Answer:
0, -4 and 5
Step-by-step explanation:
Given the inequality
2x + 5 - 3x < 10
Collect the like terms
2x-3x < 10 - 5
-x < 5
multiply both sides by -1
-1(-x) > -1(5)
x > -5
Hence the values that are greater than -5 are 0, -4 and 5
Jaxon’s mother spends more than 2 hours cleaning the house. The inequality x greater-than 2 represents the situation. Which graph represents the inequality?
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the left of the circle is shaded.
A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded.
A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.
Answer:
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.
Step-by-step explanation:
x > 2 is the inequality
It is open circle at 2 as 2 is not included. Shaded to the right of the circle as it should be greater than 2
------------------
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.
Yes, this is the correct option
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the left of the circle is shaded.
No, it should be right not left
A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded.
No, it should be open circle as 2 is not included
A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.
No, it should be open circle and right side to be shaded, not left
Step-by-step explanation:
The correct graph that represents the inequality "x > 2" is:
a) A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.
In the inequality "x > 2," the symbol ">" represents "greater than." This means that we are looking for values of x that are greater than 2.
On a number line, we can represent all the possible values of x. The number line given in option a) ranges from negative 3 to positive 7, covering a range of values.
To represent the condition that x is greater than 2, we need to place a circle on the number line at the value 2.
Since the inequality is strict ("x > 2"), we use an open circle at 2.
An open circle indicates that the point 2 itself is not included in the solution.
Finally, everything to the right of the open circle should be shaded to indicate that any value greater than 2 is a solution to the inequality.
This shading represents all the values of x that satisfy the inequality "x > 2."
Therefore, option a) is the correct graph that represents the inequality "x > 2."
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What’s the slope? Need help plsssss
Find the volume of the cone. Either enter an exact answer in the terms of pi or use 3.14 for pi
Answer:
37.7cm³
Step-by-step explanation:
pi×r² h/3
3.14×2² 9/3
=37.7cm³
In ANOP, the measure of ZP=90°, NO = 72 feet, and PN = 43 feet. Find the measure
of 20 to the nearest degree.
Answer:
37
Step-by-step explanation:
Sin O = Opposite/Hypotenuse = 43/72
O = [tex]Sin^{-1}[/tex](43/72)
O = 36.671 ≅ 37
Answer:
37
Step-by-step explanation:
There are 10 sweets in a bag
4 are red, 2 are green, 3 are yellow,1 is purple
A manufacturer earns Rs4500 in the first month and Rs 6000 in second month. On plotting these points a manufacturer observes a linear function. Find the linear function that fits in data?
Answer:
[tex]f(x) = 1500x +3000[/tex]
Step-by-step explanation:
Given
Represent the months with x and the earnings with y.
So:
[tex](x_1,y_1) = (1,4500)[/tex]
[tex](x_2,y_2) = (2,6000)[/tex]
Required
Determine the linear function
First, calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{6000 - 4500}{2 - 1}[/tex]
[tex]m = \frac{1500}{1}[/tex]
[tex]m = 1500[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 1500(x - 1) + 4500[/tex]
[tex]y = 1500x - 1500 + 4500[/tex]
[tex]y = 1500x +3000[/tex]
As a function, we have:
[tex]f(x) = 1500x +3000[/tex]
XYZ is a triangle in which XY = 11 centimeters and YZ = 15 centimeters. The length of XZ is in whole centimeters and is greater than 20 centimeters. What are the possible lengths of XZ?
Answer:
Possible lengths of [tex]XZ[/tex] are [tex]21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm[/tex]
Step-by-step explanation:
According to triangle inequality theorem,
length of one side is less than the sum of remaining two sides.
Also,
[tex]XY=11\,\,cm\\YZ=15\,\,cm\\XZ>20\,\,cm[/tex]
Therefore,
[tex]20<XZ<15+11\\20<XZ<26[/tex]
The length of [tex]XZ[/tex] is in whole centimeters.
Therefore, possible lengths of [tex]XZ[/tex] are [tex]21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm[/tex]
Two numbers have a sum of 42. One number is 2 more than 3 times the other number. Determine both of the numbers using an algebraic solution.
Answer:
8 and 4
Step-by-step explanation: have a good day g
What is the radius and diameter of the following circle? 11 is the rdius.
Answer:
11 = radius
diameter = 22
Step-by-step explanation:
Radius x 2 = Diameter
Hope that helps!
please help, fill in the 5 blanks
plz amswer this for me
Answer:
$5
Step-by-step explanation:
$14 x 30% (0.30) = $4.2
$14 + $4.2 = $18.2
[tex]\frac{18.2}{4}[/tex] = 4.55
Round to the nearest dollar:
4.55 = 5
Carlo puts tins into small boxes and into large boxes. He puts 6 tins into each small box. He puts 20 tins into each large box. Carlo puts a total of 3000 tins into the boxes so that number of tins in small boxes : number of tins in large boxes = 2:3 Carlo says that less than 30% of the boxes filled with tins are large boxes. Is Carlo correct? You must show all your working.
Answer: Carlo is incorrect
Step-by-step explanation:
3000/(2+3) = 600 (each ratio)
2:3 = 2(600):3(600) = 1200:1800
1200/6 = 200 small boxes
1800/20 = 90 large boxes
290 boxes altogether (large and small)
(large boxes/boxes altogether)x100
(90/290)x100 = 31%
31%>30%
Therefore Carlo is incorrect
You deposit $1200 in an account. The account earns $120 simple
interest in 8 months. What is the annual interest rate? PLS HELP WILL GIVE BRAINLIEST AND ITS DUE SOON
We have to find the unit rate, so we have to divide what you earned in interest by the amount of months.
120/8=15
So you earn $15 per month
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sorry if this doesn't help
HELP ASAP! question in picture! will give brainliest!!
