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Answer:
2(6x - 1 + 3x + 2) = 2(9x + 1) = 18x + 2
Related Questions
what are the solutions to the equation
[tex] {x}^{2} = 625[/tex]
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______________________________________________________
or; write as: " x = ± 25 " .
______________________________________________________
QUESTION 1:
The probability that an event will occur is 15%. Which of these best describes the likelihood of the event occurring?
A: Likely
B: Certain
C: Unlikely
D: Impossible
QUESTION 2:
The probability that an event will occur is 1/8 . Which of these best describes the likelihood of the event occurring?
A: Likely
B: Certain
C: Unlikely
D: Impossible
Thanks :)
Answers
2. Unlikely
Can I have Brainliest, please?Thanks!!
what is the surface area of a square pyramid if the base has an area of 16cm2 and lateral faces have a slant height of 12cm?
Answers
Hope this helps <3
Answer:
Surface area of a square pyramid is:
112 cm²
Step-by-step explanation:
The surface area of square pyramid is given by:
S=2bs+b²
Where b is the length of base and s is the slant height.
and Area of base=b²
Here, s=12 cm
and Area of base=b²=16 cm²
⇒ b=4 cm
Hence, Surface Area=2×12×4+4×4
= 112 cm²
Hence, surface area of a square pyramid is:
112 cm²
Sally is making sun tea. Every hour the concentration of the tea doubles. If it takes 6 hours for the tea to be ready how long would it take the tea to reach half of the final concentration?
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It is given Sally is making sun tea. Every hour the concentration of the tea doubles.Let the concentration of tea at start is nil.Then after first hour concentration will be 2.After third hour concentration will be double of 2 that is 4.After fourth concentration will be 4(2)=8.After fifth hour concentration will be 8(2)=16.After sixth hour concentration will be 16(2)=32.
It is given:it takes 6 hours for the tea to be ready.WE need to find how long would it take the tea to reach half of the final concentration.Half of final concentration is 32÷2=16.
Concentration of 16 is after fifth hour.
sixty eight is one fourth of what number
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68 times 4 equals 272.
or if you did 272 divided by 4 you would get 68.
Jose worked n hours at 8.75 per hour.he made a total of 61.25. Write an expression that represents the total number of hours hose work
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The hourly rate is multiplied by the number of hours worked is used to find the total earning, in this case in $61.25.
Need help on #16 ASAP
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c. ΔABC to ΔA"B"C" using translation (x, y) → (x - 2; y - 8)
(Photo) Please help me
Which of the following is an example of empirical probability?
Answers
Answer:
The answer is D, and with the others you aren't experimenting with anything
Step-by-step explanation:
3(x - 9) = -39
solve and check solution
Answers
3x-27=-39
+27 +27
3x=-12
/3 /3
x=-4
3(x-9)= -39
divide both sides by 3
x-9= -13
add 9 to both sides
x= -4
3(-4-9)= -39
-12-27= -39
write a translation rule that maps D(7,-3) onto point (2,5)
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If the location of point D is defined by coordinates (x, y) equal to (7, -3), and the location of point D' is defined by coordinates (x', y') equal to (2, 5), the point D translated becomes point D' means that each point (x, y) is shifted onto the point (x', y'), that is,
(x, y) → (x', y')
Dtranslation = < (x' - x), (y' - y) >
= < 2 - 7, 5 - (-3) >
= < -5, 8 >
Therefore, point D moved 5 units to the left and 8 units up:
D(x, y) → (x-5, y+8)
A factory machine produces 5/10 kilograms of chocolate every 1/6 minutes.
At what rate does the machine produce chocolate?
A. 1/3 kg/min
B. 2/5 kg/min
C. 3 kg/min
D. 6 kg/min
Answers
:) Have a nice day and maybe consider grading this answer brainliest? <3
There are only blue sweets,green sweets and red sweets in a box. The ratio of the number of blue sweets to the number of green sweets is 2:7. The ratio of the number of green sweets to the number of red sweets is 3:1. There are less than 140 sweets in the box. What is the greatest possible number of red sweets in the box?
Answers
Answer:
The greatest possible number of red sweets is 28.
Explanation:
Let g represent the number of green sweets. We know that the ratio of blue to green is 2:7; this means the number of blue sweets is 2/7 the number of green sweets, or 2/7g.
We also know that the number of green sweets to the number of red sweets is 3:1; this means the number of red sweets to the number of green sweets is 1:3, or that the number of red sweets is 1/3 the number of green sweets:
1/3g
We know that there are fewer than 140 total sweets; this gives us the inequality
g + 2/7g + 1/3g < 140
We must find a common denominator; 21 will work:
21/21g + 6/21g + 7/21g < 140
34/21g < 140
Divide both sides by 34/21:
(34/21g)÷(34/21) < 140÷(34/21)
g < 140÷(34/21)
To divide fractions, flip the second one and multiply:
g < 140×(21/34)
g < 2940/34
This means the number of red sweets will be 1/3 of this:
r < 2940/34 × 1/3
r < 2940/102
102 will go into 2940 28 times, so 28 is the largest number of red sweets.
Greatest possible number of red sweets in the box will be 28.
It's given in the question,
Ratio of the number of blue (b) and green sweets (g) = 2 : 7[tex]\frac{b}{g}=\frac{2}{7}[/tex] ⇒ [tex]b=\frac{2}{7}g[/tex] ------(1)
Ratio of the number of green (g) and red sweets (r) = 3 : 1[tex]\frac{g}{r}=\frac{3}{1}[/tex] ⇒ [tex]r=\frac{1}{3}g[/tex] -------(2)
Since, total number of blue, green and red sweets in the box are less than 140,
[tex]b+g+r< 140[/tex]
Substitute the values of 'b' and 'r' from equations (1) and (2),
[tex]\frac{2}{7}g+g+\frac{1}{3}g< 140[/tex]
[tex]\frac{6g+21g+7g}{21}< 140[/tex]
[tex]\frac{34}{21}g< 140[/tex]
[tex]g< \frac{140\times 21}{34}[/tex]
Since, [tex]g=3r[/tex],
[tex]3r< \frac{140\times 21}{34}[/tex]
[tex]r< \frac{140\times 21}{34\times 3}[/tex]
[tex]r<28.82[/tex]
Therefore, greatest possible number of red sweets will be 28.
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LMN≅PQR What is the value of x in degrees?
Enter your answer in the box.
x = °
Answers
Since angle LMN = angle PQR, angle M = angle Q
Since angle Q = 55 degrees, Angle M also = 55 degrees
We know that the three angles of a trainangle should be equal to 180 degrees
So, L + M + N = 180
Angle L is the unkown x
x + 55 + 39 = 180
x +94 =180
x = 180-94
x = 86 degrees
COMPLETING THE SQUARE
2x^2 -4x+3=9
2. QUADRATIC FORMULA
2x^2+4x=0
Answers
FOR COMPLETING THE SQUARE
Make in terms of ()^2 which you can do by adding numbers to both sides. Eventually it will look like this:
(2x - 1)^2 - 7 = 0
Add to both sides, take a square root and then solve.
USE THE QUADRATIC FORMULA
Be sure to solve for zero and be aware of negatives when plugging in.
the denominator of a certain number was 147 greater than its numerator. What was the denominator of this fraction, if after the fraction was reduced it became 5/12
Answers
[tex] \frac{x}{x+147} = \frac{5}{12} [/tex]
[tex]12x=5(x+147)[/tex]
[tex]12x=5x+735[/tex]
[tex]7x=735[/tex]
[tex]x= \frac{735}{7} [/tex]
[tex]x=105[/tex]
Now we can replace 105 in our original fraction to get our number:
[tex] \frac{x}{x+147} [/tex]
[tex] \frac{105}{105+147} = \frac{105}{252} [/tex]
We can conclude that the original number was [tex]\frac{105}{252} [/tex]
in the diagram below bc is an altitude of abd.to the nearest whole unit.what is the length of cd
Answers
AB = √30^2 + 16^2 = 34
These are similar triangles.
∠BAC is congruent to ∠BAD
∠ACB is congruent with ∠ABD (both right angles)
Using ratios:
AC / AB = AB / (AC + CD)
AC + CD = AB² / AC
CD = AB² / AC - AC
CD = 34² / 16 - 16
CD = 56.25
The answer to this question is 56.
The trigonometric function gives the ratio of different sides of a right-angle triangle.The correct option is C.
What is Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Let the length of the line segement CD be represented by x.
