Michael cut away 3.01 meters of rope.Before that he had 6 meters of rope.How much rope does Michael have left
Answer:
2.99 meters
Step-by-step explanation:
in class of 80 student debre berhan university ,45 are good in mathematics,15 are good in both mathematics and in english,13 are good in both mathematics and psychology,16 are good in both english and psychology only,20 are good in psychology and 9 are good in both of three courses.how many students are not good in any of three courses ?
We want to find the number of students that are not good in any of the courses.
There are 80 students.
45 are good in mathematics
15 are good in both, mathematics and in English
13 are good in both, mathematics and psychology
16 are good in both English and psychology
20 are good in psychology
9 are good in all of the courses.
First, we know that we have:
45 good in math + 20 good in psychology = 65 students good in something.
But we know that:
13 are good in both, mathematics and psychology
This means that there are 13 students that are being counted twice, so we need to subtract 13.
45 + 20 - 13 = 52 students good in something.
Now we know that:
15 are good in both, mathematics and in English
16 are good in both English and psychology
9 are good in all of the courses.
So one would want to also count these students, but notice that these are already good in mathematics or in psychology, so these are already counted.
And we can't see the number of students that are only good with English, so we can conclude that
52 students are good in something.
then 28 students are not good at any of the 3 courses.
If you want to learn more, you can read:
https://brainly.com/question/24350406
Find the area of the triangle with the vertices A (3, -5), B (-2, -7) and C (18, 1) such that A, B and C are collinear.
9514 1404 393
Answer:
0
Step-by-step explanation:
Many authors do not recognize three points on a line as forming a triangle. This is because its area is zero. (The "base" is the length of the line segment; the "height" is the width of the line (zero).)
If a function is defined by the equation y = 1/2x -3/2 , which equation defines the inverse of this function?
Answer:
B
Step-by-step explanation:
Rearrange the equation making x the subject
y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex] ( multiply through by 2 to clear the fractions )
2y = x - 3 ( add 3 to both sides )
2y + 3 = x
Change y back into terms of x with x being the inverse function, that is
y = 2x + 3 → B
A 3-foot piece of brass wire costs $18.00. What is the price per inch?
Answer:
50¢
Step-by-step explanation:
$18.00=1800.
3*12=36
1800/36=50
Answer:
Step-by-step explanation:
the price of per inch is $2
factorize given
[tex]4sin ^{2} \alpha - 5 sin \alpha - 6[/tex]
Step-by-step explanation:
Hey there!
See the attached picture.
Hope it helps!
15. Ankita bought 20 copy for Rs. 25 each. She got profit of Rs.200 while selling it. Find selling price of the copies.
Answer:
S.P = 225
Explanation:
Cost Price = 20 copies for Rs. 25
Selling price = 20 copies for ?
Profit = Rs. 200
Profit = S.P -C.P
Profit + C.P = S.P
200 + 25 = S.P
225 = S.P
Identify any outlier(s) in the data.
{63, 61, 55, 42, 49, 67, 59, 53, 48, 64, 70, 47, 69, 12, 57, 62}
Triangle ABC is similar to triangle DEF with a ratio of 3/5 If the difference of their
perimeters is 40 inches, find the perimeter of each triangle.
9514 1404 393
Answer:
ΔABC -- 60 inchesΔDEF -- 100 inchesStep-by-step explanation:
If P is the perimeter of the larger triangle, then 3/5P will be the perimeter of the smaller one. The difference in perimeters is ...
P -3/5P = 40 in
2/5P = 40 in
P = (5/2)(40 in) = 100 in
3/5P = 3/5(100 in) = 60 in
The smaller triangle perimeter is 60 in; the larger is 100 in.
Solve.
6*7-3^2*9+4^3
Every time I did this, I got -103, and my teacher kept saying it's wrong. Please solve and show your work so I can see what I did wrong .
Answer:
25
Step-by-step explanation:
6*7-3^2*9+4^3
Exponents first
6*7-9*9+64
Multiply and divide from left to right
42 -9*9+64
42 - 81 +64
Add and subtract from left to right
-39 +64
25
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{6\times7-3^2\times9+4^3 }}\\\huge\boxed{\mathsf{= 42 - (9)(9) + 4^3}}\\\huge\boxed{\mathsf{= 42 - 81 + 64}}\\\huge\boxed{\mathsf{= -39 + 64}}\\\huge\boxed{\mathsf{= 25}}}}\\\huge\boxed{\mathsf{Therefore, your\ answer\ is: 25}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
3) Find the range of the function.
f(x) = -x2 - 5
A) [5,-)
B) (-0,5]
[-5,-)
D) (--, -5]
Answer:
Range is (0, -5)
Step-by-step explanation:
[tex]{ \sf{f(x) = - {x}^{2} - 5}}[/tex]
when x is 0:
[tex]{ \sf{f(0) = - 5}}[/tex]
help me pls thanks!!!!!!!
Answer:
7. 0.37
Decimal value is - HUNDREDTHS
Fraction value is - [tex]\frac{37}{100}[/tex]
1.735
Decimal value is - TENTHS
Fraction value is - [tex]\frac{1735}{1000}[/tex]
8. 6.075
Decimal value is - HUNDREDTHS
Fraction value is - [tex]\frac{6075}{1000}[/tex]
27.05
Decimal value is - ONES
Fraction value is - [tex]\frac{2705}{100}[/tex]
9. 0.127
Decimal value is - THOUSANDTHS
Fraction value is - [tex]\frac{127}{1000}[/tex]
3.007
Decimal value is - THOUSANDTHS
Fraction value is - [tex]\frac{3007}{1000}[/tex]
Which expresses 0.025 as a percent?
A- 0.025%
B- 2.5%
C- 0.0025%
D- 0.25%
Answer:
a is the answer I'm 1000% sure
In a class of 80 students in Debre Berhan University, 45 are good in mathematics, 15 are good in both mathematics and English, 13 are good in both Mathematics and Psychology, 16 are good in both English and Psychology only,20 are good in Psychology and 9 are good in both of the three course,then how many students are good in mathematics?
Step-by-step explanation:
No of Student in Debre Berhan University - 80 students
No of student good in mathematics - 45 student'sNo of students good in mathematics and English -15
No of students good in mathematics and psychology -13No of students good in English and psychology -16No of students good in psychology -20no of student good in mathematics -45+15+13
-75therefore no of student good in math is 75 .
pls mark me branilest
Which point is the reflection of (2,-5) on the
y-axis?
A. (-2,5)
B. (5,-2)
C. (-5,2)
D. (-2,-5)
What is 1 1/2 + 3/16
A man spent 58% of his income and the amount left was GHC 210,000.00
find his income.
Answer:
Step-by-step explanation:
$211000 are 100% - 58% = 42% of the (former) income.
Therefore, 1% is 42 times less: 211000/42 = 5023.81,
and the (former) income was 100 times this value, i.e. GHC 502381.
100,000,000, + 500,000,000 equals
700,000,000
y a i ta
Step-by-step explanation:
100,000,000 + 500,000,000 = 600,000,000
uhhhhh help lol find angle
Answer:
129°
Step-by-step explanation:
51+51 =102
360-102=258
258÷2=129
:)
Find the equation of the line perpendicular line displayed below that passes through the point (-3,2). Explain your process. Express your answer in point-slope form
9514 1404 393
Answer:
y -2 = 1/4(x +3)
Step-by-step explanation:
Process: find the negative reciprocal of the slope of the line shown and put the appropriate values into the point-slope equation.
__
The slope of the given line can be found as the ratio of rise to run between the marked points.
m = rise/run = -8/2 = -4 . . . . counting grid squares
The desired line has a slope that is the opposite reciprocal of this:
m' = -1/m = -1/-4 = 1/4
The point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
Then the desired line with slope 1/4 through point (-3, 2) has equation ...
y -2 = 1/4(x +3)
Compute the expected theoretical probability of getting a 6 when you roll a dice once. Explain your answer
g(x)=−3x−4, find g ( 5 ) g(5).
Answer:
-19
Step-by-step explanation:
g(x)=−3x−4
Let x = 5
g(5)=−3*5−4
Multiply
= -15-4
= -19
[tex]g(x) = - 3x - 4 \\ \\ g(5) = - 3(5) - 4\\ \\ x = - 15 - 4 \\ \\ x = - 19[/tex]
Hope it help you
In the figure, x= ?, y= ?, and z= ?
Answer:
x = 95
y = 147
z = 128
Step-by-step explanation:
x can be found by using the exterior angle triangle theorem, where, when you add the two opposite angles, it equals the measure of the exterior angle. In this case, 50 + 45 = 95.
The same theorem can be used to solve for y. 95 + 52 = 147
We see that angle z is composed of a linear pair, and we have one of the angle values, so just do 180 - 52 and you get 128.
Find the solution set
2(x + 4 = 8
Answer:
x=0
Step-by-step explanation:
0+4=4
4x2=8
it's pretty simple once you get the hang of it
Find the differential of the function w=xsin(2yz^4).
The differential of
[tex]w = x \sin(2yz^4)[/tex]
is
[tex]\mathrm dw = \dfrac{\partial w}{\partial x}\,\mathrm dx + \dfrac{\partial w}{\partial y}\,\mathrm dy + \dfrac{\partial w}{\partial z}\,\mathrm dz[/tex]
where the partial derivatives are
[tex]\dfrac{\partial w}{\partial x} = \sin(2yz^4) \\\\ \dfrac{\partial w}{\partial y} = x \cos(2yz^4) \times 2z^4 = 2xz^4 \cos(2yz^4) \\\\ \dfrac{\partial w}{\partial z} = x \cos(2yz^4) \times 8yz^3 = 8xyz^3 \cos(2yz^4)[/tex]
So the differential dw is
[tex]\mathrm dw = \boxed{\sin(2yz^4)}\,\mathrm dx + \boxed{2xz^4 \cos(2yz^4)}\,\mathrm dy + \boxed{8xyz^3 \cos(2yz^4)}\,\mathrm dz[/tex]
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! NOT A MULTIPLE CHOICE!!!
In a hotel building, the lobby is located at sea-level. The first floor is located 18 feet above the lobby, and the basement is located 22 feet below the lobby.
a. Write an inequality to compare the elevations of the first floor and the basement.
b. What is the distance from the lobby to the basement? Write your answer as an absolute value statement.
c. Which is a greater distance from the lobby: the first or basement? Justify your response.
9514 1404 393
Answer:
-22 < 0|-22-0| = 22distance to basement is greaterStep-by-step explanation:
a) If we let B, L, F represent the elevations of the basement, lobby, and first floor, respectively, then we have ...
B = -22
L = 0
F = 18
Your inequality could be either of ...
B < L
-22 < 0
__
b. We're not sure exactly the form you're looking for. Use whichever absolute value statement is appropriate to your needs.
distance = |B -L| = |-22 -0| = |-22| = 22
__
c. The distance from the lobby to the first floor is |18 -0| = 18.
The distance from the lobby to the basement is |-22-0| = 22.
The distance 22 is greater than the distance 18, so the distance to the basement is greater.
_____
Additional comment
The difficulty with this question is not figuring out whether -22 is farther from 0 than is +18. The difficulty is in figuring out the form of the answer that is expected. Without looking at your curriculum materials, we cannot even make an appropriate guess.
A summer camp has 372 campers who will be going on an outing. Estimate the number of vans needed to accommodate the entire camp if each van can comfortably hold 12 passengers. Then calculate the actual number of vans that will be needed
Answer:
31
Step-by-step explanation:
You divide, 372 divided by 12
the actual number of vans needed is 31 vans to accommodate the entire camp. To estimate the number of vans needed to accommodate the entire camp, we can use the concept of rounding up to the nearest whole number.
The number of vans required will be the total number of campers divided by the capacity of each van (12 passengers), rounded up to the nearest whole number.
Estimate:
Number of vans needed =[tex]\(\frac{372}{12}\)[/tex](rounded up to the nearest whole number)
[tex]\(\frac{372}{12} \approx 31\)[/tex]
So, the estimate suggests that around 31 vans will be needed to accommodate the entire camp.
To calculate the actual number of vans needed, we can use the exact division without rounding up.
Actual number:
Number of vans needed = [tex]\(\frac{372}{12} = 31\)[/tex] vans
Thus, the actual number of vans needed is 31 vans to accommodate the entire camp.
To know more about number :
https://brainly.com/question/3589540
#SPJ3
find value of x from the given figure
A town has received about 49 inches of rainfall each year for the last 122 years. About how many inches of rain is this?
Answer:
5,978 inches
Step-by-step explanation:
you multiply 49 inches of rainfall by how many years it's been doing it for and you get 5,978
Which expression is the best estimate of the product 7/8 and 8 1/10
Answer:567/ 80 or 7(which was rounded to the nearest whole number)
Step-by-step explanation:
