Answer: it would be 18/3 or
Step-by-step explanation:
2/3 x 9 = ?
1) You multiple both numerator and denominator: 2x9 / 3x1 = 18/3
2) Find the GCF ( greatest common factor) for both numbers. Which is
3) Then divide both the numerator and denominator by 3 to simplify to it's lowest term: 18÷3= 6 and 3÷3= 1 which gives a fraction of 6/1 or
Bob mows lawns for 5 weeks during summer break. He mows 2 lawns every day. By the end of 5 weeks, how many lawns has Bob mowed?
Answer: 70
Step-by-step explanation:
7 days a week x 2 lawns = 14
14 lawns x 5 weeks = 70 lawns
Answer:
70 lawns
Step-by-step explanation:
If Bob mows lawns every day for 5 weeks this is how the equation would work:
2 * 7 = 14
14 * 5 = 70
I got the 7 because there's seven days per week.
The table lists how poverty level income
cutoffs (in dollars) for a family of four have
changed over time. Use the midpoint
formula to approximate the poverty level
cutoff in 1987 to the nearest dollar.
The poverty level cutoff in 1987 was dollars.
(Round to the nearest dollar as needed.)
Year
1970
1980
1990
2000
Points: 0 of 1
Income (in dollars)
3703
8234
13575
17371
Midpoint formula : -
Midpoint calculation
The midpoint formula is a method used to locate the midway point between two coordinates on a graph. The midpoint of a line segment with endpoints A and B is the point that is precisely between A and B, that is, it is placed at the same distance from A and B, as shown in the illustration below.
The midpoint formula can be utilized when two points on a graph in the coordinate plane are known. The midpoint M of two points (x1, y1) and (x2, y2) is:
Notice that the midpoint formula includes calculating an average of the x- and y-values of two coordinates. The midway formula may be simpler to recall as a result. The sum of two number is equal to multiplying a number by 2. In a coordinate system, a line segment's midpoint is defined as the point midway between two points in the vertical and horizontal directions. This value is equivalent to the line segment's average x- and y-coordinates. It should be rather simple to recall the midway formula if you keep this in mind.
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Solve the inequality: c² < − 3c + 70
Answer:
Answer is (-10,7) and inequality form: -10<c<7
Step-by-step explanation:
First factor the equation.
(c+7)(c-10)
Then find out which intervals make (c+7)(c-10)<0.
Keaton is building a rectangle tabletop and wants to put a metal border around the edge.the length of the tabletop is 1.83 meters and the width is 0.74 meter. Use the formula p=l +2w to find the permit of the tabletop. Lesson 1-1
The perimeter of the given rectangle is a 3.31 meter.
According to the statement
We have to find that the perimeter of rectangle.
So, For this purpose, we know that the
Perimeter is the distance around the edge of a shape.
From the given information:
The length of the tabletop is 1.83 meters and the width is 0.74 meter.
Then the formula to find the perimeter is a
P =l +2w
Here substitute the values then
P =l +2w
P = 1.83 +2*0.74
Now add the terms to get a perimeter of the rectangle.
Then
P = 1.83 +1.48
P = 3.31.
So, The perimeter of the given rectangle is a 3.31 meter.
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Andrea, Dina, and Lindsay invested in a partnership in the ratio of 7:9:14, respectively.
Ten years later, their partnership was worth $1,800,000. Dina decided to move to
Europe and sold her part of the partnership to Andrea.
a. How much did Andrea pay Dina for her share of the partnership? Round to the
nearest dollar.
b. What percent of the business did Andrea own after she bought out Dina? Round to
the nearest tenth of a percent.
c. What was the new ratio of ownership once the business was owned by only Andrea
and Lindsay?
ina
The new ratio of ownership once the business was owned by only Andrea and Lindsay is 8 : 7
a. How much did Andrea pay Dina for her share of the partnership?The ratio is given as:
Andrea : Dina : Lindsay = 7 : 9 : 14
The partnership worth is given as
Worth = $1,800,000
The amount received by Dina is:
Dina = Dina Ratio/Total Ratio * Worth
So, we have
Dina = 9/(7 + 9 + 14) * 1800000
Evaluate
Dina = 540000
Hence, Andrea pays Dina $540,000 for her share of the partnership
What percent of the business did Andrea own after she bought out Dina?Initially, we have:
Andrea : Dina : Lindsay = 7 : 9 : 14
So, the new ratio is
Andrea : Lindsay = (7 + 9) : 14
Evaluate
Andrea : Lindsay = 16 : 14
As a percentage, we have
Andrea = 16/(16 + 14) * 100%
This gives
Andrea = 53.33%
Hence, Andrea owns 53.33% of the business after she bought out Dina
What was the new ratio of ownership once the business was owned by only Andrea and Lindsay?In (b), we have:
Andrea : Lindsay = 16 : 14
Simplify
Andrea : Lindsay = 8 : 7
Hence, the new ratio of ownership once the business was owned by only Andrea and Lindsay is 8 : 7
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simplify:39÷(5+(4×5÷2) )
Answer:
this question is wrong .................
Answer:
39÷(5+(4×5÷2) )
39÷(5+(20÷2) )
39÷(5+10)
39÷15
2.6
An online store sells two types of speaker docks for smartphones. The higher-priced speaker dock sells for $170 and the lower-priced speaker dock sells for $90. Last week the store sold three times
as many lower-priced speaker docks as higher-priced speaker docks. Combined sales totaled $3,080. How many lower-priced speaker docks did it sell?
Answer:
21
Step-by-step explanation:
the price of the lower priced docs for that week would be 3x because the store sold 3 times as many low priced than the higher priced.
> so 90(3x) = 270x
170x + 270x = 440x
3080/440 = 7
7 high priced speakers were sold
to find out the cost of the lower ones you'd do
3x7 and get 21
4. Plans to vote
“yes” on issue Q
Plans to vote
“no” on issue Q Total
Plans to vote
“yes” on issue P 8 12 20
Plans to vote
“no” on issue P 14 16 30
Total 22 28 50
The table above shows a survey of 50 registered voters
in a city. Each voter was asked whether they planned to
vote “yes” or “no” on two different issues. If a voter who
plans to vote “yes” on issue P is randomly selected, what
is the probability that voter also plans to vote “yes” on
issue Q
The probability that voter also plans to vote “yes” on issue Q is found to be 0.4.
What is defined as the probability?The ratio of the total count of favorable outcomes to a total number of outcomes like an event is defined as probability. The number of favorable outcomes for an experiment with 'n' outcomes is denoted by x.The following equation is used to determine the probability of an event.
Probability(Event) = Favorable Outcomes/Total Outcomes
Probability(Event) = x/n
Eight voters intend to vote "yes" on both issues.
So, the favourable outcome becomes = 8.
Twenty voters intend to vote "yes" on issue P.
Thus, the total outcome = 20.
This is denoted by 8 /20 = 0.4.
Therefore, the likelihood that a voter will vote "yes" on issue Q is found to be 0.4.
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How do I solve this problem?
On Friday, 4/7 of Parkden School chose pasta for lunch, 1/5 chose pizza and the rest chose salad. What fraction of the pupils chose salad?
Answer:
i think is 7/12
because if 4/7 chose pasta,1/5 chose pizza then we add 7+5=12 then we sudstract 12-4-1 = 7.
hope that helps
Help me ASP SHOW UR WORK THANK YOU!!
The value of x is 4 , 12 , - 1 resp. in eq 1 , 2 and 3 .
Finding values of unknown variable x .
Following are linear equations in one variable .
On solving them we get ,
1 ) 2 ( 3 x - 5 ) = - 4 x + 30
6 x - 10 = - 4 x + 30
10 x =40
x = 4
2 ) 5 x - 6 - 3 x = 18
2 x = 18 + 6
2 x = 24
x = 12
3 ) - 11 - 5 x = 6 ( 5 x + 4 )
- 11 - 5 x = 30 x + 24
- 35 x = 35
x = - 1
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17 + 2 × 9 ÷ 3 + 4 × 6 ÷ 8
Answer: 26
Step-by-step explanation:
17 + 2 × 9 ÷ 3 + 4 × 6 ÷ 8=
17 + (2 × 9 ÷ 3) + (4 × 6 ÷ 8)= ==> multiplication and division come before addition
17 + (18 ÷ 3) + (24 ÷ 8)=
17 + 6 + 3=
23+3=26
Mathematical connection A lighthouse casts a revolving beam of light as far as the pier
The light's coverage area is given mathematically as i.e. Area=[tex]\pi d^{2}[/tex]
Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.
The revolving beam of light covers the whole space i.e entirely 360°
I.e. it forms a circle-like region
Area of circle = [tex]\pi r^{2}[/tex]{ where r is the radius of circle}
Let's assume the distance traveled by light as "d"
as it forms a circular region, it forms a circle of radius "d"
Mathematical connection i.e. area of the region
⇒area of circular region=[tex]\pi d^{2}[/tex] {where d is the radius of region}
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3. m/U = 3x°, and m/V = 3(m/U). Find the value of x that makes ZU and
ZV supplementary angles.
The value of x that makes ∠U and ∠V to be supplementary angles are; x = 15°
What are supplementary angles?
When we are talking about angle theorem and congruency in mathematics, it is well know that supplementary angles are defined as angles whose sum is equal to 180 degrees.
Now, we are given;
∠U = 3x°
∠V = 3(∠U)
Thus;
∠V = 3(3x°) = 9x°
From definition of supplementary angles, we can say that;
3x° + 9x° = 180°
12x = 180°
x = 180/12
x = 15°
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The point (4, 1) is reflected over the line y=-x to create Point B. What are the coordinates of B?
(-1, -4)
(-1,4)
(1, -4)
(1,4)
Answer:
(-1, -4)
Step-by-step explanation:
y = -x is the 45° diagonal through the origin from top left to bottom right.
a reflection across that line brings anything that is in quadrant 1 (x and y are positive) to quadrant 3 (x and y are negative) like this point. and vice versa.
points in quadrant 2 stay in quadrant 2, points in quadrant 4 stay in quadrant 4.
but in every case x and y are exchanged and both signs are flipped like (-1, 2) turns into (-2, 1).
or for our point : (4, 1) turns into (-1, -4)
question 10: please help asap !!!!
Answer:
-x^2-2xy-3x
Step-by-step explanation:
NO LINKS!! Please help me with these problems. Part 10a1
y = √(x - 2)
Answer:
Domain: [2, ∞)Range: [0, ∞)Continuity: Function is continuous on its domain [2, ∞).Minimum point at (2, 0).Increasing function: (2, ∞)Symmetry: Neither as there is no symmetry about the y-axis and no origin symmetry.Step-by-step explanation:
Given function:
[tex]y=\sqrt{x-2}[/tex]
DomainThe domain is the set of all possible input values (x-values).
As the square root of a negative number cannot be taken, the domain of the given function is restricted.
[tex]x-2\geq 0 \implies x\geq 2[/tex]
Therefore, the domain of the given function is [2, ∞).
RangeThe range is the set of all possible output values (y-values).
As the square root of a negative number cannot be taken, the range of the given function is restricted.
Therefore, the range of the given function is [0, ∞).
ContinuityA function f(x) is continuous when, for every value [tex]c[/tex] in its domain:
[tex]\text{$f(c)$ is de\:\!fined \quad and \quad $\displaystyle \lim_{x \to c} f(x) = f(c)$}[/tex]
Therefore, the function is continuous on its domain [2, ∞).
Maximums and MinimumsStationary points occur when the gradient of a graph is zero.
Therefore, to find the x-coordinate(s) of the stationary points of a function, differentiate the function, set it to zero and solve for x.
[tex]\begin{aligned}y & = \sqrt{x-2}\\& = (x-2)^{\frac{1}{2}\\\implies \dfrac{\text{d}y}{\text{d}x} & = \dfrac{1}{2}(x-2)^{-\frac{1}{2}}\\ & = \dfrac{1}{2\sqrt{x-2}}\\\\\dfrac{\text{d}y}{\text{d}x} & = 0\\\implies \dfrac{1}{2\sqrt{x-2}} &= 0\\\dfrac{1}{2} &\neq 0\end{aligned}[/tex]
Therefore, there are no stationary points.
As the domain is restricted and f(x) ≥ 0, the minimum point of the function is at point (2, 0).
Increasing/Decreasing Function[tex]\textsf{A function is \textbf{increasing} when the \underline{gradient is positive}} \implies \dfrac{\text{d}y}{\text{d}x} > 0[/tex]
[tex]\textsf{A function is \textbf{decreasing} when the \underline{gradient is negative}} \implies \dfrac{\text{d}y}{\text{d}x} < 0[/tex]
Increasing
[tex]\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & > 0 \\ \implies \dfrac{1}{2\sqrt{x-2}} & > 0 \\ \dfrac{1}{\sqrt{x-2}} & > 0\\ \textsf{If $\frac{1}{a} > 0$ then $a > 0$}: \\ \implies \sqrt{x-2} & > 0\\ x-2 & > 0\\ x & > 2\end{aligned}[/tex]
Decreasing
[tex]\begin{aligned}\dfrac{\text{d}y}{\text{d}x} & < 0 \\ \implies \dfrac{1}{2\sqrt{x-2}} & < 0 \\ \dfrac{1}{\sqrt{x-2}} & < 0\\ \textsf{If $\frac{1}{a} < 0$ then $a < 0$}: \\ \implies \sqrt{x-2} & < 0\\ \textsf{As $\sqrt{x}\geq 0$, no solution.}\end{aligned}[/tex]
Therefore:
The function is increasing in the interval (2, ∞).Symmetry[tex]\textsf{A function is \underline{even} when $f(x) = f(-x)$ for all $x$.}[/tex]
[tex]\textsf{A function is \underline{odd} when $-f(x) = f(-x)$ for all $x$.}[/tex]
As there is no symmetry about the y-axis (even symmetry) and no origin symmetry (odd symmetry), the symmetry of the function is neither.
Answer:
Domain: [2, ∞)
Range: [0, ∞)
Continuity: Function is continuous on its domain [2, ∞).
Minimum point at (2, 0).
Increasing function: (2, ∞)
Symmetry: Neither as there is no symmetry about the y-axis and no origin symmetry.
Tommy pays $550 dollars for a new cell phone plus $121-dollar monthly fee (f) for data. write an expression for the total expense of his phone?
Answer: C=550+121m
Step-by-step explanation:
A farmer can plow a given field in 11 hours. If his son helps him, they can plow the vehicle together in 7 hours. How many hours would it take his son to plow the field alone? Express your answer as a fraction reduced to lowest terms, if needed
The total number of hours taken by farmer's son to plow the farm is 19 hours.
What is the concept of time and work?Time refers to the duration of any task or activity that occurs or continues.
Work is a process or set of tasks designed to achieve a specific result.
We can define work happening as follows: - If a person A completes a task in X days, the amount of work finished in 1 day is 1/x.Likewise, if a person B finished work in Y days, his work completed in 1 day will become 1/Y.We can conclude from the preceding two points that A and B can complete (1/(X+Y) amount of work in one day. As a result, A and B could really complete the task in X Y/(X+Y) days.For, the given question;
Let F be the number of hours taken by farmer to finish the work.
Let S be the number of hours taken by farmer' son to finish the work.
The amount of work finished in 1 hour by farmer is 1/F = 1/11.
The amount of work finished in 1 hour by farmer's son is 1/S.
The amount of work finished by both in 1 hours is;
1/F + 1/S = 1/7
1/S = 1/7 - 1/F
1/S = 1/7 - 1/11
Simplifying the given term;
1/S = 4/77
or, S = 77/4 = 19.25 hours.
S = 19 hours (fraction reduced to lowest terms)
Thus, the time taken by the farmer's son to complete the plow of field is 19 hours.
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a cuckoo clock has birds that pop out of their nests every 6 minutes and dancers that pop out every 15 minutes. the birds and dancers have just popped out at the same time. when will this happen again in the next 60 minutes?
We get that the birds and the dancers will clock out again in 30 minutes.
We are given that:
a cuckoo clock has birds that pop out of their nests every 6 minutes.
And the dancers that pop out every 15 minutes.
Now, they have popped out the same time. For this to happen again, we will find the LCM of 6 and 15.
6 = 2 × 3
15 = 3 × 5
LCM = 2 × 3 × 5
LCM = 3 × 10
LCM = 30
So, they will pop out again after 30 minutes.
Therefore, we get that the birds and the dancers will clock out again in 30 minutes.
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The perimeter of the triangle below is 73 units. Find the value of x.
Answer:
3x+4x-1+x+2=73
8x+1=73
8x=73-1
8x=72
8x/8=72/8
x=9
Perimeter (p) of a triangle:
[tex]p = a + b + c[/tex]
P = 73 units
To find the value of x
[tex]73 = 3x + 4x - 1 + x + 2[/tex]
→[tex]73 = 8x + 1 \\ 73 - 1 = 8x[/tex]
→[tex]8x = 72[/tex]
→[tex] \frac{8x}{8} = \frac{72}{8} [/tex]
[tex]x = 9[/tex]
In a bag there are 72 candy bars. 40 of them are snickers, 24 of them are milky ways, the rest are Kit Kats.
Answer: 8 kitkats
Step-by-step explanation:
40+24= 64
72-64=8
Answer:
Total candy bars to snickers = 72:40 or simplified 9:5
Ratio of kit kats to milky ways = 8:24 or simplified 1:3
Ratio for kit kats to total candy bars = 8:72 or simplified 1:9
Step-by-step explanation:
72 = 40 + 24 + x
x = 8
1 N b In Fig. R49 b, PT is a tangent at T to circle LMNT such that PT || LN. i Show that ANTL is isosceles. ii Find NTM. T M 498 L 36° P
Answer:
don't know that i'm looking for that to
PLEASE HELP ALGEBRA 2
just do the first 2 or 3
Which graph represents the function h(x)=−x√+2?
Of like f(x)= - √x+2
A b c d
Answer:
use air math
Step-by-step explanation:
hope that helps
Which inequality correctly compares 125%, 0.47, and three and two fifths? 125% < 0.47 < three and two fifths 0.47 < 125% < three and two fifths 0.47 < three and two fifths < 125% three and two fifths < 0.47 < 125%
The inequality that correctly compares the numbers is 0.47 < 125% < three and two fifths
How to determine the inequality that correctly compares the numbers?The numbers are given as:
125%, 0.47, and three and two fifths
Rewrite properly as:
125%, 0.47, and 3.4
Express the percentage as decimal
1.25, 0.47, and 3.4
Reorder the numbers in ascending order
0.47, 1.25 and 3.4
Rewrite as
0.47, 125% and three and two fifths
Include the less than inequality symbol
0.47 < 125% < three and two fifths
Hence, the inequality that correctly compares the numbers is 0.47 < 125% < three and two fifths
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Which of the following is equivalent to l x - 1 l < 5
In the above question the |x| represents the absolute value. |x - 1| < 5 is equivalent to -5 < x - 1 < 5.
What do you mean by absolute value?Algebra usually requires us to be careful about not just size of a value but also its sign. -10 is different than the 10. 3+7 yields a different result than the 3+(-7) . But there are circumstances in which sign doesn’t matter, in mathematics and in real life. Have you ever stumbled stepping on or off the moving walkway? It doesn’t really matter if you’re moving faster or slower than ground surface—it’s the magnitude of difference that makes you lose your balance. Or think of taking long hike—your feet will get just as the sore whether you go to north or south. Direction doesn’t matter, only the distance.
In mathematics, there’s a concept for dealing with the situations where size matters more than sign. It’s called the absolute value. Absolute value of a number is it's value regardless of its sign.
Given,
|x - 1| < 5
|x| this represents absolute value. It is the distance of x from 0, so value of x can be both positive and negative.
⇒ |x - 1| < 5 can be (x - 1) < 5 and -(x - 1) < 5
⇒ -(x - 1) < 5
⇒ (x - 1) < -5
So equivalent of |x - 1| < 5 is -5 < x - 1 < 5
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Answer:
Its C
which is –5 < x – 1 < 5
What is the solution to 3i - 6 = 7i + 1
Answer: i=-1.75
Step-by-step explanation:
3i - 6 = 7i + 1
3i-3i-6=7i-3i+1
-6=4i+1
-6-1=4i+1-1
4i=-7
i=-7/4
i=-1.75
Suppose that $3000 is placed in an account that pays 9% interest compounded each year. Assume that no withdrawals are made from the account. Follow the instructions below. Do not do any rounding. (a) Find the amount in the account at the end of 1 year. (b) Find the amount in the account at the end of 2 years.
Answer: (a) 3270 (b) 6270
Step-by-step explanation:
Formula for compound interest: P (1 + r/100 ) ^n,
where P = principal, r = interest rate, n = number of years
------------------------------------------------------------------------------------------------------------
In question (a),
P = $3000
r = 9%
n = 1
3000 ( 1 + 9/100) ^1 = $3270
------------------------------------------------------------------------------------------------------------
In question (b),
P = $3000
r = 9%
n = 2
3000 ( 1 + 9/100) ^2 = $6270
Ivan has $1098 worth of $12 and $14 stock shares. The number of $14 shares is seven more than
twice the number of $12 shares. How many of each does he have?
Number of 12$ Shares?
Number of 14$ Shares?
Answer:
Number of 12$ Shares? 25
Number of 14$ Shares? 57
Step-by-step explanation:
Let x = number of $12 shares.
Let y = number of $14 shares.
"Ivan has $1098 worth of $12 and $14 stock shares."
12x + 14y = 1098
The number of $14 shares is seven more than twice the number of $12 shares.
y = 2x + 7
We have a system of equations.
12x + 14y = 1098
y = 2x + 7
We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.
12x + 14(2x + 7) = 1098
12x + 28x + 98 = 1098
40x = 1000
x = 25
There are 25 $12 shares.
y = 2x + 7 = 2(25) + 7 = 57
There are 57 $14 shares.
Check:
25 × $12 + 57 × $1`4 = $300 + $798 = $1098
The total value is correct, so the answer is correct.
HELP ME! AND PLSSSS EXPLAIN!
Ariel received so many flowers for her birthday that they wouldn't all fit on her desk. By
lunch, her office was decorated with 7 flower bouquets, 5 of which were rose bouquets.
If Ariel randomly selected 4 bouquets to take home, what is the probability that all of them
are rose bouquets?
Write your answer as a decimal rounded to four decimal places.
The probability that all of them are rose bouquets is 0.143.
How to calculate the probability?It should be noted that this question is about probability without replacement.
The probability of picking a rise bouquet is 5/7. It should be noted that each value decreases since Ariel is selecting 4 bouquets.
The probability that all of them are rose bouquets will be:
= 5/7 × 4/6 × 3/5 × 2/4
= 5/7 × 2/3 × 3/5 × 1/2
= 30/210
= 1/7
= 0.143
The probability is 0.143.
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