Answer:
1 8/9 - 1 2/3 = 2/
9
≅ 0.2222222
Step-by-step explanation:
How do you solve fractions step by step?
Conversion a mixed number 1 8/
9
to a improper fraction: 1 8/9 = 1 8/
9
= 1 · 9 + 8/
9
= 9 + 8/
9
= 17/
9
To find a new numerator:
a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/
9
= 9/
9
b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17
c) Write a previous answer (new numerator 17) over the denominator 9.
One and eight ninths is seventeen ninths
Conversion a mixed number 1 2/
3
to a improper fraction: 1 2/3 = 1 2/
3
= 1 · 3 + 2/
3
= 3 + 2/
3
= 5/
3
To find a new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/
3
= 3/
3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Subtract: 17/
9
- 5/
3
= 17/
9
- 5 · 3/
3 · 3
= 17/
9
- 15/
9
= 17 - 15/
9
= 2/
9
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seventeen ninths minus five thirds = two ninths
The circumference of a circle is 20pi m. find its diameter,in meters
Answer:
20 mStep-by-step explanation:
Circumference formula:
C = πdSubstitute and solve for d:
20π = πdd = 20π/πd = 20
14. A baby weighed 7 lb 3 oz at birth. Four months later, the baby
weighed 13 lb 5 oz. Find the percent of increase in the baby's
weight. Round to the nearest tenth
Answer:
I'm an island boii ️️
please explain it to me that how I gonna answer this : integral of secx I know the answer but how?
Answer:
We know that the derivative of sec x is sec x tan x. Thus, the integral of sec x tan x is sec x. i.e., ∫ sec x tan x dx = sec x + C.
Step-by-step explanation:
The standard trick used to integrate secx is to multiply the integrand by 1 = sec x+tan x. sec x+tan x. and then substitute y = secx + tanx, dy = (secxtanx + sec2 x) dx. ∫ secx dx = ∫ secx sec x+tan x).
15/32×16/27 The / stands for a fraction i would just like help please :)
Answer:
(24 × 3 × 5) / (25 × 33) =
((24 × 3 × 5) ÷ (24 × 3)) / ((25 × 33) ÷ (24 × 3)) =
(24 ÷ 24 × 3 ÷ 3 × 5)/(25 ÷ 24 × 33 ÷ 3) =
(2(4 - 4) × 1 × 5)/(2(5 - 4) × 3(3 - 1)) =
(20 × 1 × 5)/(2 × 32) =
(1 × 1 × 5)/(2 × 32) =
5/(2 × 32) =
5/(2 × 9) =
5/18
solve for q
q/-2+17=13
q=
Answer:
q = 8
Step-by-step explanation:
-q/2 + 17 = 13
subtract 17 from each side to get:
-q/2 = -4
to isolate the 'q', multiply each side by -2 to get:
q = 8
a teacher brought to class a pack of notebooks. if her gives his students 5 notebooks to each, he will have 7 notebooks left. if he tries to give each student 7 notebooks, he will be 5 notebooks short. how many students are there in the class?
Answer:
6 students
Step-by-step explanation:
Let the number of notebooks be $x$ and the number of students be $y.$
If there are 5 notebooks per student, we have:
$x-5y=7$
Simliairly, we have 7 notebooks per person, which is:
$x-7y=-5$
Then, using system of equations, we can add multiply the first equation by $-1$ and then add.
We would have:
$-1(x-7y=-5)=-x+7y=5$
Then, adding gives us:
$2y=12$
$y=6$
There are 6 students in the class.
Let x represent the number of students that are there in the class.
The teacher her gives his students 5 notebooks each, and still has 7 notebooks left.
The number of note books = 5x + 7 (1)
The teacher her gives his students 7 notebooks each, and was 5 notebooks short.
The number of note books = 7x - 5 (2)
Therefore equating equations 1 and 2:
5x + 7 = 7x - 5
7x - 5x = 7 + 5
2x = 12
x = 6
There are 6 students in the class.
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Lines A and B have
the same y-intercept,
but different slopes.
Both slopes are
negative.
PARALLEL PERPENDICULAR OR NEITHER
Answer:
Neither
Step-by-step explanation:
Since line a and b have different slope, it isnt parallel, and since the slopes both negative, its not an opposite reciprocal, so that isnt perpendicular, thus leading to neither
Thanksgiving Dinner Logic Grid Puzzle
Answer:
Step-by-step explanation:
At Splatball Indoor Paintball, it costs $34.95 per person to play, and extra paintballs are available to buy. A group of n friends paid their admission, and also spent $94.95 on 2000 extra paintballs. They spent a total of $374.55. Write and solve an equation to determine n, the number of people in the group.
Answer:
$374.55 - $94.95 = $279.60 = N
$34.95 x 8 = $279.60
N=8
Step-by-step explanation:
Select all the rates equivalent to the rate 3/4 cup per pound
Answer:
Step-by-step explanation:
Multiply the decimal by 100 and write the result with the percentage sign: 0.75 × 100 = 75%.
Select the ordered pair that is a solution to the equation represented by the graph.
Answer:
c
Step-by-step explanation:
Three out of 8 skittles are are green. Which percent represents the fraction of green skittles in total?
Answer:
well like this 3/8
Step-by-step explanation:
3/8 and rest is 5/8 in fraction form
Evaluate the following by writing it as a difference of two squares first:
103^2 − 97^2
Answer:
1200
Step-by-step explanation:
A difference of 2 squares factors in general as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
The correct answer is 1200.
What is the difference between two squares called?Where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.
A difference of 2 squares factors in general is written as
a² - b² = (a - b)(a + b) , then
103² - 97²
= (103 - 97)(103 + 97)
= 6 × 200
= 1200
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#SPJ2
work out the circumference area of glass on top of a cabinet with a diameter of 1.8, using tt=3.4
what are the four functions that are increasing on the interval
Answer:
Tbh i don’t really know
Step-by-step explanation:
Ask someone else
Ann made a scale drawing of a theater. The scale she used was 1 inch : 7 feet. The stage is
28 feet wide in real life. How wide is the stage in the drawing?
inches
Answer:
4 inStep-by-step explanation:
Use ratios and solve:
1 in ÷ 7 ft = x in ÷ 28 ftx = 28/7 inx = 4 inHelp pleaseeee
Correct answers only
Answer: D 10
Step-by-step explanation:
Pls hurry!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It's B.
Step-by-step explanation:
How would you solve for x and y and what are x and y? Not sure what to do.
Answer:
x = 26 2/3
y = 50
Step-by-step explanation:
you could set '2y-3x' equal to '-3x+y+50' because they are vertical angles
2y - 3x = -3x + y + 50
add 3x to each side to get:
2y = y + 50
y = 50
also, we know that (1/2y + 25) + (2y - 3x) = 180 because they form a straight line
3/2y + 25 - 3x = 180
subtract 25 from each side to get:
3/2y - 3x = 155
substitute 50 for 'y' to get:
3/2(50) - 3x = 155
75 - 3x = 155
-3x = 80
x = 26 2/3
If the radius of a circle equals 20 cm find its circumference correct to one decimal place
Answer:
125.66
Step-by-step explanation:
i don't get the one decimal place part but there your answer
At time t = 0, water begins to drip out of a pipe into an empty bucket. After 77 minutes, there are 11 inches of water in the bucket. Write a linear function rule to model how many inches of water w are in the bucket after any number of minutes t.
The linear function rule is W =
Answer:
w = 1/7t
Step-by-step explanation:
Assuming the rate is constant, the function will be ...
w = kt
We can find k using the given values:
11 = k·77
k = 11/77 = 1/7
The linear function rule is w = 1/7·t.
variables combining like terms
16. x+3
17. 5y+3
18. x+5y-5
Answer:
16.3x
17. 8y
18.x+y
I thing these are the answers of these equations
What’s the product of 2.6
Answer:
2×6=12
Step-by-step explanation:
100 POINTS IF U GET THIS RIGHT!
Answer:
●y= mx + c
y = 9x + 1/2
slope m =9
Xavier wants to order CDs online. Each CD costs $17.50 and shipping is $4. He only has $90 to spend.
When you graph a linear equation, it will
form a:
Select one:
a.
curve
O b. square
С.
line
d. all of the above.
Help.
Answer:
straight line, C
Step-by-step explanation:
The graph of a linear function is a straight line. Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.
I hope this helps.
What are the roots of the equation 16x² + 16x + 5 = 0 in simplest a + bi form?
Answer:
Below in bold.
Step-by-step explanation:
Using the quadratic formula :
roots = [-16 +/-√(16^2 - 4*16*5)] / (2*16)
= -0.5 +/- √(-64) /32
= -0.5 +/- 8i/32
= -0.5 + 0.25i and -0.5 - 0.25i
[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]
[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]
[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]
What is the value of p²q² given that p=10 and q=8?
Answer:
6400
Step-by-step explanation:
Substitute the given value into the expression
p²q²
= 10² × 8²
= 100 × 64
= 6400
Step-by-step explanation:
given that p=10
you would times 10 by itself so:
10x10=100
now the same for the q=8
8x8=64
now i think you would have to times 100 with 64 if not than there's your answer
which equals to 6400 (if you times it)
hope that helps
Draw triangle GMT
PLS CREATE DRAWING!! refer to attachment
The angle between sides GM and MT is ∠M.
The 2 sides that include ∠T are MT and GT.
The angle between sides GT and MG is ∠G.
There's not much to say about this, but I can answer questions if you have any.
A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Rashaad measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.
The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.
Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.
Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{11}{4}[/tex]
Tan θ = 2.75
θ = [tex]Tan^{-1}[/tex] 2.75
= 70.0169
θ = [tex]70^{o}[/tex]
Considering triangle formed by the tower and the stake to determine the value of l, we have;
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos [tex]70^{o}[/tex] = [tex]\frac{23}{l}[/tex]
l = [tex]\frac{23}{Cos 70^{o} }[/tex]
= [tex]\frac{23}{0.3420}[/tex]
l = 67.2515
l = 67 feet
The length of the guy wire is 67 feet.
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