Answer:
Because it’s easier to be alone than without friends if ur a depressed emo like me
Which expression is equivalent to 16w² + 24w + 9
The expression 16w² + 24w + 9 can be written in form as (4w+3)².
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given as:
⇒ 16w² + 24w + 9
To factor this expression, we can use the following steps:
Find two numbers that multiply to 16w² and add to 24w. The two numbers are 4w and 6w.
Create two binomials with the two numbers found in step 1. The binomials are 4w+3 and (4w+3).
Multiply the two binomials together to get the factored form of the expression. The factored form is (4w+3)².
Therefore, the equivalent expression to 16w² + 24w + 9 is (4w+3)².
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How many solutions does the system of equations below have?
5x + y = 8
15x + 15y = 14
no solution
one solution
infinitely many solutions
Answer:
One solution
Step-by-step explanation:
5x + y = 8
15x + 15y = 14
Lets solve using substitution, first we need to turn "5x + = 8" into "y = mx + b" or slope - intercept form
So we solve for "y" in the equation "5x + y = 8"
5x + y = 8
Step 1: Subtract 5x from both sides.
5x + y − 5x = 8 − 5x
Step 2: 5x subtracted by 5x cancel out and "8 - 5x" are flipped
y = −5x + 8
Now we can solve using substitution:
We substitute "-5x + 8" into the equation "15x + 15y = 14" for y
So it would look like this:
15x + 15(-5x + 8) = 14
Now we just solve for x
15x + (15)(−5x) + (15)(8) = 14(Distribute)
15x − 75x + 120 = 14
(15x − 75x) + (120) = 14(Combine Like Terms)
−60x + 120 = 14
Step 2: Subtract 120 from both sides.
−60x + 120 − 120 = 14 − 120
−60x = −106
Divide both sides by -60
[tex]\dfrac{ -60x }{ -60 } = \dfrac{ -106 }{ -60 }[/tex]
Simplify
[tex]x = \dfrac{ 53 }{ 30 }[/tex]
Now that we know the value of x, we can solve for y in any of the equations, but let's use the equation "y = −5x + 8"
[tex]\mathrm{So\:it\:would\:look\:like\:this:\ y = -5 \left( \dfrac{ 53 }{ 30 } \right) +8}[/tex]
[tex]\mathrm{Now\:lets\:solve\:for\:"y"\:then}[/tex]
[tex]y = -5 \left( \dfrac{ 53 }{ 30 } \right) +8}[/tex]
[tex]\mathrm{Express\: -5 \times \dfrac{ 53 }{ 30 }\:as\:a\:single\:fraction}[/tex]
[tex]y = \dfrac{ -5 \times 53 }{ 30 } +8[/tex]
[tex]\mathrm{Multiply\:-5 \:and\:53\:to\:get\:-265 }[/tex]
[tex]y = \dfrac{ -265 }{ 30 } +8[/tex]
[tex]\mathrm{Simplify\: \dfrac{ -265 }{ 30 } \:,by\:dividing\:both\:-265\:and\:30\:by\:5} }[/tex]
[tex]y = \dfrac{ -265 \div 5 }{ 30 \div 5 } +8[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]y = - \dfrac{ 53 }{ 6 } +8[/tex]
[tex]\mathrm{Turn\:8\:into\:a\:fraction\:that\:has\:the\:same\:denominator\:as\: - \dfrac{ 53 }{ 6 }}[/tex]
[tex]\mathrm{Multiples\:of\:1: \:1,2,3,4,5,6}[/tex]
[tex]\mathrm{Multiples\:of\:6: \:6,12,18,24,30,36,42,48}[/tex]
[tex]\mathrm{Convert\:8\:to\:fraction\:\dfrac{ 48 }{ 6 }}[/tex]
[tex]y = - \dfrac{ 53 }{ 6 } + \dfrac{ 48 }{ 6 }[/tex]
[tex]\mathrm{Since\: - \dfrac{ 53 }{ 6 }\:have\:the\:same\:denominator\:,\:add\:them\:by\:adding\:their\:numerators}[/tex]
[tex]y = \dfrac{ -53+48 }{ 6 }[/tex]
[tex]\mathrm{Add\: -53 \: and\: 48\: to\: get\: -5}[/tex]
[tex]y = - \dfrac{ 5 }{ 6 }[/tex]
[tex]\mathrm{The\:solution\:is\:the\:ordered\:pair\:(\dfrac{ 53 }{ 30 }, - \dfrac{ 5 }{ 6 })}[/tex]
So there is only one solution to the equation.
At a local high school,the probability that the student speaks kankanaey and ilocano is 40%.The probability that a student speaks kankanaey is 70%.What is the probability that the student speaks ilocano given that he speaks kankanaey?
Using conditional probability, it is found that there is a 0.5714 = 57.14% probability that the student speaks ilocano given that he speaks kankanaey.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are given as follows:
Event A: Student speaks kankanaey.Event B: Student speaks ilocano.Hence, the parameters are given as follows:
[tex]P(A \cap B) = 0.4, P(A) = 0.7[/tex]
Then, the probability that the student speaks ilocano given that he speaks kankanaey is given by:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714[/tex]
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PLS HELP Look at the linear equation. x - 6 = 1/4x - 9 Determine which steps are needed to solve the equation by selecting Yes or No. A Add 14x to each side. Yes, No B Subtract 14x from each side. Yes, No C Add 6 to each side. Yes, No D Subtract 6 from each side. Yes, No E Multiply each side by 34. Yes, No F Multiply each side by 43. Yes No
Answer:
Subtract 1/4x from each side (Yes)
Answer:
no, yes, yes, no, no, yes
Step-by-step explanation:
An electric utility worker wants to anchor a guy wire from the top of a 20.4-foot utility pole to a spot that is 8.5 feet from the base of the pole on level ground. How long does the guy wire need to be? Round your answer to one decimal place.
The length of the guys wire should be = 22.1 feet
Using pythagorean theorem in geometryThe pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides.
Therefore,
[tex]c {}^{2} = 20.4 {}^{2} + 8.5 {}^{2} [/tex]
[tex]c {}^{2} = 416.16 + 72.25[/tex]
[tex]c {}^{2} = 488.41[/tex]
[tex]c = \sqrt{488.41} [/tex]
c = 22.1 feet.
Where c represents the length of the guys wire
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13<2x<24 I need help in this questions pls help me asap
Answer:
13/2<x<12
or (13/2, 12)
Step-by-step explanation:
break the promblem into two seperate equations and solve.
solve for x using logarithm:
25^x-3(5^x)=0
Answer:
[tex]x = 0.68[/tex]
Step-by-step explanation:
We would like to find out the value of x using logarithms of the given equation .The equation is ,
[tex]\longrightarrow 25^x - 3(5^x)=0\\[/tex]
Add [tex]3(5^x)[/tex] on both sides,
[tex]\longrightarrow 25^x = 3(5^x) [/tex]
Using log to the base 10 on both sides, we have;
[tex]\longrightarrow log_{10}(25^x) = log_{10}\{3(5^x)\}[/tex]
Recall that [tex] log(ab ) = log\ a + log\ b [/tex] .
[tex]\longrightarrow log_{10}(25^x)=log_{10}3 + log_{10}5^x [/tex]
Recall the properties of logarithm as [tex] log\ a^b = b\ log\ a [/tex] .
[tex]\longrightarrow xlog25 = log_{10}3 + xlog_{10}5 [/tex]
Again we can rewrite it as ,
[tex]\longrightarrow xlog(5^2)=log_{10}3+xlog_{10}5\\ [/tex]
[tex]\longrightarrow 2x\ log_{10}5 = log_{10}3+xlog_{10}5 \\ [/tex]
[tex]\longrightarrow 2x\ log_{10}5-x\ log_{10}5 = log_{10}5 [/tex]
Simplify,
[tex]\longrightarrow x\ log_{10}5=log_{10}3 [/tex]
Divide both sides by log5 ,
[tex]\longrightarrow x =\dfrac{log_{10}3}{log_{10}5} [/tex]
Put on the values of log 3 and log5 ,
[tex]\longrightarrow x =\dfrac{0.47}{0.69} [/tex]
Simplify,
[tex]\longrightarrow \underline{{\underline{\boldsymbol{ x = 0.68}}}}[/tex]
And we are done!
