The lowest terms of fraction are, 5/8
And, The equivalent fraction that has a denominator of 32 is,
⇒ 20 / 32
We have to given that,
To simplify fraction 10/16 to lowest terms and equivalent fraction that has a denominator of 32.
We have,
⇒ 10 / 16
⇒ 10 ÷ 2 / 16 ÷ 2
⇒ 5 / 8
Therefore, The lowest terms of fraction are, 5/8
And, Let the numerator of the fraction with denominator 32 is, x
Hence, It can be written as,
⇒ x / 32
Equivalent to 10/16,
⇒ 10/16 = x/32
⇒ 32 x 10 = 16x
⇒ 320 = 16x
⇒ x = 20
Therefore, The equivalent fraction that has a denominator of 32 is,
⇒ 20 / 32
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What is the slope of the line y=-4
Answer:
The slope is zero
Step-by-step explanation:
y = -4 is a horizontal line
Horizontal lines have a slope of zero
Hello there! The line y=-4 is a horizontal line and the slope of horizontal lines is 0.
Why? Because we calculate the slope using the formula Rise/Run. The rise is 0 (how many units we go up) so no matter what the run is, if we divide 0 by any number, we will get 0 100%.
Hope this helps you!
~Just a joyful teen
[tex]SilentNature :)[/tex]
CORRECT ANDWER GETS BRAINEST! CORRECT ANSWER GETS BRAINEST
Answer:
[tex] - 3 \times \frac{3}{7 } [/tex]
HELPPP PLEASE I GIVE BRAINLIEST
Answer:
3 1/2
Step-by-step explanation:
3/7 = 0.429
1/2 = 0.5
Hopefully this helps!
Brainliest please?
The ratio of boys to girls in a group is 7:3 There are 60 more boys than girls. Work out how many girls are there?
Answer:
45 girls
Step-by-step explanation:
There is 4 more boys than girls in each ratio.
60 boys / 4 = 15 groups where there is more boys
3 (girls) x 15 groups = 45 girls in total
A line passes through (-2,4), (-4, 8), and (n, -4). Find the value of n.
Answer: n = 2 ....... (2, -4)
Step-by-step explanation:
To find n, one must write the equation for the points given, which are (-2, 4) and (-4, 8). Remember, the standard linear equation is y = mx + b, where m is the slope of the line.
To find the slope, refer back to (y2-y1)/(x2-x1), or in this case, (8-4)/(-4+2), which gives us -2
With our slope of -2, we can write the equation as y = -2x+b. Now, we need to find b (the y-intercept) by plugging in a point as (x,y)
Let's use (-4,8) point and plug it into our linear equation: y = -2x+b
to get 8=(-2)(-4) +b
8=8+b
0=b (which means our y-intercept is 0)
Now, our official linear equation is y=-2x
The problem gives us (n, -4) where -4 y, so we plug in -4 as y in the equation to get:
-4=-2x
-4/-2=x
2 = x
And there we go :) I hope this helps!
Answer:
The value of n = 2.
Step-by-step explanation:
Given the following points passing through a line, (-2, 4), (-4, 8), and (n , -4) wherein we must find the value of n:
It helps to determine the equation of the line, using the slope-intercept form: y = mx + b, where:
m = slope (rate of change), which measures the steepness of the line.b = y-coordinate of the y-intercept; it is the point on the graph where it crosses the y-axis. Slope:In order to solve for the slope of the line, use the following slope formula:
[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
Let (x₁, y₁) = (-2, 4)
(x₂, y₂) = (-4, 8)
Substitute these values into the slope formula.
[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
[tex]\displaystyle\mathsf{m =\:\frac{8 - 4}{-4 -(-2)}\:=\:\frac{4}{-4+2}\:=\Frac{4}{-2}\:=\:-2}[/tex]
Hence, the slope of the line is: m = -2.
Y-intercept:Next, we must solve for the y-intercept. Since it is the point where the graph crosses the y-axis, set x = 0 and solve for the value of y.
