Step-by-step explanation:
a=13d=13-9=4[tex]{:}\longrightarrow[/tex][tex]\sf S_n={\dfrac {n}{2}}\left [2a-(a-1)d\right][/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf S_101={\dfrac {101}{2}}\left [26 (12)4\right] [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 50.5×1248 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf S_101=63504[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_n=a+(n-1)d [/tex][tex]{:}\longrightarrow[/tex][tex]\sf a_101=13+(101-1)-4 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_101=13+100(-4)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 13-400 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a_101=-387 [/tex]
A group of four friends attend a movie. The expression below represents the total
amount of dollars spent by the group after purchasing four tickets, P small bags of
popcorn, and D drinks,
32 + 5P + 3D
Question Requirement:
Simplify expression that represents the total cost of tickets and snacks or beverages
Answer:
The total cost of tickets, snacks and beverages =
$54
Step-by-step explanation:
The first thing here is to ascertain the prices of each item (ticket, a bag of popcorn, and drinks). We assume that the price of the ticket is $8 (32/4) since there are four tickets for four friends, and $8 x 4 = $32. Now, we also assume that a small bag of popcorn costs $2 while drinks cost $4 each.
From the equation, we can ascertain that 5 bags of popcorn were bought while 3 bottles of drinks were purchased.
Since the total cost spent is represented by the expression,
32 + 5P + 3D
Therefore, the total cost spent by the four friends
= 32 + (5 * 2) + (3 * 4)
simplifying the above expression
= 32 + 10 + 12
= $54
Answer:
just gonna snatch these points if u dont mind
Step-by-step explanation:
3. Repeat this process to find the width and height of a newer 48-inch television whose
screen has an aspect ratio of 16:9.
Do not include units in your answer - write only the Mumber rounded to the nearest tenth
What is the height?
Answer:
23.5"Step-by-step explanation:
Please see attached a sketch of the television
the size of a television is described by the length of its diagonal in inches.
in this case, the diagonal of the television is 48"
we are told that the aspect ratio is 16:9
hence the dimension of the television as seen from the draft is
length= 16x
height=9x
Applying Pythagoras theorem
(16x)^2+(9x)^2= 48^2
256x^2+81x^2=2304
337x^2=2304
divide both sides by 337 we have
x^2=2304/337
x^2=6.8367
x=√6.8367
x=2.6
What is the height
H=9x
=9(2.6)
=23.5"
solve the following a/5 + 3=8
Answer: a = 1
You want the letters on the left and all numbers on the right. First you must get rid of the three so to get rid of it you must take it away (a/5=8-3). = a/5=5. Then you want to have the a by itself and so divide by 5. (a=1)
Thanks for the help ;)
Answer:
A.
Step-by-step explanation:
Answer: 75 per month
Step-by-step explanation:
Find the rate of change
Answer:
The rate of change of function is: 2
Step-by-step explanation:
Using the given table we have to exclude two pairs of input and output.
The rate of change or slope of function is given as:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
We take first two pairs of input/output from the table
(x1,y1) = (1,11)
(x2,y2) = (2,13)
Putting the values
[tex]m = \frac{13-11}{2-1}\\m =\frac{2}{1}\\m = 2[/tex]
Hence,
The rate of change of function is: 2
8. Rectangles AFGE and A B C D are similar; FG = 4 centimeters, EG = 6 centimeters
centimeters.
AC
15 cm
4 cm
G
6 cm
E
D
What is the length of BC in centimeters?
Answer:
14
Step-by-step explanation:
i got it right and you can tell that they are almost the same size.
BE is the diameter of circle A. What's the measure of ∠BCE?
Diagram below
Question options:
1)
88°
2)
90°
3)
180°
4)
93°
Answer:
2. 90°
Step-by-step explanation:
According to the central angle theorem, an inscribed angle is always twice the measure of the central angle.
Thus, the central angle A, is 180°, because it is a straight angle.
Therefore, the measure of the inscribed angle, <BCE would be ½ of 180°.
m<BCE = 90°
16. [-12 Points]
DETAILS
CURRENMEDMATH11 3.S.001.
Solve the equation. A calculator may be used.
Express your answer to the nearest tenth.
0.8 1.4.
X
0.45 1
Express your answer to the nearest hundredth.
1.4
0.8
Х
0.45
=
1
Answer:
Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.
What is the equivalent amount in year ten of an expenditure of $5,000 in year one, $6,000 in year two, and amounts increasing by $1,000 per year through year ten?
Answer:
The correct answer is the equivalent amount is $139,059.41
Step-by-step explanation:
According to the scenario, the computation of the equivalent amount in year ten is shown below;
= $5,000 × (P/A, 10%,10) + $1,000 × (P/G, 10%,10)
= $5,000 × 6.1466 + $1,000 × 22.8913
= $30,723 + $22,891.30
= $53,614.30
Now the equivalent amount is
= $53,614.30 × (F/P, 10%,10)
= $53,614.30 × 2.5937
= $139,059.41
Hence, the equivalent amount is $139,059.41
Write 32 +24 as a product of two factors using the gcf and the distributive property
Answer:
4 * 14
Step-by-step explanation:
Given
32 + 24
Required
Write as a product of two factors
First, we need to get the GCF of 32 and 24
The factors of 32 and 24 are:
[tex]32 = 1, 2, 4, 8, 16, 32.[/tex]
[tex]24 = 1, 2, 3, 4, 6, 8, 12, 24[/tex]
The GCF (greatest common factor) is 8
So, the expression 32 + 24 can be rewritten as:
[tex]32 + 24= 4(8 + 6)[/tex]
Add 8 + 6
[tex]32 + 24= 4(14)[/tex]
[tex]32 + 24= 4 * 14[/tex]
Hence,
32 + 24 can be rewritten as 4 * 14
Answer:
it is 8 (4+3) !!!! I just did the question! :)
Step-by-step explanation:
Can someone please answer number 35
Answer:
I can't understand.
this is very dark
Consider the equation 1.5x+4.5y=18. Where does the graph intersect the y-axis? *
Answer:
intersect y axis at (0,4)
Step-by-step explanation:
lemme know if u need work
PLZ HELP ME!! BRAINILEST IF RIGHT!!!
Answer:
I believe that the answer is B)
what is the sum of 26391 and 7298
Answer:
..............
Step-by-step explanation:
33689
subtract -2/3- (-2/5)
Answer:
- 4/15
Step-by-step explanation:
The - and - make a + so -2/3 + 2/5
HOPE THIS HELPS
PLZ MARK BRAINLIEST
4.Given AABC, with AB = 5cm, BC = 7cm and AC = 8cm, what is the area of the triangle?
at is the equation of the line passing through the points (2/5, 19/20) and (1/3, 11/12) slope-intercept form? y = 1/2 * x - 3/4 y = 1/2 * x + 3/4 y = 3/4 * x - 1/2 y = 3/4 * x + 1/2
Answer:
Step-by-step explanation:
2/5, 19/20) and (1/3, 11/12) in slope-intercept form? ... B. y = 1/2x + 3/4 ... D. y = 3/4x + 1/2 ... [tex]3}^{2}x = \frac{1}{?27} [/tex]find x.
Find the lcm of 300,400 and 500
Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to flip the coin in order to obtain a 95% confidence interval of width of at most .18 for the probability of flipping a head
Answer:
AYOOOOO MONEY CHECK
Step-by-step explanation:
2.
Jamie used a microscope to measure the diameter of a hair. She found that the
diameter of the hair was 0.000072 meter. How is this number written in scientific
notation?
A. 7.2x10.5
B. 7.2 x 106
C.7.2 x 105
D.7.2 x 10
Type Your
Answer:
7.2 *10⁻⁵
Step-by-step explanation:
Given the diameter of the hair expressed as 0.000072, we are to express it in scientific notation.
The standard form of scientific notation is expressed as;
A * 10ⁿ
A is a value from 1 to 9
n is any integer.
Rewriting 0.000072 in this form, we will need to shift the decimal point to the front 5 times to have;
0.000072 = 7.2 *10⁻⁵ where;
A = 7.2 and n = -5
Note that the power is a negative value since the value is less than 1.
need a math genius to help
Answer:
Angle 8
Step-by-step explanation:
Angle 8 is the corresponding angle to angle 4. Corresponding angles are angles that are in the same relative position at each intersection. Since the lines are parallel they are also congruent. If you look at the lines both angle 8 and 4 are on the bottom right side of the intersection, therefore they are corresponding angles.
Please help with this as soon as you can. No idea how to do it so please help me.
Answer:
niether i think
Step-by-step explanation:
I need help with this question???
Answer:
X = 27
just trust me, im doing similar work as you
Answer: X = 27
Step-by-step explanation:
Charlotte had to distribute 71 dollars among 6 people. What is left with Charlotte after distribution if all six got maximum equal dollars?
Answer:
5?
Step-by-step explanation:
5 points
In the month of August, Eduardo and Maria Chavez budgeted $250 for
groceries. They actually spent $236.53. How much more or less did they
spend than they budgeted? *
$13.47 less?
$13.47 more?
Answer:
13.47 less!
Step-by-step explanation:
Answer:
13.47 less
Step-by-step explanation:
This can be explained by taking their budget $250 which is b and subtracting amount spent s
A-B is 13.47
You can also solve this by asking yourself if
250 is greater than or less than A
250 > 236.53 True
250 < 236.53 False
(Car repair) The bill including parts and labor for the repair of your car is shown. From what is given, can you determine how many hours were spent on labor ? Explain.
Answer:
2.25 hours or 2 hours and 15 minutes
Step-by-step explanation:
Using the information from the bill shown in the question we can determine the number of hours spent by first subtracting the amount of money spent on parts from the overall total, which would leave us with the total amount spent on labor. Now we would simply divide this by $44 which is how much each hour of labor costs. Finally, this would leave us with the total number of hours of labor that the mechanic put into the car repair.
$384 - $285 = $99
$99 / 44 = 2.25 hours or 2 hours and 15 minutes (0.25 * 60 minutes)
Which system of linear inequalities is represented by this graphed solution?
Answer:
There is no picture.....
Step-by-step explanation:
what graphed solution?
What is the discriminant? What does it tell you about the types of solutions you can have?
Answer:
Step-by-step explanation:
ax² + bx + c = 0
Discriminant D = [ - b ± √(b² - 4ac) ] / 2a
If D > 0, then quadratic equation has 2 real roots ;
If D = 0, then quadratic equation has 1 real root ;
If D < 0, then quadratic equation has 0 real roots .
Write equations (both, Point Slope & Slope Intercept Forms) of the line with
slope of -2 and point (9,2).
Answer:
Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
Step-by-step explanation:
We need to write equation of line having slope -2 and point (9,2)
a) Equation in Point Slope Form
The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]
Where x₁ and y₁ are the points of line and m is slope.
x₁=9 and y₁=2 and m=-2
Putting values in formula and finding equation:
[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]
So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
b) Equation in Slope Intercept Form
The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept
Finding y-intercept using slope m=-2 and point(9,2)
[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]
The equation in slope m=-2 and b=20 is:
[tex]y=mx+b\\y=-2x+20[/tex]
So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
Which answer choice shows the decimals in order from greatest to least?
A) 1.234, 1.237, 1.2, 1.48, 2.01
B) 1.2, 1.234, 1.237, 1.48, 2.01
C) 2.01, 1.48, 1.237, 1.234, 1.2
D) 1.2, 1.48, 2.01, 1.234, 1.237
Answer:
C
Step-by-step explanation:
The highest number here is 2.01, so we start by looking for an answer that begins with 2.01. Then we compare 1.48, 1.237,1.234, and 1.2. Look into the tenths place to find that 1.48 has a larger tenths place than any other number. continue this cycle to have the full correct order.