Janelle is at the movie theater and has $20 to spend.
She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99.
How many snacks, x, can Janelle buy?
Inequality: 20≥8 + 4.99x
Please answer, its urgent
Answers
After purchasing a movie ticket for $8, Janelle has $12 left to spend on snacks. Each snack costs $4.99, which means she can buy a maximum of 2 snacks.
Explanation:Janelle started with $20 and has already spent $8 on a ticket, leaving her with $20 - $8 = $12 for snacks. Each snack costs $4.99. To determine how many snacks, represented by x, Janelle can buy, we can set up the inequality 12 ≥ 4.99x. Dividing both sides of the inequality by the cost of one snack (4.99) gives us x ≤ ≈ 2.4. Since Janelle cannot buy a fraction of a snack, she can buy a maximum of 2 snacks with her remaining $12.
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Related Questions
Create a list of the odd numbers between 1 and n (include 1 as well as n -- if it's odd-- in the list). Associate the list with the variable odds.
Answers
Starting with 1 as the first odd number, you get 1, 3, 5, 7, 9, ...
A general formula to name the odd numbers is 2n + 1, where n can take any whole value.
Look:
n 2n + 1
0 0+1 = 1
1 2(1) + 1 = 2 + 1 = 3
2 2(2) + 1 = 4+1 = 5
3 3(2) + 1 = 6 + 1 = 7
4 4(2) + 1 = 8 + 1 = 9.
So, you now can use the general formula 2n + 1 to generate any odd number, starting with n = 0 to generate the first odd number, 1.
Solve the following system of equations algebraically. 2x = 5y + 8. 3x + 2y = 31
Answers
x=−12.301587 and y= 31/ 2
3x + 2y = 31 so 3x = -2y + 31 (2nd)
multiply (1st equation) by 3 and (2nd equation) by 2
6x = 15y + 24
6x = -4y + 62
-----------------------subtract
0 = 19y - 38
19y = 38
y = 2
2x = 5y + 8
2x = 5(2) + 8
2x = 18
x = 9
answer
solution (9, 2)
What is the slope of the line that contains the points (9, –4) and (1, –5)?
Answers
slope = (-5 - (-4) / (1 - 9) = -1 / -8 = 1/8 <==
The slope of the line that contains the given point is the rise/run, which is: 1/8.
How to Find the Slope of a Line?The slope of a line = rise / run = change in y / change in x.
Given the points on a line as (9, –4) and (1, –5):
Change in y = (-4 -(-5) = 1
Change in x = (9 - 1) = 8
Slope of the line = change in y/change in x = 1/8.
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Mr. Brown owned a house, which he rented for $60 a month. The house was assessed at $9000. In 1975 the rate of taxation was increased from $25 to $28 per $1000 assessed valuation. By what amount should the monthly rent have been raised to absorb the increase in that year's taxes?
Answers
Old value = 25×9 = 225 ⇒ The value 9 represents the 9 lots of thousands of the house's value
New value = 28×9 = 252
Increase in tax = 252 - 225 =27
Percentage increase = (27÷225) ×100 = 12%
The amount of yearly rent would be then increased by 12%
Monthly rent = $60
Yearly rent = 60×12 = $720
Increase by 12% = 720×1.12 = 806.4 ⇒ The value 1.12 is the multiplier, obtained from 100%+12%=112%=1.12
The monthly rent is 806.4÷12 = $67.20 which is an increase of $7.20 per month
What is the slope of any parallel line to the line 8x + 9y = 3 in the standard (x,y) coordinate plane?
Answers
ax + by = c
is given by:
-a/b
Moreover, whenever two lines are parallel, they have the same slope. So, if any line is to be parallel to the given line, it must have the same slope as this line, which is:
-(8)/(9)
-8/9
Evaluate the following expression.
153^0
0
1
153
Answers
[tex]153^0 = 1[/tex]
Answer:
The answer is B = 1
Step-by-step explanation:
The exponent zero rule states that any number raised to the power of zero equals to 1 or mathematically:
x^0 = 1 for any real number x
So applying this rule
153^0 = 1 with x =153
When you are doing an experiment that will have multiple trials, how do you handle averages?
Answers
Point P has coordinates (1, –3). Point W is symmetric to point P with respect to the line y = –x. What are the coordinates of point W?
(3,0)
(3, –1)
(3, –3)
(–3, 1)
Answers
The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00 am and 12:30 pm, with a depth of 2.5 m, while high tides occur at 6:15 am and 6:45 pm, with a depth of 5.5 m. Let t = 0 be 12:00 am. Write a cosine model, d = acos(bt) + k, for the depth as a function of time. This amplitude is meters. a =
Answers
Answers:
1.5, -1.5, 12.5, 4pi/25, 4, D
Step-by-step explanation:
Answer:
1.5 meters
a = -1.5
12.5 hours
b = 4 pi/25
k = 4 meters
last option is D
Step-by-step explanation:
edg 23'
How many microliters are in a two liter bottle of soda?
Answers
so 2 liters = 2,000,000 microliters
What is the value stored at x, given the statements: int x; x = 3 / static_cast(4.5 + 6.4);?
Answers
The value stored at x will be 0.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ x = 3 / static_cast(4.5 + 6.4)
Now,
Since, The expression is,
⇒ x = 3 / static_cast(4.5 + 6.4)
Hence, The value of x is find as;
The operands 4.5 and 6.4 are added as;
⇒ 4.5 + 6.4 = 10.9
So, When this value is cast to int datatype, it becomes 10.
So, We get;
⇒ x = 3/10
= 0.3
Since, x in a variable of type int.
So, when a value of 0.3 is assigned to x, it is stored as 0.
Thus, The value stored at x = 0.
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A couple has 2 children. what is the probability that both are girls if the older of the two is a girl?
Answers
This question comes from the 'boy or girl paradox', a.k.a. the Mrs Smith Problem.
What is the area of the trapezoid?
Answers
how to find the midpoint using coordinates A(-1,5), B(2,-3)
Answers
Find the measure of each interior angle
Decagon in which the measures of each interior angles are x + 5, x + 10, x + 20, x + 30, x + 35, x + 40, x + 60, x + 70, x + 80, and x + 90
Answers
To find each interior angle of a decagon given as expressions with x, we sum the expressions and set equal to 1440 degrees, the total sum of interior angles. Solving for x, we find x=100 and then substitute to find each angle.
To find the measure of each interior angle of a decagon where the angles are given as expressions involving x, we must use the fact that the sum of interior angles in a polygon is (n-2)180 degrees, where n is the number of sides in the polygon. For a decagon, which has 10 sides, the sum would be (10-2)180 = 1440 degrees.
x + 5 + x + 10 + x + 20 + x + 30 + x + 35 + x + 40 + x + 60 + x + 70 + x + 80 + x + 90 = 1440
Combining like terms, we find that:
10x + 5 + 10 + 20 + 30 + 35 + 40 + 60 + 70 + 80 + 90 = 1440
10x + 440 = 1440
10x = 1440 - 440
10x = 1000
x = 100
Once x is found, we substitute back into each angle expression to find the measure of each interior angle:
x + 5 = 105 degrees
x + 10 = 110 degrees
x + 20 = 120 degrees
x + 30 = 130 degrees
x + 35 = 135 degrees
x + 40 = 140 degrees
x + 60 = 160 degrees
x + 70 = 170 degrees
x + 80 = 180 degrees
x + 90 = 190 degrees
Simplify.
3 square root of -27n^27
A. 3n^3
B. -3n^3
C. -3n^9
Answers
In the above figure, find the measure of angle AEB + the measure of angle CED.
A. 75
B. 93
C. 112
D. 140
Answers
Which set of numbers can represent the side lengths, in centimeters, of a right triangle?
Answers
The sides should satisfy the equation (a^2)+(b^2)=(c^2).
Hope it helps
Answer:
Any set of numbers that fit in Pythagoras theorem will represent that set.
Step-by-step explanation:
Though options are not given, but there is a standard way to get such combinations of number.
As it is a right triangle, we have to work on Pythagoras theorem.
The sum of squares of two other sides is equal to square of the hypotenuse.
Like : [tex]3^{2} +4^{2} =5^{2}[/tex]
Given: AC is the hypotenuse and BD is the altitude of △ABC. AD=27, CD=40, AB=e, BD=j, and BC=h
Find the value of e
How the literal devil am i supposed to do this, legit i've tried for hours first answer gets Brainliest
Answers
In triangle ABC:
m(B)=90°, let m(A)=α, and let m(C)=β
so m(B)+m(A)+m(C)=180°, so α+β=90°
In triangle ABD, m(A)=α, m(ADB)=90° so m(ABD) must be β, so that the sum completes to 180.
By the same logic, m(DBC)=α
so we have the following similarities of triangles: (let's go by the order α-β-90°):
ACB ≡ ABD ≡ BCD,
consider ABD ≡ BCD:
[tex] \frac{AB}{BC} = \frac{BD}{CD} = \frac{AD}{BD} [/tex]
substitute with the givens:
[tex] \frac{e}{h} = \frac{j}{40} = \frac{27}{j} [/tex]
from
[tex]\frac{j}{40} = \frac{27}{j}[/tex]
we have
[tex] j^{2}=40*27 =1080[/tex]
In triangle ABD, from the pythagorean theorem:
[tex] e^{2} = j^{2}+27^{2}=1080+729=1089[/tex]
so [tex]e= \sqrt{1089}= 42.53 (units)[/tex]
Remark: a direct solution can be given by Euclid's theorem, AB^2=AD*AC
[tex]AB^2=AD*AC[/tex] so
[tex] e^{2}=27*47[/tex], then take square root of e
Answer: 42.53 units
Two horses are ready to return to their barn after a long workout session at the track. The horses are at coordinates H(1,10) and z(10, 1). Their barns are located in the same building, which is at coordinates B(-3,-9). Each unit/grid on the coordinate plane represents 100 meters. Which horse is closer to the barn? Justify your answer.
Answers
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Distance from H to B:
[tex][tex]d=\sqrt{(10-(-3))^2+(1-(-9))^2}=\sqrt{169+100}=\sqrt{269}[/tex]d=\sqrt{(1-(-3))^2+(10-(-9))^2}=\sqrt{16+361}=\sqrt{376}[/tex] units.
Distance from Z to B:
[tex]d=\sqrt{(10-(-3))^2+(1-(-9))^2}=\sqrt{169+100}=\sqrt{269}[/tex] units.
Horse Z is closer to the barn.
(The conversion to meters is not required; the question does not ask for actual distances, so "units" is OK.)
David drives 210 miles a week for work. He fills his petrol tank twice a week. Each fill up is for 42 litres. Assuming he uses all of the petrol each week and only uses the car to travel to and from work, what is the mileage per litre of his car?
Answers
He fills his petrol tank twice a week. Each fill up is for 42 litres
That means he fill the tank 2x42litre= 84 litres/week.
The mileage should be : (210miles/week)/ (84 litres/week)= 2,5miles/litre
Answer: 2,5miles/litre
Using a calculator and the formula above, calculate the APR. Choose the correct answer.
Betty Buyer has a short term note at 16% interest per year.
To the nearest tenth, APR =
15.9
17.2
16.6
%.
Answers
APR=(1+0.16÷12)^(12)−1
APR=0.172×100
APR=17.2%
Consider the function given by the graph. What are these values?
f(–2 ) =
f(0) =
f(4) =
Answers
The values of the function f(x) for the given graph are approximately -7, -18, and -29.
Explanation:The values of the function f(x) for the given graph can be found by looking at the corresponding points on the graph.
For f(-2), we look at the point on the graph where x = -2. From the graph, we can see that f(-2) is approximately -7.
Similarly, for f(0), we look at the point on the graph where x = 0. From the graph, we can see that f(0) is approximately -18.
For f(4), we look at the point on the graph where x = 4. From the graph, we can see that f(4) is approximately -29.
f(-2) = -1
- f(0) = 3
- f(4) = 0
The values of the function at different points on the graph can be found by looking at the corresponding coordinates on the graph.
To find f(-2), we look for the point on the graph where x = -2. From the graph, it appears that the y-coordinate of this point is -1. Therefore, f(-2) = -1.
To find f(0), we look for the point on the graph where x = 0. From the graph, it appears that the y-coordinate of this point is 3. Therefore, f(0) = 3.
To find f(4), we look for the point on the graph where x = 4. From the graph, it appears that the y-coordinate of this point is 0. Therefore, f(4) = 0.
It is important to note that the given information about the arrows and points (0,3) to (-6,0) and (0,1) to (6,-2) is unrelated to finding the values of the function at the given points. These arrows and points might represent something else in the context of the graph, but they do not affect the calculations of f(-2), f(0), and f(4).
Amy purchased 17 pencils and 18 pens for a fund-raiser at school and spent $61.50. Jocelyn purchased 10 pencils and 21 pens and spent $57. How much does each pencil cost?
Answers
17x + 18y = 61.50....multiply by 21
10x + 21y = 57 ....multiply by -18
------------------------
357x + 378y = 1291.5 (result of multiplying by 21)
-180x - 378y = - 1026 (result of multiplying by -18)
-----------------------add
177x = 265.5
x = 265.5 / 177
x = 1.50 <== cost for a pencil
pens(y) cost 2.00
Identify the domain of the exponential function shown in the following graph: y=10x
Answers
We can replace x with any real number we want without worrying about restrictions. There won't be any issues such as dividing by zero or applying the square root to a negative number.
If a triangle is equilateral then it has 3 congruent angles proof
Answers
Allow ABC to be an
equilateral triangle so AB = AC = BC. Let X be the midpoint of BC, AX is the
median of BC, and BX = CX. Look at triangles BAX and CAX. Obviously, AX = AX since
AB = AC and BX = CX, subsequently by SSS Congruence Test, we have that
triangles BAX and CAX are congruent. Therefore, corresponding angles are
congruent so <ABX = <ACX. Because <ABX and <ABC are the same angle,
they are obviously congruent, and then <ABX = <ABC. Likewise, <ACX and
<ACB are the same angles so <ACX = <ACB. Then, <ABC = <ACB. Please
note that <ABC = <B and <ACB = <C. Therefore, <B = <C.
At present, disregard AX and let Y be the midpoint of AC.
Then BY is the median of AC. Then AY = CY. Evidently, BY = BY. Because AB = BC, we see that triangles ABY
and CBY are congruent by SSS. Then corresponding sames are congruent so <BAY
= <BCY. Since <BAY and <BAC are the same angles then <BAY =
<BAC. Similarly, <BCY = <BCA since they are the same angles. Then
<BAC = <BCA. Note that <BAC = <A and <BCA = <C. Therefore,
<A = <C.
Thus, <A = <C = <B. So all the angles are congruent.
Angle 1 and angle 2 form a linear pair. if m angle 2 = 67. what is m angle 1
Answers
Final answer:
The measure of angle 1 can be found by using the fact that angle 1 and angle 2 form a linear pair. By setting up an equation and solving, we find that angle 1 measures 113 degrees.
Explanation:
To find the measure of angle 1, we need to understand that angle 1 and angle 2 form a linear pair. A linear pair of angles is formed when two adjacent angles are supplementary, meaning they add up to 180 degrees. So, angle 1 + angle 2 = 180 degrees. Given that angle 2 measures 67 degrees, we can substitute this value into the equation to find angle 1: angle 1 + 67 degrees = 180 degrees. Solving for angle 1, we get angle 1 = 180 degrees - 67 degrees = 113 degrees.
If f(x) = 3x – 2 and g(x) = 6 – 4x, find f(x) + g(x). A. 7 + 4x B. 4 – x C. –x – 4 D. –4 – 7x
Answers
3x-2+6-4x
Then simplify
-x+4 = 4-x
The answer is B. 4-x
How much money will be in a bank account after 9 years if $7 is deposited at an interest rate of 5% compounded annually?
Answers
A=p (1+r)^t
A future value?
P present value 7
R interest rate 0.05
T time 9 years
A=7×(1+0.05)^(9)
A=10.86
Using technology, we found that Juan’s investment account can be modeled by the function, c(x)=3x2-2x+10, in thousands of dollars. What was Juan’s initial investment?
A)$5
B)$10
C)$5,000
D)$10,000
Answers
Initial investment is given when [tex]x=0[/tex], so substituting this into [tex]c(x)[/tex] we have
[tex]c(0)=3 (0)^{2}-2(0)+10 [/tex]
[tex]c(0)=10[/tex]
Hence, correct answer is B $10
Answer:
D) $10,000.
Step-by-step explanation:
We have been given a function [tex]c(x)=3x^2-2x+10[/tex], which represents Juan’s investment account in thousands of dollars. We are asked to find Juan's initial investment.
To find Juan's initial investment, we will substitute [tex]x=0[/tex] in our given function.
[tex]c(0)=3(0)^2-2(0)+10[/tex]
[tex]c(0)=3*0-0+10[/tex]
[tex]c(0)=10[/tex]
Since the function gives Juan's investment in thousands of dollars, so Juan's initial investment would be [tex]10\times \$1,000=\$10,000[/tex], therefore, option D is the correct choice.