Answer:
1st option
2,4,8,16
Step-by-step explanation:
1st option is not an Arithmetic sequence, it is geometric sequence. Because, the common ratio is 2
the 2nd option has a common difference of 7, so it is arithmetic
the 3rd option has a common difference of 0.5, so it is arithmetic
and 4th option has a common difference of -4. so it is arithmetic
10. 80 machines can produce 4800 identical pens in 5 hours. At this rate
a) how many pens would one machine produce in one hour?
b) how many pens would 25 machines produce in 7 hours?
Answer:
12 and 2100
Step-by-step explanation:
(a)
Divide 4800 by 5 for pens per hour produced by 80 machines.
4800 ÷ 5 = 960 pens per hour
Divide 960 by 80 for pens per hour produced by 1 machine.
960 ÷ 80 = 12
Thus 1 machine produces 12 pens per hour
(b)
Multiply 12 by 7 for pens produce in 7 hours by 1 machine.
12 × 7 = 84 pens per hour
Multiply 84 by 25 for pens produced in 1 hour by 25 machines.
84 × 25 = 2100
Thus 2100 pens are produced by 25 machines in 1 hour
The surface area of a cube is 78 cm^2. What is the volume of the cube, rounded to
the nearest tenth of a cm^3?
Answer:
46.87
Step-by-step explanation:
V=*(A^3/2
)/36
V=*(46.87^3/2
)/36
In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store. He marked down DVD players by 36%, and he marked down stereo tuners by 22%. If DVD players cost $41.60 after the markdown and stereo tuners cost $69.42 after the markdown, which item’s price was reduced by more, and by how many dollars more was it reduced? Round all dollar values to the nearest cent.
Answer:
a) Which item’s price was reduced by more, and by how many dollars more was it reduced?
The DVD player's price was reduced more by $3.82 than the stereo tuner's price.
b) Round all dollar values to the nearest cent.
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
The DVD player's price was reduced by 382 cents more than the stereo tuner's price
Step-by-step explanation:
Lets day the original price of the DVD player was $100
We are told the price was marked down to 36%
36% of $100 = $36
$100 - $36 = $64
We are told the DVD cost $41.60 after the markdown.
Original cost of DVD =
$41.60/$64 × 100 = $65
Lets the original price of the Stereo player was $100
We are told the price was marked down to 22%
22% of $100 = $22
$100 - $22 = $78
We are told the DVD cost $69.42 after the markdown.
Original cost of Stereo =
$69.42/$78 × 100 = $89
DVD = $65 - $41.60 = $23.40 less
Stereo = $89 - 69.42 = $19.58 less
Difference between the DVD and the Stereo is
$23.40 - $19.58 = $3.82
Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
Answer:
The answer is A on edg 2020
Step-by-step explanation:
How many one-half cubes with dimensions of 1/2x1x1 fit in a unit cube? 1
2
4
6
Answer:
Option 2
Step-by-step explanation:
A cube with 1/2 * 1* 1 will have a volume of 0.5 cubic cm
While a unit cube has a volume of 1 cubic cm
So,
2 cubes of these dimensions can fit into a unit cube.
Answer:
2
Step-by-step explanation:
volume of the unit cube:
V = 1 * 1 * 1 = 1
volume of the half-cube:
V = 1/2 * 1 * 1 = 1/2
number of half cubs that fit in unit cube:
1/(1/2) = 2
Answer: 2
Hope is a single taxpayer who earns $45,000 per year in taxable income working as a salesperson. She has $200 in long-term capital gains on an investment that cost her $4,250 to purchase. Compute the tax on her investment to determine the after-tax return on investment (ROI).
A. 3%
B. 4%
C. 5%
D. 7%
E. 8%
Answer:
B. 4%
Step-by-step explanation:
Since Hope earns $45,000 per year in taxable income, she falls under the second tax bracket (income higher than $40,000) for long term capital gains = 15%.
Her total capital gain was $200 x (1 - 15%) = $170 in net after tax earnings
her return on investment = net after tax earnings / total investment = $170 / $4,250 = 0.04 = 4%
Answer: 4%
Step-by-step explanation:
I will mark brainiest if correct Let f(x)=5x−7 and g(x)=x+3. Find f(g(x)) and g(f(x)).
Step-by-step explanation:
f(g(x))= 5(g(x))- 7 = 5(x+3) - 7 = 5x +8
g(f(x)) = f(x) +3 = 5x -7 +3= 5x -4
helppp
Determine the x-intercept of the line whose equation is given:
y = StartFraction x Over 2 EndFraction minus 3
a.
(6, 0)
b.
(negative 6, 0)
c.
(0, three-halves)
d.
(Negative three-halves, 0)
Answer:
A
Step-by-step explanation:
If you put your function in a graphing calculator you will get (6,0)
**BRAINLIEST IF ANSWERED**
Which equation represents a circle that has a diameter of 10 units and a
center at (4,-1)?
(x+4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=5
(x-4)^2+(y+1)^2=25
(x+4)^2+(y-1)^2=10
Answer:
third option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (4, - 1) and r = 10÷ 2 = 5, thus
(x - 4)² + (y - (- 1))² = 5², that is
(x - 4)² + (y + 1)² = 25 ← equation of circle
The local hospital offers an incentive for nurses to work longer shifts. After a regular 8-hour shift, they can make double time on the remainder of their shift. That is, they make twice their salary for each hour they work over 8 hours. Nurse Jane works 12 hour shifts Monday through Friday. Her weekly gross income is $2136.00, what is her base salary?
Answer:
$26.70/hour
Step-by-step explanation:
Let's look at 1 day.
She works a 12 hour shift. For the first 8 hours, she receives her regular hourly salary. That means 8 hours of pay at her regular hourly salary.
Then she works another 4 hours at her overtime pay. Her overtime pay is twice her regular salary, so the extra 4 hours at overtime pay are paid as if they were 8 hours of regular work. In effect, she is earning 16 hours of regular pay per day.
Monday through Friday means 5 days of work per week.
5 days/week * 16 hours/day = 80 hours/week
She is earning as if she were working 80 hours of regular pay per week.
base salary = (gross weekly income)/(effective number of hours in 1 week)
base salary = $2136/80
base salary = $26.70/hour
What is the value of r in the equation?
-1.5(4-1)=-12
-6
Answer:
-4
Step-by-step explanation:
-1.5 (4-r) = -12 Distribute the -1.5.
-6 - 1.5r = -12 Add 6 to both sides.
-1.5r = 6 Divide both sides by -1.5.
r = -4
Answer:
[tex] \boxed{\sf r = - 4} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: r: \\ \sf \implies - 1.5(4 - r) = - 12 \\ \\ \sf Divide \: both \: sides \: of \: - 1.5(4 - r) = - 12 \: by \: - 1.5 : \\ \sf \implies \frac{ - 1.5(4 - r)}{ - 1.5} = \frac{ - 12}{ - 1.5} \\ \\ \sf \frac{ \cancel{ - 1.5}}{ \cancel{ - 1.5}} = 1 : \\ \sf \implies 4 - r = \frac{ - 20}{ - 1.5} \\ \\ \sf \frac{ - 20}{ - 1.5} = 8 : \\ \sf \implies 4 - r = 8 \\ \\ \sf Subtract \: 4 \: from \: both \: sides: \\ \sf \implies (4 - \boxed{ \sf 4}) - r = 8 - \boxed{ \sf 4} \\ \\ \sf 4 - 4 = 0 : \\ \sf \implies - r = 8 - 4 \\ \\ \sf 8 - 4 = 4 : \\ \sf \implies - r = \boxed{ \sf 4} \\ \\ \sf Multiply \: both \: sides \: of - r = 4 \: by \: - 1: \\ \sf \implies - r \times ( - 1) = 4 \times ( - 1) \\ \\ \sf - r \times ( - 1) = r : \\ \sf \implies r = 4 \times ( - 1) \\ \\ \sf \implies r = - 4[/tex]
Maisie has saved up $50 to buy concert tickets, but the tickets cost $125. She is able to earn $15 per day by walking her neighbor’s dogs. How many days will Maisie have to walk the dogs to earn enough money to buy the tickets? Let d = the number of days worked. What equation will you use to solve this word problem? What equivalent equation can you write after combining like terms? How many days will Maisie have to walk the dogs?
Answer:
15d + 50 = 125
15d = 75
5 days
Step-by-step explanation:
Her total must equal $125.
She has $50 so far.
50 + _____ = 125
In the blank, we will put what she will earn by walking the dogs.
Each day she will earn $15. In d number of days, she will earn 15d.
The equation is:
50 + 15d = 125
15d + 50 = 125
We can subtract 50 from both sides to get
15d = 75
Now we solve the equation to find the number of days.
We divide both sides by 15.
15d/15 = 75/15
d = 5
She will need to walk the dogs for 5 days.
B, A, C are the answers
What is the measure of angle D?
Answer:
52
Step-by-step explanation:
Since the sum of interior angles in a quadrilateral is 360°, you have to subrtact all those numbers from 360° in order to get angle D. What I mean is:
360 - (128+126+54)
360 - 308
52
Answer:
52°
Step-by-step explanation:
The trapezoid is a closed figure, meaning all the angles must equal 360°.
1. Set up the equation
128° + 126° + 54° + ∠D = 360°
2. Solve for ∠D
360 - 128- 126- 54 = 52
∠D = 52°
You can also solve this by knowing that in a trapezoid:
∠A + ∠D = 180° and ∠B + ∠C = 180°
1. Set up the equation
128 + ∠D = 180°
2. Solve
180 - 128 = 52
∠D = 52°
Xiao Duo and Xiao Hua have the same number of balloons. After Xiaoduo used 16 balloons, Xiaohua's balloons were 3 times that of Xiaoduo. How many balloons does Xiaohua have?
Answer:
Step-by-step explanation:
Let the number of balloons be X
Xiao Duo = X
Xiao Hua = X
Xiaoduo used 16 balloons = x - 16
Xiaohua balloons x = 3 ( x - 16)
x = 3x - 48
Collect like terms
48 = 3x - x
48 = 2x
Divide both sides by 2
48/2= x
x = 24
Xiaohua has 24 balloons
Simplify 2a(b + a) - 2b(b - a)
Answer:
[tex]4ab + 2 {a}^{2} - 2 {b}^{2} [/tex]Step-by-step explanation:
[tex]2a(b + a) - 2b(b - a)[/tex]
Expand by distributing terms:
[tex]2ab + 2 {a}^{2} - (2 {b}^{2} - 2ba)[/tex]
Remove parentheses:
[tex]2ab + 2 {a}^{2} - 2 {b}^{2} + 2ba[/tex]
Collect like terms:
[tex]2ab + 2ba + 2 {a}^{2} - 2 {b}^{2} [/tex]
Simplify:
[tex]4ab + 2 {a}^{2} - 2 {b}^{2} [/tex]
Hope this helps...
Good luck on your assignment...
The sum of the interior angles of a polygon is 9x³. If x is 3 greater than the number of sides of the polygon, how many sides does the polygon have?
Answer:
n = 7
Step-by-step explanation:
The sum of the interior angles of a polygon is 9[tex]x^2[/tex]. If x is 3 greater than the number of sides of the polygon, how many sides does the polygon have?
The sum of the interior angles of a concave polygon can be found using the formula S = (n - 2)*180.
n= number of sides of the polygon
n-2 * 180 = the sum of the interior angles
9[tex]x^2[/tex]= the sum of the interior angles
9[tex]x^2[/tex]= (n-2) *180
x= 3+ n
9 [tex](3+n)^{2}[/tex]=(n-2) *180
9 (9+6n+n^2) = (n-2) *180
81+54n+9n^2 = (n-2) *180
n = 7
The angles in a triangle are
in the ratio 1:5:6. Work out the
angles in degrees.
Answer:
The angles are 15,75,90
Step-by-step explanation:
Multiply the ratio by x
1x:5x: 6x
The sum of the angles of a triangle are 180
1x+5x+6x = 180
Combine like terms
12x = 180
Divide by 12
12x/12 = 180/12
x =15
Multiply by 15
1*15 : 5*15: 6*15
15: 75:90
12: 60: 72
Let y=5x_1+3x_2+〖9x〗_3 find Mean and variance of y. Where x_1,x_2 and〖 x〗_3 are independent uniform random variable with parameter of x_(1 ) as [2:4] for x_2 as [5:10] and for x_3 as [0:4]?
Answer:
Mean value = 55.5
Step-by-step explanation:
Y = 5X1 + 3X2 + 9X3
CASE 1:
X1 = 2, X2 = 5, X3 = 0
Y = 5(2) +3(5) + 9(0) = 10 + 15 + 0 = 25
CASE 2:
X1 = 4, X2 = 10, X3 = 4
Y = 5(4) + 3(10) + 9(4) = 20+30+36 = 86
The mean value of Y is (25 + 86)/2 = 55.5
The variance from the mean is 30.5
find the value of t perimeter
Answer:
t = 15.2 is the answerStep-by-step explanation:
1. Make an equationnumbers to find perimeter = perimeter
Side + Side + 2 unknown sides = perimeter
12 + 7.8 + 2t = 50.2
2. Simplify like terms19.8 + 2t = 50.2
3. Solve19.8 + 2t = 50.2
-19.8 - 19.8
2t = 30.4
t = 15.24. Check:12 + 7.8 + t + t = 50.2
12 + 7.8 + (15.2) + (15.2) = 50.2
50.2 = 50.2 Correct!Hope this helped,
Kavitha
Answer:
t = 15.2 miles
Step-by-step explanation:
First, let's add the top and bottom numbers together.
7.8 + 12 = 19.8 mi
Next, we subtract that from 50.2 to get the combined value of both t's.
50.2 - 19.8 = 30.4 mi
Finally, we can divide 30.4 by 2 to get the value of t.
30.4 ÷ 2 = 15.2 mi
To check our answer, we can add all the sides up to see if they equal to 50.2. 15.2 + 15.2 = 30.4
30.4 + 12 + 7.8 = 50.2
The 10 students on the Deca Team were trying to decide in what order they should
sit on the bench during the session. In how many different ways can they arrange
themselves from left (next to the coach) to right at the end of the bench)?
Answer:
3628800
Step-by-step explanation:
10 students were trying to decide in how many ways they can arrange themselves from left to right.
There are 10 spaces and 10 students are to be sit.
Let us think of the first student.
10 empty spaces are there, so first student has 10 options.
Now, there are 9 empty spaces, so second student has 9 options.
Now, there are 8 empty spaces, so third student has 8 options.
Now, there are 7 empty spaces, so fourth student has 7 options.
:
:
Last student will have only 1 option.
So total number of ways [tex]= 10 \times 9 \times 8 \times 7 \times .....\times 1 = 3628800[/tex]
OR
Simply we can use the formula:
Number of ways to arrange n persons in a straight line = [tex]n![/tex] = [tex]10! = 3628800[/tex]
Pleas answer this in two minutes
Answer: x=5, y=7
Step-by-step explanation:
Since ΔEFG and ΔHIJ are congruent, we can set the corresponding sides equal to each other.
y+14=3y [subtract both sides by y]
14=2y [divide both sides by 2]
y=7
------------------------------------------------------------------------------------
10x=x+45 [subtract both sides by x]
9x=45 [divide both sides by 9]
x=5
If 40% of the total population of a particular town of 2500 are HIV positive. How many people are HIV negative.
Answer:
1500 people
Step-by-step explanation:
Since 40% are HIV positive (that's a lot of people), 60% will be HIV negative. All you have to do is find 60% of 2500.
60% of 2500 = 0.6 * 2500 = 6 * 250 = 1500
Hope this helps!
Which one doesn’t belong and why?
i think y= b^x because it is only the odd one from the group
A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at random, from the drawer to ensure that a pair of matching-color socks is selected?
Answer:
5.
Step-by-step explanation:
If the first 4 picked are of different colours then the fifth sock must be a match. for one of the four.
a) Complete the table of values for y = 3x – 1
X
-2
-1
0
1
2
3
y
I
-4
5
Answer:
x | y
− 2 − 6
− 1 − 3
0 0
1 3
2 6
hope this helps!
The table of values for the equation y = 3x - 1, is attached.
x y
-2 -7
-1 -4
0 -1
1 2
2 5
3 8
What are equations?Equations are relations between two or more variables, used to find the value of an unknown variable from the known value of other variables.
How do we solve the given question?We are given the equation y = 3x - 1. We are asked to complete the table, for the given values of x: -2, -1, 0, 1, 2, 3.
To find the y variable, for the given x's, we substitute each value of x, one at a time in the equation.
Value of y when x = -2 is, y = 3(-2) -1 = - 6 - 1 = -7.Value of y when x = -1 is, y = 3(-1) -1 = - 3 - 1 = -4.Value of y when x = 0 is, y = 3(0) -1 = 0 - 1 = -1.Value of y when x = 1 is, y = 3(1) -1 = 3 - 1 = 2.Value of y when x = 2 is, y = 3(2) -1 = 6 - 1 = 5.Value of y when x = 3 is, y = 3(3) -1 = 9 - 1 = 8.We put all these values of y, for the corresponding value of x in the table. The completed table is attached.
Learn more about equations at
https://brainly.com/question/4344214
#SPJ2
Find the area of △ABC with side lengths b = 9 and c = 14, and included angle A = 145∘. Round your answer to the nearest tenth.
Answer:
12 as well 45 78 u want to go 89
When a number is added to n plus StartFraction 1 Over 5 EndFraction n equals 24. Of itself, the result is 24. The equation that models this problem is n + n plus StartFraction 1 Over 5 EndFraction n equals 24.N = 24. What is the value n? n = 18 n = 20 n = 21n equals 23 and StartFraction Over 5 EndFraction 5 n = 23n equals 23 and StartFraction Over 5 EndFraction 5
Answer: n = 20
Step-by-step explanation:
Given that the problem goes thus:
When a number, n is added to 1/5 n of itself, the outcome obtained is 24.
Mathematically,
n + 1/5 of n = 24
n + (1/5n) = 24
1n + 1/5n = 24
(5n + 1n) / 5 = 24
6n / 5 = 24
6n = 24 × 5
6n = 120
n = 120 / 6
n = 20
Answer:
B on edg, n=20
Step-by-step explanation:
what is a other name for the set of all x-values
Answer:
its domain
Step-by-step explanation:
Answer:
i believe it is A- range.
Step-by-step explanation:
i took the quiz
Please! Someone help me! You will get a BRAINLIEST if you get this correct!
Answer:
Yes because 9x2+6x=0 when x=-2/3Answer:
option 4
Step-by-step explanation:
Simplify the equation,
9x² + 6x = 3x ( 3x + 2)
9x² + 3x = 3x*(3x + 1)
9x² + 9x + 2 =9x² + 3x + 6x + 2*1
= 3x(3x + 1) + 2(3x + 1)
= (3x+ 1)(3x +2 )
[tex]\frac{10}{9x^{2}+6x}-\frac{1}{9x\frac{}{}+3x}=\frac{10}{3x(3x+2)}-\frac{1}{3x(3x+1)}\\\\=\frac{10(3x+1)}{3x(3x+1)(3x+2)}-\frac{1(3x+2)}{3x(3x+1)(3x+2))}\\\\=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\\\frac{5}{9x^{2}+9x+2}= \frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\\\\frac{5}{(3x+1)(3x+2)}=\frac{10(3x+1)-(3x+2)}{3x(3x+1)(3x+2)}\\[/tex]
Both sides (3x+1)(3x+2) will get cancelled
[tex]5=\frac{10(3x+1)-(3x+2)}{3x}\\[/tex]
Cross multiply,
5(3x) =10(3x+1)-(3x+2)
When x = -2/3, LHS = 5(3x) = [tex]5*3*\frac{-2}{3}[/tex]
= -10
When x= -2/3, RHS = 10(3x+1)-(3x+2)
= [tex]10(3*\frac{-2}{3}+1)-(3*\frac{-2}{3}+2)\\[/tex]
= 10(-2+1) - (-2+2)
= 10 * (-1) -0
= -10
LHS = RHS
So, -2/3 is a solution
There are 130 people in a sport centre, 73 people use the gym, 62 people use the swimming pool, 58 people use the track, 22 people use the gym and pool, 29 people used the pool and track, 25 people use the gym and track, 11 people use all three facilities, how many people use at least two facilities
Answer:
59/130
Step-by-step explanation:
Use the drawing tools to form the correct answer on the grid. Graph a linear function with these key features: positive on (-8, ∞) negative on (-∞, -8) y-intercept of 4 I NEED AN ANSWER ASAP plz help
Answer:
see below
Step-by-step explanation:
The positive/negative information tells you the x-intercept is (-8, 0). The y-intercept information tells you the y-intercept is (0, 4). Those two points are sufficient to let you draw the graph with a drawing tool.
__
A "linear function" is a straight line. This one goes through the points listed above.