Un groupe d'amis décide d'organiser une sortie au restaurant. Ils prennent contact avec un restaurateur qui leur propose une formule à 20 € par convive. Le jour de la sortie, cinq personnes ne peuvent venir. Les participants doivent alors payer 22 € par personne. Combien de personnes étaient initialement prévues ?

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! :)

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.

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.

Answer

(2,0) Brainliest please

Step-by-step explanation:

Answer:

she can buy 70 ft tape

Step-by-step explanation:

5.6 ÷ 0.07

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

Answer:

theres no picture availible

Step-by-step explanation:

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:

To 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

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

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

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-

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Answer:

where's the graph rn ?

Step-by-step explanation:

is this question complete?

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:

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

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

Answer:

(-5)

Step-by-step explanation:

(-5)+7=2(×-6) fahhshzhsuhshzhhsbwysvavaghahahahwhwgwvavvwhhwshahwh

Answer:

ab, ac, bc

Step-by-step explanation:

a=30, b=60, c=180-(30+60) = 180-90=90

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

Answer:

YOUR CAMERA IS BAD I CANT SEE ANYTHING

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Answer:

-4 - 16

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

you just use a calculator lol :)

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.

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

Answer:

Step-by-step explanation:

is 1.3 units from 0.4 on a number line. __is 1.3 units from 0.4

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.

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.

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 :]

Answer:

8 visits

Step-by-step explanation:

26+8 visits (1 dollar a visit)= 34

Answer:

8

Step-by-step explanation:

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

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]

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:

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:

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Answer:

49 cents per ounce

Step-by-step explanation: