Answers
Answer:
Irrational.
Step by step explanation:
[tex]\sqrt 6 + \dfrac{2}{3}\\\\\\=\dfrac{3\sqrt 6 +2}{3}\\\\\text{The sum of the these two numbers cannot be expressed as the the ratio of two integers,}\\\\\text{So the sum is not rational.}[/tex]
Related Questions
Find the value of x.
X
4
[?]
X =
Enter the number that belongs in
the green box.
Answers
Answer:
√33
Step-by-step explanation:
it is a right triangle and we use Pythagoras
x² = 7² - 4²
x² = 49 - 16
x² = 33
x = √33
Practise the Skill 5
a) Josie is going to a conference in 48 hours
How many days is this?
Answers
The length of a rectangle is 3m less than double the width, and the area of the rectangle is 65m^2 .
What is the length & width of the rectangle?
Answers
By solving a quadratic equation, we will see that the length is 10m and the width is 6.5m
How to find the length and width of the rectangle?For a rectangle of width W and length L, the area is:
A = W*L
In this case, we know that the area is 65m² and that the length is 3 meters less than 2 times the width, so:
L = 2*W - 3m
Then we can write:
65m² = (2*W - 3m)*W = 2*W² - 3m*W
This is a quadratic equation:
2*W² - 3m*W - 65m² = 0.
The solutions are given by the Bhaskara's formula:
[tex]W = \frac{3 \pm \sqrt{(-3)^2 - 4*2*(-65)} }{2*2} \\\\W = \frac{3 \pm 23 }{4}[/tex]
We only care for the positive solution, which is:
W = (3m + 23m)/4 = 26m/4 = 6.5m
Then the length is:
L = 2*6.5m - 3m = 10m
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When a retired police officer passes away, he leaves $45,000 to be divided among his three children and three grandchildren. The will specifies that each child is to get twice as much as each grandchild. How much does each get?
Answers
The answer that I got is 7 500
Using the change-of-base formula, which of the following is equivalent to the
logarithmic expression below?
log5 13
Answers
Answer:
See below
Step-by-step explanation:
There could be INFINITE possibilities....(you didn't list any choices to choose from)
here is one to change to base 10
log5 ( 13) = log10 ( 13) / log10 ( 5)
Which equation has the same solution as x^2+8x+15 = -4x
2
+8x+15=−4?
Answers
The equation that has the same solution as x² + 8x + 15 = -4x is x = -6± √21.
Step 1 - Move terms to the left
x² + 8x + 15 = -4x
x² + 8x + 15-(-4x) = 0
Step 2 - Combine the terms
x² + 8x + 15 + 4x = 0
x² + 12x + 15 = 0
Step 3 - Apply the quadratic formula
x = (-b ± √(b² - 4ac) )/ 2a
Recall that form our equation:
a = 1
b = 12
c = 15
Thus, x = (-12 √(12² - 4 * 1 *15) )/2 *1
⇒x = -6 ± √21
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Felix chose 3 integers between -10 and 10 at random. He chose the three integers listed below.
-1, 8, 4
Which integer does Felix need to choose next so that the product of all
four numbers chosen is 64?
[A] 2
[B] -2
[C] -1
[D] 4
Answers
Answer: -2
Step-by-step explanation: The answer is -2 because -1 x 8 = -8, and -8 x 4 = -32. Because multiplying two negatives cancels out and becomes positive, we can apply this same principle and figure out that -32 x -2 would give us positive 64. Hope this helps!
The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown in the table below.
Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 400 meter Relay Track Teams
Team A
Team B
Mean
59.32 s
59.1 s
Mean Absolute Deviation
1.5 s
2.4 s
What is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B?
0.09
0.15
0.25
0.65
Answers
The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
The difference between the mean times is about 16 times the mean absolute deviation of the data set.
59.32 - 59.1 = 0.22
2.4 - 1.5 = 0.9
0.22 / 0.9 = 0.25
Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.
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Answer:
c
Step-by-step explanation:
what is the answer to 7 times 6
Answers
Hope that helps!!
Answer:
[tex]7 \times 6 = 42[/tex]
7. What is the value of x?
Answers
Answer:
29
the triangle on the right has 2 sides the same so the lower two corners have the same angle which would be (180-64)/2 = 58 degrees
the lower right angle of the triangle on the left Sadie would be 180-58 = 122.
Since 2 sides of the triangle on the left are the same the other two angles would be equal to each other.
x = (180-122)/2 = 29 degrees
Answer:
x = 29°
Explanation:
The triangle on right side is an isosceles triangle with two similar angles.
Let that angle be z:
⇒ z + z + 64° = 180°
⇒ 2z = 180° - 64°
⇒ 2z = 116°
⇒ z = 58°
After finding z, find the opposite angle:
⇒ 180° - 58° = 122°
Find the value of x:
⇒ x + x + 122° = 180°
⇒ 2x = 180° - 122°
⇒ 2x = 58°
⇒ x = 29°
find the area of the triangle ABC
Answers
Answer:
1/2 x 8 x 6
answer: 24
Step-by-step explanation:
formula of area of triangle= 1/2 x base x height
an elevator descends into a mine shaft at the rate of 6 m/min. if the descent starts from 10m above the ground level, how long will it take to reach -350m.
Answers
Initial height =+10 m
Final Depth =−350 m
Total distance to be descended by the elevator =(−350)−(+10)=−360 m
Given, the time is taken by the elevator to descend −6 m=1 minute
Thus, time taken by the elevator to descend −360 m=
(−6)
(−360)
------- [from the formula : speed=
time
distance
]
Answer =60 minutes
Was this answer helpful?
You have decided to purchase a new computer with the Amtel processor. The new processor is the latest release of the hyperduoraging core threading processors. You local computer store has a computer with this processor and is offering a 36 month installment plan to finance the computer. The store requires no down payment. The salesperson tells you that you can finance the computer with 36 monthly payments of $98.20. Determine the total amount paid.
a.
$3,535.20
c.
$3,256.01
b.
$3,426.31
d.
$3,089.57
Answers
Answer:
A. $3,535.20.
To find the total amount paid, you can simply multiply the monthly payment by the number of payments:
$98.20 x 36 = $3,535.20
The seventh-grade students at Charleston Middle School are choosing one girl and one boy for student council. Their choices for girls are Michaela (M), Candice (C), and Raven (R), and for boys, Neil (N), Barney (B), and Ted (T). The sample space for the combined selection is represented in the table. Complete the table and the sentence beneath it.
Boys
Neil Barney Ted
Girls Michaela N-M
T-M
Candice N-C
T-C
Raven N-R
T-R
Answers
The new sample size based on the information will be B-M, B-C, B-R, 8.
What is a sample size?Sample size is the number of participants or observations that are included in a study. This is usually represented by n.
When the boys and girls are to be chosen, the new sample size based on the information will be B-M, B-C, B-R, 8.
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Answer:
Step-by-step explanation:
B-M, B-C, B-R, 8.
The median height of the players on my basketball team is 6 feet, A inches. What is the shortest that the tallest player on the team could possibly be?
Answers
The heights of all the players above the median could also be 6 feet A inches.
So the shortest height of the tallest person is 6 feet A inches.
For a simple example, what is the median value of 3, 4, 5, 6, 6, 6, 6. The answer is 6, the middle value.
Jill, Ally, and Maria ran the 50-yard dash. Jill ran the race in 6.87 seconds. Ally ran the race in 6.82 seconds. Maria ran the race in 6.93. Who ran the race the fastest? Explain how you can use a place-value chart to find the answer.
Answers
Answer:
Ally
Step-by-step explanation:
The fastest time of the race will be the one lesser in value.
=============================================================
Comparing the tenths place :
⇒ Jill = 8 in the tenths place
⇒ Ally = 8 in the tenths place
⇒ Maria = 9 in the tenths place
Since Maria's time's tenth place value is greater than that of the other two, she had the slowest time.
===========================================================
Comparing the hundredths place (for Jill and Ally) :
⇒ Jill = 7 in the hundredths place
⇒ Ally = 2 in the hundredths place
Since Ally has the lower hundredths' place value, she has the fastest time.
Which of the following numbers is not an integer? A -32 B 80 C 5.81 D 0 O
Answers
Answer: C.5.18 because you cant have a decimal as an integer
Step-by-step explanation: brainliest???
Describe the slope of this line of best fit
Answers
Answer:
there is no line
The milligrams of aspirin in a person's body is given by the equation a = 500*(3/4^t), where t is the number of hours since the patient took the medicine.
In the equation, what does 500 tell us about the situation?
SOMEONE ANSWER PLS!!
Answers
500 represents the initial amount of medication, since when t=0, a=500.
Julie puts 67 blue buttons in a bag. This number is 13 more than half the number of red buttons. The number of yellow buttons is one quarter the number of red buttons. How many yellow buttons are there in the tin?
Answers
Answer:
[tex]13 \times 1 \div 67 [/tex]
el cociente de un numero y 6
Answers
Answer:
No Hablo Espaniol
Step-by-step explanation:
Solve Y/-6 + 5 = 9
It’s Algebra 1
Answers
Answer:
Y = - 24
Step-by-step explanation:
Y/-6 +5=9 /*6 (Multiply the whole equation by the number 6 to eliminate the fraction. That is, you multiply each member of the equation by 6 because 6 is in the denominator of the fraction.
[tex]\frac{Y}{-6} *6=-Y[/tex], [tex]5*6=30[/tex], [tex]9*6=54[/tex]
-Y + 30 = 54
-Y = 54-30
-Y=24 /*(-1)
Y= -24
Solve for the variable: 4+3(x+22)=5x-10
Answers
When we solve the equation, we will get the real answer x=40 as a variable.
First Degree EquationFirst degree equation is a mathematical sentence, which has values represented by letters.
These letters can indicate a variable or an unknown - which at the end of the equation will be the final value.
— To solve this equation, just: apply the distributive property (multiply the terms that are outside the parentheses, for the terms that are inside the symbol).
— Next, let's add the real numbers together. Next, we'll subtract the like terms before the equality, thus moving the common term after the equality by adding.
— Finally, let's divide the equation, thus obtaining the final result.
4 + 3(x + 22) = 5x - 10
4 + 3x + 66 = 5x - 10
70 + 3x = 5x - 10
3x - 5x = -10 - 70
-2x = -80
x = 80 ÷ 2
x = 40
Therefore, the correct value of X in this equation, will be x = 40.
A wholesaler gets 1.5% commision on the total annual sales and a bonus of 2% on the sales above Rs. 20,00,000. If, in a particular yearm the wholesaler recieved as bonus and commision the sum of Rs. 65000 in all, find the total sales of the year.
Answers
The total sales of the year after is Rs. 1857143
How to find the total sales after commission?He gets 1.5% commission on the total annual sales and a bonus of 2% on the sales above Rs. 20,00,000.
Therefore, since he received a bonus, the sale is over Rs. 20,000.
Hence,
let
x = total sales
Therefore,
1.5% of x + 2% of x = 65000
1.5 / 100 × x + 2 / 100 × x = 65000
0.015x +0.02x = 65000
0.035x = 65000
x = 65000 / 0.035
x = 1857142.85714
Therefore,
total sales = Rs. 1857143
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x+2y+3z = 12
x-3y + 4z=27
-x+y+2z=7
Show work
Answers
Answer:
x=1
y=−2
z=5
(heres how i got the answer)
Step-by-step explanation:
x+2y+3z=12
x−3y+4z=27
−x+y+2z=7
Solve x+2y+3z=12 for x.
x=−2y−3z+12
Substitute −2y−3z+12 for x in the second and third equation.
−2y−3z+12−3y+4z=27
−(−2y−3z+12)+y+2z=7
Solve equations for y and z respectively.
y=−3+
5
1
z
z=
5
19
−
5
3
y
Substitute −3+
5
1
z for y in the equation z=
5
19
−
5
3
y.
z=
5
19
−
5
3
(−3+
5
1
z)
Solve z=
5
19
−
5
3
(−3+
5
1
z) for z.
z=5
Substitute 5 for z in the equation y=−3+
5
1
z.
y=−3+
5
1
×5
Calculate y from y=−3+
5
1
×5.
y=−2
Substitute −2 for y and 5 for z in the equation x=−2y−3z+12.
x=−2(−2)−3×5+12
Calculate x from x=−2(−2)−3×5+12.
x=1
The system is now solved.
x=1
y=−2
z=5
Question 2 of 8
Which choice is equivalent to the fraction below?
17/2
O A. 7.12
OB. 7-12
O C. 12 ÷7
O D. 7 ÷ 12
Answers
Answer: [tex]17 \div 2[/tex]
Step-by-step explanation:
[tex]a/b[/tex] is the same thing as [tex]a \div b[/tex]
Name the polygon shape in the picture below.
Answers
Answer:
There are eight sides so it's an octagon
Step-by-step explanation:
48 / 48 hrs Completed, Read watch every Single thing and answer it in comments.
48 / 48 = ?
Answers
Answer:
1
Step-by-step explanation:
48 / 48 = 1
Heart of algebra
If 5=a^x, then 5/a=?
Answers
Step-by-step explanation:
[tex]5 = {a}^{x} [/tex]
[tex] \frac{5}{a} = \frac{a {}^{x} }{a} [/tex]
[tex] \frac{5}{a} = {a}^{x - 1} [/tex]
the distance on a ruler between 8cm and 26cm =
Answers
Answer:
18 cm
Step-by-step explanation:
To find the distance, take the larger number and subtract the smaller number
26 cm - 8 cm
18 cm