Work Shown:
12x+10
2*6x+2*5
2(6x+5)
Effectively, we use the distributive property in reverse when it comes to factoring expressions like this.
The distributive property in general is a*(b+c) = a*b+a*c
1) Find the Greatest Common Factor (GCF).
1 What is the largest number that divides evenly into 12 and 10?
It is 2.
2 What is the highest degree of that divides evenly into 12and 10?
It is 1, since x is not in every term.
3 Multiplying the results above,
The GCF is 22.
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]2(\frac{12x}{2}+\frac{10}{2})[/tex]
3) Simplify each term in parentheses.
2(6x+5)
Two hoses A and B together fill a swimming pool in two hours. A does it by herself in three hours less than B. Calculate how many hours it takes each to fill the pool.
If hose A takes x hours to fill the pool, hose B will take x+3 hours to fill the pool. So, each hour, A will fill [tex]\bf{\dfrac{1}{x}}[/tex] parts of the pool and B will fill [tex]\bf{\dfrac{1}{x+3}}[/tex] parts. Since using both hoses fills the pool completely, you have to:
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ 1= \frac{1}{x}+\frac{1}{x}+\frac{1}{x+3}+\frac{1}{x+3} } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ =\frac{2}{x}+\frac{2}{x+3} } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ =\frac{2x+2x+6}{x(x+3)} } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ x^2+3x=4x+6\ \Longrightarrow\ \ 0=x^2-x-6=(x-3)(x+2) } \end{gathered}$}[/tex]
Hose A takes 3 hours to fill the pool and Hose B takes 6 hours.
Question in the picture 1-5
how to understand next steps what will be anyone give me explains
Step-by-step explanation:
remember a few things :
a × -1 = -a
-a × -1 = a
-1 × -1 = 1
1 × a = a
therefore,
-1 × -1 × a = 1 × a = a
and finally
c × (a + b) = c×a + c×b
so, we can say
(1 - 5) = -1 × -1 × (1 - 5) =
= -1 × (-1×1 + -1×-5) = -1 × (-1 + 5) =
= -1 × (5 - 1) = -(5 - 1)
Make an organized list which shows all possible outcomes when four fair coins are flipped.Each coin lands facing either heads up (H) or tails up (T).What is the probability that at least three coins land facing tails up? Give the probability as a percent, rounded to the nearest whole number.P(at least three tails) =
Answer:
Sample Space
= { HHHH , HHHT, HTHH , HHTT , HHTH , HTHT , HTTH , HTTT , TTTT , TTTH ,THTT, TTHH ,TTHT ,THTH, THHT ,THHH}
n(S) = 16
at least three coins land facing tails up T= { HTTT , TTTT , TTTH ,THTT, TTHT }
n(T)=5
P(at least three tails) = n(T)/n(S) = 5/16
∴ the percentage is = 31.25%
Step-by-step explanation:
Congruent or not congruent
What is the value of x in the equation?
Answer:
What is the value of x in the equation?
Step-by-step explanation:
help me now!! help help help
Step-by-step explanation:
sum of interior angle sum of each angle
1) 720 120
2)360 90
3)540 108
(2)
a) a=360-90-90-122
a=58
b) b=360-100-95-35
b=130
c) c=720-140-110-110-125-139
c=105
d) 2d=540-80-90-90
2d=280
d= 140
3) 5(360/5)
=360
4) y=90+90-122
y=58
x=360-117-66-58
x=119
in 2020 there were about 282 million gas powered cars on the road this number is expected to decrease at a rate of 3.1% per year if this is correct estimate how many people will be driving gas in 5 years
Answer:
≈ 240,000,000 people
Step-by-step explanation:
[tex]3.1 \cdot 5 = 15.5[/tex]
[tex]15.5[/tex] ≈ [tex]16[/tex]
[tex]Y = X(1 - P\%)\\Y = 282,000,000(1 - 16\%)[/tex]
[tex]p = 16\%/100 = 0.16\\Y = 282,000,000(1 - 0.16)\\Y = 282,000,000(0.84)\\Y = 236,880,000\\[/tex]
[tex]236,880,000[/tex] ≈ [tex]240,000,000[/tex]
On the first day of a song release, it had 20 million streams. If the number of streams increases by 10% per day, how many streams will there be on the seventh day
Answer:
35.4 million
Step-by-step explanation:
We assume the description "increases by 10% per day" means the base of the percentage is the previous day's number of streams. Then the sequence of streams on consecutive days is a geometric sequence with a first term of 20 million and a common ratio of (1 +10%) = 1.10.
__
streams on day nThe n-th term of a geometric sequence is ...
an = a1×r^(n-1) . . . . . where a1 is the first term, and r is the common ratio
The sequence of streams on consecutive days is then ...
an = 20×1.10^(n-1) . . . . millions of streams on day n
seventh dayFor n = 7, the number of streams is ...
a7 = 20×1.10^(7 -1) ≈ 35.4 . . . . million streams
There will be about 35.4 million streams on the seventh day.
find the volume of the cubes or rectangular prisms in cubic centimeters.
Answer:
Cube with a side length of 2/5 cm: 8/125 cm^3
Rectangular prism with a length, width, and height of 3/5 cm, 4/5 cm, and 3/5 cm, respectively: 36/125cm^3
Rectangular prism with a length, width, and height of 1/5 cm, 2/5 cm, and 3/5 cm, respectively: 6/125 cm^3.
Cube with a side length of 1/5 cm: 1/125 cm^3
Step-by-step explanation:
For the first one, cubes have equal sides, we would do 2/5*2/5*2/5, which is 8/125 cm^3.
Next we have a rectangular prism. For this, we will just multiply all of the sides with each other which is 3/5*4/5*3/5 which is 36/125 cm^3
Now we have another rectangular prism. Again, we will multiple all of the sides with one another: 1/5*2/5*3/5, which is 6/125 cm^3.
Lastly, there is a cube with a side length of 1/5 cm. We know that cubes have equal sides, so it would be 1/5*1/5*1/5, which is 1/125 cm^3.
I hope this helped.
which of the following is NOT a solution of the inequality?
y[tex]\leq[/tex] - 1?
a) -3
b) -1
c) -6
d)0
Answer: d) 0
Step-by-step explanation:
With the inequality given, y ≤ -1, solutions are -1 and all numbers less than -1. We will check all the options to see which is not a solution.
a) -3 ✓
-> This is not our answer. -3 is less than -1.
b) -1 ✓
-> This is not our answer. -1 is equal to -1.
c) -6 ✓
-> This is not our answer. -6 is less than -1.
d) 0 ✗
-> This is our answer! 0 is not less than -1.
Answer:
The answer is d
The number of tvs sold increased from 70 to 98. work out the percentage increase.
Which statement about digital payments is true?
A. Digital payments are becoming less safe than ever.
B. Digital payments are more common than ever.
C. Digital payments are more convenient for buyers but less
convenient for sellers.
D. Digital payments are being replaced by cash and credit cards.
Answer:
it think it is B. Digital payments are more common than ever.
Step-by-step explanation:
"Significant gains have been recorded, however, in the share of consumers using two or more digital payments methods, which jumped from 45 percent last year to 58 percent in 2020 "
Hope This Helped
Hi, I'm in 7th grade and I'm about to fail Mathematics. Please help me...
1. 16
2. 2, 21
3. 2
4. 42
Hope that helps!
5. in a maths test , Archie got1/5 of the questions wrong.
a What was Archie's percentage score?
b. Explain why it is not possible to work out his actual score.
Answer:
Step-by-step explanation:
a) Out of 5, 1 only one is wrong. So number of questions answered correctly is (4/5)
To find the percentage, multiply (4/5) by 100
[tex]\sf \dfrac{4}{5}*100 = 4* 20 = 80 \%[/tex]
b) It is not possible to find the actual score because we don't know how many questions were there actually and the score for each question.
Answer:
jajajjajaja
Step-by-step explanation:
sdfgsdfgsdfg
The rectangular prism shown has a length of 5 cm, a height of 3 cm, and a width of 4 cm. What is the surface area of this prism?
What is the answer and please explain how you got it.
Answer:
94 cm^2 (cm squared bc it's surface area)
Step-by-step explanation:
so we know...
length = 5
height = 3
width = 4
there are two of the same sides in a rectangular prism
5x3 = 15
4x3 = 12
4x5 = 20
15 + 12 + 20 = 47 x 2 = 94
Clare makes a pattern of shapes each shape in the pattern is 1 unit longer and 1 unit taller than the shape before it which picture could show the first three shapes in Clare pattern?
Answer:
triagle
Step-by-step explanation:
it is tringle because because this pattern other is tall and other is short it gona be isocelese triagle
Match the graph to the correct inequality
X≥-3
X<-3
X≤ 3
X> -3
Answer: Choice A) x ≥ -3
Reason:
The graph has a closed filled in circle at -3, which means we include this value. So we'll have "or equal to" as part of the inequality sign.
We'll also have "greater than" because we're shading to the right.
Hence, we have "greater than or equal to".
Put another way, x = -3 or x > -3 are two possibilities.
If the endpoint at -3 was an open hole, then we'd exclude the endpoint and go for x > -3 instead of x ≥ -3
Answer:
X≥-3
Step-by-step explanation:
Inequalities represent a range of values, rather than a single value.
Let us consider the inequality
x > - 3
This would mean can be any value greater than -3, not including -3.
This is represented by a line starting from -3 and extending indefinitely (marked by an arrow head). Note that at -3, there is a small empty circle which represents that -3 is not included.
In case the inequality was
x > -3
It would mean that -3 has also been included.
In case you can't draw on the number line, you can also show the range just above the number.
Franklin has delivered 26 newspapers and
can deliver 9 newspapers in an hour.
Michael has delivered 5 newspapers and can
deliver 12 newspapers in an hour. How
many hours (h) will Michael take to deliver
as many newspapers (n) as Franklin?
n = 9h+26
n = 12h + 5
[?] hours
Using linear functions, it is found that it will take 7 hours for Michael to deliver as many newspapers as Franklin.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The linear functions that give the amounts for Franklin and Michael after h hours are given by:
F(h) = 26 + 9h.M(h) = 5 + 12h.They will be equal when:
F(h) = M(h)
Hence:
26 + 9h = 5 + 12h
3h = 21
h = 7
It will take 7 hours for Michael to deliver as many newspapers as Franklin.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Your credit limit is $1,000. What is the max you should ever owe on this card?
= $
Answer:
see the attachment photo!
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
[tex]x = \dfrac{\sqrt{22}}{2}[/tex]
Step by step explanation:
[tex]\text{This is an isosceles right triangle}~ \left(45^{\circ} - 45^{\circ} - 90^{\circ}\right).\\\\\text{Apply Pythagorean theorem,}\\\\~~~~~~\left(\sqrt{11}\right)^2 =x^2 +x^2 \\\\\implies 11 = 2x^2 \\\\\implies x^2 = \dfrac{11}2\\\\\implies x = \sqrt{\dfrac{11}{2}}\\\\\implies x = \dfrac{\sqrt{11}}{\sqrt 2}\\\\\implies x = \dfrac{\sqrt{11}\sqrt 2}{2}\\\\\implies x = \dfrac{\sqrt{22}}{2}[/tex]
hello, please help FAST!!!
Harry and Gwen ride in a bicycle race. Harry clocks 102.62 meters per minute, and Gwen clocks 101.94 meters per minute. What is the difference in their cycling speeds?
best answer will get brainliest
Answer:
0.68 meters per minute
Step-by-step explanation:
102.62 - 101.94 = 0.68, so Harry is 0.68 meters per minute faster than Gwen.
Answer:
0.68 m/min.
Step-by-step explanation:
Given :
⇒ Harry's speed = 102.62 m/min.
⇒ Gwen's speed = 101.94 m/min.
===============================================================
Solving :
⇒ Difference = Harry's speed - Gwen's speed
⇒ Difference = 102.62 - 101.94
⇒ Difference = 0.68 m/min.
You're ordering a sandwich at the local deli, below is a tree diagram of the possible orders. What is the probability that your sandwich has turkey AND swiss cheese?
