Answer:
I think the answer is b sorry if the answer is wrong
Q6. The first three terms of an arithmetic series are 60, 4p and 2p-6 respectively (a) Show that p= 9 (b) Find the value of the 20th term of this series. (c) Prove that the sum of the first n terms of this series is given by the expression 12n (6 - n)
Answer:
p=9
t20=516
Step-by-step explanation:
a
4p-60=2p-6-2p
6p=54
p=9
b
a=60.. d=24
t20=a+19d
=60+19×24
=516
c
Sn=12.5+12.3+12.1
=12n(6-n)
bagles come in bags of eight. how many bagles are in 2 3/4 bags?
The graph below shows the percent of times a family ate at different restaurants in a year. The family ate at MacGregor’s 27 times.
How many times did the family eat at restaurants in a year?
20% amys place
10% pizza hut
10% taco bell
27 times adams house
Answer:
b pizza hut
Step-by-step explanation:
sorry im wrong
multiply 2 5/8 times - 2 3/5 what is the answer
Step 1: Change the Mixed Numbers into Improper Fractions
---To do so, multiply the number by the denominator and add that product to the numerator.
2 x 8 = 16 + 5 = 21
21 / 8
2 x 5 = 10 + 3 = 13
13 / 5
Step 2: Multiply the Improper Fractions
---When multiplying fractions, multiply straight across (numerator x numerator and denominator x denominator).
21 / 8 x 13 / 5 = (21 x 13) / (8 x 5) = 273 / 40
Step 3: Simplify
---Change the improper fraction back into a mixed number a simplify if necessary.
40 x 6 = 240
273 - 240 = 33
6 33/40
Answer: 6 33/40
Hope this helps!
a farmer receives 65% of proceeds of the sale of a crop of wheat. if the wheat is sold for $62,400. How much does he receive?
Answer:
40,560
Step-by-step explanation:
To find how much the farmer recives, we simply multiply:
62,400 * 65% = 40,560
help me please- find the equation of line a
Check the picture below.
let's notice something, the equation of line B is in slope-intercept form, thus
[tex]y = 2x + \underset{\stackrel{\uparrow }{b}}{2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so using that grid scale, we can just get two points from the line A to get its equation, let's use those in the picture below
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{0}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-6)}}}\implies \cfrac{0+6}{6+6}\implies \cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{(-6)}) \\\\\\ y+6=\cfrac{1}{2}(x+6)\implies y+6=\cfrac{1}{2}x+3\implies y=\cfrac{1}{2}x-3[/tex]
Al and his sister share a pizza cut into six equal pieces.
Ali eats of all the pieces. His sister eats of the remaining pieces.
After both Ali and his sister have eaten, what fraction of the pizza is left?
When both Ali and his sister have eaten, the fraction of the pizza that is left will be 5/12.
How to calculate the fraction?From the complete information, Ali eats 1/3 and his sister eats 1/4 of the pizza. Therefore, the number eaten by Ali will be:
= 1/3 × 6 = 2
The number eaten by the sister will be:
= 1/4 × 6 = 1.5
The remaining fraction will be:
=1 - (2 + 1.5)/6
= 1 - (3.5/6)
= 2.5/6
= 5/12
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Two people meet in the conference room on the fourth floor of a building. On departure, one person travels West
24 feet, South 18 feet, and Down 18 feet. The other person travels North 24 feet, East 12 feet, and Up 18 feet.
How far apart are the two people? Round to the nearest tenth.
Answer:
36*(5)^0.5
Step-by-step explanation:
distance on horizontal 36 feet
distance on vertical 78 feet
so distance between them = (36^2+78^2)^0.5 = 36*(5)^0.5
The two people are 66 feet apart from each other.
How to elaborate the problem ?
The 1st person travels 24 feet west, 18 feet south and 18 feet down.
The location of 1st person is (-24, -18, -18) , the negative sign is to convert all in same direction.
The 2nd person travels 12 feet east, 24 feet north and 12 feet up.
The location of 2nd person is (12, 24, 18)
How to find the distance between them ?The distance between (-24, -18, -18) & (12, 24, 18 = [tex]\sqrt{(-24-12)^{2}+(-18-24)^{2}+(-18-18)^{2} }[/tex] feet
= [tex]\sqrt{(-36)^{2}+(-42)^{2}+(-36)^{2} }[/tex]) feet
= 66 feet
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solve for the measure of angle JKL in the diagram below? Show your work and explain the steps you used to solve
Help which one is propotional?
Answer: C
Step-by-step explanation: Because that table is showing (x - y)
Alondra wrote the following incomplete statement
4.3 < 4 ___
Which of the following strategies could Alondra use to help her complete the statement? Answer all that apply
Answer:
4.3< 4.1
Step-by-step explanation:
its 4.1 because 4 is the same and three is greater than one
on a number line show all the values of X that have an absolute value less than three
Answer:
x can equal 2, 1, 0, -1, -2. A line graph is shown below.
Step-by-step explanation:
The absolute value means simply changing any negative number into a positive number. In this case, anything less than three and more than -3. If it was negative 3, then it would turn into 3. Which isn't less than. This means we can do : 2, 1, 0, -1, -2.
x can equal 2, 1, 0, -1, -2.
Find the arc length of the partial circle.
Answer in terms of π or use 3.14, and enter your answer as a decimal.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know :
Length of arc = Radius × Angle made by Arc at center [ in radians ]
[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 8 \times \dfrac{ \pi}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 4 \pi \dfrac{ }{} \: \: units[/tex]
or
[tex]\qquad \tt \dashrightarrow \: arc = 4 \times 3.14 = 12.56 \: \: units\dfrac{ }{} \: \: [/tex]
Arc length
L=r[tex]\theta[/tex]L=8(π/2)L=4πL=12.6unitsA small class has 10 students, 5 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at random. What is the
probability that the first student chosen will be a girl and the second will be a boy? Write your answer as a fraction in simplest form?
Answer:
the chances are most likely going to be 50/50
Step-by-step explanation:
50
50
Answer: 1/5
Step-by-step explanation:
How many variable terms are in the expression 3x3y + 5xz − 4y + x − z + 9? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:
6
Answer:
there are three variable terms
How do I graph h(x) = 4|x+4| +3
Answer:
Move the point on the diagonal to (1,4) then move the vertex 4 units left and 3 units upwards
Step-by-step explanation:
Joe was paid $216 for 16 hours of work. How much was he paid per hour
Answer:
13.5 dollars per hour
Step-by-step explanation:
216 divided by 16 is 13.5
Answer:
13.5
Step-by-step explanation:
All you have to do is divide $216 by 16
I have a bed but never sleep, I have a mouth but never eat, I run but never walk. What am I?
Answer:
A river
Explanation;
A river has a "bed," they have a "mouth," and they "run."
[tex]a^{2} +1=6a[/tex] then what is [tex]7 [a^{2}+\frac{1}{a^{2} }[/tex]
will mark brainliest
Answer:
238
Step-by-step explanation:
Given equation: [tex]a^2+1=6a[/tex]
Rearrange so that it is equal to zero:
[tex]\implies a^2-6a+1=0[/tex]
Quadratic formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
Using the quadratic formula to solve the given equation:
[tex]\implies a=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(1)(1)} }{2(1)}[/tex]
[tex]\implies a=\dfrac{6 \pm \sqrt{32}}{2}[/tex]
[tex]\implies a=3 \pm 2\sqrt{2}[/tex]
[tex]\implies a^2=17 \pm 12\sqrt{2}[/tex]
Substituting this into [tex]7\left(a^2+\dfrac{1}{a^2}\right)[/tex]
[tex]\implies 7\left(17 \pm 12\sqrt{2}+\dfrac{1}{17 \pm 12\sqrt{2}}\right)[/tex]
For [tex]17+12\sqrt{2}[/tex]:
[tex]\implies 7\left(17+12\sqrt{2}+\dfrac{1}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{(17+12\sqrt{2})^2}{17+12\sqrt{2}}+\dfrac{1}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{(17+12\sqrt{2})^2+1}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{289+408\sqrt{2}+288+1}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{578+408\sqrt{2}}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{34(17+12\sqrt{2})}{17+12\sqrt{2}}\right)[/tex]
[tex]\implies 7(34)[/tex]
[tex]\implies 238[/tex]
For [tex]17-12\sqrt{2}[/tex]:
[tex]\implies 7\left(17-12\sqrt{2}+\dfrac{1}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{(17-12\sqrt{2})^2}{17-12\sqrt{2}}+\dfrac{1}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{(17-12\sqrt{2})^2+1}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{289-408\sqrt{2}+288+1}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{578-408\sqrt{2}}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7\left(\dfrac{34(17-12\sqrt{2})}{17-12\sqrt{2}}\right)[/tex]
[tex]\implies 7(34)[/tex]
[tex]\implies 238[/tex]
Bobby says, “when you multiply two numbers, the product is greater than both factors “ Bobby’s claim is not always true select the two multiplication expressions that show Bobby’s claim is not always true
Answer:
0*1=0 7*1 basically anything multiplied by 0 or 1 will not be greater than both factors
Step-by-step explanation:
Based on how I do not know the options I am going to say what I believe you might have as options for example, anything multiplied by 0 is less than and anything multiplied by 1 is not greater it is equal to.
2.5 divided by 1.5 round to the nearest tenth
Answer:
1.7
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.5/2.5=15/25=0.6 no rounding necessary
A flower bouquet contains pink roses, red roses, pink carnations, and red carnations. One third of the pink flowers are roses, three fourths of the red flowers are carnations, and six tenths of the flowers are pink. What percent of the flowers are carnations
= 70% of the flowers are carnations
How do you find the probability of an outcome?Probability tells you which outcome is more likely to occur in any given event. You could determine the probability of the particular outcome by dividing the number of times that the outcome has occurred by the total no of events.
we are given that,
6/10 = 3/5 of the flowers are pink, do
we know .2/5 of the flowers are red .
Since 1/3 of the pink flowers are roses, 2/3 of
the pink flowers are on Carnations .
we are given that 2/4 of the red
flowers are carnations .
The number carnations are
[tex]\frac{3}{5} * \frac{2}{3} + \frac{2}{5} * \frac{3}{4}[/tex]
[tex]=\frac{2}{5} +\frac{3}{10}[/tex]
[tex]= \frac{4 + 3}{10}[/tex]
[tex]=\frac{7}{10}[/tex]
covert into percent
[tex]=\frac{7}{10} 100[/tex]
= 70%
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Need Help!
Ginger has an unpaid balance of $2,018.91 on her credit card. Her credit card has an interest rate of 1.2% per month. If she makes a payment of $500, how much will she owe at the end of the month?
$1,518.91
$1,537.14
$1,500.68
$1,543.14
Answer:
$1,537.14
I had this question once and this was the answrr
Find the area of this figure
Answer:
Step-by-step explanation:
4 * 9 + 2* 9 + 1/2*6 * 3
= 36 + 18 + 9
= 63 in^2
Please Help, My answer was incorrect
Answer:
4x + 3 = 7x -6
x = 3
Q = 3
not sure...
which of the following best describes a tessellation
Answer:
A
Step-by-step explanation:
A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps
Hope this helps!
In one or two sentences, explain how Archimedes' principle can be used to find out an object's density if you already know its mass
Answer:
The heaviness of displace fluid is equivalent to the buoyant force on a object that is submerged. When you get the mass from this, you may divide it by the volume in order to obtain the measure of the average density of the object.
Step-by-step explanation:
PLS HELP - FREE BRAINLIEST: Suppose 4 < a < 5 and 2 < b < 4. Find all possible values of each expression.
The expression indicated that the values of a will be between 4.01 and 4.99 and b will be between 2.01 and 3.99.
How to calculate the expression?From the first expression, 4 < a < 5. This means that 4 is less than a and a is less than 5. This means the values of a will be between 4.01 and 4.99.
Also, 2 < b < 4. This means that 2 is less than b and b is less than 4. Therefore, the values of b will be between 2.01 and 3.99.
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Answer:
The answer to a is 4.5, and the answer to b is 3.
Step-by-step explanation:
The averages are found as shown:
4+5=9
9/2=4.5
2+4=6
6/2=3
To find averages, first add all of the certain amount of numbers shown, then divide it all by the same amount of numbers there are.
Example:
5+7+9=21
21/3=7
Fill in the missing reasons for the following two-column proof for the following information. given: m is the midpoint of cd; cm = 3x – 10; md = 6x – 22 prove: x = 4 statement reason m is the midpoint of cd; cm = 3x – 10 ; md = 6x - 22 1. ? cm = md 2. ? 3x – 10 = 6x – 22 substitution -3x – 10 = -22 subtraction property of equality -3x = -12 3. ? x = 4 division property of equality
Midpoint is the middle segment of a given line. Since md = cm = 2 hence the point m is the midpoint of cd
How to prove the midpoint of a line?A line is a distance between two points. Given the line cd with "m" as the midpoint, the distance between cm and md will be equal that is:
md = cm
Given the following parameters
md = 6x - 22
cm = 3x - 10
Equate both expressions
6x - 22 = 3x - 10
6x - 3x = -10 + 22
3x = 12
x = 4
subtitute
cm = 3x - 10
cm = 3(4) - 10
cm =
Similarly:
md = 6x -22
md = 6(4) --22
md =
Since md = cm = 2 hence the point m is the midpoint of cd
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A person invests 7000 dollars in a bank. The bank pays 5.5% interest compounded
monthly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 13200 dollars?
The time required to get a total amount of $13,200.00 with compounded interest on a principal of $7,000.00 at an interest rate of 5.5% per year and compounded 12 times per year is 11.559 years. (about 11 years 7 months)
Answer:
t = 11.559 years
Compound InterestGiven Data
Principal P= $7000Rate r= 5.5%Final Amount A = $13200Time t = ??(about 11 years 7 months)
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.5/100
r = 0.055 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.055/12)] )
t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.0045833333333333)] )
t = 11.559 years
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