The solution set of Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 is x ≤ 21
What is Inequality?Inequalities are expressions that have <, >, ≤ or ≥. Therefore,
let the number = x
Five times the sum of a number and 27 is as follows:
5(x + 27)
Six times the sum of that number and 26 is as follows:
6(x + 26)
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 is as follows:
5(x + 27) ≥ 6(x + 26)
Therefore,
5(x + 27) ≥ 6(x + 26)
5x + 135 ≥ 6x + 156
-x ≥ 21
x ≤ 21
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Answer:
ITS B
Step-by-step explanation:
took the test
Which set represents a Pythagorean triple?
A: 27, 38, 42
B: 33, 44, 55
C: 35, 38. 42
D: 68. 72.81
Answer:
Step-by-step explanation:
B
The set that represents a Pythagorean triple is B: 33, 44, 55
What is a Pythagorean triple ?A Pythagorean triple consists of three positive integers such that the square of the larger one of them is equal to the sum of the squares of the other two .
Let (a, b, c) represents a Pythagorean triple where a, b, c are positive integer and a is the larger one then a² = b² + c²
For A: 27 ,38, 42
Let a = 42 , b= 38 ,c= 27
⇒a² = 42² = 1764
and b² + c² = 38² + 27² = 1444 + 729 = 2173
∴a² ≠ b² + c²
Thus , A: 27 ,38, 42 is not a Pythagorean triple
For B: 33 ,44, 55
Let a = 55 , b= 33 ,c= 44
⇒a² = 55² = 3025
and b² + c² = 33² + 44² = 1089 + 1936 = 3025
∴a² = b² + c²
Thus , B: 33 ,44, 55 is a Pythagorean triple
For C: 35 ,38, 42
Let a = 42 , b= 35 , c= 38
⇒a² = 42² = 1764
and b² + c² = 35² + 38² = 1225 + 1444 = 2669
∴a² ≠ b² + c²
Thus , C: 35 ,38, 42 is not a Pythagorean triple
For D: 68 ,72, 81
Let a = 81 , b= 68 , c= 72
⇒a² = 81² = 6561
and b² + c² = 68² + 72² = 4624 + 5184 = 9808
∴a² ≠ b² + c²
Thus , D: 68 ,72, 81 is not a Pythagorean triple
Therefore, Only set B: 33, 44, 55 represents a Pythagorean triple.
Also, Learn more about Pythagorean triple from the link below:
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Mr. Miller built a rectangular frame for a sandbox in his back yard. He used boards that measured 414 feet for the width and 535 feet for the length. Which shows a reasonable value for the perimeter of the sand box?
Answer:
1898
Step-by-step explanation:
414(2)+535(2)=P
828+1070=P
1898=P
If the height of an object at time t can be represented by
h(t) = -16t2 + 38t + 9, find h(7).
Answer:
-509
Step-by-step explanation:
h(t) = -16t² + 38t + 9
h(7) = - 16(49) + 38(7) + 9
h(7) = -784 + 266 + 9
h(7) = -509
Solution:
It should be noted:
Given equation: h(t) = -16t² + 38t + 9To find h(7), let's find "t" by comparing h(7) and h(t).
Compare h(7) and h(t):
h(7) = h(t)=> h(7)/h = h(t)/h=> 7 = tNow, find h(7) by substituting the value of t into the equation.
Substitute the value of t into the equation:
h(t) = -16t² + 38t + 9=> h(t) = (-16)(t²) + (38)(t) + 9=> h(7) = (-16)(7²) + (38)(7) + 9=> h(7) = -784 + 266 + 9=> h(7) = -509Thus, h(7) is -509.
Which expression could be used to determine the product of 4 and 3?
O )x
(-4)(3)x(-4) (1)
O (-4)(3)+-a()
(x)
+(1
O (3)(-4) (3)
O (3)(-4)+(3)
Answer:
b
Step-by-step explanation:
just took it
Joseph and his family were going to the beach. Joseph's sister was running late so Joseph left their house with his mom. Joseph's dad waited for his sister to get ready and left one hour later driving 75 km/hour in an effort to catch up to Joseph and mom. After
driving for four hours Joseph's dad finally caught up. How fast was Joseph's mom driving?
Select the correct response:
100 km/hour
30 km/hour
60 km/hour
50 km/hour
Answer:
60 km/hr.
Step-by-step explanation:
When Dad caught up the the time he had been driving was 4 hours and the time Mom had been driving was 1 + 4 = 5 hours.
They both drove the same distance, d km.
For Dad:
speed = d / time
75 = d / 4
d = 75 * 4 = 300 km.
Mom took 5 hours to travel this distance, so
Mom's speed was 300 / 5 = 60 km/hr.
Step-by-step explanation:
Answer:
a solid 50 km/hour
Step-by-step explanation:
solve for x: |3x+12|= 18
=====================================================
Work Shown:
|3x+12| = 18
3x+12 = 18 or 3x+12 = -18
3x = 18-12 or 3x = -18-12
3x = 6 or 3x = -30
x = 6/3 or x = -30/3
x = 2 or x = -10
The rule used in step 2 is the idea that if |x| = k, for some positive number k, then x = k or x = -k. One equation breaks into two separate ones. From there we solve each equation for x as normal. Follow PEMDAS in reverse, undoing each operation, to isolate x.
If you're curious why the absolute value breaks into two parts, consider something like |x| = 7. This means x is 7 units away from zero on a number line. There are two possible locations where x could be: 7 and -7. This is one example showing why we get two different results. The same applies to our equation as well, just it's a bit more complicated.
Please help with the bonus. I beg
Answer:
8-8/8+8
Step-by-step explanation:
answer = 8-8/8+8
= 8-1+8
= 7+8
= 15
find the domain and range of 6x+2y=14
Answer:
y= -7+3x
The slope of the line is 3 and the intercept on the y-axis is 7.
Step-by-step explanation:
The slope-intercept form of the equation of a line is y=mx+c, where "m" is the slope of the line and "c" is the intercept of the line on the y-axis.
To find the slope and intercept of 6x+2y=14, you should solve for "y".
From the equation we get;
2y=-6x=14 or dividing each side by 2, we'll get y=3x+7.
Answer:
Domain: (−∞,∞), {x|x∈R}
Range: (−∞,∞), {y|y∈R}
Vocab
Vocabulary Check be
7. Describe area in your own words so h have to like describe what is an area.
Answer:
Area is the total place within the space.
(not sure if that's the best way to describe it.)
Answer:
Area can be defined as the number of square units that cover up the surface of the shape.
Step-by-step explanation:
OUICK PLEASE HELP!!
The rectangles shown below can be folded to make a rectangular prism. To the nearest square centimeter, what is the total surface area of the prism formed by this net?
Answer:
b
Step-by-step explanation:
The answer is A. 1,512 cm^2
what is 5x + 7 and 2x + 3 as a verbal expression
Answer:
Five multiplied by a number increased by seven.
Two multiplied by a number increased my three.
Step-by-step explanation:
6. Moe and Curly went to Best Buy. Moe bought four CDs and five DVDs and
paid $123. Curly bought two CDs and four DVDs and paid $84. What is the
cost of one CD? What is the cost of one DVD?
(Can y’all help me out real quick please)
How do I write my two equations for this??
Answer: one CD cost $12 and one DVD cost $15 .
Step-by-step explanation:
In this situation we will represent the cost o one CD by x and the number of one DVD by y. Four CDs plus five DVDs cost 123 so we will represent it by the equation 4x + 5y = 123
The same or the second part of the statement. 2 CDs plus 4 DVDs cost $84 so we will also represent that by the equation , 2x + 4y = 84
Since we have two equations we will use it to solve or x and y using the elimination method.
4x + 5y = 123
2x + 4y = 84 Multiply the down equation by -2 to eliminate the x variable.
-2(2x + 4y ) = -2(84)
-4x -8y = -168
We will now have the new equations ,
4x + 5y = 123
-4x - 8y = -168 Add both equations to
-3y = -45
y= 15
This means each DVD cost $15 .
Now we will now have to solve for x by plotting in the value of y into the equation .
4x + 5(15) = 123
4x + 75 = 123
-75 -75
4x = 48
x = 12
This also means that one CD cost $12.
Which is the graph of the function f(x) = 1/2x2 + 2x - 6?
Answer:
1/2 x^2 + 2x - 6 = 0
(1/2 x - 1)(x + 6) = 0
zeroes are 2 and -6
so the graph intersects x axis at -6 and 2
The only one to do that is diagram A
Step-by-step explanation:
can someone help please
Answer:
hope it help
Step-by-step explanation:
step by step naYn
Pack-and-Move conducted a study that showed 98% customer satisfaction,
with a standard deviation of 1%. The sample included 25 people who
appeared in one of their commercials, during the past 5 years.
Move-Em-Out conducted a study that showed 92% customer satisfaction,
with a standard deviation of 3%. The random sample consisted of 100 people,
who had recently hired the moving company.
Which of the company claims is more believable and why?
Using sampling concepts, it is found that the correct option is given by:
D. Move-Em-Out because the sample is not biased.
What is sampling?It is when a group is taken from a population, and the data taken from the group can be taken to estimate the data for the entire population. A sample has to be representative of the population, that is, it has to avoid bias.
In this problem, the sample from Pack-and-Move was taken only from people who appeared in their commercials, meaning that the sample is biased, as these people are more likely to report high satisfaction, hence option D is correct.
More can be learned about sampling concepts at https://brainly.com/question/25122507
Which graph represents the equation y = (x + 2)(x-4)?
Answer:
where are the graphs?
Step-by-step explanation:
Solve the equation.
