Which ordered pairs are solutions to this system of inequalities?
x+5 y>8
4 x-y<6
Select each correct answer.
(2,-3)
(-1,5)
(10,2)
(-4,1)
(0,4)
(-6,7)
Answers
The ordered pairs to the system of linear inequality are (-1, 5), (0, 4), (-6, 7)
System of Linear InequalityA system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.
In the problem given;
x + 5y > 8 ...eq(i)
4x - y < 6 ...eq(ii)
From eq(i)
x + 5y > 8
x > 8 - 5y ...eq(iii)
however, this can easily be solved using a graph.
Plotting the inequality in a graph line;
The ordered pairs are (-1, 5), (0, 4), (-6, 7)
Learn more on system of linear inequality here;
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Related Questions
If an object travels at 2 feet per second, how many feet does it travel in 3 hours?
Answers
Object will cover 21600 feet in 3 hours.
What is distance?
Distance is defined as the product of the speed and time.
The distance an object travelled is measured in distance per second here.
So, let us convert the hours into seconds to arrive at our answer.
One hour = 60 minutes = (60×60) seconds = 3600 seconds.
The object travels 2 feet for every second.
Then, total distance covered in 3 hours is
2×3×3600 = 21600 feet.
Hence, object will cover 21600 feet in 3 hours.
Learn more about distance
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A manufacturer of band saws wants to estimate the average repair cost per month for the saws he has sold to certain industries. He cannot obtain a repair cost for each saw, but he can obtain the total amount spent for saw repairs and the number of saws owned by each industry. Thus, he decides to use cluster sampling, with each industry as a cluster. The manufacturer selects a simple random sample of n = 20 from the N = 96 industries he services. The data on total cost of repairs per industry and number of saws per industry are as given in the accompanying table. Estimate the average repair cost per saw for the past month and place a bound on the error of estimation.
Industry No.of saws Total repair cost for past month
1 3 50
2 7 110
3 11 230
4 9 140
5 2 60
6 12 280
7 14 240
8 3 45
9 5 60
10 9 230
11 8 140
12 6 130
13 3 70
14 2 50
15 1 10
16 4 60
17 12 280
18 6 150
19 5 110
20 8 120
Answers
Answer:
The average repair cost per saw for the past month is 20.
The bound of error of estimation is ±10.
Step-by-step explanation:
a) Data and Calculations:
Industry No.of saws Total repair cost Average
for past month
1 3 50 16.67
2 7 110 15.71
3 11 230 20.91
4 9 140 15.56
5 2 60 30
6 12 280 23.33
7 14 240 17.14
8 3 45 15
9 5 60 12
10 9 230 25.56
11 8 140 17.50
12 6 130 21.67
13 3 70 23.33
14 2 50 25
15 1 10 10
16 4 60 15
17 12 280 23.33
18 6 150 25
19 5 110 22
20 8 120 15
Total 130 2,565 19.73
Average = Sum of the total repair cost for past month divided by the number of saws repaired
= 19.73 (2,565/130)
= 20
The bound on error of estimation = the difference between the upper bound of the interval and the calculated mean
= 30 - 20
= 10
The lower bound = 10
The bound of error is also = (30 -10)/2 = 10
HELP ME ASAP!!!! I’m very confused and I need help!! Thanks!
Answers
Answer:
Reason 2)The transitive property of congruenceStep-by-step explanation:
There are several sort of "obvious" properties of equality/congruence. Keeping them sorted out can be a bit of a trick.
A = A . . . . reflexive property
A = B ⇔ B = A . . . . symmetric property (erroneously cited in the proof)
A = B, B = C ⇒ A = C . . . . transitive property (the one needed in the proof)
__
Not to confuse the issue, but there is also the "substitution property of equality" that says if X = Y, then X can be substituted for Y or vice versa. In the end, the transitive property is an application of this, where we're substituting for B in the second equation, or for A in the first equation.
The A=B=C form of Statement 1) in the proof is what gives you the clue it is the transitive property that is wanted here.
Solve for x and show work please!
Answers
Answer:
Every quadrilateral's 4 angles add up to 360 degrees.
The four angles would be 100° + 7x +37 + 100° + 7x +37 = 360°
200° + 14x + 74° = 360°
14x = 360° - 274
14x = 86
x = 6.1428571429
Step-by-step explanation:
Answer: x=43/7
Step-by-step explanation:
One of the properties of the inner angle of a parallelogram is that the two angles on the same side add up to 180°
100+(7x+37)=180
100+7x+37=180
137+7x=180
137+7x-137=180-137
7x=43
x=43/7≈6.14
Hope this helps!! :)
Please let me know if you have any questions
the area of a rectangle with a height of 2 and a width of 5x^2-2x+3
Answers
Answer:
Area is 10x^2 - 4x + 6
Step-by-step explanation:
To find this area, multiply the width and height together:
(5x^2 - 2x + 3)(2) = 10x^2 - 4x + 6
Calcular el valor de la fuerza que se debe aplicar para dezlisar un bloque de la siguiente figura a velocidad constante, si tiene un peso de 150 N y al coeficiente de friccian dinamico es de 0.3
Answers
Answer:
azsdfghjkljhgfdsasdfghjm,.
