Answer:
(x-5) (x+4)
Step-by-step explanation:
x^2-x-20
What two terms multiply to -20 and add to -1
-5*4 = -20
-5+4 = -1
(x-5) (x+4)
Answer:
( x - 5 )( x + 4 )
Step-by-step explanation:
Ashley said 3/4 of her stuffed animals have buttons eyes. Pam said Ashley has 15 stuffed animals. is it possible that Pam is correct? Please explain.
Answer: No it is not possible
3/4 has a denominator of 4, which is not a factor of 15. This means that there is a contradiction somewhere. Note how (3/4)*15 = 11.25 is not a whole number. So if Ashley did have 15 stuffed animals, then 3/4 of that wouldn't be a whole number and it would contradict what Ashley is stating. The same can be said in reverse: if Ashley's statement is correct, then there's no way Pam is correct as well.
Prana has a savings account and a chequing
account with a total balance of $85.
His parents doubled the amount in each
account and the new total balance is $170.
How much money does Prana have in each
account?
Answer:
There is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.
Step-by-step explanation:
Let S represents Prana's savings account and C represents Prana's chequing account.
Prana has a savings account and a chequing account with a total balance of $85.
Mathematically,
S + C = 85 eq. 1
His parents doubled the amount in each account and the new total balance is $170.
Mathematically,
2(S + C) = 170
2S + 2C = 170 eq. 2
We have two equations and two unknowns.
S + C = 85
S = 85 - C
Substitute the above equation into eq. 2
2S + 2C = 170
2(85 - C) + 2C = 170
170 - 2C + 2C = 170
2C + 2C = 170 - 170
0 = 0
So what does it mean?
it means that there is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.
Xavier, Thomas, and Mei had 650 marbles. Thomas had 3 times as many marbles as Mei. Mei had 50 fewer marbles than Xavier. How many marbles did Xavier and Mei have altogether? *
Answer: 230 Marbles
Step-by-step explanation:
Let Xavier marbles be x
Let Thomas marbles be y
Let Mei marbles be z
Xavier, Thomas, and Mei had 650 marbles.
x + y + z = 650
Thomas had 3 times as many marbles as Mei.
y = 3 × z
y = 3z
Mei had 50 fewer marbles than Xavier.
x = z - 50
We can plug all the equation gotten back into the first equation
x + y + z = 650
Since y = 3z and x = z - 50
x + y + z = 650
(z - 50) + 3z + z = 650
z - 50 + 3z + z = 650
5z - 50 = 650
5z = 650 + 50
5z = 700
z = 700/5
z = 140
Mei has 140 marbles
Since x = z - 50
x = 140 - 50
x = 90
Xavier has 90 marbles
y = 3z
y = 3 × 140
y = 420
Thomas has 420 marbles
Xavier and Mei marbles = 90 + 140
= 230 marbles
During a power outage, Mason burns candles for light. Each candle was initially 12 inches long. He wants to know how long they will last. The candles burn at a constant rate, and Mason measures them twice and records their height each time in the
In a certain Algebra 2 class of 28 students, 21 of them play basketball and 8 of them
play baseball. There are 2 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
Answer:
P(basketball and baseball)= 3/28
It helps if you make a two way table, but I cant do that on here
Analyze the zeros of f(x) = x* - 3x - 2x2 + 3x - 5.
Determine the integral intervals where the zeros are located.
A.-2& -1 and 2&3
C.-2& -1 and 3&4
B.0&1 and 1&2
D.-1 & 0 and 3&4
Please select the best answer from the choices provided
Its C, I did a test
West High School has a math building in the shape of a regular octagon. When Mrs. Woods measures an interior angle of the octagon (which is inside her classroom), she gets 135°.
Mrs. Wood’s ceiling is 10.0 feet high and the length of one side of the building is 25.0 feet. What is the volume of West High School’s math building?
Answer:
8 sides
The building is an octagon
Step-by-step explanation:
The sum of all the interior angles in a polygon can be found by the equation
S
=
180
(
n
−
2
)
where
n
is the number of sides the polygon has.
We know that one interior angle is
135
degrees and that all the interior angles are the same because this is a regular polygon. So the sum of the angles must be
135
n
(
135
degrees times the number of sides, or the number of angles).
135
n
=
180
(
n
−
2
)
135
n
=
180
n
−
360
135
n
+
360
=
180
n
45
n
=
360
n
=
8
→
There are
8
sides and
8
interior angles of
135
degrees
Mary invests £12000 into a savings account. The account pays 1.5% compound interest per year.
Work out the value of her investment after two years.
Answer:
£12,362.70
Step-by-step explanation:
I used the compound interest formula to work this out.
£12,000 (original amount) x 1.015²
1.015 = 1.5% --- squared because the investment was 2 years.
Hope this helps :D
solve for a side in right triangles
Answer:
4.28
Step-by-step explanation:
The cost of 24 bottles of water is $6. How much does it cost for 10 bottles of water?
Find the unit rate: 24 water bottles ÷ 6 dollars total = $0.25 a water bottle
Next, take the rate per water bottle and multiply it by ten: $0.25 a water bottle x 10 bottles of water = $2.50 total
So, this gives you your final answer. Ten bottles of water cost you $2.50!
What is the factored form of this expression? x2 − 12x + 36
A. (x − 6)2
B. (x − 6)(x + 6)
C. (x + 6)2
D. (x − 12)(x − 3)
Answer:
The answer is A
Step-by-step explanation:
(x-6)2
=x2-12x+36
The required factor form of the polynomial equation x²-12x+36 is (x-6)².
Option A is correct.
The factored form of the polynomial x² − 12x + 36 equation is to determined.
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Here, The given polynomial function f(x) = x²− 12x + 36
Factorization of a given polynomial function,
f(x) = x²− 12x + 36
spitting 12x in 6x+ 6x
f(x) = x²− 6x-6x + 36
taking commons
f(x) = x(x− 6)-6(x - 6)
f(x) = (x− 6)(x - 6)
f(x) = (x− 6)² is the factorized form of f(x) = x²− 12x + 36.
Thus, The required factor form of the polynomial equation x²-12x+36 is (x-6)².
Learn more about polynomial function here:
https://brainly.com/question/12976257
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find the area of the circle
Answer:
A =153.86 m^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 7 and we can approximate pi by 3.14
A = 3.14 *7^2
A =153.86 m^2
What is the slope of the line represented by the equation y = y equals StartFraction 4 Over 5 EndFraction x minus 3.x – 3?
-3
-4/5
4/5
3
Answer:
4 Over 5 (4/5)
Step-by-step explanation:
we have
[tex]y=\frac{4}{5}x-3[/tex]
This is the equation of a line in slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
In this problem we have
[tex]m=\frac{4}{5}[/tex]
[tex]b=-3[/tex]
therefore
The slope is [tex]\frac{4}{5}[/tex]
The slope of the given line is equivalent to 4/5.
Determining the slope of a lineThe equation of a line in slope intercept form is expressed as y = mx + b
where:
m is the slope
b is the y-intercept
Given the equation of a line y = 4/5x. - 3, we are to determine its slope
In this case, the coefficient of x is (4/5), which represents the slope of the line.
m = 4/5
Therefore, the slope of the line is 4/5.
Learn more on slope here: https://brainly.com/question/16949303
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Which store is offering the greater discount?
A.
Store B is offering the greater discount.
B.
Store A and store B are offering the same discount.
C.
There is not enough information to determine the amount of the discount.
D.
Store A is offering the greater discount.
Answer:
A
Step-by-step explanation:
anyone watching or watched Avatar The Last Airbender? or The Legend of Korra? If you haven't I highly suggest you watch it on Netflix
Answer:
no ive never seen is it a cartoon
Step-by-step explanation:
Answer:
Yes I have seen it i reccomend it to
Lewis was driving at 90 km per hour when he sneezed.
During the sneeze, his eyes were closed for half a second.
Work out how many metres he travelled in this time.
Answer:
12.5 m
Step-by-step explanation:
recall that 1 km = 1000 m
hence 90 km/h is equivalent to 90 km/h x 1000 m/km = 90,000 m/hr
also recall that 1 hour = 60 x 60 = 3600 s
hence 90,000 m/hr is equivalent to 90,000 m/hr x (1/3600) hr/s = 25 m/s.
given that is eyes were closed for 0.5 s.
in 0.5s, he travelled :
0.5s x 25 m/s = 12.5 m
what is the answer for this in square root form
Answer:
x = ± sqrt(-49)
or x = ± 7i
Step-by-step explanation:
x^2 +49 = 0
Subtract 49 from each side
x^2 +49 -49 = 0-49
x^2 = -49
Take the square root of each side
sqrt(x^2) = ± sqrt(-49)
x = ± sqrt(-49)
We have to complex numbers to solve
x = ± sqrt(-1) sqrt(49)
sqrt(-1) = i
x = ±i *7
x = ± 7i
please help with math
Answer:
648 cm³
Step-by-step explanation:
side area=(13+11)/2 ×9=12×9=108 cm²
volume=108×6=648 cm³
He also has a piece of string that is 214214 ft long. Olivier needs to cut this string into 3 pieces that are all the same length to finish an art project. How long should each piece of string be?
Answer:
71.3 ft
Step-by-step explanation:
Oliver has a piece of string that is 214 ft long. He needs to cut this string into 3 pieces that are all the same length.
To find the length that each piece should be, we divide the length of the string by 3:
214 / 3 = 71.3 ft
Each piece should be 71.3 feet long.
Ed is constructing the perpendicular bisector of a segment on his paper. He just finished
labeling the points of intersection of the two arcs that he drew. What is his next step?
Answer:
The next step is to draw a line connecting the two labelled points, that is from one side of the line to be bisected to the other
The line drawn in the above step, from the two labelled points is the perpendicular bisector of the segment
Step-by-step explanation:
To draw a perpendicular bisector of a segment, we have;
1. Ensure the compass is opened to more than half of the length of the segment to be bisected
2. Draw arcs of the same radius with center at the ends of the line to be bisected
3. Label the points where the arcs drawn from both ends cross each other on opposite sides of the line
4. Draw a line connecting the two labelled points, that is from one side of the line to be bisected to the other
5. The line so drawn from the two labelled points is the perpendicular bisector of the segment.
Please help! Correct answers only please!
You flip a coin twice.
What is the probability of getting heads and then getting heads?
Write your answer as a percentage.
Answer:
25%
Step-by-step explanation:
The chance of getting a heads each time is 1/2. Since they are both independent events, you can multiply them together to get a total probability of 1/4 or 25%. Hope this helps!
Find the median and mode of the data.
3, 4 1/4, 3 3/4, 5, 2 1/2, 8 2/3, 2 1/2
The median is
and the mode is
Answer:the mode is 2 1/2 because it repeats twice
Step-by-step explanation:repeats twice
What are the solutions to 2x^2+7y=4 ? Select all that apply.
1/2
4
-1/2
-4
7
-7
Answer:
x = -1/2 , 4
Step-by-step explanation:
1) If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x+1=0
x−4=0
2) Set the first factor equal to 0.
2x+1=0
3) Subtract 1 from both sides of the equation.
2x=−1
4) Divide each term by 2 and simplify.
2x/2= −1/2
5) Cancel the common factor of 2.
x= −1/2
6) Move the negative in front of the fraction.
x = −1/2
7) Set the next factor equal to 0 and solve.
x=4
8) The final solution is all the values that make
(2x+1)(x−4) = 0 true.
9) x = −1/2 , 4
Put these in order of size from smallest to largest: 7/4 , 74% , 7.4 , 4/7 , 70.4
Hi Guys i need Ya'lls Help On this
Which answer best describes how to solve this story problem?
There are 4 fewer blue pens in a box than black pens. There are 15 black pens in each box.
How many blue pens are in 3 boxes?
Add 15 and 4. Then multiply the sum by 3.
Subtract 4 from 15. Then multiply the difference by 3.
Subtract 4 from 15. Then divide the difference by 3.
Answer:
the answer is: "Subtract 4 from 15. Then multiply the difference by 3."
Step-by-step explanation:
If there are 4 fewer blue pens in a box than black pens, and there are 15 black pens in each box, then that means there are 11 blue pens in each box.
So then, how many blue pens are in 3 boxes? There are 33 blue pens in 3 boxes, you can find this out by multiplying, 11 by 3.
the numerical answer is:
11 x 3 = 33
or, 3 x ( 15 - 4)
I hoped this helped!
if you flip a coin and roll a 6 sided die, what is the probability that you will flip a tails and roll 2
Answer:
1/12.
Step-by-step explanation:
6 sides and 2 sides. 2 possible outcomes for each side of the dice
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
The combinations:
heads and 1, heads and 2, heads and 3, heads and 4, heads and 5, heads and 6, tails and 1, tails and 2, tails and 3, tails and 4, tails and 5, tails and 6
There are 12 combinations (count if you don't believe me). An easy way to find this is by multiplying the number of things you can get from the coin (2)and the number of things you can get from the die (6).There is only one combination where you can get tails and roll 2, so the probability will be [tex]\frac{1}{12}[/tex]Ricky bought beans and yams for $6.35. He paid $3.15 for all the beans and
$0.40 for each yam. How many yams did he buy?
Answer:
8
Step-by-step explanation:
6.35- 3.15 is 3.20.
3.20÷.40=8
hope this helps :)
What is the value of X in the figure?
y = 4x - 3
y= 2x + 13
Answer:
x = 9, y = 29 or (8,29)
Step-by-step explanation:
Set the equations equal to each other because they both equal y:
4x - 3 = 2x + 13
Combine like terms:
2x = 16
Divide by 2:
x = 8
Plug 8 into the x for both equations and see if the y is the same:
y = 4(8) - 3 = 32 - 3 = 29
y = 2(8) + 13 = 16 + 13 = 29
Change.83 to a fraction.
83
[?]
it’s for acellus and it’s not 100 apparently please help as soon as you can
Answer:
83/100
Step-by-step explanation:
Decimals to fractions