6.4= 4x
Ox=2.4
Ox=1.6
Ox=4
Ox= 10.4
Answer:
x= 1.6
Step-by-step explanation:
2) 14 = x - 8 please help hehe
Answer:
22
Step-by-step explanation:
14+8 just reverse the sign and add the 2 given numbers
Answer: x = 22
Step-by-step explanation: First, add 14 plus 8. 14 = 22 - 8. You should end up with a result of x = 22.
A heptagon has angles that measure 120°, 110°, 140°, 135°, 160°, 100°, and b. What is b?
Answer:
Here,
We know that,
Sum of interior angles of a heptagon=900°
So,
b+120+110+140+135+160+100=900
or, b+765= 900
or, b=900-765
Therefore, b= 135°
Answer:
135
Step-by-step explanation:
Each month, Kim donates the same amount of money to a charity. If
she donates $1,800 in one year, how much does she donate each
month?
There are 12 months in a year.
The relationship between a bacteria population p, in thousands, and time d, in days, since it was measured to be 1,000 can be represented by the equation. Select all statements that are true about the situation. © 2019 Illustrative Mathematics. All Rights Reserved. Select all that apply:A: Each day, the bacteria population grows by a factor of 2B: The equation p=2^d also defines the relationship between the population in thousands and time in daysC: The population reaches 7,000 after log2(7,000) daysD: The expression log2(10) tells us when the population reaches 10,000. E: The equation d=log2(p) represents a logarithmic functionF: The equation 7=log2(128) tells us that the population reaches 128,000 in 7 days
d = log₂p represents a logarithmic function, The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let p represent the bacteria population in thousand after d days.
Since each day, the bacteria population grows by a factor of 2, hence:
[tex]p=2^d[/tex]
Hence, d = log₂p represents a logarithmic function
The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.
Find out more on exponential function at: https://brainly.com/question/12940982
What is the value of m in the equation 4m 2(m 1) = 9m 5? −1 1 7 17.
Answer:
4m +2(m+1) = 9m +5
4m +2m+2 = 9m +5
6m +2 = 9m +5
6m = 9m+3
-3m = 3
m = -1
Step-by-step explanation:
marco needs to buy some cat food.At the nearest store, 3 bags of food cost 17.25$. How much would marco spend on 6 of cat food?
Answer: $34.50
Step-by-step explanation:
If 3 bags of cat food cost $17.50 this means that 6 will be double that or $34.50.
What is he answer for b)
Answer:
70
Step-by-step explanation:
triangle xbc is an isosceles triangle.
there are 180 degrees in a triangle.
angle xbc=55.
so that means angle xcb is also 55.
55+55=110
180-110=70
hope this helps
Is 5 x 3^{x} equal to 15x?
Here's your answer, folks:
Without substitution, yes, here? No.
The value of the substituted numbers is essential to finding the correct answer in algebra.
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
5 x 3 = 15
15 squared or cubed = 15 x 15 || 15 x 15 x 15
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
In that case, 15 times a number could not possibly be equal to 5 x 3 unless x was actually 1, which we do not know.
Answer:
NO
Step-by-step explanation:
5*3^x[tex]\neq[/tex]15x
because 3 is raised to the x power not multiplied by it, so it is not equal
Sylvia buys a case of water that contains 24 bottles and sells x number of bottles to her co-workers. Sam buys a case of water than contains 36 bottles and sells three times as many bottles as Sylvia sold to his co-workers. How many bottles of water did Sylvia sell if they ended up with the same number of bottles of water left over?
It is given that Sylvia sells x number of bottles and Sam sells three times as many bottles as Sylvia sold to his co-workers.
So, number of bottles Sam sold is 3x.
It is also given that, number of remaining bottle Sylvia and Sam have same.
So,
24 - x = 36 - 3x
3x - x = 36 - 24
2x = 12
x = 6
Therefore, Sylvia sells 6 bottles.
Hence, this is the required solution.
Kat's dog runs around the perimeter Of a rectangular field. The diagonal Of the field is 25 yards in length and the field has a length Of 20 yards. HOW many total yards did Kat's dog run?
a On January 1, Rose's bank balance was $200. During the month, she wrote checks for $115.25 and $350.00 and made one deposit of $150.50. Which best represents her checking account balance at the end of the month?
Answer:
LOL she has a negative balance of "-114.75"
Step-by-step explanation:
to solve, all you need to do is "200-115.25-350+150.5"
we subtract the 2 values since she wrote the checks for someone to cash, which would empty from her bank, and then she made a deposit of 150.50, so we add that value.
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What is 5y-3x=5 in slope intercept form
Answer:
y=(5+3x)/5
Step-by-step explanation:
first you need to know what is slope intercept form, if not i can't help.
You need to know the property of it.
3x/5 is the slope and 5/5 is the the y-intercept.
you can try substitute some numbers like x=0, y=0.
hope help but i think you can know it from textbook.
Take y as a subject.
if they are not perpendicular, then the two lines do not intersect.
is this statement true or false and why?
Answer: True, perpendicular lines intersect so if the lines didn’t they wouldn’t be perpendicular
Step-by-step explanation: