Answer:
-4/15
Step-by-step explanation:
Mathematically, we know that;
alpha= -b/a and beta = c/a
a refers to the coefficient of the x^2 which is 2
b is the coefficient of x which is 3
c is the last number which is 5
alpha = -b/a = -3/2
beta = c/a = 5/2
1/alpha = -2/3
1/beta = 2/5
so we have the sum as;
-2/3 + 2/5
= -5(2) + 3(2)/15 = (-10 + 6)/15 = -4/15
If < A and < B are supplementary, and < A = 3x - 9 degrees, and < B = 2x + 14 degrees, find x.
Select one:
a. 19
b. 84
c. 35
d. 24
Answer:
Option c, 35
Step-by-step explanation:
<A and <B are supplementary,
so, <A+<B = 180
or, 3x-9+2x+14=180
or, 5x+5=180
or, 5x=175
or, x=35
Answered by GAUTHMATH
the green line below _____ check all that apply
Answer:
A, C, and D
Step-by-step explanation:
Answer:
the answer is A, C And D
Step-by-step explanation:
ADC
true or false,the diagonal of a rectangle is longer than any of its sides. I want the answer with explanation If u don't I will report
Answer:
True
Step-by-step explanation:
Yes! The diagonal of a rectangle is longer than any of its sides.
Consider PQRS as a rectangle. It is known to us that each interior angle of a rectangle measures 90°. Now, after making the diagonal of the rectangle PQRS, the rectangle has been split into 2 right-angled triangles i.e, ∆PRS and ∆RPQ. In the right angled triangle, hypotenuse is always the longest side. Here, in ∆PRS and ∆RPQ, the bases are RS and QP ; perpendiculars are PS and QR and both triangles' hypotenuse is PR. As, hypotenuse is always the longest side, so PR will be longer than RS,QP,PS and QR. Clearly, the diagonal of a rectangle is longer than any of its sides.
Please help me... I stink at math
Answer:
142 [tex]cm^3\\[/tex]
Step-by-step explanation:
You have to do [tex](7*5)+(5*3)+(7*3)+(7*3)+(5*7)+(3*5)[/tex].
This equals 142 [tex]cm^3\\[/tex].
Answer:
The answer is 142cm
Step-by-step explanation:
If one angle equals 34º, then the measure of its complement angle is 56º.
true or false
Answer:
true
Step-by-step explanation:
complementary angles equal 90° and 34+56 is 90°
Answer:
True
Step-by-step explanation:
Complement angle means that the two angles add up to 90 degrees. We can check this by adding the two given angles together:
34+56=90
90=90
This means that this is true.
I hope this helps and have a great day!
A room can just store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice. How many cases of soya bean drink have the same volume as one cases of fruit juice.
Answer:
2 cases of soya bean milk will have the same volume as 1 case of fruit juice.
Step-by-step explanation:
Let the case of soya beans drink be x and let the case of fruit juice be y
We are told that the room can store either 10 cases of soya beans drink and 8 cases of fruit juice or 4 cases of soybeans drink and 11 cases of fruit juice.
This means that;
10x + 8y = 4x + 11y
Rearranging, we have;
10x - 4x = 11y - 8y
6x = 3y
Thus;
y = 6x/3
y = 2x
This means that 2 cases of soya bean milk will have the same volume as 1 case of fruit juice.
work out the area of the triangle 35.7m 17m 28.9m 13.6m
Answer:
N/A
Step-by-step explanation:
the question is not in depth could you add a photo
through: (4,- 4), perp. to y = -4x - 2
Answer:
Step-by-step explanation:
y = -4x - 2
slope of line = -4
slope of perpendicular to line = ¼
Point-slope equation for line of slope ¼, passing through (4,-4):
y+4 = ¼(x-4)
In slope-intercept form:
y = ¼x - 5
A bottling company marks a 0 for every bottle that comes out correct and a 1 for every defective bottle. Estimate the probability that the next bottle is defective
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]0 \to[/tex] Correct
[tex]1 \to[/tex] Defective
Required
The probability that the next is defective
The question is incomplete because the list of bottles that came out is not given.
However, the formula to use is:
[tex]Pr = Num ber\ o f\ d e f e c t i v e \div T o t a l\ b o t t l e s[/tex]
Take for instance, the following outcomes:
[tex]0\ 1\ 0\ 0\ 0\ 1\ 0\ 0\ 1\ 1\ 0\ 0\ 0\ 1[/tex]
We have:
[tex]Total = 14[/tex]
[tex]D e f e ctive = 9[/tex] --- i.e. the number of 0's
So, the probability is:
[tex]Pr = 9 \div 14[/tex]
[tex]Pr = 0.643[/tex]
Answer:
1/20
Step-by-step explanation:
000000000000100000
It is asking the probability of a defective bottle
there is one defective bottle out of 20
NO LINKS!!! JUST ANSWER PLS AND ILL GIVE BRAINLIEST
Could anyone help me out with this?
Answer: they are abt the same its all abt percentage now- Pitcher A
Step-by-step explanation: more water lessens the strength
Help and explain !!!!!
Answer:
yeah the answer is one of those just pick one
Choose the correct answer from the given four options:The 21st term of the AP whose first two terms are –3 and 4 is
17
-137
137
127
Answer:
137
Step-by-step explanation:
given AP
t1 = -3 and t2 = 4
using,
d=t1-t2
=4-(-3)
=7
And,
tn=a+(n-1)d
t21=(-3)+(21-1)(7)
t21=137
Answer:
B) -137
Step-by-step explanation:
a=a1=−3,a2=4
∴d=a2−a1=4−(−3)=4+3=7
Find the area of a rectangle with a length of 10 cm and a width of 7 cm.
70 cm
17 cm2
70 cm2
17 cm
Which of the following is TRUE * 1 point
(+6) x (-4) = -10
(+32) ÷ (˗8) = +4
(-5) - (-11) = + 6
(-7) + (+9) = -16
Bus A and Bus B leave the bus depot at 7 am.
Bus A takes 30 minutes to complete its route once and bus B takes 50 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Answer:
9:30 am
Step-by-step explanation:
We can make a chart and keep filling it in until we see the same time in both columns.
Bus A Bus B
7:00 7:00
7:30 7:50
8:00 8:40
8:30 9:30
9:00 10:20
9:30
Answer: 9:30 am
We can also use the least common multiple of 30 and 50.
We need to find the smallest number that is a multiple of both 30 and 50.
30 = 2 * 3 * 5
50 = 2 * 5^2
LCD = 2 * 3 * 5^2 = 150
The first time the buses will be at the depot together after 7:00 am is 150 minutes later. 150 minutes = 2 hours 30 minutes.
7:00 am + 2 hours and 30 minutes = 9:30 am
Answer: 9:30 am
Answer:
they never get back together bus b is always behind
Step-by-step explanation:
A retailer incurs a fixed cost of N$ 500 when purchasing sugar for his stock. He pays N$ 10.00 per packet which he resells at N$ 15.00 per packet. How many packets should he purchase and sell in order to break even?
Answer:
100 packets
Step-by-step explanation:
Given :
Cost = fixed cost + variable cost
Fixed cost = $500
Variable cost = $10
Sales price = $15
Let :
Number of packets = x
To break even :
fixed cost + variable cost = sales made
500 + 10x = 15x
500 = 15x - 10x
500 = 5x
x = 500 / 5
x = 100
100 packets
Can someone please help me with this?
Answer:
p = 1.2
Step-by-step explanation:
Bring 3.9 to the other side of the equation.
-10.9p = -13.08
p = 1.2
please help me with my work
When you are multiplying by a fraction, you have to flip the sign around and the fraction around. Fiona thought she was dividing in half but in reality, she should be multiplying by 2. 1/2 flipped around is 2/1 which equals 2. And since you switch the division sign to a multiplication sign, the new equation will be 48x2. Which equals 96
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?
will give brainlist
Answer:
y=0.3x-2
Step-by-step explanation:
first find the gradient
m=y2-y1/x2-x1
m=0-(-2)/6-0
m=0.3
then use this equation
y-y1=m(x-x1)
y-(-2)=0.3(x-0)
y+2=0.3x-0
y=0.3x-2
By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?
Answer:
$8
Step-by-step explanation:
This system of equations relates the ticket price, in dollars, for seats in the silver (x) and gold (y) sections at a rock concert. x + 2y = 82 3x + y = 96 By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?
Two equations are presented in this question
x + 2y = 82 equation 1
3x + y = 96 equation 2
Multiply equation 1 by 3
3x + 6y = 246 equation 3
subtract equation 2 from 3
5y = 150
y = 30
Substitute for y in equation 1
x + 2(30) = 82
x = 82 - 60
x = 22
difference in price = 30 - 22 = $8
x =
help with this plzzzz, i need perimeter and area plzzzz steps if possible will mark brainlest!!!!!!!!!!!!!!!!!!!!!
Answer:
Area: 125
Perimeter: 60
Step-by-step explanation:
I got this answer by calculating the area and perimeter. To find the area, multiply length x width. To find the perimeter, you have to add your length and width two times.
Someone please help, this is the last question on my assignment, and I really need to get it right! I'll mark brainliest for the best answer ^-^
Answer:
x + 2
Step-by-step explanation:
im sure its the right answe
A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a
side of the water tank.
2 meters 3 meters
1/2 meters
1/3 meters
Answer:
2 meters.
Step-by-step explanation:
We know that a cube of sidelength L has a volume:
V = L^3
Here, we know that the volume of water that the cube can hold is:
(1000/125) m^3
Then the volume of our cube is exactly that:
V = (1000/125) m^3
Then we have the equation:
L^3 = (1000/125) m^3
Which we can solve for L
L = ∛((1000/125) m^3 ) = (∛1000/∛125) m
Where we used that:
∛(a/b) = ∛a/∛b
Solving the cubic roots, we get:
L = (10/5) m = 2m
The length of the side of the water tank is 2 meters.
What is the domain of this relation?
(16, 1)
(0, 19)
(7, –19)
Answer:
{ 0 , 7 , 16 }
Step-by-step explanation:
Domain = set of x values
(16,1) x = 16
(0,19) x = 0
(7,-19) x = 7
The set of x values ( domain ) would be
{ 0 , 7 , 16 }
Note: the values of the domain should be put in order from least to greatest
The length of a side of an equilateral triangle is 40 centimeters.
What is the length of the altitude of the triangle?
Answer:
34.64 cm
Step-by-step explanation:
sin 60 = [tex]\frac{x}{40}[/tex]
sin 60 (40) = x
34.64 = x
equilateral triangles have 60° angles.
sin Ф = [tex]\frac{opposite}{hypotenuse}[/tex]
hypotenuse is 40. All sides are 40.
x = opposite or height of triangle.
Alexandra finished 3/5th of her work. What percentage of work did she complete?
60 percent
Step-by-step explanation:
Covert 3/5th into percentage so the answer will be 60.
#CarryOnLearningVicki and Tamra are working on their math homework together. Vicki has worked p problems, and Tamra has worked 4 times as many problems as Vicki. The expression shows how many problems they have worked altogether.
Answer:
p + 4p
5p
Step-by-step explanation:
Problems Vicki solved = p
Tamra worked 4 times as many problems as Vicki = 4 x p = 4p
total problems solved by both of them =4p + p
= 5p
state the square root of 53-12root10
Answer: ~15.05267 (im not sure though i just used a calculator)
Help me please guys
Answer:
m = 5, n = - 1
Step-by-step explanation:
Given
x² + 4x - 5
Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (+ 4)
The factors are + 5 and - 1 , since
5 × - 1 = - 5 and 5 - 1 = + 4 , then
x² + 4x - 5 = (x + 5)(x - 1)
with m = 5 and n = - 1