanation:
A bucket contains stones and seashells. There are 40 seashells in the bucket and the ratio of stones to seashells is 7 : 4. Find the number of stones in the bucket.
Answer:
70 stones
Step-by-step explanation:
since there are 40 seashells represented by 4 in the ratio
you can do 7 times 10 and that equals 70.
In ΔVWX, x = 6.4 inches, w = 8.8 inches and ∠W=85°. Find all possible values of ∠X, to the nearest 10th of a degree.
If kis an explanatory variable and /is the corresponding response variable,which of these would be represented by the horizontal axis on a scatterplot?Ο Α. kB. Both kand/C. Neither knor /D.
Answer: A. k
Explanation:
The explanatory variable is a type of independent variable. The explanatory variable explains changes in the response variable. Thus, the response variable is dependent on it. Normally, independent variables are plotted on the horizontal axis. In that case, the response variable would be plotted on the vertical axis.
In this scenario, k is the explanatory variable and i is the corresponding response variable. Thus, the correct option is
A. k
A toy car can go 3 mph. How long would it take to go 10 miles?
Answer:
2 2/3 hours
Step-by-step explanation:
if the car can go 3 miles per hour that means it can go 10 miles in 2 2/3
It takes to go 10 miles 2 2/3 hours.
We have given that,
A toy car can go 3 mph.
We have to determine, How long would it take to go 10 miles.
What are the miles?
A mile is a unit of distance equal to 1760 yards or approximately 1.6 kilometers. Meaning, pronunciation, translations, and examples.
If the car can go 3 miles per hour that means it can go 10 miles in 2 2/3.
To learn more about miles visit:
https://brainly.com/question/1127371
#SPJ2
Given that (3,-1) is on the graph of f(x), find the corresponding point for the function f(3x)
Answer:
(1, -1)
Step-by-step explanation:
You have the point ...
(3, f(3)) = (3, -1)
The corresponding point on the horizontally compressed graph will be ...
(3x, f(3x)) = (3, -1)
(x, f(3x)) = (1, -1) . . . . . the first coordinate of the given point is divided by 3
A construction company will be penalized each day of delay in construction for bridge. The penalty will be $4000 for the first day and will increase by $10000 for each following day. Based on its budget, the company can afford to pay a maximum of $ 165000 toward penalty. Find the maximum number of days by which the completion of work can be delayed.
Answer:
The answer toy our problem is, The maximum number of days by which the completion of work can be delayed is 15.
Step-by-step explanation:
We are given that the penalty amount paid by the construction company from the first day as sequence, 4000, 5000, 6000, ‘ and so on ‘. The company can pay 165000 as penalty for this delay at maximum that is
\(S_{n}\) = 165000.
Let us find the amount as arithmetic series as follows:
4000 + 5000 + 6000
The arithmetic series being, first term is \(a_{1}\) = 4000, second term is \(a_{2}\) = 5000.
We would have to find our common difference ‘ d ‘ by subtracting the first term from the second term as shown below:
\(d = a_{2} - a_{1} = 5000 - 4000 = 1000\)
The sum of the arithmetic series with our first term ‘ a ‘ which the common difference being, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) ( ‘ d ‘ being the difference. )
Next we can substitute a = 4000, d = 1000 and \(S_{n}\) = 165000 in “ \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) “ which can be represented as:
Determining, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\)
⇒ 165000 = \(\frac{n}{2}\) [( 2 x 4000 ) + ( n - 1 ) 1000 ]
⇒ 2 x 165000 = n(8000 + 1000n - 1000 )
⇒ 330000 = n(7000 + 1000n)
⇒ 330000 = 7000n + \(1000n^2\)
⇒ \(1000n^2\) + 7000n - 330000 = 0
⇒ \(1000n^2\) ( \(n^2\) + 7n - 330 ) = 0
⇒ \(n^2\) + 7n - 330 = 0
⇒ \(n^2\) + 22n - 15n - 330 = 0
⇒ n( n + 22 ) - 15 ( n + 22 ) = 0
⇒ ( n + 22 )( n - 15 ) = 0
⇒ n = -22, n = 15
We need to ‘ forget ‘ the negative value of ‘ n ‘ which will represent number of days delayed, therefore, we get n=15.
