From the set {(-2, -5), (0, 10), (5, 8), (8, -3)}, which ordered pairs are a part of the solution set for 5x + 5y > 45?
Answers
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Plug in (x,y) = (-2,-5)
5x + 5y > 45
5(-2) + 5(-5) > 45 ... replace x with -2; replace y with -5
-10 - 25 > 45
-35 > 45
The last inequality is false, so (-2,-5) is not in the solution set.
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Plug in (x,y) = (0, 10)
5x + 5y > 45
5*0 + 5*10 > 45
0 + 50 > 45
50 > 45
The last inequality is true so (0,10) is in the solution set
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Plug in (x,y) = (5,8)
5x + 5y > 45
5*5 + 5*8 > 45
25+40 > 45
65 > 45
The last inequality is true so (5,8) is in the solution set
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Plug in (x,y) = (8,-3)
5x + 5y > 45
5*8 + 5*(-3) > 45
40 - 15 > 45
25 > 45
The last inequality is false, so (8,-3) is not in the solution set
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Summary: The points (0, 10) and (5,8) are in the solution set
Check out the attached image to see a visual representation of this.
Notice how point B and point C are in the red shaded region.
Related Questions
Zander uses an on-line store that sells
songs for $1 each and movies for $6.
He used all of his $20 allowance to buy
10 items.
a. Write one equation in a system for this situation.
b. Write a second equation in the system.
c. What do x and y represent?
d. How many songs and how
many movies did he buy?
Answers
To solve this problem, set up a system of equations and solve for the number of songs and movies Zander bought using substitution or elimination.
Explanation:To solve this problem, we can set up a system of equations to represent the situation:
x + y = 10
$1x + $6y = $20
The first equation represents the total number of items Zander bought, which is 10.The second equation represents the total amount of money Zander spent, which is $20.x represents the number of songs Zander bought, and y represents the number of movies Zander bought.To solve the system of equations, we can use any method, such as substitution or elimination. For example, using substitution, we can solve for x in the first equation and substitute it into the second equation to find the value of y.Once we have the value of y, we can substitute it into the first equation to find the value of x.So, Zander bought 4 songs and 6 movies.The height of a trapezoid is 8 in. and it’s area is 96 in^2. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases? Explain how you found your answer.
Answers
(B+b)*8/2=96
⇒B+b=96*2/8=96/4=24
B=b+6
⇒(b+6)+b=24
2b+6=24
2b=24-6
2b=18
b=18:2
b=9 in.
B=9+6
B=15 in.
Rick discounts a 100-day note for $25,000 at 13%. The effective rate of interest to the nearest hundredth percent is
A. 13.48%.
B. 13.03%.
C. 13.02%.
D. 13.49%.
Answers
= 25,000 x 0.13 x (100/365)
= 902.78
This will be deducted from the principal amount, which is 25,000.
= 24,097
Last, we plug our values in to the effective rate formula for interest:
[tex] \frac{Interest}{Proceeds x Time of Note} [/tex]
902.78/6693.6722
= 13.487066
After rounding, we come to our final answer, which is D, 13.49%.
How to find the surface area of the open net
Answers
So, since there are 6 boxes you’ll have to find the area of the faces and add it up to find the surface area
10x4=40x4=160
3x4=12x2=24
160+24=184
Hope this helps ;)
Can You show me how to do this?
Answers
2n + 5.
Theo bought two hot dogs and two sodas for $4.00. At the same concession stand, Vicky bought three hot dogs and a soda for $4.50. What is the price of a hot dog at the concession stand?
Answers
Soda @ $3.00
If Theo bought two hot dogs and two sodas for $4.00. At the same concession stand, Vicky bought three hot dogs and a soda for $4.50. Then $1.125 is the price of a hot dog at the concession stand
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Theo bought two hot dogs and two sodas for $4.00.
Let hot dogs denoted by H
Soda denoted by S
2H+2S=4...(1)
Vicky bought three hot dogs and a soda for $4.50
3H+S=4.50..(2)
Multiply (2) with 2
6H+2S=9..(3)
Now subtract 3 from 1
2H+2S-6H-2S=4.50-9
-4H=-4.5
H=1.125
Now plug in H value in 2
3(1.125)+S=4.5
3.375+S=4.5
S=4.5-3.375
S=1.125
Hence $1.125 is the price of a hot dog at the concession stand
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What is the prediction for the outcome when the independent variable is 12?
