Answer:
8 × square root of 2
Step-by-step explanation:
50 is 25 × 2 and we take 5 outside of the root and were left with 2 inside.
18 is 9 × 2 and we take the 9 outside of the root so it becomes 3 with 2 left inside the root.
then we just find the sum
Convert 6 2/3 % to a fraction lowest terms
Answer:
109/150
Step-by-step explanation:
Answer: 109/150
6% = 6/100
6/100 = 18/300 (Multiply Numerator and Denominator by 3)
2/3 = 200/300 (Multiply Numerator and Denominator by 100)
200/300 + 18/300 = 218/300
218/300 = 109/150 (Simplify by Dividing Numerator and Denominator by 2)
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference? A 5-column table with 3 rows. Column 1 is labeled a with entries 1, 4, negative 6. Column 2 is labeled b with entries 2, negative 1, negative 3. Column 3 is labeled a + b with entries 3, 3, negative 9. Column 4 is labeled a minus b with entries negative 1, 5, negative 3. Column 5 is labeled Distance with entries 1 unit, 5 units, 3 units. Which describes the relationship between the distance and the difference? The distance is always the opposite of the difference. The distance is exactly the difference. The distance is the absolute value of the difference. The distance is not related to difference.
Answer:
C) The distance is the absolute value of the differenceStep-by-step explanation:
We are interested in the last two columns.
If we compare them we see that each value of the distance column is the absolute value of corresponding value of difference:
a - b = 1, 5, - 3distance = 1, 5, 3Corect choice is C
Answer:
The distance is the absolute value of the difference.
Step-by-step explanation:
Given table:
[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} a & b & a+b & a-b & \sf distance\\\cline{1-5} 1 & 2 & 3 & -1 & 1 \sf \: unit\\\cline{1-5} 4 & -1 & 3 & 5 & 5 \sf \: units\\\cline{1-5} -6 & -3 & -9 & -3 & 3 \sf \: units\\\cline{1-5}\end{array}[/tex]
The difference is column 4.
The distance is column 5.
The absolute value of a number is its positive numerical value. It is denoted by a vertical line either side of the real number.
For example, |5| means 'the absolute value of 5', and |-5| means 'the absolute value of -5'.
Taking the absolute values of the differences:
⇒ |-1| = 1
⇒ |5| = 5
⇒ |-3| = 3
Therefore, the distance is the absolute value of the difference.
Suppose you pay back $600 on a $550 loan. You had the loan for 105 days. What was your simple annual interest rate?
well, since we'll be assuming a year has 365 days, well, 105 days is really just 105/365 of a year, and since you paid back 600, that means the interest was 50 bucks, 600 - 550 = 50.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$50\\ P=\textit{original amount deposited}\dotfill & \$550\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{105}{365}\dotfill &\frac{21}{73} \end{cases} \\\\\\ 50 = (550)(\frac{r}{100})(\frac{21}{73})\implies 50=\cfrac{11550r}{7300}\implies 50=\cfrac{231r}{146} \\\\\\ 7300=231r\implies \cfrac{7300}{231}=r\implies \stackrel{\%}{31.6}\approx r[/tex]
a. Use the appropriate formula to find the value of the annuity
b. Find the interest
Rate
Periodic Deposit
$6000 at the end of each year
15.5% compounded annually
Time
10 years
The value of the $6000 annuity given annual compounding is $124,836.12.
What is the value of the annuity?
The value of the annuity can be determining using this formula: amount deposited x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
n = number of years r = interest rate$6000 x [(1.155^10) - 1/0.155] = $124,836.12
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a computer screen is 22cm by 12cm. what is the perimeter of the screen
Answer:
The perimeter is 68 cm.
Step-by-step explanation:
Two sides of 22cm = 44cm
Two sides of 12 cm = 24 cm
44cm + 24cm = 68cm.
4(x+5)=6(x+4) what is x
Answer:
x = -2
Step-by-step explanation:
1) Distribute
4(x+5)=6(x+4)
4x+20=6(x+4)
2) Distribute
4x+20=6(x+4)
4x+20=6x+24
3) Subtract 20 from both sides
4x+20=6x+24
4x+20-20=6x+24-20
4) Simplify
- Subtract the numbers
4x+20-20=6x+24-20
4x=6x+24-20
- Subtract the numbers
4x = 6x + 24 - 20
4x = 6x + 4
5) Subtract 6x from both sides
4x = 6x + 4
4x - 6x = 6x + 4 - 6x
6) Simplify
- Combine like terms
4x-6x = 6x + 4 - 6x
-2x = 6x + 4 - 6x
- Combine like terms
-2x = 6x + 4 - 6x
-2x = 4
7) Divide both sides by the same factor
-2x = 4
-2x/-2 = 4/-2
8) Simplify
- Cancel terms that are in both the numerator and denominator
-2x/-2 = 4/-2
x = 4/-2
- Divide the numbers
x = 4/-2
x = -2
how do you do Mean Absolute Deviation with 35 42,41,32,30?
