2 and 3/5 is equal to 2.6.
Being as the 2 is in front of the fraction, it is the whole number. This means in decimal form, it is to the left of the decimal point. Since there is no "fifths place" in a decimal, you must make it so it can go under the tenths, hundreths, thousanths or another place within the right side of the deciamal point. Simply multiplying 3/5 by 2/2 will give you 6/10. 6/10 as a decimal, is 0.6. Finally, add 0.6 and 2 together. Thus making 2.6 the answer.
I hope this helps!
The number of men aged 25-34 is (type an expression using x as the variable)
Since x=228 and the next age group count (men) is 309, expressed as a sum: x+81
If the earth rotates 15° each hour how long does it take to rotate 1°? Show your work
It will take 4 minutes to rotate 1º because 15 divided by 15 is one (to get 1º) and 60 (1 hour) divided by 15 is 4.
Mia 77 pieces of gum playing hoops at her school's game night. later she gave three to each of her friends. she only has five remaining. how many friends does she have?
77 - 3x = 5
subtract 77 from both sides : -3x = -72
divide by -3 on both sides to get x by itself : x = 24
The answer is that Mia has 24 friends (x = 24)
Which decimal is equivalent to 1 80/333
Answer: Our required decimal expansion would be[tex]1.\bar{240}[/tex]
Step-by-step explanation:
Since we have given that
[tex]1\dfrac{80}{333}[/tex]
We need to write in decimal form:
First we change the mixed fraction into improper fraction:
[tex]\dfrac{333\times 1+80}{333}=\dfrac{413}{333}\\\\=1.240240...............\\\\=1.\bar{240}[/tex]
Hence, our required decimal expansion would be[tex]1.\bar{240}[/tex]
Using the digits 2,3,5,6,8 find the smallest possible product?
the product is always the same:
1440
The smallest possible product using the digits 2, 3, 5, 6, 8 is 1440.
To do this, we’ll arrange the digits in ascending order:
2 < 3 < 5 < 6 < 8
Hence, the smallest number formed using these digits is 23568.
Now let’s calculate the product:
2*3*5*6*8 = 1440
So, the product is always the same: 1440.
Whether you arrange the digits in ascending or descending order, the product remains unchanged because multiplication is commutative (i.e., the order of multiplication doesn’t matter)
Which of the following choices are equivalent to the expression below? X^4/7
Answer:
the answer is a c and d
Step-by-step explanation:
can anyone help me on these questions?
the image is below;
many thanks,sam...
Answer:
a)
[tex] {( \sqrt{5}) }^{2} \times {( \sqrt{3}) }^{2} = 5 \times 3 = 15[/tex]
b)
[tex]( { \sqrt[3]{9} )}^{3} \times ( { \sqrt{30} )}^{2} = 9 \times 30 = 270[/tex]
a small airplane flies 625 miles with an average speed of 250 mph.. 1.25 hours after the plane leaves a boeing 747 leaves from the same point. both planes arrive at the same time; what was the average speed of the 747?
Final answer:
To find the average speed of the big airplane that leaves after the small airplane, calculate the time the small airplane took to cover the distance and then use that to find the time the big airplane spent traveling to determine its speed. The average speed of the big airplane is 500 mph.
Explanation:
The average speed of the small airplane can be calculated using the formula:
Speed = Distance / Time
Given that the small airplane travels 625 miles at an average speed of 250 mph, the time taken is 625 / 250 = 2.5 hours. As the big airplane leaves 1.25 hours later and both planes arrive at the same time, the big airplane traveled for 2.5 - 1.25 = 1.25 hours. The average speed of the big airplane can be calculated as 625 miles / 1.25 hours = 500 mph.
1 13 over 15 divided by 1 2 over 5
if ur saying 1 13/15 divided by 1 2/5 then the answer is
The exact form : 4/3
Decimal form : 1.3
Mixed number form : 1 1/3
what is -9/8 as a mixed number
-1 1/8 because -9/8 is equal to [tex]-\frac{9}{8}[/tex] so just make it a improper fraction, pretend the negative is not there then add the negative at the end
-hope this helps :D
there is an increase in the money supply that causes money to lose its purchasing power and prices to rise, what is this called?
A. Stagnation.
B. Inflation.
C. Deflation.
D. Conflation.
Answer:
open
Step-by-step explanation:
Inflation is the term used when an increase in the money supply reduces the purchasing power of money and causes prices to rise.
I am sorry if it seems much but PLEASE help me and PLEASE show the work it is really important
10. Combine like terms 4w and -5w wich is -w.
Now I don't know if u have to solve or simplify but the simplified form is -w-29
Explain how to find the greatest common factor of three numbers.
You find the highest number that can divide into all of them without leaving any with a remainder.
Hope this helps.
u have to multiply the three numbers till u get the GCF
correct me if im wrong
have a blessed day!
6(30 – 3) = plz help me
just think of it like this 6 x (30 - 3) so then it turns into 6 x 27 which is 162 :) I hope this helped :))
Work out the value of (6.8 x 10^2) x (1.3 x 10^-3) give your answer in standard form.
680*.0013=.884 because 6.8*10^2=680 and 1.3*10^-3=.0013 when you multiply them it'll give you .884
always move the decimal point the number of times that 10 is to the power to.
for example if its a negative number you move the decimal back and add zeros
if its a positive number move forward and add zeros
Answer:
8.84x10^-1
Step-by-step explanation:
Thankyou
It takes us of ribbon to make a hair bow. How much ribbon is needed to make 9 bows?
The length of ribbon needed to make 9 bows is 9 times the amount of ribbon needed for one bow, expressed mathematically as 9*x given 'x' is the length of ribbon for one bow.
Explanation:Based on your query, there appears to be a detail missing, which is the length of the ribbon needed to make one bow. Suppose we denote that length as 'x' units. To find the total length necessary for making 9 bows, we would simply multiply that length by 9. In mathematical terms, this would be expressed as 9*x. So if it takes x units of ribbon to make one bow, it will take 9*x units of ribbon to make 9 bows.
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Due to a typo, the exact length of ribbon per bow is unspecified. Assuming a length of [tex]\( x \)[/tex] per bow, for 9 bows the total needed would be [tex]\( 9x \)[/tex] This is akin to scaling up costs for making multiple items, similar to the production cost examples provided.
Explanation:It seems there is a typo in the initial fraction of ribbon used per bow, as it is not provided in the question. Assuming the fraction provided is the one we would work with, let's say it takes [tex]\( x \)[/tex] of a ribbon to make one hair bow. To find out how much ribbon is needed to make 9 bows, we multiply [tex]\( x \)[/tex] by 9. Therefore, the total amount of ribbon required for 9 bows would be [tex]\( 9x \)[/tex].
Going by the example information given, if we compare it with the cost of manufacturing goods, we can draw on the parallel of calculating the cost to produce multiple items. For example, if pants finishing costs 49 cents for 7 pairs, and we want to calculate for 9 pairs, we would set up a proportion or use unit rate to find the answer. Though this example doesn't directly relate to the ribbon question, it illustrates the process of scaling up a unit quantity to a larger quantity, which is a common mathematical operation in both scenarios.
if u 5 then take away 2 =
Um, I'm not directly sure what you mean but if its 5-2 then it makes 3.
I don't get this question. But, if its 5 - 2 it is 3.
Hope this helps! :)
a square has an area of 4 ft^2 what is the lenght of each side
area of square = 4ft²
a s area of square = length×lenght
let lenght =x
so area = x²
x²= 4ft²
taking square root
x=2 ftSo lebght of each side is 2 ft.
the x-intercepts and vertex
( - 6, 0).(2, 0 ) , vertex = ( - 2, - 16)
to find the x-intercepts set f(x) = 0
x² + 4x - 12 = 0
(x + 6)(x - 2) = 0 ( equate each factor to zero and solve for x )
x + 6 = 0 ⇒ x = - 6
x - 2 = 0 ⇒ x = 2
x- intercepts are ( - 6, 0),(2, 0)
given the quadratic in standard form : y = ax² + bx + c
the x-coordinate of the vertex = - [tex]\frac{b}{2a}[/tex]
here a = 1 , b = 4 and c = - 12
x- coordinate of vertex = - [tex]\frac{4}{2}[/tex] = - 2
substitute this value into the equation for y-coordinate
x = - 2 → y = 4 - 8 - 12 = - 16
vertex = ( - 2, - 16)
my tens digit is double my ones digit. I am less than 70 and greater than 60.
63 is your answer
Check:
Multiply: 3 x 2 = 6
Check that it is greater than 60, less than 70: 60 < 63 < 70
~Rise Above the Ordinary
Which is f(–3) for the quadratic function graphed?
–9
–3
0
9
Answer:
f(-3) = -9
Step-by-step explanation:
We usually express quadratic functions graphs in the form of f(x) = ax^n + bx + c
So f(-3) means that the value of this graph in the y-axis where x = -3 is -9
f(-3) = -9
I hope this helped.
The value of f(-3) is -9 for the quadratic function graphed.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We know that if we plot a quadratic function on the coordinate plane we will get a parabola graph and the standard expression for the parabola:
[tex]\rm f(x)=ax^2+bx+c[/tex]
Where a, b, c are real numbers and a ≠ 0
The value of f(-3) means the value of y on the coordinate plane when [tex]\rm x = -3[/tex]
From the graph, we can see the value of y when x = -3
Therefore,
f(-3) = -9
Thus, the value of f(-3) is -9.
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what is the factorization of the trinomial below? x^3-2x^2-35x
A) x(x-7)(x-5)
B) (x-7)(x+5)
C) x(x-7)(x+5)
D) (x^2-7)(x+5)
A cyclist rides her bike at a speed of 36 kilometers per hour. What is this speed in meters per second? How many meters will the cyclist travel in 5 seconds? Do not round your answers.
Given that speed of the cyclist = 36 kilometers per hour.
Now question says to find the speed in meters per second.
We know that 1 kilometer = 1000 meter
and 1 hour = 3600 seconds
so to convert 36 kilometers per hour into meter per second, we will multiply 36 by 1000/3600
36*1000/3600
=36*10/36
=10
Hence final answer is speed = 10 meters per second.
That 10 meters per second means cyclist will travel 10 meters in 1 second.
Now to find distance travelled in 5 seconds, we just need to multiply 10 and 5
So the final answer will be 10*5 or 50 meters.
Matthew was 1200 yards when Lowe began his pursuit. If Lowe ran 3 times as fast as Matthew, and overtook him in 30 minutes, how fast did each boy run?
To solve this problem, we set up equations based on the fact both boys cover the same distance in the given time. Taking Matthew’s speed as ‘x’, we find that 'x' equals 40 yards per minute, meaning Matthew’s speed is 40 yards per minute and Lowe’s is 120 yards per minute.
Explanation:The scenario can be resolved by employing the concepts of rate, time, and distance. Here, we need to recognize that 'rate' stands for the speed at which each boy is moving, 'time' signifies the duration in which Lowe overtakes Matthew, and 'distance' represents how far Matthew was when Lowe started pursuing him.
In this instance, Lowe's speed is stated to be three times faster than Matthew's speed. Since both boys are present in the same place after 30 minutes (when Lowe overtakes Matthew), we can say that they've both traveled the same distance. We can state this mathematically as:
Matthew's speed * 30 minutes = 1200 yards, and Lowe's speed * 30 minutes = 1200 yards
As we know that Lowe's speed is three times Matthew's speed, let's consider Matthew's speed as 'x'. As a result,
Lowe's pace becomes '3x'.
Because both equations equal 1200 yards, we may set the two equations equal to each other and solve for 'x':
x * 30 = 3x * 30
Dividing both sides by 30 yields 'x' = 40 yards per minute. Therefore, Matthew's speed is 40 yards per minute, and Lowe's speed is 3x, or 120 yards per minute.
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Find two consecutive integers whose sum is 75
x + (x + 1) = 75
2x + 1 = 75
2x = 74
x = 37
75 - 37 = 38
You can check by substituting the product for the value of x.
37 + 37 + 1 = 75
The two consecutive integers whose sum is 75 are; 37 and 38.
If two consecutive integers sum up to become 75.
We can represent the first number as = x and
the second number as = (x + 1).
The sum of both of the numbers = 75.
therefore, x + (x + 1) = 75.
2x + 1 = 752x + 1 = 752x = 75 - 12x + 1 = 752x = 75 - 12x = 74Dividing both sides of the equation by 2; we have;
x = 37
x + 1 = 38.
Ultimately, the two consecutive integers are; 37 and 38.
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700 meters or 4 kilometers which is furthest?
Simplify -7 1/8 - (-9 1/2
Convert 7 1/8 to an improper fraction.
Simplify 7 * 8 to 56
-56 + 1/8 - (-9 1/2)
Simplify 56 + 1 to 57
-57/8 - (-9 1/2)
Convert 9 1/2 to an improper fraction.
-57/8 - (-9 * 2 + 1/2)
Simplify 9 * 2 to 18
-57/8 - (-18 + 1/2)
Simplify 18 + 1 to 19
-57/8 - (-19/2)
Simplify brackets
-57/8 + 19/2
Find the LCD
LCD = 8
Make the denominators the same as the LCD
-57/8 + 19 * 4/2*4
Simplify. Denominators are now the same
-57/8 + 76/8
Join the denominators
-57 + 76/8
Simplify
19/8
Convert to a mixed fraction.
2 3/8
Your answer is D.
The 10 students who completed a special flying course are waiting to see if they will be awarded the one Distinction or the one Merit award for their efforts.
aIn how many ways can the two awards be given if:
1. if the same student can receive both awards?
2.if the same student cannot receive both awards?
Answer: 1)100ways and 2)90ways
Step-by-step explanation:
Given :-The 10 students who completed a special flying course are waiting to see if they will be awarded the one Distinction or the one Merit award for their efforts.
Ways can the two awards be given if the same student can receive both awards (i.e repetition is allowed)
=10×10=100ways
Ways can the two awards be given if the same student cannot receive both awards(i.e. repetition is not allowed)
=10×9=90ways
Final answer:
The number of ways two awards can be given out to 10 students is 100 when the same student can win both awards, and 90 when different students must win each award.
Explanation:
The student's question deals with the number of ways two awards can be given out to a group of 10 students under two different scenarios: one where the same student can receive both awards, and the other where the same student cannot receive both awards. This is a problem of permutations and combinations, a fundamental concept in probability and statistics.
Scenario 1: Same Student Can Receive Both Awards
In the first scenario, the same student can receive both the Distinction and the Merit award. Since there are 10 students and each student can potentially receive each of the two awards, we have 10 choices for the Distinction award and 10 choices for the Merit award. The total number of ways the two awards can be given out is simply the product of these two numbers:
10 (for Distinction) × 10 (for Merit) = 100 ways
Scenario 2: Different Students Receive Awards
In the second scenario, the same student cannot receive both awards. This means that once a student has been given one award, they cannot receive the other one. For the Distinction award, there are still 10 possible students. However, for the Merit award, there are only 9 remaining choices since the Distinction awardee cannot be considered:
10 (for Distinction) × 9 (for Merit) = 90 ways
find the sun of 5 ,-7 A.-2 B 12 c-35 D 2
Answer:
Step-by-step explanation:
Solution in given attachment.
A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?
2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to the system?
a = c =
Answer:
Adult ticket = $8
Child ticket = $5.5
a = 8 and c = 5.5
Step-by-step explanation:
2a + 4c = 38
3a + 3c = 40.5
To solve for the value of a and c in these equations. We solve the simulatenous equation by substitution method.
2a + 4c = 38 ..........eqn1
3a + 3c = 40.5 ............eqn2
Step 1, Find the value of a in eqn1
2a + 4c = 38
2a = 38 - 4c
a = (38-4c)/2
a = 19 - 2c
Step 2, subtitle the value of a in eqn2 to get the value of c.
3a + 3c = 40.5
3(19-2c) + 3c = 40.5
57 - 6c +3c = 40.5
57-40.5 = 6c -3c
16.5 = 3c
c = 16.5/3
c = 5.5
Step 3, subtitle the value of c in eqn1 to get the value of a.
2a + 4c = 38
2a + 4(5.5) = 38
2a + 22 = 38
2a = 38-22
2a = 16
a = 16/2
a = 8
Therefore:
Adult ticket = $8
Child ticket = $5.5
a = 8 and c = 5.5