Answers
if the independent variable is on the x axis, and based on the given coordinate, the outcome is always triple the amount of the input.
multiply 12 by 3
12x3 is 36.
I THINK that 36 is the correct answer.
If 1 is added to the numerator and to the denominator of a fraction,the value obtained is 4/5.If 5 is subtracted from it's numerator and from it's denominator, the resulting value is 1/2.Find the fraction.
Answers
.. (n +1)/(d +1) = 4/5
.. (n -5)/(d -5) = 1/2
Eliminating fractions from these equations gives
.. 5(n +1) = 4(d +1)
.. 2(n -5) = (d -5)
Subtracting the first equation from 4 times the second gives
.. 4(2(n -5)) -(5(n +1)) = 4(d -5) -(4(d +1))
.. 8n -40 -5n -5 = 4d -20 -4d -4
.. 3n = 21
.. n = 7
.. 2(7 -5) = d -5
.. 9 = d
The fraction is 7/9.
how do sales tax and property taxes affect the cost of an item
Answers
What is the slope of the line through (−9,6) and (−6,−9)
Answers
m = -9 - 6 / -6 + 9
m = -5
The slope is -5.
Hi!
Step-by-step explanation:
[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{Rise}{Run}[/tex]
[tex]\frac{(-9)-6}{(-6)-(-9)}=\frac{-15}{3}=-5[/tex]
Therefore, the slope is -5, which is our final answer.
Hope this helps you!
Have a great day! :)
:D
-Charlie
Thank you!
can someone please help me asap !!!
Answers
We then have to be aware of the domain of the function.
Note: see attached graphic.
Ansewer
the domain of the graph is all real number less than or equal to 0
option 3
Four of the angles of a pentagon measure 85°, 110°, 135°, and 95°. Find the measure of the missing angle.
Answers
subtract all given angles you get 115
Answer:
115
Step-by-step explanation:
how do u solve this question 3/4 - 1/3 =
Answers
3/4 = 9/12 and 1/3 = 4/12
9/12 - 4/12 = 5/12
3/4·3/3=9/12
1/3·4/4=4/12
2. Now you can subtract.
9/12-4/12=5/12.
So your answer is 5/12.
Work out the circumference of this circle.
Take pi to be 3.142 and give your answer to 1 decimal place
The radius is 4cm
Answers
C=2πr
here radius, r=4 cm and π=3.142
Put values in formula.
C=2(3.142)(4)
C=25.1 cm (Rounded to 1 decimal place)
Answer: Circumference of the circle is 25.1 cm (Rounded to 1 decimal place)
Answer:
25.1
Step-by-step explanation:
Find the slope of a road that rises 12 feet for every horizontal change of 100 feet.
Answers
The answer should be 0.12 because you have to do rise over run to get slope. So, 12 divided by 100 gets you 0.12.
Carol bought 12 stickers two thirds of the stickers where dogs how many of the stickers were dogs
Answers
- x - = - = 8
3 1 3
8 of the stickers are dogs
How to find the answer: divide 12 by three. It's four. Take four times 2, which is 8. Therefore, 8 of the stickers were dog stickers!
I hope I helped! If i did, don't forget to mark me as brainliest!
what is the factorization of 49b^2 - 81 ?
A - (7b-9)(7b-9)
B - (7b-9(b2^+9)
C - (7b2^-9)(7b2^-9)
D - (7b2^-9)(7b2^+9)
Answers
Help? I have no idea...
Answers
A translation by 5 units right.
Charles rode 1.6 miles more on Thursday than on Tuesday. Find the number of miles he rode on Tuesday and Thursday.
Answers
x+1.6 = y-1.6
Find the percent markup from wholesale cost to selling price.
Answers
Answer:
$650 - $200 = $450
$200 = p × $450
p = 20/45 = 4/9 = about 44%
The percent markup is about 44%.
To find the percent markup from wholesale cost to selling price, calculate the difference between the selling price and the wholesale cost, divide that difference by the wholesale cost, and multiply by 100.
Explanation:To find the percent markup from wholesale cost to selling price, you need to calculate the difference between the selling price and the wholesale cost, and then divide that difference by the wholesale cost. Finally, multiply the result by 100 to get the percent markup.
For example, if the wholesale cost is $50 and the selling price is $75, the difference is $25. Dividing $25 by $50 gives you 0.5, and multiplying by 100 gives you a 50% markup.
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Meg rolled a fair six-sided die 28 times. The table below shows the number of times each number was rolled:
Number Cube Experiment
Number on
the Cube Number of
Times
Appeared
1 2
2 7
3 9
4 4
5 6
6 0
According to the results in the chart, what is the experimental probability of getting a number less than 3 on the die?
19 over 28
9 over 28
7 over 28
2 over 28
Answers
Answer:
9/28 it is right
Square roots question??
Answers
√5²+2*√5*√3+√3²
5+7.7+3
15.7
a square root that is squared becomes the number under the root sign
the general formula is a^2 + 2ab + b^2
sqrt(5)^2 + 2*sqrt(5)*sqrt(3) + sqrt(3)^2
5 + 2sqrt(15) + 3
8 + 2sqrt(15) <<<<=====
Stop!
Don't go any further. That is your answer.
What formula should I use for this?
Answers
a(n) = 6000 * 0.5ⁿ
However, the first term is when n=1, so your formula should really be:
a(n) = 6000 * 0.5⁽ⁿ⁻¹⁾
Then the 8th term is 46.875
which of the following expressions represents the distances between -4 and 5 on the number line? A.|-4+5| B.|4-5| C.|-5-(-4)| D.|-4-5|
Answers
Answer:
Option C - [tex]|5-(-4)|[/tex]
Step-by-step explanation:
To find : Which of the following expressions represents the distances between -4 and 5 on the number line?
Solution :
According to number line,
<-----------|----|------|----|-----|----|---|----|----|----|-----|----|---------------->
-∞ -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +∞
The distance between -4 and 5 is given by,
[tex]d=|5-(-4)|[/tex]
Solving the expression,
[tex]d=|5+4|[/tex]
[tex]d=|9|[/tex]
[tex]d=9[/tex]
Therefore, The expression represents the distances between -4 and 5 on the number line is [tex]d=|5-(-4)|[/tex]
So, Option C is correct.
Answer:
D is the answer
Step-by-step explanation:
|-4-5|=|-9|=9
the distance between -4 and 0 is 4 .....and between 0 and 5 is 5
so the distance will be 4+5=9
a square has an area of 81 square feet. what is the length of each side of the square?Explain how you know.
Answers
triangles q'r's' is a translation of triangle QRS which transformation created triangle q'r's'
A. Translation 3 units left and 5 units up
B. Translation 5 units left and 3 units up
C. Translation 3 units right and 5 units down
D. translation 5 units right and 3 units down
Answers
To determine which transformation created triangle q'r's' from triangle QRS, one would compare the vertices of the original and translated triangles. This comparison would reveal the horizontal and vertical distances each point has been moved, indicating the correct translation.
Explanation:The question asks which transformation created triangle q'r's' from triangle QRS. The correct answer will be the translation that moves triangle QRS to the new position of triangle q'r's'. When a figure is translated, all points move the same distance in the same direction. Given the options, we need to choose the translation that shifts the triangle in the correct direction and by the correct number of units.
Without specific coordinates, we cannot determine the exact translation from the given options. However, if we had the positions of triangles QRS and q'r's', we could compare their corresponding vertices to find the difference in their 'x' (horizontal) and 'y' (vertical) coordinates. This difference would tell us how far and in which direction the triangle has been translated.
Help please don’t understand
Answers
======
b = 13
h = 9
Area = b*h
Area = 13*9 = 117 square in
Trapezoid
========
Givens
b1=9
b2 = 15
h = 14
Area = (b1 + b2)*h/2
Area = (9 + 15)* 14/2
Area = 24 * 14 / 2
Area = 336/2
Area = 168 square inches.
Rhombus
=======
I can't see the second number I'll make one up. Redo the questioin and put a the number in
Area = 1/2 * d1 * d2
d1 = 18
d2 = 12 substitute what it really says here.
Area = 1/2 * 18 * 12
Area = 108
what is the fifference between [-3] and -3
Answers
The equation of the graphed line in point-slope form is what
Y-0=-3/5(x-3)
3y=-5(x-3)
Y-3=-3/5(x-0)
And it’s equation in slope-intercept form is what
Y=-9/5x+3/5
5y=-3(x-3)
Y=-3/5x+9/5
Answers
find slope
m= 0-3/(3+2) = -3/5
point slope is y-y1=m (x-x1)
point is (3,0) and m=-3/5
plug and chug
y-0=-3/5(x-3)
y=-3/5x+9/5
hope that helps
find the GCF of 15x^4 and 35x^2
Answers
your answer would be: 5x^2