Step-by-step explanation:
{2x+8y=14
{216x-4y=14
{x+4y=7
{216x-4y=14
217x=21
x=3/31
2*3/31+8y=14
y=107/62
(x,y)=(3/31, 107/62)
2*3/31+8*107/62=216*3/31-4*107/62=14
14=14=14 since all of the equalities are true the order pair is the solution of the system (x,y)=(3/31, 107/62)
hope this helps :)
which point is an x-intercept of the quadratic function
f(x)=(x-8)(x+9) ?
Answer:
(0, 8)
Step-by-step explanation:
i just got this question
Answer:
(-9,0)
Step-by-step explanation:
To find the x intercept, set y=0 and solve for x
f(x) = (x-8) (x+9)
0 = (x-8) (x+9)
Using the zero product property
x-8 =0 x+9=0
x=8 x=-9
(8,0) (-9,0) are the x intercepts
Pengelola layanan air minum di desaku membuat tempat penampungan air di dataran tinggi agar air dapat menjangkau seluruh desa. Tempat penampungan tersebu berbentuk kubus dengan panjang rusuk 8 meter. Jika tempat penampungan itu penuh, berapa liter air yang tertampung?
Answer:
The shelter can contain 512 cubic meters of water.Step-by-step explanation:
This question can be translated to:
"The manager of the drinking water service in my town creates a water tank in the highlands so that the water can reach the entire town. The cube-shaped shelter is 8 meters long. If the shelter is full, how many liters of water can it contain?"
As you can observe, the volumetric form is a cube with 8 meters long each edge.
We know the volume of a cube is defined as
[tex]V=l^{3}[/tex]
Where [tex]l=8 \ m[/tex], replacing this value, we have
[tex]V=(8 \ m)^{3} \\V=512 \ m^{3}[/tex]
Therefore, the shelter can contain 512 cubic meters of water.
The price of a watch was increased by 20% to £162. What was the price before the increase?
Answer:
= £135
Step-by-step explanation:
Original price = 100%
Percentage increase = 20%
New price = 100% + 20% = 120%
If 120% = £162
What about 100% = ?
= (100 x 162) ÷ 120
= 16200 ÷ 120
= £135
Answer:
sh.129.60
Step-by-step explanation:
20%...€162
€162 times 80 over 100
€81 times 8....over 5
€648 divide 5
......ans...... €129.60
what’s the missing number ?
Answer:
84
Step-by-step explanation:
One way to solve proportions is to cross multiply. If we name the unknown value x, then we can see that:
2x = 12(14)
2x = 168
x = 84
Another way to solve proportions is to ask, what number did you multiply the first numerator by to get the second numerator. In this case, what do you have to multiply 2 with to get 14. The answer is 7, so that means you must also multiply the first denominator by 7 to get the second denominator, or in this case, the unknown value. 12 x 7 = 84, so the missing number is 84.
Hope this helped! :)
Sorin hits a cricket ball straight up into the air. After 1.5s, the ball is falling straight down with a speed of 6.5 m/s. We want to find the initial vertical velocity of the ball. We can ignore air resistance. Which kinematic formula would be most useful to solve for the target unknown?
Step-by-step explanation:
We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.
We want to find the initial vertical velocity of the ball.
The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,
[tex]v=v_o +at[/tex]
Here, v = -6.5 m/s, t = 1.5 s and a = -g
[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]
So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).
What two numbers have a sum of 191 and a difference of 63
Answer:
Step-by-step explanation:
a+b=191
a-b=63
i sum these
a+b+a-b=191+63
2a=254
a=254/2
a=127
b=191-127
b=64
Answer:
127 and 64
Step-by-step explanation:
To solve this, we can set up a system of equations.
We can name the first number x and the second number y.
x+y=191
x-y=63
We can use elimination to eliminate the y variable.
We do this by adding the equations together
x+y=191
+ x-y=63
_________
2x=254
Divide both sides by 2.
x=127
Now we can plug that in to find y.
x+y=191
127+y=191
Subtract 127 from both sides.
y=64
So our two numbers are 127 and 64.
But The aquarium charges $12 per ticket for adults and $5per ticket for children. A group of 90 children and adult chaperones visited the aquartum on a held trip. If the total cost of their tickets was $548, how mamy chaperones were there?
Answer:
There were 76 childrens and 14 adults.
Step-by-step explanation:
Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:
children + adults = 90
Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:
5*children + 12*adults = 548
With these two equations we have a system of equations shown below:
children + adults = 90
5*children + 12*adults = 548
In order to solve this we will multiply the first equation by -5, and sum both equations we have:
-5*children - 5*adults = -450
5*children + 12*adults = 548
7*adults = 98
adults = 98/7 = 14
children + 14 = 90
children = 90 - 14 = 76
There were 76 childrens and 14 adults.
What does 2+2 equal
Answer: 14.4
Step-by-step explanation: To find the third side of the triangle, we have to use the pythagorean theorem...
a² + b² = c²
a² + 4² = 15²
a² + 16 = 225
225 - 16 = 209
[tex]\sqrt{209}[/tex]
a ≈ 14.4 (If rounded it would be 14)
I hope this helps!
how to get the answer ?
Answer:
x=-3
Step-by-step explanation:
This is a vertical line, vertical lines have a slope of undefined
They are of the form
x = something
In this case x= -3
Without measuring angles what is the measure of angle A′ OB ′?
Answer:
That isn’t possible
Step-by-step explanation:
yo was the answerrrrrr n how u do it???????
Answer:
A pizza with 8 slices has price: 12$, then each slice cost:
12/8 = 1.5$
Hope this helps!
:)
Answer:
$1.50
Step-by-step explanation:
Total cost of pizza: $12
The pizza has 8 slices, so 12 divided by 8 will give the cost of one slice.
12/8 = 1.50
one slice of pizza costs $1.50
solve 6n + 12 - 8n = 22
Answer:
n = -5
Explanation:
6n + 12 − 8n = 22
[ Simplify both sides of the equation ]
6n + 12 − 8n =22
6n + 12 + −8n = 22
(6n + −8n) + (12) = 22 [Combine Like Terms]
−2n + 12 = 22
−2n + 12 =22
[ Subtract 12 from both sides ]
−2n + 12 − 12 = 22 − 12
−2n = 10
[ Divide both sides by -2 ]
-2n / -2 = 10 / -2
n = -5
Answer:
n = -5
Step-by-step explanation:
6n + 12 - 8n = 22
Combine like terms
-2n +12 = 22
Subtract 12 from each side
-2n +12-12 = 22-12
-2n =10
Divide each side by -2
-2n/-2 = 10/-2
n = -5
You are balancing your checkbook. Your beginning balance is $595.00. You wrote two checks for $30.00 each and then you wrote another check for $775.00. How much is in your checking account now?
Answer:
- 220
Step-by-step explanation:
Add the 2 checks for 30 each.
30+30=60
Add 60 and 775.
755+60=815
That is how much you took out
Subtract.
595-815=-220
The graph below shows three different normal distributions. 3 normal distributions are shown. They all peak at the same point, but they all have different heights and widths. Which statement must be true?
A) Each distribution has a different mean and the same standard deviation.
B) Each distribution has a different mean and a different standard deviation.
C) Each distribution has the same mean and the same standard deviation.
D) Each distribution has the same mean and a different standard deviation.
Answer:
D) Each distribution has the same mean and a different standard deviation.
Step-by-step explanation:
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The graph below shows three different normal distributions.
D) Each distribution has the same mean and a different standard deviation.
What is standard deviation and mean?The spread in the provided normal curves exists due to various standard deviations. The mean for all three curves lies at the center of the curve.
Therefore, each distribution contains the same mean and a separate standard deviation.
Therefore, the correct answer is option (D) "Each distribution has the same mean and a different standard deviation."
To learn more about standard deviation and mean
https://brainly.com/question/10924415
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Someone be a homie cause I’m really tryin on this math shi thank youuuu
Answer:
The area of the shaded region is equal to difference of the sector contains that shaded region and the triangle.
The area of sector:
A_S = pi x radius^2 x 123/360
= pi x 18.6^2 x 123/360
= 371.346 (m2)
The area of triangle:
A_T = base x height x (1/2)
= (18.6 x sin(123/2) x 2) x (18.6 x cos(123/2)) x (1/2)
= 145.073 (m2)
=> Area of shaded region:
A = 371.346 - 145.073 = 226.273 = ~226.3 (m2)
Hope this helps!
:)
Answer:
First give me points and make me winner, then we can discuss the answer.
Step-by-step explanation:
can someone help me with this question
Answer:
Female:
Total 26
Male:
Rovers 9
City 8
Total 24
Total (along the bottom):
Rovers 20
United 10
Complete the equation of the line whose slope is 555 and yyy-intercept is (0,4)(0,4)left parenthesis, 0, comma, 4, right parenthesis.
Answer:
y = 5x + 4
Step-by-step explanation:
Equation of a line passing through a point (x', y') and having slope 'm' is represented by,
y - y' = m(x - x')
If the point through which the given line is passing is (0, 4) and slope of the line is '5'
Equation of the line will be
y - 4 = 5(x - 0)
y = 5x + 4
Therefore, equation of given line is y = 5x + 4
Answer:
y=4x-1
Step-by-step explanation:
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each store is offering a different promotion
Answer:
Ddddddddddddddddddddddddd
The length of a rectangular room is 5 feet longer than twice the width If the room's perimeter is 166 feet, what is the length?
