Describe and correct the errors in solving the absolute value inequality
х
5x + 4/> 13
x+4 -13 and x + 4 <13
x>-17 and
X<9
-17
22
There is an arithmetic error in both rewritten inequalities. The correct solution is -9<< < 17
The inequality symbols should be reversed. The correct solution is 9 > I > -17
The two inequalities should be written as one inequality -13 < 3+4 < 13. The correct solution is -17 <3 <9.
The compound inequalities should be joined by "or;" and both inequality symbols should be reversed. The correct solution is
< 17 ore 9.
Answer:
Step-by-step explanation:
Given the inequality [tex]|x+4|>13[/tex], to solve, we will solve the negative and positive value of the modulus for x as shown:
If the modulus is positive:
[tex]x+4>13\\[/tex]
subtract 4 from both sides
[tex]x+4-4>13-4\\x>9[/tex]
If the modulus is negative
[tex]-(x+4)>13\\-x-4>13\\[/tex]
Add 4 to both sides
[tex]-x-4+4>13+4\\-x>17[/tex]
Multiply both sides by -1
[tex]-(-x)<-17\\x<-17\\-17>x[/tex]
Combine both inequalities. If:
[tex]x>9\\[/tex]
Combining with [tex]-17>x[/tex] will give:
[tex]-17>x>9[/tex]
When a coordinate grid is superimposed on a map of lanesville the middle school is located at (15,13) and the librart is located at (27,9). If each unit represents 1 mile how many miles apart are the middle school in the liebrary round your answer to the nearest 10th
Answer:
4.5 miles
Step-by-step explanation:
Given
[tex]Middle\ School = (15,13)[/tex]
[tex]Library = (27,9)[/tex]
To solve this, we simply solve for the distance (D) between both points.
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Where:
[tex](x_1,y_1) = (15,13)[/tex]
[tex](x_2,y_2) = (27,9)[/tex]
[tex]D = \sqrt{(27 - 25)^2 + (9 - 13)^2}[/tex]
[tex]D = \sqrt{(2)^2 + (-4)^2}[/tex]
[tex]D = \sqrt{4 + 16}[/tex]
[tex]D = \sqrt{20}[/tex]
[tex]D=4.472135955[/tex]
[tex]D=4.5[/tex] --- approximated
Since each unit is 1 mile. The distance is 4.5 miles
20. The temperature of a city during a week was 1° C, -6°C, 14°C, -9°C,
-15°C, 8°C and -7°C. What was the average daily temperature of the town
for the week?
The average temperature would be -2°Celsius
You just add up all the numbers, and the average of the numbers is the sum of all the numbers divided by the amount of numbers.
1+-6+14+-9+-15+8+-7=-14
-14/7=-2
Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 4 minutes. When taking off, the run time of an airplane on the runway is 24 seconds. Planes are on average waiting 5 minutes and 54 seconds for take-off. On average there are 12 planes taking off per hour. How many planes are either on the runway or waiting to take off?
Answer:
1 plane either on the runway or waiting to take off
Step-by-step explanation:
We are given;
Frequency of take off = 12 planes per hour = 12/60 = 0.2 planes per minute
Waiting time on runway = 5 minutes 54 seconds = 5.9 minutes
Run time on runway = 24 seconds = 24/60 minutes = 0.4 minutes
To solve this question, we will use Little's law which is given by the formula;
System inventory = rate of flow × throughput time
Now, rate of flow is the same as Frequency of take off.
Thus, rate of flow = 0.2 planes per minute
Throughput time = Waiting time on runway + Run time on runway
Thus;
Throughput time = 5.9 minutes + 0.4 minutes
Throughput time = 6.3 minutes
Thus;
System inventory = 0.2 × 6.3 = 1.26 planes
Thus is approximately 1 plane.
Reasoning: Kiera and Javier are grouping equations based
on the number of operations needed to solve them. In
order to solve the equation -4(-9 + x) = 57, Kiera
says that you need three operations. Javier says you
need two operations. Their teacher says that they are
both correct. Which operations do you need to use to
solve the equation in three operations? Use a pencil
and paper. Explain how you can use two operations to
solve the equation. Which method do you prefer?
Why?
Answer:
Step-by-step explanation:
Given the -4(-9 + x) = 57, to solve this equation, follow the following steps:
Expend the parentheses at the left hand side using the distributive law.
-4(-9)+(-4x) = 57
Open the bracket by multiplying
+36-4x= 57
Subtract 36 from both sides
36-4x-36 = 57-36
-4x = 21
Divide both sides by -4
-4x/-4 = 21/-4
x = -21/4
From the calculation, we can see that we used 3 operations (multiplication, subtraction and division operations)
The most preferred is multiplication operation because the operation helps to simplify the parentheses using the distributive law in step 1.
13 and 5/8 plus 7/8 please answer quickly
13 5/8 + 7/8 = 14 1/2
5/8 + 7/8 = 1 4/8 = 1 1/2
1 1/2 + 13 = 14 1/2
Solve for x.
9x+4≤58 or 16x−2>3
x 30
x 30
Answer:
x ≤ 6
Step-by-step explanation:
Hope this helps!
Es un juego de futbol de salon se vendieron 12000 boletos. El precio de los boletos es de $25.00 en la seccion numerada y $15.00 en la general. Si el ingreso total que se obtuvo fue de $220.000.00 ¿cuantos boletos se vendieron de la seccion numerada?
Answer:
La cantidad de boletos vendidos en la sección numerada = x = 4000 boletos
El número de entradas vendidas en la sección general = y = 8000 boletos
Step-by-step explanation:
Deje que el número de boletos vendidos en la sección numerada = x
Sea el número de boletos vendidos en la sección general = y
Es un partido de fútbol sala se vendieron 12.000 entradas.
x + y = 12000.… ..... Ecuación 1
x = 12000 - y
El precio de las entradas es de $ 25.00 en la sección numerada y $ 15.00 en la general. Si el ingreso total obtenido fue de $ 220,000.00,
$ 25 × x + $ 15 × y = $ 220 000
25x + 15y = 220.000 ..... Ecuación 2
Sustituya x por 12000 - y en la ecuación 2
25 (12 000 - años) + 15 años = 220 000
300000 - 25 años + 15 años = 220 000
300000 - 220000 = 25 años - 15 años
80000 = 10 años
y = 80000/10
y = 8000 boletos
x = 12000 - y
x = 12000 - 8000
x = 4000 boletos
La cantidad de boletos vendidos en la sección numerada = x = 4000 boletos
El número de entradas vendidas en la sección general = y = 8000 boletos
Responder:
8000
Explicación paso a paso:
Dado que las entradas:
Sección numerada = $ 25
Sección general = $ 15
Ingreso tital = 220.000
Número de entradas vendidas = 12000
Deje el boleto vendido de la sección numerada = n
Número vendido de la sección General = g
n + g = 12000
25n + 15g = 220.000
n = 12000 - g
25 (12000 g) + 15 g = 220000
300.000 - 25g + 15g = 220000
-10g = 220000 - 300000
-10g = - 80000
g = 8000
n = 12000 - g
n = 12000 - 8000
n = 4000
Entradas vendidas de la sección General = 8000
Apolline is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus a constant fee for each hour of work. Her fee for a 555-hour job, for instance, is \$42$42dollar sign, 42. Her fee for a 333-hour job is \$28$28dollar sign, 28.
Answer:
Base Fee = $7
Extra charges = $7
Step-by-step explanation:
Represent the base charge with x and the additiional charges with y.
For the 5 hours job, we have:
[tex]42 = x + 5y[/tex]
For the 3 hour job
[tex]28 = x + 3y[/tex]
Solving for x and y;
[tex]42 = x + 5y[/tex]
[tex]28 = x + 3y[/tex]
Subtract the second equation from the first
[tex]42 - 28 = x - x + 5y - 3y[/tex]
[tex]14 = 2y[/tex]
Solve for y
[tex]y = 14/2[/tex]
[tex]y = 7[/tex]
Substitute 7 for y n the first equation
[tex]42 = x + 5y[/tex]
[tex]42 = x + 5 * 7[/tex]
[tex]42 = x + 35[/tex]
[tex]x = 42 - 35[/tex]
[tex]x = 7[/tex]
Answer:
Two points that are not intercepts
Step-by-step explanation:
Khan said :)
Is this relation a function? LES
7
я
12
15
Yes
ОО
No
Answer:
yes
Step-by-step explanation:
Solve the inequality 5:0 -6 < 2 + (30 — 4).
Pls help
Answer:
x≤2
Step-by-step explanation:
The answer to 5x-6≤2+(3x-4)
Happy Halloween!
Please help meeeeeee thank you too whoever does
What is the sum of zeros in this equation (m-10)(8m-1)=0? Enter your ancwer as a fraction. PLSSS I RLLYYY NEEDD HELPP
Answer:
m= 1/8, 10
Step-by-step explanation:
(8m − 1)(m − 10) = 0
↓
8m−1=0 → (8m/8)=(1/8) → m=(1/8)
m−10=0 → m=10
m=1/8
m=10
Help please i’m so confused
Answer:
dis is easy c :D
Step-by-step explanation:
please he me as soon as possible. this is due by today.
Pablo mixes 6 units white paint and 1 unit black paint to make gray paint. What two equations show the relationship between units of white paint, w, and units of black paint, b?
Answer:i need the answer
Step-by-step explanation:
Please
what does x equal to
Answer:
i got 16.25=2
Step-by-step explanation:
Answer:
X = - 12.8
Step-by-step explanation:
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent
decrease from the regular price to the sale price of the scooter?
Answer:
20%
Step-by-step explanation:
First we find the actual dollar amount of the discount.
$65.50 - $52.40 = $13.10
Now we need to find what percent of $65.50 is $13.10.
To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.
percent = part/whole * 100%
percent = $13.10/$65.50 * 100% = 20%
Answer: 20%
Answer:
20%
Step-by-step explanation:
Nate sees toys at the toy store. He sees more than 200 toys, but fewer than 300. How many toys could Nate see? Draw to show the number. Write the number in different ways.
Answer:
250?
Step-by-step explanation:
I Don't Know If It's 250 because 250 Is Half Of 200, And Half Less Of 300, So I Guess It's 250? I Think I'm Wrong!
11more than the product of 9 and a
Answer:
The answer is 20
Step-by-step explanation:
11 + 9 = 20
11 plus 9 equals 20
In about months, the populations of the two towns will be equal.
Help needed ASAP will give brainliest and 5 STARS RATE
Answer:
The correct choice is D.
A sandwich costs $5.45 and a soda costs $2.15. How much change will you get from a $10 bill? Hi
Answer:
$2.40
Step-by-step explanation:
5.45 + 2.15 = 7.60
10 - 7.60 = $2.40
Answer:
You will get 2.6.
Step-by-step explanation:
add the 5.45 and 2.15 which will give you 7.6 then subtract that by 10.00.
What’s a good estimate for the positive square root of 225.
Answer:
15
Step-by-step explanation:
Javier bought a microwave for $105. The cost was 30% off the original price. What was the price of the microwave before the sale.
Answer:
I believe it is about $150
The location P(t) of an object moving in the xy-plane at time t seconds is given by the equations P(t)=(x(t),y(t)), where x(t)=a +3t and y(t)=b +8t, a,b are constants and distances are measured in units of meters. The equations x(t), y(t) describe linear parametrized motion; see section 10.1 of the textbook for review.
(h) The line along which the object is moving in the plane has the equation: y=___x+___.
(i) Let d(t) be the distance the object has traveled after t seconds. The formula for d(t) is:
(j) The instantaneous rate of change of d(t) at time t is:
Answer:
(h) y = -8/3·x + 16·a/3
(i) dt = √(x² + y²) = √( (a + 3·t)² + (b + 8·t)²)
(j) [tex]\dfrac{d(t)}{dt} = \dfrac{3\cdot a +8\cdot b+ 73 \cdot t}{\sqrt{a^2 + 6\cdot a \cdot t + b^2+16 \cdot b \cdot t + 73\cdot t} }[/tex]
Step-by-step explanation:
(h) The location of the object = P(t) = (x(t), y(t))
Where;
x(t) = a + 3·t
y(t) = b + 8·t
Therefore we have;
At x = 0, t = -a/3. at y = 0, b = -8·t = -8·a/3
y = -8·a/3 + 8·t = -8/3(a - 3·t) = -8/3(x - 2·a) = -8/3·x + 16·a/3
y = -8/3·x + 16·a/3
(i) dt = √(x² + y²) = √( (a + 3·t)² + (b + 8·t)²)
(j) The instantaneous rate of change of d(t), with a corresponding change in time, t, obtained by solving through an online platform, is given as follows;
[tex]\dfrac{d(t)}{dt} = \dfrac{d}{dt} \left (\sqrt{\left (a + 3\cdot t \right)^2 + \left (b + 8\cdot t \right)^2} \right ) = \dfrac{3\cdot a +8\cdot b+ 73 \cdot t}{\sqrt{a^2 + 6\cdot a \cdot t + b^2+16 \cdot b \cdot t + 73\cdot t} }[/tex].
Suppose it was –5 degrees Celsius at 6:00 a.m. By noon, the temperature had Increased by 11 degrees. What was the temperature at noon?
Answer:
6
Step-by-step explanation:
11 - -5 = 6
The temperature at noon is 6 degrees Celsius.
GivenSuppose it was -5 degrees Celsius at 6:00 a.m.
By noon, the temperature had increased by 11 degrees.
What is temperature?Temperature declines as altitude increases.
The temperature at noon is calculated by adding the morning temperature and temperature in the afternoon.
The temperature in noon = temperature at 6;00 a.m. + increase in temperature in afternoon.
The temperature in noon = -5 + 11
The temperature in noon = 6 degrees.
Hence, the temperature at noon is 6 degrees Celsius.
To know more about Temperature click the link given below.
https://brainly.com/question/22618350
The expression -16t ^2+ 48t can be written as the product of -16t with which of the following?
(1) 16t-3
(3) 16t+3
(2) t+3
(4) t-3
Answer:
4) t -3
Step-by-step explanation:
-16t² = -16 * t * t
48t = (-16t) * (-3)
-16t² + 48t = (-16t) * t + (-16t) *(-3)
= (-16t) [ t - 3]
goodmorning have a great day:)
Answer:
jzi4iickzmlqlridioeo
Answer:
Good morning to you to. You have a great day as well! :>
3) reflection across y=1
