Answer:
Some examples are -2/8, -3/12, -4/16.
Step-by-step explanation:
Find an expression for the nth term (tn) in each of the following sequence:
2, 6, 10, 14, 18…
Answer:
The answer is 34
Step-by-step explanation: I just have a big brain
Answer: [tex]t_n = 4n - 2[/tex]
===========================================
Work Shown:
The first term is a = 2 and the common difference is d = 4, since we're adding 4 to each term to get the next term.
[tex]t_n = \text{nth term of arithmetic sequence}\\\\t_n = a+d(n-1)\\\\t_n = 2 + 4(n-1)\\\\t_n = 2 + 4n - 4\\\\t_n = 4n - 2[/tex]
Which is the answer.
--------------------------------
If you were to plug in say n = 3, then we get
[tex]t_n = 4n - 2\\\\t_3 = 4(3) - 2\\\\t_3 = 12 - 2\\\\t_3 = 10[/tex]
showing that 10 is the third term, which matches with what the original sequence shows. I'll let you check the other values of n to fully confirm the answer.
Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football 25 7 Soccer 9 19 Baseball 18 22 If Kyle were to randomly select a girl to explain why she likes the sport chosen, what is the probability that he will pick a girl who likes football? A 12.5% B 27.1% C 40.3% D 44.6%
Answer:
The probability that Kyle will pick a girl who likes football is 12.5%.
Step-by-step explanation:
The data provided is as follows:
Boys Girls Total
Basketball 10 8 18
Football 25 7 32
Soccer 9 19 28
Baseball 18 22 40
Total 62 56 118
Compute the probability that Kyle will pick a girl who likes football as follows:
[tex]P(F|G)=\frac{n(G\cap F)}{n(G)}[/tex]
[tex]=\frac{7}{56}\\\\=0.125\\\\=12.5\%[/tex]
Thus, the probability that Kyle will pick a girl who likes football is 12.5%.
The science center has 200 people in attendance on Monday. The center expects Saturday’s attendance to be 140 percent of Monday’s attendance. Natasha is trying to figure out how many people will be in attendance. Her work is shown below. StartFraction part Over whole EndFraction = StartFraction 140 Over 100 EndFraction StartFraction 140 divided by 2 Over 100 times 2 EndFraction = StartFraction question mark Over 200 EndFraction 140 divided by 2 = 70 70 people will be in attendance. What mistake did Natasha make? Natasha should have multiplied 140 by 2. Natasha should have divided 100 by 2. Natasha should have added 140 and 200. Natasha should have multiplied 140 and 200.
Answer:
A
Step-by-step explanation:
I did math
Answer:
a
Step-by-step explanation:
hope yall have a good day going back to school
Does the table represent a function? Then represent
the relationship using words, an equation, and a
graph.
I need crucial help!
Answer:
This table represents a function
y is 1.3 times x
y=1.3x
Step-by-step explanation:
Which of these transformations occurs when the blades of a fan turn?
a. dilation
b. reflection
c. rotation
d. translation
A person can pay $9 for a membership to the history museum and then go to the museum for just $1 per visit. For a member of the history museum, what is the total cost of 23 visits?
Answer:
$32Step-by-step explanation:
Step one:
Given that membership is $9 and the cost per visit is $1
let the number of visits be x
and the total cost be y
the total cost for the situation is modeled as
y=mx+c-----equation of a line
Step two:
given that x=23, we can solve for the totals cost as
by substituting we have
y=1*23+9
y=23+9
y=32
The total cost for 23 visits is $32
Solve for g.
18 = 3(g + 19)
The computer was regularly priced at $1500. If you order the computer over the Internet, you can save money as the price is only $1200.What percent discount (change) are you getting?
help me pleaseeeeeee
Step-by-step explanation:
Similar triangles
[tex] \frac{6}{uv } = \frac{8}{3} [/tex]
uv=18/8
uv= 2.25
Find the slope of the line containing the points (-2,5) and
(-2,0).
Answer:
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Step-by-step explanation:
Which graph describes the relation {(3, –1), (1, –2), (–3, –2), (5, –5)}?
Compare the two statements below and decide if the phrase: "In a plane," needs to be included in order to make a true statement.
1. In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
versus
2. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
answer choices:
A) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Corresponding Angles Theorem.
B) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Angle Bisector Theorem.
C) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Corresponding Angles Theorem.
D) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Angle Bisector Theorem.
by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas
Step-by-step explanation:
Factor:
25y + 27x
Plz help
Answer:
25y+27x
Step-by-step explanation:
You cannot factor this any further
QUICK WHAT IS 3 2/5X 2 1/3
Answer: 119/15 = 7 14/15
A distrubutor wants to make 1,000 pounds of trail mix that is 8% raisins. He will use a mix that is 5% raisins and a mix that is 20% raisins. How many pounds of each should he use?
Answer:
He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins
Step-by-step explanation:
System of Equations
Let's call
x = pounds of trail mix 5% raisins
y = pounds of trail mix 20% raisins
The distributor wants to make 1,000 pounds of trail mix, thus:
x + y = 1,000 [1]
The mix must be 8% raisings as a combination of x and y, thus:
5x + 20y = 8*1,000 = 8,000
Dividing by 5:
x + 4y = 1,600 [2]
Subtracting [2] and [1]:
4y - y = 1,600 - 1,000
Operating:
3y = 600
y = 200
From [1]
x = 1,000 - y = 1,000 - 200
x = 800
He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins
Answer:
5% raisin mix: 800 lbs
20% raisin mix: 200 lbs
Step-by-step explanation:
Let number of 5% be x; and number of 20% be a.
x + y = 1000
5% · x + 20% · y = 8% of 1000 pounds
0.05x + 0.2y = 80
x = 1000 - y
0.05(1000 - y) + 0.2y = 80
50 - 0.05y + 0.2y = 80
0.15y = 30
y = 200
x = 1000 - y
x = 1000 - 200
x = 800
-1/4 [p+16]=2 help me pls
Answer:
6p
Step-by-step explanation:
PLEASE HELP!!! GIVING BRAINLIST
If x + 2y = 8 and x/2 -y= 10, then x = ?
A)-3
B) 0
C) 10
D) 14
Answer:
D. 14
make y the subject of the formula in equation 1 and then substitute it in equation 2
ILL GIVE BRAINLY THING
Answer:
the slope is -4/3
Step-by-step explanation:
you can either use the graph or algebra to find the slope.
to use the graph, simply count how many spaces up/down and to the left/right that you go.
to use algebra, take the coordinates of your two points and do (y2-y1)/(x2-x1).
what is 100 times 7 plus 23
100 times 7= 700 any number times 100 you would add two zeros, 700+23=723
Hope this helps :]
30 points!!!!!!!!!!!!!!!!!!!!!!! Help ASAP!!! 1.) Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a.
Step 1: Use slope formula* to determine slope (or m) using both points given.
[tex]\frac{9 - 1}{2 - (-2)}\\\\\frac{8}{4} = 2[/tex]
Step 2: Use slope-intercept formula** , ONE of the points given, and the slope we just found to solve for b.
[tex]1 = 2(-2) + b\\\\1 = -4 + b\\\\5 = b[/tex]
Step 3: Now we can set up an equation of this line in slope-intercept form.
[tex]y = 2x + 5[/tex]
*Slope formula: y₂ - y₁/x₂ - x₁
**Slope-intercept formula: y = mx + b
Answer:
The slope calculator helps find the slope of any line through two given points. ... To find the equation of a line for any given two points that this line passes through, use our ... to calculate the slope of the line passing through the points (3,8) and (-2, 10) . ... Make sure that the points you measure from are the same as step 1.
Step-by-step explanation:
In the souvenir shop, Gary finds a shirt and a key chain he would like to buy. The shirt costs $13.75 and the key chain costs $2.33. What will be the total of Gary's souvenirs?
Answer:
$16.08
Step-by-step explanation:
13.75+2.33=16.08
Log. 216 = Y
Solve for Y
What single transformation maps ∆ABC onto ∆A'B'C'?
Answer:
A rotation 90 degrees clockwise
Step-by-step explanation:
please fill in the blanks i need this
Answer:
110
242
Step-by-step explanation:
To get the amount for Number of ships 5. you do 5*22.
Same for the the #11. you do 11*22.
Also, Pick me as the smartest please.In a Jeopardy game, your score was at -450. You got the next two questions correct! First, you answered a 150 point question correctly. Secondly, you answered a 500 point question correctly.
help pls!!!
Answer:
wait what's the question?
Answer:
You would have 200 points
Step-by-step explanation:
-450+150+200=200
The ratio of football players to volleyball players is 7 : 3. If there are 210 football players,
how many volleyball players are there?
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
210 divided by 7 = 30
30 x 3 = 90
Urgent please help, I will truly be grateful
Answer:
I can barley see it but i think i know what to do.
Step-by-step explanation:
First i have to write down on a piece of paper:D
NEED ANSWER ASAP PLEASE HELP!!!
What composition of transformations is equivalent to a rotation of 180°?
Open-ended question
Answer:
90 is correct good job
Step-by-step explanation:
HELPPPPPPP I WILLL GIVE THE BRAINLIESTTTTTTTTTTTT
At Open Skate Night, admission is $4.50 with a membership card and $5.00 without a membership card. Skate rentals are $2.00.
Aidan paid the admission for himself and two friends at Open Skate Night. Aidan had a membership card, but his friends did not. Aidan paid with a $20 bill. How much change should Aidan receive?
Aidan should receive
$_________ in change.
Answer:
50 cents
Step-by-step explanation:
4.50 + 5.00 + 5.00 + 2.00 x 3 = ?
^
20.00 - ?
A = p + prt solve for t
Answer:
t = [tex]\frac{A - p}{pr}[/tex]
Step-by-step explanation:
A = p + prt
A - p = p - p + prt
A - p = 0 + prt
A - p = prt
[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]
[tex]\frac{A - P}{pr}[/tex] = t