Answer:
25x
Step-by-step explanation:
100x^2 -250xy +75x
Rewriting
25*4*x*x -25*10 *x*y + 25*3*x
As we can see each term contains 25x
The greatest common factor is 25x
25x( 4x -10y+3)
Answer:
25x
Step-by-step explanation:
GCF means the greatest common factor.
First, we write the factors of these numbers.
=> 100x^2 = 2 * 2 * 5 * 5 * X * X
=> 250xy = 5 * 5 * 5 * 2 * X * Y
=> 75x = 5 * 5 * 5 * x
=> Next, we need to take the numbers that come in all sets.
=> 5 , 5 , x
Next, we multiply these numbers.
=> 25x
So, the GCF of these numbers are 25x
The function f(x) = 50(0.952)x, where x is the time in years, models a declining feral cat population. How many feral cats will there be in 9 years?
Work Shown:
f(x) = 50(0.952)^x
f(9) = 50(0.952)^9
f(9) = 32.1146016801717
f(9) = 32 approximately
Side note: the exponential function is in the form a*b^x with b = 1+r = 0.952, which solves to r = -0.048. The negative r value means we have a 4.8% decrease each year.
Another note: you don't even need to use math to answer this question. Note how 50 is the starting population and the population is declining. Only choice B has a value smaller than 50, so we can rule out the others right away.
Answer:
32
Step-by-step explanation:
The initial value of the population is f(0) = 50(0.952^0) = 50. If the population is declining, it must be less than 50 in 9 years. The only answer choice that is less than 50 is ...
about 32 feral cats
_____
You can evaluate f(9) to choose the same answer:
f(9) = 50(0.952^9) ≈ 32.114 ≈ 32
In a triangle ABC with |AB|=9m,|AC| =6m ,the sides AB and AC are produced to points X and Y respectively such that angleBXY=62°,and angle AYX=51°, calculate |BC| ..please help Mee♀️♀️
Answer:
|BC| = 9.4 m
Step-by-step explanation:
Angle bxy = angle abc (reason, corresponding angles)
Angle ayx = angle acb ( reason , corresponding angles)
So angle abc= 62°
Angle acb = 51°
Angle acb + and + bac = 180 (reason, sum of angles in a triangle)
Anlge bac = 180-62-51
Angle bac= 180-113
Angle back = 67°
Using sine formula
|BC| /sin 67 = 9/sin 62
|BC| = sin 67 *9/sin62
|BC| = 9.4 m
Point R is on line segment QS. Given QR=3 and QS=17, determine the length RS.
Answer:
14
Step-by-step explanation:
RS = QS - QR
RS = 17 - 3
RS = 14
Answer:
[tex]\large \boxed{14}[/tex]
Step-by-step explanation:
Point R is on the line segment QS.
QS = QR + RS
Solve for RS.
RS = QS - QR
RS = 17 - 3
RS = 14
Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50.
Answer:
2.75+11.50S[tex]\leq[/tex]55
4
Step-by-step explanation:
The Total amount of money Alonso went to the market with is: = $55
Items to be bought includes:
eggssugarAlonso knows that:
A pack of 12 eggs costs = $2.75 Now, he wants to use the remaining amount to purchase as much sugar as possibleRequirement for his taste for sugar:
a box of sugar he likes = $11.50From this information, the objective would be to determine the number of sugar he can purchase with the money left after he has already bought the eggs.
To start with, the amount of money left after buying the eggs is:
= $55 - $2.75
= $52.25
Now, if a box of sugar he likes cost = $11.50
Then he will be able to purchase (x( bost of sugar with = $52.50
Now, to determine the number of boxes of sugar he can purchase, we have:
1 box of sugar = $11.50
x(box) of sugar = $52.25
∴
[tex]\mathbf{x (box) of sugar = \dfrac{\$52.25 \times 1 box of sugar }{\$11.50}}[/tex]
x = 4.5 box of sugar
Therefore, after buying a pack of 12 eggs for = $2.75, Alonso will be able to buy [tex]\mathbf{ 4\dfrac{1}{2}}[/tex] or 4.5 boxes of sugar.
Learn more about word problems here:
https://brainly.com/question/20252231?referrer=searchResults
Find the constant $p$ such that $x^2 - 5x + p$ is the square of a binomial.
Answer:
[tex]p = \frac{25}{4}[/tex]
Step-by-step explanation:
Given
[tex]x\² - 5x + p[/tex]
Required
Find p, such that the expression is a perfect square
Write out the coefficient of x
Coefficient = -5
Next step is to divide the coefficient of x by 2
[tex]Result = \½(-5)[/tex]
Take the square of the above expression to give p
[tex]p = (\½(-5))\²[/tex]
[tex]p = (\½(-5) * (\½(-5)[/tex]
[tex]p = \½ * \½ * (-5) * (-5)[/tex]
[tex]p = \¼(25)[/tex]
[tex]p = \frac{25}{4}[/tex]
Substitute 25/4 for p in the given expression
[tex]x\² - 5x + p[/tex] becomes
[tex]x\² -5x + \frac{25}{4}[/tex]
Expand the above expression
[tex]x\² - \frac{5x}{2} - \frac{5x}{2} + \frac{25}{4}[/tex]
Factorize
[tex]x(x - \frac{5}{2}) - \frac{5}{2}(x - \frac{5}{2})[/tex]
[tex](x - \frac{5}{2})(x - \frac{5}{2})[/tex]
[tex](x - \frac{5}{2})\²[/tex]
Hence, the value of p is [tex]p = \frac{25}{4}[/tex]
How forgot how to do this problem. I will give brainliest!
Answers
2x+3y=4
A=2 , B=3 , C=4
step by step:
2x+3y=2 the slope is -2/3
3y=-2x+2
y=-2/3 x+2
parallel line have the same slope: -2/3
the equation of parallel line that passes through point (2,0) y=mx+b
find b
2(2)+3(0)=b
4+0=b
b=4
the equation will be
2x+3y=4
to check : graph the equations:
Use distributive property to simplify the following expression. 2(4+9w)
Answer:
18w+8
Step-by-step explanation:
[tex]2(4 + 9w) \\ = 2(4) + 2(9w) \\ 8 + 18w \\ = 18w + 8[/tex]
Answer:
8+18w [tex]\huge\checkmark[/tex]
Step-by-step explanation:
Hi! Hope you are having an amazing day! :)
Distribute 2 by multiplying everything inside the parentheses by 2:
[tex]\huge\mathrm{2(4+9w)}[/tex]
[tex]\huge\mathrm{8+18w}[/tex] (Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
[tex]\bf{-MistySparkles^**^*}\star[/tex]
Megan leaves her house at 4:15 to go soccer practice. It takes her 35 minutes to get there. Her practice is two hours long. Then, she drives home, which takes 40 minutes. What time does she get back home?
Answer:
7:35
Step-by-step explanation:
we take the 35 and 45 and add it together, then take out the 60 minutes and put that in as an hour. the practice is two hours long plus the hour we took out. then the remaining minutes are 20. we add 20 minutes and three hours
Can anyone tell me the answer of the question attached below??
Answer: AE = 5
Step-by-step explanation:
I sketched the triangle based on the information provided.
since ∠A = 90° and is divided into three equal angles, then ∠BAD, ∠DAE, and ∠CAE = 30°
Since AB = 5 and BC = 10, then ΔCAB is a 30°-60°-90° triangle which implies that ∠B = 60° and ∠C = 30°
Using the Triangle Sum Theorem, we can conclude that ∠ADB = 90°, ∠ADE = 90°, ∠ AED = 60°, AND ∠ AEC = 120°
We can see that ΔAEC is an isosceles triangle. Draw a perpendicular to divide it into two congruent right triangles. Label the intersection as Z. ΔAEZ and ΔCEZ are 30°-60°-90° triangles.
Using the 30°-60°-90° rules for ΔABC we can calculate that AC = 5√3.
Since we divided ΔAEC into two congruent triangles, then AZ = [tex]\dfrac{5\sqrt 3}{2}[/tex]
Now use the 30°-60°-90° rules to calculate AE = 5
H = 5 ft
Which is the formula
for the volume
of a cylinder?
A. V = a^2 + b^2 + c^2
B. V = (area of the base)(radius)
C. V = (area of the base)(height)
Answer: C. V = (area of the base)(height)
This applies to any prism. A cylinder is effectively a prism but the base is a circle rather than a polygon.
The cylindrical volume formula you may be more familiar with is
V = pi*r^2*h
note how the pi*r^2 portion is the area of the circular base. So we can replace the pi*r^2 with "area of the base" to end up with choice C.
A
A 30 m high pillar has been broken 10 m above from the ground. The tip of the broken part makes an angle of ...........with the ground
Tyrone measured the floor of his rectangular storage unit. It is 3 feet wide and 8 feet from one corner to the opposite corner. How long is the storage unit? If necessary, round to the nearest tenth.
Answer:
Rounded to the nearest tenth, 7.4 feet long.
Step-by-step explanation:
Tyrone has a rectangular storage unit. We are given the width and the diagonal length.
So we can use Pythagorean Theorem.
3^2 + b^2 = 8^2
9 + b^2 = 64
subtract 9 from both sides
b^2 = 55
b = sqrt55
b is around 7.4161984871, so b rounded to the nearest tenth is 7.4 feet long.
The shape on the left is translated to the shape on the right which statement about transformation is true?
what is the answer ，and how do you solve it .please help
Answer:
10
Step-by-step explanation:
2000/ 2x = 10
Multiply each side by 2x
2000/ 2x = 10 *2x
2000 = 20x
Divide by 20
2000/20 = 20x/20
100 = x
Take the square root of each side
sqrt(100) = sqrt(x)
10 = sqrt(x)
if you have a cylindrical tank that's 10 feet long and has a radius of 2 feet, what's the maximum possible capacity of the tank in gallons of water if 1 cubic foot of water = 7.48 gallons? Round your answer to two decimal places.
Answer:
Step-by-step explanation:
Volume = pi * r^2 * h
r = 2 feet
h = 10 feet
Volume = 3.14 * 2^2 * 10
Volume = 125.6 cubic feet
1 cubic foot contains 7.48 gallons
125.6 cubic feet contain 7.48 * 125.6 = 930.488
The tank contains 930.49 gallons.
what is 2x 3 -7x^{3}−7x 3
Answer:
It is given that
4x/3−7x/3=1
Step-by-step explanation:
By further calculation
−3x/3=1
So we get
−x=1
x=−1.
Help is needed please!!! Thanks Find the number of pairs of integers (x,y) with 0 1-(5/y)
Answer:
Técnicas orales y de cálculo mental de multiplicación y división entera . ... conjunto de múltiplos de 10 es un subconjunto de los números pares. Si ... La clase vacía ∅ se representa por la notación 0, la clase unitaria por 1, la clase binaria por 2, etc. En ... 5 x (5 x (5 x (5 + 4) + 3 ) + 2) + 1 ; x significa el signo de multiplicar. 8.
Step-by-step explanation:
Técnicas orales y de cálculo mental de multiplicación y división entera . ... conjunto de múltiplos de 10 es un subconjunto de los números pares. Si ... La clase vacía ∅ se representa por la notación 0, la clase unitaria por 1, la clase binaria por 2, etc. En ... 5 x (5 x (5 x (5 + 4) + 3 ) + 2) + 1 ; x significa el signo de multiplicar. 8.
heeelllpppppppppppppppp
Answer:
2/5m - 1/5
Step-by-step explanation:
2(1/5m - 2/5) + 3/5
= 2/5m - 4/5 + 3/5
= 2/5m - 1/5
Answer:
[tex]\frac{2m-1}{5}[/tex]
Step-by-step explanation:
[tex]2\left(\frac{1}{5}m-\frac{2}{5}\right)+\frac{3}{5}\\\\2\left(\frac{1}{5}m-\frac{2}{5}\right)=2\left(\frac{m}{5}-\frac{2}{5}\right)\\\\\frac{m}{5}-\frac{2}{5}=\frac{m-2}{5}\\\\=\frac{2\left(m-2\right)}{5}+\frac{3}{5}\\\\\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{2\left(m-2\right)+3}{5}\\\\\mathrm{Expand}\:\left(m-2\right)\cdot \:2+3:\quad 2m-1\\\\=\frac{2m-1}{5}[/tex]
If f(x)=-2x find x= -1
A.-3
B.-2
C.2
D.0
How do I solve 3(x+1)=5(x−2)+7?
Answer:
x = 3Step-by-step explanation:
[tex]3\left(x+1\right)=5\left(x-2\right)+7\\Expand\\3x+3 =5x -10+7\\Collect \:like\: terms\\3x-5x = -10+7-3\\-2x = -6\\Divide \:both\:sides\:of\:the\:equation\:by\:-2\\\frac{-2x}{-2} = \frac{-6}{-2}\\ \\x = 3[/tex]
Answer:
x = 3
Step-by-step explanation:
3(x+1)=5(x−2)+7
Use the distributive property to multiply 3 by x+1.
3x+3=5(x−2)+7
Use the distributive property to multiply 5 by x−2.
3x+3=5x−10+7
Add −10 and 7 to get −3.
3x+3=5x−3
Subtract 5x from both sides.
3x+3−5x=−3
Combine 3x and −5x to get −2x
−2x+3=−3
Subtract 3 from both sides.
−2x=−3−3
Subtract 3 from −3 to get −6.
−2x=−6
Divide both sides by −2.
x = -6/2
Divide −6 by −2
x = 3
4. Given the following pattern of shapes, choose the mathematical expression showing th
changes for each iteration if b is the number of boxes in the previous iteration
a) b + 1
b) b + 2
c) 6-1
d) 6-2
Answer:
b)b+2
Step-by-step explanation:
3+2=5
5+2=7
so for the next iteration 2is added.
anyone know the answer?
Answer:
B
Ive had this before
Write a number sentence that
illustrates the associative property
of addition,
Please, someone help.
Answer:
ok so
faf
Step-by-step explanation:
Factor 20x2 + 25x – 12x – 15 by grouping.
1. Group terms with common factors.
2. Factor the GCF from each group.
3. Write the polynomial as a product of binomials.
(20x2 – 12x) + (25x– 15)
4x(5x – 3) + 5(5x – 3)
(5x – 3)(
x +
)
Find the area. Round to the nearest tenth.
6 in.
5 in.
9 in.
in.
Answer:
131 1/4 in.²
Step-by-step explanation:
To find the area of the figure, you would have to divide the figure into two parts. The figure can be divided into two rectangles.
Rectangle 1
The length is 11 3/4 in. The width is 6 in.
A = lw
A = (11 3/4 in.)(6 in.)
A = 70 1/2 in.²
Rectangle 2
The length is 9 in. The width is 6 3/4 in.
A = lw
A = (9 in.)(6 3/4 in.)
A = 60 3/4 in.²
Add the two areas together.
70 1/2 in.² + 60 3/4 in.² = 131 1/4 in.²
Water flows from a bathroom tap at a rate of 2 gallons every 6 seconds. At this rate, how many minutes will it take to fill an 80-gallon tub?
Answer:
240 minutes
Step-by-step explanation:
i divide 80 divided by 2 then multiply the answer which is 40 by 6 and get 240
A restaurant wanted to track how much of a quart of soda customers drank at a meal. The line plot displays the data collected by the restaurant. How much more soda did the customers who drank 3/4 of a quart drink than the customers who drank 1/4 of a quart?
Answer:
C
Step-by-step explanation:
13/4 simplified---->3and 1/4
Geometry, please answer question ASAP
Answer:
x = 60
Step-by-step explanation:
The sum of the interior angles of a quadrilateral is 360 degrees.
So if we sum up all the given angles, we would get this equation:
2x + x + 90 + 90 = 360
which simplifies to
3x + 180 = 360
subtract 180 from both sides
3x = 180
divide both sides by 3
x = 60
Answer:
Below!
Step-by-step explanation:
Since all angles in this shape add up to 360, I used this formula to find x
360 = 90 + 90 + x + 2x
360 = 180 + 3x
180 = 3x
Divide both sides by 3
60 = x
You can check to see if this works
90 + 90 + 60 + 120 = 360
Hope this helps!
what is the commutative property for 4xy
PLEASE ANSWER QUICKLY
Answer:
[tex]we \: know \: that \: commutative \: prop \\ = x + y = y + x \\ then \\ 4xy + 0 = 0 + 4xy \\ thank \: you[/tex]
which of the following is a quotient of the rational expressions shown here?
Answer:
x^2+x
--------
x-1
Step-by-step explanation:
x 1
------ ÷ --------
x-1 x+1
Copy dot flip
x x+ 1
------ * --------
x-1 1
x(x+1)
-------
x-1
x^2+x
--------
x-1
Pens cost 15 pence each.
Rulers cost 20 pence each.
A school buys 150 pens and 90 rulers.
The total cost is reduced by 1/5
How much does the school pay?
Answer:
The amount the school pays is £32.40
Step-by-step explanation:
The cost of each pen = 15 pence
The cost of each ruler = 20 pence
The number of pens bought by the school = 150
The number of rulers bought by the school = 90
The cost reduction (discount) on the items bought = 1/5
Therefore, we have;
The total cost of the pens bought by the school = 150 × 15 = 2250 = £22.50
The total cost of the rulers bought by the school = 90 × 20 = 1800 = £18.00
The total cost of the writing materials (rulers and pens) bought by the school = £22.50 + £18.00 = £40.50
The discount = 1/5 total cost reduction = 1/5×£40.50 = $8.10
The amount the school pays = The total cost of the writing materials - The discount
The amount the school pays = £40.50 - $8.10 = £32.40
The amount the school pays = £32.40.