The sum of two real numbers is 8 and their product is 14. What is the sum of their reciprocals?
Answer:
Step-by-step explanation:Let our two numbers be a and b . Then we can see that a+b=8 and ab=15 . Now consider
(a+b)3=a3+3a2b+3ab2+b3 by the binomial expansion. Now we have all the information to solve this, observe since a+b=8 and ab=15 . We have
(8)3=a3+3ab(a)+3ab(b)+b3
a3+b3+3ab(a)+3ab(b)=83
a3+b3+3ab(a+b)=83
a3+b3=83−3ab(a+b)
a3+b3=83−3(15)(8)=512−360=152
You can also observe that 3 and 5 fulfill those conditions so, then 33+53=27+125=152 . Which is our result.
plz do this ill mark brainly
Answer:
3. markup: $150
selling price: $300
4. markup: $19.20
selling price: $67.20
5. markup: $55
selling price: $165
6. markup: $90
selling price: $450
7. markup: $3.75
selling price: $16.25
8. markup: $7.14
selling price: $27.54
Step-by-step explanation:
To find the markup of an item you multiply the initial value of the item by the percentage it's being marked up by. To find the selling price, you add the markup to the initial value. Let's use question 3 as an example:
3. The recliner is being marked up by 100%. To find the markup, we can convert 100% into decimal form and then multiply it by the initial value 150:
100% = 1
150 * 1 = 150
The markup is 150.
To find the selling price we add the markup to the initial value:
150 + 150 = 300
The selling price is 300.
I applied this method to all of the questions.
Help find the missing lengths round to nearest tenth
Answer:
33.4
Step-by-step explanation:
tanα = [tex]\frac{opp}{adj}[/tex]→[tex]tan 50^{o} = \frac{x}{28}[/tex]
x = 28 tan 50° = 33.4
Answer:
The value of missing x = 33.37 units
Step-by-step explanation:
Given
Ф = 50°
We know that
tan Ф = opposite/adjacent
Here:
opposite = x
adjacent = 28
so
tan Ф = opposite/adjacent
tan 50 = x/28
x = 28 × tan 50
=33.37
Therefore, the value of missing x = 33.37 units.
Please help with this as soon as you can. Really need help and no idea how to do it.
Answer:
DE, BC, BA, CA
Step-by-step explanation:
basically just find the ones that do not cross and those are parellel.
Factorize 27p²x²-48y²
Answer:
3(3px + 4y)(3px - 4y)
Step-by-step Explanation:
This is the answer because:
1) We can factor using the difference of squares formula.
2) a^2 − b^2 = (a + b) (a − b) where a = 3px and b = 4y .
Hope this helps!
Which equation represents a line that is parallel to the line whose equation is y=-3x?
A) 4x+2y=5
B) 2x+4y=1
C) y=3-4x
D) y=4x-2
What is the value of x?
6.7578x=13
276
175
18
53
O
Answer:
Step-by-step explanation:
6.7578 *x = 13 divide both sides by 6.7578
[tex]\frac{6.7578}{6.7578} *x = \frac{13}{6.7578}[/tex]
x= 1.923
Please help me with this I think is a yes or no question i will give you all my points please help????
Answer:
YES i think
Step-by-step explanation:
Answer:
5. Yes 6. No 7. No 8. Yes 9. No 10. No
For graphs, if two points are in the same vertical line, its not a function. For the bubble chart, if an x coordinate points to more than one y coordinate, its not a function, and for just some written out coordinates, if any of the x coordinates repeat, its not a function
10 decreased by twice a
Answer:
in simplest terms 10 decreased by twice A can be written as
10-2a
Step-by-step explanation:
Equa
Problem 1
3z - 4 = 52 - 12
Answer:
z=44/3
Step-by-step
Subtract the numbers 52-12=40
3z-4=40
Add 4 to both sides
3z-4+4=40+4
SImplify
3z=44
Divide both sides by 3
3z/3 = 44/3
z=44/3 or decimal form= 14.66
write an equation for which 0 is a solution
Answer:
x-y=0
Hope this helped
Which linear inequality is represented by the graph?
2x + 4
+ 3
y = 2 x + 3
y: 2x + 3
Answer:
C
Step-by-step explanation:
Solve for m.
-7m + -2 = -72
m =
Answer:
m=10
Step-by-step explanation:
add 2 on both sides then divide both sides by -7
Answer:
10
Step-by-step explanation:
-7m-2=-72
-7m-2+2=-72+2
-7m=-70
-7m/-7=-70/-7
m=10
work out the value of 7^4
Answer:
2401
Step-by-step explanation:
7^4
7 • 7 • 7 • 7
49 • 49
2401
Answer:
2401
Step-by-step explanation:
Pretty sure this is the answer. Have a good day!
find the greatest common factor of 26 and 14
PLEASE HELP ME PLEASE
Which inequality is true?
A. 1/2 < 1/3
B. 3/4 > 2/3
C. -1/4 < - 2/3
D. -1 > 3/4
Answer:
Option B. 3/4 > 2/3 is the correct answer.
Step-by-step explanation:
Lets look at the options one by one
A. 1/2 < 1/3
This inequality converts into 0.5<0.33 which is false.
B. 3/4 > 2/3
This simplifies to 0.75>0.666 which is true.
C. -1/4 < - 2/3
This converts to -0.25<-0.666 which makes the inequality false.
D. -1 > 3/4
This converts to -1>0.75 which makes the inequality false.
Hence,
Option B. 3/4 > 2/3 is the correct answer.
Answer:
Option C. -1/4 < - 2/3 is the correct answer.
-1/4 equals -3/12
-2/3 equals -8/12
So, it is -2/3 is greater
Which number is the least?
0 7.8
O 7.9
O 7.87
O 7.78
Answer:
7.78
Step-by-step explanation:
Answer:
O 7.78
Step-by-step explanation:
Have a wonderful day:)
A firm producing poultry feeds finds that the total cost C(x) in dollars of producing and selling x units is given by
C(x) - 20x+100. Management plans to charge $24 per unit for the feed. How many units must be sold for the firm to break even?
Answer:
Break-even point in units= 25
Step-by-step explanation:
Giving the following information:
Fixed cost= $100
Unitary variable cost= $20
Selling price per unit= $24
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 100 / (24 - 20)
Break-even point in units= 25
help fast thank you ;)
Answer:
I believe the answer is C. Rotation
Step-by-step explanation:
I used google to look up a example for each answer and this image looks to be a Rotation
A biking track has a length of 3168 feet (ft). How long is this in miles (mi)?
First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.
Answer:
0.6 miles
Step-by-step explanation:
Given that,
A biking track has a length of 3168 feet (ft).
We need to find the distance in miles.
We know that, 1 mile = 5280 foot
1 feet = (1/5280) mile
Now, we can find the distance in miles by multiplying 3168 by (1/5280).
[tex]d=3168 \times \dfrac{1}{5280}\\\\=0.6\ \text{miles}[/tex]
So, the distance covered is 0.6 miles.
Find the least number that when divided by
60. 120 and 180 leaves a remainder 5 in each case.
Answer:
Solution :-
To find the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case, we have to find the L.C.M. of 6, 15 and 18 and then add 5 in that number.
L.C.M. of 6, 5 and 18
6 = 2*3
15 = 3*5
18 = 2*3*3
L.C.M. of 6, 15 and 18 = 2*3*3*5 = 90
Now,
5 + 90 = 95
Hence, 95 is the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case.
Let us check our answer.
1) 95/6
Quotient = 15
Remainder = 5
2) 95/15
Quotient = 6
Remainder = 5
3) 95/18
Quotient = 5
Remainder = 5
So, the required number is 95.
Answer.
Step-by-step explanation:
Find the horizontal [A] and vertical [B] components of the given vector. Round to four places.
Answer:
The equation of the horizontal component is:[tex]v_x=v\:cos\:\theta \:[/tex]
[tex]=-10.7294[/tex]
The vertical component will be:[tex]v_y=v\:sin\:\theta \:\:[/tex]
[tex]=-16.5218[/tex]
Step-by-step explanation:
Let 'v' be the vector
The equation of the horizontal component is:
[tex]v_x=v\:cos\:\theta \:[/tex]
The equation of the vertical component is:
[tex]v_y=v\:sin\:\theta \:\:[/tex]
The magnitude of a vector 'v' is expressed as 'v'.As
Magnitude = v = 19.7Ф = 237°The horizontal component will be:
[tex]v_x=v\:cos\:\theta \:[/tex]
[tex]=\left(19.7\right)\cos \left(237^{\circ \:}\right)[/tex]
[tex]=-10.7294[/tex]
The vertical component will be:
[tex]v_y=v\:sin\:\theta \:\:[/tex]
[tex]=19.7\sin \:\left(237^{\circ \:\:}\right)[/tex]
[tex]=-16.5218[/tex]
show work and ill credit
Answer:
4 ≥ g
Step-by-step explanation:
Since 4 x 5=20 I started there and went one less because of the .95¢
so I started with the equation 4.95 x 4 which got the product $19.80 and I know that's as high as we can go within 20.
We also know she could play less than 4 games and stay within budget so that's why I used the ≥. You could also divide 20 by 4.95 for a quick and easy answer :)
Simplify: y - 4 = 5x - 5
Answer:
x= 1/5y +1/5 have a good day whoever you are :D
Step-by-step explanation:
Step 1: Flip the equation.
5x−5=y−4
Step 2: Add 5 to both sides.
5x−5+5=y−4+5
5x=y+1
Step 3: Divide both sides by 5.
5x /5 = (y+1) /5
x= 1/5y +1/5
Answer:
5x-y=-1
Step-by-step explanation:
y-4=5x-5
take 5x on the other side and also take -4 on the other side . the numbers must change sines when they go on there other side
-5x+y=-5+4
-5x+y=-1
divide both sides by -1
5x-y=1
Now that you have described several mappings, consider a more general example. Suppose you are given two shapes and you must show that they are congruent using transformations. If the orientation of these two shapes is the same, which type(s) of transformations should you use to show that they are congruent? Why?
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What is the charge for 400 text messages? A. $50 B. $ 180 C. $90 D.$100
Answer:80 cent
Step-by-step explanation:
Help!!
The Wonder Wings Insect Museum sells bug-shaped notebooks in their gift shop. Last month, they sold 35 butterfly notebooks and 55 ladybug notebooks. The notebooks were so popular that they want to order more this month. They plan to order 110 ladybug notebooks this month. If they keep the same ratio, how many butterfly notebooks should they order this month?
Answer:
70
Step-by-step explanation:
The number of butterfly notebooks should they order this month approximately will be 43.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The Miracle Wings Bug Exhibition hall sells bug-formed scratch pads in their gift shop. Last month, they sold 35 butterfly notepads and 55 ladybug journals.
The ratio of butterfly notebooks and ladybug notebooks will be given as,
⇒ 35 / 55
⇒ 7 / 11
The scratch pad was well known to the point that they believe should arrange more this month. They intend to arrange 110 ladybug notepads this month.
Let 'x' be the number of butterfly notebooks. Then the number of ladybug notebooks will be (110 - x).
If they keep the same ratio. Then the value of 'x' is given as,
x / (110 - x) = 7 / 11
11x = 770 - 7x
18x = 770
x = 42.77
The number of butterfly notebooks should they order this month approximately will be 43.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
There are 20 cities in the County of Newton. Their populations are shown in the bar chart below. The average population of all the cities is indicated by the horizontal dashed line. Which of the following is closest to the total population of all 20 cities?
Answer:
The answer is C/85,000
Step-by-step explanation:
A wheel of radius 10 inches is rotating 20°/sec. What is the linear speed in in/sec and the angular speed in RPM? (Round your answers to three decimal places) ____ in/sec ____ RPM What is the angular speed in radians/sec? ____ radians/sec
9514 1404 393
Answer:
a) 3.491 in/s
b) 3.333 RPM
c) 0.349 rad/s
Step-by-step explanation:
We know the arc length for a given radius and angle is ...
s = rθ
so the linear speed along the arc is ...
s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s
__
The rotation rate of 20°/s is an angular velocity of ...
(20°/s)(60s/min)(1 rev/360°) = 3.333 RPM
__
In the first part, we found the angular speed to be π/9 radians/sec. That's about ...
π/9 rad/s ≈ 0.349 rad/s
What is the slope of(20, 8) (19, 10)
Answer:
-2
Step-by-step explanation:
8-10 = -2
20-19 = 1
-2/1 = -2
Answer:
-2
Step-by-step explanation:
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex] Where y2 is 8 and x2 is 20 and y1 is 10 and x1 is 19
So 8 - 10 = -2
And 20 - 19 = 1
-2 divided by 1
It is -2.
HOPE THIS HELPED