Answer:
Step-by-step explanation:
1. So there is two bread options but let's ignore that due every option being the same for both bread options.
2. So if you look there are three meat options meaning there is a one in three chance logical chance someone picks turkey (note when I say logical I mean that doesn't mean that this will be true in real life) and there is a one in two logical chance someone picks Swiss cheese.
3. So with a one in three chance logical meat option and a one two chance cheese option and.
4. Now knowing this it is simple math at this point as simple as [tex]\frac{1}{3}[/tex] x [tex]\frac{1}{2}[/tex]
5. 1 x 1 = 1 and 3 x 2 = 6
6. leading to [tex]\frac{1}{6}[/tex]
Select the correct answer.
The graph of the equation y= 3x + 1 is shown below.
y
+x
-8
to
7
-2
8
6
+2+
+
-6-
-8-
2
6
Co
The graph is reflected across the y-axis, then the equation of the new graph will be y = 3⁻ˣ + 1.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The graph of the equation y = 3ˣ + 1 is shown below.
If the graph is reflected across the y-axis, then the equation of the new graph will be
y = 3⁻ˣ + 1
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
Solve by the elimination method. [tex]4x+8y=40\\-4x+y=14[/tex]
Answer:
[tex]x=-2,y=6[/tex]
Step-by-step explanation:
We can add these 2 equations together to eliminate [tex]x[/tex] from the equation, leaving us to solve for [tex]y[/tex].
[tex](4x+8y) + (-4x+y) = (40) + (14)\\9y = 54\\\boxed{y = 6}[/tex]
Now we can solve for [tex]x[/tex] through substituting [tex]y[/tex].
[tex]4x+8y=40\\4x+8(6)=40\\4x+48=40\\4x=-8\\\boxed{x=-2}[/tex]
We can check our answers by substituting [tex]x[/tex] and [tex]y[/tex] into one of the equations and seeing if the equation is true.
[tex]-4x+y=14\\-4(-2)+6=14\\8+6=14\\14=14[/tex]
LHS = RHS so our answers are correct.
The figure is made up of two shapes a semi circle on a rectangle what is the exact perimeter of the
The perimeter of the composite shape is: (3π + 12)mm
What is a semicircle?A semicircle is a part of a circle cut through its diameter.
Analysis:
perimeter of a semicircle = πr
where r = 6/2 = 3mm
perimeter of a semicircle = π(3) = 3π
perimeter of incomplete rectangle = L+2B, L = 6mm, B = 3mm
perimeter of rectangle = 6mm +2 x 3= 12mm
perimeter of shape = (3π+12)mm
In conclusion, the perimeter of the rectangle is (3π+12)mm
Learn more about semicircles :brainly.com/question/285710
#SPJ1
Answer all of these for brainliest?
Answer:
always, always, never, always, always
Step-by-step explanation: brainliest?
Based on your experience, the probability of you scoring a goal in a hockey game is 33.3%. How many goals would you likely score in 12 games?
You would likely score 4 goals in 12 games
How to determine the number of goals?The given parameters are:
Probability, p =33.3%Total number of goals = 12The expected number of goals is calculated as:
E(x) = p * Total
This gives
E(x) = 33.3% * 12
Evaluate
E(x) = 4
Hence, you would likely score 4 goals in 12 games
Read more about probability at:
https://brainly.com/question/251701
#SPJ1
A teacup has a diameter of 6 centimeters. What is the teacup's radius?
Help please.
Answer:
3
Step-by-step explanation:
2r=d
d/2=r
Create a set of five lengths so that:
• Each length is different.
• Each length is a whole number (in inches).
• Each length is shorter than a piece of paper (`11` in.).
• No matter which three you choose, you will never be able to make a triangle.
Explain how you know that your set of lengths meet all the requirements.
Answer:
1, 2, 3, 7, 10
Step-by-step explanation:
okay now that i know i have 31 kids left in my basement let's say instead of auctioning them off let's say that i sell the rest of them for $1000 each on the black market how much money would i make?
wait what how did you get that many
Step-by-step explanation:
Answer: 100000000000
Step-by-step explanation:
black market loves childern