Thus the answer to your problem is, The maximum number of days by which the completion of work can be delayed is 15.
what is 187.023 in word form?one hundred eighty seven and twenty three hundreths?
187,023 in word form is One hundred eighty-seven and twenty-three thousandths, since
187 is one hundred eighty seven. But you have a thousand unit, so we finally have
One hundred eighty-seven and twenty-three thousandths
Answer:One hundred eighty-seven and twenty-three thousandths
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Solve this Question and Write the method how to find LCM.
Answer:
8a²b
Step-by-step explanation:
Least common multiple: The smallest number that is a multiple of two or more numbers
As 2a² has a² and 8ab has b, then the least common multiple will include a²b.
8 is a multiple of 2
Therefore, the LCM is 8a²b
XZ is the perpendicular bisector of segment WY. Solve for m. Enter a NUMBER only.
Answer:
m = 20
Step-by-step explanation:
You want the value of m when (4m +10)° represents an angle of 90°.
EquationThe perpendicular bisector XZ intersects segment WY at right angles. The measure of a right angle is 90°, so we have ...
(4m +10)° = 90°
SolutionDividing by ° and subtracting 10 gives ...
4m +10 = 90
4m = 80
m = 20 . . . . . . divide by 4
The value of m is 20.
<95141404393>
Find the value of each variable in each parallelogram.
The value of variables are,
1) h = - 3
2) r = 2
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We know that;
Diagonals of a parallelogram are equal to each other.
In figure 1;
We can formulate;
⇒ 2h + 2 = 2h + (h + 5)
⇒ 2h + 2 = 2h + h + 5
⇒ 2h + 2 = 3h + 5
⇒ 2 - 5 = 3h - 2h
⇒ - 3 = h
⇒ h = - 3
In figure 2;
We can formulate;
⇒ 5r + 5r = (5r - 2) + (4r + 4)
⇒ 10r = 5r - 2 + 4r + 4
⇒ 10r = 9r + 2
⇒ 10r - 9r = 2
⇒ r = 2
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ1
What is the value of the expression -8+4-7+9+2 +(-5)
Answer:
-5
Step-by-step explanation:
Shown in image.
A certain truck traveled 7,605 miles in 15 days. What is the average number of miles traveled per day?
If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that, a certain truck traveled 7,605 miles in 15 days.
The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,
Suppose the average number of miles traveled per day is x,
x=76015 / 15
x=507 miles per day.
Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
Learn more about the average here:
brainly.com/question/24057012
#SPJ1
(5x + 4) + (-8x - 2)
Answer:
-3x + 2
Step-by-step explanation:
(5x + 4) + (-8x - 2)
= 5x + 4 -8x - 2
combine like terms
-3x + 2
The general manager, marketing director, and 3 other employees of CompanyAare hosting a visitby the vice president and 2 other employees of CompanyB. The eight people line up in a randomorder to take a photo. Every way of lining up the people is equally likely.Required:a. What is the probability that the bride is next to the groom?b. What is the probability that the maid of honor is in the leftmost position?c. Determine whether the two events are independent. Prove your answer by showing that one of the conditions for independence is either true or false.
Answer:
Following are the answer to this question:
Step-by-step explanation:
Let, In the Bth place there are 8 values.
In point a:
There is no case, where it generally manages its next groom is = 7 and it will be arranged in the 2, that can be arranged in 2! ways. So, the total number of ways are: \(\to 7 \times 2= 14\\\\ \{(1,2),(2,1),(2,3),(3,2),(3,4),(4,3),(4,5),(5,4),(5,6),(6,5),(6,7),(7,8),(8,7),(7,6)\}\\\)\(\therefore\) required probability:
\(= \frac{14}{8!}\\\\= \frac{14}{8\times7 \times6 \times 5 \times 4 \times 3\times 2 \times 1 }\\\\= \frac{1}{8\times6 \times5 \times 4 \times 3}\\\\= \frac{1}{8\times6 \times5 \times 4 \times 3}\\\\=\frac{1}{2880}\\\\=0.00034\)
In point b:
Calculating the leftmost position:
\(\to \frac{7!}{8!}\\\\\to \frac{7!}{8 \times 7!}\\\\\to \frac{1}{8}\\\\\to 0.125\)
In point c:
This option is false because
\(\to P(A \cap B) \neq P(A) \times P(B)\\\\\to \frac{12}{8!} \neq \frac{14}{8!}\times \frac{1}{8}\\\\\to \frac{12}{8!} \neq \frac{7}{8!}\times \frac{1}{4}\\\\\)
PLEASE HELP SOON THX SO MUCH
an airplane flies 3300 miles with the wind in 3 hrs 18 minutes. it takes 4 hrs 24 mins to make the return flight against the same wind. find speed of airplane and wind.
Answer:
The speed of aeroplane =875 miles/hr and the speed of wind =125 miles/hr.
Step-by-step explanation:
Let’s assume the speed of the plane =x miles/hr
And let the speed of wind =y miles/hr
So, the speed of the aeroplane in the direction of wind =(x+y) miles/hr
Speed of the aeroplane in the opposite direction of wind =(x–y) miles/hr
We know that, distance=speed×time
Then according to the given conditions, we have
3300=(x+y)×(3+(18/60))
here convert 18mins to hour by dividing by 60 and add to 3hrs.
⇒x+y= 3300/3.3
⇒x+y=1000 … (i)
And,
3300=(x-y)×(4+(24/60))
here convert 24mins to hour by dividing by 60 and add to 4hrs.
⇒x-y= 3300/4.4
⇒x-y=750 … (ii)
Adding equation (i) and (ii), we get
2x=1750
⇒x= 1750/2
=875
Substituting the value of x in equation (ii), we get
875−y=750
⇒y=875-750
⇒y=125
Therefore, the speed of aeroplane =875 miles/hr and the speed of wind =125 miles/hr.
1) 6x – 5y – 3z = 15
2x – 3y – 4z = 2
y = 4z - 4
Step-by-step explanation:
6x - 5y -3z=15 ...................(1)
2x - 3y - 4z =2 ...................(2)
GUYS PLEASE HELP ME ON THIS ONE!, i will give brainliest to the right answers
Aisha has $40 to spend for her ornithology club. She spends some of it buying birdseed and saves the rest. Her savings is given by f(x)=40−1.25x, where x is the number of pounds of birdseed she buys at $1.25 per pound.
Answer:
c. If x = 3. Substitute. f(3) = 40 - 3.75, which means if Aisha buys 3 pounds of birdseed, she saves $36.25.
c. If x = 18. Substitute. f(18) = 40 - 22.5, which means if Aisha buys 18 pounds of birdseed, she saves $17.50.
c. If x = 36. Substitute. f(36) = 40 - 45, which means if Aisha buys 36 pounds of birdseed, she needs $5.00 extra.
d. 8
Step-by-step explanation:
f(x) = 40 - 1.25x
c.
If x = 3. Substitute. f(3) = 40 - 3.75, which means if Aisha buys 3 pounds of birdseed, she saves $36.25.
If x = 18. Substitute. f(18) = 40 - 22.5, which means if Aisha buys 18 pounds of birdseed, she saves $17.50.
If x = 36. Substitute. f(36) = 40 - 45, which means if Aisha buys 36 pounds of birdseed, she needs $5.00 extra.
d.
x = x. f(x) = 40 - 1.25x = 30
1.25x = 10
Divide by 1.25 on both sides to isolate x.
x = 8
8 pounds is the answer.
Hope this helps :)
Have a nice day!
4. Find the value of p if 2P=2^2 p-7
Answer:
P = 7
Step-by-step explanation:
\({ \tt{ {2}^{p} = {2}^{2p - 7} }} \\ \)
- From the law of indices; If an index has same base, then the powers are equal.
\({ \boxed{ \rm{ \blue{ ({x}^{a} = {x}^{b}) \rightarrow{ \red{a = b}} }}}}\)
\({ \tt{p = 2p - 7}} \\ { \tt{p -2 p = - 7}} \\ { \tt{p = 7}}\)
OR:
Applying logarithms can also be borrowed;
\({ \tt{ log( {2}^{p} ) = log( {2}^{2p - 7} ) }} \\ \\ { \tt{p log(2) = (2p - 7) log(2) }} \\ \\ { \tt{ \frac{p log(2) }{ log(2) } = \frac{(2p - 7) log(2) }{ log(2) } }} \\ \\ { \tt{p = 2p - 7}} \\ \\ { \tt{p - 2p = - 7}} \\ \\ { \tt{p = 7}}\)
At the grocery store, Mr. Abroms saw eggplants that cost $1.79 each, apples that cost $0.59 each, bags of spinach that cost $2.55 each, and cartons of orange juice that cost $3.89 each. Which of these statements below are true? Choose the three correct answers.
Answer:
Option 1, 3 and 5 are correct
Step-by-step explanation:
Given
Eggplants = $1.79 each
Apples = $0.59 each,
Bags of spinach = $2.55 each
Cartons of orange juice = $3.89 each
Required
Select three true statements
To do this, we'll check the options one after the other
1. 4 eggplants cost about $0.50 less than 3 bags of spinach
First, we need to calculate the cost of 4 eggplants
4 Eggplants = 4 * 1 Eggplants
4 Eggplants = 4 * $1.79
4 Eggplants = $7.16
Next, we calculate the cost of 3 bags of Spinach
3 bags of Spinach = 3 * 1 bag of Spinach
3 bags of Spinach = 3 * $2.55
3 bags of Spinach = $7.65
Determine the difference
Difference = |Eggplants - Bags of Spinach|
Difference = |$7.16 - $7.65|
Difference = |-$0.49|
Difference = $0.49
This statement is true because $0.49 approximates to $0.50
2. Total cost of 4 apples and 2 eggplants $0.50 is more than $6.00
First, we need to calculate the cost of 4 apples
4 Apples = 4 * 1 Apples
4 Apples = 4 * $0.59
4 Apples = $2.36
Next, we calculate the cost of 2 Eggplants
2 Eggplants = 2 * 1 Eggplant
2 Eggplants = 2 * $1.79
2 Eggplants = $3.58
Add this two results together
Total = 4 Apples + 2 Eggplants
Total = $2.36 + $3.58
Total = $5.94
This statement is false because the sum is less than $6.00
3. Total cost of 4 eggplants, 4 apples and 1 carton of orange juice is $13.41
In (1) & (2) above
4 Eggplants = $7.16
4 Apples = $2.36
1 carton of orange juice = $3.89
Add the above together
Total = $7.16 + $2.36 + $3.89
Total = $13.41
This statement is true because the sum is $13.41
4. Total cost of 5 eggplants is greater than cost of 4 bags of spinach
First, we need to calculate the cost of 5 eggplants
5 Eggplants = 5 * 1 Eggplants
5 Eggplants = 5 * $1.79
5 Eggplants = $8.95
Next, we calculate the cost of 4 bags of Spinach
4 bags of Spinach = 4 * 1 bag of Spinach
4 bags of Spinach = 4 * $2.55
4 bags of Spinach = $10.20
This statement is false because 4 Eggplants costs less than $ bags of spinach
5. Total cost of 2 eggplants, 2 apples and 2 cartons of orange juice is $9.99 more than cost of 1 bag of spinach
From (2) above
2 Eggplants = $3.58
Next, we need to calculate the cost of 2 apples
2 Apples = 2 * 1 Apples
2 Apples = 2 * $0.59
2 Apples = $1.18
Next, we need to calculate the cost of 2 cartons of orange juice
2 Cartons = 2 * 1 Carton
2 Apples = 2 * $3.89
2 Apples = $7.78
Sum these up
Total = $3.58 + $1.18 + $7.78
Total = $12.54
1 Bag of spinach = $2.55 each
Subtract 1 Bag of spinach from the $12.54
Difference = $12.54 - $2.55
Difference = $9.99
This statement is true because the difference is $9.99
Zack is on his school's color guard and is practicing throwing and catching his flag. He throws the flag into the air from a height of 5 feet at a velocity of 30 feet per second. After the flag starts to come back down, he catches it 7 feet above the ground.
