Answers
Given:
[tex]\{(x,y)|5x-7y<0, x\in I, y\in I\}[/tex]
To find:
The test point is in the solution set for the linear inequality.
Solution:
The inequality is
[tex]5x-7y<0[/tex]
Here, [tex]x\in I, y\in I[/tex]. It means, both x and y both are integers. So, the option D is incorrect because 1.5 and 3.5 are not integers.
For option A, the point is (-2,-1).
Putting x=-2 and y=-1 in the given inequality, we get
[tex]5(-2)-7(-1)<0[/tex]
[tex]-10+7<0[/tex]
[tex]-3<0[/tex]
This statement is true. So, the point (-2,-1) is in the solution set.
For option B, the point is (-4,-3).
Putting x=-4 and y=-3 in the given inequality, we get
[tex]5(-4)-7(-3)<0[/tex]
[tex]-20+21<0[/tex]
[tex]1<0[/tex]
This statement is false. So, the point (-4,-3) is not in the solution set.
For option C, the point is (-2,-4).
Putting x=-2 and y=-4 in the given inequality, we get
[tex]5(-2)-7(-4)<0[/tex]
[tex]-10+28<0[/tex]
[tex]18<0[/tex]
This statement is false. So, the point (-2,-4) is not in the solution set.
Therefore, the correct option is A.
Related Questions
Leslie bought 5.2 gallons of gas. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Leslie bought?
A 5.72 L
B 1.37 L
B 19.76 L
D 7.1 L
Answers
Answer:
C
Step-by-step explanation:
Solve for y
2(3 + 3y) + y = 11
Answers
2(3 + 3y) + y = 11
First, apply the distributive property:
2(3 + 3y) + y = 11
6 + 6y + y = 11
6 + 7y = 11
Substract 6 from both sides:
6 - 6 + 7y = 11 - 6
7y = 5
Divide both sides by 7:
[tex]\dfrac{7y}{7} = \dfrac{5}{7}[/tex]
[tex]\boxed{y = \dfrac{5}{7}}[/tex]
Answer. The value of y = 5/7.pls help math qucikly
Answers
Answer:
1/3
Step-by-step explanation:
-2/3- (-3/4)
Simplify if needed
Brainliest
Also, 5/6+5/12
Answers
Answer:
[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{1}{12}[/tex]
[tex]\frac{5}{6} + \frac{5}{12} = \frac{5}{3}[/tex]
Step-by-step explanation:
Given
[tex]-\frac{2}{3} - (-\frac{3}{4})[/tex]
Required
Solve:
[tex]-\frac{2}{3} - (-\frac{3}{4})[/tex]
Open bracket
[tex]-\frac{2}{3} - (-\frac{3}{4}) = -\frac{2}{3} +\frac{3}{4}[/tex]
Take LCM
[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{-8+9}{12}[/tex]
[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{1}{12}[/tex]
[tex]\frac{5}{6} + \frac{5}{12}[/tex]
Take LCM
[tex]\frac{5}{6} + \frac{5}{12} = \frac{10+5}{12}[/tex]
[tex]\frac{5}{6} + \frac{5}{12} = \frac{15}{12}[/tex]
Divide by 3/3
[tex]\frac{5}{6} + \frac{5}{12} = \frac{5}{3}[/tex]
How many parts does the net of a cylinder have?
four
three
two
five
Answers
Answer:
the net of a cylinder has 3 parts to it
Answer:
B three
Step-by-step explanation:
The net of a cylinder consists of three parts: One circle gives the base and another circle gives the top. A rectangle gives the curved surface.
A loan of $20,000 is made at 7% interest, compounded annually. After how many years will the amount due reach $41,000 or more?
Answers
Answer:
Step-by-step explanation:
11 years
Using the compound interest formula. :
Final amount, A = 41000 or more
Rate, r = 7% = 0.07
Loan amount, P = 20,000
Number of compounding times per period = 1
A = P(1 + r/n)^nt
41000 = 20000(1 + 0.07)^t
41000/20000 = 1.07^t
2.05 = 1.07^t
t = log(2.05) / log(1.07)
t = 10.609727
t = 11 years
HELP IT EASY PLEASE D::::::
Answers
Answer:
36 inches
Step-by-step explanation:
The area formula for a rectangle is length times width times height
If you fill in the equation with the values given in the picture then your answer is 3
3 times 12 is 36
Is either x=5 or x=3 a solution to 11- x <7
Answers
Answer:
x = 5Explanation:
11 - x < 7
11 minus a number is less than 7Insert 5 into the equation
11 - 5 < 7
Simplify
6 < 7
This is trueInsert 3 into the equation
11 - 3 < 7
Simplify
8 < 7
This is falsex = 5 is a solution to the equation 11 - x < 7- PacificNorthwest
Answer:
x=5 is the correct answer
Step-by-step explanation:
First we start off to see if x=3 could work (put the x value in)
11-3<7
(11-3=8)
8<7 This is false
Now lets try the other one-
11-5<7
(11-5=6)
6<7
The value x=5 is the correct answer
P.S If you don't mind, could I have brainlest? (if you think my answer is the best)
Please help
Solve the equation.
2 x/-10=2/5
Answers
Step by step explanation: 2+ x/-10 = 2/5
⇔ -20 + x = -4
⇔x = 16
Hope this helps(:
A bacteria culture grows at a rate of 16% per hour. If there were 25 bacteria present in the culture to start, how many bacteria are present after one day?
Answers
Step-by-step explanation:
me kuch nhi karunga
When a solid directly changes to gaseous state on heating , without changing to the liquid state , the gaseous material so formed is called?Plzzzzz help meeee
Which correctly lists three places that fresh water is found?
rivers, oceans, lakes
oceans, coastal wetlands, seas
ice sheets, water vapor, rivers
water vapor, streams, oceans
Answers
Answer:
ice sheets water vapor, and rivers
Step-by-step explanation:
vote brainiest if this helped
Answer:
c
Step-by-step explanation:
What is the x- coordinate of the ordered pair that satisfies this system of linear equations?
Answers
1) A ball is dropped from a height of 50 feet. How long after it is dropped will it reach a height of 18 feet?
Answers
Answer: 1.41 seconds
Step-by-step explanation:
The problem gives the initial velocity by saying "dropped." This indicates a velocity of zero. Acceleration can also be found because the object is in free fall. It would experience the acceleration of gravity. We can use the kinematic equation:
[tex](y_f-y_i)=V_it+\frac{1}{2}at^2[/tex]
The velocity term completely cancels because the object was dropped with an initial velocity of 0.
[tex](18-50)=\frac{1}{2} (32.17)t^2\\[/tex]
[tex]-32=-16.085t^2\\t=\sqrt{1.989} =1.41s[/tex]
A number is divided into two parts, such that one part is 10 more than the other, if the two parts are in the ratio 5:3, find the number and the two parts.
Answers
Answer:
Step-by-step explanation:
25:15
5x5=25
3x5=15
Marvin was buying soil for his flower garden. What would be the most reasonable amount of soil he would need to buy for a flower garden? A. 6 grams B. 60 liters C. 60 kilograms D. 6,000 kilograms
Answers
Answer:
60 liters
Step-by-step explanation:
Answer:
C. 60 kilograms
Step-by-step explanation:
The person above me is incorrect because liters is used on liquids
Plzzzzzz helpppppp!!!!!!
Answers
Answer:
h(x) ≤ 5
Step-by-step explanation:
The function and boundaries given are;
h(x) = x + 2, x < 3
And ;
h(x) = -x + 8, x ≥ 3
Now,in the first condition, the maximum value of x will be 2. This means the maximum value of h(x) there is;
h(2) = 2 + 2 = 4
For the second condition, x ≥ 3. Thus, the maximum value of x is 3.
This means that the maximum value of h(x) here is;
h(3) = -3 + 8 = 5
Foe the 2 conditions combined it is clear that the maximum value of h(x) is 5.
Thus,we can say; h(x) ≤ 5
Express 3 kilograms as a fraction of 1800 grams
Answers
Answer:
3000/1800 = 5/3
Step-by-step explanation:
3 kilograms is 3000 grams = 3000/1800 simplified to the smallest is 5/3
sorry if this isn't what you're looking for
I put a random subject but can u please help with this question
Answers
Answer:
Parasitism
Step-by-step explanation:
There are some apples and 8 pears in a basket. Each of them is either green or yellow. There are three more apples than the total number of green fruit. There are 6 yellow pears. How many yellow apples are there in the basket?
Answers
Answer:
5 yellow apples
Step-by-step explanation:
Pears = p ; apples = a
p = 8 ; let Number of apples = x
All fruits are either green or yellow
Total green fruits = x - 3
Number of yellow pears = 6
Green pears = total pears - yellow pears
Green pears = 8 - 6
Green pears = 2
Green fruits = green pears + green apples
x - 3 = 2 + green apples
Green apples = x - 3 - 2
Green apples = x - 5
Apples = green apples + yellow apples
Yellow apples = apples - green apples
Yellow apples = x - (x - 5)
Yellow apples = x - x + 5
Yellow apples = 5
Hence, there are 5 yellow apples
There are 5 yellow apples in the basket.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let a represent green apples, b represent yellow apples, c represent green pears and d represent yellow pears, hence:
There are some apples and 8 pears in a basket:
c + d = 8
There are three more apples than the total number of green fruit:
a + b = a + c + 3
b = c + 3
c = b - 3
There are 6 yellow pears, d = 6. Since:
c + d = 8, hence:
b - 3 + 6 = 8
b = 5
There are 5 yellow apples in the basket.
Find out more on equation at: https://brainly.com/question/2972832
what is the answer
y-11=25-3y
Answers
Answer:
9
Step-by-step explanation:
y-11=25-3y
y + 3y = 25 + 11
4y = 36
y = 36 / 4
y = 9
Hope it will help :)
Which one doesn't belong? 100, 25, 36, 30
Answers
Answer:
Step-by-step explanation:
100 bro
25 = 3x - 5
What does X equal?
Answers
Answer:
The answer is x = 10
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
hoped this helped!
brainly, please?
Answer:
x = 10
Step-by-step explanation:
Step 1: Flip the equation.
3x−5=25
Step 2: Add 5 to both sides.
3x−5+5=25+5
3x=30
Step 3: Divide both sides by 3.
What is the coefficient of the term 12p+9q
Answers
Answer:
The answer is 12.
Step-by-step explanation:
12 is the coefficient because it is the number multiplied by the variable p in the equation.
I hope this helps u! :D
Find the surface area of the triangular pyramid. The side lengths of the base are equal.
8.7 cm
6 cm
10 cm
The surface area is
square centimeters.
Answers
Answer:
522.0
Step-by-step explanation:
10*6=60
60*8.7=522.0
or you can take out the zero either way that's the answer
Answer:
522.0
Step-by-step explanation:
Step-by-step explanation:
10*6=60
60*8.7=522.0
or you can take out the zero either way that's the answer
The distance from Leeds to London is 210 miles. The train
travels at an average speed of 90 mph. If I catch the 9.30 am
train in London, at what time should I expect to arrive in
Leeds?
Answers
Distance = speed x time
Rearrange the formula
Time = Distance/speed
D = 210 miles; S = 90
Time = 210/90 = 2.33 hours
First add 2 hr and then add 0.33333 hr
9:30 + 2 hr = 11:30
Converting 0.33333 into min
0.33 x 60 = 20 min
11:30 + 20 min = 11:50 am
4 In February, Alec had 1,581 visitors to his website. In March, he had 1,321 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? if necessary, round to the nearest tenth of a percent
Answers
Answer:
It is 16.4 %
Step-by-step explanation:
Subtract 1581 and 1321 to get how much it decreased.
It decreased by 260 so find what percent of 1581 is 260.
260/1581 = 0.164 which is 16.4 %
i need help on this pls
Answers
Answer: 10
Step-by-step explanation:
All you have to do to get the bottom number is add the numbers already there
Answer:
The width is equal to 12 meters
Step-by-step explanation:
The Volume equals length x width x height. In our case, we know the length and the height so we can find the width the following way...
V = (l)(w)(h)
[tex]w = \frac{V}{(l)(h)}[/tex]
[tex]w = \frac{288}{(4)(6)}[/tex]
[tex]w = \frac{288}{24}[/tex]
w = 12 m
-1/2(2x-8) distribution
Answers
Answer:
-1x+4
Step-by-step explanation:
-1/2 times 2x equals -1x. -1/2 times -8 equals 4.
Figure ABCD is reflected over the y-axis to obtain figure A′B′C′D′ below: A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5. Which statement best describes the relationship between the two figures? Figure ABCD is similar to figure A′B′C′D′. Figure ABCD is bigger than figure A′B′C′D′. The measure of angle D is equal to the measure of angle A′. The measure of angle D is equal to the measure of angle B′.
Answers
Answer:
A. Figure ABCD is similar to figure A′B′C′D′Step-by-step explanation:
Refer to attached graph
Statements
Figure ABCD is similar to figure A′B′C′D′.
True. Similar sides and congruent angles.Figure ABCD is bigger than figure A′B′C′D′.
False. They have same area.The measure of angle D is equal to the measure of angle A′.
False. D is equal to D'The measure of angle D is equal to the measure of angle B′.
False. D is equal to D'.Answer:
A
Step-by-step explanation: The Person AbovE Is 100% Right and I can't explain this question any better.
PLEASE HELP ME!!!!!!!!!!!!!!!!!
One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.
Answers
Answer:
1.8 gallons
SEE NOTE BELOW*
Step-by-step explanation:
2x10x16=320
2x20x10=400
400+320=720
720÷400=1.8 gallons
NOTE* This would be painting the four walls. If you include the floor and ceiling:
2x16x20=640
720+640=1360
1360÷400=3.4 gallons
The least amount of paint needed to paint the walls of a room in the shape of a rectangular prism is 1.8 gallons (2 gallons approx).
What is rectangular prism?Actually, prisms get their name from the way their faces are shaped. Therefore, a rectangular prism is just a prism with rectangular faces. Although it is a closed, three-dimensional object, two rectangles serve as its foundation.
The formula to calculate the total surface area of a rectangular prism is given as,
TSA of rectangular prism = 2(lb + bh + lh)
Where, l is length, b is breadth and h is the height of the rectangular prism.
Calculation for the paint required for rectangular prism:
The area of the sides of prism to be painted is
Area A = 2×(length×height) + 2×(breadth×height)
Length = 20 feet
Breadth = 16 feet
Height = 10 feet
A = 2×(20×10) + 2×(16×10)
A = 720 sq. feet
Now, the paint need for painting 400 sq. feet is 1 gallon.
Thus, paint required for 720 sq. feet is,
=> 720 ft² / 400 ft² /gal = 1.8 gal
Therefore, for painting rectangular prism, the amount of paint required is 1.8 gal.
To know more about the prism, here
https://brainly.com/question/16803016
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