Which expression represents a rational number?
StartFraction 5 Over 9 EndFraction + StartRoot 18 EndRoot
Pi + StartRoot 16 EndRoot
StartFraction 2 Over 7 EndFraction + StartRoot 121 EndRoot
StartFraction 3 Over 10 EndFraction + StartRoot 11 EndRoot
Answers
Answer:
[tex]\frac{2}{7}+\sqrt{121}[/tex]
Step-by-step explanation:
Given: expressions
To find: expression that denotes a rational number
Solution:
A number of the form [tex]\frac{p}{q}[/tex] where p and q are integers and [tex]q\neq 0[/tex] is said to be a rational number.
Sum of a rational and irrational number is irrational.
In [tex]\frac{5}{9}+\sqrt{18}[/tex], [tex]\frac{5}{9}[/tex] is a rational number and [tex]\sqrt{18}[/tex] is an irrational number
So, [tex]\frac{5}{9}+\sqrt{18}[/tex] is not a rational number.
In [tex]\pi+\sqrt{16}=\pi+4[/tex], [tex]\pi[/tex] is an irrational number and 4 is a rational number
So, [tex]\pi+\sqrt{16}[/tex] is not a rational number.
In [tex]\frac{2}{7}+\sqrt{121}=\frac{2}{7}+11=\frac{2+77}{7}=\frac{79}{7}[/tex], [tex]\frac{79}{7}[/tex] is a rational number
So, [tex]\frac{2}{7}+\sqrt{121}[/tex] is a rational number
In [tex]\frac{3}{10}+\sqrt{11}[/tex], [tex]\frac{3}{10}[/tex] is a rational number and [tex]\sqrt{11}[/tex] is an irrational number
So, [tex]\frac{3}{10}+\sqrt{11}[/tex] is not a rational number.
Answer:
2 / 7 + 12
Step-by-step explanation:
he is right i just took the test i just wanna help more ..
Related Questions
What is the rate of change between (29,9) and (33,10)?
Answers
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The rate of change is a measure of the slope
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (29, 9) and (x₂, y₂ ) = (33, 10)
m = [tex]\frac{10-9}{33-29}[/tex] = [tex]\frac{1}{4}[/tex] ← rate of change
Can a right triangle have the measurements of 8,11, and 13?
Answers
Answer:
yes it can
Step-by-step explanation:
yes
Answer:
No
Step-by-step explanation:
You need to use the Pythagorean Theorem. This will show you if the ratio between the sides is accurate.
a² + b² = c²
8² + 11² = 13²
64 + 121 = 169
185 ≠ 169
The measurements will not fit in a right triangle.
a researcher creates two random samples, each with sample size of 12. he does not find a statically significant difference between the two groups. which of the following statements is correct? select all that apply a) since random samples were used, the conclusion b) the sample size does not impact results of statistical significance. c) since the sample size is small , the conclusion is likely to be untrue. d) since the sample size of each group is greater than 10, the conclusion is likely to be true
Answers
Answer:
c
Step-by-step explanation:
I think this is right
The total number of eggs in k cartons where each carton contains n eggs. Write this as an expression.
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
It makes more sense if you think about it in numerical terms.
Say if there were 10 eggs per carton and there were 5 cartons, what would you do to find the total?
You would multiply them
It is the same in this case
The expression would be n x k
It can be written as just nk though
Have A Nice Day ❤
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Answer:
k cartons = total number of eggs
1 carton = n eggs
Step-by-step explanation:
Y=3x-16 rate of change?
Answers
Answer:
3
Step-by-step explanation:
in slope-intercept form, the slope is the x's coefficient, which in this case is 3,
so, m=3
Please Help for question 3,4,5,6,7
Answers
Answer:
3. From the graph, g(0) = -1.
4. t(x) = 2x + 5
t(0.5) = 2(0.5) + 5 = 1 + 5 = 6
g(6) = 0 (from graph)
5. 15 = 2x + 5
2x = 10
x = 5
6. g(1) = 0
t(0) = 5
7. t(1) = 7
g(7) = -2
What are the zeros of f(x) = x(x - 7)?
A. x = 7 only
B. x = 0 only
C. x = 0 and x = -7
D. x = 0 and x = 7
Answers
Answer:
The answer would be D
Step-by-step explanation:
The triangles shown below must be congruent
Answers
Answer:
True
Step-by-step explanation:
I'm not 100% but 90%
It is true that the triangles shown in the diagram are congruent triangles.
What are congruent triangles?Two triangles are considered to be congruent triangles if two triangles have similar sizes and shapes. This implies that two triangles are defined to be congruent if the lengths of their individual sides and angles are the same.
The angle-angle-side (AAS) theorem states that when two angles and any side of a triangle are identical to two angles and any side of some other triangle, then the triangles are considered to be congruent triangles.
Therefore, since these assertions are true of the triangles given, we can conclude that the two triangles are congruent triangles.
Learn more about congruent triangles here:
https://brainly.com/question/27222633
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A person can plow all driveways with four wheel drive trucking 3 hours.Using snow blade on lawn tractor neighbor plows same number driveway in 7 hours. How long would it take them to work together
Answers
Answer:
The answer is 10
Step-by-step explanation:
The answer is 10 because you asked how long it would take for them to work altogether,3hrs + 7hrs is 10hrs
10/2=5
The answer should be 5 hours because you average it out. The question you wrote is a bit hard to understand too.
Justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcases. A number line goes from 0 to 36. Suitcase 1's whiskers range from 4 to 30, and the box ranges from 8 to 12. A line divides the box at 9. Suitcase 2's whiskers range from 2 to 20, and the box ranges from 5 to 18. A line divides the box at 7. Which statement is true about the box plots? The data for suitcase 1 have an outlier, but the data for suitcase 2 does not. The data for suitcase 2 have a greater median than the data for suitcase 1. The data for suitcase 1 has a greater interquartile range than the data for suitcase 2. The data for suitcase 2 has a greater range than the data for suitcase 1.
Answers
Answer:
The correct option is;
The data for suitcase 1 have an outlier but the data for suitcase 2 does not
Step-by-step explanation:
Range of a box plot
Interquartile range (IQR) for bot suitcases we have
Here we have for suitcase 1
IQR = Q₃ - Q₁ = 12 - 8 = 4
For suitcase 2
IQR = Q₃ - Q₁ = 18 - 5 = 13
Lower outlier = Q₁ - 1.5×IQR
Higher outlier = Q₃ + 1.5×IQR
For suitcase 1 we have;
Lower outlier = 8 - 1.5×4 = 2 (No lower outlier)
Higher outlier = 12 + 1.5×4 = 18
Hence, whereby the whiskers range from 4 to 30, suitcase 1 has a higher outlier
For suitcase 2 we have;
Lower outlier = 5 - 1.5×13 = -14.5 (No lower outlier)
Higher outlier = 18 + 1.5×13 = 37.5
Hence, whereby the whiskers range from 2 to 20, suitcase 2 has no outlier.
Therefore, the correct option is the data for suitcase 1 have an outlier but the data for suitcase 2 does not.
Answer:A
Step-by-step explanation:
took the test
A potato was launched in the air using a potato gun. The function for the situation was h(t)=-16t^2 +100t+10, where t was the time in seconds and h is the height in ft. What was the maximum height? What was the lowest height of the potato? What was the lowest times that applies to the actual situation? What is the greatest time that applied to the situation? What are the domain and range of the function using set builder notation?
Answers
Answer:
The height equation is:
h(t)=-16t^2 +100t+10
A) To find the maximum height, we must find the time where the velocity is 0, so we must derive it with respect to the time.
v(t) = -2*16*t + 100 = 0
t = 100/(2*16) = 3.125s
Now we put this time in our height equation:
h(3.125s) = -16*3.125^2 + 100*3.125 + 10 = 166.25 ft.
B) The lowest heigth of the potato will be h = 0ft, when the potato hits the ground.
C) the lowest time that works for that function is t = 0s, when the potato is fired by the gun.