To the nearest tenth of a second, how long is the flag in the air before Zack catches it?
Hint: Use the formula h=16t2+vt+s.
The Nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.
To determine the time the flag is in the air before Zack catches it, we can use the kinematic equation for vertical motion:
h = 16t^2 + vt + s
Where:
h is the height of the flag,
t is the time in seconds,
v is the initial vertical velocity of the flag,
s is the initial height of the flag.
In this case, the flag is thrown into the air from a height of 5 feet (s = 5) with an initial vertical velocity of 30 feet per second (v = 30). Zack catches it at a height of 7 feet (h = 7).
We can rewrite the equation as:
7 = 16t^2 + 30t + 5
To find the time (t) when the flag is at a height of 7 feet, we can rearrange the equation and solve for t. However, since this is a quadratic equation, we can also use the quadratic formula.
The quadratic equation in this case is:
16t^2 + 30t + 5 - 7 = 0
16t^2 + 30t - 2 = 0
Now, we can use the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
Applying the values from the quadratic equation, we have:
t = (-30 ± √(30^2 - 4 * 16 * (-2))) / (2 * 16)
Simplifying further:
t = (-30 ± √(900 + 128)) / 32
t = (-30 ± √1028) / 32
Using a calculator, we find two solutions:
t ≈ -1.08 seconds or t ≈ 0.06 seconds
Since time cannot be negative in this context, we discard the negative solution.
Therefore, to the nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.
To know more about Nearest .
https://brainly.com/question/31217836
#SPJ8
1+(5,6)
Square root 3.14
Answer:
still need help
Step-by-step explanation:
HELPPP PLS :)
find the value of x.
Answer:
9
Step-by-step explanation:
4x - 2 = 34 measure of two legs of isosceles triangle are equal
4x = 36
x = 9
What is he scale factor I’ll give you brainliest!!!!
Divide two corresponding sides:
GN is corresponding to AL
15 /20 = 3/4
The scale is 3/4
Find the probability of a point chosen at random being in the shaded area of the diagram at the right
Answer:
1/2
Step-by-step explanation: because it is shaded or not
WILL MARK BRAINLEST
Examine the algebra tiles.
Which equation is being modeled?
4x + 3 = 4x + 5
–3x + (–3) = 4x + 5
4x + (–3) = 5x + 4
–3x + 4 = 5x + 4
Answer:
3rd one
Step-by-step explanation:
Answer:
4x + (–3) = 5x + 4
Step-by-step explanation:
right on edge
multiply [4, 0, -1, 2, -3, -1]x[0, 1, -3, 1]
Please Help...
Multiplication of the given matrix is not possible by definition of matrix multiplication.
Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Expression for multiply,
⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]
Since, We can see that;
First matrix have order 1 x 6
And, Second matrix have order 1 x 4
We know that;
Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.
Hence, By given matrices we get;
Number of column in first matrix (6) ≠ number of rows in second matrix (1)
So, Multiplication of the given matrix is not possible by definition of matrix multiplication.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ1
The sum of three consecutive even integers is 402
Answer:
let the three consecutive even integers be x
So, x + x + x = 402
3x = 402
x = 402/3
x = 134
Therefore, one consecutive even integer is 134.