Answer
Emily has 2 tacos now after giving her friends the 3 tacos.
Explanation
Emily had 5 tacos.
She gave her friends 3 tacos.
Number of tacos that Emily has now
= (Initial number of tacos she had) - (Number of tacos she gave her friends)
Initial number of tacos she had = 5 tacos
Number of tacos she gave her friends = 3 tacos
Number of tacos that Emily has now
= (Initial number of tacos she had) - (Number of tacos she gave her friends)
= 5 - 3
= 2 tacos
Hope this Helps!!!
The family budget is illustrated in the figure to the right. What is the total take-home pay and what percent is allocated for transportation?The total take home pay is $The percent of the take-home pay allocated for transportation is %
• Total take-home pay
As we have the quantity for each section, we can add all and get the total as follows:
[tex]390+300+90+70+90+90+170+150+150[/tex]Simplifying:
[tex]=1500[/tex]• Percentage allocated for transportation
To get the percent for transportation, we have to divide the quantity of transportation against the total and multiply it times 100%:
[tex]\frac{150}{1500}\times100\%=10\%[/tex]Answer:
• The total take home pay is $1500
,• The percent of the take-home pay allocated for transportation is 10%
Determine whether the given value is a statistic or a parameter.A study was conducted of all 2004 voting adults.Choose the correct answer belowA. The value is a statistic because it is a numerical measurement describing some characteristic of a population.B. The value is a parameter because it is a numerical measurement describing some characteristic of a sample.C. The value is a parameter because it is a numerical measurement describing some characteristic of a population.D. The value is a statistic because it is a numerical measurement describing some characteristic of a sample.
To answer this question we need to remember the definition of both parameters and statistics:
• A parameter is a number describing a whole population
,• A statistic is a number describing a sample
In this case we notice that the study was conducted to all 2004 voting adults, hence the value whatever it may be will be a parameter. Therefore we conclude that:
The value is a parameter because it is a numerical measurement describing some characteristic of a population.
And the correct option is C
Castel has homework in four subjects. Heis deciding what order to complete themin.
I need to know the next 7 terms of the sequences
Given:
a₁ = 2/5
a₂ = 4/5
Since the first 2 terms are given, let's determine the remaining 3 terms using the given formula:
[tex]\text{ a}_n\text{ = a}_{n-2}\text{ }.\text{ a}_{n-1}[/tex]We get,
For a₃,
[tex]\text{ a}_3\text{ = a}_{3-1}\text{ }.\text{ a}_{3-2}\text{ = a}_1\text{ }.\text{ a}_2[/tex][tex]\text{ a}_3\text{ = \lparen}\frac{2}{5})(\frac{4}{5})\text{ = }\frac{8}{25}[/tex]For a₄,
[tex]\text{ a}_4\text{ = a}_{4-2}\text{ }.\text{ a}_{4-1}\text{ = a}_2\text{ }.\text{ a}_3[/tex][tex]\text{ a}_4\text{ = \lparen}\frac{4}{5})(\frac{8}{25})\text{ = }\frac{20}{125}\text{ = }\frac{4}{25}[/tex]For a₅,
[tex]\text{ a}_5\text{ = a}_{5-2}\text{ }.\text{ a}_{5-1}\text{ = a}_3\text{ }.\text{ a}_4[/tex][tex]\text{ a}_5\text{ = \lparen}\frac{8}{25})(\frac{4}{25})\text{ = }\frac{32}{625}[/tex]Therefore, the first five terms of the sequence are the following:
[tex]\text{ }\frac{2}{5}\text{ , }\frac{4}{5}\text{ , }\frac{8}{25}\text{ , }\frac{4}{25}\text{ , }\frac{32}{625}[/tex]For another two terms.
For a₆,
[tex]\text{ a}_6\text{ = a}_{6-2}\text{ }.\text{ a}_{6-1}\text{ = a}_4\text{ }.\text{ a}_5[/tex][tex]\text{ a}_6\text{ = \lparen}\frac{4}{25})(\frac{32}{625})\text{ = }\frac{128}{15,625}[/tex]For a₇,
[tex]\text{ a}_7\text{ = a}_{7-2}\text{ }.\text{ a}_{7-1}\text{ = a}_5\text{ }.\text{ a}_6[/tex][tex]\text{ a}_7\text{ = \lparen}\frac{32}{625})(\frac{128}{15,625})\text{ = }\frac{4,096}{9,765,625}[/tex]What is the answer to 9-5(8-3)x9+26
Calculating the value of this expression, we have that:
[tex]\begin{gathered} 9-5\mleft(8-3\mright)\cdot9+26 \\ 9-5(5)\cdot9+26 \\ 9-25\cdot9+26 \\ 9-225+26 \\ 9-199 \\ -190 \end{gathered}[/tex]So the value of the expression is -190.
what does 17/10x 10/17 equal
Is the following linear, exponential, or neither? 3,6,9,12,15,18...
Given:
3,6,9,12,15,18...
We need to find the difference.
The difference between 3 and 6 is 6-3 =3.
The difference between 6 and 9 is 9-6 =3.
The difference between 9 and 12 is 12-9 =3.
The difference between 12 and 15 is 15-12 =3.
The difference between 15 and 18 is 18-15 =3.
Recall that linear have equal differences.
We get an equal difference between each value.
The form of the equation is
[tex]y=3x[/tex]Hence the given is linear.
what is the area of the circle below? A. 153.94B. 200.36C. 158.63D. 180.25
As the diameter of the circle is 14 cm
So the radius is half of the circle i.e 7 cm
The area of the circle is:
[tex]undefined[/tex]just some basic algebraSolve the following equation:12 = 8a
12 = 8a
Dividing by 8 at both sides of the equal sign, we get:
[tex]\begin{gathered} \frac{12}{8}=\frac{8a}{8} \\ \frac{3}{2}=a \end{gathered}[/tex]In the picture, point C is a point of tangency.815mDA=DE =
Since the angle at which a tangent of a circle meets a radius of the circle is 90 degrees, the triangle ACD is a right triangle and we can apply the Pythagorean theorem to find the length of side DA, which is the hypothenus, as follows:
[tex]\begin{gathered} \text{hypothenus}^2=opposite^2+adjacent^2 \\ \end{gathered}[/tex][tex]\begin{gathered} DA^2=DC^2_{}+CA^2 \\ \end{gathered}[/tex][tex]\begin{gathered} DA^2=15^2+8^2=225+64=289 \\ DA=\sqrt[]{289}=17 \end{gathered}[/tex]Thus:
[tex]DA=17[/tex]Now, to find the value of DE, we observe that AE is the radius of the circle which we have been given to be 8.
Thus, we have that:
[tex]DE=DA-AE[/tex][tex]DE=17-8=9[/tex]Therefore:
[tex]DE=9[/tex]14. Of the students in Myra's grade, 12% are going on a field trip. Which decimal number represents the percent of students going on the trip? *
Answer
Explanation:
The symbol for percentage % means that the number is divided by 100. It means that 12% is equivalent to:
[tex]12\text{ \% = }\frac{12}{100}=0.12[/tex]Therefore, the decimal number that represents the percentage of students going on the trip is 0.12
please can you help me to do this problem please.
This situation is represented by an exponential function since it increases double every 4 hours
It has an initial value of 90 pounds of algae:
[tex]\begin{gathered} 12\text{ hours have 3 periods of 4 hours, then} \\ \text{Exponential function is represented:} \\ y=ax^n \\ a=\text{initial value} \\ x=\text{common ratio} \\ n=\text{period} \\ \end{gathered}[/tex]So,
[tex]\begin{gathered} y=90(2)^3 \\ y=90(2)^3 \\ y=720\text{ pounds} \end{gathered}[/tex]- 3x + 7 how do you solve this
Miss Dennison is picking up the books in her classroom for the summer each box holds 9 books she has 24 math books in 27 science books to pack how many boxes will she need
To determine how many boxes she will need, first step is to calculate how many books Miss Dennison has in total, that is the math books + the science books:
[tex]24+27=51[/tex]She can only pack 9 books per box, to determine how many boxes she needs you have to divide the number of books by the number of books that fit each box:
[tex]\frac{51}{9}=5.67[/tex]This means that she will fill 5 boxes with 9 books and a sixth one will have only 6 books.
She will use a total of 6 boxes.
Simplify and state restrictions. Show the factors before you simplify. a 2a2-a-1 a2–1 Х 4a? +40 2a2+7a+3
Given:
[tex]\frac{2a^2-a-1}{a^2-1}\times\frac{4a^2+4a}{2a^2+7a+3}[/tex]Factorize the given expression.
[tex]\text{ Use -a=-2a+a.}[/tex][tex]\frac{2a^2-2a+a-1}{a^2-1}\times\frac{4a^2+4a}{2a^2+7a+3}[/tex]Take out the common terms.
[tex]\frac{2a(a-1)+(a-1)}{a^2-1}\times\frac{4a^2+4a}{2a^2+7a+3}[/tex][tex]\frac{(a-1)(2a+1)}{a^2-1}\times\frac{4a^2+4a}{2a^2+7a+3}[/tex][tex]Use\text{ }a^2-1=(a-1)(a+1).[/tex][tex]\frac{(a-1)(2a+1)}{(a-1)(a+1)}\times\frac{4a^2+4a}{2a^2+7a+3}[/tex][tex]\text{Take out the co}mmon\text{ term }4a^2+4a=4a\mleft(a+1\mright).[/tex][tex]\frac{(a-1)(2a+1)}{(a-1)(a+1)}\times\frac{4a(a+1)}{2a^2+7a+3}[/tex][tex]\text{Use 7a=6a+a in }2a^2+7a+3.[/tex][tex]\frac{(a-1)(2a+1)}{(a-1)(a+1)}\times\frac{4a(a+1)}{2a^2+6a+a+3}[/tex]Take out common term.
[tex]\frac{(a-1)(2a+1)}{(a-1)(a+1)}\times\frac{4a(a+1)}{2a(a^{}+3)+(a+3)}[/tex][tex]\frac{(a-1)(2a+1)}{(a-1)(a+1)}\times\frac{4a(a+1)}{(a^{}+3)(2a+1)}[/tex]The restrictions are
[tex]a\ne1,-1,-3\text{ and }\frac{-1}{2}\text{.}[/tex]Simplify the given expression
[tex]\frac{(a-1)(2a+1)}{(a-1)(a+1)}\times\frac{4a(a+1)}{(a^{}+3)(2a+1)}[/tex]Cancel out the common factors.
[tex]\frac{4a}{(a^{}+3)}[/tex]The answer is :
[tex]\frac{2a^2-2a+a-1}{a^2-1}\times\frac{4a^2+4a}{2a^2+7a+3},\text{ }a\ne1,-1,-3\text{ and }\frac{-1}{2}\text{.}[/tex][tex]\frac{4a}{a^{}+3},\text{ }a\ne-3.[/tex]
A ladder leans against a building, making a 46 angle of elevation with the ground.The top of the ladder reaches a point on the building that is 21 feet above theground. To the nearest tenth of a foot, what is the distance, x between the base ofthe building and the base of the ladder? If the answer does not have a tenths placethen include a zero so that it does.
Given
A ladder leans against a building, making a 46 degree, angle of elevation with the ground.
The top of the ladder reaches a point on the building that is 21 feet above the ground.
To find: The distance, x between the base of the building and the base of the ladder.
Explanation:
It is given that,
The height of the building is 21 feet.
The angle of elevation is 46 degrees.
Therefore,
[tex]\begin{gathered} \tan46=\frac{21}{x} \\ x=\frac{21}{\tan46} \\ x=\frac{21}{1.0355} \\ x=20.27946 \\ x=20.3ft \end{gathered}[/tex]Hence, the value of x is 20.3ft.
In circle P with m angle NPQ = 62, find the m angleNRQ
Since the measure of angle NPQ is 62°, the measure of arc QN is also 62°.
The measure of the intercepted arc QN is twice the measure of angle NRQ.
[tex]\begin{gathered} m\angle NRQ=\frac{1}{2}arc\text{ QN} \\ m\angle NRQ=\frac{1}{2}(62\degree) \\ m\angle NRQ=31\degree \end{gathered}[/tex]Therefore, the measure of the angle NRQ is 31°.
See attached pic for problem. Answer has to include cancelling of units and proper number of significant figures.
We have:
1 cubic meter = 35.3147 cubic feet
60 seconds = 1 minute
Therefore given 0.618 cubic meters per second:
[tex]0.618\frac{m^3}{s}\times\frac{35.3147ft^3}{1m^3}\times\frac{60s}{1\min }[/tex]Then solve:
[tex]1309.47\frac{ft^3}{\min }[/tex]Answer: 1309.5 cubic feet per minute
Molly’s garden has a unit rate ofStartFraction 3 pink flowers over 2 white flowers EndFractionShe made a table to show how many pink and white flowers she has to plant in various rows.A 2-column table with 4 rows. Column 1 is labeled White (x) with entries 12, 36, B, C. Column 2 is labeled Pink (y) with entries 18, A, 72, 126.What are the missing numbers in the table?A: B: C:
The table is:
White (x) Pink(y)
12 18
36 A
B 72
C 126
The unit rate is 3/2, so for every y (Pink flowers) and x (White flowers), we get:
[tex]\frac{y}{x}=\frac{3}{2}[/tex]Now, we can use this equation to calculate A. Where y is A and x is 36 white flowers, so, solving for A, we get
[tex]\begin{gathered} \frac{A}{36}=\frac{3}{2} \\ A=\frac{3}{2}\cdot36 \\ A=54 \end{gathered}[/tex]At the same way, we can formulate equations to calculate B and C as:
[tex]\begin{gathered} \frac{72}{B}=\frac{3}{2} \\ 72\cdot\frac{2}{3}=B \\ 48=B \end{gathered}[/tex][tex]\begin{gathered} \frac{126}{C}=\frac{3}{2} \\ 126\cdot\frac{2}{3}=C \\ 84=C \end{gathered}[/tex]Answers: A = 54
B = 48
C = 84
Jack is working two summer jobs, making $22 per hour tutoring and making $9 perhour landscaping. In a given week, he can work at most 12 total hours and must earna minimum of $180. Also, he must work no more than 8 hours tutoring. If crepresents the number of hours tutoring and y represents the number of hourslandscaping, write and solve a system of inequalities graphically and determine onepossible solution
The total money Jack is going to make in the given week is a function of the number of hours he is going to dedicate in each of the jobs. if c is the number of hours he will work
4. Noah is solving the inequality 7x + 5 > 2x + 35. First, he solves theequation 7x + 5 = 2x + 35 and gets x = 6. How does the solution to theequation 7x + 5 = 2x + 35 help Noah solve the inequality 7x + 5 > 2x + 35?Explain your reasoning.
Given the inequality below
[tex]7x+5>2x+35[/tex]Noah first solved the equation by changing the inequality sign to the equality sign as shown below
[tex]\begin{gathered} 7x+5=2x+35 \\ \text{Collect like terms} \\ 7x-2x=35-5 \\ 5x=30 \\ \text{Divide both sides by 5} \\ \frac{5x}{5}=\frac{30}{5} \\ x=6 \end{gathered}[/tex]Noah got x = 6
Solving the given inequality given
[tex]\begin{gathered} 7x+5>2x+35 \\ \text{Collect like terms} \\ 7x-2x>35-5 \\ 5x>30 \\ \text{Divide both sides by 5} \\ \frac{5x}{5}>\frac{30}{5} \\ x>6 \end{gathered}[/tex]The solution to the inequality is x > 6
The solution to the first equation helped Noah in knowing the starting point of the solution to the inequality.
While the inequality sign helped Noah deduce whether the value of x is less than or greater than the solution to the first equation Noah solved
Convert this rational numberto its decimal form and roundto the nearest thousandth.5/7
0.714
Explanation:
5/7 = 0.7143 (4 decimal place)
To round to the nearest thousandth, we count the numbers after the point and stop at the 3rd number. Then we round the number after it (fourth number) and add to the 3rd number.
If the fourth number is 5 0r more, we round to 1. If less than 5, we round to zero
In this case, the fourth number after the decimal point is 3. Since it is less than 5, we round to zero.
5/7 to the nearest thousandth = 0.714
2. Israel makes $4.50 an hour as a waiter. Write an expression to represent* 2 points
how much money Israel makes. If you use a variable, make sure to tell me
what it represents!
Your answer
Answer:
4.5x where x is the number of hours Israel works.
Step-by-step explanation:
Define the variable:
Let x be the number of hours Israel works.Given that Israel makes $4.50 an hour as a waiter, an expression to represent how much money Israel makes is:
[tex]\large\boxed{ 4.5x}[/tex]
Let F(x) = f(x ^ 9) and G(x) = (f(x)) ^ 9 You also know that a ^ 8 = 15 , f(a) = 2 , f^ prime (a)=7,f^ prime (a^ 9 )=11
Answer:
Explanation:
a) F'(a)
From what we have:
[tex]\begin{gathered} F(x)\text{ = f\lparen x}^9) \\ F(a)\text{ = f\lparen a}^9) \\ F^{\prime}^(A)\text{ = f'\lparen a}^9)\text{ = 11} \\ \end{gathered}[/tex]b) G'(a)
[tex][/tex]what is1/3as a decimal
To find the decimal form of 1/3, we just divide 1 by 3 in the following way:
We can continue but the residue will always be 1, therefore, the decimal form of 1/3 is 0.3333....
Hello , can you please see attached and give me only the answer.
ANSWER:
not a solution
STEP-BY-STEP EXPLANATION:
We have the following system of equations:
[tex]\begin{gathered} 2x+5y=-18 \\ 6x-4y=15 \end{gathered}[/tex]We have the point (1, -4), which we can interpret like this:
x = 1
y = -4
We replace these values and if it meets the system of equations, if it is a solution and if not, it is not a solution.
Therefore:
[tex]\begin{gathered} 2\cdot1+5\cdot-4=-18 \\ 2-20=-18 \\ -18=-18 \\ \\ 6\cdot1-4\cdot-4=15 \\ 6+16=15 \\ 22=15 \end{gathered}[/tex]The first equation does, but the second does not, which means that the point (1, -4) is not a solution of the system of equations
The value, v, of the hat is less than $9 how do u write the inequality??
Answer: v<9
Step-by-step explanation:
5 times 2 to the power of 2 divided by 2 and x =10
Answer:
10x or 50
Step-by-step explanation:
5 times 2 to the power of 2 divided by 2 is 50 but idont know why theres a x but um 50 is 10x
The table shows the number of miles that Teddy has been running over the past 10 weeks.Weeks: 1, 3, 4, 7, 10Miles: 13,19,22,31,40The number of miles that he runs per week can be represented as a linear function.What is the slope? What does the slope represent in the context of tje problem.
Slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]At any point :
[tex](x_1,y_1)=(1,13)[/tex]and second point:
[tex](x_2,y_2)_{}=(3,19)[/tex]so slope is:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{19-13}{3-1} \\ m=\frac{6}{2} \\ m=3 \end{gathered}[/tex]so slope of function is 3.
and slope represent the unit change of x then independent variable will result in a change in y by the amount of slope that mean after the some weeks how to distance change is define by slope and slope represent the increasing running distance by Teddy with the weeks.
To get from her house to school, Amy travels on one street for 2,550 meters. She then turns and travels on another street for 2,774 meters. This route is represented in the figure by the sequence of points K, L, M. According to the angle shown in the figure and the given information, what is the distance, to the nearest meter, from Amy's house to school represented by the line from K to M in the figure?
Okay, here we have this:
We need to calculate the distance from Amy's house to school represented by the line from K to M in the figure, so we are going to use the cosine law, we obtain the following:
[tex]\begin{gathered} a^2=b^2+c^2-2\cdot b\cdot c\cdot\text{Cos(A)} \\ a^2=2550^2+2774^2-2\cdot2550\cdot2774\cdot\text{Cos(115)} \\ a=\sqrt{-14147400\cos\left(115^{\circ\:}\right)+14197576} \\ a\approx4492 \end{gathered}[/tex]Finally we obtain that the distance, to the nearest meter, from Amy's house to school represented by the line from K to M in the figure is 4492 meters.