D) the maximum time can be finded when the potato hits the ground, afther that point the equation does not work anymore, let's find it,
h(t) = 0 = -16t^2 +100t+10
we can solve it using Bhaskara's equation:
[tex]t = \frac{-100 +- \sqrt{100^2 +4*16*10} }{-2*16} = \frac{-100 +- 103.2}{-32}[/tex]
So the two solutions are:
t = 6.3s
t = -0.1s
We need to chose the positive time, as we already discused that the minimum time that works for the equation is t = 0s.
so here the answer is t = 6.3s
E) the domain is 0s ≤ t ≤ 6.3s
The range is 0ft ≤ h ≤ 166.25 ft.
How do I answer this
Answers
Answer:
Step-by-step explanation:
A. Model is linear
B. y = -16x - 16
(-3, 32) (-2, 16)
(16-32)/(-2 + 3) = -16/1= -16
y - 32 = -16(x + 3)
y - 32 = -16x - 48
y = -16x - 16
To make one cheese sandwich, Tina uses one bread roll and two cheese slices.
Pack of 15 bread rolls
£1.91
Pack of 20 cheese slices
£2.23
She is going to buy enough packs to
have exactly twice as many cheese slices as bread rolls
make more than 100 cheese sandwiches.
Work out the least amount she can spend.
Answers
Answer:
£42.04 is the correct answer.
Step-by-step explanation:
Cost of pack of 15 bread rolls = £1.91
Cost of pack of 20 cheese slices = £2.23
She has to buy exactly twice as many cheese slices as bread rolls.
She has to make more than 100 cheese sandwiches.
Number of bread rolls required for 100 bread rolls.
Minimum 15[tex]\times[/tex]7 = 105 bread rolls are to be bought.
105 bread rolls mean 210 cheese slices but it is a pack of 20 cheese slices.
So, at least 220 cheese slices can be bought.
But, 220/2 = 110 bread rolls are not possible to be bought.
So, at least 120 (15 [tex]\times[/tex] 8 i.e. 8 packs) bread rolls have to be bought and 120 [tex]\times[/tex] 2 = 240 (20 [tex]\times[/tex] 12 i.e. 12 packs) of sandwiches have to be bought.
So, minimum amount to be spent for at least 100 cheese sandwiches
= 1.91 [tex]\times[/tex] 8 + 2.23 [tex]\times[/tex] 12 = £42.04
Answer:
£42.04
Step-by-step explanation:
Simplify the expression completely. −4g+8−5+ 2g
Answers
Answer:
g = 3/2
Step-by-step explanation:
−4g+8−5+ 2g
−4g+ 2g +8-5
-2g + 8 -5
-2g +3
2g = 3
g = 3/2
g = 1 1/2
I need help with these please 3-6 if you can
Answers
Answer:
Step-by-step explanation:
Sara bought a drink for $3 and 5 sandwiches. She spent a total of $23. How much did each sandwich cost?
Answers
Answer:$4
Step-by-step explanation: $23 -$3= $20. Then you divide $20 by the number of sandwiches you have: 20/5= $4 per sandwich
12.
A $20,000 investment earned a simple interest rate of 5.4%. How much interest was earned in one year?
Answers
Answer:
18,920.00
Step-by-step explanation:
discount = x
original price = $20,000
discount% = 5.4%
x/20,000 = 5.4/100
x · 100 = 5.4 · 20,000
100x = 108,000
100x/100 = 108,000/100
x = $ 1,080.00
Sale price = original $ - discount $ = final answer
$20,000 - $1,080 = $18,920.00
Answer:1,080
Step-by-step explanation:
20,000 x .54 equals $1,080
define a power set give short answer plz
Answers
Answer:
In set theory, the power set (or powerset) of a a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set. It is denoted by P(A). Basically, this is the combination of all subsets including null set, of a given set
Brady and 3 friends went to lunch at Mazzio’s Pizza. Their meal cost $32, and they left a 15% tip. How much was the total bill, including tip? Can someone please explain it to me how to do it?
Answers
Answer: $36.8
Step-by-step explanation:
From the question, we are told that Brady and 3 friends went to lunch at Mazzio’s Pizza and that their meal cost $32, and they left a 15% tip. Their total bill will be $32 plus 15% of $32. This can be written mathematically as:
= $32 + (15% of $32)
= $32 + (15/100 × $32)
= $32 + (0.15 × $32)
= $32 + $4.8
= $36.8
Their total bill is $36.8
A weed control company claims that each application of its product eliminates 1/2 of weeds. The number of weeds is modeled by f(x)a0(1/2)*x, where A0 is the initial number of weeds and X is the number of applications. Select the graph of function if there are 50 weeds to eliminate.