Use the slope, m = -2, and one of the given points, (-2, 4), and substitute these values into the slope-intercept form to solve for the value of the y-intercept, b:
y = mx + b
4 = -2(-2) + b
4 = 4 + b
Subtract 4 from both sides:
4 - 4 = 4 - 4 + b
0 = b
The y-intercept is: b = 0.
Linear Equation in Slope-intercept Form:Therefore, the equation of the line in slope-intercept form is:
y = -2x + 0 or y = -2x.
Find the value of n in (n, -4)In order to determine the value of n, substitute its corresponding y-coordinate, -4, and substitute into the equation in the previous step:
Set y = -4:
y = -2x
-4 = -2x
Divide both sides by -2 to solve for x:
[tex]\displaystyle\mathsf{\frac{-4}{-2}\:=\:\frac{-2x}{-2}}[/tex]
x = 2
Therefore, the value of n = 2.
PLEASE HELP look at this screenshot is it a, b, c, or d
Answer:
D.
Step-by-step explanation:
Solve T=2x + 3y - z for y.
Answer:
[tex]\frac{T+z-2x}{3}[/tex]=y
Step-by-step explanation:
On solving for y we get -
[tex]$y=\frac{T-2x+z}{3}[/tex]
We have the following expression -
T = 2x + 3y - z
We have to solve for ' y '.
Solve for x : Sin([tex]2n\pi x[/tex]) = 0.785 .On solving, we get -
Sin([tex]2n\pi x[/tex]) = 0.785
Sin([tex]2n\pi x[/tex]) = Sin ([tex]\frac{\pi }{4}[/tex])
2n[tex]\pi[/tex]x = [tex]\frac{\pi }{4}[/tex]
x = [tex]\frac{1}{8n}[/tex]
According to the question, we have -
T = 2x + 3y - z
T - 2x + z = 3y
[tex]$y=\frac{T-2x+z}{3}[/tex]
Hence, on solving for y we get -
[tex]$y=\frac{T-2x+z}{3}[/tex]
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help plz help
send photo
plz
Answer:
See belowStep-by-step explanation:
9 a)
8 + 3/4 = 8.75 cmb)
10 + 5 + 3 = 18 kgc)
1 + 1/5 = 1.2 l10 a)
65 - 1 = 64 cmb)
100 + 100 * 2.5/4 = 162.5 mlc)
20 + 4.2 = 24.2° C(2t)^3 x (3t)^2 is what
Answer:
(23•32t5x)
Step-by-step explanation:
STEP1:
Equation at the end of step1:
(((2t)3) • x) • 32t2
STEP2:
Equation at the end of step2:
(23t3 • x) • 32t2
STEP3:
Multiplying exponential expressions :
3.1 t3 multiplied by t2 = t(3 + 2) = t5
Final result :
(23•32t5x)
List all the positive even numbers less than 10:
look at the table in the problem 4 alex drove a distince between 2 cities in the table.he said that he drove about 2,000 miles.Which cites could Alex have driven between show ur work.Iready math book grade 4
The cities Alex could have drove between whose distance is about 2000 miles when rounded to the nearest thousand are : Chicago to San Francisco and Atlanta to Los Angeles
From the table attached which shows the distance in miles between two cities in the United States :
Distance between Chicago to San Francisco = 2131Distance between Atlanta to Los Angeles = 2173Only the distances between these two cities would give a value of 2000 miles when rounded to the nearest thousand mile
The other distances in the table will round to 1000 miles when rounded to the nearest thousand mile.
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PLEASE HELP ITS MATH THANK YOUUUU
Answer:
99000 millimeters kdknwjdhdiqkwpshd
please help me with this sum
answer:
1) 271
2) 151
3) 169
4) 62
5) 90
What is the value of the expression if q = 6 a n d r = 4
Answer:
66 (lmk if i'm wrong)
Step-by-step explanation:
9x6 + (16-4)
54 +12
66
Estimate to decide if the sum of 314+175 is more or less than 600?
Answer:
less than
Step-by-step explanation:
314+175= 489 round that it would be 500 so it would be less than 600
Please mark me brainliest
Hello there!
The sum of 314 and 175 = 489.
If we round it, we will get 500.
500 is less than 600.
So the sum of 314+175 is less than 600.
Hope this helps you!
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[tex]GraceRosalia[/tex]
I will give brainliest to the right answers
please help
Answer:
C
Step-by-step explanation:
hyun is on a game show. points are added for the correct answer and subtracted for incorrect answers. at the end of the second round he has five points and the third round he loses 5 points how many points does hyun have after the third round ?show your work
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The number of points at the end of second round is :
5 pointsand if he loses all the 5 five points in the third round then the number of point he is left with is :
5 - 5 0 points3/4 divided 2/5
Let me know as fast as possible
Answer:
1 7/8
Step-by-step explanation:
Calculus, derivatives. Please help! Show work, if possible. Thanks! :)
Answer:
y=-x+pi/3+sqrt(3)/2
Step-by-step explanation:
*I assume you are asking for help on part a because the other question is a calculator question.*
We want to find tangent line to y=2sin(x)cos(x) at x=pi/3.
First I prefer to use y=sin(2x). (Double angle identity: sin(2x)=2sin(x)cos(x) .)
Differentiate using chain rule:
y'=2cos(2x)
y' gives us the slope for any tangent along our curve.
So at x=pi/3, the slope is 2cos(2×pi/3)=2cos(2pi/3)=2(-1/2)=-1.
We also need to know a point our line to find the equation of our line.
At x=pi/3, y=sin(2×pi/3)=sin(2pi/3)=sqrt(3)/2.
So a point on our line is (pi/3, sqrt(3)/2).
So by point-slope form of a line we have
y-y1=m(x-x1)
y-sqrt(3)/2=-1(x-pi/3)
Distribute:
y-sqrt(3)/2=-x+pi/3
Add sqrt(3)/2 on both sides:
y=-x+pi/3+sqrt(3)/2
Answer:
y= -x+(pi/3)+(sqrt3)/2
Step-by-step explanation:
The given is y=2sin(x)*cos(x)
to take the derivative we will need to use the constant rule (which says when taking the derivative of any constant multiplied by an expression you take the derivative of the function and multiply it by the constant) and the multiplication rule to get
y'=2(sin(x)*-sin(x)+cos(x)*cos(x))
this would simplify to be
y'=-2sin^2(x)+2cos^2(x)
We then substitute in the given x value to find the slope of the tangent line at that point and get
-2sin^2(pi/3)+2cos^2(pi/3)
which simplifies to
-2*3/4+2*1/4
which is -1
Since we have the slope we need to find the y value to go with the original x so that we have a point to use in point slope form. When we substitute pi/3 into the given equation we get (sqrt 3)/2 and have the point (pi/3, sqrt3/2)
now we write the point slope form equation
y-(sqrt3)/2= -(x-pi/3)
y-(sqrt 3)/2 = -x+pi/3
y= -x+pi/3+(sqrt3)/2
you could simplify the last two terms, but I think it is simplest to understand this way.
For b, enter both equations into graphing software or a calculator
A triangle has side lengths of 14 cm and 7 cm. Which could be the value of the third side, 22 cm or 15 cm?
Answer: 15 cm
Step-by-step explanation: So first, do 14 squared plus 7 sqaured. The answer is 245. And now let’s compare it to 22 cm and 15 cm. 22 squared is 484 and 15 sqaured is 225. 225 is closer to 245 than 484. Therefore, 15 is the correct answer.
if six pencils cost 0.59 how many pencils can you buy for $2.95?
Answer:
5.
Step-by-step explanation:
how?
Divide 2.95 by 0.59 that would equal 5.
Shane rare book collection contains 40 books. He donates 20% of his books to the national libary. he sells 1/4 of his books to a rare book dealer. the remaining he sells online. how many books did he sell online? NO LINKS!
A:8
B:10
C:18
D: 22
There are 31 students in a class and 61.3% of these students passed their Math Applications test. What number of these students passed their test? Round your answer to the nearest whole number if necessary.
