Answer:
55
Step-by-step explanation:
Assuming that, initially, there were x people at the time of planning.
As given that, initially, the cost for 1 person = € 20
So, Total cost = € 20x ...(i)
As on the day of the outing, five people cannot come, so the number of people on the outing = x-5.
Now, due to the lesser number of people, i.e (x-5), the cost for 1 person = € 22.
Total cost = € 22(x-5) ...(ii)
As total cost remains the same, so equation the total cost from equations (i) and (ii), we have
[tex]20x= 22(x-5) \\\\\Rightarrow 20x=22x-22\times 5 \\\\\Rightarrow 22x-20x= 110 \\\\\Rightarrow 2x=110 \\\\\Rightarrow x=110/2=55.[/tex]
Hence, at the time of planning, there were 55 people.
PLEASEE I REALLY NEED HELp Plus 30 coins
Brainlist too
For each question, solve for the length of the unknown side, as
denoted by the variable. You may round your answers to the nearest
tenth, if necessary. Make sure you show all steps needed to solve the
problem.
Answers (in order):
I used the Pythagorean Theorem to solve each one:
[tex]h=13[/tex]
[tex]l=9[/tex]
d ≈ 8.0622
l ≈ 6.7082
Hope this helps! :)
can someone help me please !!!!!!
Answer: From top to bottom of the chart: -13, -6, 1, 8, 15
Step-by-step explanation:
You can solve the equation by putting the numbers in the graph (under the letter x) into the equation. Meaning when it says "-2", you can write 7(-2)+1, or 7 times negative 2 minus one, which equals -13. Do the same thing with the rest :]
Find the largest degree of x that can be factored out of all terms
9x and 45
Step-by-step explanation:
x cannot be factored out of these two monomials because x is not present in both of them.
The largest degree of x that can be factored out of all terms 9x and 45 is 0
What are some basic properties of exponentiation?If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
How can we rewrite a constant as a coefficient?Suppose there is a constant 'c'.
We can write it as:
[tex]c = c \times 1 = c \times x^0[/tex]
where 'x' is the variable in consideration. Here even when x = 0, we would assume that for all real numbers 'x', its power raised to 0 makes it evaluate to 1.
For this case, we can rewrite both the terms as:
[tex]9x = 9x\times 1 = 9x \times x^0[/tex][tex]45 = 45 \times 1 = 45 \times x^0[/tex]Thus, the maximum of x that can come out common out of these two terms is [tex]x^0[/tex] (its degree, or power, or exponent is 0)
Thus, the largest degree of x that can be factored out of all terms 9x and 45 is 0
Learn more about exponentiation here:
https://brainly.com/question/26938318
#SPJ2
If f(x) = 7(x - 1) + 8, find the value of f(1)
answer fast.
Answer:
7x+1
Step-by-step explanation:
Use the distributive property to multiply 7 by x−1.
7x−7+8
Add −7 and 8 to get 1.
7x+1
Help as soon as possible plz!
Answer:
a or c
Step-by-step explanation:
Answer:
it would be B
Step-by-step explanation:
because if you look at the x and y axis thats the x axis
a) -0.30103 b) -1.69897 c) 9.69897 d) 0.69897
Answer:
[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30102[/tex]
Thus, option A is true.
Step-by-step explanation:
Given the expression
[tex]log\left(\frac{1}{2}\right)[/tex]
[tex]=\log _{10}\left(2^{-1}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \:x>0[/tex]
[tex]\log _{10}\left(2^{-1}\right)=-1\cdot \log _{10}\left(2\right)[/tex]
so the expression becomes
[tex]=-1\cdot \log _{10}\left(2\right)[/tex]
[tex]\mathrm{Multiply:}\:1\cdot \log _{10}\left(2\right)=\log _{10}\left(2\right)[/tex]
[tex]=-\log _{10}\left(2\right)[/tex]
substituting the value of log 2 = 0.30103
[tex]\:=-0.30102[/tex]
Thus,
[tex]\log \:_{10}\left(\frac{1}{2}\right)=-\log \:_{10}\left(2\right)=-0.30103[/tex]
Therefore, option A is true.
Liliana has $5.60 to spend on tape. The tap cost $0.07 per foot. How many feet of tape can she buy? Which equation matches the scenario explained above?
Answer:
she can buy 70 ft tape
Step-by-step explanation:
5.6 ÷ 0.07
Susie is solving the quadratic
Answer:
Option (D)
Step-by-step explanation:
Standard equation of a quadratic function is,
ax² + bx + c
Comparing this function with the given quadratic function,
f(x) = 2x² - 4x - 3
a = 2, b = -4 and c = -3
By using quadratic formula to get the value of x,
x = [tex]\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
= [tex]\frac{-(-4)\pm \sqrt{(-4)^2-4(2)(-3)} }{2(2)}[/tex]
= [tex]\frac{4\pm\sqrt{16+24}}{4}[/tex]
= [tex]\frac{-4\pm \sqrt{40}}{4}[/tex]
= [tex]\frac{-2\pm \sqrt{10}}{2}[/tex]
Therefore, Susie made a mistake in step IV.
Option (D) is the answer.
Fill in the missing angles (GIVING BRAINLIEST, THANKS, and 15 Points)
Answer:
theres no picture availible
Step-by-step explanation:
Which numbers are 1.3 units away from 18 on the number line?
Answer:
Step-by-step explanation:
is 1.3 units from 0.4 on a number line. __is 1.3 units from 0.4
A certain brand of tea costs $7.99 for 16.2 ounces.
What is the unit rate?
Enter your answer, rounded to the nearest cent, in the box.
$
per ounce
Answer:
49 cents per ounce
Step-by-step explanation:
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92.
You missed a small portion of the question in the end. If I am not mistaken, I am able to find the complete question which you should have added. Anyways, this would help you clear your concept as I would explain the context.
Here is the complete question:
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92.
How many minutes would it take the printer to use all 92 sheets of paper?
Answer:
It would take 11.5 minutes for the printer to use all 92 sheets of paper
Step-by-step explanation:
Given:
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92To determine:
How many minutes would it take the printer to use all 92 sheets of paper?
Given the function
[tex]p(t) = -8t + 92[/tex]
We know that when all the 92 sheets of paper will be printed, there will be no more sheets left to be printed.
Therefore, we need to substitute p(t) = 0 in the given function to determine the value of time in minutes
[tex]0 = -8t + 92[/tex]
[tex]8t = 92[/tex]
Divide both sides by 8
[tex]\frac{8t}{8}=\frac{92}{8}[/tex]
[tex]t=\frac{23}{2}[/tex]
[tex]t = 11.5[/tex] minutes
Therefore, it would take 11.5 minutes for the printer to use all 92 sheets of paperWhat is the relationship between two similar quadrilaterals and their areas?
Quadrilaterals with same length and breadth or height have same areas.
Step-by-step explanation:
You can prove this by drawing two quadrilaterals individually and then by calculating there areas.
A person can pay $26 for a membership to the science museum and then go to the
museum for just $1 per visit. What is the maximum number of visits a member of the
science museum can make for a total cost of $34?
Answer:
8 visits
Step-by-step explanation:
26+8 visits (1 dollar a visit)= 34
Answer:
8
Step-by-step explanation:
In triangle ABC, m angle A = 30° and m angle B = 60°. Matches these in the order from smallest to largest. AB, BC, AC
Answer:
ab, ac, bc
Step-by-step explanation:
a=30, b=60, c=180-(30+60) = 180-90=90
Rewrite the following equation in standard form.
y + 7 = 2(x - 6)
Answer:
(-5)
Step-by-step explanation:
(-5)+7=2(×-6) fahhshzhsuhshzhhsbwysvavaghahahahwhwgwvavvwhhwshahwh
please help meeeeeeeeeee
Number 21 plsss helppppp
Answer:
B
Step-by-step explanation:
First off, we see that x ≥ -2. That little horizontal line right under the > sign indicates that x is "greater than or equal to" -2. Because we want to include -2 in the solution set, the dot on the number line at -2 should be shaded in.
This already eliminates A and D.
Now, we're left to choose between B and C.
Well, we know that x is greater than or equal to -2, so possible values of x should be numbers that are more positive than -2, or that point in the positive direction. That's exactly what B illustrates, so that's our answer.
Can some one tell me where they go? Please and thank you!!
Answer:
The same as the top also thanks for the points and did you get a warning for your last post
Step-by-step explanation:
Simplify the expression.
- 7 + 3 - 14 + 2
Answer:
-4 - 16
Step-by-step explanation:
Answer:
-16
Step-by-step explanation:
you just use a calculator lol :)
6. What is the value of x in the following system of equations?
x + y = -10
y = x - 2
Answer:
X= -4
Step-by-step explanation:
Hello. For to solve that, you need to use the sustitution method:
1. You need clear X in the first equation and put in the second
X+Y = -10
X = -10-Y
2. Y = X-2, then you replaced the X in this equation:
Y = (-10-Y) - 2
Y+2=-10-Y
2Y=-10-2
2Y= -12
Y= -12/2
Y=-6
3. Now you use the Y value for to solve X:
X=-10-Y, then
X =- 10-(-6)
X = -4
The graph of is shown on the grid.
Which ordered pair is in the solution set of ?
Answer:
where's the graph rn ?
Step-by-step explanation:
is this question complete?
Help meeee!will give brainliest!
Answer
(2,0) Brainliest please
Step-by-step explanation:
HELP MEE!!! Make sure to simply please
Answer:
YOUR CAMERA IS BAD I CANT SEE ANYTHING
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
Juanita constructed a number line to test her brother's understanding of opposites. She tested him on all points that were labeled with letters. Her brother had trouble representing the opposite of point A. A number line going from negative 20 to positive 20 in increments of 5. The points are: negative 20, blank, A, B, 0, 5, C, blank, D. Which represents the opposite of Point A? Negative (negative 10) Negative (negative 5) 0 Negative (10)
Answer: Negative (negative 10)
Step-by-step explanation:
Given that:
- 20, blank, A, B, 0, 5, C, blank, D in Increment of 5
-20, - 15, - 10, - 5, 0, 5, 10, 15, 20
The point A on the number line is - 10 ;
The opposite of point A : will be
- (point A) = - (-10)
The opposite of point A should be (10) which is the equivalent point to the right of the number line and can be represented as - (-10)
Answer:
-(-10)
Step-by-step explanation:
the other person is correct
edge 2020/2021
Marlene expects her gross income to be $54,000 this year, and she expects her required deductions to amount to $15,000. Her employer covers 90% of the cost of a $4800-per-year health insurance plan and 80% of the cost of a $900-per-year life insurance plan, with the remainder of the cost coming out of Marlene's pay, and Marlene also expects to contribute 8% of her gross income this year to her 401(k) plan. She wants to calculate how much she will receive for each of her bimonthly paychecks.
Answer:
Marlene will receive $1,417.50 for each of her bimonthly paychecks.
Step-by-step explanation:
This can be calculated using the following 3 steps:
Step 1: Calculation of annual deductions to bear by Marlene
Required deductions = $15,000
Contribution to cost of health insurance plan per-year = $4800 * 10% = $480
Contribution to cost of life insurance plan per-year = $900 * 20% = $180
Contribution to this year's 401(k) plan = $54,000 * 8% = $4,320
Step 2: Calculation of annual paychecks
Annual paychecks = Gross income - Required deductions - Contribution to cost of health insurance plan per-year - Contribution to cost of life insurance plan per-year - Contribution to this year's 401(k) plan = $54,000 - $15,000 - $480 - $180 - $4,320 = $34,020
Step 3: Calculation of bimonthly paychecks
Bimonthly paychecks = Annual paychecks / 24 = $34,020 / 24 = $1,417.50
Therefore, Marlene will receive $1,417.50 for each of her bimonthly paychecks.
You have a bag with 6 green marbles, 15 blue marbles, 8 red marbles, 1 yellow
marble. What is the probability of pulling out a blue marble?
Answer:
1 / 2
Step-by-step explanation:
Total # of marbles in the bag = 30
Total # of blue marbles in the bag = 15
Probability of pulling a blue marble = # of blue / total # of marbles
Probability = 15 / 30
Simplify = 1 / 2
the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p
Answer:
:
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The system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the rates for two duplicating companies. There are two different rates as-
[1] > initial fee of $5 and $0.06 per page.
[2] > initial fee of $10.00 and $0.04 per page.
For the [1] company, we can write the equation as -
C[1] = 5 + 0.06x
For the [2] company, we can write the equation as -
C[2] = 10 + 0.04x
So, the system of equations will be -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
Therefore, the system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
To solve more questions on equation modelling, visit the link below-
brainly.com/question/9144182
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100PTS PLEASE GIVE EXPLANATION
(I really need help please)
2x + 6y= 12
X + 3y= 6
In solving the system of equations shown above, Sean showed the following steps:
Step 1: x = 6 – 3y
Step 2: 2(6-3y) + 6y = 12
Step 3: 12 – 6y + 6y = 12
Step 4: 12 = 12
Sean’s work is correct. However, there are no variables in Sean’s final step. What can he state as the solution of the system?
Answer:
The system has infinitely many solutions
Step-by-step explanation:
There are no variables left. And the final equation is correct.
It means the system is going to be correct for any value of variables. So there are infinitely many solutions
Answer:
Step-by-step explanation:
There are two equations in the question
[tex]2x+6y=12\ -->Equation\ 1\\\\x+3y=6\ -->Equation\ 2\\\\[/tex]
If we take 2 common from the first Equation it becomes,
[tex]2(x+3y)=12\\\\x+3y=12/6\\\\x+3y=6\\[/tex]
Now we can see that both the Equations are similar which means they would have the same graph.
Since both the equations have the same equation of line they have infinitely many solutions which means both the lines intersect at each and every point on the line, since both the lines are on top of each other.
We can also see that in Step 4 where 12 = 12 there are no variables in the equation which also means that the work is correct and Sean can say that the system of equations is consistent and dependent which means they have infinite number of solutions
Tom reads 42 chapters of a book in 6 hours.
What is his rate in chapters per hour?