Answer:
[tex]7\cdot g-3 = 42[/tex]
Step-by-step explanation:
As the first three guest are three and each aditional guest costs $ 7 dollars. The formula is presented as follows:
[tex]7\cdot (g-3) = 42[/tex]
Or:
[tex]7\cdot g = 63[/tex]
Or:
[tex]g = 9[/tex]
The wrong equation is:
[tex]7\cdot g-3 = 42[/tex]
The equation of a line is −6x−2y=−18.
What is the x-intercept of the line?
Enter your answer in the box.
The government plans to build 75,000 new homes. 1/5 of the new homes will be built in a city near you. How many is that?
Define a variable and write an expression for the phrase.
the quotient of 2 times a number and 8
.
Answer:
The expresion for the phrase is:
[tex]\frac{2x}{8}[/tex]
Step-by-step explanation:
In order to get the expression for the phrase, we have to understand the described operations in it.
The phrase starts with "the quotient of...", therefore the expression must be a fraction:
[tex]\frac{A}{B}[/tex]
To get what is the numerator (A) and the denominator (B), we have to analyze carefully the rest of the phrase: "...2 times a number and 8"
In this case, the word "and" separates the numerator from the denominator:
Numerator: "2 times a number"
This unknown number is called x
Therefore, numerator of the fraction (A) is:
[tex]A = 2x[/tex]
And the Denominator: "8"
Therefore: [tex]B=8[/tex]
Finally, replacing values:
[tex]\frac{A}{B} = \frac{2x}{8}[/tex]
The length of one side of a square is 3n+2. The Perimeter of the square is 4(3n+2).Which expression is equivalent to the perimeter.
Answer:
[tex]P=12n+8[/tex]
Step-by-step explanation:
A square is a geometric figure that is made up of four equal and parallel sides.
The perimeter is the contour of a surface or figure. In other words, in a figure, the perimeter is the sum of all its sides.
In this sense, since in a square all its sides are equal, the perimeter of a square is given by:
[tex]Perimeter=P=l+l+l+l=4l\\\\Where:\\\\l=Length \hspace{3}of \hspace{3}one\hspace{3} of\hspace{3} its\hspace{3} sides[/tex]
So, in this case:
[tex]l=3n+2[/tex]
Therefore the perimeter is:
[tex]P=3n+2+3n+2+3n+2+3n+2[/tex]
Adding like terms:
[tex]P=(3n+3n+3n+3n)+(2+2+2+2)=12n+8[/tex]
PLEASE HELP: When two-thirds of an even number is added to one-quarter of the next consecutive even number, the result is 28. What are the numbers?
Which one of the following statements is true of parallel lines?
85% of all cars sold in chicago are some color other than black. if three hundred black cars were sold in chicago, how many cars were sold there?
Show all work please
Final answer:
To find the total number of cars sold in Chicago, we can use percentages and proportions. We can set up a proportion and solve for the unknown variable. The total number of cars sold in Chicago is 1700.
Explanation:
To solve this problem, we can use the concept of percentages and proportions. We are given that 85% of all cars sold in Chicago are some color other than black, and we also know that 300 black cars were sold. We need to find the total number of cars sold in Chicago.
First, let's find the ratio of black cars to colored cars. Since the percentage of colored cars is 85%, the percentage of black cars would be 100% - 85% = 15%. We can express this as a ratio by writing it as 15/100.
Now, let's set up a proportion:
x/300 = 85/15
Next, we can cross-multiply and solve for x:
15x = 300 * 85
x = (300 * 85) / 15
x = 1700
Therefore, the total number of cars sold in Chicago is 1700.
True or False: To convert 50 hectares to acres, divide 50 by 4.05 × 10-1
Which is precisely defined using the undifined terms point and plane
After 2 months of living at his new apartment, Henry had 2 cats. Six months later, Henry still had 2 cats. Which of the graphs below models Henry's cat population?
I know it is just a straight line but I need to know if its horizontal or vertical..
Answer:
The graph with the horizontal line.
Maria started with $10. She has been saving $3 dollars each week to buy a softball bat. The amount of money Maria has depends on how many weeks she has been saving. Which expression represents Maria after x weeks?
A) f(x) = 10x + 3
B) f(x) = 3x + 10
C) f(x) = 10x - 3
D) f(x) = 3x - 10
Tracey paid $170 for an item that was originally priced at $580. What percent of the original price did Tracey pay? Round your answer to two decimal places.
yvonne made 2 3/4 quarts of punch. Write 2 3/4 as a decimal
which of the following function types exhibit the end behavior f(x)-->0 as x --> -infinity?
power; y=x^n;n is even and greater than zero
identity; y=x
absolute value; y= absolute value of x
reciprocal;y=1/x
root; y=^n sort x; n is even and greater than zero
exponential; y=b^x, b>0
again, I know that two of these are correct but I'm not sure which ones. Please let me know!
Thank you!
The two function types where f(x) tends to 0 as x approaches negative infinity are the reciprocal function (y=1/x) and the root function (y=√^n x) where n is even and greater than zero.
Explanation:The question asks which function types have the end behavior f(x) → 0 as x → -∞ (negative infinity). To answer this, we consider the given functions:
Power; y=x^n; n is even and greater than zero.Identity; y=x.Absolute value; y= |x|.Reciprocal; y=1/x.Root; y=√^n x; n is even and greater than zero.Exponential; y=b^x, b>0.Of these functions, the ones that exhibit the end behavior of f(x) heading towards zero as x heads towards negative infinity are:
The reciprocal function, y=1/x. As x approaches negative infinity, y approaches zero.The root function, y=√^n x, where n is even and greater than zero, because as x becomes more negative, the root gets closer and closer to zero.Learn more about End Behavior of Functions here:https://brainly.com/question/32061836
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Jack wants to fill a rectangular box with sand. The length of the sand box is 3 feet, width is 6 inches, and height is 2.4 inches. Each bag of sand contains 0.15 cubic foot of sand. How many bags of sand will Jack need to fill the box completely?
[1 foot = 12 inches]
Numerical Answers Expected!
The number of bags of sand that Jack need to fill the box completely are:
2
Step-by-step explanation:The length(l) of the sand box is 3 feet, width(w) is 6 inches, and height(h) is 2.4 inches.
Also,
1 foot=12 inches
This means that:
1 inch=1/12 foot
i.e.
6 inches=0.5 feet
i.e.
w=0.5 feet
and
h=2.4 inches
i.e. h=0.2 feet
Now, we find the volume of the rectangular box.
The volume of the rectangular box is given by:
Volume=lwh
Hence,
Volume=3×0.5×0.2
i.e.
Volume=0.3 cubic feet.
Also, the volume of one bag of sand= 0.15 cubic feet
This means that the number of bags of sand that will fill the box completely is:
(Volume of rectangular box) / (Volume of one bag of sand)
= 0.3/0.15
=2
Hence, number of bags =2
Assume that you own a ruby. Apply the law of detachment to the following conditional statement:
If you have a ruby, then it you have at least $1000.
Which of these statements is true, according to the law of detachment?
You have a ruby.
Someone buys the ruby for $1000.
You sell the ruby.
You have at least $1000.
The statement fourth "You have at least $1000" is correct if you have a ruby, then it you have at least $1000.
What is the law of syllogism?Legal syllogism is a legitimate concept that deals with the law and how it is applied, specifically a type of argument that uses deductive reasoning to determine whether a given act is legal.
We have:
Assume that you own a ruby. Apply the law of detachment to the following conditional statement:
The statement is:
If you have a ruby, then it you have at least $1000.
As we know, the law of detachment, we must let go of attachment to both the desired end and all possible routes to get there in order to actualize our wants.
Thus, the statement fourth "You have at least $1000" is correct if you have a ruby, then it you have at least $1000.
Learn more about the law of syllogism here:
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Given the statement 'If you have a ruby, then you have at least $1000.' and the fact that you have a ruby, the Law of Detachment leads to the conclusion 'You have at least $1000.'
Explanation:The Law of Detachment (also known as Modus Ponens) in logic says that if a conditional statement ('if p then q') is true and the first part of the statement (p) is true, then the second part of the statement (q) is true. Let's apply it to your statement.
The original statement is 'If you have a ruby, then you have at least $1000.' You confirmed the first part 'You have a ruby.' So, according to the Law of Detachment, the resulting correct statement would be 'You have at least $1000.' The other statements about selling or someone buying the ruby are irrelevant to the Law of Detachment.
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Which is the more reasonable measurement of the diameter of a blood cell: 7.4 ⋅ 10−3 mm or 7.4 ⋅ 103 mm? Justify your answer.
Answer:
[tex]7.4\times 10^{-3}\ mm[/tex]
Step-by-step explanation:
Actual measurement of diameter of a blood cell is 6 to 8 μm
Let diameter be d
[tex]1\mu m=10^{-6}\ m[/tex]
[tex]6\times 10^{-6}\ m\leq d\leq 8\times 10^{-6}\ m[/tex]
Now we check the given measurement between the range.
[tex]7.4\times 10^{-3}\ mm[/tex]Change into meter. As we know 1000 mm = 1 m or 1 mm = 10⁻³ m
[tex]7.4\times 10^{-3}\times 10^{-3}\ m[/tex]
[tex]7.4\times 10^{-6}\ m[/tex]
[tex]7.4\times 10^{3}\ mm[/tex][tex]7.4\times 10^{3}\times 10^{-3}\ m[/tex]
[tex]7.4\ m[/tex]
So, [tex]7.4\times 10^{-6}\ m[/tex] lie between [tex]6\times 10^{-6}\ m\leq d\leq 8\times 10^{-6}\ m[/tex]
Hence, [tex]7.4\times 10^{-6}\ m[/tex] more reasonable measurement of diameter of blood cell because it lies between range of diameter of blood cell.
Find the greatest possible error for the measurement 0.991 g. A. 0.001 g B. 0.1 g C. 0.005 g D. 0.0005 g
Line segment YZ was used to translate ABCDE. YZ is 5.5 inches long.what is the length of AA + BB + CC + DD +EE?
Answer:
AA' + BB' + CC' + DD' +EE' = 27.5 inches
Step-by-step explanation:
A translation moves all points of a figure the same distance in the same direction. If line segment YZ is 5.5 inches long, then the distance between original point A and translated point A' would be 5.5 inches. That is also valid to the other points. So, length of AA' = BB' = CC' = DD' = EE' = 5.5 inches. In consequence, AA' + BB' + CC' + DD' +EE' = 5*5.5 inches = 27.5 inches
Approximately 55% of the 750 pupil student body voted for Suresh for student body president. How many students voted for him?
Two cars leave the same location traveling in opposite directions. One car leaves at 3:00 p.m. traveling at an average rate of 55 miles per hour. The other car leaves at 4:00 p.m. traveling at an average rate of 75 miles per hour. Let x represent the number of hours after the first car leaves. How many hours after the first car leaves will the two cars be 380 miles apart?
Enter an equation that can be used to solve this problem in the first box. Solve for x and enter the number of hours in the second box.
Equation:
x =
x = hours
car 1 left an hour before car 2 so you have 55(x+1)
car 2 = 75x
add them together to equal miles driven:
55(x+1) + 75x = 380
55x+55 + 75x = 380
combine like terms:
130x+55 = 380
subtract 55 from each side:
130x = 325
divide both sides by 130
x = 325 /130 = 2.5
x = 2.5 hours
so 2.5 hours
How is 2 and 7 tenths written as a decimal?
A box contains 19 large marbles and 11 small marbles. each marble is either green or white. 5 of the large marbles are green, and 6 of the small marbles are white. if a marble is randomly selected from the box, what is the probability that it is large or green? express your answer as a fraction or a decimal number rounded to four decimal places.
The probability that a randomly selected marble is either large or green is approximately 0.6333 or you can express it as a fraction: 19/30.
Consider the total number of marbles that satisfy either of these conditions.
Total large marbles: 19
Total green marbles: 5
However, the large marbles include the green marbles, so we need to subtract the overlap:
Number of large green marbles: 5
Total marbles that are either large or green = Total large marbles + Total green marbles - Number of large green marbles
Total marbles that are either large or green = 19 + 5 - 5
= 19
Now, we'll find the probability by dividing the total marbles that are either large or green by the total number of marbles:
Probability = (Total marbles that are either large or green) / (Total number of marbles)
Probability = 19 / (19 + 11)
Probability ≈ 0.6333 (rounded to four decimal places)
Therefore, the probability that a randomly selected marble is either large or green is approximately 0.6333 or you can express it as a fraction: 19/30.
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The probability that randomly selected marble from the box is large or green is 0.7667.
Explanation:The probability of selecting a large or green marble from a box can be found by analysing the given information. We have 19 large marbles, out of which 5 are green. We also have 11 small marbles, out of which 6 are small and green since small marbles cannot be large. This means there are a total of 30 marbles (19 large and 11 small), and 9 of them are green. To calculate the probability that a marble is large or green, we need to include all large marbles (since they meet one condition) and add the small green marbles (since they meet the other condition, but aren't already counted with the large marbles).
The number of favorable outcomes is therefore 19 (large marbles) plus 4 (small green marbles), since 5 large marbles have already been counted as green, we don't count them again. That makes a total of 23 favorable outcomes. The probability is the number of favorable outcomes divided by the total number of marbles:
Probability = 23 / 30. As a decimal rounded to four places, this is approximately 0.7667.
Many food products are packaged in a variety of sizes. The list below gives the sizes and costs of fruit juice drinks at one store. $1.92 single-serving multi-pack (serves 6) $1.12 one quart (serves 4) $2.16 two quarts (serves 8) $3.52 one gallon (serves 16) Type your responses here: 1. Choose two different sizes and give an advantage for buying each.
3x-5y=7, x=2y+4 solve by system of equation
PLESE HELP .A student is trying to solve the set of two equations given below: Equation A: x + z = 6 Equation B: 2x + 3z = 1 Which of the following is a possible step used in eliminating the z-term?
Multiply equation B by 3.
Multiply equation A by 2.
Multiply equation B by 2.
Multiply equation A by −3.
Answer:
D. Multiply equation A by −3.
Step-by-step explanation:
We have been given a system of equations.
Equation A: [tex]x + z = 6[/tex]
Equation B: [tex]2x + 3z = 1[/tex]
We are asked to determine the possible step used in eliminating the z-term.
We can see that coefficient of z term is equation B is 3, so eliminate z term from the both equations the coefficient of z term is equation A should be [tex]-3[/tex].
We can make coefficient of z term to [tex]-3[/tex] in equation A by multiplying equation A by [tex]-3[/tex] that will give us:
[tex]-3\cdot x + -3\cdot z =-3\cdot 6[/tex]
[tex]-3x-3z =-18[/tex]
Now, adding equation A and equation B the z term will get eliminated.
Therefore, option D is the correct choice.
Solve each equation for y 2x+3y=18 plus show work
A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated.
Which expression can be used to determine the probability of the alarm code beginning with a number greater than 7?
A.(2P1)(9P3)/10P4
B.(2C1)(9C3)/10C4
C.(10P1)(9P3)/10P4
D.(10C1)(9C3)/10C4
Answer: A is the right answer. The probability of the alarm code beginning with a number greater than 7 =[tex]\frac{^2P_1\times\ ^9P_3}{^{10}P_4}[/tex].
Step-by-step explanation:
Given:A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated.
there is only 2 numbers which are greater than 7 i.e. 8 and 9. ∴ there is 2 possibility for first place.
For the remaining 3 digits there is 9 possibilities (including 1 which would left after choosing 1 from first place )
No of ways for the alarm code beginning with a number greater than 7=[tex]^2P_1\times\ ^9P_3[/tex]
Total ways of code with 4 digits=[tex]^{10}P_4[/tex]
Therefore the probability of the alarm code beginning with a number greater than 7 =[tex]\frac{^2P_1\times\ ^9P_3}{^{10}P_4}[/tex].
The equation for the cost in dollars of producing computer chips is y =.000015x^2-.03x+35. Where x is the number of chips produced . Find the number of chips that minimizes the cost. What is the cost for that number of chips?
1000 chips minimize the production cost in the given equation, and the minimum cost for producing these chips is $20.
Explanation:To find the number of chips that minimizes the cost in the given quadratic equation, y = 0.000015x^2 - 0.03x + 35, we can use the vertex formula for a parabola, which is derived from the general quadratic equation.
The general form of a quadratic equation is y = ax^2 + bx + c, and the x-coordinate of the vertex, which gives us the number of chips that minimizes the cost, can be found using x = -b/(2a). For our equation, a = 0.000015 and b = -0.03.
Substituting the values of a and b into the vertex formula:
x = -(-0.03)/(2 * 0.000015)x = 0.03/0.00003x = 1000 (number of chips)Now, we plug this value back into the original equation to find the minimum cost:
y = 0.000015(1000)^2 - 0.03(1000) + 35y = 15 - 30 + 35y = $20 (cost for producing 1000 chips)This gives us the minimum cost and the number of chips that lead to this cost. Therefore, 1000 chips minimize the cost, and the minimum cost for producing these chips is $20.
Which comparison is correct. A 1/4 > 1/6. B 1/4 > 1/2. C 1/6 > 1/4. D 1/8 > 1/4. Plz help