Answer: -8,-4,0,4,8,12
Step-by-step explanation:
The six numbers of the arithmetic progression are -8, -4, 0, 4, 8, 12
Arithmetic sequence:aₙ = a + (n - 1)dwhere
a = first term
d = common difference
n = number of terms
d = 4
first term = a
2nd term = a + 4
3rd term = a + (3 - 1) 4 = a + 8
4th term = a + (4 - 1) 4 = a + 12
5th term = a + (5 - 1) 4 = a + 16
6th term = a + (6 - 1) 4 = a + 20
sum of its 6 terms = 12
Therefore,
a + a + 4 + a + 8 + a + 12 + a + 16 + a + 20 = 12
6a + 60 = 12
6a = 12 - 60
6a = -48
a = -48/6
a = -8
2nd term = -8 + 4 = -4
3rd term = -8 + 8 = 0
4th term = -8 + 12 = 4
5th term = -8 + 16 = 8
6th term = -8 + 20 = 12
learn more on arithmetic sequence here: https://brainly.com/question/21107678
8. Archie plotted the points on the graph below to show how the amount he owes for tuition decreases as the number of tuition payments increases. What does the rate of change of the points represent? *
Answer:c
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
There are 16 girls and 18 boys in a class. The teacher chooses a student's name at random to answer a question.
What is the probability that the teacher chooses a girl to answer the question?
A
1
34
O
B.
16
OO
Answer:
8/17Step-by-step explanation:
16 girls and 18 boys in a class
Total number of students:
16 + 18 = 34Probability of choosing a girl:
P(g) = number of girls / total numberP(g) = 16/34 = 8/17julie has 1.50 in quarters how many quarters does julie have
Answer:6 quarters
Step-by-step explanation:
quarter=25 cent
25 times 6 equals 1.50
Answer:
Julie has 6 quarters
Step-by-step explanation:
Please please help please please ASAP please please help please please ASAP please please help please please ASAP please please help please please ASAP please please help
Answer:
37°
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
all triangle = 180
53 + 90=143
180 - 143 = 37
Is a shirt is on sale for a 20% discount what would be the price of an $18 shirt
Answer:
iS 18 THE Price AFTER Discount
Step-by-step explanation:
Answer:
14.40$
Step-by-step explanation:
20% of 18 is 3.6
18-3.6= 14.4
Graph the inequality for X - 3 > 7.
Answer: x>10
Step-by-step explanation:
X-3>7
(X-3) +(-7)>7+(-7)
X-3-7>7-7
X-10>0
(X-10)+10>10
<---8-----6-----4-----2---0----2---4----6---8 (10)-----12->
3) y=-3.x + 5
5x – 4y=-3
solve with substitution
Answer:
x=1,y=2
Step-by-step explanation:
Dana buys a cat pillow for 43.00 the sales tax is 7%?
Answer:
Step-by-step explanation:
43.00 = 100% = 1
7% = 0.07
So to work out the total price you need to times 43 by 1.07 = 46.01
Use the following graph for questions 1 - 4. Rise is the vertical change of
the line from one point to another. What is the rise of the following line? *
A -4
B 4
C 2
D 3
Answer:
C 2
Step-by-step explanation:
because every time you go 1 to the side you also go 2 up
I need the answer ASAP someone help!!
what is 34 to the nearest tenth
Question 21 (5 points)
Saved
The equation 3(4x) = (4x)3 illustrates which property?
O multiplicative inverse
distributive
O commutative
O associative
Answer:
a
Step-by-step explanation:
GIVING OUT BRAINLIEST TO THE PERSON WHO GIVES THE CORRECT ANSWER FIRST!!
question: Do these pairs of values (x and y) represent two quantities that are proportional?
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Answer choices:
A.) Yes, because as x increases, y increases.
B.) No, because not all of the pairs represent the same ratio.
C.) Yes, because all of the pairs represent the same ratio.
D.) No, because not all of the x-values can be divided by 2 evenly.
Answer:
B.) No, because not all of the pairs represent the same ratio.
Step-by-step explanation:
B.) No, because not all of the pairs represent the same ratio.
What is the first step in solving
the equation x - 16 = 4?
A Subtract 16 from both sides of the equation.
B Subtract 4 from both sides of the equation.
© Multiply both sides of the equation by 16.
D
Add 16 to both sides of the equation.
I NEED THIS ASP
Answer:
D.) Add 16 to both sides of the equation
Step-by-step explanation:
By adding 16 to both sides, you are eliminating the -16 on the left. You must do it to both sides in order to balance the equation.
Answer:
D. Add 16 to both sides of the equation
Step-by-step explanation:
n - 31
= 2
4
I really need help with this one
Answer:
55
Step-by-step explanation:55-31=24
Sue is a baker. She has a famous cupcake recipe that calls for 7.5 cups of sugar for every 1.2 cups of butter. How many cups of butter are needed for each cup of sugar?
Answer:
1 cup sugar to 0.16 cup butter
Step-by-step explanation:
i like f ing you in public, she said 'me too'
7.5 cups:1.2 cups butter
1 cup:0.16 cup
What is the slope of the line that goes through the points (-4,-1) and (-2, 9)?
Answer:
2
Step-by-step explanation:
Nate is saving up to purchase a new computer. He has $175 already and can 1 point save $20 per month. How long will it take him to save $515? *
Answer:
17 monthsStep-by-step explanation:
The amount he has = $175The target amount = $515Amount to be saved:
$515 - $175 = $340Number of months:
$340/$20 = 17what is the solution to the graph system graphed below
Answer:
(-4, -1)
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect would be the solution set of the systems of equations.
The distance on a map is 4.5 cm. The scale of the map is 1 : 1000. What is the actual distance?. Single choice.
Answer:
Actual distance is 4500 cm (45 m).
Step-by-step explanation:
A scale is a representative fraction that can be used to either increase or decrease proportionally the dimension of a given object.
scale = [tex]\frac{distance on map}{actual distance}[/tex]
It is in the form of a ratio.
From the question, Distance on map = 4.5 cm,
scale = 1 : 1000
= [tex]\frac{1}{1000}[/tex]
scale = [tex]\frac{distance on map}{actual distance}[/tex]
Let the actual distance be represented by d.
So that,
[tex]\frac{1}{1000}[/tex] = [tex]\frac{4.5}{d}[/tex]
⇒ d = 4.5 x 1000
= 4500
d = 4500
The actual distance is 4500 cm (45 m).
GEW has angle measures given by m/_G=5x + 66, m?/_ E = 3x, and m/_ W= 142 -4x whats the mesure of e
Answer:
21°
Step-by-step explanation:
GEW has angle measures given by m/_G=5x + 66, m?/_ E = 3x, and m/_ W= 142 -4x whats the mesure of e
= 5x + 66 + 3x + 142 - 4x = 180
4x + 208 = 180
4x = 208 - 180
4x = 28
x = 28/4
x = 7
Solving for E = 3x
E = 3 × 7
E = 21°
50 pts and brainliest. Is the ratio of arc length to r always equal to pi? What is it equal to?
Please only answer if you know it, this is super important!! If it's right I'll mark you brainliest!
Answer:
It can sometimes be equal to π. However, it is equal to our central angle.
Step-by-step explanation:
First, recall that arc length is given by:
[tex]s=r\theta[/tex]
Where s is the arc length, r is the radius, and θ is the central angle of the arc in radians.
So, the ratio of the arc length to the radius is:
[tex]\displaystyle \frac{r\theta}{r}[/tex]
The radius r cancels. Hence, we are left with:
[tex]=\theta[/tex]
So, the ratio of the arc length to the radius does not equal π (although it can sometimes if the central angle is π radians (or 180°)). Rather, the ratio is equivalent to the central angle.
So, for example, if we have a circle with radius 7 with a central angle of 3π/2 (this gives us an arc length of 21π/2), then the ratio of the arc length to the radius will be 3π/2 (our central angle).
Answer:
Sometimes it can be equal to π. It is equal to our central angle.
Step-by-step explanation:
Recalling arc length is given by:
Where s is the arc length, r is the radius, and θ is the central angle of the arc in radians.
So, the ratio of the arc length to the radius is:
rθ/θ
The radius r cancels. Hence, we are left with:
= θ
They found that in some people, this activity was reduced when the subjects participated in a
competition as part of a group, compared with when they competed as individuals.
Those people were more likely to harm their competitors than people who did not
exhibit this decreased brain activity.
EXPLAIN THIS QUOTE PLZ
A plant farm sells bundles of rose bushes. Each bundle contains 150 rose bushes and has the same ratio of
hybrid tea roses, climbing roses, tree roses, and miniature roses. A landscaper purchased 1 bundle of rose bushes and
found the bundle contained 9 climbing roses. He buys a second bundle of rose bushes for a large planting job he
needs to complete, bringing his total to 300 rose bushes. How many of the roses being planted will NOT be climbing
roses?
Answer:
282
Step-by-step explanation:
20 POINTS!!!!
b-7/4 = 1/2
explain your thinking
Answer:
B=86
Step-by-step explanation:
So first step is add 74 to 12 because if you subtracted b with 74 and to reverse that you have to add and 74+12=86 and that is what b equals
Which ordered pair is a solution of the equation y=-5/4x -2
a. (-8,8)
b. (-8,-12)
c. (8,-8)
d. (1,-15/4)
PLEASE HELP
Answer:
c
Step-by-step explanation:
i just had that question
Find the slope of the line passing through the points (-7,8) and (-7,-4).
Answer:
slope: -4-8/-7+7=-12/0= undefinedWhat is the interest if the principal is $10,000, the interest rate is 2%, and the time is 8 years?
Answer:
$1600
Step-by-step explanation:
Do 10,000 x 0.02 or move the decimal over 2 places and multiply by the number then take that number and multiply it by 8
63n^3+54n^2-105n-90
Please help me factor by grouping
Answer:3(7n+6)(3[tex]n^{2}[/tex]-5)
Step-by-step explanation:
Which expression represents the greatest common factor (GCF) of 110 and 132?
A. 2 x 11
B. 2 x 5 x 7
C. 2 x 3 x 7
D. 5 x 7
Answer:
(B) 2x5x7
Step-by-step explanation:
Answer:
B
hope this helps! :)