Answer:
C) r=-1/4
Step-by-step explanation:
A patio lounge chair can be reclined at various angles, one of which is illustrated below.
19 in
24 in
IT
Based on the given measurements, at what angle, e, is this chair currently reclined? Approximate to the nearest tenth of a degree.
A. O 37.7°
В.
52.3°
С
38.4°
D
14.7°
Answer:
52.3
Step-by-step explanation:
Sin^-1 = 19/24
Sin = 52.3
State the property.
power property of exponents.
Answer:
The Power of a Power Property states that if an exponent is being raised to another exponent, you can multiply the exponents. You can use this property to solve a problem like (3x2)3.
Step-by-step explanation: The Power of a Power Property states that if an exponent is being raised to another exponent, you can multiply the exponents. You can use this property to solve a problem like (3x2)3.
A stack of paper contains 400 sheets. The volume of the stack is 140.25 cubic inches. Each sheet of paper is identical, with a length of 11 inches and a width of 8.5 inches. Find the height of each sheet of paper. Please put the process.
Answer:
[tex]0.00375\ \text{inches}[/tex]
Step-by-step explanation:
Volume of the stack of paper is 140.25 cubic inches
The length and width of the stack will be equal to that of a single sheet of paper so
[tex]l=11\ \text{inches}[/tex]
[tex]w=8.5\ \text{inches}[/tex]
Let [tex]h[/tex] be the height of the stack.
Volume of the stack would be
[tex]lwh=140.25\\\Rightarrow h=\dfrac{140.25}{lw}\\\Rightarrow h=\dfrac{140.25}{11\times 8.5}\\\Rightarrow h=1.5\ \text{inches}[/tex]
So the stack has a height of 1.5 inches. Now there are 400 sheet of paper in the stack.
Thickness of one sheet of paper is given by
[tex]\dfrac{1.5}{400}=0.00375\ \text{inches}[/tex]
Hence, the height of each sheet of paper is [tex]0.00375\ \text{inches}[/tex].
Jim and Jennifer have excellent credit, and they purchased property with a mortgage. However, they experienced financial difficulty and missed more than three months of payments. Which of the following is the most probable consequence of Jim and Jennifer's late payments?
Answer:
The bank could repossess the property.
Step-by-step explanation:
Took the exam.
Answer:
The bank will reposses
Step-by-step explanation:
Can someone help me please
if p is the smallest of four consecutive even integers what is their sum interms of p.
Answer:
4p + 12
Step-by-step explanation:
p + p+2 + p+4 + p+6 = 4p + 12
The table shows the cost of a vacation package for a given number of people. The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means for the situation.
Answer:
A. The cost is $45 per person.
Step-by-step explanation:
Divide $90 by 2 persons. It gives you $45 and so you could multiply $45 by x number of persons to see the total cost.
A rectangle’s length is three times its width, w. Its area is 243 square units. Which equation can be used to find the width of the rectangle?
w2 = 3(243)
3w2 = 243
4w2 = 243
3w2 = 3(243)
Answer:
3w² = 243
Step-by-step explanation:
Width = w
Length = 3w
Area = 243 square units
length *width = 243
3w * w = 243
3w² = 243
The equation that you can used to determine the width of the rectangle with the given area is: 3w² = 243
What is the Area of a Rectangle?Area = (length)(width)
The given dimensions are:
Width = w unitsLength = 3w unitsArea of rectangle = 343 sq. unitsThe equation to se in finding the width (w) of the rectangle will be:
3w(w) = 243
3w² = 243
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8x + 5y = 27.15
what is x and y?
Answer:
Step-by-step explanation:
Simplifying
8x + 5y = 27.15
Solving
8x + 5y = 27.15
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5y' to each side of the equation.
8x + 5y + -5y = 27.15 + -5y
Combine like terms: 5y + -5y = 0
8x + 0 = 27.15 + -5y
8x = 27.15 + -5y
Divide each side by '8'.
x = 3.39375 + -0.625y
Simplifying
x = 3.39375 + -0.625y
Answer:
Infinite solutions
Step-by-step explanation:
There is no one right answer, plug in numbers for x and you will see
y = -8/5(x) + 27.15/5
work out this eaquation
Answer:
l hope this is helpful to you
2. For a school project, Terence is taking a survey of students' favorite type
of shoe. Which sampling method would likely provide the representative
sample of the students? *
O Survey 10 students in a math class.
O
Survey only the students wearing sandals.
Survey 20 students who play basketball
Survey every 4th student who walks into the cafeteria.
Survey every 4th student who walks into the cafeteria.
NEED HELP!! ASAPPP PLEASEEE 20 POINT Which values are the solutions to the inequality below?
Answer:
81 is the right answer of your question
If the temperature at 7am was (-4) degrees celcius and the temperature rose 17 degrees celcius during the morning, what was the temperature by noon?
Answer:
the temperature is 10 degrees F at 7 pm, and -2 degrees F at 7 am the next morning. How much did the temperature change between 7 pm and 7 am
Answer:
13 degrees celcius
Step-by-step explanation:
-4 + 17= 13
you could also subtract 4 from 17 to find ur answer if it makes more sense to u but I end up with the same result.
hope this helps <3
can you pls help ...........
Answer:
Most likey red about blue
Step-by-step explanation:
D) 9. What is the solution to this equation?
2x + 10 = 28
Answer:
X=9
Step-by-step explanation:
I know this because you can find the answer by doing 28 - 10 which equals 18 and 2 times 9 gets you 18 and would make the equation
( 2 times 9) + 10= 28
18 + 10=28
Take 85 POINTS!!!! PLEASE HELP JUST LOOK THE PICTURE
Answer: the person above has it
Step-by-step explanation: