Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
2, 6, 10, 14, 18
An arithmetic sequence has a constant difference and is defined as
[tex]\:a_n=a_1+\left(n-1\right)d[/tex]
compute the differences of all the adjacent terms
[tex]6-2=4,\:\quad \:10-6=4,\:\quad \:14-10=4,\:\quad \:18-14=4[/tex]
The difference between all the adjacent terms is the same.
Thus,
[tex]d=4[/tex]
and
[tex]a_1=2[/tex]
Therefore, the nth term is computed by:
[tex]a_n=4\left(n-1\right)+2[/tex]
[tex]a_n=4n-2[/tex]
Thus, position to term rule of 2, 6, 10, 14, 18 multiply by __4___ and subtract by __2__.
Help ASAP!!! It’s 6th grade work
Julie has two bags of grapes. One weighs 5/8 pound and the ther weighs 1/4 pound. What is the difference in the two bags of grapes?
Answer:
one bag is heavier and the other is lighter.
Step-by-step explanation:
5/8 = more than half a pound
1/4 = less than half a pound
Answer:
3/8
Step-by-step explanation:
You have to make 1/4's denominator match the denominator of 5/8.
By multiplying it by 2.
1/4 =2/8
You then subtract 2/8 into 5/8 to get 3/8
The table below shows the scores on a math test. David 75 Aaron 75 Ashley 60 Gina 75 Andrew 75 Kei 95 Monica 100 Anna 60 Lucas 75 Jennifer 65 The number of standard deviations between a score and the mean score is indicated by a z-score. What was Ashley's z-score on the math test?
a. 1.1
c. -1.1
b. 60
d. -15.5
Answer: c
Step-by-step explanation: good luck everyone
Ashley's z-score for the given table is -1.2.
What is z-score?''A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean.''
From the given table, we can calculate the mean, median, mode and standard deviation.
Therefore, mean = (75 + 60 + 75 + 100 + 75 + 75 + 75 + 95 + 60 + 65) ÷ 10
= 75.5
Median = middle term when scores are arranged in ascending order
= middle term of {60, 60, 65, 75, 75, 75, 75, 75, 95, 100}
= 75
Mode = number that occurs highest in {60, 60, 65, 75, 75, 75, 75, 75, 95, 100} = 75.
Standard deviation = [tex][\sqrt{(x_1-x)^{2}+(x_2-x)^{2}+........+(x_n-x)^{2}]/n[/tex]
= [tex][\sqrt{(75-75.5)^{2}+(60-75.5)^{2}+........+(65-75.5)^{2}]/10[/tex]
= [tex]\sqrt{157.25}[/tex]
=12.54
Therefore, Ashley's Z-score = (Ashley's score - Mean)/ Standard Deviation
= (60 - 75.5)/12.54 = -1.2
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Solve for x in the equation below.
(x - 2) = - 1/4 (x – 8)
Select the correct answer.
A x = 0
B. x = - 5 1/3
C x = - 3 1/5
D. x = 3 1/5
What is the value of x?
155
105
A. 55°
B. 160°
C. 50°
O D. 20°
the question is the photo
Answer:
its A. B. C. D. E.
Step-by-step explanation:
all of it are correct
there are 325 7th graders in 12 classes . determine the unit rate
Whitney's Ice Creamery sold 67 sundaes last week. There were nuts on 41 of the sundaes. What is the ratio of the number of sundaes without nuts to the total number of sundaes?
Need help ASAP plzzz
Answer: D
Step-by-step explanation: i did the math
I need the answers bad
Answer:
53
Step-by-step explanation:
90 - 37 = 53
The directions on a sewing pattern say to cut an extra 15% of fabric to account for error.
Chloe needs 0.75 yard of fabric to make a skirt, and she cuts 0.1125 yard.
Did Chloe cut the correct amount of fabric? Why or why not?
Chloe cut enough fabric because she cut the amount of fabric for the skirt.
Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric.
Chloe did not cut enough fabric because she only cut the amount of fabric for the skirt.
Chloe did not cut enough fabric because she only cut the amount of extra fabric.
Answer:
D
Step-by-step explanation:
She only cut the 15% extra and no the other 75%
Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric. The correct option is B.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that The directions on a sewing pattern say to cut an extra 15% of fabric to account for errors. Chloe needs 0.75 yards of fabric to make a skirt, and she cuts 0.1125 yards.
Calculate the percentage of the fabric from the given data,
Percentage = 0.1125 / 0.75
Percentage = 0.15 x 100
Percentage = 15%
Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric.
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There is a shirt that originally costs $10.00. Now it is 45% off. How much is the shirt after the discount?
Answer:
$5.50
Step-by-step explanation:
1.) The first step is finding what 45% of $10 is. We can do this by turning 45% into a decimal number (45%=0.45). We then multiply 0.45 by the $10.
2.) 0.45×$10=$4.50 ; We just found that 45% of $10 is $4.50
3.) Because the shirt is 45% less than the original price (45% off), we need to subtract the 45% (which is equal to $4.50) from the original price, $10
4.) $10-$4.50=$5.50, the new price
The cost of one pound of bananas is greater than $0.41 and less than $0.50. Sarah pays $3.40 for x pounds of bananas. Which inequality represents the range of possible pounds purchased? 0.41 < 0.41 less than StartFraction 3.40 over x EndFraction less than 0.50. < 0.50 0.41 < 0.41 less than StartFraction x over 3.40 EndFraction less than 0.50. < 0.50 0.41 < 3.40x < 0.50 0.41 < 3.40 + x < 0.50
Answer:
0.41 x < 3.40 < 0.50 x
If there is a whole number of pounds it could be: x = 8 pounds
0.41 * 8 = 3.28, 0.50 * 8 = 4
3.28 < 3.40 < 4
Answer:
Inequality is
0.41 x < 3.40 < 0.50 x
Step-by-step explanation:
Given the answer to a
problem asking you to simplify the expression,
write the possible problem. Explain how you
created the problem.
I really need help I don’t understand this. I will be given 20 points to whoever helps me. Thank you
Find the area, in square units, of ️ABC
Answer:
52 square units
Step-by-step explanation:
For this you need the length of CB and the length of DA.
|CB| = √(10²+2²) = 2√26
|DA| = √(10²+2²) = 2√26
area of ABC = base · height / 2 = 2√26 · 2√26 / 2 = 52
The interior angles of a triangle have measures 100°, (4y+25)°, and (3y+20)°.
What is the value of y?
Enter your answer in the box.
y =
Answer:
The value of y = 5⁰...........
Answer:
y=5
Step-by-step explanation:
All of the angles of Triangle ABC measure 60 o. AB = 3x – 4, BC = 4x – 12 and CA = 5x – 20.
Solve for x and find the length of AB.
Answer:
The length of AB is 20 units
Step-by-step explanation:
The equilateral triangle is the triangle that has 3 equal sides and 3 equal angles, the measure of each angle is 60°
∵ All of the angles of triangle ABC measure 60 °
→ By using the fact above
∴ Triangle ABC is an equilateral triangle
→ That means its 3 sides are equal
∴ AB = BC = CA
∵ AB = 3x - 4
∵ BC = 4x - 12
∵ CA = 5x - 20
→ Equate 2 of them to find x
∵ BC = CA
∴ 5x - 20 = 4x - 12
→ Subtract 4x from both sides
∵ 5x - 4x - 20 = 4x - 4x - 12
∴ x - 20 = -12
→ Add 20 to both sides
∴ x - 20 + 20 = -12 + 20
∴ x = 8
→ To find AB substitute the value of x in its expression
∵ AB = 3x - 4
∴ AB = 3(8) - 4
∴ AB = 24 - 4
∴ AB = 20
∴ The length of AB is 20 units
A treat bag has 2 green gum balls to read gumball and one blue gumball, if you were to reach into the treat bag right as a fraction, with the probability would be that you would randomly choose.
Answer:
2/5 ; 2/5 ; 1/5
Step-by-step explanation:
Given that :
Numbe red gumballs = 2
Number of green gumballs = 2
Number of Blue gumballs = 1
The probability of making a random choice :
Probability = required outcome / Total possible outcomes
Probability of choosing (red) :
P(red) = number of red balls / total number of balls
P(red) = 2 / 5
P(green) = number of green balls / total number of balls
P(green) = 2 / 5
P(blue) = Number of blue balls / total number of balls
P(blue) = 1 / 5
remake of steps to graph a line, if equation is 2x+4y=8
Answer: slope is -1/2 y intercept is (0,2)
Step-by-step explanation: How I Got This Was Using The Slope Formula Y = mx + b to find slope then graphed by using those two points
The distance, d, that a car has traveled, as a function of time, t, is given in the table below. What is the average
rate of change of the distance over the interval 2 < t < 9
Answer: 56 miles/hour
Step-by-step explanation: 498-106=392
9-2=7
392/7= 56 , units- miles/hour
The average rate of change of the distance over the interval 2 < t < 9 is 56 units- miles/hour.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
The distance, d, that a car has traveled, as a function of time, t, is given in the table below.
Difference = 498 - 106
= 392
= 9 - 2
= 7
From the formula:
Rate of change = change in distance/change in time
= 392/7
= 56 units- miles/hour
Thus, the average rate of change of the distance over the interval 2 < t < 9 is 56 units- miles/hour.
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- There are 75 cars at a dealership. 35 are blue or red. Suppose 16 are red and 3 are
both.
How many cars are just blue ?
How many cars are neither blue or red?
Answer:
19 are blue
37
Step-by-step explanation:
35 - 16 = 19
35 + 3 = 38 & 75 - 38 = 37
The Hydro water department has a monthly service charge of $12.90 and a volume charge of $1.67 for every 100 cubic feet of water. The total monthly cost is equal to the service charge plus the charge for the volume used during the month. If we let x represent the number of cubic feet of water (in hundreds) and y represent the total monthly cost, then we have: total monthly cost = volume charge + service charge y = 1.67x + 12.90 If the Johnson family used 200 ft3 more water this month than last month, then they can expect
Answer:
y = $346.90
Step-by-step explanation:
Given:
y = 1.67x + 12.90
Where,
y = total monthly cost,
x = month. If we let x represent the number of cubic feet of water (in hundreds)
If the Johnson family used 200 ft3 more water this month than last month, then they can expect
x = 200 ft³
y = 1.67x + 12.90
y = 1.67(200) + 12.90
= 334 + 12.90
= 346.90
y = $346.90
33 is 90% of what number? Round to the tenths place.
Answer:
36.7
Step-by-step explanation:
Since 33 is 90% of a number, you can divide 33 by 9 to get 3 2/3. This 3 2/3 is 10% of the number, so multiply 3 2/3 by 10 to get 36 2/3. 36 2/3 rounded to the nearest tenth is 36.7, so there's your answer. Hope it helps!
Which graph shows data whose r-value is most likely closest to 0?
A graph shows both axes unnumbered. Points show a downward trend.
A graph shows both axes unnumbered. Points show an upward trend.
A graph shows both axes unnumbered. Points show a downward trend.
A graph shows both axes unnumbered. Points are scattered all over the graph.
Answer:
D. A graph shows both axes unnumbered. Points are scattered all over the graph.
Step-by-step explanation:
The r-value is also known as the correlation coefficient. This number shows how correlated points on a graph are. It ranges from -1 to 1, with numbers being closest to 0 being the least correlated. So a graph in which the points are scattered all over would have an r-value closest to 0 because the points are not correlated. If a graph shows either an upwards or downwards trend that means there is some correlation, therefore having an r-value of around -1 or 1.
Answer:
d
Step-by-step explanation:
edge
What is the equation of the line through (-2,5) and (0,3)?
A. y=-x+3
B. y= x-3
C. y=-x-3
D. y=x+3
Answer:
A. y= -x + 3
Hope this helps!
2.) Find the measure of exterior angle X
Answer:
x = 90
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then
x = ∠ A + ∠ B = 30 + 60 = 90
An employee earns a 12 percent commission rate in the cameras he sells if he earns 384$ in commission what were his total sales
Answer:
I do questions like these a little different than most people so...
384/12= 32 (32 is 1% of his sales)
32*100= 3200
His total sales were $3200.
Find the slope of the line that passes through (4,2) and (9,1)?
Answer: m= -1/5
Step-by-step explanation:
Find the Slope (4, 2) and (9, 1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = _________
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). y₂ − y₁
m = _____
x₂ − x₁
Substitute in the values of x and y into the equation to find the slope.
1 − (2)
m = _____
9 − (4)
Simplify the numerator.
−1
m = _____
9 − (4)
Simplify the denominator.
−1
m = _____
5
Move the negative in front of the fraction.
−1
m = _____
− 5
Answer:
The slope of the line is [tex]\displaystyle -\frac{1}{5}[/tex].
Step-by-step explanation:
We are given two coordinate points:
[tex](4, 2)[/tex][tex](9, 1)[/tex]We are asked to find the slope of the line.
We can use the rise-over-run formula to solve for the slope of the line.
[tex]\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]
However, we firstly need to name our coordinate points.
In math, we can label our coordinates using the following label system:
[tex](x_1, y_1), (x_2, y_2)[/tex]
Therefore, we can also label our coordinates as such:
[tex]x_1 = 4[/tex][tex]y_1 = 2[/tex][tex]x_2 = 9[/tex][tex]y_2 = 1[/tex]Now, we can supply these values into the formula and solve for our slope, or a better known variable, m.
[tex]\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}[/tex]
Therefore, our slope is [tex]\displaystyle -\frac{1}{5}[/tex].
What are the differences between the graphs of y = 2x and y = 2
Answer:
Y=2x has a slope of 2, y=2 has a slope of 0
Step-by-step explanation:
Althea traveled 280 miles at a speed of 70 miles/hour. How much time did she take to cover this distance?