Step-by-step explanation:
Find the side length of a square with an area of 1521 m².
Answers
Answer:
39
Step-by-step explanation:
a=A=1521=39
Jim caught 15 fish over course of 3 days. After 4 days how many total fish will Jim have caught?
Answers
Answer:
20
Step-by-step explanation:
15 divided by 3 is 5
15 over 4 days = 20
Find the measurements of the numbered angles in each kite
Answers
Answer:
∠1 = 23°
∠2 = 23°
Step-by-step explanation:
The scatter plot shows the number of sport Utility vehicles
sold in a city from 2005 to 2010. Based on the scatter plot,
which is the best prediction of the number of sport utility
vehicles that will be sold in 2011?
Answers
Answer:
this answer wont help but please give it 5 stars. Brainly keeps bombarding me with ads. please help sos
Step-by-step explanation:
The tenants in an apartment building voted on whether to places couches in the lobby of the building. The number of votes for placing couches in the lobby was 765. The number of votes against placing couches in the lobby was 1,785. What percent of the voters were in favor of placing couches in the lobby of the building.REEEEE
A.20%
B.25%
C.30%
D.35%
Answers
you just need to add 1785 and 765 which would give you 2,550. From there, I honestly just guessed 30% then figured out 30% of 2550 which is 765.
does anyone else play woozworld? if so, add me SummerRae0
Answers
Last year, scientists claimed there were 10,000 different species of ants around the world. Since then, the number of different species have decreased by 5.1%. How many different species of ants are estimated currently?
help what's the correct answer and how did u get it
Answers
Answer:
9490.
Step-by-step explanation:
First you take 5.1% of 10,000 which is 510 and then you do 10,000-510= 9490.
Hope this helps!
:)
Mr. Thorbes bought a new journal for his poetry. If the journal normally cost $22 but was on sale for 20% off, how much did Mr. Thorbes save?
Answers
Answer:
He would save $4.40
Step-by-step explanation:
And in total he would pay 17.60
PLEASE HELP!
The equation of a parabola is y=1/2x^2+6x+23.
What is the equation of the directrix?
y = 5.5
y = 4.5
y = 2
y = 0.5
Answers
Answer:
Step-by-step explanation:
y = ½x² + 6x + 23
= ½(x² + 12x) + 23
= ½(x² + 12x + 6²) - ½(6²) + 23
= ½(x+6)² + 5
vertex (-6,5)
focal length = 1/(4∙½) = ½
directrix: y = 5-½ = 4.5
Answer: y=4.5 Just confirming
Step-by-step explanation:
Just a test good luck
PLEASEEEE I NEED IT ASAP 51 POINTS IS THE MAX I CAN GIVE PLEASEEEEE HELP ME
Answers
Answer:
A
Step-by-step explanation:
2(10+7)
2(17)
=34
Answer:
the answer is a
Step-by-step explanation:
10 times 2 plus 7 times 2=34
d. Cloe has 84 packs of potato chips and 86 juice boxes.
He wants to share them equally with all his friends. How
A many friend does Cloe have
? How many packs of chips
and juice boxes will each friend receive? is it LCM or GCF?
Answers
Answer:
I was trying to look up the answer to help out but I think I accidently found the answer key ill put it in the explanation
Step-by-step explanation:
https://www.louisianabelieves.com/docs/default-source/assessment/grade-7-answer-key.pdf?sfvrsn=e005981f_2
Find a number such that the sum of the number and its reciprocal is 65/8.
Answers
Answer:
Let the number be x
Since sum of a number and its reciprocal is 65/8 so we have
x+1/x=65/8
8x^2+8=65x
8x^2-65x+8=0
8x^2-64x-x+8=0
8x(x-8)-1(x-8)=0
(8x-1)(x-8)=0
x=8,1/8
So the numbers are 8 or 1/8
Please mark as brainliest for further answers :)9. Four people are running for sheriff. A survey was randomly conducted in the countyand the results were recorded in the graphIf there are approximately 5,000 registered voters, how many more volers would be expected to vote for Ben than for Scott?
A.) 4
B.)210
C.)500
D.)400
Answers
Answer:
D.) 400
Step-by-step explanation:
I started by adding all the votes together
4+4+17+21=46
I then rounded 46 up to 50 to make the next step easier
I divided 5000 by 50 and got 100.
With that information, I can now multiply each original vote by 100 to make them more realistic to the number of voters (5000)
4*100=400
4*100=400
17*100=1700
21*100=2100
Now Ben has 2100 votes while Scott has 1700
Subtract 1700 from 2100 and you get 400
So Ben is expected to get approx. 400 more votes than Scott.
Hope I helped!! Maybe Brainliest answer?
