(13/3) / (-2/1) = (13/3) / (-2) = - 13 / (3 • 2) = -13/6
21.6666666667 can be expressed as the fraction 21 2/3 or 65/3.
13/3 divided by -2/1 is equal to -13/6.
Given that we need to convert 21.6666666667 can be expressed as the fraction and 13/3 divided by -2/1 as a fraction.
To convert the decimal number 2.16666666667 to a fraction, we can multiply both the numerator and denominator by a power of 10 to eliminate the decimal point.
Since there is only one digit after the decimal point, we can multiply by 10.
2.16666666667 x 10 = 21.666666667
Now we have the number 21.666666667 as a whole number. Since there are three repeating digits (6), we can represent them as a fraction over 9 (since 9 is the largest power of 10 that is one less than the number of repeating digits).
21.666666667 = 21 + 0.666666667
= 21 + 6/9
Simplifying the fraction 6/9, we can divide both the numerator and denominator by their greatest common divisor, which is 3.
6/9 = (6 ÷ 3) / (9 ÷ 3)
= 2/3
Therefore, 2.16666666667 can be expressed as the fraction 21 2/3 or 65/3.
For the division problem (13/3) ÷ (-2/1), we can convert it into a multiplication problem by multiplying the first fraction by the reciprocal of the second fraction.
(13/3) ÷ (-2/1) = (13/3) x (1/-2)
Multiplying the numerators and denominators, we get:
(13 x 1) / (3 x -2) = 13 / -6
Therefore, 13/3 divided by -2/1 is equal to -13/6.
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what is the value of a squared + b when a = -2 and b=5
Answer:
The solution is 1
Step-by-step explanation:
(a^2)+b
(-2^2)+5
-4+5
1
Which number sentence is true? O A) 2.3 x 102 > 2000 OB) 3.45 > 1-4.35| OC) 345 > 5:33 825 OD 13
Answer:
D) -2.14< root10 <|-2.8|
Step-by-step explanation:
the value for -2.14 is as plain as you can see, the negative version of 2.14.
The square root of 10 is 3.16227766.
The lines next to -2.8 is asking for the absolute value of -2.8, or the distance between that number and zero. The distance between -2.8 and 0 is positive 2.8, because distance can't be negative.
The 3 numbers taken from the explanations are -2.14, 3.16, and 2.8. Ranking them from least to greatest would give you -2.14, 2.8, 3.16, or -2.14< root10 <|-2.8|
Is the list of numbers a arithmetic sequence?
26,31,36,41,46,…
Answer:
g
have a great day ahead
please mark me as the brainliest
Answer:
[tex]31 - 26 = 36 - 31 = 41 - 36 \\ = 46 - 41 = 5 = d \\ yes \: it \: is \: an \: arithmetic \: sequence[/tex]
Mike and Lilly are working together on a science project. They agreed to
meet halfway between their houses and ride their bikes to the library
together. Approximately how far will Mike and Lilly ride to the library once
they meet each other at the halfway point?
The approximate distance Mike and Lilly will have to travel between halfway point and Library is 7.8 miles.
From the graph :
Mike's coordinate = (-4, 2) Lilly's coordinate = (2, - 2) Library coordinate = (4, 6)Meeting point = Halfway point :
(x1 + x2) /2 ; (y1 + y2) / 2
X - coordinate = (-4 + 2) / 2 = - 2/ 2 = - 1
Y - coordinate = (2 + (-2)) /2 = 0/2 = 0
Hence, meeting point = (-1, 0)
The distance between meeting point and library :
Distance = √[(x2 - x1)² + (y2 - y1)²]
Distance = √[(4 - (-1))² + (6 - 0)²]
Distance = √(25 + 36)
Distance = √61 = 7.8 miles
Therefore, the distance between halfway point and library ls approximately 7.8 miles
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2a-3b for a= 1/2 and b =6
Answer:
- 17
Step-by-step explanation:
Substitute the given values into the expression
2a - 3b
= 2 × [tex]\frac{1}{2}[/tex] - 3 × 6
= 1 - 18
= - 17
Help me simplify the expressions pleaseddees.....!!!! It's in a picccc
Answer:
answer in explanation
Step-by-step explanation:
1. = 7x
2. =10x+ 7y
3. =8A + 10B - 1C
4. = 9M + 13N
5. = 5 x+ 9y + 18z
6. = 6x
7. = 20B
8, = 40C
9. = -18w
Làm tính Nhân:
(x² - 2x + 1)(x- 1)=
Step-by-step explanation:
(x² - 2x + 1)(x- 1)=
(x+1)^2(x-1)
Step-by-step explanation:
(x² - 2x + 1)(x- 1) = x³ - 2x² + x - x² + 2x - 1
= x³ - 3² + 3x - 1
Mr. Chu's cherry tree grew 12 inches in
3
4
of a year. At that rate, how much would it grow in 1 year?
Answer:
16 inches after one year
Step-by-step explanation:
in 3/4 a year tree grew 12 inches
divide by 3
multiply by 4
16 inches
I only need help with the circled ones
Answer:
9. ⅓
12. 1/12
15. 4/25
bye
Step-by-step explanation:
9. ⅔×½=⅓ ( the 2 in the numerator cancel out with the 2 in the denominator).
12. ⅓×¼=¹/(3×4) = ¹/12. (multiply the denominators 3 & 4)
15. ⁴/10×⅖= 4/25. (divide 2 in the numerator with the 10 in the denominator which gives the quoetiont 5) .
hope this helps you.
What is the image of (0,-4) after a dilation by a scale of 1/2 centered at the origin
x
Step-by-step explanation:
hhuieieieoekebebejkeeneieoekeke
7 divided by 55, but every step must be show
Answer:
Step 1:
Start by setting it up with the divisor 7 on the left side and the dividend 55 on the right side like this:
7 ⟌ 5 5
Step 2:
The divisor (7) goes into the first digit of the dividend (5), 0 time(s). Therefore, put 0 on top:
0
7 ⟌ 5 5
Step 3:
Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.
0
7 ⟌ 5 5
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (5 - 0 = 5) and write the answer below.
0
7 ⟌ 5 5
- 0
5
Step 5:
Move down the 2nd digit of the dividend (5) like this:
0
7 ⟌ 5 5
- 0
5 5
Step 6:
The divisor (7) goes into the bottom number (55), 7 time(s). Therefore, put 7 on top:
0 7
7 ⟌ 5 5
- 0
5 5
Step 7:
Multiply the divisor by the result in the previous step (7 x 7 = 49) and write that answer at the bottom:
0 7
7 ⟌ 5 5
- 0
5 5
4 9
Step 8:
Subtract the result in the previous step from the number written above it. (55 - 49 = 6) and write the answer at the bottom.
0 7
7 ⟌ 5 5
- 0
5 5
- 4 9
6
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Z-49+851=100+21z /////////////////////////////////////////////////
Answer:
z=35.1
Step-by-step explanation:
Answer:
z = 351/10 or z = 35.1
Step-by-step explanation:
*Add/subtract numbers: -49 + 851 = 802
z + 802 = 100 + 21z
*Subtract 802 from both sides
z + 802 - 802 = 100 + 21z - 802
*Simplify
z = 21z - 702
*Subtract 21z from both sides
z - 21z = 21z - 702 - 21z
*Simplify
-20z = -702
*Divide both sides by -20
- 20z/20 = - 702/- 20
*Simlify
z = 351/10 or z = 35.1
Please help me solve this ASAP
Answer:
look below
Step-by-step explanation:
going left and right changes the x( first number in each parentheses)
going up and down changes the y (second number in parentheses)
going to the left by 9 means all the first numbers are going in the negative direction (-9)
going up by 12 means the second numbers are going in the positive direction (+12)
take all x values and add -9, take all y values and add 12
X (-15, 13)
Y(-5,12)
Z(-8, 15)
In -10x + y - 5; -10x and y are what?
Answer:
The answer is -20x+1y-5
Step-by-step explanation:
the temperature dropped 4°c every hour for 5 hours. write an integer that represents the change in temperature
Answer:
20°C
Step-by-step explanation:
To find the change in temperature, we can multiply the values given.
4 * 5 = 20°C
Best of Luck!
which is bigger 0.8253 or 0.82?
will give brainliest!!!
Answer:
0.8253
Step-by-step explanation:
because there are numbers after, 0.8253 is bigger. 0.82 doesn't have any numbers after to make it slightly bigger.
Gavin and Jim win some money and share it in the ratio 1:3. Gavin gets £15. How much did Jim get?
Answer:
£7
Step-by-step explanation:
15×203_3[2
w820362
45
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.
d. What is the probability that a randomly selected giraffe will be shorter than 17.5 feet tall?
e. What is the probability that a randomly selected giraffe will be between 16.7 and 17.2 feet tall?
Answer:
Step-by-step explanation:
d.) .7107
e.) .2185
six less than twice a number x is 38 whats the value ofx
Answer:
x=22
Step-by-step explanation:
We would do the opposite so "six less" we would add 6 to 38. 6+38= 44 and "twice a number" we would divide by 2. 44 /2= 22. So the answer would be 22.
Hope this helps! :)
Answer:
Answer is 22
Step-by-step explanation:
38+6=44
44 ÷ 2= 22
:)
What is the answer for 3 4/8 + 1 1/4 + 4/6 in simplest form?
Answer:
5 5/12
Step-by-step explanation:
hoffe das hilft
I NEED HELP PLS LIKE IM FAILING AND I NEED TO GET MY GRADE UP
PLSS
Answer:
1) 350
2) 195.83
Step-by-step explanation:
#1.Tuition fee = $12, 000 per year.
30% of it's being paid off by the scholarship, so she'll have to pay:
[tex] = 12000 - ( \frac{30}{100} \times 12000) [/tex]
[tex] = 12000 - 3600[/tex]
[tex] = 8400[/tex]
She'll have to pay $ 8400 by herself, her savings.
If she's saving $ 8400 for two years, she's actually saving $ 8400 for 24 months!
for one month, it'll be
= 8400/ 24
= $ 350 per month
#2one year fee = $ 10, 700
uncle pays half of it, I.e., 10700/ 2
= $ 5, 350
he gets a grant for $ 3,000
so, the part of the fee he ain't paying
= 5,350 + 3000
= $ 8,350
So, he'll have to save:
= 10,700 - 8,350
= $ 2,350
that is per year,
for per month = 2350/ 12
= $ 195.83
The total cost in dollars, c, to purchase video games online can be found using e function c = 16.95x + 4.75, where x is the number of video games purchased. If at least 4 games but no more than 7 games are purchased online, what is the range of the function for this situation?
Answer:
72.55 ≤ x≤ 123.40
Step-by-step explanation:
c = 16.95x + 4.75,
We have to purchase a minimum of 4 games
Let x = 4
c (4) = 16.95(4) + 4.75
c(4) =67.8+4.75 = 72.55
This is the smallest amount we will spend
The most we will purchase is 7 games
Let x = 7
c (7) = 16.95(7) + 4.75
c(7) =118.65+4.75 = 123.40
This is the largest amount we will spend
The range is
72.55 ≤ x≤ 123.40
PLEASE HELP!
Heather invest $3377 in a retirement account with a fixed annual interest rate of 8% compounded two times per year .how long will it take for the countdowns to reach $14,989.87?
round to the nearest whole year.
It will take 19 years for the countdowns to reach $ 14,989.87
Given that Heather invest $ 3377 in a retirement account with a fixed annual interest rate of 8% compounded two times per year, to determine how long will it take for the countdowns to reach $ 14,989.87 the following calculation must be performed:
Initial value x (1 + interest rate / compounding times) ^ (years x compounding times) = Compound interest
3377 x (1 + 0.08 / 2) ^ 2X = 14,989.87 3377 x 1.04 ^ 2X = 14,989.87 3512.08 ^ 2X = 14,989.87 X = 19
Therefore, it will take 19 years for the countdowns to reach $ 14,989.87.
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How many points of intersection are there between the graphs of the hyperbola and ellipse?
3x2 – 4y2 + 4x – 8y +4= 0
3x2 + y2 + 4x – 3y +4= 0
A.0
B. 1
C. 3
D.4
The point of intersection is the point where two or more functions meet.
The graphs of the hyperbola and ellipse have 0 point of intersection
The given parameters are:
[tex]\mathbf{3x^2 - 4y^2 + 4x - 8y + 4 = 0}[/tex]
[tex]\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 0}[/tex]
To determine the points of intersection, we simply equate both equations.
So, we have:
[tex]\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 3x^2 - 4y^2 + 4x - 8y + 4 }[/tex]
Cancel out the common terms
[tex]\mathbf{y^2 - 3y = - 4y^2 - 8y }[/tex]
Collect like terms
[tex]\mathbf{y^2 +4y^2= 3y - 8y }[/tex]
[tex]\mathbf{5y^2= - 5y }[/tex]
Divide through by 5
[tex]\mathbf{y^2= - y}[/tex]
Divide through by y
[tex]\mathbf{y= -1}[/tex]
The system of equation does not give room to calculate the x-coordinate at the x-axis.
Hence, the graphs of the hyperbola and ellipse have 0 point of intersection
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Answer: 0
Explanation: Took the test
|8w+5|=21
please show work
Answer:
w=-13/4
w=2
Step-by-step explanation:
|8w+5|=21
Step by step solution :
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|8w+5| = 21
STEP
2
:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |8w+5|
For the Negative case we'll use -(8w+5)
For the Positive case we'll use (8w+5)
STEP
3
:
Solve the Negative Case
-(8w+5) = 21
Multiply
-8w-5 = 21
Rearrange and Add up
-8w = 26
Divide both sides by 8
-w = (13/4)
Multiply both sides by (-1)
w = -(13/4)
Which is the solution for the Negative Case
STEP
4
:
Solve the Positive Case
(8w+5) = 21
Rearrange and Add up
8w = 16
Divide both sides by 8
w = 2
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
w=-13/4
w=2
Please no links will mark brainiest for complete and correct answer.
question is in pic below
Answer:
(4x^5)^2 you just need to square 4x^5
Answer:
Step-by-step explanation:
one side = 4x^5
four sides of the square= (4x^5)^2
= (4x^5)* (4x^5)
=16x^10
Gsjsjjsjsjsjsjsjjsjsjsjsh
Answer:
thanks for the point
GGGGGGGGGGGGGGDFHNFJYGJTG
What is the greatest common factor 3x^4, 15x^3 ,21x^2
Answer: 3x^2
Step-by-step explanation: Find the greatest common factor for the numerical part. For 3, 15, and 21 the greatest common factor is 3. Find the GCF for the variable part which is x^2. Multiply 3 and x^2 to get 3x^2.
3. Describe and correct the error
Please ACTUALLY help. I'm begging you to help me!