Given that, the cost of a ticket = t and
cost of a box of popcorn = p.
Total members in the team = 13
As each team member buys 1 ticket and 2 boxes of popcorn, so, the amount spent by one member, [tex]C_1 = t+2p[/tex]
So, the total amount that the team spent [tex]= 13C_1[/tex]
(a) So, the first expression, representing the total amount spent by the team, is
[tex]13\times (t+2p)\cdots(i)[/tex]
On simplification, the second expression, representing the total amount spent by the team, is
[tex]13\timest + 13\times (2p)[/tex]
[tex]=13t+26p\cdots(ii)[/tex]
(b) The expression from the equation (i) represent the total amount spent as 13 times the expenses of one member, while equation (ii) is the sum of two terms where the first term, 13t, represents the total amount spent for buying the ticket and the second term, 26p, represents the total amount spent for buying popcorn
Select the correct answer. Which statement correctly describes this expression? |x^3|+5 A. the sum of the absolute value of three times a number and 5 B. 5 more than the absolute value of the cube of a number C. the cube of the sum of a number and 5 D. the absolute value of three times a number added to 5
Answer:
B. 5 more than the absolute value of the cube of a number
Step-by-step explanation:
In the above question, we are given this expression: |x^3|+5
| | = This sign means Absolute value,
x^3 = x³ = x × x × x
Hence, the statement that correctly describes the expression |x^3|+5 is :
B. 5 more than the absolute value of the cube of a number
Answer:
5 more than the value of the value of a number
Step-by-step explanation:
is -6.8 a positive number?
Answer:
no
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
-6.8 = negative six point eight
2020-2021 T-Math-Alg1-T1and2-CBT.: Section 2 - Calculator Section Question: 2-4
Scientific Calculator
A sequence is defined by the function f(n)=f(n-1)+5, where n represents the number of the term for
n>1. and f(1) = -4. What are the first four terms of the sequence?
1,6,11,15
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7
S
-4.0,-1,-2
4
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1
2
3
0.-1.-2.-3
0
-4.1,6.11
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Type here to search
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Answer:
The correct option is;
1, 6, 11, 15
Step-by-step explanation:
The given information are;
The function that defines the terms of the sequence is f(n) = f(n - 1) + 5
Where;
n = The number of the term
For n = 1, we have, f(1) = -4
The first four terms are therefore;
f(2) = f(2 - 1) + 5 = f(1) + 5 = - 4 + 5 = 1
f(3) = f(3 - 1) + 5 = f(2) + 5 = 1 + 5 = 6
f(4) = f(4 - 1) + 5 = f(3) + 5 = 6 + 5 = 11
f(5) = f(5 - 1) + 5 = f(4) + 5 = 11 + 5 = 15
The first four terms are; 1, 6, 11, 15
Can someone please help me ?!?!
How can you look at the equation of two lines and determine if they will be parallel?
Answer:
If the two lines have the same slope, they are parallel but they can't be the same line
Step-by-step explanation:
Express your answer as a polynomial in standard form.
f(x) = 3x² + 4x – 7
g(x) = 2x – 11
Find: g(f(x))
Answer:
g(f(x)) = 6x^2 + 8x - 25
Step-by-step explanation:
So, first we have to substitute f(x) into the place of x in the g(x). This will be shown as g(f(x)) (which is what we need to solve). Next, we have to substitute 3x^2 + 4x - 7 into the place of x in 2x - 11. We do this because we had to substitute f(x) into the place of x in g(x).
So this is how your equation should look, and then solve:
g(f(x)) = 2(3x^2 + 4x - 7) - 11
g(f(x)) = 6x^2 + 8x - 14 - 11
g(f(x)) = 6x^2 + 8x - 25 < ---- This is your answer
Hope this helps!
CASH APP for who ever gets it right
A town has a population of 12000 and grows at 4% every year. To the nearest year, how long will it be until the population will reach 15600?
Answer:
It will take 7.5 or 7 and a half years for the population to reach 15,600!
Step-by-step explanation:
4% of 12000 is 480!
15600-12000 is 3,600!
3,600/480 is 7.5
Answer:
6.69
Step-by-step explanation:
The equation is:
y=12000(1.04)^x
To solve, set y equal to 15600 and solve for x (I used a calculator)
15600=12000(1.04)^x
x=6.69
Based on her recipe Elana knows that 5 servings of granola have 1,750 calories. If she wants to eat 175 calories of granola how many servings should she eat
Answer:
1/2 of a serving
Step-by-step explanation:
start by dividing the 1750 calories by 5 to find out how much for one serving. than from there I divide one serving into two and got 175 calories
suppose m8=141. What is m4 so that m||n ?
Use properties to rewrite the given equation. Which equations have the same solution as x + + x = – x? Check all that apply.
x + = – x
18x + 20 + 30x = 15 – 6x
18x + 20 + x = 15 – 6x
24x + 30x = –5
12x + 30x = –5
Answer:
options (a), (b), (c), and (e) have the same solution as the solution of 3/5 x + 2/3 + x = 1/2 -1/5x.
Step-by-step explanation:
The given equation is
3/5 x + 2/3 + x = 1/2 -1/5x
First, rearrange the equation to have constant terms and the terms having variable on the separate side.
3/5 x + x +1/5x= 1/2 - 2/3
9/5 x = -1/6
x= -1/6 ÷ 9/5
x= -1/6 x 5/9
x= -5/54 ...(i)
Now, find the solution of all the options in the similar way:
(a) 8/5 x +2/3 = 1/2 -1/5 x
8/5 x + 1/5 x = 1/2 - 2/3
9/5 x = -1/6
x= -1/6 ÷ 9/5
x= -1/6 x 5/9
x= -5/54 which is same as the solution of the mentioned equation. [ from equation (i)]
(b) 18x + 20 + 30x = 15 – 6x
18x+30x+6x = 15 -20
54x=-5
x= -5/54 which is same as the solution of the mentioned equation. [from equation (i)]
(c) 18x + 20 + x = 15 – 6x
18x+x+6x = 15 -20
25x=-5
x= -5/25 which is not the same as the solution of the mentioned equation. [ from equation (i)]
(d) 24x + 30x = –5
54x = -5
54x=-5
x= -5/54 which is same as the solution of the mentioned equation. [ from equation (i)]
(e) 12x + 30x = –5
42x = -5
42x=-5
x= -5/42 which not is same as the solution of the mentioned equation. [ from equation (i)].
Hence, options (a), (b), (c), and (e) have the same solution as the solutions of the given equation.
Solve?? 3x + 10 > 4
Answer:
x>−2
Step-by-step explanation:
1 Subtract 1010 from both sides.
3x>4-103x>4−10
2 Simplify 4-104−10 to -6−6.
3x>-63x>−6
3 Divide both sides by 33.
x>-\frac{6}{3}x>−
3
6
4 Simplify \frac{6}{3}
3
6
to 22.
x>-2x>−2
during a pickup basketball game the ratio of players on the red team to players on the blue team was 5:6. Write whether each statement is true or false
Answer:
false
Step-by-step explanation:
thats not fair for the other team
Solve for AB. Round your answer to the nearest tenth if necessary.
Answer:
AB = 55.25
Step-by-step explanation:
Set up an equation where the length of AB is equal to AC minus BC. This will allow us to solve for x, and then the length of AB.
AB = AC - BC
5x + 9 = 87 - (3x + 4)
5x + 9 = 87 - 3x - 4
5x + 9 = 83 - 3x
8x + 9 = 83
8x = 74
x = 9.25
Now plug 9.25 in for x in the equation for AB
AB = 5x + 9
AB = 5(9.25) + 9
AB = 46.25 + 9
AB = 55.25
75 points urgent.Jenny&Natasha are working on a problem together: Solve 3+8=−2. Natasha thinks the first step is to multiply by 3. Jenny explains that this is not the most efficient way to solve. Explain who is correct &justify your reasoning.
EXPLAIN WHY!!!
Answer:
This is the correct way to solve the problem :
You add 3 and 8 together.
you see if it equals -2 or not.
I hope this helps!
Step-by-step explanation:
The morning temperature in Erin's apartment was 79°. Erin turned up the air conditioner and
the temperature in her apartment that afternoon was 68º. Write an integer to represent the
change in temperature. (1 point)
Enter your answer
Submit
O
BI
Answer:
The integer which represents the change in temperature from morning to afternoon is -11°
Step-by-step explanation:
Since the morning temperature in Erin's apartment was 79°, and the temperature in Erin's apartment that afternoon was 68°. If Erin turned up the temperature and the temperature in the afternoon was 68°. So, the temperature change from 79° down to 68° is thus 68° - 79° = -11°.
So, the integer which represents the change in temperature from morning to afternoon is -11°
What is the product of
(7/8)(-16)(-7)(-1/14)
A -7
B -9/16
C -1/7
D 23/12
Answer:
-7
Step-by-step explanation:
(7/8)(-16)(-7)(-1/4)
(7/8)(-1/4)(-16)(-7)
(-1/16)(112)
-7
Answer:
-7
Step-by-step explanation:
multiply all the numbers together and you get -7
will mark as brainliest
Simplify 5 - 2 · 3 + 4.
Answer: 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
order of operations says, first we do the multiplication
5-6+4
then we do subtraction
-1+4
and do the addition
3
hope this helped!
May anyone please help me?
Answer:
8
Step-by-step explanation:
10-2
8
8×6=(4×6)+(_____x6)=24+_____=
Evaluate.
Answer:
[tex]8 \times 6 = (4 \times 6) + (4 \times 6) = 24 + 24 = 48[/tex]
find the y-intercept of f(x) = 3x^2 + 6x
Answ3r:
81x^2
Step-by-step explanation
I think
Answer:
x=0
Hope this helped!!!! :)
Find the volume of the cylinder with the info below.
Distance from center to edge: 3 feet
Side length of the cylinder: 5 feet
Please help me out! I promise I will mark brainliest!
Answer: 141.3 in
1. V = πrh
2. V = (3.14)([tex]3^{2}[/tex])(5)
3. V = 141.3 in.
Hope this answer helps you!
How to write a Linear Function??
PLS HELP NOW!
Answer:
i gotchu dude
Step-by-step explanation:
For example, a common equation, y=mx+b y = m x + b , is a linear function because it meets both problems with x and y as variables and m and b as constants.
the steps for writing a linear exp. are
1.) Identify the y-intercept from the graph.
2.)Choose two points to determine the slope.
3.)Substitute the y-intercept and slope into slope-intercept form of a line
.nowww to determine if an equation is a linear function without graphing, you will need to check to see if your function has the characteristics of a linear function. Linear functions are first-degree polynomials. Check that the y, or independent variable, is by itself on one side of the equation.
there are different ways to write linear functions like
1.)f(x) = mx + b (The "slope-intercept" form),
2.)y - yo = m(x - x0) or, equivalently, f(x) = y0 + m(x - x0) (The "point-slope" or "Taylor" form), and.
3.)Ax + By = C (The "general form") which defines y implicitly as a function of x as long as B 0.
hope this helped ;P
David made an error when determining the product of (–2.5)(–8.3). Step 1: (–2.5)(–8.3) = (–8.3)(–2.5) Step 2: = (–8.3)(–2) + (–8.3)(–0.5) Step 3: = (–16.6) + (–4.15) Step 4: = –20.75 In which step did David make his first error? Step 1 Step 2 Step 3 Step 4
Answer:
Step 3.
Step-by-step explanation:
We need to tell the incorrect step in the given problem for the product of (–2.5)(–8.3)
Step 1. (–2.5)(–8.3) = (–8.3)(–2.5)
Step 2:
We can write -2.5 = -(2+0.5)
(–8.3)(-(2+0.5)) = (–8.3)(-2)+(-8.3)(-0.5)
= 16.6 + 4.15
Step 3.
= 20.75
He has done an error in step 3. It should be 16.6 + 4.15 instead of (–16.6) + (–4.15). As a result, he get incorrect answer.
Answer:
it is step 3
Step-by-step explanation: i just took the test mark me brainliest lol :>
will give you brainlyist pls help
Answer:
its a liitle blury, could u please retake the picture? lol
Step-by-step explanation:
Answer:
its too blury
Step-by-step explanation:
At a little-know vacation spot, taxi fares are bargain. A 28 mile tail ride takes 32 minutes and cost $22.40. You want to find the cost of a 35 minute taxi ride. What unit price do you need
slope of the line will mark brainliest to who asnwers first
a submarine hovers at 66 2/3 yards below sea level. if it ascends 24 1/8 yards and then decends 78 3/4 yards, what is the submarines new position, in yards, with respect to sea level?
-169 13/24
-121 7/24
-12 1/23
12 1/24
Answer:
-121 7/24
Step-by-step explanation:
Which shows the algebraic representation of the phrase and its value when n=4.27
"twenty-eight plus the product of five and a number
¿seria seguro enviar a un helicóptero a la cima de una montaña para llevar a cabo un rescate por aire? un grupo de senderistas se queda atrapado en la cima de una montaña. equipo de búsqueda y rescate sugiere ge se necesitará un trasporte aéreo en helicóptero pa rescatarles. el helicóptero disponible para el rescate puede volar con seguridad a una altura de 5.200 metros sobre el nivel del mar. desafortunadamente, se trata de una montaña inexplorada y no disponen de datos confiables acerca de la altura de la cumbre
la unica informacion que tienes es la siguiente :
un senderista tardó 6,5 horas en dar la vuelta alrededor de la base de la montaña y estimo que recorrió una distancia de 26 kilómetros aproximadamente
los senderistas atrapados se mantuvieron en contacto con el campamento base por radio y , aunque recorrieron mas de 32 kilómetros, estimaron que la distancia en línea recta hasta la cima de la montaña es de unos 6 kilómetros
Answer:
Is this question in Spanish
Identify the constant proportionality: k=
Answer:
is there any more info?
Step-by-step explanation:
I don't see any info in order for me to solve this
1. Your high school freshman class had a total of $1200 from fund-raisers during the year. To help
pay for a class trip at the end of your senior year, the class deposits the money into a 30-month CD
paying 5.6% interest compounded monthly.
a) Determine the amount the class will receive after 30 months.
I
[
b) How much interest did the class earn on the investment?
Answer:
a is 67.20 and b is 1267.20
Step-by-step explanation:
first you have to multiply 1200 from 5.6% and you get 67.20 then you have to add 1200 to 67.20 and you get 1267.20