Write 108 in exponential form using only prime numbers as a base
Answers
4x + y = 23
3x - y = 11
Answers
Answer:
Step-by-step explanation:
4x + y = 23
3x - y = 11
I got x = 34/7
Answer:it will be x= 34/7 and y= 25/7
Step-by-step explanation:4x+y=23for y:
4x+y=23
4x+y+−4x=23+−4x(Add -4x to both sides)
y=−4x+23
−4x+23foryin3x−y=11:
3x−y=11
3x−(−4x+23)=11
7x−23=11(Simplify both sides of the equation)
7x−23+23=11+23(Add 23 to both sides)
7x=34
7x
7
=
34
7
(Divide both sides by 7)
x=
34
7
Step: Substitute
34
7
forxiny=−4x+23:
y=−4x+23
y=−4(
34
7
)+23
y=
25
7
(Simplify both sides of the equation)
Answer:
x=
34
7
and y=
25
7
A survey conducted by the U.S. department of Labor found the 48 out of 500 heads of households were unemployed. Compute a 99% confidence interval for the proportion of unemployed heads of households in the population. Round to three decimal places. (make sure to type a zero in front of the decimal place ie. 0.1 vs .1 otherwise your answer will be marked incorrect) Lower limit
Answers
Answer:
99% Confidence interval is given as;
Lower Limit = 0.062
Upper Limit = 0.130
Step-by-step explanation:
Given the data in the question;
x = 48
n = 500
sample proportion p = x/n = 48/500 = 0.096
with 99% confidence
significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01 / 2 = 0.005
Critical Z-value = [tex]Z_{\alpha /2[/tex] = [tex]Z_{0.005[/tex] = 2.576
Now,
Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]
we substitute
SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]
SE = √[ (0.096 × 0.904) / 500 ]
SE = √[ 0.086784 / 500 ) ]
SE = 0.0131745
so
Margin of Error E = [tex]Z_{\alpha /2[/tex] × SE
E = 2.576 × 0.0131745
E = 0.0339
Now 99% confidence interval will be
⇒ 0.096 ± 0.0339
⇒ (0.096 - 0.0339, 0.096 + 0.0339 )
⇒ ( 0.062, 0.130 )
Lower Limit = 0.062
Upper Limit = 0.130
Apples weighing 30 pounds are placed in a crate that weighs p pounds. Which equation can
be used to find t, the total weight of both the crate and the apples in pounds?
A. t=30p
B. t=p+30
C. t=p-30
D. t=30-p
Answers
Total = add
B
Consider the functions f(x) = 2x + 1 and g(x) = x^2 - 10. What is the value of f[g(3)]?
Answers
Answer:
f[g(x)]= 2(x^2-10)+1
2x^2-20+1
f[g(3)]=2(3)^2-20+1
18-20+1
18-19=-1
How many times greater is 6,680 than 668
Answers
Answer:
10
Step-by-step explanation:
668 x 10 = 6,680
Tina constructed triangle XYZ.
Which two words describe triangle XYZ?
A. equilateral and right
B. equilateral and isosceles
C. isosceles and scalene
D. isosceles and right
Answers
Answer:
It's D... Isosceles and right
Step-by-step explanation:
got it right on the quiz.
If f(x) = 2x +1 and g(x) = 3x + 4 , write down (f+g) (-3)
A. -10
B. 15
C. -15
D.
10
Answers
Answer:
A
Step-by-step explanation:
(f + g)x = 2x + 1 + 3x + 4 Collect like terms
(f + g)x = 5x + 5
(f + g)(-3) = 5(-3) + 5
(f + g)(-3) = -15 + 5
(f + g)(-3) = - 10
A
Un círculo tiene una circunferencia de 18.4 m. Determina el valor del radio. (Utiliza el valor de π = 3.14)
Answers
Answer: 2.92
Step-by-step explanation:
De la circunferencia del círculo, se encuentra que su radio es de 2.93m.
El circunferencia de un círculo de radio r es dada por:
[tex]C = 2\pi r = 2(3.14)r = 6.28r[/tex]
En este problema, la circunferencia es de 18.4. Así, es posible aplicar la fórmula de la cincumference para encontrar su radio, puesto que [tex]C = 18.4[/tex].
[tex]C = 6.28r[/tex]
[tex]6.28r = 18.4[/tex]
[tex]r = \frac{18.4}{6.28}[/tex]
[tex]r = 2.93[/tex]
El radio es de 2.93m.
Un problema similar es dado en https://brainly.com/question/24562611
Can someone help me with this
Answers
Answer:
its red
Step-by-step explanation:
math. lol
What is the ratio in simplest form between the length of a side in ABCD and the length of its corresponding side in WXYZ?
a.2\3
b.1\2
c.3\4
d.6\5
Answers
Answer:
The Answer would be C) 3/4
Step-by-step explanation:
If you subtract a quarter of the number presented on right left hand on the picture you get the numbers presented on the left hand side of the picture shown. There fore the ratio is 3/4 or three quarters of the already existing number.