A. 67 feet
B. 44 feet
C. None of these
D. 114 feet
E. 57 feet
Answer:
E. 57 feet
Step-by-step explanation:
If you draw a rectangle and label the long side 5+2x, and the short side x, then that represents the rectangular floor.
The 2x is "twice the width".
The 5 added to the 2x is "5 feet longer than"
The x is the width of the room.
If the equation for the whole perimeter is 2(5+2x)+2x=166 <-(The perimeter)
(Both of the long sides)^ ^(Both of the short sides)
Then we need to solve for x.
[tex]2(5+2x)+2x=166\\10+4x+2x=166\\10+6x=166\\6x=156\\x=26[/tex]
Next, we input the value we got into the equation 5+2x (The length of one side) and solve
[tex]5+2x\\5+2(26)\\5+52\\57[/tex]
So the length of the room is 57 feet.
Hope this helps!
Solve the equation shown for x.
2( x - 4) = 4x + 3x + 6
Answer:
-2.8
Step-by-step explanation:
I solved it thats how
Write 21 9/1000 in decimal form
Answer:
the answer in decimal form is 21.009
Answer:
= 21.009
Step-by-step explanation:
First change it to an improper fraction
= 1000 x 21 + 9
= 21009/ 1000
You then divide it by 1000 without leaving a remainder.
= 21.009
Point N′(7, –8) is the image of point N(7, 8) under a reflection. What is the image of (–4, –10) under the same reflection?
Answer:
Image of the point (-4, -10) after reflection will be (-4, 10).
Step-by-step explanation:
Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).
Rule for the reflection over the x-axis is
(x, y) → (x, -y)
Under the same reflection or following the same rule rule,
(-4, -10) → (-4, +10)
Therefore, image of the point (-4, -10) after reflection will be (-4, 10)
What is the surface area?
10 cm
8 cm
10 cm
12 cm
10 cm
square centimeters
Step-by-step explanation:
surface area = (2*0.5*12*8) + (2*10*10) + (12*10)
= 96 + 200 + 120
= 416 cm^2
Calculate (full working required)
2.43 x 4 =
Answer:
The answer is 9.72 .
Step-by-step explanation:
You can do it by elaborating :
2.43×4 = (2.00×4) + (0.4×4) + (0.03×4)
= 8.00 + 1.6 + 0.12
= 9.72
A large purple bowl contains 5 blue marbles and 3 pink marbles. What is the probability a blue marble is drawn, replaced, and a second blue marble is drawn?
Answer:
[tex]\frac{25}{64}[/tex]
Step-by-step explanation:
Blue Marbles =5
Pink Marbles =3
Total =3+5=8
Probability of drawing two marbles with replacement
=P(First Blue Marble AND Second Blue Marble)
=P(First Blue Marble) X P(Second Blue Marble)
[tex]=\frac{5}{8}X \frac{5}{8}\\\\=\frac{25}{64}[/tex]
someone please help :)
Answer: 25
Step-by-step explanation:
they are corresponding angles
5 (3-n)=2n+1
How do I solve this problem? Please help me. Thank you very much.
Step-by-step explanation:
15 - 5n = 2n + 1
Bringing like terms on one side
15 - 1 = 2n + 5n
14 = 7n
14/ 7 = n
2 = n
Answer:
Step-by-step explanation:
First distribute. 5•3 and 5•n.
This gives you 15-5n=2n+1
Next add 5n to both sides.
This will give you 15=7n+1
Then you will subtract 1 from both sides.
14=7n
Finally you divide by 7 so you can get n by itself.
Your answer will be 2=n
You can always go back and plug your answer in to see if it works!
6th GRADE MATH:
The length of a park is 250 meters. What’s the park in kilometers?
Answer:
.25 kilometers
Step-by-step explanation:
Divide the length value by 1000 when going from meters to kilometers
Tim is reading a book that contains 55 pages .He has read 46 pages,How many pages are unread?
Answer:
9 unread pages
Step-by-step explanation:
Take the total number of pages and subtract the pages that have been read
55-46 = 9
There are 9 pages that are unread
A circle has a radius of
square route of 13 units and is centered at (-9.3, 4.1).
Write the equation of this circle.
Answer:
[tex](x+9.3)^{2} +(y-4.1)^{2} = 13[/tex]
Step-by-step explanation:
Answer:
(x+9.3)^2+(y-4.1)^2=13
Step-by-step explanation: