Answer:
2500 + 215d
Step-by-step explanation:
Total revenue from all booths is the sum of the revenue from the food booths and from the games booths. The food booth revenue for each booth is 100 + 5d, where d is the number of days the fair lasts. There are 15 food booths, so the total revenue from them is ...
... (food booth revenue) = 15(100 +5d)
The games booth revenue for each booth is 50 + 7d, where d is the number of days the fair lasts. There are 20 games booths, so the total revenue from them is ...
... (games booth revenue) = 20(50 +7d)
Then the total revenue is
... total revenue = (food booth revenue) + (games booth revenue)
... = 15(100 +5d) + 20(50 +7d) . . . . . . use the expression for revenue from each
... = 1500 +75d + 1000 +140d . . . . . . eliminate parentheses
... = 2500 + 215d . . . . . . . . . . . . . . . . collect terms
Susanna spends a total 0f 47 minutes on her project. How many more minutes than Susanna does Abby spend working? Draw a number line to model the problem, and write an equation to solve.
a - 47 = more time spent
In this mathematical problem, Abby's time is represented as x and the difference in time between Abby's and Susanna's work can be modeled by the equation x-47=y, where y is the extra time Abby spends. A number line can be used to visualize this problem, but without knowing Abby's time, we cannot determine y.
Explanation:The subject of this problem is mathematics and it discusses time spent by two individuals on their project. We know that Susanna spends 47 minutes on her project. However, we do not know how much time Abby spends on her project. We could represent the time Abby spends on her project as x.
To visualize the situation, we can draw a number line. Place a point at 47 which represents Susanna's time. Then place another point at x which represents Abby's time.
The difference in time between Susanna and Abby can be represented by the equation x - 47 = y, where y is the number of extra minutes Abby spends working on her project.
Without any additional information on how much time Abby spent on her work, it's impossible to give a specific answer.
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Ella owns 15% of Fitz Incorporated. The rest of the shares are owned equally by the remaining 5 shareholders. What percent of the corporation does each of the other shareholders own?
Answer:
17%
Step-by-step explanation:
The total corporation shares is 100%If Ella owns 15% of Fitz,the remaining shares is 100-15=85%If there are 5 shareholders and they all own equal shares,the percentage for each shareholder will be;85/5=17% eachFinal answer:
Ella owns 15% of Fitz Incorporated, and the remaining 85% is shared equally among 5 other shareholders. Thus, each of these shareholders owns an equal share of 17% of the corporation.
Explanation:
The question asks about corporate stock and how it relates to the percentage of ownership in a corporation. Ella owns 15% of Fitz Incorporated, and the remaining 85% is owned equally by 5 other shareholders. To find the percentage each of these shareholders owns, we divide the remaining percentage by the number of shareholders.
The calculation would be:
Subtract the percentage owned by Ella from the total, which is 100% - 15% = 85%.
Divide this remaining percentage (85%) by the number of other shareholders, which is 5.
85% / 5 = 17% ownership for each of the other shareholders.
So, each of the remaining 5 shareholders owns 17% of the corporation.
Johnny makes $8.25 an hour working at the local restaurant. His paycheck shows that he works 29.5 hours over the past week. How much money did Johnny make? (Not rounded to the nearest cent)
To do this you can do (pay) x (hours) to work out how much Johnny makes for example:
8.25 x 29.5 = 243.375$ so the answer is 243.375$
Answer:
The correct answer is B) $243.397
Step-by-step explanation:
Kenya solved the equation below. -6
(x-2)+3x=-3(x+3)+21 What is the solution to Kenya’s equation? –4 12 no solution infinitely many solutions
Answer:
Kenya’s equation has infinitely many solutions
Step-by-step explanation:
we have
[tex]-6(x-2)+3x=-3(x+3)+21[/tex]
Solve for x
Eliminate the parenthesis
[tex]-6x+12+3x=-3x-9+21[/tex]
Group terms that contain the same variable
[tex]-6x+3x+3x=-9+21-12[/tex]
Combine like terms
[tex]0=0[/tex] ---> is true for any value of x
therefore
Kenya’s equation has infinitely many solutions
Answer:
D
Step-by-step explanation:
Is the following sequence arithmetic? If so, identify the common difference.
-0.3, 0.1, 0.5, 0.9, …
A) Yes; -0.2
B) No
C) Yes; -0.4
D) Yes; 0.4
Answer:
Option D
Yes 0.4
Step-by-step explanation:
A sequence is said to be arithmetic if there is a pattern as
nth term is got by adding d to n-1th term.
d = common difference
The sequence will look like
a, a+d,a+2d, a+3d,......
where I term= a and each time d is added to get the next term.
Our given sequence is
-0.3, 0.1, 0.5, 0.9, …
Let us find difference between Ii and I term
=0.1-(-0.3) = 0.4
Similarly iii term - ii term
=0.5-0.1 =0.4
and iv term - iii term = 0.9-0.5 = 0.4
Hence confirmed that this is an arithmetic sequence with I term =-0.3 and common difference = 0.4
You are playing a game. You start at 0 then you score -8 points on each 4 turns what is your score after those 4 turns
I need 38, 39, 40, 43, and 44. Please answer any of them
38. X>2 and X<1 will give you the answer X3 because X>2+X<1= X3
39. X>2 or X>3 will give you the answer X6 because X>2x X>3=X6
40. your answer would be x=4
Linda goes to a spinning class at the health and fitness club there are five classes a week in the table above shows the number of people in each class last week what is the mean number of people in each class mon 13 Tue 23 wed24 thor 31 fri14
The mean number of people in each spinning class last week is calculated by summing up the total number of attendees and dividing by the number of classes. The mean attendance for last week was 21.
Explanation:To calculate the mean number of people attending the spinning class each day, you would add up the total number of people for the week and then divide by the number of classes.
The given numbers are:
Mon: 13 Tue: 23 Wed: 24 Thu: 31 Fri: 14
So the sum of the attendees is: 13 + 23 + 24 + 31 + 14 = 105
The mean is then calculated by dividing the total by the number of days, which is 5 in this case:
Mean = Total ÷ Number of Days = 105 ÷ 5 = 21
So, the mean number of people in each class last week was 21.
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HELP PLZ SHOW WHORK THXS YALL ^_^ luv yall
Answer:
Tony pays $6.75 for his item, & Tanya pays $9 for her items
Step-by-step explanation:
Let Tanya's item be x, and Tony's be y. Set the system of equality:
3x = 4y
y = x - 2.25
Plug in x - 2.25 for y in the first equation
3x = 4(x - 2.25)
Distribute 4 to all terms within the parenthesis
3x = 4x - 9
Isolate the x. Subtract 4x from both sides
3x (-4x) = 4x (-4x) - 9
3x - 4x = -9
-x = -9
Isolate the x. Divide -1 from both sides
(-x)/-1 = (-9)/-1
x = 9
-------------------------------------------------------------------------------------------------------------------
Plug in 9 for x in the equation
y = x - 2.25
y = (9) - 2.25
y = 6.75
--------------------------------------------------------------------------------------------------------------------
Tony pays $6.75 for his item, & Tanya pays $9 for her items
--------------------------------------------------------------------------------------------------------------------
~Rise Above the Ordinary
Which of these is not an integer?
6/3
3/6
6/2
Answer:
3/6is not a integer.
Step-by-step explanation:
6/3 integer
6/2 integer
3/6 not a integer
Final answer:
The fraction 3/6 is not an integer because it equals 0.5, which is a fraction and not a whole number.
Explanation:
To determine which of these values is not an integer, we need to perform the division for each fraction:
6/3 = 2, which is an integer3/6 = 0.5, which is not an integer; it is a fraction6/2 = 3, which is an integerTherefore, 3/6 is not an integer because when you divide 3 by 6, you get a fractional number rather than a whole number.
a random selection of plants receiving two different types of treatments
Witch expression is equivalent to g-^m ➗ g^n?
A. g-^m + ^n
B. g-^m • n
C. g-^m -^n
D.g-^m ➗ ^n
Answer,
C.g-^m -^n
Hope this helps :-)
The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown upward.
Which statements are true? Check all that apply.
The ball is at the same height as the building between 8 and 10 seconds after it is thrown.The height of the ball decreases and then increases.The ball reaches its maximum height about 4 seconds after it is thrownThe ball hits the ground between 8 and 10 seconds after it is thrown.The height of the building is 81.6 meters.
* First is correct - the height crosses the 0 point between 8 and 10 secs
* Third is correct - 81.6 m is max at 4 secs
all others incorrect
Examine each number. What number can you add to this number to make a number that has a whole-number square root?
a) 42 c) 470
b) 101 d) 1000
9514 1404 393
Answer:
a) 7
b) 20
c) 14
d) 24
Step-by-step explanation:
The desired number is found by subtracting the given number from the square of the integer just higher than the root of the given number.
a) √42 ≈ 6.5, so the desired number is 7² -42 = 49 -42 = 7
__
b) √101 ≈ 10.05, so the desired number is 11² -101 = 121 -101 = 20
__
c) √470 ≈ 21.7, so the desired number is 22² -470 = 484 -470 = 14
__
d) √1000 ≈ 31.6, so the desired number is 32² -1000 = 1024 -1000 = 24
can someone please help these are due tomorrow and i don’t understand them!!!! 1-12 please?
ANSWER TO QUESTION 1
[tex]w(34)=0[/tex]
We multiply both sides by the multiplicative inverse of 34
[tex]w(34)\times \frac{1}{34} =0 \times \frac{1}{34}[/tex]
We apply the multiplicative property of zero to obtain,
[tex]w =0 [/tex]
ANSWER TO QUESTION 2
The dot means multiplication
[tex]7\times x=7[/tex]
By multiplicative inverse property,
[tex]\frac{1}{7}\times7x=\frac{1}{7} \times7[/tex]
[tex]1 \times x=1[/tex]
By the multiplicative identity property,
[tex]x=1[/tex]
ANSWER TO QUESTION 3
[tex]0+r=15[/tex]
By the additive identity property
[tex]r=15[/tex]
ANSWER TO QUESTION 4
[tex]9(0)=a[/tex]
By the multiplicative property of zero
[tex]0)=a[/tex]
or
[tex]a=0[/tex]
ANSWER TO QUESTIONS NUMBER
5. Multiplicative property of zero
Reason: According to this property if you multiply any number by zero, the result is zero.
That is why
[tex](0)3=0[/tex]
6. Multiplicative identity property
Reason: According to this property if we multiply any number by 1 the result is the same number. That is why
[tex]10\times 1=10[/tex]
7. Multiplicative identity property
Reason: According to this property if we multiply any number by 1 the result is the same number. That is why
[tex](1)\times 52=52[/tex]
8. Reflexive property of equality
According to this property for any number [tex]a[/tex],
[tex]a=a[/tex]
That is why
[tex]12+5=12+5[/tex]
9.Additive identity Property
According to this property, if we add any number to zero, the result is the same number. That is why
[tex]17+0=17[/tex]
10. Symmetric Property of Equality
According to this property, if [tex]a=b[/tex] then [tex]b=a[/tex]. That is why,
if [tex]6+7=13[/tex] then [tex]13=6+7[/tex]
11. Substitution Property of Equality
According to this property,
If if [tex]a=b[/tex] then we can substitute a and for b in any expression that is why,
[tex](60-20)-10=40-10[/tex] because [tex]40=60-20[/tex]
12. The Transitive Property of Equality
According to this property is ,if [tex]a=b[/tex] and [tex]b=c[/tex]
then [tex]a=c[/tex]. That is why,
If [tex]2^3=8[/tex] and [tex]8=10-2[/tex]
then [tex]2^3=10-2[/tex]
Answer:
1. w = 0
2. x = 1
3. r = 15
4. a = 0
5. Multiplicative identity of zero
6. Multiplicative identity of 1
7. Multiplicative identity of 1
8. Reflexive property of equality
9. Additive identity property of 0
10. Symmetric property of equality
11. Substitution property of equality
12. Transitive property of equality
Step-by-step explanation:
1. [tex]w (34) = 0[/tex]
w = 0 / 34
w = 0 (since anything divided by 0 is 0)
2. [tex]7[/tex] · [tex]x = 7[/tex]
7x = 7
x = 7 / 7
x = 1
3. [tex]0 + r = 15[/tex]
r = 15 - 0
r = 15
4. [tex]9 (0) = a[/tex]
Anything multiplied with 0 becomes 0 so
0 = a
a = 0
5. [tex](0) 3 = 0[/tex] ---> Multiplicative identity of 0
Any number multiplied by 0 becomes 0.
6. [tex]10[/tex] · [tex]1 = 10[/tex] ---> Multiplicative identity of 1
Any number multiplied by 1 remains unchanged.
7. [tex]1 (52) = 52[/tex] ---> Multiplicative identity of 1
Any number multiplied by 1 remains unchanged.
8. [tex]12 + 5 = 12 + 5[/tex] ---> Reflexive property of equality
The values are equal to itself.
9. [tex]17 + 0 = 17[/tex] ---> Additive identity property of 0
Sum of 0 and any number is the original number.
10. If [tex]6 + 7 = 13[/tex], then [tex]13 = 6 + 7[/tex] ---> Symmetric property of equality
If a = b then b = a.
11. [tex](60 - 20) - 10 = 40 - 10[/tex] ---> Substitution property of equality
If x = y then x can be substituted in for y in any equation and vice versa.
12. If [tex]2^{3} = 8[/tex] and [tex]8 = 10 - 2[/tex], then [tex]2^{3} = 10 - 2[/tex] ---> Transitive property of equality
If a =b and b = c, then a = c.
Evaluate the expression for the given values of the variables.
4a+7b+3a-2b+2a ;
a=-5 & b=3
a) 17
b) -5
c) -20
d) -30
The answer is D or -30
The value of the expression for the given values of the variables is -30.
The given expression is 4a+7b+3a-2b+2a, the values of the variables a=-5 and b=3.
We need to evaluate the expression for the given values of the variables.
How to find the value of the expression?To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
Now, put a=-5 and b=3 in the given expression and simplify.
That is, 4a+7b+3a-2b+2a=4(-5)+7(3)+3(-5)-2(3)+2(-5)
=-20+21-15-6-10
=-30
Therefore, the value of the expression for the given values of the variables is -30.
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what is the simplified form of
[tex] \sqrt[7]{x ^{5} } \times \sqrt[7]{ {x}^{5} } [/tex]
A.
[tex] \sqrt{x} [/tex]
B.
[tex] x\frac{4}{9} [/tex]
C.
[tex]x[/tex]
D.
[tex]x \sqrt[7]{ {x}^{3} } [/tex]
To simplify the expression √7{x 5} × √7{x 5}, you can multiply the radicands together and simplify the result.
Explanation:To simplify the expression √7{x 5} × √7{x 5}
We can use the properties of radicals to simplify the expression. When multiplying radicals with the same index, we can simplify by multiplying the radicands together. In this case, the radicands are both x5, so the simplified form will be:
√7{x 5} × √7{x 5} = √7{x 5 × x 5} = √7{x10}
Therefore, the simplified form of the expression is √7{x10}.
Reggie Lost 4 spaceships in level 3 of a video game he lost 50 points for each spaceship when he completed level 3 he earned a bonus of 550 points by how much to his score change?
Reggie's score changed by 350 points.
Explanation:Reggie lost 4 spaceships in level 3 of a video game, and he lost 50 points for each spaceship. So, the total points lost would be 4 multiplied by 50, which is 200 points. However, when Reggie completed level 3, he earned a bonus of 550 points. To find out how much his score changed, we need to consider both the points lost and the bonus earned.
Points lost: 4 spaceships x 50 points/spaceship = 200 points
Bonus earned: 550 points
Score change: Bonus earned - Points lost = 550 points - 200 points = 350 points
Therefore, Reggie's score changed by 350 points.
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two times the sum of v and w is equal to two times z. translate into equation
the equation will be: 2(v+w)=2z
What is 0.96 rounded to the nearest tenth
Your answer would be 1. Hope this helps :)
0.96 rounded to the nearest tenth is:
1
Because 6 is greater than 4. The number has to be greater than 4 for it to be rounded up, but if it's not, then the number only gets rid of the number behind the tenth.
Hope this helped! :D
help plssssssssss! pls
I don’t understand this. In class we have been doing these problems with only one transversal, not two.
Answer: Yes it is possible. Angle DCF is also 50 degrees
=================================================
Check out the image attachment below. On that image, I've marked that angle EBA is congruent to angle BAC by the alternate interior angle theorem. Those angles are shown in red. Furthermore, angle BAC is congruent to DCF (corresponding angles) using a green marker. Finally, using the transitive theorem, you can connect the statements in a chain to say that angle EBA is congruent to angle DCF, which is why angle DCF is 50 degrees as well.
What is the product of -0.2 -6.8
The product of -0.2 -6.8 = -7 Hope this Helps :)
The function p(x)=8x-10 shows the profit, in dollars, for selling x books.
p(10) is the profit, in dollars, from selling 10 books. Replace every copy of x with 10 and simplify
p(x) = 8x-10
p(10) = 8*10-10 .... every x is replaced with 10
p(10) = 80-10
p(10) = 70
So the profit is $70
For the function p(x) = 8x - 10, the profit for selling 20 books is $150.
Explanation:
In the problem, the function p(x) = 8x - 10 represents the profit, in dollars, for selling 'x' books. When it's stated that p(20) = 150, it means that by substituting the value of 'x' as 20 in the function, we get the value as 150. In terms of the problem, it means that the profit for selling 20 books is $150.
Let's break down the problem step by step.
1. You're given the function p(x) = 8x - 10, which represents the profit, in dollars, for selling x books. In this equation, p(x) is the profit, and \(x\) is the number of books sold.
2. You're asked to evaluate the function at x = 20, which means you want to find p(20). To do this, substitute x = 20 into the function and calculate the result.
p(20) = 8(20) - 10
3. Perform the calculation:
p(20) = 160 - 10
4. Complete the subtraction:
p(20) = 150
So, p(20) = 150, which means that the profit for selling 20 books is $150. This is the interpretation of the statement "p(20) = 150" in terms of the problem.
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The probable question can be: The function p(x) = 8x - 10 shows the profit, in dollars, for selling x books.
p(10) = 70
p(20) = 150
What does p(20) = 150 mean in terms of the problem?
It costs $150 to make 20 books.
It costs $20 to make 150 books.
The profit for selling 150 books is $20.
The profit for selling 20 books is $150.
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-12-a=6y+12
solve the equation
Answer:
a = -1Step-by-step explanation:
[tex]-12-a=4a-7\qquad|\text{add 12 to both sides}\\\\-a=4a+5\qquad|\text{subtract 4a from both sides}\\\\-5a=5\qquad|\text{divide both sides by -5}\\\\\boxed{a=-1}[/tex]
PLEASE ANSWER
A map has a scale of 1/3 inch to 2 miles. The shortest distance between 2 cities on the map measures 7 inches. If d represents the shortest distance between the 2 cities, what is d?
A) 14 mi
B) 21 mi
C) 36 mi
D) 42 mi
1/3 = 7
------ ---------
2 miles ? miles
using cross products
1/3 * ? = 2 * 7
1/3 ? =14
? = 42 miles
Answer:
42
Step-by-step explanation:
What is 2 1/6 - 3 4/9?
Nathan stated that any number (except 0) raised to the zeroth power is equal to 1. Is Nathan correct or incorrect? If Nathan is correct, create an example to back him up. You will need to explain your example thoroughly so that another student would be able to understand your reasoning. If Nathan is incorrect, create an example that shows his error in thinking. You will need to explain your example thoroughly so that another student would be able to understand your reasoning.
Nathan is incorrect. Any number times 0 is equal to 0!
-Abha
For every $50.00, Michael earns, he saves $5.. for the future. what is the constant of proportionality (k)?
Constant of proportionality is given by: y=kx oy [tex]k=\frac{y}{x}[/tex]
So lets suppose y = 50 and x = 5 so k will be [tex]\frac{50}{5}=10[/tex]
This 10 will remain constant. For every $50 Michael saves $5, for $100 he will save $10 , for $150 he will save $15 and so on.
So this 'k' will be same for each value of x and y.
what is Fraction equation that equals 10
Hey there,
Here is your answer:
10/1 = 10