The statement true about the system of inequalities solution is option A, all the values of satisfy y ≤ 1/3x -1.
What is system of inequalities?One or more linear inequalities in each of the same two variables make up a system of linear inequalities in two variables. A linear inequality's solution is an ordered pair that resolves all of the system's inequalities, and the inequality's graph is a representation of all of the system's solutions.
Given the graph of the system of inequalities we can see that the inequality y ≤ 1/3x -1, comprises of all the values under the blue shaded region. This region also includes the graph of the second inequality.
Hence, option A is correct as all the values of satisfy y ≤ 1/3x -1.
Learn more about linear inequality here:
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A driver stopped to purchase 27 gallons of gas and paid $62.10. What is the unit rate for gas?
$_______per gallon
Answer:
Each gallon of gas was $2.30
Step-by-step explanation:
find the fourth proportional to 2,3,6
Answer:
9
Step-by-step explanation:
Let the fourth proportional be x Then
2 : 3 :: 6 : x
2/3 = 6 / x
2x = 3 * 6
x = 18 / 2
x = 9
Hope it will help :)
Jonathan says that when you add 7 2 3 to 2 2 3 , you must add the whole numbers together first ( 7 + 2 = 9 ). Then you just add the numerators together ( 2 + 2 = 4 ), and you add the denominators together ( 3 + 3 = 6 ). So the answer is 9 4 6 . Unfortunately, Jonathan's strategy is incorrect. Solve this problem, and then briefly explain the flaw in Jonathan's reasoning.
Answer:
9 4/3
Step-by-step explanation:
Jonathan working:
Add 7 2/3 to 2 2/3
Step 1: you must add the whole numbers together first ( 7 + 2 = 9 ).
Step 2: Then you just add the numerators together ( 2 + 2 = 4 ),
Step 3: you add the denominators together ( 3 + 3 = 6 ).
Step 4: Answer is 9 4/6
Correct workings:
Add 7 2/3 to 2 2/3
Step 1: you must add the whole numbers together first ( 7 + 2 = 9 ).
Step 2: Then you just add the numerators together ( 2 + 2 = 4 ),
Step 3: you pick one of the denominators because they are the same (3)
Step 4: Answer is 9 4/3
Need help ASAP I will give you 10 points
Answer: x=18
Step-by-step explanation:
First distribute:
(18/6)-(x/6)=0
Isolate the x variable:
(18/6)=(x/6)
18=x
whyyyyyy does math suck help meeee plzz
Answer:
3 1/2
Step-by-step explanation:
the equation is 7/8x4/1 and can be rewritten as 7x4/8x1 = 28/8 which simplifies to 3 4/8 or 3 1/2
What is the complete factorization of the polynomial below? x3 + x2 + 4x + 4
Answer:
(x+1)(x+2/)(x-2/)
Step-by-step explanation:
b. Classify the triangle shown by its angles and by its sides.
Answer:
Yes, according to the angles and sides of the hills
Answer:
Answers
1. 40o, obtuse
2. 90o, right
3. scalene
4a. equilateral
4b. isosceles
4c. scalene
5. An acute triangle has 3 acute angles, not just 1. The figure contains a right angle and is therefore a right triangle.
6. obtuse
7. 58o, acute
8. Yes, because the measures add up to 180o.
9. C
10. The triangle would be isosceles, because isosceles triangles have two sides the same length.
Step-by-step explanation:
6=2(y+2) y=?
please help
==========================================================
Explanation:
There are two ways to solve this
The first method will have us distribute the 2 through to each term, then we solve for y
6 = 2(y+2)
6 = 2y+4 .... distribute
2y+4 = 6
2y = 6-4 .... subtract 4 from both sides
2y = 2
y = 2/2 .... divide both sides by 2
y = 1 is the answer
-------------
Or we can solve through this set of steps
6 = 2(y+2)
6/2 = y+2 ...... divide both sides by 2
3 = y+2
y+2 = 3
y = 3-2 .... subtract 2 from both sides
y = 1
Either way, we get the same answer.
