Which linear inequality is represented by the graph?
Answer:
The correct options are 1, 3, 5 and 6.
Step-by-step explanation:
The given inequality is
[tex]y<0.5x+2[/tex]
A point is the solution of a linear inequality, if it satisfy the inequality.
The given point is (-3,-2). Check whether this is a solution or not.
[tex](-2)<0.5(-3)+2[/tex]
[tex]-2<0.5[/tex]
This statement is true. Therefore (-3,-2) is a solution.
The given point is (-2,1). Check whether this is a solution or not.
[tex](1)<0.5(-2)+2[/tex]
[tex]1<1[/tex]
This statement is false. Therefore (-2,1) is not a solution.
The given point is (-1,-2). Check whether this is a solution or not.
[tex](-2)<0.5(-1)+2[/tex]
[tex]-2<1.5[/tex]
This statement is true. Therefore (-1,-2) is a solution.
The given point is (-1,2). Check whether this is a solution or not.
[tex](2)<0.5(-1)+2[/tex]
[tex]2<1.5[/tex]
This statement is false. Therefore (-1,2) is not a solution.
The given point is (1,-2). Check whether this is a solution or not.
[tex](-2)<0.5(1)+2[/tex]
[tex]-2<2.5[/tex]
This statement is true. Therefore (1,-2) is a solution.
The given point is (1,2). Check whether this is a solution or not.
[tex](2)<0.5(1)+2[/tex]
[tex]2<2.5[/tex]
This statement is true. Therefore (1,2) is a solution.
Thus the correct options are 1, 3, 5 and 6.
what percent of 2000 is 204
when a number x is multiplied by 4 the result is 2/5 what is the vaule of x
What are the slope and y-intercept for the the graph of y - 7x = 10
What is 0.003 one tenth of ?
error analysis describe and correct the error in writing the word sentence as an inequality. help please
What does a variable mean in an addition expression
(7/8+1/12)- 1/2=
please help me with this
Liang went to the bookstore. he spent 1/3 of his ,oney on a pen and 4/7 of it on books. what fraction of his money did he have left?
Solve the perimeter formula for an isosceles triangle, p=2a+b, solve for b.
Answer:
b= (p)/(2a)
Step-by-step explanation:
What is 4.973 written in expanded form
60% of what number is 360? 10% of what number is 30?
4x7x25=find the product tell which strategy used
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what is the least common multiple of 5 and 10
How do I show work for 5- (a-4) = 3 (a+2)
y=2x - 2 what does it equel
Writing. To. Explain Lola. Does. Dog. Sitting. For. 18hours. Per. Week. In the summer. About how much. Is her. Hourly. Rate. If she earns. $205.50. Per. Week
A number divided by 3.Then 14 is added to the quotient. The result is 33.What is the original number? I did x/3 + 14 = 33. Then i multiplied the 3 on both sides but didn't get the right answer .Help!!
Answer:57
Step-by-step explanation: If you do in calculator 57÷3+14 it equals 33
Jeanette ' s sister charges $5.50 per hour before 9:00 P.M for babysitting and $8 per hour after 9:00 P.M .She finished babysitting at 11:00 P.M and earned $38 . At what time did she begin babysitting ?
True or False: 5a + 6b = 11ab? Can you think of a way you can prove it using a and b?
without dividing or listing multiples how can you tell if 61 is a multiple of 6
What is 9/4 divided by 3/4 and make a model to support it
Find two estimates for 4,396 divided by 4 by rounding the dividend to the nearest hundred and also to the nearest thousand. Compare the estimates.
Answer:
The estimates are 1100 and 1000. Comparing both value you will realize the first estimate is the nearest hundred while the second estimate is the nearest thousand.
Step-by-step explanation:
The dividend of the expression 4,396 divided by 4 is 4396. The question enunciated we round up the dividend to the nearest hundred and thousand before estimating the expression.
4396 to the nearest hundred is 4400. The nearest hundred of 396 is 400.
4396 to the nearest thousand is 4000.
Now, let's do the estimate
4400/4 and 4000/4
1100 and 1000.
The estimates are 1100 and 1000. Comparing both value you will realize the first estimate is the nearest hundred while the second estimate is the nearest thousand.
Television Videl watched 6 times as many hours of television over the weekend as Dineen. Together they watched a total of 14 hours of television. How many hours of television did each person watch over the weekend
The number of hours of television that they both watched will be 2 hours and 12 hours respectively.
Let the number of hours used by Dineen be x.
Therefore, the number of hours that Videl watched will be 6 × x = 6x
Therefore, based on the information given, the number of hours of television watched will be:
6x + x = 14.
7x = 14.
x = 14/7 = 2 hours.
Therefore, 6x = 6 × 2 = 12 hours
Learn more about division on:
https://brainly.com/question/885563
Ellen walks dogs on weekends she gets paid $ 8.50 per hour each day she works 5 hours and 45 minutes does she earn more or less than $85 in one weekend? how much more or less explain.
Answer:
Ellen earns $159.375 more than $85.
Step-by-step explanation:
We have been given that Ellen walks dogs on weekends she gets paid $ 8.50 per hour. Each day she works 5 hours and 45 minutes.
[tex]\text{45 minutes}=\frac{45}{60}\text{ hour}[/tex]
[tex]\text{45 minutes}=0.75\text{ hour}[/tex]
We know that each week has 5 working days.
[tex]\text{Hours worked each week}=5\times 5.75\text{ hours}[/tex]
[tex]\text{Hours worked each week}=28.75\text{ hours}[/tex]
[tex]\text{Earnings each week}=\$8.50\times 28.75[/tex]
[tex]\text{Earnings each week}=\$244.375[/tex]
Since $244.375 is greater than $85, therefore, Ellen earns $159.375 more than $85.
Which is the most reasonable estimate for 23.63 \ 6
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