The required system of inequality will be
t + r ≤ 25
25t + 12r ≥ 200
What is system of equations?
A set or group of equations that are solved together is referred to as a system of equations. Both algebraic and graphic solutions are possible for these equations. The intersection of two lines represents the system of equations' solution.
If 't' represents the number of hours Joanne tutors and 'r' represents the number of hours she works as a receptionist.
Then the total hours she can work = t + r
Since she can work up to 25 hours.
Thus t + r ≤ 25
If she earns $25 per hour by tuition and $ 12 per hour by working as a receptionist .
Then her total earning = $25t + 12r
Since she must earn $200.
Then 25t + 12r ≥ 200
Hence, the required system of inequality will be
t + r ≤ 25
25t + 12r ≥ 200
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Can you help me with this
The population of HaleyValley, Alabama was 4,403 in 2010. Haleyville has been experiencing a population decline of 0. 6% per year since 2000. What will be the projected population of HaleyValley in 2020?
The projected Population in 2020 is given by 4146.
What is compounding ?Compounding is the method through which interest is added to both the principle balance already in place and the interest that has previously been paid. Thus, compounding may be thought of as interest on interest, with the result that returns on interest are magnified over time, or the so-called "magic of compounding."
Compound interest is when an amount receives interest on top of it each time interest is paid on the original amount. The main (initial) sum and the interest that has previously accrued over the course of prior periods are used to compute compound interest.
Number of years to compound is 10 years from 2010 to 2020.
The population deplition is 0.6 % = next year population is 99.4% of present.
So population after 10 years = 4403 * [tex].994\x^{10}[/tex] = 4145.84 =4146
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What ordered pairs are the solutions of the system of equations shown in the graph below?
Answer:
(3,2) and (-2,7)
Step-by-step explanation:
Look for the intercepts of both graphs.
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Find the surface area of a cube with a side length of 1 in
Answer:
6
Step-by-step explanation:
If u add up all sides of a cube, you get 6 because there's 6 sides.
Answer:
6 in
Step-by-step explanation:
There are 6 sides of a cube and each is 1 in so it adds up to 6 in
7.5% of what number is 15?
Help please
Answer:
7.5% of x = 15
75%x=15
15/75%=x
200=x
Therefore
x=200
What does log of e mean?
The Power e is to which a number should be raised to get the specified number is called the logarithm of that specific number. For example, the logarithm to the base of 10 of 1000 is 3 because 10 raised to the power 3 is 1000.
The logarithmic function is the reverse of the Mathematical function of the exponential function. The logarithmic function is log ax = y is equal to x = ay.
There are mainly two types of logarithms normally used in Mathematics. They are one is common logarithms and second natural logarithms.
The log number ‘e’ is an irrational Mathematical constant and is mostly used as the base of natural logarithms. The number ‘e’ is the only unique number in mathematics whose value of natural logarithm is equal to unity.
The value of log ‘e’ was calculated in 1683 by Jacob Bernoulli.
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Let's say you accepted a part-time job working in a bakery. The baker sells a bag of rolls containing 13 rolls (or a
baker's dozen). The baker made 158 rolls before leaving for the evening. He asks you to make sure each roll is
packaged before going home. What is the greatest number of bags you will need, and should you try to sell any
extra rolls so as not to have leftovers?
Answer:
52 bags and 2 extra
Step-by-step explanation:
Simply divide the no. of rolls by no. of rolls per bag
Answer:
12 bags
Step-by-step explanation:
158 rolls ÷ 13 rolls/bag = 12.15 bags
You will have 12 full bags plus about 2 extra rolls left over, which you can try to sell separately or as a "pack" of 2. Or, you can sell one overstuffed bag with 2 extra rolls in it (for a total of 15 rolls) for a little extra on the price.
Simplify the below expression.
pls help with his i dont get it at all
Answer:
D.
Step-by-step explanation:
They are parallel would be the best explanation. AB and PQ are in a sense the same segment but PQ is AB translated.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+147x+80
Answer:
t = 9.7 seconds
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation as :
[tex]y=-16x^2+147x+80[/tex]
We need to find the time that the rocket will hit the ground, to the nearest 100th of second.
When the rocket hit the ground, So,
[tex]-16x^2+147x+80=0\\\\x=-0.515\ s\ and\ 9.70\ s[/tex]
Neglecting negative tim,
t = 9.7 s
Hence, it will hit the ground at 9.7 seconds.
f(x) = x^2
g(x) = (x+3)^2 + 5
We can think of g as a translated (shifted) version of f.
Complete the description of the transformation.
Use nonnegative numbers.
right/left
by
units and to the
by
To get the function g, shift f
up/down blank units.
Answer:
To obtain the g function, move f upward by 5 units and to the left by 3 units.
Step-by-step explanation:
from khanacademy
PLEASE HELP WILL GIVE BRAINLESIT
Answer:
all will be 45* angles except the 90* one because a triangle always has 180* angle if you add them all up
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Triangles.
1.) Sin x = 20/36 , hence x° = 33.74
2.) Sin n = 35/51, hence n° = 43.33
3.) Cos z = 18/21 , hence z° = 31.00
4.) Tan w = 15/6 , hence w° = 0.04
Whats the answer PLS
Answer:
48+23(6)½
Step-by-step explanation:
A = l × w
A =[(8-(6)^½) × (9+4(6)^½)]
A =8(9+4(6)^½) + [-(6)^½(9+4(6)^½]
A =(72 + 32(6)^½ - 9(6)^½ - 24)
A =(72 - 24 + 32(6)^½ - 9(6)^½)
A =(48 + 23(6)^½)
Find out the answer to 4x+12=63
[tex]12 \frac{3}{4} [/tex]
or 12.75
Answer:
x=12.75
Step-by-step explanation:
Follow the steps within the image.
-Hope this helped
Can the inverse of a function be the same function?
Answer:
Yes
Step-by-step explanation:
y = x has the inverse x = y
in triangle ABC,AC=BC,CD is perpendicular to AB with D belonging to AB,AB=4 in. and CD=\sqrt(3) in.find AC
The length of the triangle ΔABC will be √7 inches.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
In triangle ΔABC, AC = BC, the CD is perpendicular to AB with D belonging to AB, AB = 4 inches, and CD = √(3) inches.
The CD is half of the length AB. Then we have
CD = AB / 2
CD = 4 / 2
CD = 2 inches
Then the length of AC is calculated as,
h² = (√3)² + (2)²
h² = 3 + 4
h= √7 inches
The length of the triangle ΔABC will be √7 inches.
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May someone help me with this :)
Answer:
I think it would be 23
Step-by-step explanation:
not sure hope this helps if not leave the answer in the comments, have a good day.
Sum of all angles of a triangle = 180°
Let the angle be x.
So,
x+104°+53° = 180°
x + 157° = 180°
x = 180° - 157°
x = 23°
So, the unknown angle is of measure 23°.
Help ASAP!!!!!!!!!!!!!!!!
The correct order of match is 1-a, 2-b, 3-d and 4-c.
What are conic sections?The term "conic" refers to a curve formed by the intersection of a right circular cone with a plane. In Euclidean geometry, it has distinctive features. The cone is split into two nappes, the upper nappe and the lower nappe, at its vertex.
A plane crosses the cone, and the resulting section is referred to as a conic section.
Given the equations,
the equation for parabola is given by
(y - b)² = 4p(x - a)
Vertex is (a,b)
equation 2 follows the same
x = -2(y - 4)² + 3
this is the equation for parabola.
Equation for ellipse is
(x − a)²/h² + (y − b)²/k² = 1
the equation x²/4 + (y - 8)²/144 = 1
(x/2)² + ((y - 8)/12)² = 1
the equation is same is equation for ellipse,
Equation for circle
(x - h)² + (y - k)² = r²
fourth equation
(x - 9)² + (y + 2)² = 7²
is same as equation of circle
Equation for hyperbola
(x − a)²/h² − (y − b)²/k² = 1
equation (x - 3)²/5 - (y + 4)²/25 = 1
is same as equation of hyperbola.
Hence the correct order is a, b, d, and c.
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help quick its due in 15 minutes
2(x + 7) =
7th grade math
Answer:
2x+14
Step-by-step explanation:
2(x+7)
2x+2x7
then you have your answer 2x+14
What is the average rate of the function from x =2 to x =4 write as whole number
Answer:The average rate of the function from x = 2 to x = 4 is 6.
Step-by-step explanation:
Please help!!!!!!! Thanks
Answer:
145
Step-by-step explanation:
m<4 and m<3 would equal 90 so subtract 55 from 90 and you get 35 for m<3 so you subtract 35 from 180 and you get 145
Calista worked all summer to save for spending money while she is away for college. She goes off to college with $3920 in her savings account. She wants to have at least $500 left in her account at the end of her 36-week school year. Write an inequality to represent this situation.
Answer:
3920 - 36x ≤ 500
Step-by-step explanation:
Calista worked all summer to save for spending money while she is away for college. She goes off to college with $3920 in her savings account. She wants to have at least $500 left in her account at the end of her 36-week school year. Write an inequality to represent this situation.
Let the amount of money spent in 36 weeks = x
At least = Less than or equal to = ≤
$3920 - 36x ≤ $500
Hence, the inequality to represent this situation is written as:
3920 - 36x ≤ 500
I need answer to 11, 13, 10, 12, 14, 16
ASAP Please
10. This system has one solution with coordinates (1, -2)
11. This system has one solution with coordinates (0,-3)
12. This system has one solution with coordinates(-1, -2)
13. This system has no solution.
14. This system has no solution.
16. This system has one solution with coordinates (0,-4)
How to determine the co-ordinates of system of equations?To determine the co-ordinates of a system of equations, the first step is to eliminate any redundant equations in the system.This is done by subtracting or adding equations that are already represented in the system.Once this is done, the system of equations can be set up in matrix form to find the co-ordinates.To do this, one must represent the equations as a matrix by representing the coefficients of each variable as the elements of the matrix.Once the matrix is set up, the inverse of the matrix can then be used to solve for the co-ordinates of the system.This can be done using Gaussian Elimination, Cramer's Rule, or another method.Once the inverse of the matrix is found, one can then multiply it by the vector of the constants in the equations and the resulting vector will contain the co-ordinates of the system.According to question:-
10. y = x - 3 ------- 1
y = -5x + 3 ------- 2
substitute 1 in 2,
x - 3 = -5x + 3
x = 1
y = 1 - 3 = -2
y = -2
The co-ordinates is (1,-2)
11. y = -3
substitute in y = x-3
-3 = x - 3
x = 0
The co-ordinates is (0,-3)
12. y = 4x + 2 --------- 1
y = -2x - 4 ------------2
Substitute 1 in 2,
4x + 2 = -2x - 4
6x = -6
x = -1
substitute x = -1 in 2
y = -2
The co-ordinates is (-1, -2)
13. y = x - 6 -----1
y = x+ 2 -------2
It has no solution, so there is no co-ordinates.
14. x + y = 4
3x + 3y = 12
It has no solution, so there is no co-ordinates.
16. 2x + 3y = 12 ------1
2x - y = 4 --------2
from 2 we rewrite the equation as y = 2x-4
Sub in eq 1
2x + 3(2x-4) = 12
2x + 6x - 12 = 12
8x = 24
x = 3
y = 2
The co-ordinates is (3,2)
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What number will be multiplied to give -100 and be added to give 8
Answer:
? whats the number your multiplying by
Step-by-step explanation:
Answer:
-12.5
Step-by-step explanation:
Hope it helps
FOLLOW MY ACCOUNT PLS PLS
There are four types of candy in a bag – starbursts, jolly ranchers, snickers and milky ways. At random, the probability of picking a starburst is 2/5, a jolly rancher is 18% and a milky way is 0.2. What is the probability of picking a snickers at random? * A. 22% B. 23% C 21% D 20%
Answer:
A) 22%
Step-by-step explanation:
probabilities of selecting:
starburst = .40
jolly = .18
milky = .20
These probabilities total 78% which means the other 22% must be what remains for snickers.
Factor completely. 30x^2y + 5x 15xy
Answer: 105x²y
Step-by-step explanation:
What is the volume of this sphere?
Use 3.14 for pI and round to the nearest hundredth when
necessary.
Answer:
choice 3) 11,488.21 cm³
Step-by-step explanation:
r= 28/2 = 14
volume = 4/3πr3 = 4/3(3.14)(14³) = 11,488.21 cm³
50 POINTS IF U ANSWER WITHIN 5 MIN AND BRAINLIEST!
Answer:
part a: 840 if she withdrew the first month down to 730 and the rate it decreases is 110 then it is 840
part b: 110every month she withdraws 55 dollars because 55 plus 55 is 110
so every 2 months she would have withdrawn 110 dollars
Step-by-step explanation:
8.3g of sugar is needed for every cake made .how much sugar is needed for 5cakes
Answer:
41.5 g
Step-by-step explanation:
This is correct! mark me brainliest!
Answer:
8.3 x 5 = 41.5
Step-by-step explanation:
standard algorithm- 3 x 5=15 1 on top 5 stays on bottom
5 x 8 = 40
40+1 = 41
415
then add decimal dot after one number
hope this helps :P
Condition A a recangle with four right angles condition B: a square with one side measuring 5 inches conddion C: a rhombus with one angle measuring 43 condition D: a parallelogram with one angle measuring 32 condition E a parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches condition F: a rectangle with adjacent sides measuring 4 inches and 3 inches One Quadrilateral Many Quadrilaterals
The conditions (b),(e) and (f) comes under one quadrilateral and conditions (a),(c) and (d) comes under many quadrilaterals.
What is a quadrilateral?
A quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. Quadrilaterals always have a total internal angle of 360 degrees.
Given,
condition A : a rectangle with four right angles
condition B : a square with one side measuring 5 inches
condition C : a rhombus with one angle measuring 43°
condition D : a parallelogram with one angle measuring 32°
condition E : a parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches
condition F : a rectangle with adjacent sides measuring 4 inches and 3 inches.
Now we are asked to match the above conditions to one quadrilateral and many quadrilaterals groups according to the number of quadrilaterals that can be constructed using the given condition.
Condition A : Many Quadrilaterals
All the rectangles have four right angles in them. So many rectangles of different lengths can be formed.
Condition B : One Quadrilateral
The defining factor that make a square unique is the length of its side. All the sides of the square also has equal length. So only one square of 5 inches side can be made.
Condition C: Many Quadrilaterals
For a rhombus the opposite angles are equal and the sum of angles should be 360°. Even though the angles are fixed, this rhombus can have any side length.
Condition D: Many Quadrilaterals
As discussed for rhombus, even though the angles of the parallelogram is fixed, there can be many sides lengths.
Condition E: One Quadrilateral
In this case, side length as well as the angle of the parallelogram is given. So there can be only one parallelogram.
Condition F:One Quadrilateral
The side lengths are what make a rectangle one of its kind. So one one rectangle can be formed with lengths 4 inches and 3 inches.
Therefore conditions (b),(e) and (f) comes under one quadrilateral and conditions (a),(c) and (d) comes under many quadrilaterals.
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