What is -6(-3+5r)=-5-7r

Answers

Answer 1

Answer:

r = 1

Step-by-step explanation:

Use the distributive property to multiply −6 by −3+5r.

18−30r=−5−7r

Add 7r to both sides.

18−30r+7r=−5

Add −30r and 7r to get −23r.

18−23r=−5

Subtract 18 from both sides.

−23r=−5−18

Subtract 18 from −5 to get −23.

−23r=−23

Divide both sides by −23.

r=−23/−23​

Divide −23 by −23 to get 1.

r=1


Related Questions

Professor Lee Xiao teaches an online class. She is paid $2,409 for up to 25 students,
plus an extra of $136 for every student beyond 25.
Professor Xiao is paid $3,262 for the class. How many students did she have? (Round
to the nearest integer).
acha

Answers

Answer:

25 + 6 = 31

Step-by-step explanation:

Her actual pay is 3262

Her base rate is   2409               Subtract to get the amount over the base

Amount of + 25      853

So how many student more does that amount to?

853 / 136 = 6.27

If you have to round to the nearest integer, the answer is 6.

Determine whether each graph shows a positive correlation, a negative
correlation, or no correlation. If there is a positive or negative correlation,
describe its meaning in the situation.

Answers

Answer:

Positive correlation.

Step-by-step explanation:

From the graph we can see overall increasing trend.

It means there is a positive correlation.

The meaning of this is the more time you spend on study the better test score you get.

Answer:

Negative correlation

Step-by-step explanation:

As TV hours increase, exercise

hours decrease.

The manager of a grocery store in Decatur currently provides special service to people who still use checks to pay for food. They have a separate pay/bag line for people who insist on waiting for a dollar total to pull out their checkbook and start writing. On average, 30 customers per hour arrive at the checking pay/bag line and they can be modeled with a Poisson distribution. The clerk at this line can handle an average rate of 35 customers per hour and their service can be modeled with exponential distribution.

a. 67%.

b. 75%.

c. 33%.

d. 25%.

Utilization Average time a customer spends in the system

rho = λ/μ w = 1/μ - λ = L/λ

Average # of customers in the system Average time a customer spends in the queue

Ls = λ/μ - λ Wq = λ/μ(μ - λ) = Ls/λ

Average # of customers in queue Probability of n units in the syst

Answers

75% I think I don’t know

The correct option is: c. 33%. (The probability of having 36 customers in the system is approximately 0.00183%, which is approximately 0.033%, or 33%).

To find the utilization (ρ) of the clerk at the check/pay line, we can use the formula:

ρ = λ / μ

where:

ρ = Utilization

λ = Arrival rate (rate at which customers arrive at the line)

μ = Service rate (rate at which the clerk can handle customers)

Given in the problem:

Arrival rate (λ) = 30 customers per hour

Service rate (μ) = 35 customers per hour

Now, let's calculate the utilization (ρ):

ρ = 30 / 35 ≈ 0.8571

To convert this to a percentage, we multiply by 100:

ρ ≈ 0.8571 * 100 ≈ 85.71%

Since the utilization represents the percentage of time the clerk is busy, we need to find the percentage of time the clerk is idle (not busy). This can be calculated by subtracting the utilization from 100%:

Idle time = 100% - Utilization

Idle time ≈ 100% - 85.71% ≈ 14.29%

Now, let's find the average time a customer spends in the system (W) using Little's Law:

W = L / λ

where:

W = Average time a customer spends in the system

L = Average number of customers in the system (both in the queue and being served)

λ = Arrival rate (rate at which customers arrive at the line)

Given in the problem:

Arrival rate (λ) = 30 customers per hour

Now, we need to find the average number of customers in the system (L) to calculate the average time.

L = Ls + λ

where:

Ls = Average number of customers in the queue

Ls = λ / (μ - λ)

Given in the problem:

Service rate (μ) = 35 customers per hour

Ls = 30 / (35 - 30) = 30 / 5 = 6 customers

Now, calculate the average number of customers in the system (L):

L = Ls + λ

L = 6 + 30 = 36 customers

Now, calculate the average time a customer spends in the system (W):

W = L / λ

W = 36 / 30 = 1.2 hours per customer

Finally, let's find the probability of having n units in the system (both in the queue and being served). In this case, n would be the number of customers in the system (L):

Probability of having n units in the system = (ρ^n) * (1 - ρ)

Probability of having 36 units in the system (L):

Probability of L customers in the system = (0.8571^36) * (1 - 0.8571) ≈ 0.0000183

The question asks for the percentage, so we multiply by 100 to convert to percentage:

Probability ≈ 0.0000183 * 100 ≈ 0.00183%

Thus, the correct option is: c. 33%. (The probability of having 36 customers in the system is approximately 0.00183%, which is approximately 0.00183% * 18 ≈ 0.033%, or 33%).

To know more about probability, refer here:

https://brainly.com/question/13069268

#SPJ2


88, 89, 86, 90, 83, 81, 89
What is the median number
A 88
B. 89
C 90
D. 86

Please answer this I really need help

Answers

Answer:

The answer is 90.

Step-by-step explanation:

90 is in the middle

Answer:

d

Step-by-step explanation:

cause i said so

a plane flies 5.0km due north from a point O and then 6.0km on a bearing of 060° the pilot then changes course on a bearing of 120° for 4.0km. find how far and in what direction the plane is from the starting point?​

Answers

The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.

A plane that travels a distance [tex]r[/tex], in kilometers, with a bearing of [tex]\theta[/tex] sexagesimal degrees can be represented in standard position by means of the following expression:

[tex]\vec r = r\cdot (\sin\theta, \cos \theta)[/tex] (1)

We can obtain the resulting vector ([tex]\vec R[/tex]) by the principle of superposition:

[tex]\vec R = \Sigma_{i=1}^{n} [r_{i}\cdot (\sin \theta_{i}, \cos \theta_{i})][/tex] (2)

If we know that [tex]r_{1} = 5\,km[/tex], [tex]\theta_{1} = 0^{\circ}[/tex], [tex]r_{2} = 6\,km[/tex], [tex]\theta_{2} = 60^{\circ}[/tex], [tex]r_{3} = 4\,km[/tex] and [tex]\theta_{3} = 120^{\circ}[/tex], then the resulting vector is:

[tex]\vec R = 5\cdot (\sin 0^{\circ}, \cos 0^{\circ}) + 6\cdot (\sin 60^{\circ}, \cos 60^{\circ}) + 4\cdot (\sin 120^{\circ}, \cos 120^{\circ})[/tex]

[tex]\vec R = (5\sqrt{3}, 6) \,[km][/tex]

The magnitude of the resultant is found by Pythagorean theorem:

[tex]\|\vec R\| = \sqrt{R_{x}^{2}+R_{y}^{2}}[/tex]

And the bearing is determined by the following inverse trigonometric relationship:

[tex]\theta_{R} = \tan^{-1} \left(\frac{R_{y}}{R_{x}}\right)[/tex] (3)

If we know that [tex]R_{x} = 5\sqrt{3}\,km[/tex] and [tex]R_{y} = 6\,km[/tex], then the magnitude and the bearing of the resultant is:

[tex]\|\vec R\| = \sqrt{(5\sqrt{3})^{2}+6^{2}}[/tex]

[tex]\|\vec R\| \approx 10.536\,km[/tex]

[tex]\theta_{R} = \tan^{-1} \left(\frac{6}{5\sqrt{3}} \right)[/tex]

[tex]\theta_{R} \approx 34.715^{\circ}[/tex]

The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.

To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/21925479

A pencil at a stationery store costs $1, and a pen costs $1.50. Shawn spent $12 at the store. He bought a total of 9 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought? (5 points)

1.5x + y = 12
x = 9y

x + 1.5y = 12
x + y = 9

x + 9y = 12
x = 1.5y

9x + y = 12
x = 1.5y

Answers

Answer:

9 = x + y

1x + 1.5y = 12

Step-by-step explanation:

9 (number of items) = x (number of pencils) + y (number of pens)

1x (cost of x number of pencils) + 1.5y (cost of y number of pen s)= 12 (total cost)

Sean has three dollars more than twice as much money as Peter if Sean has $10 how much money does Peter have

Answers

Answer:

peter has $3.50

Step-by-step explanation:

3.50 times 2 is 7 plus 3 is 10

WHOEVER EXPLAINS FIRST GETS BRAINLIEST!!


Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve.


-2/5x-9<9/10

Answers

It is 9 7/5 I did this question in school lol

How do I solve this

Answers

Answer:

Step-by-step explanation:

well, I'd just multiply each option out using FOIL

First, Outside, Inside, Last

A) (x + 2√3i)(x - 2√3i)

First                x(x) = x²

Outside          x(- 2√3i) =  - 2x√3i

Inside             x(2√3i)   =    2x√3i

last            (- 2√3i)(2√3i) = -(2²)(√3²)(i²) = -4(3)(-1) = 12

add them all up  x² + 12      looks like it works for me

B) = x² + 36

C) = x² + 4√3 + 12

D) = x² - 12

The square below represents one whole.
What percent is represented by the shaded area?

Answers

40%
——————————————-

Name each polynomial by degree and number of terms .
1) -10x
2) -10r4- 8r2
3) 7
4)9a6 + 3a5 - 4a4 - 3a2 + 9
5)-3n3 + n2 - 10n + 9
6) 7x2 - 9x - 10
7) -4b
8) -9 + 7n3 - n2

Answers

Answer:

Polynomials are classified according to their number of terms. 4x3 +3y + 3x2 has three terms, -12zy has 1 term, and 15 - x2 has two terms. As already mentioned, a polynomial with 1 term is a monomial. A polynomial with two terms is a binomial, and a polynomial with three terms is a trinomial.

6. Expand the brackets: a) 3(x - y) )​

Answers

Answer:

3x-3y

Step-by-step explanation:

3(x-y)

open the brackets:

(3×x)-(3×y)

= 3x-3y

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

Step-by-step explanation:

When it's clear, the easiest way to do the problem is to used the x and y  intercepts.

This question is one of the clear one.

The x intercept is 2,0

The y intercept is 0,1

You want the slope.

m = (y2 - y1)/(x2 - x1)

y2 = 1

y1 = 0

x2 = 0

x1 = 2

m = (1 - 0)/(0 - 2)

m = 1 / -2

m = -1/2

In this case the slope and gradient have the same value --   - 1/2 or - 0.5

Which of the following rules represents the function shown in the table?
f(x)=n+3
f(x)=3n
f(x)=1/3n​

Answers

Answer:

f(x)=3n

Step-by-step explanation:

We can see it goes x=2 to y=6 this has been times by 3, x=-1 to y=-3 also times  by 3 and x=0 y=0 0x3=0

Twice the difference of a number and 4 is equal to three times the sum of the number and 10.

Answers

Answer:

2(x-4)=3(x+10)

Step-by-step explanation:

(−3, −1), (−1, 5) Find the slope of the line that passes through the pair of points.

Answers

[tex]slope = \frac{ 5 - ( - 1)}{ - 1 - ( - 3)} \\ [/tex]

[tex]slope = \frac{5 + 1}{ - 1 + 3} \\ [/tex]

[tex]slope = \frac{6}{2} \\ [/tex]

[tex]slope = 3[/tex]

(07.03 LC)
Identify the factors of x2 - 8x - 20. (1 point)
O (x + 4Nx - 5)
O (x + 5)(x - 4)
O (x - 10)(x + 2)
O (x-2)(x + 10)

Answers

Answer:

(x - 10)(x + 2)

Step-by-step explanation:

We are looking for two things that multiply together to give us

x^2 - 10x - 20

These things are binomials, such as (x+2) or (x-7) or (x+8) or (x-5)

We know the first term in the binomial has to be x, because x times x is x^2.

And then we are looking for two numbers that multiply to -20 but also add up to -8.

-10 and 2 multiply to make -20 and add up to -8 so we pick the answer (x-10)(x+2)

Answer:

Option C

Step-by-step explanation:

x² - 8x - 20

x² - (10x - 2x) - 20

x² - 10x + 2x - 20

x(x - 10) + 2(x - 10)

(x - 10)(x + 2)

Hence

Option C is correct

Solve -2/3x > 8 or -2/3x < 4.

{x | x > -12 or x < -6}
{x | -12 < x < -6}
{x | x < -12 or x > -6}

Answers

Answer: Choice C

{x | x < -12 or x > -6}

=========================================================

Explanation:

Let's solve the first inequality for x.

(-2/3)x > 8

-2x > 8*3

-2x > 24

x < 24/(-2)

x < -12

The inequality sign flips when we divide both sides by a negative value.

Let's do the same for the second inequality.

(-2/3)x < 4

-2x < 4*3

-2x < 12

x > 12/(-2)

x > -6

The conclusion of each section is that x < -12 or x > -6 which points us to choice C as the final answer.

Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.

Jack’s school bag contains 8 books each of weight 3/8 pounds, and 6 folders of weight 1/2 pound. b) What fraction of the total weight is folders?

Answers

Answer:

6 pounds

Step-by-step explanation:

3/8×8/1=24/8=3

6/1×1/2=6/2=3

3+3=6

i need help with this question pls

Answers

Answer:

etra cheese

Step-by-step explanation:

mark me brainleist

Extra cheese , make me brainlest

#3
Determine whether the ratios are equivalent.
5:2 and 30: 12
o equivalent
not equivalent

Answers

Answer:

yes

Step-by-step explanation:

Ratios are equivalent if they are multiples or divisors of each other.

5 : 2 ( multiply both sides by 6 )

= 30 : 12

or

30 : 12 ( divide both sides by 6 )

= 5 : 2

Thus 5 : 2 and 30 : 12 are equivalent ratios

Answer:

equivalent

Step-by-step explanation: 5 x 6 = 30      2 x 6 = 12

Find x round. your answer to the nearest tenth of a degree

Answers

Answer:

x = 55.6

Step-by-step explanation:

Recall the 3 main trig functions

Sin = opposite / hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent

Note that hypotenuse = longest side length

We want to find angle "x".

We are given its opposite side length ( 19 ) as well as the adjacent side length

When dealing with the opposite and adjacent we use tan

Tan = Opp / Adj

Opp = 19 and Adj = 13

Tan(x) = 19/13

* take the inverse tan of both sides *

x = 55.6

HELP PLZ PLZ ITS DUE IN 30 MINUTES

Answers

Answer:

wouldn't that be...24x²?

simplify.
|−6 + (−3)| (−3) + 8 ÷ 2

Answers

Convert
6
3
8
6
3
8
to an improper fraction.
Tap for more steps...
51
8

2
1
4
51
8
-
2
1
4
Convert
2
1
4
2
1
4
to an improper fraction.
Tap for more steps...
51
8

9
4
51
8
-
9
4
To write

9
4
-
9
4
as a fraction with a common denominator, multiply by
2
2
2
2
.
51
8

9
4

2
2
51
8
-
9
4

2
2
Write each expression with a common denominator of
8
8
, by multiplying each by an appropriate factor of
1
1
.
Tap for more steps...
51
8

9

2
8
51
8
-
9

2
8
Combine the numerators over the common denominator.
51

9

2
8
51
-
9

2
8
Simplify the numerator.
Tap for more steps...
33
8
33
8
The result can be shown in multiple forms.
Exact Form:
33
8
33
8
Decimal Form:
4.125
4.125
Mixed Number Form:
4
1
8

If the expression inside the absolute value bars which is -6 .Simplifying the expression |−6 + (−3)| (−3) + 8 ÷ 2 is: 9.

What is the expression?

Let simplify the given expression step by step:

|-6 + (-3)| = |-9| = 9

First calculate the expression inside the absolute value bars which is -6 + (-3) = -9. Then  take the absolute value of -9, which is 9.

(-3) + 8 ÷ 2 = (-3) + 4 = 1

We follow the order of operations (PEMDAS/BODMAS).

First perform the division:

8 ÷ 2 = 4

Add -3 to 4 which gives us 1.

Simplified expression :

9 * 1 = 9

Therefore the expression is 9.

Learn more about expression here:https://brainly.com/question/1859113

#SPJ3

Izzo's Pizza sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what she found.
Type of Crust Number Sold
Thin crust
344
Thick crust
391
Stuffed crust 155
Pan style
185
Based on this information, or the next 3500 pizzas she sells, how many should she expect to be thin crust? Round your answer to the nearest whole number. Do
not round any intermediate calculations.

Answers

Total number of Pizzas sampled = 344+391+155+185 = 1075

No. of Thick crust Pizzas in sample = 391

Proportion of Thick crust Pizzas in sample = 391/1075

Expected number of Thick crust in next 3500 pizzas = 3500*(391/1075)

Expected number of Thick crust in next 3500 pizzas = 1273

Out of 3500, he may expect 1273 pizzas to be thick crust

I NEED HELP PLSSS GEOMETRY

Answers

Answer:

Its the first one (top left option)

Step-by-step explanation:

ur in a rush so i wont explain, pls give me brainliest

graph the relation y=2x

Answers

This is the graph for y= 2x

what is 5y² if y= -1​

Answers

Answer:

5

Step-by-step explanation:

Input all of the numbers and solve:

5×-1×-1

Start by solving -1*-1=1

5*1=5

Answer:

the answer for this question is 5

1. It is a way of comparing two or more quantities having the same units. * 1 point O a. decimal O b. addends . O c. ratio O d. numerals 2. Which of the following fractions is appropriate equivalent fraction of 3/4. 1 point O a. 4/8 O b. 9/12 O c. 10/15 Oc O d. 12/17​

Answers

Answer:

Step-by-step explanation:

Equivalent fractions for 1/4

From this chart, we can observe that the equivalent fractions of 1/4 are: 2/8, 3/12, 4/16,... Two fractions are said to be equivalent if their values (decimal/graphical) are the same. We usually multiply the numerator and denominator of a fraction by the same number to get its equivalent fraction.

Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of $2750.
What was the rate charged per hour by each mechanic if the sum of the two rates was $205 per hour?

-Whats the First mechanic: $ -----per hour

-Whats the Second mechanic: $ ---- per hour ​

Answers

I answer this question before this is the solution just change the total of $2750:

Two mechanics worked on a car, The first mechanic worked for 20 hours and the second mechanic worked for 5 hours together they charged a total of $1150.

Let's make,
mechanic #1's rate = x
mechanic #2's rate = y

* Their rate is dollars per hour ($/hr)

mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1

and mechanic #2 worked for 5 hours
5y = money earned by mech#2

together they charged a total of $1150. So the amount of money earned by both mechanics.

20x + 5y = 1150

the sum of the two rates was $95 per hour.

x + y = 95

which means
x = 95 - y

plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.

20(95 - y) + 5y = 1150

solve for y

1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr

Now use this to solve for x

x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr

mech#1 charged 45$/hr
mech #2 charged 50$/hr
Other Questions
Internet privacy refers to the level of information sharing on the web collected through web cookies, caches, and browsing history true or false What happened in My Name is Parvana Chapter 4? The table shows the numbers of home runs a baseball player0 hit during spring training and during the regular season for four years. How many home runs would the player likely have hit during the regular season with 3 home runs hit during spring training? Spring Training Regular Season 2 8 4 4 5 20 6 24 If each parent has two sets of genes and chromosomes why do their offspring receive only one set from each parent The gas tank of priya pontoon boat can hold 5 gallons it is completely empty Oriya needs a full tank for the days activities she adds 2 1/4 gallons from a gas canister and then takes the boat to a nearby marina to fill it up. She has to pay ahead. Oriya wants the tank as full as possible but does not want to overpay. How many gallons should Oriya ask for? Could somebody please help with this? Its a khan academy problem I have trouble with please please help for brainlist !!!!!!!! Store A sells a set for $25 and offers 10% discount. Store B sells a set for $27 and offers 20% discount. Store C sells a set for $26 and offers a 15% discount. After calculating the discounted prices, place the stores in order from LOWEST to HIGHEST price for a set of paintbrushes. write the number twenty-nine million sixty thousand chromosomes form during what part of the cell cycle? the study of the function of specific organ systems is called Communes instappeared in Dagur France and at the end of thecentury They were actually a town where everyone agreed to take anatoade. Communes were formed because Europe had just fly tumedy the amacks for the Sarbarians and the people needed betterprotection and better legal and economic systems.Communes ten were sort of Restricts or states that were usuallyrespected by the King of that countrySometimes the king would honor it with a charter& Ferent times ving in a commune could mean simply a local selfgovement and at other times I could mean a complete independence fromthe regning authortes. Al of the communes were different but there werefundamental smiandes between them Similarities ke loyalty to your flowcommuners above all else she sharing of common expenses ke the upkeepof fortifications a group of elected ocals who who were the politicalauthority, an authoritative structure that was directed toward keeping thepeace an protecting the community members a communal court wheredisputes were judged, and all economic affairs like taxes and trade beingregulated in the community's best interest Please help me with this question please just help me with what is this is or synthesis singlereplacement combustion decomposition double replacement Circle A was dilated with the origin as the center of dilation to creat circle b supose 10 atoms of carbon (c) recat with 20 atoms of oxegen (o) to from 10 molecules of carbon dioxide (co2). According to the law of conservation of matter, how many atoms are presented in this reaction? How would this question be solved? Help!! And stop with the links!!!!! Why is the world facing an issue with genocide? How can this be prevented? PLEASE HELP ME SOLVE THIS!-2.7f+0.7f-16-6