PLEASE HELP ME ASAP! Math 7th grade. Worth 38 points.
Answer:
Part A. x = 45°
Part B. Acute triangle
Step-by-step explanation:
Hope this help you.
Uh...I need help about my speaking.
Can you give me some tips and important things about "Myself" speaking?
Step-by-step explanation:
85+50+x=180
135+x=180
x=180-135
x=45
A) 45 degrees
B) 45 degree is a acute angle.
A number times four is six less than twice the number find the number
Answer:
The number is -3
Step-by-step explanation:
First, let's translate the statement into an equation.
4x = 2x - 6Step 1: Subtract 2x from both sides.
[tex]4x-2x=2x-6-2x[/tex] [tex]2x=-6[/tex]Step 2: Divide both sides by 2.
[tex]2x/2 = -6/2[/tex] [tex]x=-3[/tex]Therefore, the number is -3/
If the number times four is six less than twice the number then the number will be -3.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to find number?let the number be x.
According to the questions the following equation can be made:
4x=2x-6
We have multiplied by 4 with the number and 2 with number and subtracted 6 because it is given that 4 times the number is equal to twice the number less 6.
Now we have to solve the equation for x.
4x-2x=-6
2x=-6
x=-6/2
x=-3
Hence if the number times four is six less than twice the number then the number will be -3.
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A raccoon travels 113 miles in 0.8 hours
How fast did the raccoon travel in mles
per hour? Round to the nearest tenth
113 in .8 hours
113 / 4 in .2 hours
28.25 in .2 hours
28.25 * 5 in 1 hour
141.25 in 1 hour
141.3 mph
6. James delivers 435 circulars in 3 hours. At this rate, how many circulars can he deliver in 4 5 hours?
Answer:
580 circulars
Step-by-step explanation:
Formula: Number of circulars divide by Hours
435 circulars / 3 hours = x circulars / 4.5 hours
145 circulars / 1 hour = x circulars / 4 hours
(145 circulars / 1 hour) * 4 hours = x circulars
580 circulars = x circulars
x = 580 circulars, delivered in 4 hours
Hence, at this rate James will delivers 580 circulars in 4 hours.
[RevyBreeze]
James will be able to deliver 600 circulars in 4 hrs
The graph of a function f is shown below find f(0). i don’t really understand these but I have to get this lesson done for class.
Explanation:
Locate x = 0 on the x axis number line.
Then move up or down until you reach the blue curve. In this case we move upward.
You should arrive at y = 4
This means (x,y) = (0,4) is a point on the blue cubic curve, and that f(0) = 4.
Which statement about the possible designs is true, given the owner’s requirements? three circular displays can be placed in one row, exactly as shown on the given grid. two circular displays can be placed so they are each the same distance from the cashier’s station. the maximum number of circular displays that can be used is 4. the maximum number of circular displays that can be used is 5.
Answer:
The maximum number of circular displays that can be used is 4.
Or C on edge
Step-by-step explanation:
i need it in 5 mins please
Answer:
hope u understand
180°-142°=38°
x=38°
here is your answer
mark as brilliant and follow pls
Answer:
142
Step-by-step explanation:
because it is an obtuse angle and it is equvilent to an exteroir angle which is also 142 degrees
pls mark brainliest
In New York, state sales tax is 8. 5%. If a book cost 12. 99 what is the total cost Simon will pay for a book
Answer:
14.09415
Step-by-step explanation:
A group of 125 teenagers were asked which of the following activities they would most likely choose to spend their free time doing: reading a book, watching television, playing video games, or listening to music. The results are displayed in the circle graph below.
How many teenagers chose to listen to music?
a. 40
b. 50
c. 45
d. 35
Answer:
D. 35 of teenagers chose to listen to Music
Step-by-step explanation:
We are given the following info
The percentage of teenagers listening to musicthe total number of TeenagersAll we have to do next is find the percentage of Teenagers that Listened to music which is already given to us: 28%
Now we find 28% of 125 and we get 35 teenagers
Hope I could help
Answer:
35
Step-by-step explanation:
28%of 125 = 35
16% of 125 = 20
24% of 125 = 30
32% of 125 = 40
Samara runs 4 miles in 38 minutes. If she continues running at the same pace, how many minutes will it take her to run 12 miles?
Enter the correct answer in the box.
Answer:
114 minutes
Step-by-step explanation:
samara runs 4 miles in 38 minutes
---------------------------------------------------
time taken to cover a distance of 12 miles:
4 miles in 38 minute12 ÷ 4 = 33 × 38 minutes114 minutesmany minutes will it take her to run 12 miles is 114 minutes
Evaluate the expression.
(65 + (1/5x 5) + 6) = 9
Let's verify
65+(1/5×5)+565+671As LHS not equal to RHS
This is not trueI NEED HELP!! also please be sure its the right answer!!
See the attached picture with the solution.
Please Help 20 Points
Answer:
2nd one
Step-by-step explanation:
Just the 2nd one
Answer:
B Is the answer.Step-by-step explanation:
The given curve will not pass through the even power. So when x=2, it will touch the x- axis at x=2, but not pass through it.Hope this helpsto make fruit punch, susannah mixes lemonade with orange juice in the ratio of 5:9. she uses 10 cups of lemonade. how many cups of orange juice does she have? Please use proportions and show work
Answer:
18:1
Step-by-step explanation:
24. 123456 is the code for FATHER, 4526 is the code for?
FATHER = 123456
That means that each letter of father represents the following numbers:
F = 1A = 2T = 3H = 4E = 5R = 6Now,
Let's see the given code
4526
Which letters are they representing, Let's see:
4 = H5 = E2 = A6 = RThus, 4526 is the code for the word Hear...
Find the volume of the following cylinder. Use π=3.14
V=
Answer:
it would be approx. 3015.93cm3
Step-by-step explanation:
Hope it helps!!!!
1. What is the side length of Cube B?
2. What is the volume of Cube A?
3. What is the volume of Cube B?
Answer:
1. 8 cm
2. 64 cm
3. 512 cm
Step-by-step explanation:
The side lengths of cube are 8
The formula for volume is the length*width*height
A-4*4*4
4*4*4=64 cm
B-8*8*8=512 cm
Answer:1. 8 cm2. 64 cm3. 512 cmStep-by-step explanation:The side lengths of cube are 8The formula for volume is the length*width*heightA-4*4*44*4*4=64 cmB-8*8*8=512 cm
400 people are asked if they drink tea. 7/10 say yes and 20% of the people who say yes drink at least 3 cups each day. Complete the frequency tree
Answer:
The problem is not shown:
7 / 10 = 70 %
70% of 400 = 280 drink tea
20% of 400 = 80 drink at least 3 cups / day
(70 - 20)% of 400 = 200 drink tea but not as much as 3 cups / day
30% of 400 = 120 do not drink tea
17. 5 percent of 120 can be worked out using the following method
what's 5 divided by 3 1/3?
Answer:
1.5
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction.
Mark me brainliest!!
Given the graphs of f(x) = 2x + 1 and g(x) = 5x – 2, what is the solution to the equation f(x) = g(x)?A)0B)1C)3D)–2
Answer:
x=1
Step-by-step explanation:
f(x) = 2x + 1
g(x) = 5x – 2
f(x) = g(x)
2x+1 = 5x-2
Subtract 2x from each side
2x+1 = 5x-2-2x
1 = 3x-2
Add 2 to each side
1+2 =3x-2+2
3 = 3x
Divide by 3
3/3 =3x/3
1 =x
May I have help with this quickly, please? Thank you! :D
Answer:
220
Step-by-step explanation:
First you divide 15 by 2 then you take the answer and multiply the 1750 . Last but not least you divide the answer by 60 to get your answer
Necesito la respuesta con explicación de:
(6+5)-16
PEMDAS is the way to solve these types of equations
[tex](6+5)-16=(11)-16 = 11 - 16 = -5[/tex]
Hope that helps!