-------------
To check the answer, replace every copy of y with 1
Simplifying should lead to 6 on the right side
6 = 2(y+2)
6 = 2(1+2)
6 = 2(3)
6 = 6
Since we get the same thing on both sides, this means the last equation is true. This in turn means the first equation is true when y = 1. Therefore, the solution has been confirmed.
Chad likes to play Bingo at the nearby American Legion Hall. One day he goes into the hall with $14 in his pocket. When he comes out, he has no money left and owes his friend Greg $3.
1. How much money did Chad lose that night?
2. At home, Chad finds $5 in the kitchen drawer. If you include the $3 he owes Greg, how much does Chad have, total?
Answer:
1. $17
2.$2
Step-by-step explanation:
Answer:
1)14+3=17
2)5-3=2
what 20,000 divided by 24 ?
Answer:
833.3333333
Step-by-step explanation:
hope this helps
Step-by-step explanation:
[tex]\qquad\sf\dashrightarrow 20000/24 [/tex]
[tex]\qquad\sf\dashrightarrow 10000/12 [/tex]
[tex]\qquad\sf\dashrightarrow 5000/6 [/tex]
[tex]\qquad\sf\dashrightarrow 2500/3 [/tex]
[tex]\qquad\sf\dashrightarrow 833.3 [/tex]
-2(3x-4)+3x=17 solve for x
Answer:
The answer will be -3
Step-by-step explanation:
Hope this Helped
Answer:
x= -3
Step-by-step explanation:
It is really Easy just Isolate the variable by dividing each factor that don't contain the variable
Help me please answer thanks
PLS HELP 30 PTS!!!Use the coordinate plane to help you identify the length of each leg then use the Pythagorean Theorem to find the length of CD
Type your answer in the box.
Note: Type in only numeric part of the answer. Round your answer to the nearest hundredth.
Example: 12.70
Answer:
it says 15 points not 30
Step-by-step explanation:
Answer:
10.30
Step-by-step explanation:
Pythagorean Theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]. The short leg(a) is 5 units long and the long leg(b) is 9 units long. CD is the hypotenuse, the longest side (c).
[tex]5^{2}[/tex] +[tex]9^{2}[/tex] =[tex]c^{2}[/tex]
25+81=[tex]c^{2}[/tex]
106=[tex]c^{2}[/tex]
[tex]\sqrt{106}[/tex] = [tex]\sqrt{c^{2} }[/tex]
10.29563014 = c
Rounded to the nearest hundredth, 10.30
To check this is correct, the hypotenuse is the longest side, and 10.30 is longer than 5 and 9.
20000 students took a standardized math test. The scores on the test are normally distributed, with a mean score of 85 and a standard deviation of 5. About how many students scored between 90 and 95?
Answer: 2718
Step-by-step explanation:
Given: Mean score = 85
Standard deviation = 5
Let x be the score of a random student that follows normal distribution.
Then, the probability that a student scored between 90 and 95 will be
[tex]P(90< x < 95)\\\\=P(\dfrac{90-85}{5}<\dfrac{x-\mu}{\sigma}<\dfrac{95-85}{5})\\\\= P(1< z< 2)\ \ \ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=P(z<2)-P(z<1)\\\\=0.9772-0.8413\\\\=0.1359[/tex]
The number of students scored between 90 and 95 = 0.1359 x (Total students)
= 0.1359 (20000)
= 2718
Hence, The number of students scored between 90 and 95 = 2718
The perimeter of a square is represented by the expression 32x-12. . Write two equivalent expressions for the perimeter and explain how to find the length of one side. x=3
Answer:
P = 2(l+w) ----------(1)
P = 4l----------- (2)
P= 32x- 12
4l = 32x- 12
l = 8x- 3
One side will be equal to 21 units and the perimeter will be 84 units when x=3.
Step-by-step explanation:
The perimeter is given by the formula
P = 2(l+w) ----------(1)
where p= perimeter , l= length and w= width.
But a square has the length equal to the width so w= l and the formula becomes
P = 2( l+l)
P = 2 (2l)
P = 4l----------- (2)
The perimeter of the square is
P= 32x- 12
or
4l = 32x- 12
dividing the whole equation by 4 we get
l = 8x- 3
So the length of one side can be obtained by dividing the perimeter by 4.
If x= 3
then
l= 8(3)-3
l= 24- 3
l = 21
One side will be equal to 21 units and the perimeter will be 84 units.
P = 4l = 4(21)= 84
Someone plz help me I wil give brainliest
Answer:
The answer is three quarters, one nickel's dime, and a penny!
Step-by-step explanation:
Answer:
Dime- 4
Penny- 1
Half Dollar- 1
Step-by-step explanation:
A dollar is 100 cents and you have 91
91- 50 (half dollar)= 41
41- 1 (one penny)= 40
40- 40 (4 dimes)= 0
Find the value of 9x-5 given that – 2x-3=5.
Simplify your answer as much as possible.
Answer:
The value of 9x - 5 is -41.
Step-by-step explanation:
-2x - 3 = 5
-2x = 5 + 3
-2x = 8
x = -4
9x - 5
= 9(-4) - 5
= -36 - 5
= -41
Mare has a monthly cell phone plan that has a fixed charge of $12 per month plus
$0.30 per text message. Marie wants to spend no more than $40 per month on her
call phone. Which inequality represents the number of text messages, X, that Marie
Please hurry
You need to multiply the cost per text message by the number of messages (x) add that to the fixed charge.
The total of those need to be less than or equal to the amount she wants to spend.
The equation would be written as:
0.30x + 12 <= 40
Jada received a gift of $180. In the first week, she spent a third of the gift money. She continues spending a
third of what is left each week thereafter. Which equation best represents the amount of gift money g, in
dollars, she has after t weeks? Be prepared to explain your reasoning.
Answer:
180 minus 60 equals 120
Step-by-step explanation:
1/3 of 180 equals 60 so you would take 60 out of 180 to get 120 and 120 would be the amount that she spent the rest of the weeks
What is greater 100,000 cm or 1 mi PLEASE HELPPPPPPP
Answer:
1 mile
Step-by-step explanation:
1m =160934 cm
Write an equation and solve: At Trader Joes, Mrs.
Jacobs buys bananas for $0.65 per pound and a
frozen pizza for $4.99. The total for her purchase
was $6.94. How many pounds of bananas did
Mrs. Jacobs buy?
solve the equation r4·r3 = _____
I need help with this question.
Answer:
[tex]13 {z}^{8} [/tex]
Step-by-step explanation:
janet buys 12 pencils for $1.49. what is the cost per pencil?
Answer:
0.124$
...............
you can simply divide the price of the pencils = 1•49$
by the number of pencils bought = 12
1•49/12
= 0•124$
Answer: 0.124166667 U.S. dollars
((1 U.S. dollar) + (49 U.S. cents)) / 12 =
0.124166667 U.S. dollars
expand the following: 4(2x + 1)
Answer:
the equivalent expression is 8x + 4
Step-by-step explanation:
4(2x + 1) = 4x2 = 8 =
8x + 1 = 4x1 = 4 =
8x + 4
To check your work substitute 1
4(2(1) + 1) = 4(2 + 1) = 4(3) = 12
8(1) + 4 = 8+4 = 12
therefore they are both equivalent
hope this helped!
Over the course of 3 days, Calvin spent 10 hours delivering newspapers. He spent the same amount of time each day delivering newspapers. Which of the following equations represents the amount of time Calvin spent delivering papers each day?
A: 3 ÷ 10
B: 10 ÷ 3 =
C:10 ÷ 7 =
D: 7 ÷ 10 =
through (2,3); slope = -2
Answer:
y=-2x+7
Step-by-step explanation:
See image
find the volume of the cube below with a side length of 7.
Answer:
343 square unit is the answer...
Step-by-step explanation:
as a^3 is formula for finding volume where a is 7
On Monday ,bo saw 1/5 of birds listed in his guidebook. on Tuesday he saw 3/5 more of birds. what fraction of the birds in the guidebook did bo see in those two days ?
Answer:
4/5Step-by-step explanation:
That would be 1/5 + 3/5 which equals (1+3)/5 = 4/5
Need help!!!!!! this is for a grade