Answer:
270 & 30
Step-by-step explanation:
let the number is n,
the equation :
n× 1/9 n= 27(n +1/9 n)
1/9 n² = 27n + 3n
1/9 n² = 30n
1/9n²- 30n = 0
n(1/9n -30)= 0
n = 0 or
1/9n = 30 => n = 30×9 = 270
270 is a number,
the other : 270/9 = 30
2.5 kg of oranges cost $ 1.40, what is the cost of
1 kg of orange?
PLS ANSWER ASAP NO WRONG ANSWERS
Hi there!
Looking at the graph, the first intersection point is clear. The red parabola and blue line clearing intersect at the point (0, -1).
Find the second intersection point by setting the equations of both graphs equal to each other.
Line: y = 3x - 1
Parabola: y = 4x² - 1
Find another intersection point by setting these two equations equal to each other:
4x² - 1 = 3x - 1
Bring all terms onto one side:
4x² - 3x = 0
Factor out x:
x(4x - 3) = 0
Set 4x - 3 to 0 and solve:
4x - 3 = 0
4x = 3
x = 3/4
Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:
y = 3(3/4) - 1
y = 9/4 - 1
y = 5/4
(3/4, 5/4)
1 pump fill resovoir in 60 hrs other 80 hrs other 90 hrs when they are together how long to fill resovoir? Rsm
Answer:
24.83 hours
Step-by-step explanation:
Given that :
Let time taken by pumps be :
Pump A = 60 hours
Pump B = 80 hours
Pump C = 90 hours
Recall :
Rate = 1 / time taken
The rates of the pumps are :
Pump A rate = 1 / 60
Pump B rate = 1/80
Pump C rate = 1/90
Combined rate : 1/60 + 1/80 + 1/90
Combined rate = (12 + 9 + 8) / 720 = 29/720
Combined rate = 29/720
The time taken together will be :
1 / combined rate = 1/(29/720) = 720 / 29 = 24.827 hours
6g+5 =-2(1+2g)
------------------
Answer:
g: -7/10 or -0.7
Step-by-step explanation:
[tex]6g+5=-2\left(1+2g\right)[/tex]
Apply the distributive law:-
[tex]-2\left(1+2g\right)[/tex]
[tex]=-2-4g[/tex]
[tex]6g+5=-2-4g[/tex]
Now, we´ll Subtract 5 from both sides :-
[tex]6g+5-5=-2-4g-5[/tex]
[tex]6g=-4g-7[/tex]
Add 4g to both sides :-
[tex]6g+4g=-4g-7+4g[/tex]
[tex]10g=-7[/tex]
Now, divide both sides by 10:-
[tex]\frac{10g}{10}=\frac{-7}{10}[/tex]
[tex]g=-\frac{7}{10}[/tex]
OAmalOHopeO
Terri is buying some candy at the corner store. There, small candies cost 10 1 point cents each and large ones cost 25 cents each. Terri bought 52 candies and spent $8.05. A system of equations describing this situation could be written in the form below where S represents the number of small candies and L represents the number of large candies. What is the sum of A, B, C and D? *
hi my name how are you home work sind
Find the simple interest on ₹ 4000 at 7.5 p.a. for 3 years 3 months. Also find the amount.
Step-by-step explanation:
it is simple you know
make 3 month into year by 3/12
then solve it using formula
1) Jeffrey has two bags of marbles. One has a 2 green marbles and 3 red marbles. The second bag has a blue and 2 yellow marble. Darren draws one marble from each bag. What are all the possible outcomes? How large is the sample space?
A sample space is the space of all the possible outcomes in this event.
Let's define each outcome as:
(first marble, second marble)
Where the first marble can be green or red.
The second marble can be blue or yellow.
Then the possible outcomes are:
(green, yellow)
(green, blue)
(red, yellow)
(red, blue)
So we have four different outcomes, which means that the sample space has 4 elements.
Notice that the number of marbles of each color does not affect this, these numbers only affect the probability of each one of these possible outcomes.
If you want to learn more, you can read:
https://brainly.com/question/24329720
please answer this!!!!!
Answer: Choice A. 338 meters
Step-by-step explanation:
tan(31°)=203/x
Answer: 338 m
Step-by-step explanation:
Tan 59 = x/203
(1.66)(203)=338m
What is the slope of the line described by the equartion below?
y = -2x + 4
I need help.
Answer:
C. –2
Step-by-step explanation:
The slope is equal to the number multiplying the x
Answer:
C
Step-by-step explanation:
Compare the equation to the line intercept form of a line, y=mx+c. m here represents the slope of the line. So m=-2
Which of the following is a correct sine ratio for the figure?
A) C = 12∕13
B) C = 5∕12
C) C = 5∕13
D) C = 13∕12
Answer:
sin C= 5/13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin C= 5/13
convert solar days into minutes
Answer:
1 Solar day = 86,400 seconds (SI Base Unit)
1 day = 1,440 minutes
Step-by-step explanation:
If need anymore help just ask I'm not really good at explaining but I'll try just comment haha ☺️
95°
6rº + 47°
r_ degrees
Answer:
r = 8°
Step-by-step explanation:
95° = 6r° + 47° ( vertically opposite angles are equal)
6r° = 95° - 47°
6r = 48°
r = 48°/6
r = 8°
Answer: r = 8
Step-by-step explanation:
The angles a VOA vertically opposite angles which means they are congurent and equal
6r + 47 = 95
6r = 95 - 47
6r = 48
r = 48/6
r = 8
please click thanks and mark brainliest if you like :)
square root of 800 to the nearest thousandth
Answer:
28.284
Step-by-step explanation:
d =(√3−(−2√3))2+(−√2−5√2)2
Answer:
99
Step-by-step explanation:
(√3−(−2√3))^2+(−√2−5√2)^2
Subtracting a negative is like adding
(√3+(2√3))^2+(−√2−5√2)^2
Taking the first term
(√3+(2√3))(√3+(2√3))
sqrt(3)^2 +2 sqrt(3) * sqrt(3) +2 sqrt(3) * sqrt(3) + (2 sqrt(3))^2
3 + 2 *3 + 2*3 + 4*3
3 +6+6+12
27
Second term
(−√2−5√2)(−√2−5√2)
-sqrt(2)*-sqrt(2) -sqrt(2)*-5sqrt(2) -sqrt(2)*-5sqrt(2) -5sqrt(2)*(-5sqrt(2))
2 +5*2 +5(2) +25(2)
2+10+10+50
72
Add the two terms together
27+72
99
Answer:
d = 6(√3 - 2√2)
Step-by-step explanation:
d = (√3 - (-2 √3) * 2 + (-√2 - 5√2) * 2
d = (√3 + 2√3) * 2 + (-√2 - 5√2) * 2
d = 3√3 * 2 + (-6√2) * 2
d = 6√3 + (-12√2)
d = 6√3 - 12√2
d = 6(√3 - 2√2)
According to the partial construction shown, what is the next step in constructing a line perpendicular to a point on the line?O Place compass at point D, and draw an arc that intersects the arc above overleftrightarrow DF O Place compass at point F, and draw an arc that intersects the arc above overline DF O.Place compass at point P, and draw an arc above overline DF O Place compass at point P, and draw an arc below overline DF
Answer:
Place compass at P and, with compass set to segment AB, draw an arc that intersects line PA 2nd answer.
Step-by-step explanation:
Factor 2x2c2 + 3xc2 − 35c2. Show your work.
Answer:
c²(x + 5)(2x - 7)Step-by-step explanation:
2x²c² + 3xc² - 35c² =c²(2x² + 3x - 35) =c²(2x² + 10x - 7x - 35) =c²(2x(x + 5) - 7(x + 5)) =c²(x + 5)(2x - 7)[tex]\\ \sf\longmapsto 2x^2c^2+3xc^2-35c^2[/tex]
Take c^2 common[tex]\\ \sf\longmapsto c^2(2x^2+3x-35)[/tex]
Factor the brackets[tex]\\ \sf\longmapsto c^2(2x^2+10x-7x-35)[/tex]
[tex]\\ \sf\longmapsto c^2(2x(x+5)-7(x+5))[/tex]
[tex]\\ \sf\longmapsto c^2(2x-7)(x+5)[/tex]
Evaluate C(6, 3)
120
720
20
Answer:
20
Step-by-step explanation:
C(6,3) = 6!/[3!(6-3)!]
= 20
how do i rename 2/7 and 10/21 and whats the most common denominator for them
The most common denominator for them is the LCM which is 21
Now
2/7 = 2/7×3/3
= 6/21
Therefore 6/21 and 10/21
Must click thanks and mark brainliest
Look for a pattern in the first three diamonds below. For the fourth diamond, explain how you could find the missing numbers if you know the two numbers
Answer:
See below.
Step-by-step explanation:
The top number is the product (multiplication) of the two side numbers. The bottom number is the sum (addition) of the two side numbers.
I'll do problem a as an example:
Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.
K(6, 4), L(-6, 4)
9514 1404 393
Answer:
y = 4
Step-by-step explanation:
The given points are on the horizontal line ...
y = 4
This is the standard-form equation of that line.
Question 5 10 pts Which function represents the inverse of f(x) = (x + 6)2 - 5? of 1(1) = V1 + 5 - 6 of '(x) = (x + 5)2 - 6 of '(x) = V1 – 6 + 5 Of '(x) = (x + 6 – 5
Answer:
f(x)^-1(x) =sqrt(x+5) -6
Step-by-step explanation:
f(x) = (x + 6)^2 - 5
y = (x + 6)^2 - 5
Exchange x and y and solve for y
x = (y + 6)^2 - 5
Add 5 to each side
x+5 = (y + 6)^2 - 5+5
x+5 = (y + 6)^2
Take the square root of each side
sqrt(x+5 )= sqrt( (y + 6)^2 )
sqrt(x+5 )=(y + 6)
Subtract 6 from each side
sqrt(x+5 ) -6=y + 6-6
sqrt(x+5) -6 = y
Given m|n, find the value of x.
(6x+9)
(4x-19)
Answer:
Submit Answer
attempt i out of 2
I NEED HELP PLS
Answer:
x = 19
Step-by-step explanation:
The angles sum are complementary so they will sum to 180
(6x+9) +(4x-19) = 180
Combine like terms
10x - 10 = 180
Add 10 to each side
10x-10+10 =180+10
10x =190
Divide by 10
10x/10 = 190/10
x = 19
A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an area 46m2. He knows that the base must be 1 less than 2 times the height. If the base is represented by 2x-1 and height equals x. Find the equation that correctly shows the area of the triangle.
Answer:
base = 3x - 1
height = x
area of triangle = (1/2)bh
22 = (1/2)(3x-1)(x)
44 = (3x-1)(x)
44 = 3x^2-x
0 = 3x^2-x-44
0 = 3x^2-12x+11x-44
0 = (3x^2-12x)+(11x-44)
0 = 3x(x-4)+11(x-4)
0 = (x-4)(3x+11)
x = {-11/3, 4}
throw out the negative solution (extraneous) leaving
x = 4 m (height)
.
Base:
3x - 1 = 3(4) - 1 = 12 - 1 = 11
Step-by-step explanation:
I hope it will help you
Match the equation on the left with the correct solution on the right.
1) What is the common difference of the arithmetic sequence 5, 8, 11, 14?
Answer:
The common difference of the sequence 5,8,11,14 is 3.
Answer:
the answer is 3
Step-by-step explanation:
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14, therefore the common difference of the arithmetic sequence is three.
SOMEONE HELP ME PLEASE
For the given question,
Total number of outcomes
= 6 (i.e. 1, 2, 3, 4, 5 and 6)
Number of favourable outcomes
= 4 (i.e. 3, 4, 5, 6)
So,
[tex]P = \frac{Number \: of \: favourable \: outcomes}{Total \: number \: of \: outcomes} \\ = > P= \frac{4}{6} \\ = > P = \frac{2}{3} \\ = > P = 0.6666......[/tex]
a car averaged 72 kph .on a trip if the car travelled for 9 hours how far did it go
Answer:
648 km
Step-by-step explanation:
distance travelled= speed * time
distance= 72kph * 9 hours
distance= 648 km
[tex]71 \times 3 + 96 - 5 \div 3 \times 96 + 8[/tex]
thanks.............
:)
;)
Answer:
157
hope it help
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Find the missing segment in the image below
Answer:
again it has a ratio
Step-by-step explanation:
follow this steps.
firstly look at the side and you got the ratio 24/16
secondly write 42/? and multiply by 24/16
the answer is ?*24=42*16 and divide it by 8 and write again ?*3=42*2 and finally the answer is ?=28
Rectangle KLMN has vertices K(-5,6), L(-2,9), M(6, 1), and N(3,-2). Determine and state the coordinates of the point of intersection of the diagonals.
Answer:
(0.5,3.5)
Step-by-step explanation:
First, we can draw the image, as shown. The diagonals in the rectangle are the following lines:
from (-2,9) to (3,-2)
from (-5, 6) to (6,1)
To find where they intersect, we can start by making an equation for the lines. For an equation y=mx+b, m represents the slope and b represents the y intercept, or when x=0
For the first line, from (-2,9) to (3,-2), we can calculate the slope by calculating the change in y/change in x = (y₂-y₁)/(x₂-x₁). If (3,-2) is (x₂,y₂) and (-2,9) is (x₁,y₁), our slope is
(-2-9)/(3-(-2)) = -11/5
Therefore, our equation is
y= (-11/5)x + b
To solve for b, we can plug a point in, like (3,-2). Therefore,
-2=(-11/5)*3+b
-2=-33/5+b
-10/5=-33/5+b
add 33/5 to both sides to isolate b
23/5=b
Our equation for one diagonal is therefore y=(-11/5)x+23/5
For the second line, from (-5, 6) to (6,1), if (6,1) is (x₁,y₁) and (-5,6) is (x₂,y₂), the slope is (1-6)/(6-(-5)) = -5/11 . Plugging (6,1) into the equation y=(-5/11)x+b, we have
1=(-5/11)*6+b
11/11 = -30/11 + b
add 30/11 to both sides to isolate b
41/11 = b
our equation is
y = (-5/11) x + 41/11
Our two equations are thus
y = (-5/11) x + 41/11
y=(-11/5)x+23/5
To find where they intersect, we can set them equal to each other
(-11/5)x+23/5 = y = (-5/11) x + 41/11
(-11/5)x + 23/5 = (-5/11)x + 41/11
subtract 23/5 from both sides as well as add 5/11 to both sides to make one side have only x values and their coefficients
(-11/5)x + (5/11)x = 41/11-23/5
11*5 = 55, so 55 is one value we can use to make the denominators equal.
(-11*11/5*11)x+(5*5/11*5)x=(41*5/11*5)-(23*11/5*11)
(-121/55)x+(25/55)x = (205/55) - (253/55)
(-96/55)x = (-48/55)
multiply both sides by 55 to remove the denominators
-96x=-48
divide both sides by -96 to isolate x
x=-48/-96=0.5
plug x=0.5 into a diagonal to see the y value of the intersection
(-11/5)x + 23/5 = y = (-11/5)* 0.5 + 23/5 = 3.5
