Answer:
21
Sorry if not correct
But I think this is the answer
The number of rows in the considered theater which has 3 more seats that seats that the previous row, with first row having 15 and last row having 78 seats is given by: Option D: 22
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
[tex]a, a + d, a + 2d, ... , a + (n+1)d, ...[/tex]
Its nth term is
[tex]T_n = a + (n-1)d[/tex]
(for all positive integer values of n)
And thus, the common difference is
[tex]T_{n+1} - T_n[/tex]
for all positive integer values of n
For this case, we can use arithmetic sequence as the number of seats in each next row is 3 more than previous row, so there is constant difference.
Now, the first number is 15, so we have: a = 15,d = 3 (increasing, so positive).
Let there are 'n' row in the theater.
Then the nth term of the arithmetic sequence having a = 15 and d = 3 should be 78 (as the nth row from first to last is the last row, having 78 seats).
Thus, we get:
[tex]T_n = a + (n-1)d\\78 = 15 + (n-1)3\\78-15 =3n - 3\\\\n = \dfrac{63+3}{3} = 22[/tex]
Thus, the number of rows in the considered theater which has 3 more seats that seats that the previous row, with first row having 15 and last row having 78 seats is given by: Option D: 22
Learn more about arithmetic sequence here:
https://brainly.com/question/3702506
mathematics algebra sat
Hey there!
2(p + 1) + 8(p - 1) = 5p
2(p) + 2(1) + 8(p) + 8(-1) = 5p
2p + 2 + 8p - 8 = 5p
10p - 6 = 5p
SUBTRACT 5p to BOTH SIDES
10p - 6 - 5p = 5p - 5p
SIMPLIFY IT!
5p - 6 = 0
ADD 6 to BOTH SIDES
5p - 6 + 6 = 0 + 6
CANCEL out: -6 + 6 because it gives you 0
KEEP: 0 + 6 because it helps solve for the p-value
5p = 0 + 6
5p = 6
DIVIDE 5 to BOTH SIDES
5p/5 = 6/5
CANCEL out: 5/5 because it gives you 1
KEEP: 6/5 because gives you the result of the p-value
SIMPLIFY IT!
p = 6/5
Therefore, your answer is: p = 6/5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which of the following represents the range of the graph below?
X<0
All real numbers
X>0
Y>0
Answer:
D. y > 0Step-by-step explanation:
The graph is contained in the second quadrant so the y- values are between zero and positive infinity:
y ∈ (0, + ∞)Correct choice is D
The function lies in 2nd quadrant in XY plane
We know
in 2nd quadrant value of y is positive.Or
[tex]\\ \sf\longmapsto R_f>0[/tex]
[tex]\\ \sf\longmapsto y>0[/tex]
Option C is correct
What number is represented by 4x2+17x+2if x=10?
Answer:
4x²+17x+2=52
Step-by-step explanation:
Step-by-step explanation: The given equation is 4x2 +17x+2. Here, lets substitute the value of x = 10. So, the equation simplifies to 4× (10)²+17(10)+2 , = (4 x 100) + 170 + 2 = 400 + 170 + 2 = 572 So, at x = 10, 4x²+17x+2=52
Math lab work.
For tomorrow!
Rate as BRAINLIEST, if any doubt ask.
7.) -2
8.) 2
9.) -21
10.) 28
11.) -6
12.) 27
13.) -22
14.)-23
15.)-28
16.) 13
17.) 28
18.) 25
19.) >
20.) <
A special is going on at the movies. You pay a flat fee $10 to watch movies all day and then $3
Answer:
1: C=3b+10
2:
x = the number of candy bars purchased
3 = the amount spent on soft drinks
8x = number of candy bars
18 = total amount spent
Step-by-step explanation:
First, complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.
Then find the area of the divisions.
Answer:
The figure will have 2 triangles and 2 rectangles .
The triangles have a combined area of 12 m2.
The rectangles have a combined area of 25 m2.
The figure has a total area of 37 m2.
The figure will have a triangle ABC, a triangle ACD, and a rectangle GDFE.
The total area of the triangles = 26 m²
The total area of the rectangles = 12 m²
The total area of the figure = 38 m²
Given,
The figure is given.
We need to complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.
What is the area of a triangle and rectangle?Area of a triangle: 1/2 x base x height
Area of a rectangle: length x width
We have,
Two triangles and one rectangle.
E__3__F
|. |
| | 4m
_A_4m_G|_____| D
/. | \. /
/. | \. /
/ 4 \. /
/. | \. /
/. | \. /
B. 6m C.
Area of triangle ABC
= 1/2 x 6 x 4
= 12 m²
Area of triangle ACD.
= 1/2 x 7 x 4
= 14 m²
The total area of the triangles.
= 12 + 14
= 26 m²
Area of the rectangle EFDG
= 4 x 3
= 12 m²
The total area of the figure.
= 26 + 12
= 38 m²
Thus,
The figure will have a triangle ABC, a triangle ACD, and a rectangle GDFE.
The total area of the triangles = 26 m²
The total area of the rectangles = 12 m²
The total area of the figure = 38 m²
Learn more about the area of triangles and rectangles here:
https://brainly.com/question/27701864
#SPJ2
The batting Wang Xiu Ying uses to fill quilts has a thermal conductivity rate of 0.030.030, point, 03 watts (\text{W})(W)left parenthesis, start text, W, end text, right parenthesis per meter (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis per degree Celsius (^\circ\text{C})( ∘ C)left parenthesis, degrees, start text, C, end text, right parenthesis. What is the batting's thermal conductivity value in \dfrac{\text{W}}{\text{cm}\cdot^\circ\text{C}} cm⋅ ∘ C W start fraction, start text, W, end text, divided by, start text, c, m, end text, dot, degrees, start text, C, end text, end fraction?
Ella and Margaret were at a carnival. They each got a ticket for the Ferris wheel. Ella got a snow cone, and Margaret got a cotton candy. Ella had a certificate for $6 off the cost. Margaret paid the rest, which came to $12.75. Each Ferris wheel ticket was $5, and a snow cone was $3.50. What was the cost for cotton candy
Answer:
.$5.25
Step-by-step explanation:
:|
Find the missing angle measures.
Y = ?
Z = ?
X = ?
Answer:
Y = 63
Z = 85
X = 130
step-by-step explanation:
45. Anela and Jacob plan to attend a concert in Brady.
Anela will drive 375 km to Brady at a constant speed
of 75 km/hr, stopping one time for a 30-minute break.
Jacob will start 600 km from Brady and will drive at a
constant speed of 90 km/hr for 2 hours. He will take a
1-hour break and then drive to Brady at a constant
speed of 70 km/hr. To the nearest 0.1 hour, Jacob must
leave how much earlier than Anela in order for them to
arrive in Brady at the same time?
B. 2.5
C. 3.1
D. 3.5
Jacob must leave 3.5 hours earlier than Anela to arrive at same time.
What is speed?The distance traveled by an object in relation to the amount of time it takes to travel that distance is one way to define speed. Simply put, it is a measurement of an object's speed without providing direction. The term "velocity" refers to the speed at which we can obtain direction.
Given Anela distance to Brady = 375 km
speed of Anela = 75 km/hr
time taken by Anela is distance/speed
time taken by Anela = 375/75 = 5 hours
total time taken by time taken by Anela = 5 hours + 30 minute
30 minutes = .5 hours
total time taken by time taken by Anela = 5 hours + 0.5 = 5.5 hours
Jacob distance to Brady = 600 km
distance covered in 2 hours with speed 90 km/hr
= speed x time = 90 x 2 = 180 km
distance left = 600 - 180 = 420 km
time taken for 420 km at speed 70 km/hr
= 420/70 = 6 hours
total time taken by Jacob = 2 + 1 + 6 = 9 hours
difference in time of Jacob and Anela = 9 -5.5 = 3.5 hours
Hence Jacob should leave 3.5 hours early.
Learn more about speed;
https://brainly.com/question/7359669
#SPJ2
Kiara peeled 2 oranges every 4 hours. At that rate, how many would she peel in 12 hours?
please put an explanation, thank you!
Kevin uses each of the digits 5, 7, 4 and 9, once and once only, to make
four-digit numbers.
C)
What is the largest number that he can make?
Answer:
9,745
Step-by-step explanation:
How do i solve this?
PLEASE HELP I REALLY DONT UNDERSTAND THANK YOUU
Answer:
x=34º
Step-by-step explanation:
a line always = 180º
so y+81=180
y=99º
a triangle is also always 180º total
so x+y+47=180
x+99+47=180
x+47=81
x=34
The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the same price, d. 6) Which model represents the situation?
The total cost of pizza and drinks, is an illustration of a linear function.
The model that represents the situation is: [tex]\mathbf{10 + 3d = 19}[/tex]
The given parameters are:
[tex]\mathbf{Total =19}[/tex]
[tex]\mathbf{1\ pizza =10}[/tex]
[tex]\mathbf{1\ drink =d}[/tex]
The cost of 3 drinks will be 3d
The total cost would then be:
[tex]\mathbf{Total = 10 + 3d}[/tex]
Substitute 19 for Total
[tex]\mathbf{10 + 3d = 19}[/tex]
Rewrite the above equation as:
[tex]\mathbf{3d + 10 = 19}[/tex]
Hence, the model that represents the situation is: [tex]\mathbf{10 + 3d = 19}[/tex]
Read more about linear functions at:
https://brainly.com/question/13496810
One wing of a royal mouth is 0.75 inch across. How wide is the mouth mouse wingspan when both wings are open?
Answer: 1.50
Step-by-step explanation: 1 wing = 0.75 2 wings= 1.50
0.75 times 2 because there are 2 wings
HELP WILL MARK BRAINLIEST! NO FAKE ANSWERS
The solution to a system of two equations is "no solutions". Describe the graph of the two equations.
two parallel lines
two perpendicular lines
two intersecting lines
two overlapping lines
Answer:
two parallel lines
Step-by-step explanation:
the answer is parallel lines because parallel lines never touch so you would never have an answer. all the other answer choices mention some sort of intersection
So I have this question I cannot figure out 3w+w2+1=10−w
Answer:
Answer: w is 1.6 or. -5.6
Step-by-step explanation:
• I guess the question asks to find the value of w
[tex]{ \rm{3w + {w}^{2} + 1 = 10 - w }}[/tex]
• arrange the equation in a quadratic equation format. i.e; ax² + bx + c = 0
[tex]{ \rm{ {w}^{2} + (3w + w) + 1 - 10 = 0 }} \\ \\ { \rm{ {w}^{2} + 4w - 9 = 0 }}[/tex]
• let's solve the equation using the quadratic formular
[tex] \hookrightarrow \: { \tt{w = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }} \\ [/tex]
a is 1b is 4c is -9• Substitute following the mathematical operation rules:
[tex]{ \rm{w = \frac{ - 4 \pm \sqrt{ {4}^{2} - (4 \times 1 \times - 9) } }{(2 \times 1)} }} \\ \\ { \rm{w = \frac{ - 4 \pm \sqrt{52} }{2} }}[/tex]
• split the result:
[tex]{ \rm{either \: \{w = \frac{ - 4 + \sqrt{52} }{2} \} \: \: or \: \: \{w = \frac{ - 4 - \sqrt{52} }{2} \} }} \\ \\ { \rm{either \: \{w = 1.6 \} \: \: or \: \: \{w = - 5.6 \}}}[/tex]
Someone pls help me I will make you as brain
Answer:
It's -3 :)
Step-by-step explanation:
g(x) = 1 and f(x) = -3 and to find k you need to do f(x)/g(x). Therefore, -3/1 = -3. Hope this helped!
5.
Is the relationship shown by the data linear? If so, model the data with an equation.
A. The relationship is linear; y + 7= 1/2(x - 5).
B. The relationship is linear; y - 5= -1/2(x + 7).
C. The relationship is not linear.
D. The relationship is linear; y – 5 = 2(x + 7).
Answer:
D. The relationship is linear; y – 5 = 2(x + 7).
Step-by-step explanation:
The correct answer is:
The relationship is linear, and the equation is
y-5 = 2(x+7).
Explanation:
To determine if the relationship is linear, we find the slope between each pair of points. Slope is given by the formula:
The slope between the first two points is given by:
The slope between the second pair of points is given by:
The slope between the third pair of points is given by:
Since the slope is the same throughout the data, the relationship is linear and the slope is 2.
To write the equation, we use point-slope form, which is:
y-y₁ = m(x-x₁)
Using the first point, we have:
y-5 = 2(x--7)
y-5 = 2(x+7)
The answer is The relationship is linear; y - 5 = 2(x + 7).
Please answer number 19 please I beg you!
Answer:
147,000,000
Step-by-step explanation:
152,000,000+147,000,000=299,000,000
Step-by-step explanation:
299,000,000-152,000,000=Male
Male=147,000,000
=1.47×10'8
In a certain class, 18/25 of the students got problem 10 wrong on Friday's math test.
Answer:
72% i think but I may be wrong
Odita wants to know if the students in her school like to play cricket. I am only going to ask the boys. Will the results of her survey give a fair result? Give a reason for your answer.
what is the equation?
Answer:
You already wrote the equation
Step-by-step explanation:
On average, a dolphin swims at a speed of 8 km per hour for about 15 hours per day. What distance does a dolphin travel per day?
Answer:
speed=distance/time
8=distance/15
120km= distance
Step-by-step explanation:
guys pls help me!!!!!!
Answer:
[tex]x = 127[/tex]
Step-by-step explanation:
Vertical Angles
On Dan's phone, 30% of the apps are are gaming apps. If 12 of his apps are gaming apps, how many total apps are on his phone?
Answer:
Dan has 40 total apps
Step-by-step explanation:
30% = 12 apps
10% = 4 apps
10% · 10 = 100%
4 · 10 = 40 apps
The legs of a right triangle are equal. Given the length of the legs, find the length of the hypotenuse. Round to the nearest tenth.
1. 5 cm
2. 2 cm
3. 10 in.
4. 12 m
Answer:
C
Step-by-step explanation
10 inches
Angle x and angle y are complementary angles. If m