Multiplying by a fraction yields a smaller number if the fraction is less than 1, and a larger number if the fraction is greater than 1.
When multiplying by a fraction, the result depends on the fraction you're multiplying by. If the fraction is less than 1 (or what we refer to as a proper fraction where the numerator is less than the denominator), then the result is a smaller number than the original number you started with. For instance, multiplying 5 by 1/2 (which is a proper fraction) will yield 2.5, which is smaller than 5. However, if you multiply by a fraction greater than 1 (an improper fraction where the numerator is greater than the denominator), such as 5/3, the result will be a larger number. So, multiplying 5 by 5/3 will yield approximately 8.33, which is larger than 5.
The running track behind the local gym is 3/4 mile long. The track and field team ran 2 2/3 laps around the track. How many miles did the team run?
Answer:
If you round the answer it is 2 miles
Step-by-step explanation:
You multiply the fractions in fraction or decimal form
With decimal form you get 1.995, rounded up to 2
Answer:
2 miles
Step-by-step explanation:
hope this helps
Erin has a balance of $1,150.34 in her check register. On her statement, the balance of her account is $844.93. Not reported on the bank statement are deposits of $125.56, $50, and $212.34. There are outstanding checks in the amount of $15 and $78.25 and an ATM withdrawal of $40. After Erin reconciles her check register with her statement, what entry does she need to make in her register?
Answer:
D- -50.76
Step-by-step explanation:
Answer:
Erin must first reconcile her bank account:
She must add to her bank balance all the deposits in transit = $125.56 + $50 + $212.34 = $387.90
then she should subtract all outstanding checks = $15 + $78.25 = $93.25
reconciled bank statement = $844.93 + $387.90 - $93.25 = $1,039.58
if her check register shows a $1,150.34 balance and her reconciled bank statement is $1,039.58, then there is a $10.76 difference that must be accounted for.
The $10.76 are probably bank fees and charges that Erin has not recorded yet. Therefore, she should check her bank statement and look for any charged fees (ATM withdrawal charges + account fees) and then record them properly.
*ATM withdrawals are automatically recorded by the bank, so they do not have to be considered in the reconciliation, there is no such thing as outstanding ATM withdrawal.
A salesperson at a clothing store earns a commission of 2.5% on all the sales he makes. Which inequalities represent the sales, s, in dollars, he needs to make to earn a commission of more than $100
Answer:
Option A is correct.
Inequality represents the sale s in dollars:
[tex]0.025s\geq 100[/tex]
[tex]s> 4000[/tex]
Step-by-step explanation:
Let s represents the sales in dollars.
Given :A salesperson at a clothing store earns a commission of 2.5% on all the sales he makes.
Earns a Commission = 2.5% of s = [tex]\frac{2.5}{100} \times s = \frac{25s}{1000} = 0.025s[/tex]
It is also given that he needs to make to earn a commission of more than $100
then, we have an inequality:
[tex]0.025s\geq 100[/tex]
divide both sides by 0.025 we get;
[tex]s> 4000[/tex]
Therefore, an inequality represents the sales in dollar ; [tex]0.025s\geq 100[/tex] or [tex]s> 4000[/tex]
Answer:
s > 4,000, s > 4,000
Step-by-step explanation:
Since he needs to make $100 the choices that give him $100 or more are correct.
Kasia wants to create a triangle with angles measuring 37 degrees, 62 degrees, and 81 degrees. She says that only one unique triangle is possible given these angle measures. Which statement about Kasia’s claim is true?
Kasia is incorrect. Since the angles sum to 180 degrees and no side lengths are given, multiple triangles can be drawn with these angle measures.
Kasia is incorrect. No triangle can be made with these angle measures because they do not sum to 180 degrees.
Kasia is correct. Since the angles sum to 180 degrees and no measurements are given, only one unique triangle is possible.
Kasia is correct. Since the angles do not sum to 180 degrees, only one unique triangle is possible.
Answer:
option: A is correct
Step-by-step explanation:
kaisa's claim is incorrect. clearly the sum of the three angles is 180 degrees therefore we could easily create a triangle with the help of this information but we can't say that this traingle will be unique so we need to know some more information regarding its side.hence multiple triangles could be drawn with these angle measures.
hence option A is correct.
Answer:
A
Step-by-step explanation:
Determine which of the given numbers are roots of the polynomial f(x)=6x^2+x-1.
A. 1/2, 1
B. -1/2, 2
C. -1/2
D. 1
Answer:
Step-by-step explanation:
factor the trinomial: (3x-1)(2x+1)=0
x = 1/3 or -1/2
If you answer this I will mark you brainy!!! In an appropriate environment, guppies reproduce at an astounding rate. a population of breeding guppies doubles every 2 months. How many guppies will there be after 6 months if the beginning population is 180 guppies? A. 1440 guppies B. 1080 guppies C. 360 guppies D. 2880 guppies
The correct answer is A, 1440 guppies.
Answer:
Option A. 1440 guppies
Step-by-step explanation:
In an appropriate environment, the population of breeding guppies doubles every 2 months.
Initial population of guppies = 180
after 2 months they doubles = 180 × 2 = 360
after 4 months they doubles = 360 × 2 = 720
after 6 months they doubles again = 720 × 2 = 1440
After 6 months guppies population would be 1440.
What is the length of the midsegment of the trapezoid made by the vertices A(0, 5), B(3, 3), C(5, -2) and D(-1, 2). Show equations and all work that leads to your answer.
Answer:
[tex]\frac{3\sqrt{13} }{2}[/tex]
Step-by-step explanation:
First we have to identify the parallel sides of the trapezium.
We know that the slopes are equal for parallel lines.
Slope of (x₁,y₁) and (x₂,y₂) is given by
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Slope of AB:
[tex]m_{AB} = \frac{3-5}{3-0}=-\frac{2}{3}[/tex]
Slope of BC:
[tex]m_{BC} = \frac{-2-3}{5-3}=-\frac{5}{2}[/tex]
Slope of CD:
[tex]m_{CD} = \frac{2+2}{-1-5}=-\frac{4}{6}=-\frac{2}{3}[/tex]
Slope of DA:
[tex]m_{DA} = \frac{2-5}{-1-0}=3[/tex]
We see that the slopes of AB and CD are equal, so, AB and CD are the parallel sides.
The length of the midsegment = (1/2)*(length of base1 + length of base2 )
Length of the bases can be calculated using distance formula,
[tex]d= \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
AB = [tex]\sqrt{(3-0)^{2}+(3-5)^{2}}= \sqrt{9+4} =\sqrt{13}[/tex]
CD = [tex]\sqrt{(-1-5)^{2}+(2+2)^{2}}= \sqrt{36+16} =\sqrt{52}=2 \sqrt{13}[/tex]
Length of the midsegment = (1/2) (√13 + 2√13) =3√13/2
If the length of one base of a trapezoid is 5, the length of the other base is 2x + 7, and the length of the midsegment is 6x – 24, what is the value of x? Show equations and all work that leads to your answer.
Answer:
x = 6
Step-by-step explanation:
The midsegment of a trapezoid is the line parallel to the parallel sides of the trapezoid, which connects the midpoints of the non-parallel sides.
The length of the midsegment of the trapezoid is half the sum of the length of the parallel sides.
i.e,
Length of the midsegment = (1/2) *(Length of base1 + Length of base2)
6x - 24 = (1/2) * (5 + 2x + 7)
12x - 48 = 2x + 12
10x = 60
x=6
∴ x = 6
Which number is written in scientific notation?
A) 7.8 x 10^-5
B) 3.4 x 100^2
C) 0.84 x 10^6
D) -5 x 10^-12
Answer:
I would say A. 7.8 x 10^-5
Step-by-step explanation:
7.8 x 10^-5 can also be written as 7.8 times 10 to the negative fifth power or the exponent of negative five. But, if you solve it you would get 0.000078 as the real number.
help please 15 points
Answer:
its called line FGH
Step-by-step explanation:
its because the line is FGH
Hope this helps :)
A line is named by two of the points on the line, with a line drawn above the letters.
For the line in the attached image, the answer would be the first choice.
A contaminant is found in a solution at a level of 3/500%. What fraction of the solution is this
Answer:3/5
Step-by-step explanation:
First we change 500% to fractions
Changing percentage to fraction is dividing the number by 100
500% = 500/100
Putting this we get 3/(500/100)
Then when a number is being divided by a fraction, to get the answer, we multiply the number by the inverse of the fraction
3/(500/100) = 3 x 100/500 = 300/500 = 3/5
If contaminant is found in a solution at a level of 3/500%. Then 3/5 is fraction of the solution
What is Fraction?A fraction represents a part of a whole.
Given,
A contaminant is found in a solution at a level of 3/500%
Let us convert five hundred percentage to a fraction.
500% is converted to fraction by dividing 500/100
So let us divide three by 500/100
3/ (500/100)
When a fraction is divided with another fraction, then the denominator is multiplied inversely with numerator
3×100/500
=300/500
3/5
Hence if contaminant is found in a solution at a level of 3/500%. Then 3/5 is fraction of the solution
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how do u do this one?
Answer: 200 messages
========================================================
Check out https://brainly.com/question/11754609 for a similar problem
Plan A's cost equation is y = 0.10x + 30
Plan B's cost equation is y = 50
Equate the two right hand sides, then solve for x
0.10x + 30 = 50
0.10x = 50-30
0.10x = 20
x = 20/0.10
x = 200
If you send/receive 200 messages, then the two plans will both cost the same ($50) per month.
Use the domain and range of each of the following relations to determine which is a function.
A. {3,7,-7,9}
B. { (3,9), (7,-4), (-7,7) }
C. { (3,9), (7,-4), (-7,7) }
D. { (3,9), (7,-4), (7,6), (-7,7) }
Answer:
B
Step-by-step explanation:
i took a test with this question
We want to see which one of the given relations is a function.
The correct options are:
B and C.
To see this, we first need to define what a function is.
A function is a relationship that maps elements from one set, the domain, into another set, the range.
Such that each element in the domain can be mapped into only one element on the range.
The standard notation to these relations is (x, y).
This means that x, from the domain, is being mapped into y, from the range.
Now let's analyze the given options:
A) {3,7,-7,9}
This is just a set of values, no relation there, so this is not a function.
B) { (3,9), (7,-4), (-7,7) }
Here we have a relation, and we can see that each element on the domain is being mapped into only one element from the range, so this is a function.
C) { (3,9), (7,-4), (-7,7) }
This is the exact same set as the one on B.
D) { (3,9), (7,-4), (7,6), (-7,7) }
Here we can see that the element x = 7 is mapped into two different values, so this is not a function.
Then the options that represent functions are B and C.
If you want to learn more, you can read:
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The coldest surface temperature on the moon is 57 degrees colder than twice the coldest surface on Earth. What is the coldest surface temperature on Earth if the coldest temperature on the moon is -116 degrees?
Answer:
Step-by-step explanation:
Answer:
The problem can not be solved since information is missing.
The coldest surface temperature of the moon needs to be given in the text.
THIS IS THE ACTUAL ANSWER
NO JOKE
How much pizza will each person get if 4 people share 3 4 of a pizza equally? A) 1 3 B) 1 4 C) 1 6 D) 3 16
The graph shows the exponential regression model for data representing a rabbit population after x years. Which is true of the regression model?
The graph of the regression model is limited to whole-number values for x.
The graph of the regression model is limited to whole-number values for y.
The graph of the regression model cannot be used to approximate the population size for year 1.
The graph of the regression model can be used to predict the population size for any number of years in the future.
Answer:it’s B
Step-by-step explanation:
The price of a smart watch is $109.99 and the sales tax is 6.5%. What is the total cost of the smart watch? Enter your answer in the box.
if you know any other answer on quiz plz give them itll be appreciated greatly :)
In △ABC, AD and BE are the angle bisectors of ∠A and ∠B and DE ║ AB . Find the length of DE if perimeter of ABDE is 30 cm and AB = 12 cm
Answer:
DE = 6 cm
Step-by-step explanation:
Let DE = x cm.
Since DE is parallel to AB therefore by the alternate interior angles theorem, m∠BAD = m∠ADE and m∠ABE = m∠DEB ............(1)
As AD is an angle bisector of ∠A, therefore m∠EAD = m∠DAB ; Since BE is an angle bisector of ∠B ⇒ m∠ABE = m∠EBD.
Therefore, from (1) We get , m∠EAD = m∠ADE and m∠EBD = m∠BED.
So, the triangles ADE and EDB are then isosceles with AE = ED and ED = DB.
So AE = DE = DB = x, and since the perimeter of ABDE is 30 cm, then
12 + x + x + x = 30
⇒ 12 + 3x = 30
⇒ x = 6
Hence, the length of DE is 6 cm.
Answer:
DE=6cm
Step-by-step explanation:
Let x=DE, since AB║DE, therefore ∠BAD=∠ADE and ∠ABE=∠BED. (1)
Also, we are given that AD is the angle bisector of ∠A and BE is the angle bisector of ∠B,
Therefore, ∠EAD=∠DAB and ∠ABE=∠EBD (2)
From (1) and (2), ∠EAD=∠ADE and ∠EBD=∠BED
⇒The ΔADE and ΔEDB then becomes the isosceles triangle with AE=Ed and ED=DB (Sides opposite to equal angles are always equal)
Therefore, AE=DE=DB=x
We are given that the perimeter of ABDE is 30 cm, therefore,
Perimeter of ABDE= sum of all the sides of ABDE
⇒30=AB+BD+DE+AE
⇒30=12+3x
⇒30-12=3x
⇒x=6cm
Therefore, the length of DE= 6cm
A solution to an equation is a number when substituted back into the original equation produces a what statement
Answer:
true statement
Step-by-step explanation:
Substituting a solution back into the original equation will make the equation true.
Orlando invested $16,000 in an eight-year CD bearing 6.5% simple annual interest, but needed to withdraw $3,500 after five years. If the CD’s penalty for early withdrawal was one year’s worth of interest on the amount withdrawn, when the CD reached maturity, how much less money did Orlando earn total than if he had not made his early withdrawal? a. $227.50 b. $682.50 c. $910.00 d. $455.00
Answer:
Therefore, the correct option is OPTION C.
Step-by-step explanation:
If Orlando had not made his early withdrawal, the amount of money he would have earned is:
F = 0.065($16,000)(8) = $8.320
Given that he withdraw $3500, he now earns:
F1 = (0.065)($16,000)(5) + ($12,500)(0.065)(3)
F1 = $5200 + $2437.5 = $7637.5
And now we have to take into acount the year of penalty, which is one year’s worth of interest on the amount withdrawn.
Penalty= $3500(0.065)(1) = $227.5
So the total money he earns now is: $7637.5 - $227.5 = $7410
Then, the amunt of money he could have earn but he didn't is:
Money = $8.320 - $7410 = $910
Therefore, the correct option is OPTION C.
Answer:
Its C
Step-by-step explanation:
Find the perimeter of the rectangle.
104
26
52
208
Answer:
P = 124 inches
Step-by-step explanation:
We will need to use the Pythagorean theorem to find the bottom of the rectangle.
a^2 + b^2 = c^2
14^2 + b^2 = 50^2
196 + b^2 = 2500
Subtract 196 from each side
b^2 = 2500 -196
b^2 =2304
Take the square root of each side
sqrt(b^2) =sqrt(2304)
b=48
The perimeter is equal to
P =2(l+w)
P =2(14+48)
= 2(62)
= 124
Tossing coins imagine tossing a fair coin 3 times. (a) what is the sample space for this chance process? (b) what is the assignment of probabilities to outcomes in this sample space?
Answer:
We are given that a fair coin is tossed 3 times.
We know that if a fair coin is tossed 3 times, then there are 8 possible outcomes.
(a) what is the sample space for this chance process?
The sample space associated with tossing a fair coin three times are:
Ω = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
Where:
H denotes the head and T denotes the tail.
(b) what is the assignment of probabilities to outcomes in this sample space?
We are given that a fair coin is tossed 3 times, which means that all the possible outcomes in the above mentioned sample space has equal chance being selected. Therefore, the assignment of probabilities to outcomes in this sample space is same for all outcomes and is given below:
[tex]p= \frac{1}{8}[/tex]
Fill in the value of the function, when the input is 2: y = −4 + 2
Answer:
y=-6
Step-by-step explanation:
y=-4(2)+2
y=-8+2
y=-6
(2,-6)
Answer:
y = - 6
Step-by-step explanation: You have to substitute 2 for x in order for you to get your solution.
y = - 4x + 2
y = - 4(2) + 2
y = - 8 + 2
y = - 6
Remember, a negative times a positive, becomes a negativeHope this helps you!!! :)
can someone PLEASE HELP ME ASAP
Answer: The correct answer for number 1. is 11
A bond purchased at $500.00 now has a value of $650.00 what is the percent increase of its value?
