Answers
Answer:
the third graph
Step-by-step explanation:
2x<6/÷2 we get x<3
3x+2>-4
3x>-4-2
3x>-6/÷3
x>-2
Answer:
Basically how inequalities work is that they restrict equations into certain parts of graphs. So the answer would be C.
Step-by-step explanation:
You can do normal division on inequalities so you can do 2x<6 and then divide both sides by 2 to get the unit value of x. You get x<3
When something is < or >, the inequality graph will be an open circle.
When something is ≥ or ≤, the sign is a closed circle which basically means a filled in circle. Since both inequalities have the > or < sign, you know that both graphs have to have open circles, which basically mean a circle where you can see the center as a different color. It will be a circle like an o.
You now know that it is either A or C, but how to know which one?
You can simplify the inequalities as you know from before that 2x<6 is equal to x<3 so you can graph that on a number line. X is less than three, so the line should run away from three down to 0 and the infinity of negative numbers. C is the only answer that fits it. You may wonder though, "Why in C, does the line stop at -2 with another open circle?" That is because are two inequalities.
The first is x<3
but the other is 2x+2>-4
You can simplify that by subtracting 2 from both sides to get 2x isolated on the left side. You get 2x>-6.
Now you can divide both sides by 2, as we did previously at the beginning. You get x>-3 from dividing.
Finally you can graph that on the number line, but you know that x is greater than -3, so it should be an open circle starting from -3 heading out to the infinite cosmos of positive numbers.
BUT...
The two inequalities are separated by "and," meaning that they are related by the fact that they are directly connected. There are two possible words that separate inequalities, "and," and, "or."
In "or" statements, the two inequalities are not related, so the two inequalities would keep on going forever without regard to the other.
In "and" statements, the two inequalities are related, so the two inequalities would depend on each other to end off each other.
SO
Because they are connected with the word And,
They would end off at each other, so the original inequalities would depend on each other to continue, or to end off.
That is why the two inequalities would be a line from anything greater than -2 all the way to all the numbers below 3. The numbers could be anything from -1.999999999999999... forever, as long as they do not equal or go less than -2. The numbers could be anything from 2.99999999... forever, as long as they do not equal or go over 3.
Hope this helps!
Related Questions
Amber is 11 years younger than Adrianna. The sum of their ages is 17. How old are Amber and
Adrianna?
Amber is
years old and Adrianna is
years old.
Answers
2x = 6
x =3
Amber is 3 years old and Adriana is 14 years old.
How do you expect me to respect you when you don’t respect yourself
Answers
Answer:
You don't
Step-by-step explanation:
*Mind Blown*
Ambrose and Kaitlin are volunteering at a food bank. They both start at the same time. Kaitlin takes 13 minutes to pack a box with donated food. Ambrose takes 7 minutes to pack a box. After how many minutes will they finish packing boxes at the same time?
Answers
Answer:
They will finish packing boxes at the same time after 91 minutes.
Step-by-step explanation:
From the question,
Kaitlin takes 13 minutes to pack a box while Ambrose takes 7 minutes to pack a box. That is,
Kaitlin will finish packing a box after every 13 minutes and Ambrose will finish packing a box after every 7 minutes.
To determine when they will finish packing boxes at the same time, we will list the times they will finish packing boxes
For Kaitlin, she will finish packing box(es) at the following times:
13th minute, 26th minute, 39th minute, 52nd minute, 65th minute, 78th minute, 91st minute, 104th minute etc.
For Ambrose, he will finish packing box(es) at the following times:
7th minute, 14th minute, 21st minute, 28th minute, 35th minute, 42nd minute, 49th minute, 56th minute, 63rd minute, 70th minute, 77th minute, 84th minute, 91st minute, 98th minute, 105th minute etc.
From above, we can observe that, Ambrose and Kaitlin will finish packing boxes at the 91st minute.
Hence, They will finish packing boxes at the same time after 91 minutes.
Find the value of 10 to the 4th power.
Answers
Answer: 10,000
Step-by-step explanation: 10x10x10x10=10,000.
Answer:
10000
Step-by-step explanation:
help. you are converging 8 centimeters to meters. how will the number of meters compare to 8? explain
Answers
Answer:
0.08
Step-by-step explanation:
Because one cm to meters is 0.01 and times it by 8
=0.08
help TWT ;-;-;-;-;-;-;
Answers
Answer:1
Step-by-step explanation:
Answer:
the answer is 1
Step-by-step explanation:
Your answer should be a polynomial in standard form. ( d^2 +3) (d^2 +2d +1)
Answers
Answer:d^4+2d^3+4d^2+6d+3
Step-by-step explanation:
Joe and Carmen are partners in a business. Joe makes $2.00 profit for every $5.00 profit that Carmen makes. If Carmen makes $20 on the first item they sell, how much profit will Joe make?
Answers
Gianna earned $466.90 at her job when she worked for 23 hours. How much money did she earn each hour?
Answers
Answer:
About $20.30
Step-by-step explanation:
$466.90 divided by 23.
You need to divide 466.90 which is the total amount for 23 hours and then divide that by 23
Myra can fill 18 glasses with two containers of ice tea how many glasses can she fill with three containers of iced tea
Answers
Answer:
27
Step-by-step explanation:
If we divide 18 by 2, we get 9. 9 is how many glasses each container of ice tea can fill. 3 x 9 = 27
write the sentence as an equation 253 is the product of 69 and g
Answers
Answer:
253=69g or 253=69(g)
Step-by-step explanation:
At Cheng's Bike Rentals, it costs $23 to rent a bike for 4 hours. How many hours of bike use does a customer get per dollar?
Answers
Step-by-step explanation:
5.75 dollers cause 23 ÷ by 4 is 5.75
Help me pleaseeeeeeeeeeeee
Answers
Answer:
b
Step-by-step explanation:
Answer: B
Explanation there is nothing for me to explain
cómo se resuelve?
a) 3X+Y=16
5X-Y=24
b) 5X+4Y=35
2X+2Y=16
c) X+Y =21
3X+7Y=107
Answers
A
Hope that helps you
Gavin likes biking. This week his goal is to bike about 65 total miles over four days. Each day he wants to ride 1.5 times as far as he rode the day before. How far should he ride on each of the four days. Write the expressions for the distance Gavin needs to bike each day. Then relate these expressions to create an equation that represents Gavin's situation.
Answers
Step-by-step explanation:
let the first-day ride be x
Then the second-day ride will be =1.5 x
The third-day ride will be=1.5(1.5x)
The Fourth-day ride will be=1.5*1.5(1.5x)
hence for the four days the distance covered is
65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x
65=x+1.5x+2.25x+3.375x
65=8.125x
divide both sides by 8.125 we have
x=65/8.125
x=8mile
the first-day ride be x=8miles
the second-day ride will be =1.5 x =1.5*8= 12miles
The third-day ride will be=1.5(1.5x) = 18miles
The Fourth-day ride will be=1.5*1.5(1.5x) = 27miles
A youth group is selling snacks to raise money to attend their convention. Amy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. What is the cost of each item
Answers
Answer:
The cost of a can of popcorn is $10.
The cost of a box of cookies is $5.
The cost of a can of popcorn is $20
Step-by-step explanation:
First you must propose a system of equations, a set of two or more equations with several unknowns in which you want to find the value of each unknown so that all the equations of the system are fulfilled.
Defining the variables:
x: cost of one pound of candyy: cost of a box of cookiesz: cost of a can of popcornAmy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Then:
2*x + 3*y + 1*z=65 Equation 1
Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. So:
4*x + 6*y + 3*z=140 Equation 2
Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. Then:
8*x + 8*y + 5*z=250 Equation 3
Then the system of equations is formed by these three equations.
A method to solve a system of equations is by means of the substitution method, which consists of isolating one of the two unknowns in an equation to substitute it in the other equation.
Isolating z from Equation 1:
[tex]z=65-2*x-3*y[/tex] Equation 4
Replacing in Equation 2:
4*x + 6*y + 3*(65 -2*x-3*y)=140
4*x + 6*y + 195 - 6*x - 9*y= 140
-2*x - 3*y=140-195
-2*x - 3*y=-55
2*x + 3*y= 55
and isolating x:
[tex]x=\frac{55-3*y}{2}[/tex] Equation 5
Replacing in Equation 4:
[tex]z=65-2*\frac{55-3*y}{2} -3*y[/tex]
z=65 - (55-3*y) - 3*y
z= 65 -55 + 3*y - 3*y
z= 10
So the cost of a can of popcorn is $10.
Replacing equation 5 and the value of z in equation 3:
8*[tex]\frac{55-3*y}{2}[/tex] + 8*y + 5*10=250
[tex]\frac{8}{2}[/tex]*(55 -3*y)+ 8*y + 5*10=250
4*(55 -3*y)+ 8*y + 5*10=250
4*55 - 4*3*y + 8*y + 50=250
220 - 12*y + 8*y + 50=250
-12*y + 8*y= 250 -220 - 50
-4*y= -20
[tex]y=\frac{-20}{-4}[/tex]
y= 5
So the cost of a box of cookies is $5.
Finally replacing the value of y in Equation 5 you get the value of x:
[tex]x=\frac{55-3*5}{2}[/tex]
[tex]x=\frac{55-15}{2}[/tex]
[tex]x=\frac{40}{2}[/tex]
x=20
Finally, the cost of a can of popcorn is $20
At a basketball game, a vender sold a combined total of 222 sodas and hot dogs. The number of sodas sold was 58 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
Answer:
Probably 169
Step-by-step explanation:
I divided 222 by 2 and got 111 so i added 58 and got 169
111+58=169
If im incorrect please correct me so i can learn as well :D
which of the rational numbers -11/28,-5/7,9/-14,29/-42
is the greatest?
Answers
Answer: -5/7
Step-by-step explanation:
-11/28 = -0.39
-5/7 = -0.71
9/-14 = -0.64
29/-42 = -0.69
Out of these, -5/7 is the greatest rational number, even if they are all negative.
Hope this helps!
Ok, I made a mistake on my last question, but this time I have the right one. Solve v, 5/v=2/7.25
Answers
Answer:
[tex]v=\frac{145}{8}[/tex]
Step-by-step explanation:
[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]
[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]
[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]
[tex]v=\frac{145}{8}[/tex]
RiDDLe oF tHE DaY: In the beginning of the school semester at Wilson Middle there was a murder. There were four suspects, The principal, Gardener, The counselor and the math teacher. The principal said he was in his office. The counselor said she was at the front office with school staff. The gardener said she was trimming bush leaves. The math teacher said he was giving out the end of semester school test. Who is the murder?
Answers
Answer:
the gardener
Step-by-step explanation:
it always is lol
Answer:
Math teacher
Step-by-step explanation:
It says he was giving the end of semester school test, and its the beginning of the school semester at Wilson Middle.
Sara’s checking account is overdrawn with a balance of -$3.00. She deposits some money into her account so the new balance is $4.50.
Answers
Answer:
She put in $7.50
Step-by-step explanation:
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard. Here is a system of equations that represent the constraints in the situation. x + y = 4.25 16.90x + 4y = 36.35 Find the solutions to the system of equations. Explain or show your reasoning
Answers
Given:
The system of equations that represent the constraints for the given situation is
[tex]x+y=4.25[/tex]
[tex]16.90x+4y=36.35[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]x+y=4.25[/tex] ...(i)
[tex]16.90x+4y=36.35[/tex] ...(ii)
Multiply equation (i) by 4.
[tex]4x+4y=17[/tex] ...(iii)
Subtracting (iii) from (ii), we get
[tex]16.90x+4y-(4x+4y)=36.35-17[/tex]
[tex]16.90x+4y-4x-4y=19.35[/tex]
[tex]12.90x=19.35[/tex]
Divide both sides by 12.90.
[tex]x=\dfrac{19.35}{12.90}[/tex]
[tex]x=1.5[/tex]
Put this value in (i).
[tex]1.5+y=4.25[/tex]
[tex]y=4.25-1.5[/tex]
[tex]y=2.75[/tex]
The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.
what is the slope of a line perpendicular to the line whose equation is 9x+3y=-27
Answers
Answer:
y = (1/3)x - 27 <-- perpendicular line
Step-by-step explanation:
9x + 3y = (-27)
3x + y = (-27)
y = (-3x) - 27 <-- original line
y = (-3x) - 27 <-- original line
slope = (-3)
slope = (-3/1)
inverse = (1/-3)
negative inverse = (1/3)
y = (1/3)x - 27 <-- perpendicular line
(a+b) to the power of two a= -3 and b= 6.
Answers
Answer:
9
Step-by-step explanation:
-3+6 is 3
3*3 is 9
Company XYZ has 97 employees. 31 Of the employees are vegetarian, 36 of the employees owns a Nissan Leaf and 6 of the employees are vegetarian and own a Nissan Leaf. If you randomly select an employee from company XYZ, what is the probability that the employee is vegetarian or that she/he owns a Nissan Leaf?
Answers
Answer: [tex]\dfrac{61}{97}[/tex]
Step-by-step explanation:
Let V = Event of selecting vegetarian employee
N = Event of selecting employee who owns a Nissan Leaf.
Given: Total employees = 97
n(V) = 31
n(N) = 36
n(N and V) = 6
By formula,
n(N or V) = n(V) + n(V) - n(N and V)
= 31+36-6
=61
By probability formula,
[tex]P(N \ or \ V)=\dfrac{n(N\ or\ V)}{Total }\\\\=\dfrac{61}{97}[/tex]
Hence, the probability that the employee is vegetarian or that she/he owns a Nissan Leaf = [tex]\dfrac{61}{97}[/tex]
what is the simplest form
Answers
Answer:
c. 5 time the square root of 3
Please help me. how do you find the slope?
Answers
Answer:
The slope of the line is 4.
Step-by-step explanation:
Remember to keep rise and run over mind. Starting at (-1,0), the line goes up four to (-1, 4) and the runs one point to (-1, 0). Hope this helps!! Please mark as helpful if it was helpful.
Rise over run
Count how many points you go up
Then count how many you go to the side
You rise 4
And run 1
So 4/1
Which is 4
Helllpppp me please!
Answers
Answer:
b. 0.225
Step-by-step explanation:
tan = opposite / adjacent
opposite of A is 9
adjacent of A is 40
9/40=0.225
X/2+3/8=1
What does x equal
Answers
Answer: X = 5/4
X/2 + 3/8 = 1
Subtract 3/8 from both sides.
X/2 = 1 - 3/8
Simplify 1 - 3/8
X/2 = 5/8
Multiply both sides by 2.
X = 10/8
Simplify 10/8
X = 5/4
Answer:
x=5/4
Step-by-step explanation:
Subtract 3/8 from both sides.
Then simplify.
Multiply both sides by 2.
And then simplify again.
Hope this helped! :)
Which one?
A. B. C. Or D.
Answers
Answer:
A)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I think..