The inequality that can be used to determine x, the maximum number of outfits Luis can purchase while staying within his budget is x ≤ 4
How to solve inequality?Luis has $420 to spend at a bicycle store for some new gear and biking outfits.
He buys a new bicycle for $209.67.He buys 2 bicycle reflectors for $6.04 each and a pair of bike gloves for $25.77.He plans to spend some or all of the money he has left to buy new biking outfits for $37.16 each.Therefore,
x = maximum number of outfits Luis can purchase while staying within his budget.
Hence, the inequality that can be used to represent the situation is as follows;
209.67 + 6.04(2) + 25.77 + 37.16x ≤ 420
235.44 + 12.08 + 37.16x ≤ 420
247.52 + 37.16x ≤ 420
37.16x ≤ 420 - 247.52
37.16x ≤ 172.48
divide both sides by 37.16
x ≤ 4.64155005382
x ≤ 4
Therefore, the inequality that can be used to determine x, the maximum number of outfits Luis can purchase while staying within his budget is x ≤ 4
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100 POINTS!! Can someone please help me determine what im doing wrong on 1 and 2..
Answer: 1) m=12/7 2) y=(12/7)x
Step-by-step explanation:
C(0,0) D(7,12)
[tex]\displaystyle\\1)\ Slope=m=\frac{rise}{run} =\frac{y_D-y_C}{x_D-x_C} \\\\m=\frac{12-0}{7-0} \\\\m=\frac{12}{7}[/tex]
[tex]\displaystyle\\2)\ y=mx+b\ \ \ \ m=\frac{12}{7} \ \ \ \ C(0,0)\\0=\frac{12}{7} *0+b\\\\0=0+b\\\\0=b\\\\Hence,\\\\y=\frac{12}{7} x+0\\\\y=\frac{12}{7}x[/tex]
Which is more affected by extreme observations, the mean or median? and how about the standard deviation or iqr?
Mean and standard deviation is more affected by extreme observations.
Mean is the summation of all the values divided by the total number of values. It is also called as average. Median is the middle value.Standard deviation is the dispersion of a dataset relative to its mean. In case of extreme items arithmetic mean is affected very much. For this reason, it no longer remains representative of the distribution. As standard deviation is the positive square root of the arithmetic mean of the square of deviations of all given values, it is also affected by extreme items. As median is a partition value, it is not affected by extreme items.
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Write an absolute value inequality for the graph below.
Use x for your variable.
Answer: The absolute value inequality will be |x| ≥ -2.
Step-by-step explanation: gl :)
Answer:
more simple here da answer but this answer is from the person above i just putted the answer
The absolute value inequality will be |x| ≥ 6
Complete the sentence. The distance between 4 and 17 is
Answer:
13
Step-by-step explanation:
You just have to minus 17 with 4 to get the answer!
Distance = 17 - 4 = 13 units
Naomi is working two summer jobs, making $12 per hour babysitting and
making $20 per hour lifeguarding. In a given week, she can work no more
than 12 total hours and must earn a minimum of $160. If a represents the
number of hours babysitting and y represents the number of hours
lifeguarding, write and solve a system of inequalities graphically and
determine one possible solution.
Inequality 1: y ≥
Inequality 2: y >
The system of inequalities is y ≤ 12 - x and y ≥ 8 - (3/5)x and the point (2 , 8) satisfies both inequalities.
A mathematical statement known as an inequality contrasts two algebraic expressions using the greater-than (>), less-than (<), and other inequality symbols. A compound inequality is a pair of inequality related by and or or or. The properties of inequalities will be used in this course to solve linear and compound inequalities in one variable. Absolute-value equations and inequalities continue to be studied.
While there are many similarities between solving equations and solving inequalities, we must also take the direction of the inequality into consideration.
Now let us form the two inequalities:
If x is the number of hours she worked babysitting and y is the number of hours she spent lifeguarding then
x + y ≤ 12
or, y ≤ 12 - x
Now if she makes 12 dollars babysitting and 20 dollars lifeguarding then
12 x + 20 y ≥ 160
or , 20y ≥ 160 - 12x
or , y ≥ 8 - 3/5x
Let us solve the inequalities graphically.
From the graph we can see that
the point (2 , 8) satisfies both inequalities.
So if Naomi works 2 hours babysitting and 8 hours lifeguarding she can satisfy both conditions.
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i need help with this please
Answer:212
Step-by-step explanation: 36 plus 36 40 plus 40 29 plus 29 19 plus ten then add the sums then u get 212
Find the midpoint of the given line segment with the given endpoints
(-3, 8) and (2, -4)
Answer:i have same question
Step-by-step explanation:
help pls! example is not needed
Answer: 401
Step-by-step explanation:
-177 + 578 = 401
What’s the answer pls I need help
Answer:
C= [tex]\frac{AD}{B}[/tex]
Step-by-step explanation:
the answer is c because I said it c and the way you get the answer is by dividing the equality of the fraction
How will this looks like
Answer:
Step-by-step explanation:
Need help ASAP please !!!!
Answer:
The answer is D.
Step-by-step explanation:
1.4x 10 to the 3rd power
Answer:
1400x
Step-by-step explanation:
10^3 in scientific notation means to move the decimal 3 places to the right.
About 70% of people are right-handed. Of 352students in a school. Which is a reasonable number of right-handed students ?
Answer: 246 right-handed students
Step-by-step explanation:
70%=
70/100=0.7
352*0.7=246.4
246.4=246 right-handed students ==> I rounded the answer since you can have 246 students and an additional 0.4 students. You can't have part of a student.
Are 5y and 5x like terms?
Answer:
No. They include 2 different elements that are unrelated, being x and y, making them unlike terms.
Answer:no
Step-by-step explanation:in order for them to be like terms they would have to have the same variables
A community center sells a total of 297 tickets for a basketball game. An adult ticket costs $3. A student ticket costs $1. The sponsors collect $ 487 in ticket sales. Find the number of each type of ticket sold.
a G.P has 6 terms .if the 3rd term and the 4th terms are 28 and -56 respectively.find the common ratio,the first term ,and the sum of the G.P
Answer:
Hello,
Step-by-step explanation:
[tex]u_2=u_1*r\\u_3=u_1*r^2\\u_4=u_1*r^3\\\\\dfrac{u_4}{u_3} =r=\dfrac{-56}{28} =\boxed{-2}\\\\u_1=\dfrac{u_3}{r^2} =\dfrac{28}{(-2)^2} =\dfrac{28}{4}=\boxed {7}\\\\\\\displaystyle\ s=\sum_{i=1}^6\ u_i\\\\=u_1*\sum_{i=1}^6\ r^{i-1}\\\\=7*\dfrac{(-2)^6-1}{-2-1} \\\\=-7*\dfrac{65}{3} \\\\\\\boxed{s=-\dfrac{455}{3} }\\[/tex]
If cot 0=7/8 evaluate : (i) (1 + sin 8)(1-sin 8) (1 + cos 0) (1 - cos8) (ii) cot¹0
Answer: The value of (1 + sin 8)(1-sin 8) (1 + cos 0) (1 - cos8) =0.2086
and [tex]cot^{1}[/tex]θ=7/8
Step-by-step explanation:
Let base and height of a triangle be 7k and 8k
By applying Pythagoras theorem in Δ ABC, we get
[tex]AC^{2} = AB^{2} +BC^{2}[/tex]
= (7k)2 + (8k)2
= 49k2 + 64k2
= 113k2
AC = √113k2
= √113k
so hypotenuse =[tex]\sqrt{133}k[/tex];
now ;
=(1 + sin θ) (1 - sin θ)(1 + cos θ) (1 - cos θ)[since : (a + b)(a - b) = (a2 - b2)]
=(1 - [tex]sin^{2}[/tex]θ)(1 - [tex]cos^{2}[/tex]θ)
=[1 - (8/√113)2] [1 - (7/√113)2]
= (1 - 64/113) (1 - 49/113)
= (49/113) (64/113)
= 0.2086
hence;
The value of (1 + sin 8)(1-sin 8) (1 + cos 0) (1 - cos8) =0.2086
and [tex]cot^{1}[/tex]θ=7/8
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Answer:
Step-by-step explanation:We will use the basic concepts of trigonometric ratios to solve the problem.