Answer:
19
Step-by-step explanation:
Alr so.
what you have to do is first convert yourpercentage into a decimal and to do that you need to move the decimal 2 places to the left like so-
61.3% ---> .613
Next you need to multiply 31 x .613 which gives you 19.003
or 19 Passed :)
enjoy!!!!
Which pairs of rectangles are similar polygons?
Select each correct answer.
Similar polygons will have proportional side lengths. So, let's check each of these using proportions and cross-multiplying.
Proportion: left rectangle length / left rectangle width = right rectangle length / right rectangle width
Top Left Rectangles: Proportional
6.4 / 5.6 = 1.6 / 1.4
8.96 = 8.96
Top Right Rectangles: Not Proportional
10.2 / 6.2 = 5.2 / 1.2
32.24 does not equal 12.24
Bottom Left Rectangles: Proportional
39 / 27 = 13 / 9
351 = 351
Bottom Right Rectangles: Not Proportional
64 / 36 = 8 / 6
288 does not equal 384
Hope this helps!! :)
What is 33.61111111 in fraction form
The correct answer is: " [tex]\frac{33,611}{1,000}[/tex] " .
____________________
Step-by-step explanation:
Based on the assumption that the "1" repeats infinitely; in the given value:
" 33.61111111 ...." ;
_______
Note that the "611" ; after the decimal point; this goes to the "thousandths";
place (is "3 (three) digits long.").
_______
As such; we rewrite the number as:
_______
" [tex]\frac{33.611}{1}[/tex] " ;
and we multiply BOTH the "numerator" And the "denominator" by: "1000" :
_______
→ " [tex]\frac{(33.611)*(1000)}{(1)*(1000)}[/tex] " ;
to get:
→ " [tex]\frac{33611}{1000}[/tex] " ; → which cannot be reduced any further.
_______
The correct answer is: " [tex]\frac{33,611}{1,000}[/tex] " .
_______
Hope this is helpful to you!
Wishing you the best!
_______
The image of point (−3, 5) under translation T is (6, -8). What is the image of point (4, 7) under the same translation?
Answer:
(13,-6)
Step-by-step explanation:
If you are at (-3,5) and you translate T to give you (6,-8), that means you translated (9,-13) because you moved right 9 units in the positive x direction and down 13 units in the negative y direction.
Apply this translation T to (4,7) and you get (13,-6).
Answer:
(13, -6)
Step-by-step explanation:
Firstly, we need to find the translation. This can be achieved by calculating the amount the x and y coordinate shifts. Simply use the following equation:
[tex](x2 - x1, y2 - y1)[/tex]
Where x1 and y1 are the coordinates of the first set and x2 and y2 are the second. Plug the variables in:
[tex](6 - (-3), -8 - 5)\\(9, -13)[/tex]
So the x coordinate is shifted 9 positively and the y coordinate is shifted 13 negatively.
To calculate the new translation of the new point, add the translation onto the given coordinates:
[tex]( 4 + 9, 7 + (-13) )\\(13, -6)[/tex]
So the new point is (13, -6).
Hope this helps!
The shape to the left shows an unfolded cube if the cube is folded and rolled what are all the possible outcomes are they all equally likely?
PLZ HELP
Answer:a
Step-by-step explanation:
A
you do not need a ________ when multiplying fractions and mixed numbers
Answer: you do not need a variable when multiplying fractions and mixed numbers
Step-by-step explanation:
8) Cashews cost $8.90 per pound. If Austin buys 2.45 pounds of cashews, what is the total cost?
Round to the nearest.cent.
$
Answer:
9.00 and 2.00
Step-by-step explanation:
8.90 rounds to 9.00 because 8.90 is more than more then 0.50 so it makes the cents round to the nearest cent. 2.45 round to 2.00 because 2.45 is less than 0.50
how to find slope of (-7,3) and (5,6)
Answer:
The slope is 1/4
Step-by-step explanation:
y2-y1 6-3 3 1
m= —— = —— = —— = ——
x2-x1 5+7 12 4