Answer:
The numbers added up together is 180, and divide 180 by 5 is 36.
1,6,5,4,6=22.
22/5=4.4
Step-by-step explanation:
You can look it online but as quoted,
"Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth." -IXL
I sent pic for help. Question has 3 parts
Tickets for a movie cost $8 for evenings and $5 for matinees. They sold 440 tickets sold and collected $3130 in ticket sales.
Determine which system(s) you could use to calculate the number of matinee tickets sold.
a. x + y = 3130
5x + 8y = 440
b. x + y = 440
5x + 8y = 3130
c. x + y = 3130
8x + 5y = 440
d. x + y = 440
8x + 5y = 3130
d is the answer
let the number of tickets be x and y
then the prices are multiplied to the number of tickets.
Hechen paro es para el parcial
1.
(x+7)²
using (a+b)²=a²+b²+2ab
= x²+7²+ ( 2×x×7 )
= x²+49+14x
THEREFORE, x²+14x+49 is the answer
2.
4x²-1 = 0
= (2x)²-1² = 0
using a²-b² = (a+b) (a-b)
THEREFORE, (2x+1) (2x-1) is the answer
HOPE IT HELPS :)
jack had m problems to complete during his vacation. (a) how many problems did jack solve per day? (b) suppose jack was solving 15 problems per day. (c) How many problems were assigned for homework
Jack's problems illustrates algebraic expressions
He solved m/5 problems everyday.75 questions were assigned in totalProblems solved per dayThe given parameter is:
Problems = m
From the complete question, we understand that all questions were solved in 5 days.
So, the number of questions solved per day is:
Daily = m/5
Number of problems in the assignmentWe have:
Daily = m/5
He solved 15 daily.
So, the equation becomes
m/5 = 15
Multiply both sides by 15
m = 75
Hence, 75 questions were assigned in total
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If - 4x + 6y = 9 and -2x – 7y = -8 are true equations, what would be the value of -2x + 13y?
Answer:
17
Step-by-step explanation:
The expression of interest is the difference of the two given expressions.
(-4x +6y) -(-2x -7y) = (9) -(-8)
-2x +13y = 17
The value is 17.
_____
Additional comment
You could go to the trouble to solve the two equations for x and y, then compute the value of the expression you want. As we saw above, that is not necessary.
The first step in problem solving is always "look at the given information and how it relates to what you are asked." A little time spent doing that can save a lot of effort in the actual problem solving process.
three times the number of books that you have
Step-by-step explanation:
let b represent the number of books
b×b×b
b3
For which values of x is the expression undefined
Answer:
x = 7
Step-by-step explanation:
x - 7 = 0
x = 7
Use the distributive property to fill in the blank. 8 x (6 - 5) = (8 x ?) - (8 x ?)
Hey there!
8 * (6 - 5)
= 8(6 - 5)
= 8(6) + 8(-5)
= 48 + (-40)
= 48 - 40
= 8
OR
8 * (6 - 5)
= 8(6 - 5)
= 8(1)
= 8
OR EVEN
8 * (6 - 5)
= (8 * ?) - (8 * ?)
= (8 * 6) - (8 * 5)
= 48 - 40
= 8
Thus, your answer is: (8 * 6) - (8 * 5)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Derek need to buy 4 sheets of plywood for $9 each and some boxes of nails. He has $60 to spend. If each box of nails costs $5 at most how many boxes can he buy?
Answer:
4
Step-by-step explanation:
4 sheets of plywood X 9$=36$
60$-36$=24$
24$ is left over to buy boxes of nails at 5$ each
24/5=4.8
Derek can buy 4 boxes of nails.
Which of the following is not a way to say 2x + 2?
A.
twice a number plus two
B.
two times the sum of a number and two
C.
two times a number, added to two
D.
the sum of twice a number and two
Answer:
d(sum of twice a no and two)
Step-by-step explanation:
Answer:
correct answer is B
Step-by-step explanation:
two times the sum of a number and 2:
2(x+2), which is not correct
n - 1/8 = 3/8
I am no smort and i forgot to study for a test =|
Answer:
[tex]\boxed{\sf{n=\dfrac{1}{2}=0.5 }}[/tex]Step-by-step explanation:
Isolate the term of n from one side of the equation.
n-1/8=3/8First, add by 1/8 from both sides.
n-1/8+1/8=3/8+1/8
Solve.
Add the numbers from left to right.
3/8+1/8=4/8
Common factor of 4.
4/4=1
8/4=2
Rewrite as a fraction.
=1/2
n=1/2
Divide is another option.
1/2=0.5
n=1/2=0.5
Therefore, the final answer is n=1/2=0.5.I hope this helps you! Let me know if my answer is wrong or not.
Convert the unit of length. Round the answer to one decimal place if necessary. 190 cm ≈ _____ ft
190 cm ≈ _____ ft?
Answer:
15.8
Step-by-step explanation:
I divided 190 by twelve and got 15.833333. The question said to round to one decimal place. So, I rounded to 15.8.
what is the slope of the line that passes through -14, 13 and 7, 0
Slope = change in y / change in x
slope = (0 - 13) / (7 - -14)
slope = -13/28
A video receives -16 points and 33 points in one day. How many members voted?
Answer: 49 members
Step-by-step explanation:
We will take the absolute value (their distance from 0) of both numbers and add them together. This will give us our final answer.
|33| = 33
|-16| = 16
33 + 16 = 49
49 members voted.
Answer:
Step-by-step explanation:
49
In the graph the horizontal axis says “proportion of heads”. Write a more accurate label for these values in terms of babies and toy preference.
The more accurate label for the x-axis of the Histogram should be the proportion of babies who love toys.
What is the Chart Label of an Axis in Statistics?A chart label is a name given to the factors represented by the axis of a chart.
Typically, a chart has two axes. In some cases, three.
Regardless of the number of axes that a chart has, it is important to properly label them for purposes of comprehension and accurate representation of the data on them.
The referrenced chart is attached.
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Draw a net or use a formula to find the surface area of the rectangular prism
PLEASE AWNSER NEEDED NOW Find the volume of the figure. Round your answers to the nearest hundredth, if necessary
What is the least common denominator of 7/10 and 4/5?
Answer:
10
Step-by-step explanation:
The least common denominator can be found by finding the LCM of the 2 denominators:
First let's list the multiples of the first denominator :
10,20,30,40,50
Now let's list the multiples of the second denominator :
5,10,15,20,25
As we can see the lowest number that appears in both lists is 10.
Therefore 10 is the least common denominator.
If the average rate of human hair growth is 12 mm per month, approximately how many years will it take to grow hair that is 1 m in length? Round of the nearest year
Answer:
7
Step-by-step explanation:
1) 1 m = 1000 mm, then to calculate the required time in months
2) 1000/12≈83.3 [months];
3) if 12 months=1year, then 83.3 months are 83.3/12≈6.94=7 [years].
Question
The sum of the measures of the angles of a triangle is
180. The sum of the measures of the second and third angles is five
times the measure of the first angle. The third angle is 30 more than the second. Let T. y, and z represent the measures of
the first, second, and third angles, respectively. Find the measures of the three angles.
Provide your answer below:
Answer:
t = 30°y = 60°z = 90°Step-by-step explanation:
The given relations can be used to write three equations for the angle values.
Setupt + y + z = 180 . . . . . sum of all angle measures
y + z = 5t . . . . . . . . second and third total 5 times the first
y + 30 = z . . . . . . third angle is 30 more than the second.
__
SolutionUsing the third equation to substitute for z in the first two equations gives ...
t + y + (y +30) = 180 ⇒ t +2y +30 = 180
y + (y +30) = 5t ⇒ 2y +30 = 5t
Using the second of these equations to substitute for (2y+30) in the first, we have ...
t +5t = 180
t = 180/6 = 30 . . . . . . divide by the coefficient of t
Using this value in our equation for 5t gives ...
2y +30 = 5(30)
2y = 120
y = 60
Then the value of angle z is ...
y +30 = z = 60 +30
z = 90
The first, second, and third angles are 30°, 60°, and 90°, respectively.
Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below.
1. p(x) = 5x2 + 30x
2. p(x) = 5(x2 + 6x)
3. (six-halves) squared = 9;
4. p(x) = 5(x2 + 6x + 9) – 5(9)
5. p(x) = 5(x + 3)2 – 45
What is the vertex of this function? Is it a maximum or a minimum?
What is the axis of symmetry of this function?
Answer:
Step-by-step explanation:
hello :
p(x) = 5(x + 3)2 – 45
the vertex is the point : A(-3 ; -45)
minimum -45
the axis of symmetry is the line when an equation is : x = -3
For each pair figures, find the ratio of the area of the first figure to the area of the second. 14mm 7mm
The ratio of the area of the first figure to the area of the second figure is 4:1
Ratio of the areas of similar figuresFrom the question, we are to determine the ratio of the area of the first figure to the area of the second figure
The two figures are similar
From one of the theorems for similar polygons, we have that
If the scale factor of the sides of two similar polygons is m/n then the ratio of the areas is (m/n)²
Let the base length of the first figure be ,m = 14 mm
and the base length of the second figure be, n = 7 mm
∴ The ratio of their areas will be
[tex](\frac{14 \ mm}{7 \ mm})^{2}[/tex]
[tex]= \frac{196 \ mm^{2} }{49\ mm^{2} }[/tex]
[tex]=\frac{4}{1}[/tex]
= 4:1
Hence, the ratio of the area of the first figure to the area of the second figure is 4:1
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At midnight the temperature
was -12°C. Twelve hours
later the temperature had risen
19°C. What was the midday
temperature?
Answer:
7C
Step-by-step explanation: