The given quadratic function for the restaurant sales indicates that the sale first reduces then increases.
The year at which the restaurant sale will be $1212 billion is approximately the year 2023.Reasons:
The function for the sales in the restaurant is y = 3·x² + 3.2·x + 514
Where;
y = Sales in billions of dollars
x = Number of years since 2008
Required:
The year in which the restaurant industry food and drink sales will be $1212 billion.
Solution:
When the food and drink sale is $1212 billion, we have;
1212 = 3·x² + 3.2·x + 514
Which gives;
3·x² + 3.2·x + 514 - 1212 = 0
3·x² + 3.2·x - 698 = 0
Factorizing with a graphing calculator gives;
(x + 15.796)·(x - 14.729) = 0
x = -15.796, or x = 14.729
The time will have a natural number value, therefore the positive value of x
= 14.729 is used.
Therefore, the number years since 2008 at which the restaurant sales will
be $1212 billion is approximately 15 years.
The year at which the sales will be $1212 billion = 2008 + 15 = 2023
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Budgets
Terrance budgets $435 of his salary for car expenses. His salary is $2,900. What percent of his salary is
budgeted for car expenses?
Answer:
15%
Step-by-step explanation:
Any MATHEMATICIANS IN THE HOUSE PLS
Find the equation of the circle centre (-3,4) with radius 7 units
options
(a) x2+y2+6x+8y−24=0
(b) x2+y2-6x-8y+24=0
(c) x2+y2+6x-8y-24=0
(d) x2+y2+6x-8y+24=0
Answer:
A po
Step-by-step explanation:
pa like po and pa point ty po
(x-(-3))² + (y-4)² = 7²
x2+6x+9+y²-8y+16= 49
x2+y²+6x-8y+25-49=0
x2+y2+6x-8y-24=0
answer:
B. x2+y2+6x-8y-24=0
Which graph represents the solution to 5 +8x <3(2x + 4)?
A:
-10-9-8 -7 -6 -5 4 -3 -2 -1 0
1
2
3
4
5
6 7 8
9 10
B:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
3
4 5 6 7 8 9 10
C:
-10 -9-8-7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
D:
-10-9-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
A
B
D
Answer:
Option D
Step-by-step explanation:
Given the inequality statement: 5 + 8x < 3(2x + 4):
We must solve for the solution of the given inequality statement.
First, distribute 3 into the parenthesis:
5 + 8x < 3(2x + 4)
5 + 8x < 6x + 12
Next, subtract 6x from both sides:
5 + 8x - 6x < 6x - 6x + 12
5 + 2x < 12
Then, subtract 5 from both sides:
5 - 5 + 2x < 12 - 5
2x < 7
Divide both sides by 2 to solve for x:
[tex]\displaystyle\mathsf{\frac{2x}{2}<\:\frac{7}{2}}[/tex]
[tex]\displaystyle\mathsf{x<\:\frac{7}{2}}[/tex]
Since [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] = 3.5, and that the inequality symbol is "<," then it means that [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] or 3.5 is not included as an endpoint. This corresponds to an empty circle on the 3.5 mark on the number line, pointing towards the left (indicating that the values must be less than 3.5).
Therefore, the correct answer is Option D.
what is the answer please
Answer:
Step-by-step explanation:
ΔABE ~ ΔACD
In similar triangles, corresponding sides are in same ratio.
[tex]\dfrac{AE}{AD}=\dfrac{AB}{AC}\\\\\\\dfrac{12}{18}=\dfrac{9}{9+x}[/tex]
[tex]\dfrac{2}{3}=\dfrac{9}{9+x}[/tex]
Cross multiply,
2*(9+x) = 3*9
2*9 + 2*x = 27
18 + 2x = 27
2x = 27 - 18
2x = 9
x = 9/2
x = 4.5
The graphs of these two equations intersect in how many points?
[tex]x^{2} +y ^ {2}=25[/tex]
[tex]x^{2} -y ^ {2}=3[/tex]
Answer:
They intersect 4 times.
Step-by-step explanation:
When graphed, the first equation is a circle with a center resting at (0,0)
The second equation intersects the circle at (-3.7,3.3), (3.7,3.3), (3.7,-3.3), (-3.7,-3.3)
Weverton Cliffs is a hiking trail in Maryland. This trail is 3 inches long on a map that has a scale of 7 ½ inches = 15 miles.
If Sarah hikes Weverton Cliffs from beginning to end and returns along the same trail, what is the total distance she hikes?
A. 3 miles
B. 6 miles
C. 12 miles
D. 18 miles
Answer: Is 6
Step-by-step explanation: Because 1 mile = 1/2. Is this helpful?
The screen on a computer monitor has a length of 3 inches and a width of 4 inches. What is the length of the diagonal to the nearest tenth of an inch?
Answer:
0.12? i think its wrong
Step-by-step explanation:
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ d^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} d=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ d = \sqrt{3^2+4^2}\implies d = \sqrt{9+16}\implies d = \sqrt{25}\implies d = 5\implies \stackrel{\textit{rounded up}}{d = 5.0}[/tex]
Find an equivalent ratio in simplest terms: 4:60
Answer:
1:15
Step-by-step explanation:
4 and 60 have the GCF of 4. So, if you divide both sides by that factor, you would get 1:15. Hope this helped :)
Lila evaluates the expression using the following steps:(−7.13+63.97)+(−54.8−3.4)−71.1+(−58.2)−129.3Describe the error that Lila made.
Lila's error was that she added -7.13 to 63.97 to get -71.1
Lila steps are as folows
(−7.13 + 63.97) + (−54.8 − 3.4) = −71.1 + (−58.2) = −129.3
In the first bracket, Lila was suppose to subtract 7.31 from 63.97 since there is a negative in front of 7.31.
So, the correct expression should be
(−7.13 + 63.97) + (−54.8 − 3.4) = 56.84 + (−58.2) = 56.84 - 58.2 = −1.36
So, Lila's error was that she added -7.13 to 63.97 to get -71.1
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Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form. 12x = 7y - 10y
Answer and Step-by-step explanation:
This equation is linear because the slope is changing at a constant rate.
Write in standard form:
Standard form on an equation is written like so: Ax + By = C
First combine the y-values.
12x = -3y
Now add 3y to both sides of the equation.
12x + 3y = 0 <-- This is the answer (equation) in standard form.
#teamseas #PAW (Plant And Water)
I hope this helps!
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
I know I already got the right answer so please give an explanation too!
Answer:
11
Step-by-step explanation:
to find the area of a square: base times height, we know that all sides of a square are the same. So, 11*11
=121, the answer is 11
Answer:
11 in.
Step-by-step explanation:
The canvas has the shape of a square.
The area of a square is the side times the side, but since in a square, all sides have equal lengths, then the area of a square is the square of the side.
You are given the area. You need to find the side.
The area is the square of the side, so the side is the square root of the area.
side = √area
side = √(121 in.²)
side = 11 in.
what is the slope of the line?
which of the following pairs of sets given below are equal?
Answer:
hi there is that OK for.
Step-by-step explanation:
ok bye por and thanks again and.
divide 60 crayons between 2 pupils so that get twice as many as the other
Answer:
First pupil will have 40 crayons
Second pupil will have 20 crayons
Step-by-step explanation:
Ratio will be 2:1, total ratio = 2+1 = 3
First pupil
[tex] = { \tt{ \frac{2}{3} \times 60 }} \\ \\ = { \tt{40 \: crayons}}[/tex]
Second pupil
[tex] = { \tt{ \frac{1}{3} \times 60}} \\ \\ = { \tt{20 \: crayons}}[/tex]
what is 1/5 divided by 69
Answer:
1/345 or 0.00289855 (for 1/5 / 69)
I feel like you're most likely talking about 69 / 1/5 which is 345
Try looking at the problem you are doing again :)
Answer:
0.00289855072
Step-by-step explanation:
1÷5 = 0.2
0.2 ÷ 69 = 0.00289855072
use the given conditions to write an equation!!!!
Twice the sum of five and a number is 36
Answer:
2(5+x)=36
Step-by-step explanation:
Answer:
N+5=36
Step-by-step explanation:
hope this helps good luck!
Find the value of e.
Step-by-step explanation:
sum of three angles in a triangle is 180
55+35+x=180
90+x=180
x=180-90
x=90
What is the probability of getting an odd number total when two dice are rolled?
18/36
12/36
1/4
36/36
LCM =36
18/36×36 = 18
12/36×36 = 12
1/4×36 = 9
36/36 ×36 = 36
so it will be 1/4 since 9 is an odd number
In ΔJKL, k = 4.4 inches, l = 8.6 inches and ∠J=129°. Find the length of j, to the nearest 10th of an inch.
Answer:
Step-by-step explanation:
101 degrees
Describe a situation and write an equation that you could use in your everyday life.
Answer:
Variable Costs
Step-by-step explanation:
Imagine that you are taking a taxi while on vacation. You know that the taxi service charges $9 to pick your family up from your hotel and another $0.15 per mile for the trip. So you simply make an equation as y = 0.15x+9. Math is also used in stocks we use math daily in our life, calculating prices for something we use basic multiplication and addition almost everyday.
A gym is selling monthly memberships for $40 each and reusable water bottles for $6 each. The gym needs to make $1248 by the end of the month.
Enter a linear equation that describes the problem.
An equation for the amount of money made by the gym is = $1248, where m is the number of monthly memberships sold, an
Solve the equation for the given variable
1/2 +y= 2/3
A) y=1/6
B) y=1/3
C) y=1/3
D) y=1 1/6
Answer:
y= (2/3)-(1/2)
= (4-3)/6
= 1/6
=> A
Step-by-step explanation:
2. Use any strategy to multiply.
a. 4 x 79
There are 70 students at a summer camp. A counselor divides the students into teams of 10. How many more teams would the counselor make if he divides the students into teams of 7?
Answer:
70/10 = 7
70/7 = 10
10-7 = 3
3 more groupsThere are 3 more teams would the counselor make if he divides the students into teams of 7.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
There are 70 students at a summer camp.
A counselor divides the students into teams of 10.
Let x be the total number of members in the final team:
For the first division = 70/10 = 7
= 70/7 = 10
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
x = 10 - 7 = 3
Thus, there are 3 more teams would the counselor make if he divides the students into teams of 7.
Learn more about the fraction here:
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#SPJ2
4x+2=2(x+6)
HELP PLEASE
12
Hope it helps!!!!!!!
Answer:
x = 5
Step-by-step explanation:
Let's solve your equation step-by-step.
4x+2=2(x+6)
Step 1: Simplify both sides of the equation.
4x+2=2(x+6)
4x+2=(2)(x)+(2)(6)(Distribute)
4x+2=2x+12
Step 2: Subtract 2x from both sides.
4x+2−2x=2x+12−2x
2x+2=12
Step 3: Subtract 2 from both sides.
2x+2−2=12−2
2x=10
Step 4: Divide both sides by 2.
[tex] \tt \: \frac{2x}{2} = \frac{10}{2} [/tex]
Result:
x = 5
Simplify to the form of a square root of b
Answer:
If we substitute a and b to equal 6 for example
it would be
√
6
2
+
6
2
it would equal 8.5(1.d.p) as it would be written as
√
36
+
36
giving a standard form as
√
72
However if it was
√
6
2
+
√
6
2
it would equal 12 as the
√
and
^
2
would cancel out to give the equation 6+6
Therefore
√
a
2
+
b
2
cannot be simplified unless given a substitution for a and b.
I hope this isn't too confusing.
Step-by-step explanation:
14. Explain why a rotation of positive 180 degrees is the same as a rotation of -180 degrees.
Answer:
t is the same because...
Step-by-step explanation:
turning -180 is like turning right turning left no matter how you turn you will still be in the opposite from which you started
If I am ordering a custom wood frame costing $1.27 per inch and the entire area needing framing is 17" on all4 sides, how is price tabulated?
In a particular class of 23 students, 14 are men. What fraction of the students in the class are
women?
Answer:
9/23
Step-by-step explanation:
w=23-m
m=14
w=23-14=9
There are 9 women
9/23
Pencils cost $1.75 at the back-to-school sale (they are super cool pencils). You already
spent $2 on a journal for your math class. You have $23 total to spend. How many
pencils can you afford?
Step-by-step explanation:
1.75×13
=22.75
that means You can afford 13 pencils
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