Consider ΔABC as shown below where angle B is a right angle.
If cot θ = 7/8, evaluate: (i) (1 + sin θ)(1 - sin θ) / (1 + cos θ)(1- cos θ), (ii) cot²θ
cot θ = side adjacent to θ / side opposite to θ = AB/BC = 7/8
Let AB = 7k and BC = 8k, where k is a positive integer.
By applying Pythagoras theorem in Δ ABC, we get
AC2 = AB2 + BC2
= (7k)2 + (8k)2
= 49k2 + 64k2
= 113k2
AC = √113k2
= √113k
Therefore, sin θ = side opposite to θ / hypotenuse = BC/AC = 8k/√113k = 8/√113
cos θ = side adjacent to θ / hypotenuse = AB/AC = 7k/√113k = 7/√113
(i) (1 + sin θ) (1 - sin θ) / (1 + cos θ) (1 - cos θ) = 1 - sin2θ / 1 - cos2θ [Since, (a + b)(a - b) = (a2 - b2)]
= [1 - (8/√113)2] / [1 - (7/√113)2]
= (1 - 64/113) / (1 - 49/113)
= (49/113) / (64/113)
(ii) cotФ≈
= 49/64
solve the equation2 ( x-4 ) = -22
Answer:9
Step-by-step explanation:
9
Answer:
x = -7
Step-by-step explanation:
2(x-4) = -22
2*x + 2*-4 = -22
2x - 8 = -22
2x = -22 + 8
2x = -14
x = -14/2
x = -7
Check:
2(-7-4) = -22
2*-11 = -22
10. A Cube-root function with a reflection across the y-axis; a vertex of (4,0).
We need to know about cube-root function and reflection to solve this problem. The function is f(x)=[tex]-\sqrt[3]{x-4}[/tex]
A cube-root function is the inverse of a cubic function, a cubic function can be given by f(x)=[tex]x^{3}[/tex], the inverse of this is a cube-root function which can be given by f(x)=[tex]\sqrt[3]{x}[/tex] with vertex at (0,0). The general formula for a cube root function is given be
f(x)=a[tex]\sqrt[3]{x-h} +k[/tex] where a is the measure of how horizontally compressed the graph is and (h,k) is the vertex of the graph. In the question we have to find a cube root function which has been reflected about the y-axis, which means our a will be negative. The vertex of the graph is at (4,0) so (h,k) is (4,0). Thus the cube root function we need is
f(x)=-[tex]\sqrt[3]{x-4}[/tex]
Therefore we found the cube root function that has been reflected about y-axis and the vertex at (4,0) to be f(x)=[tex]-\sqrt[3]{x-4}[/tex]
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A survey from the Department of Motor Vehicles was given to residents in the city of Smallville. The results showed that 80% held a valid driver’s license. Of the individuals who held a value driver’s license, 10% has at least one traffic violation, whereas 30% who did not have a valid driver’s license has at least one traffic violation. What percent of Smallville residents have at least one traffic violation?
A. 14%
B. 28%
C. 38%
D. 40%
Percent of residents have at least one traffic violation with 80% held a valid driver’s license,10% has at least one traffic violation and 30% does not have valid license is 14%.
As given,
A=Person has a driver license
A'=Person does not have a driver license
P(A)=0.80
P(A')=0.20
For A, 10% has at least one traffic violation
For A', 30% had at least one traffic violation.
Probability with at least one traffic violation
=Probability of( A and one traffic violation +A' and one traffic violation)
=0.80(0.10)+0.20(0.30)
=0.08+0.06
=0.14
=14%
Therefore, percent of the residents with at least one traffic violation is 14%.
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PLEASEE HELP!! I WILL MARK BRAINLIEST!
Write the expression as a number in scientific notation. quantity 5 times 10 squared end quantity times quantity 4.2 times 10 to the fourth power end quantity all divided by quantity 6 times 10 cubed 3.5 x 103 3.5 x 105 3.2 x 103 3.2 x 105
The expression in scientific notation is given as follows:
3.5 x 10³.
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
For this problem, the expression is given by:
[tex]\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3}[/tex]
When two factors of a multiplication have the same base and different exponent, we keep the base and add the exponents, hence:
[tex]10^2 \times 10^4 = 10^6[/tex]
5 x 4.2 = 21, hence the expression is:
[tex]\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3} = \frac{21 \times 10^6}{6 \times 10^3}[/tex]
When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:
[tex]\frac{21 \times 10^6}{6 \times 10^3} = 3.5 \times 10^3[/tex]
Which is the simplified expression.
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Three friends go to a store to rent games and movies.
Calvin rents 3 movies and 2 video games and spends a
total of $25. Samantha rents 2 movies and 1 video game
and spends a total of $14.75.
Answer:
Let x = the cost of a movie
Let y = the cost of a game
Using these variables, we can set up equations.
3x + 5y = 42 eq1
9x + 7y = 72 eq2
We have here a system of equations, where we have two or more equations with two or more different variables. We use the elimination method to solve for the variables.
Multiply eq1 by 3. Keep eq2.
9x + 15y = 126 eq1
9x + 7y = 72 eq2
Subtract eq2 from eq1 to eliminate the x terms.
8y = 54
y = 6.75
This rental cost of one video game is $6.7
Substitute the value of y into eq1 to solve for x. This will give you the rental cost of one movie.
Step-by-step explanation:
pa brainly po
The cost of movie is $4.5 and cost of video game is $5.75.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the cost of movie and y be the cost of video game
Calvin rents 3 movies and 2 video games and spends a total of $25.
3x+2y=25...(1)
Samantha rents 2 movies and 1 video game and spends a total of $14.75.
2x+y=14.75
y=14.75-2x..(2)
Substitute (2) in equation (1)
3x+2(14.75-2x)=25
3x+29.5 -4x=25
-x+29.5 = 25
Subtract 29.5 from both sides
-x=25-29.5
x=4.5
Now let us plug in x value in equation (2)
y=14.75-2(4.5)
y=5.75
Hence, the cost of movie is $4.5 and cost of video game is $5.75.
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Scores
14
8
13
10
20
12
11
Find the students median quiz score
Answer:
In ascending order:8,10,11,12,13,14,20
N=7
Step-by-step explanation:
Position of median=(N+1/2)th item
=(7+1/2)th item
(8/2)th item
4th item
=:4th item =12
So,12is median quiz score.
Hope this helpful for you.
J + 6 4/7 = 12 1/21
What is j
Three answers all equivalent:
5.476190...
115/21
5 10/21
pick whichever is applicable, they are all the same
Answer:
68 tadkfidekmfmvovovffrffffgGraph the following system of equations.
3x + 6y = 6
2x + 2y = 6
What is the solution to the system?
A)There are infinitely many solutions.
B)There is one unique solution, (4, -1).
C)There is one unique solution, (6, -2).
D)There is no solution.
The solution for the system of equations 3x + 6y = 6 and 2x + 2y = 6 is
B) There is one unique solution, (4, -1).
What is a solution for a system of equations?The solutions for a system of equation is the intersecting points between them
We know that system of equations has an infinite number of solutions when they coincide with each other as every point of a line falls into another line.
Systems of equations have a unique solution when they intersect each other and that intersecting point is the solution.
The system of equations has no solution when they are parallel to each other.
So, now we'll graph this system of equations and observe where they lie in XY coordinate.
Observing the graphs of both of these equations we can conclude that they have a unique solution (4,-1).
We can also solve these equations by multiplying equation(ii) by 3 and subtracting it from equation(i) and obtaining the values of (x,y).
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Are 12,16,20 pythagorean triplets. Explain why.
Answer:Yes,these are pythagorean triplets because you can divide all three by the same number which is 4.
Step-by-step explanation:12 divided by 4 is 3. 16 divided by 4 is 4. And 20 divided by 4 is 5.
Answer:
Yes
Step-by-step explanation:
They all have a scale factor of 4 and 3,4,5 are also Pythagorean triplets
Deondra is 1.35 meters tall. At 10 a.m., she measures the length of a tree's shadow to
be 35.25 meters. She stands 31.2 meters away from the tree, so that the tip of her
shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
Answer:
If the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be : 11.74m
Given:
Denora height=1.35 meters
Length =35.25 meters
Width =31.2 meters
Height of the tree=x
Proportion:
1.35 : 35.25 :: x : 31.2
Now let's determine the height of the tree:
35.25 - 31.2 / 1.35 = 35.25 / x
4.05 / 1.35 = 35.25 / x
Cross multiply
4.05x = 35.25 × 1.35
4.05x = 47.58
Divide both sides
x = 47.58 / 4.05
x = 11.74
In conclusion, if the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be: 11.74m
How do i write the value of this underlined digit 2.439 and 1.987 and 6.175 0.618
The value of the underlined digit 2.439 , 1.987 , 6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.
As given in the question,
Given number = 2.439 , 1.987 , 6.175 , and 0.618
Value of underlined digit :
2.439 = Tenth or 4 / 10
1.987 = Thousandth or 7/1000
6.175 = Ones or 6
0.618 = Hundredth or 1/100
Therefore, the value of the underlined digit 2.439 , 1.987 , 6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.
The complete question is :
How do i write the value of this underlined digit 2.439 , 1.987 , 6.175 , and 0.618 ?
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need help like rn pls!!!
Answer:
x = 3
Step-by-step explanation:
Separate | 2 + x | = | x - 8 | into 2 possibilities
2 + x = x - 8
2 + x = -x + 8 (right side's signs are swapped)
Solve the equations:
Top equation results in no solution as the x's cancel out.
2 + x = -x + 8
2x = 6
x = 3
| 2 + 3 | = | 3 - 8 |
| 5 | = | -5 |
5 = 5
This is the correct solution.
Let's solve the problem,
→ |2 + x| = |x - 8|
→ 2 + x = -(x - 8)
→ 2 + x = -x + 8
→ x + x = 8 - 2
→ x = 6/2 = 3
Hence, the value is 3.
flip a coin will be flipped three times, and the number of heads recorded. explain why this is a binomial experiment. check all four required conditions.
When a coin will be flipped three times, and the number of heads recorded. The reason that, this is a binomial experiment is "there are a set number of trials, n. The coin would be flipped three times, a fixed number of times."
What is binomial experiment?A binomial experiment is one that has a fixed number of independent trials only with two outcomes. For instance, the outcome could be a yes or no response. When you toss a coin, you might wonder, "Will I get heads?" The response is either yes or even no.
That is the basic idea, but in order to label an experiment a binomial experiment, the following rules must be followed.
There must be a set number of trials. It should go without simply stating; if you don't have a set number of trials, you could keep tossing that coin indefinitely.Each trial is a separate event. "Independent" means that each time you duplicate the trial (i.e. tossing this same coin), it's a brand new trial with no effect on the outcome.Each trial is a separate event. "Independent" means that each time you replicate the trial (i.e. tossing this same coin), it's a brand new trial with no effect on the outcome.To know more about the binomial experiment, here
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