In ΔABC, Using the pythgorus theorem, we can write,
AB² = BC² + AC²
AB² = 30² + 16²
AB = 34 units
In ΔABC, the measure of ∠A be written as,
tan(∠A) = BC/AC
tan(∠A) = 30/16
∠A = tan⁻¹ (30/16)
∠A = 61.9275°
Now, in ΔABD, the measure of ∠A can be written as,
Cos(∠A) = AB/AD
Cos(61.9275°) = 34/(AC+CD)
0.47 = 34/(16+CD)
16 + CD = 72.25
CD = 56.25 ≈ 56
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A stop sign has 8 equal sides. If each side is 11 inches in length, what is the perimeter of the stop sign?
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l To finance a bridge costing $94,500, the state contributed twice as much as the county and the county contributed twice as much as the city. How much did each contribute?
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Let x = the amount the city contributes.
The county contributes twice this amount, or 2x.
The state contributes twice as much as the county, or 2(2x)=4x.
Together, they all contribute 94500:
x+2x+4x=94500
Combining like terms,
7x = 94500
Divide both sides by 7:
7x/7 = 94500/7
x=13500
The city contributes 13500.
The county contributes 2(13500) = 27000.
The state contributes 2(27000) = 54000.
Look at the model below and write an expression to match.
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The rectangular blocks are x and the squares are 1 unit. There are 2 x's, or 2x, and 6 units; 2x+6.
Seventy-six people were asked what their favorite meal of the day is. Twenty-eight said lunch was their favorite meal of the day. Thirty-three said dinner was their favorite meal of the day. Eighteen women said their favorite meal of the day was lunch. Nineteen men said their favorite meal of the day was dinner. Thirty-six of the people who were asked are women. please make a table with each paet labeled
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The table of contents for the equations is solved
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The total number of people = 76
The number of people who opted for lunch = 28
The number of people who opted for dinner = 33
The number of males who opted for dinner = 19
The number of females who opted for lunch = 18
The total number of females = 36
Now , the table is created from the following equations
+-----------+-------+---------+-------+
| | Males | Females | Total |
+-----------+-------+---------+-------+
| Breakfast | 11 | 4 | 15 |
+-----------+-------+---------+-------+
| Lunch | 10 | 18 | 28 |
+-----------+-------+---------+-------+
| Dinner | 19 | 14 | 33 |
+-----------+-------+---------+-------+
| Total | 40 | 36 | 76 |
+-----------+-------+---------+-------+
Hence , the equations is solved
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u=1-3v/vt-w make t the subject
Answers
By isolating terms involving 't' and solving for 't', we manage to rearrange the provided equation to get t = (1-u+w)/(3v^2).
Explanation:To rearrange the provided equation u=1-3v/vt-w with t as the subject, we can follow these steps:
Start by isolating terms involving t to one side, i.e., bring all other terms to the opposite side. We get: vt = (1-u+w)/3v.The next step is to solve for t by dividing both sides of the equation by v. Hence, the final rearranged equation is: t = (1-u+w)/(3v2).Learn more about Equation Rearrangement here:https://brainly.com/question/10945620
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1. Suppose the population of deer in a region was 3500 in the year of 2000 since when the population has grown by 3.5% annually what will the approximate population be in the year of 2020 y equals 8 x b x where a is the starting amount B is the growth rate increasing add to 1 and X is time.
2.
The population of New Haven was 148220 in 2004 since when the population has been decreasing at an annual rate of 2.9% if the rate of the decline continues what will the population be in the year 2015
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To calculate future population growth, we use a formula incorporating the initial population, annual growth rate, and number of years. For growth, we add one to the growth rate and raise it to the power of elapsed years, then multiply by the initial population. For decline, we subtract the rate from one and then do similar exponentiation and multiplication.
Calculating Future Population Growth
To calculate the future population of deer given a starting population and a constant annual growth rate, we use the formula y = a(1+b)^x, where 'a' is the starting amount, 'b' is the growth rate, and 'x' is the number of years elapsed. For the deer population, from 2000 to 2020, there are 20 years of growth at 3.5% annually. Using a=3500, b=0.035, and x=20, the calculation is as follows:
Convert the percentage to a decimal: 3.5% becomes 0.035.
Add 1 to the growth rate: 1 + 0.035 = 1.035.
Raise this sum to the power of 20: (1.035)^20.
Multiply the result by the initial population: 3500 * (1.035)^20.
For the New Haven population, which is decreasing at 2.9% annually from 2004 to 2015 (11 years), the steps are similar. However, we subtract the percentage decline from 1 instead since the population is decreasing.
Convert the percentage to a decimal: 2.9% becomes 0.029.
Subtract this from 1: 1 - 0.029 = 0.971.
Raise this to the power of 11: (0.971)^11.
Multiply the result by the initial population of New Haven: 148220 * (0.971)^11.
After performing these calculations, we will get the estimated populations for both the deer and New Haven in the specified years.
Luis earns a base salary of $150.00 every week with an additional 14% percent commission on everything he sells. Luis sold \$6050.00 worth of items last week.What was Luis's total pay last week?
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I hope this helped you
Please I need help with this question
Answers
simplify this expression 3x^2 y^2/24x
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3x ^ 2 y ^ 2 / 24x
Rewriting we have:
(3/24) (x ^ 2 y ^ 2 / x)
Simplifying we have:
(1/8) (xy ^ 2)
Answer:
The simplified expression for this case is given by:
(1/8) (xy ^ 2)
Equation:
3x ^ 2 y ^ 2 / 24x
=(3/24) (x ^ 2 y ^ 2 / x)
SO simplify it is
= (1/8) (xy ^ 2)
The simplified expression for this case is given by:
(1/8) (xy ^ 2)
Describe the domain and range for
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[tex]x + 4 \geqslant 0 \\ x \geqslant - 4 \\ \\ [/tex]
[-4, + infinity)
Domain: [-4,∞),{x | x ≥ -4}
Range: [0,∞),{y | y ≥ 0}
please help ...... ............
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A spinner and 4 cards are shown below: A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them. Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected? 1 over 20 1 over 5 1 over 4 9 over 20
Answers
[tex] |\Omega|=5\cdot4=20\\
|A|=1\\\\
P(A)=\dfrac{1}{20} [/tex]
The probability that the spinner stops at purple and a pink card is selected is 1/20
How to determine the probability?The given parameters are:
Spinner = {Green, Blue, Purple, Yellow, Red}Cards = {Red, Yellow, Blue, Pink}There is 1 purple color on the spinner and 1 pink card in the card.
So, the probability that the spinner stops at purple and a pink card is selected is:
P(Purple and Pink) = 1/5 * 1/4
Evaluate the product
P(Purple and Pink) = 1/20
Hence, the probability that the spinner stops at purple and a pink card is selected is 1/20
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solve the system of equations by substitution ×+y=44 y=10x
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y = 10x
To solve this system by substitution, substitute 10x for y into the top equation.
x + y = 44
x + 10x = 44
11x = 44
x = 4
To find y, substitute 4 for x into either of the original equations; I'll use the bottom equation.
y = 10x
y = 10(4)
y = 40
Lastly, substitute the x- and y-values into both original equations to check work.
x + y = 44
4 + 40 = 44
44 = 44
y = 10x
40 = 10(4)
40 = 40
Answer:
x = 4; y = 40
(4, 40)
We can solve the system of equations x + y = 44 and y = 10x by substitution. When we substitute y = 10x into the first equation, we find that x = 4. Substituting x = 4 into the equation y = 10x gives y = 40.
Explanation:To solve the system of equations by substitution, we first identify the two equations given: x + y = 44 and y = 10x. We can use the second equation as our substitution into the first equation. This gives us x + 10x = 44, which simplifies to 11x = 44. Solving for x, we divide both sides by 11 to get x = 4.
Next, we substitute x = 4 into the second initial equation, y = 10x, which gives us y = 10*4 = 40.
So, the solution to this system of equations is x = 4 and y = 40.
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paula earned a 56% on her science test if she got 14 problems correct then how many questions were on the test
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1% = 14 ÷ 56 = 0.25 questions
100% = 0.25 x 100 = 25 questions
Answer: 25 questions.
Let P = amount of problems on the test.
P = 14 / (1 - 0.56)
= 14/ 0.44
≈ 31.818 repeating.
You can have part of a question (in this math, that is. Partial credit IRL exists) so we round to the nearest whole question, 32.
The test had 32 questions.