Answers
Answer:
C
Step-by-step explanation:
the perimeter of a rectangle is84cm and its length is 6cm longer than its breadth.find the lenth and breadth of the rectangle
Answers
So,the length of rectangle is 24 cm
The breadth of rectangle is 18 cm
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
the breadth is x-6
so,2（x+x-6）=84
you can solve x=20.5
the breadth is 14.5
length is 20.5
PLS HELP, I will mark u brainliest if u help me! first person gets it right and does it first.
Answers
For a 4 by 4 cube, he needs 4 rows 4 high for 16 cubes in each row.
The back row is 3 x 4 = 12, so he needs 4 more for the back row,
The 3rd row he has 8, so needs 8 more.
The 2nd row he has 4 so needs 12 more,
The first row he has 2 so will need 14 more.
Total needed: 4 + 8 + 12 + 14 = 38 more cubes.
What is a name of the line?
A. I
B. KJ
C. J
D. JI
Answers
Answer:
Line JI (Option D)
Step-by-step explanation:
Always take the 2 points of the line to name the line.
Answer:
D. JI
Step-by-step explanation:
The line can be named any of ...
k . . . name shown next to the lineJI . . . two points on the lineIJ . . . two points on the lineOf these, JI is on your choices list.
Ray is buying some ginger roots to brew some fresh ginger ale. The price of the ginger roots is GG, and Ray has a coupon for 10% percent off.
The expression 0.9G represents the price Ray pays for the ginger roots after using the coupon.
What does 0.9 represent in this context?
Answers
Answer:
It represents the price that ray is actually paying. Instead of paying for 100% of the price, he is now only paying for 90%
Step-by-step explanation:
Adam is going to make concrete.
He is going to use:
180 kg of cement
375 kg of sand
1090 kg of stone
Cement, sand and stone are sold in bags:
1 bag cement 25 kg
1 bag sand 22.5 kg
1 bag stone 50 kg
Adam already has:
8 bags of cement
19 bags of sand
20 bags of stone
Work out what bags he needs to buy to make the concrete.
Working must be shown please.
Answers
Answer:
Stone
Step-by-step explanation:
The answer is on the paper.
Answer:
Step-by-step explanation:
Laila pours some rice into a pan to cook for supper. For every 1 cup of uncooked rice, she needs to use 2 cups of water. Which equation could be used to find the amount of water, w, she should use to cook r cups of rice?
Answers
Answer: w=2r
Step-by-step explanation:
so let say the amount of water is y instead of w and the cup of rice is x instead of r.
so if we were to create a table we use the numbers given
x y
1 2 so as the cup of rice increase by 1 cup the amount of water increase
2 4 by two.
3 6 so we know the slope is 2/1 so the equation is w=2r
ME
What are the solutions to the equation (2x - 5)(3x - 1) = 0?
Answers
Answer:
x = 5/2 x = 1/3
Step-by-step explanation:
(2x - 5)(3x - 1) = 0
Using the zero product property
2x- 5 = 0 3x-1 = 0
2x =5 3x = 1
Divide
x = 5/2 x = 1/3
Answer:
6x^2-17x+5
Step-by-step explanation:
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!
Answers
Answer:
A and D
Step-by-step explanation:
4 to the sq rt of -3 over 4 to the sq rt of 1 equals 1/16. A and B also equal 1/16.
See your levels
unu
A 3-pack of plastic rings costs $0.54. What is the unit price?
Answers
Answer:
Each ring costs $.18
Step-by-step explanation:
Select the correct answer
The graph below represents the following system of Inequalities.
which point (x,y) satisfies the given system of inequalities?
please help :)
Answers
Answer:
A
Step-by-step explanation:
Basically we want to find the point that lies in the shaded area and the only one that does so is (2,3).
Answer: A
Step-by-step explanation:
we gotta find the line in the shaded area and
acording to the question the answer must be (2,3).
Hope this helps :)
