Answer:
Hello!
Step-by-step explanation:
Ok so for X-y> -3, there are no solutions and for 2x + y<6, there are also no solutions. Hope this helped!
Add. 8x - 7 + 6x + 8
Help. I might be dumb for not knowing this but please help
Answer:
1
Step-by-step explanation:
Answer:
14 x + 1
Step-by-step explanation:
You aren't dumb, your teacher can't teach!
First we must add the x values together:
8x - 7 + 6x + 8
8 + 6 = 14
14x -7 + 8
Now we add the constants (regular numbers):
14x -7 + 8
-7 + 8
14x +1
There we go!
8x -7 + 6x +8
is
14x +1
An arts academy requires there to be teachers for every students and for every . How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has ?
This question is incomplete
Complete Question
An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for every 30 students.
How many students does the academy have per teacher?Per tutor?
How many tutors does the academy need if it has 80 students
Answer:
a) 18 students per teacher
b) 10 students per tutor
c) 8 tutors
Step-by-step explanation:
a) How many students does the academy have per teacher?
5 teachers for every 90 students
Hence,
5 teachers = 90 students
1 teacher = x students
Cross Multiply
5 × x = 1 × 90
5x= 90
x = 90/5
x = 18 students
We have 18 students per teacher
b) How many students Per tutor?
3 tutors = 30 students.
1 tutor = x students
3 × x = 30 × 1
x = 30/3
x = 10 students
We have 10 students per tutor
c) How many tutors does the academy need if it has 80 students
3 tutors = 30 students.
30 students = 3 tutors
80 students = x tutors
Cross Multiply
30 × x = 80 × 3
x = 80 × 3/30
x = 8 tutors
The school needs 8 tutors for 80 students.
A scuba diver dove from the surface of the ocean to an elevation of -59 9/10 feet at a rate of -18.4 feet per minute. After spending 12 minutes at that elevation, the diver ascended to an elevation of -18 9/10 feet. The total time for the dive so far was 19 1/8 minutes. What was the rate of change in the diver's elevation during the ascent? Round your answer to the nearest hundredth.
The rate of change of the diver's elevation was _______ ft/min.
Please include all of the work required to complete the mathematical problem. I would really appreciate it! <3
Answer:
The rate of change of the diver's elevation was 10 53/89 ft./min
Step-by-step explanation:
The given parameters are;
The initial elevation of the diver = 0 feet (Ocean surface level)
The depth to which the diver dove = -59 9/10 feet
The rate at which the diver descended = -18.4 feet/minute
The duration the diver spends at the elevation, t₁ = 12 minutes
The depth to which the diver ascended to = -18 9/10 feet
The total time the diver takes so far in the ocean, [tex]t_{(tot)}[/tex] = 19 1/8 minutes
Therefore, we have;
The time it takes the diver to descend to -59 9/10 feet t₂ = -59 9/10/(-18.4) = 3 47/184 minutes
The duration of the divers ascent = [tex]t_{(tot)}[/tex] - t₁ - t₂ = 19 1/8 - 12 - 3 47/184 = 3 20/23 minutes
The rate of change of the divers elevation in ascent = Distance of elevation/Time
The rate of elevation of the divers elevation in ascent = (-18 9/10 - (-59 9/10))/(3 20/23) = 41/(3 20/23) = 943/89 feet/minute = 10 53/89 feet/minute
The rate of change of the diver's elevation = 10 53/89 ft./min ≈ 10.6 ft./min.
Use the formula (n−2)×180◦ figure out the sum of the angle measures of the Trapezoid.
Answer: 360 degrees
Step-by-step explanation: There are 4 sides in an angle. Substitute that value in for n and u have: (4-2) x180. After doing that, subtract inside the parenthesis and multiply your difference by 180. You should get 360 degrees. I hoped this helped.
Answer:
360!!!!!!!!!!!!!!!!!!!! ;)
Step-by-step explanation:
Julie has a square-shaped driveway with an area of 256 square feet. What are the dimensions of the driveway?
Answer:
16 ft^2
Step-by-step explanation:
If it is a perfect square, all you have to do is find the square root of the area, which in this case, is 16.
Of the 25 fish that Karl caught
from the lake, 7 were trout. The
estimated population of the lake is
6,500 fish. About how many trout
would
you expect to be in the lake?
Answer:
1,820 trout
Step-by-step explanation:
Set up a proportion where x is the number of trout in the lake:
[tex]\frac{7}{25}[/tex] = [tex]\frac{x}{6,500}[/tex]
Cross multiply and solve for x:
25x = 45,500
x = 1820
So, you could expect 1,820 trout to be in the lake.
the sum of three and a number is added to twenty four I need to translate each verbal expression in to a algebraic expression
Answer:
(3+x)+24
Step-by-step explanation:
24+(3+x)
Since addition is communitive, you could take out the parenthesis.
24+3+x
Hope this helps. Have an AWESOME night!!! :)
What is an equation of the line that passes through the point (-2,8) and has a slope 3?
Answer:
y=3x+8
Step-by-step explanation:
Pls help I will give u 50 points
Answer:
y=13.50x
Explanation:
Answer:
Step-by-step explanation:
stop the cappppppppppp
At time t minutes, the position of a body moving along the s-axis is s= t cubed - 27t squared + 200t feet. a. Find the body's acceleration each time the velocity is zero.
Step-by-step explanation:
Given the expression for the position of a body moving along the s-axis expressed as;
[tex]s = t^3-27t^2+200t[/tex]
The acceleration of the body function will be gotten by finding the second derivative of the displacement function as shown;
[tex]\frac{ds}{dt} = 3t^2-2(27)t+200\\ \frac{ds}{dt} = 3t^2-54t+200\\\\\\a = \frac{d^2s}{dt^2} = 2(3)t-54\\a = \frac{d^2s}{dt^2} = 6t-54\\[/tex]
First we need to get the time taken when the velocity is zero.
[tex]Given \ v(t) = \frac{ds}{dt} = 3t^2-53t+200\\at \ v(t) = 0\\0 = 3t^2-54t+200\\[/tex]
factorize;
t = 54±√54²-4(3)(200)/2(3)
t = 54±√2916-2400/2(3)
t = 54±√516/6
t = 54±22.72/6
t = 54+22.72/6 and 54-22.72/6
t = 12.79s and t = 5.21s
Get the acceleration;
at t = 12.79
a = 6t-54
a = 6(12.79)-54
a = 76.74-54
a = 22.74m/s²
at t = 5.21
a = 6t-54
a = 6(5.21)-54
a = 31.26-54
a = -22.74m/s²
Hence the body's acceleration each time the velocity is zero are 22.74m/s² and -22.74m/s²
3(10 - x) = 21
30 -
21
30 - 3x
= 21
- 3x
- 3x
-9
=
X =
Answer:
x=3
hope this answers is ok na
Step-by-step explanation:
I am answering blanks left to right and top to bottom.
3x
30 30
-9
-3 -3
x = 3
Question 3 of 10
What is the measure of RST?
A. 72°
B. 162°
C. 324°
D. 81°
Answer:
D. 81
Step-by-step explanation:
This answer was confirmed by two people in the comments.
What I did to get this answer was subtract 162 by 81 so the math that I did was to make sure I got the same number as the answers.
[tex]162-81=81[/tex] ☑
[tex]162-72=90[/tex] ☒
[tex]162-162=0[/tex] ☒
[tex]162-324=-162[/tex] ☒
So, therefore the answer is [tex]81[/tex].
I hope this helped you. :)
what is the akis of symmetry
y=2x^2-8x+1
Answer:
2
Step-by-step explanation:
A ball is dropped from a height of 8 feet. If every time it bounces, it bounces 60% of its previous height, what is the total distance traveled by the ball?
Answer:
20feetStep-by-step explanation:
Initial height of the ball = 8feet
If it bounces 60% of its previous height, its new height will be;
60% of 8
= 60/100 * 8
= 480/100
= 4.8 ft
If it bounces 60% of its current distance, new height will be expressed as;
60% of 4.8
= 0.6 * 4.8
= 2.88
The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...
In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;
S∞ = a/1-r where;
a is the first term = 8
r is the common ratio
[tex]r = \frac{4.8}{8} = \frac{2.88}{4.8}\\r = 0.6[/tex]
Substitute into the formula;
S∞ = a/1-r
S∞ = 8/1-0.6
S∞ = 8/0.4
S∞ = 20feet
Hence the total distance traveled by the ball is 20feet
i need some help please
Answer: 2.4 x 10^8
Step-by-step explanation:
Answer: 2.4x10^8
Step-by-step explanation:start from the end and move the decimal point all the time way up to the middle of 2 and 4 and u move 8 times to get there which is how we got the exponent 8
identify the property of equality which yields step 4
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]Division \: \: \: Property[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( A )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
408 = 12x + 16y solve for both x and y?
Answer:
Slope= − 1.500/2.000
= -0.750
x intercept= 102/3
= 34
y−intercept= 102/4
= 51/2
= 25.50000
Step-by-step explanation:
sorry if this is wrong, I tried!
Miguel bought 4 pounds of walnuts for $10.92. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x?
2.73
For each pound of walnuts, it costs $2.73.
All you have to do is divide 10.92 by 4.
How many positive divisors does the number 24 have?
The question is in the image! Please help if u can its due really soon
Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
please help , giving brainliest, ONLY NUMBER 2
Answer:
-10
Step-by-step explanation:
a number with a negative exponent can always be written using positive exponents in fraction form. the numerator will always be ___
please finish the sentence
Answer:
1
Step-by-step explanation:
i did this in 8th grade so last year. trust me
can i get brainlest
25+25= so first u want to add 5+5so that equals 10 so u put the one on the top of 2 then u add2+2+1 so that equals 5 so ur answer would be 50
Answer:
So you pretty much just solved your math by yourself :)
Step-by-step explanation:
Which of the following best describes the function graphed below? (1 point) A graph shows a straight slanting line that starts at a point on the y-axis and goes down to touch the x-axis. Question 14 options: 1) Nonlinear increasing 2) Nonlinear decreasing 3) Linear increasing 4) Linear decreasing
Answer:
linear decreasing
Step-by-step explanation:
cause it is a straight line and it's going down so it's decreasing.
Answer:
linear decreasing
Step-by-step explanation:
the answer that will appear before mine is right
Bob uses 16 planks of wood to make 4 beehives. How many planks of wood will he need to make 9 beehives?
Answer:
36
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HELP!!BRAINLIEST AND 10 POINTS !! <3 ALSO THIS SAYS -X SO PLEASE HELP WITH THAT !! THANK YOU
If m 3 = 74 degrees, find each measure
Answer:
A
Step-by-step explanation:
Answer:
m∠4 = m∠3 = 74° (vertically opposite angles are equal)
m∠8 + m∠3 = 180° (linear pair)
m∠8 + 74° = 180°
m∠8 = 180° - 74°
m∠8 = 106°
m∠7 = m∠8 = 106° (vertically opposite angles are equal)
m∠2 = m∠3 = 74° (alternate interior angles are equal)
m∠1 = m∠2 = 74° (vertically opposite angles are equal)
m∠6 + m∠1 = 180° (linear pair)
m∠6 + 74° = 180°
m∠6 = 180° - 74°
m∠6 = 106°
m∠5 = m∠6 = 106° (vertically opposite angles are equal)
hope it helps you❤
£800 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three times as much as Stephen. How much does Richard get?
Answer:
Richard gets £240
Step-by-step explanation:
Let
Stephen's share = x
Richards share = 3x
Natasha's share = 2(3x)
Total money = £800
Total money = Stephen's share + Richards share + Natasha's share
800 = x + 3x + 2(3x)
800 = 4x + 6x
800 = 10x
Divide both sides by 10
x = 800 / 10
= 80
x = £80
Stephen's share = x = £80
Richards share = 3x
= 3(80)
= £240
Natasha's share = 2(3x)
= 2(240)
= £480
Richard gets £240
Randy bought 6 candy bars for $7.20. What is the cost per candy bar? PLS HELP FAST IT IS WORTH 45 POINTS AND MY GRADE
Answer:
$1.20 per candy bar
Step-by-step explanation:
7.2 ÷ 6 = 1.2
Can you guys help with these questions!!
Answer:
You line up the letters