Given:
The fees for a day student are $600 a term.
The fees for a boarding student are $1200 a term.
The school needs at least $720000 a term.
To show:
That the given information can be written as [tex]x + 2y\geq 1200[/tex].
Solution:
Let x be the number of day students and y be the number of boarding students.
The fees for a day student are [tex]\$600[/tex] a term.
So, the fees for [tex]x[/tex] day students are [tex]\$600x[/tex] a term.
The fees for a boarding student are [tex]\$1200[/tex] a term.
The fees for [tex]y[/tex] boarding student are [tex]\$1200y[/tex] a term.
Total fees for [tex]x[/tex] day students and [tex]y[/tex] boarding student is:
[tex]\text{Total fees}=600x+1200y[/tex]
The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.
[tex]600x+1200y\geq 720000[/tex]
[tex]600(x+2y)\geq 720000[/tex]
Divide both sides by 600.
[tex]\dfrac{600(x+2y)}{600}\geq \dfrac{720000}{600}[/tex]
[tex]x+2y\geq 1200[/tex]
Hence proved.
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
Solution given:
Relationship between perpendicular and hypotenuse is given by sin angle
Sin 30°=opposite/hypotenuse
½=[tex]\frac{x}{9}[/tex]
x=[tex]\frac{9}{2}[/tex]
The value of x is [tex]\frac{9}{2}[/tex]
Please help me with this one I seriously suck at math
Answer:
6×5+8×6+6×7+2×1/2×4×8
= 152 in^2
○●○●○●○●○●○
☆Hope it helps...
A straight line is drawn through the points A(1,1) and B(5,-2). Calculate the gradient
Answer:
-3/4
Step-by-step explanation:
The line passes through the two points which are A(1,1) and B(5,-2) . We know that the slope of the line passing through two points is ,
[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies Slope =\dfrac{ -2-1}{5-1}\\\\\implies Slope =\dfrac{-3}{4} \\\\\implies \underline{\underline{ Slope (m) =\dfrac{-3}{4}}}[/tex]
Hence the slope of the line is -3/4 .
Type the correct answer in each box. Use numerals instead of words
Answer:
a) 1.73
b)1.32
Step-by-step explanation:
y = f(x) = 3^x
f(1/2) = 3^1/2 = √(3) = 1.73
f(1/4) = 3^1/4 = 1/4√3 = 1.32
Find the measure of the indicated angle
Answer:
76°
Step-by-step explanation:
180-(2*52)
= 180-104
= 76
Answered by GAUTHMATH
Let ABCD and EFGH be two quadrilaterals such that ABCD ~ EFGH. If AB = 15 cm, EF = 18 cm and the perimeter of ABCD is 40 cm, find the perimeter of EFGH.
Step-by-step explanation:
this photo is correct answer of this question.
The sum of four consecutive numbers is two more than three times the greatest of these numbers. Find the numbers.
Answer:
9, 10, 11, 12
Step-by-step explanation:
Let the consecutive numbers be:
x, x+1, x+2, x+3
Greatest of the numbers will be: x + 3
x+x+1+x+2+x+3 = 3(x+3) + 2
4x + 6 = 3(x+4) + 2
4x + 6 = 3x + 12 + 2
4x + 6 = 3x + 14
Collect like terms
4x - 3x = 14 - 6
x = 8
x +1 = 8+ 1 = 9
x + 2 = 8 + 2 = 10
x + 3 = 8 + 3 = 11
x + 4 = 8 + 4 = 12
PLZ Find a ratio equivalent to 9/10. Then use the ratios to write a proportion.
a 70/63 9/10=70/63
b 19/70 9/10=19/70
c 19/20 9/10=19/20
d 63/70 9/10=63/70
Answer:
63/70 = 9 : 10
Step-by-step explanation:
Given ratio:
9/10
a 70/63
= 10/9
= 10 : 9
b 19/70
= 19:70
c 19/20
= 19 : 20
d 63/70
= 9/10
= 9 : 10
The equivalent ratio to 9/10 = 63/70
= 9 : 10
what are the x-coordinates of the solutions? Choose all that apply.
a. -2
b. 1
c. -1
d. 0
Answer:
a. -2
c. -1
Step-by-step explanation:
these are the only values for x, where the 2 equations deliver the same y value.
in case of a. y = -2×-2 - 1 = 4 - 1 = 3
and y = 3¹ = 3
c. y = -2×-1 - 1 = 2 - 1 = 1
y = 3⁰ = 1
Jamie's chemistry textbook weighs 7/10 of a pound and his geometry textbook weighs 3/5 of a pound. How much more does the chemistry textbook weigh than the geometry textbook?
What percent did the price drop
Answer:
10%
Step-by-step explanation:
You have the correct answer. Nice job!
Tìm x €N: a) 24:(2x-4)+14=26
Choose the correct answer from the given four options:In an AP if a = –7.2, d = 3.6, an = 7.2, then n
2
4
3
5
Answer:
n=5
Step-by-step explanation:
by using
n=(an-a)/a+1
substituting values
n= 7.2-(-7.2)/3.6 +1
n=5
What is the measure of side B’C’?
