Answer:
B
Step-by-step explanation:
We are given that:
[tex]8x-3, \, 4x+1, \text{ and } 2x-2[/tex]
Are consecutive terms of an arithmetic sequence.
And we want to determine the common difference d.
Recall that for an arithmetic sequence, each subsequent term is d more than the previous term.
In other words, the second term is one d more than the first term. So:
[tex]4x+1=(8x-3)+d[/tex]
And the third term is two d more than the first term. So:
[tex]2x-2=(8x-3)+2d[/tex]
We can isolate the d in the first equation:
[tex]-4x+4=d[/tex]
As well as the second:
[tex]-6x+1=2d\Rightarrow \displaystyle -3x+\frac{1}{2}=d[/tex]
Then by substitution:
[tex]\displaystyle -4x+4=-3x+\frac{1}{2}[/tex]
Solve for x:
[tex]\displaystyle -x=\frac{-7}{2}\Rightarrow x=\frac{7}{2}[/tex]
The isolated first equation tells us that:
[tex]d=-4x+4[/tex]
Therefore:
[tex]\begin{aligned} \displaystyle d&=-4\left(\frac{7}{2}\right)+4\\&=-2(7)+4\\&=-14+4\\&=-10 \end{aligned}[/tex]
Our final answer is B.
Answer:
B.) - 10 is the answer.
Step-by-step explanation:
#CarryOnLearningwhat is 4/5 of 320 days
Answer:
256 is the right ama as 4/5*320 is 256
Kelli Rae invested $220,000 in a savings account with simple interest. After 10 years, Kelli Rae had $250,000. What is the interest rate on this account?
Answer:1.36%
Step-by-step explanation:
I just took the exam and my answer was correct.
A drawer contains 18 socks: 5 red socks, 10 white socks, and 3 blue socks. Without looking you draw out a sock, what is the probability of NOT getting a red sock?
Answer:
13/18 which is 72.22% chance of NOT getting a red sock
Step-by-step explanation:
As there are 18 total socks, and 13 of them are NOT red, you have a 13 out of 18 chance, or 13/18, or NOT drawing a red sock. This can be converted to the decimal, 0.7222, or percentage of 0.7222 * 100 = 72.22%
Find the area of this figure
Answer:
216 in2
Step-by-step explanation:
the area of the rectangle is
20(12)=240
area of the triangle is
4(6)= 24
so now we subtract, 240-24= 216 in2
Answer:
228
Step-by-step explanation:
12x8=96 (times 2= 192)
20-(8+8 or 16)=4
4x12=48
------------------------------
6x4=24 (divided by 2 because it is a triangle=12)
48-12=36
------------------------------
192+36=228
Ahhh i need helppp, picture above 12 points for itttt
Answer:
tan R = 45/28 where ∡R=58.11° and tan S = 28/45 where ∡S=38.48°
Step-by-step explanation:
The tangent of a right triangle's angle is equal to the ratio between the triangle's opposite side to its adjacent side.
tan R = 45/28
R = tan^-1(45/28)
R = 58.11°
tan S = 28/45
S = tan^-1(28/45)
S = 38.48°
Which fraction is equivalent to - 3/2
Answer:
3/-2
Step-by-step explanation:
The negative sign applies for the whole fraction
Answer:
I believe its the second one. If I'm wrong, could someone correct me, Thank You.
first to answer correctly gets brainleist if u put a link u get reported so yea. bye thx have a blessed day :).
Answer:
x is 12
Step-by-step explanation:
Equilateral triangles have equal angle measures, and 5 times 12 equals 60.
Which leg is adjacent to 0
Answer:
yes
Step-by-step explanation:
according to my calendar your answer is indeed correctly false
Can someone please help me with math.
Option c. is the correct answer.
can someone help me
whats the answer to this 2-10<=22
Answer:
[tex]infinitely \: many \: solution[/tex]
Step-by-step explanation:
simplify 2 - 10 to -8.
[tex] - 8 \leqslant 22[/tex]
Since -8 ≤ 22 is always true, there are infinitely many solutions.
hence, there are infinitely many solutions for this equation.
school x and school y play eachother in a competition school x has eight more points than school y school x has three times as many points as school y. how many points does each school have?
Answer:
School X has 12 points and school y has 4 points.
please help me with this!!
you have to attach a picture or type the question so we can solve it :)
On this week's homework assignments, Lydia had scores of 85, 78, 92, 98, and 85. Which measure of central tendency would give Lydia the highest score so she could show her teacher that she really understood her assignments?
mean
median
mode
Answer:
median
Step-by-step explanation:
median is the number appearing at the centre or middle after the given numbers.mean is average. mode is the number that appears more times than the others. hope it helps
Answer:
MEDIAN!!! Is the answer
Step-by-step explanation:
Hope it helps ya! :D
What is the probability of getting an even number of dots in tossing a dice once if the ratio of even number to an odd number is 4:7?
Answer:
The probability is 4/11
Step-by-step explanation:
Here, we want to get the probability of getting an even number
Using the given ratio, the total of the numbers is 4 + 7 = 11
The number of even numbers is 4
So the probability of getting an even number will be the number of even numbers divided by the total of the numbers
We have this as 4/11
444444+44444444333333333333333
Answer:
4.4444444e+22
Step-by-step explanation:
Question 4 of 10
Suppose that many large samples are taken from a population, and the
sample proportions center around 0.58. Which of the following is most likely
to be the population parameter?
O A. 0.68
OB. 0.58
O C. 0.78
O D. 0.48
Answer:
A- 0.68
Step-by-step explanation:
0.58 is most likely to be the population parameter, since the sample proportions center around this value.
Option B is the correct answer.
We have,
When many large samples are taken from a population, the sample proportions should converge to the population proportion.
If the sample proportions center around a certain value, that value is likely to be a good estimate of the population proportion.
In this case,
Since the sample proportions center around 0.58, it is likely that the population proportion is also around 0.58.
Therefore,
0.58 is the most likely population parameter.
Learn more about population parameters here:
https://brainly.com/question/30689789
#SPJ7
Help pleaseeeeeeeeeeeeeeeee
Answer:
follow the drawings or u can use that (ayp +xnc
...) both same
someone help pls asap
Answer:
~27.764982043070833894247682407876
Step-by-step explanation:
First, we can add 8+5.5+8 because of the two sides which are 8 and one that is 5.5. That is 21.5.
Then, we must find the diagonal edge. To do that, we can use the pythagorean theorem. It makes a triangle, so given that a^2+b^2=c^c, we can say that 3^2+5.5^2=c^c. Using a calculator, we can find the square root of 39.25, then add it to 21.5.
Answer:
27.8
Step-by-step explanation:
the other person that answered this is right if you but if you wanted rounded to the nearest tenth it would be would be my answer
HELPPP MEE PEOPLE PLSSS NO BOTS OR I WILL REPORT BUT PLEASEEE HELPPP MEEE Find the point-slope equation of the line using the point (7,4) and slope of 3/2
Use the slash key ( / ) to indicate a fraction.
Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5
If this line is given to have a slope of 3/2, let us at least put it in standard form, substituting the point ( 7, 4 ) into the equation afterwards:
y = 3/2* x + b, provided b ⇒ y - intercept,
( 4 ) = 3/2 * ( 7 ) + b,
4 = 21/2 + b,
b = 4 - 10.5,
b = -6.5
Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5
Answer:
Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5
If this line is given to have a slope of 3/2, let us at least put it in standard form, substituting the point ( 7, 4 ) into the equation afterwards:
y = 3/2* x + b, provided b ⇒ y - intercept,
( 4 ) = 3/2 * ( 7 ) + b,
4 = 21/2 + b,
b = 4 - 10.5,
b = -6.5
Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5
Step-by-step explanation:
(NEED HELP ASAP) which equation matches this graph?
Answer:
[tex]the \: second \: equation[/tex]
310-(30x7)=5xk solve for k
Answer K= 20/x
Step-by-step explanation:
The value of k in the given linear equation is 20.
What is a linear equation?A linear equation is an equation where the variable (or variables) has the highest power of one.
Given,
310 - (30 × 7)=5 × k
⇒ 310 - 210 = 5k
⇒ 5k = 100
⇒ k = 100/5 = 20
Learn more about linear equation here: https://brainly.com/question/21835898
#Tag #SPJ2
write the number below in expanded notation
thirteen thousand five
Answer:
1305 in expanded notation form =
1000
+300
+5
:")
Billy bought 25 spinners. Some were $10 and
some were $15. If he spent $295, then how
many of each type did he purchase?
what grade u in ?! i will help u
Billy purchased 9 types of one type and 16 types of another spinner.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
Billy bought 25 spinners.
Let x and y are the type of spinners.
Then, x + y = 25 {equation 1}
Some were $10 and some were $15.
10x + 15y = 295
Simplifying,
2x + 3y = 59 {equation 2}
Multiplying 2 to the equation 1 and subtraction the equation 2,
-y = -9
y = 9
And x = 16
Therefore, each type of spinner is 9 and 16.
To learn more about the system of equation;
brainly.com/question/13729904
#SPJ6
write 0.0501 in scientific notation
Answer:
5.01 x 10^-2
Step-by-step explanation:
Move the decimal two times to the right so it becomes 5.01 and since you moved the decimal to the right the exponent will be negative.
A trapezoid has bases of 20 inches and 30 inches. The height of the trapezoid is 15 inches. What is the area of the trapezoid in square inches? in2
Answer:
375in^2
Step-by-step explanation:
area of a trapezoid is base + base divded by 2 then times that by the height
20 + 30 = 50
50/2 + 25
25 x 15 = 375
Can anyone help me on this please
Answer:
b?
Step-by-step explanation:
Each pound of apple cost 1.35.what is the total cost of the 2.6 pounds of apples
Answer:
$3.51
Step-by-step explanation:
1 pound = $1.35
Ratios:
[tex]\frac{1}{1.35} =\frac{2.6}{x} \\\\x=3.51[/tex]
Answer: 3.51
Step-by-step explanation: Multiply 1.35 by 2.6 and you will get 3.51.
This is because each pound is 1.35 but we want to know how much is 2 pounds and .6.
Doen's short is 4 times larger than helen's but costs half as much. Deon's shirt costs $9.35.How much is helen's short?
Answer:
4.68
Step-by-step explanation:
D=4h large, 1/2h cost
D= 1/2*9.35=cost
D= 1/2*9.35=4.68
Please help me with this question in the picture
J^2(k^6/k^4k^3)^-3
Help
Answer:
I love Math anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