Answer: A bond purchased at $500.00 now has a value of $650.00 what is the percent increase of its value?
To make it simple for you, the final ANSWER is a 30% increase, due to the fact that taking $500.00 and multiplying that by 0.3 gives you 150, which you add on to 500, giving you 650. Hope that helps!
Answer: The required percent increase in the bond's value is 30%.
Step-by-step explanation: Given that a bond purchased at $500.00 now has a value of $650.00.
We are to find the percent increase of the value of bond.
According to the given information, we have
Purchasing value of the bond = $500.00
and
present value of the bond = $650.00.
So, increase in the value of the bond = $(650.00 - 500.00) = $150.00.
Therefore, the percent increase of the bond's value is given by
[tex]\dfrac{150.00}{500.00}\times 100\%=\dfrac{3}{10}\times 100\%=30\%.[/tex]
Thus, the required percent increase in the bond's value is 30%.
PLEASE HELP! 100 POINTS! WILL GIVE BRAINLIESTT!
Your local shoe store anticipated giving away 2,500 pairs of shoes in one month, but they only sold 2,215 pairs of shoes. What was the approximate percent error? Show your work to find the percent error.
Answer:
= 11.4%
Step-by-step explanation:
Percent error = (target - actual)/target * 100
target = 2500
actual = 2215
Lets substitute in
Percent error = (2500-2215)/2500 * 100
= 285/2500*100
=.114 * 100
= 11.4%
Answer:
11.4%
Step-by-step explanation:
Which ordered pair COULD represent point P on the graph?
A) (2, 6)
B) (-3, 6)
C) (-2, -5)
D) (3, -5)
Answer:
the answer is d
Step-by-step explanation:
you can tell because it's past 2 and close to 3. it's -5 because it's past -4. so their is your answer to why it's d
The ordered pair that represents point P on the graph is **D) (3, -5)**. Point P lies in the fourth quadrant, where both the x-coordinate (3) and the y-coordinate (-5) are positive.
The ordered pair that could represent point P on the graph is **D) (3, -5)**. Point P is located in the fourth quadrant where both x and y coordinates are positive. The graph shows a Cartesian plane with axes labelled and scaled. Point P appears to be close to coordinates (3, -5), indicating it's located at a positive distance along the x-axis and a negative distance along the y-axis.Which of this fraction are greater then1/2 but less then 3/4 .7/8 .2/5 .1/3 .5/8 .3/6
Answer: 7/8
Step-by-step explanation:
think of each faction as a pie or pizza.
each one will have the number of slices as the bottom number of the fraction.
now shade in the top numbers and see if it more than your 1/2
you will see 7/8 is the answer since it will be one piece left from being complete or "gone"
hope this helped angel!!
Please check out my question
Answer: Choice D) x intercept of f(x) is larger then the x intercept of g(x)
===================================
Explanation:
A) False. The x intercept of f is 1 while the x intercept of g is -1. The x intercept happens when y = 0. Visually, this is where the graph crosses the x axis.
B) False. The y intercept of f(x) is -1, compared to the y intercept of g(x) is +1. The y intercept happens when x = 0, which is when the graph crosses the y axis.
C) False. The y intercept of f(x) is actually smaller than the y intercept for g(x)
D) True. The x intercept of f(x) is larger than the x intercept of g(x). Compare 1 and -1, which are the x intercepts for f and g in that order.
Answer: D
Step-by-step explanation:
NOTES:
x-intercept is when y = 0y-intercept is when x = 0f(x) g(x)
x-int: 1 -1
y-int: -1 1
A) x-intercepts are not equal so FALSE
B) y-intercepts are not equal so FALSE
C) y-intercept of f(x) is not greater than g(x) so FALSE
D) x-intercept of f(x) is greater than g(x) so TRUE
Geometry problem below
Answer:
Answer D. "ASA"
Step-by-step explanation:
Answer:
ASA
Step-by-step explanation:
When looking at the postulates, we need to know what they stand for
SSS, is side side side
SAS is Side angle side
AAS is angle angle side
ASA is Angle side angle (the side is between the angles)
In the picture we know 2 angles and the included side
so we will use ASA