Step by step explanation:
Step 1:
[tex]2(x-6) + 6 = 4x - 4[/tex]
Step 2:
[tex]⇒2x - 12 + 6 = 4x - 4[/tex]
Step 3:
[tex]⇒2x - 6 = 4x - 4[/tex]
Step 4:
[tex]⇒ - 6 + 4 = 4x - 2x[/tex]
Step 5:
[tex]⇒2x = - 2[/tex]
Step 6:
[tex]⇒x = \dfrac{ - 2}{2} [/tex]
Step 7:
[tex]⇒x = - 1✓[/tex]
[tex]◈verification◈[/tex]
Step 1:
[tex]2( - 1-6) + 6 = 4( - 1) - 4[/tex]
Step 2:
[tex]⇒2( - 7) + 6 = - 4 - 4[/tex]
Step 3:
[tex]⇒ - 14 + 6 = - 8[/tex]
Step 4:
[tex]⇒ - 8 = - 8[/tex]
[tex]†hence \: vertified†[/tex]
For school project to a student Shona and Miguel well record the number of text message each of them sent each day for a 60 day period . The box plot summarize the record data?
The median of Shona data is 35, while the median for Miguel is 40. The range of Shona and Miguel are 35 and 30 respectively
What is a box plot?A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.
The median of Shona data is 35, while for Miguel is 40.
The range of Shona = 60 - 25 = 35
The range of Miguel = 55 - 25 = 30
The median of Shona data is 35, while the median for Miguel is 40. The range of Shona and Miguel are 35 and 30 respectively
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Which of the following is a simpler form of the expression startfraction sine (theta) secant (theta) over cosine (theta) tangent (theta) endfraction? sec theta cos theta csc theta tan theta
The simpler form of the expression [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex] is [tex]\\\rm sec\theta[/tex].
It is given that the expression [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex]
It is required to find the simpler form from the given options.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have the expression:
[tex]\rm= \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex]
We know:
[tex]\rm cos\theta = \frac{1}{sec\theta} \\\\\rm tan\theta = \frac{sin\theta}{cos\theta}[/tex]
By using these trigonometry formulas, we get:
[tex]\rm= \frac{sin\theta sec\theta}{cos\theta tan\theta}\\\\\rm= \frac{sin\theta }{(cos\theta) (cos\theta) \frac{sin\theta }{cos\theta} }\\\\\rm= \frac{1}{cos\theta} \\\\\rm = sec\theta[/tex]
Thus, the simpler form of the expression [tex]\rm \frac{sin\theta sec\theta}{cos\theta tan\theta}[/tex] is [tex]\\\rm sec\theta[/tex].
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Answer:
option A: sec Ø
Step-by-step explanation:
Camille had 30 dollars to spend on 3 gifts. She spent 10 – dollars on gift A and 6 dollars on
gift B. How much money did she have left for gift C? )
Answer:
$14
Step-by-step explanation:
30 - 10 - 6 = 14
Hope this helps
Which lines are parallel? Check all that apply. Lines b, c, d, e, f are cut by transversal a. Clockwise from top left, the angles formed by lines b and a are blank, 89. 5 degrees, blank, blank; by lines c and a are blank, blank, blank, 91. 5 degrees; by lines d and a are blank, blank, 89. 5 degrees, blank; by lines e and a are 88. 5 degrees, blank, blank, blank; by lines f and a are blank, blank, 90. 5 degrees, blank. B is parallel to f b is parallel to d c is parallel to e c is parallel to d d is parallel to f e is parallel to f.
The two parallel lines will be b and d in the given question
What are parallel lines?From the figure, we can see that
Angles formed by lines b and a are 89. 5 degrees
Angles formed by lines c and a are 91.5 degrees
Angles formed by lines d and a are 89.5 degrees
Angles formed by lines e and a are 88.5 degrees
Angles formed by lines f and a are 90.5 degrees
Since the angle formed by line b with a and d with a are equal that is 89.5
so these two lines will never intersect each other
But other lines have varied angles then they can intersect at one point
Thus the two parallel lines will be b and d in the given question
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in a certain algebra two class of 27 students, 11 of them play basketball and 13 of them play baseball. There are five students who play neither sport what is the probability that a student chosen randomly from the class plays basketball or baseball?
Answer:
b
Step-by-step explanation:
i took the test
Determine the y-intercept of the following equation.
(-x+4) (x+2)=y
Answer: (0,8)
Answer:
Step-by-step explanation:
At y-intercept, the value of x = 0
Plug in x = 0 in the equation
(0 +4)( 0+2) = y
y = 4*2
y = 8
Y-intercept (0,8)
A machine only accepts 25₵ coins.
A family has $3.75 to change into 25₵ coins.
How many coins can they get?
Answer:
15.
Step-by-step explanation:
3.75 / 25 = 15.
What is the sum of the first 11 terms in the arithmetic sequence if the first term is -3 and the common difference d is 5.
a.
152
b.
352
c.
402
d.
242
Answer:
d. 242..................
Answer:
d
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 5, thus
[tex]S_{11}[/tex] = [tex]\frac{11}{2}[/tex] [ (2 × - 3) + (10 × 5) ]
= 5.5(- 6 + 50)
= 5.5 × 44
= 242 → d
i will make you Brainliest if you know what fraction is equal to 1.5
Answer:
3/2
Step-by-step explanation:
There are a lot of fractions that equal 1.5, but if you're asking for the most simplified fraction, 3/2 is the answer.
Someone please help fast!!!
What part of the quadratic formula below is the part we call the discriminant?
Iris Setosa is a beautiful wildflower that is found in such diverse places as Alaska, the Gulf of St.
Lawrence, much of North America, and even English meadows and parks. The data in the table were
collected by Dr. Anderson and were published by his friend and colleague R. A. Fisher in a paper entitled
"The Use of Multiple Measurements in Taxonomic Problems" (Annals of Eugenics, part II, pp. 179-188,
1936)
The probability that the average petal length will be between 1.3 and 1.6cm will be 0.5328.
How to calculate probability?From the complete question, x has an approximately normal distribution with a mean of 1.5cm and standard deviation of 0.2cm.
The associated probability for z values will be found in the normal distribution table and the probability will be subtracted. This will be:
= 0.6915 - 0.1587
= 0.5328
In conclusion, the probability that the average petal length will be between 1.3 and 1.6cm is 0.5328.
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Step 1: C = 2r Step 2: 6 = 2r Step 3: r = 6/2 Step 4: r = 3 Step 5: A = 360°/x° × × r^2 Step 6: A = 360°/72° × × (3)^2 Step 7: A = 5 × × (3)^2 Step 8: A = 45
Identify the step where Gwen first made an error
A. Step 5
B. Step 6
C. Step 3
D. Step 7
Answer: A
Step-by-step explanation:
She found the ratio of the circumference to the sector. not the ratio of the sector to the circumference.
(CO 3) On the production line the company finds that 85.6% of products are made correctly. You are responsible for quality control and take batches of 30 products from the line and test them. What number of the 30 being incorrectly made would cause you to shut down production?
Answer and explanation:
There should be 85.6% correctly made products
If there is less than 85.6% correctly made products then production would be shut down
therefore 100-85.6= 14.4% of products can be incorrectly made and not more than that
In 30 batches 14.4% =0.144*30=4.32 products
Therefore there must not be more than 4.32 products incorrectly made in a batch of 30 else production is shut down
Erin needs 1/4 pound of peat moss for
each juniper she plants. How many pounds
of peat moss are required for 10 junipers?
Answer:
do 1/4 x 10=2 1/2
Step-by-step explanation:
Daniel is currently 26 years older than his son. In six years he will be three times older
than his son. How old are both of them now?
Answer: sorr i onlyknow ti ar
Step-by-step:
Daniel is...remember "is" in a word problem means "equal"
So Daniel=x+26. x representing Daniel's son's age which we do not know.
In six years he will be three times his son's age, "times" meaning multiplication.
Daniel+6=3x, so just equate the two equations. So you must solve;
x+26=3x-6. From there I think you could handle things.
Write the equation in point-slope form of the line that passes through the points (4, 7) and (5, 1). Use the first point to write the equation.
Answer:
Step-by-step explanation:
Answer:
[tex]y-7=-6(x-1)[/tex]
Step-by-step explanation:
So first you need to find the slope of the line. You do this by doing [tex]m=\frac{y^{2}-y^{1}}{x^{1}-x^{2}}[/tex]. You would plug the points from the line into the equation to get [tex]m=\frac{1-7}{5-4}[/tex], and when you simplify you would get [tex]m=\frac{-6}{1}[/tex] or [tex]m=-6[/tex]. This means your slope is -6.
Now, point slope form is written as [tex]y-y^{1} = m(x-x^{1} )[/tex] so to write the equation you would plug in the slope and the first point to get [tex]y-7=-6(x-1)[/tex]
please help me omggggg
Answer:
the third one, EF = RQ or FD=QS
Answer:
it is the third box
hope this helps
Can someone help me with this if you can? please and thanks :)))))
Answer:
Rounded: 7.580
Not rounded: 7.5795
Step-by-step explanation:
We fist need to turn the percent into a decimal then we can multiply it :)
8.15 x 0.93
7.580
Have an amazing day!!
Please rate and amrk brainliest!!
determine which of the following are arithmetic
1/4, 3/4, 5/4 , 7/4 , 9/4 ,
80, 70 , 60 ,50 ,40
100, 50, 25 , 12.5
1,2,4,8,16
2/3, 4/3, 8/3 16/3, 32/3
5,10,15,20,25
Step-by-step explanation:
If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence. The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.
Given: A (2, 3) and B(-1,4)
Can someone pls awnser this fast
Answer:
[tex]\sqrt{10}[/tex]
The correct answer is C
Step-by-step explanation:
d=√((x_2-x_1)²+(y_2-y_1)²)
=(−1−2)2+(4−3)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=(−3)2+(1)2‾‾‾‾‾‾‾‾‾‾‾‾√
=9+1‾‾‾‾‾√
=1‾√0
=3.162278
12. At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items? * 1 point 16th customer 300th customer 150th customer 180th customer
Answer:
150th customer
Step-by-step explanation:
To find this we would need the lcm lowest common factor of 30 and 75
LCM 30 = 2,5,3,1
LCM 75 = 3,5,5
H.C.F = 2,3,5,5
= 150
the 150th custome would be getting both gift.
Mike is working on solving the exponential equation 37x = 12; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation.
An equation is marked out by the presence of the equality sign. From the calculation, the solution to the equation is x = 12/37.
What is equation?The term equations refers to any mathematical statement that involves the equality sign.
Here we have the equation; 37x = 12, the first step is to divide both sides by 37 as shown;
37x/37 = 12/37
This leaves us with the result x = 12/37 which is the solution to the equation.
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Given the arithmetic series: 2 + 4 + 6 +. Find the sum of T41 to T47
The series: 2 + 4 + 6 +.... is an arithmetic series
The sum of T41 to T47 is 616
How to determine the sum of the seriesThe series is given as:
2 + 4 + 6 +....
The above series is an arithmetic series with the following parameters:
Initial value, a = 2
Common difference, d = 2
Start by calculating S40 using the sum of n terms formula
[tex]S_n = \frac n2 * [2a + (n - 1)d][/tex]
So, we have:
[tex]S_{40} = \frac {40}2 * [2*2 + (40 - 1)*2][/tex]
[tex]S_{40} = 1640[/tex]
Calculate S47 using the same formula
[tex]S_{47} = \frac {47}2 * [2*2 + (47 - 1)*2][/tex]
[tex]S_{47} = 2256[/tex]
Subtract S40 from S47
[tex]S_{47} - S_{40} = 2256 - 1640[/tex]
[tex]S_{47} - S_{40} = 616[/tex]
Hence, the sum of T41 to T47 is 616
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What is the sum of the values of LuAnn's three cards?
Select the correct answer.
What is the first step when solving the equation below for x?
A) Add 1.9 to both sides of the equation.
B) Divide each side of the equation by 4.
C) Add 0.2 to both sides of the equation.
D) Subtract 0.2 from both sides of the equation.
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answer:
1. by going in circles on this ride we wouldn't fall off due to the seat belts that we fasten both forces are implied to this ride to make us go faster and not fall off
2. Ac=9 Fc=.9
Step-by-step explanation:
since Ac=v^2/r and r=1 and Fc=m(v^2/r) and m=.1 we can use this formula to get 9 and .9
3^2=9 9/1=9
.1(3^2/1)=.1*9=.9
Olivia was pocking up some of her old stuff into a box. A box can hold 8
pounds, but she only filled it up full How much weight was in the bon?
3/5
Answer:
Step-by-step explanation:
2 easy ways:
1. Divide 7 by 3 then multiply by 2
7/3= seven thirds or 2.333
Now multiply by two to get 14 thirds
or 4.666
2. Multiply 7 by 2/3, or 0.666
This way is a lot easier with a
calculator
The weight of the box is 14/3’s or 4.666
What is 480% as a fraction in simplest form?
1. 48/100
12/25
4 4/5
4 80/100
Answer:
48/10
Step-by-step explanation:
The answer is answering "What is 480% as a fraction in simplest form?"
PLEASE HELP!!! I WILL GIVE BRAINLIEST I NEED THESE!!
15. There are 24 more students in the seventh grade class than the number g in the eighth grade class. The seventh grade class has 160 students. Write and solve an equation to find the number of students in the eighth grade class.
16. You rent a canoe for $5 per hour. Your cost before the tax is added is $12.50. Write and solve an equation to find the number of hours that you rented the canoe.
17. The cost (in dollars) of making n birthday cakes is represented by
C = 24n + 35
How many birthday cakes are made when the cost is $395?
Answer:
the fist one = 160 - 24
the second one = 12.50 / 5
Step-by-step explanation:
Answer:
15. equation: g+24=160, and the answer is g=136
16. equation: 5d=12.50, answer is d=3.5 hours
17. 15 cakes are made when the cost is $395
Step-by-step explanation:
15: You know that there are 160 students in 7th grade. This would be on one side of the equal sign. You know that there are 24 more students in the 7th grade class than the 8th grade class. And we know that g represents the number of students in the 8th grade class. So you set up your equation as g+24=160. You would subtract 24 from both sides: g+24-24=160-24, which gives you g=136.
16: You spend $5 an hour, so, on one side, you will have 5. On the other you will have $12.50. We will let d represent dollars, and it will go with the 5 to give us 5d. The equation is 5d=12.50. From there, you will divide 5 from both sides: 5d/5=12.50/5, which gives you d=3.5.
17: So, we have the equation, and we just plug in what we know. So, $395=24n+35. From there, we will subtract 35 from both sides. That would give us $395=24n and we will divide 24 from both sides to give us n=15 cakes.
Sue and Jesse go to a restaurant for lunch. A 8% sales tax is applied to their $24.60 bill. If sue and Jesse add a 16% percent tip after the tax applied,what is the total cost including tip?
Answer:
19.01
Step-by-step explanation:
24.60 - 8% = 22.632
Your going to round and its gonna be 22.63
Now your gonna subtract 16% from 22.63 = 19.0092
If you round your total will be 19.01
I hope this helps!
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