Help and explain pls and ty
[tex]\displaystyle\bf (3-5\sqrt{5} )-(5\sqrt{3} -3)=3+3-5\sqrt{5} -5\sqrt{3} =\boxed{6-5\sqrt{5} -5\sqrt{3} } \\\\\\\\\sqrt{5} (\sqrt{5} -2x)=\boxed{-2x\sqrt{5} +5}[/tex]
The sum of two numbers is 3000. If 8% of one number is equal to 12% of the other, find the numbers.
one is 1800 and another is 1200
Step-by-step explanation:
let no's be A and B
so, A+B =3000
given, 8% = 8/100 = 2/25
12%= 12/100 = 3/25
As per question 8% of A is = 12% of B
so, (2/25)*A = (3/25)*B
now, multiply cross wise
then we get, (A/B) = 3:2
thus two numbers are in the ratio of 3:2
so, let A =3x, B=2x
cause sum of these is 3000 so, A+B =3000
3x+2x =3000
5x = 3000
x= 3000/5
.: x = 600
so, first no is 3x =3*600=1800
2nd no is 2x= 2*600= 1200
Hope this helps you
Does (2, 1) make the equation y = 8x true? yes no
Answer:
No
Step-by-step explanation:
Because 1 don't equal to 16
Answer:
no
Step-by-step explanation:
* means multiply
(2,1)
x = 2
y = 1
just plug in the numbers
1 = 8*2 ?
1 = 16? no
Cual es!!! Es examen ayudaaaaa
hello babyyy hpi how you
If you know the answer to any of these please Ill mark brainliest.
Answer:
Step-by-step explanation:
1) 2/9 = 185/x
2x = 1665
x = 832.5 or 8.325 meters
2) unit rate is the cost of one unit
i.e a dozen eggs cost $1.20 that
would be 10 cents each
3) 300 tissues for $3.75 vs. 250 for $2.99
one is 1.24 cents per tissue
the other 1.19 ... the 250 package is a better buy
Solve the system of equations.
−5x−3y−9=0
4x−18y−54=0
y=? x=?
Answer:
Step-by-step explanation:
Eq. 1 ) −5x−3y−9=0
Eq. 2) 4x−18y−54=0
there are two routes to solve this, Substitution or elimination, I'll go for the 2nd one because I can see that the y values are a multiple of each other :)
6 *( −5x−3y−9=0 )
Eq. 3) -30x -18y =54
subtract Eq. 2 from Eq. 3 :)
-30x -18y =54
-( 4x−18y=54)
-34x = 0
so according to the equations then x =0 but, that's not really a full answer, so now we should go back and try the other method, substitution,
then:
-5x = 9 +3y
x = - 9/5 + (-3/5)y
now plug that into Eq. 2
4( - 9/5 + (-3/5)y ) - 18y = 54
-36/5 + (-12/5)y -18y = 54
(-12/5)y - (90/5)y = 54+36/5
-(102/5)*y =270/5+36/5
-(102/5)y = 306/5
y = (-5/102)*(306/5)
y = -306/102
y = -3
then plug in for either equation
-5x-3( -3) = 9
-5x + 9 = 9
-5x = 0
x = 0
now we have the full answer
check it by plugging in both x and y into the 2nd equation
4(0) - 18(-3) = 54
54= 54
this seems good
Question 1: Use the image and your knowledge of the isosceles triangle to find the value of x
Answer:
35 degrees
Step-by-step explanation:
since both sides are equal, so are the angles involved.
Help and explain !!!!
i believe it's y-intercept!
to be honest i was never taught why it was the y-intercept, i was just told that it was. hope this helps!
What is the answer to this question
whats the function for y=-4x+3
Answer:
the function for y=-4x+3
= soln,
y=mx+b"
What is the midpoint of the segment with endpoints(-4, -
2) and (2, 6)?
Answer:
(-1,2)
Step-by-step explanation:
hope you find this useful!
https://ncalculators.com/geometry/mid-points-calculator.htm
In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg?
Answer:
D) 1:1
Step-by-step explanation:
Please help! i have no idea how to do this, all i know is it's the sine rule. it's due tomorrow so if you know how to do this please help haha
Answer:
93.2°
Step-by-step explanation:
[tex]\frac{sin(38)}{9} = \frac{sin(c)}{11}[/tex] ... c =48.8
a =180-(38+48.8) = 93.2
if f(x) = 2x² +1 and g(x) = x² - 7 find (f+g) (x)
Help me find (f+g)(x) please!
Answer:
[tex](f+g)(x) = 3x^2 - 6[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2 + 1, \ g(x) = x^2 - 7\\\\(f +g)(x) = f(x) + g(x) \\\\(f+g)(x) = 2x^2 + 1 + x^2 - 7 \\\\(f+ g)(x) = 3x^2 - 6[/tex]
What is the phenomenon that many types of data analysis become significantly harder as the dimensionality of the data increases
Answer:
the curse of dimensionality
Step-by-step explanation:
the cause of dimensionality has to do with the different phenomena that comes up whenever data is to be analyzed or organized in high dimensional spaces which do not happen in low dimensional spaces. This curse can be explained simply as having error increase just as there are increases in the number of features. when the features we have is more than the observations, it could cause the model to be overfitted.
question on the image
(with the steps)
Answer:
40°
Step-by-step explanation:
The given triangle is a isosceles triangle . And we know that in a isosceles triangle opposite angles are equal . Therefore ,
> x + 70° + 70° = 180°
> x + 140° = 180°
> x = 180° - 140°
> x = 40°
Answer:
40 degrees
Step-by-step explanation:
We know that the base angles are congruent (a fancy word for equal) because of the slash marks. This means that both of the base angles are 70.
Every triangle adds up to 180 degrees.
So, You can just do 180 - (70+70)
Algebra version:
70 + 70 + x = 180
140 + x = 180 (subtract 140 on both sides)
x = 40
hope this helps :)
