Answer:
Math sections = 20
English sections = 16
Philosophy sections = 8
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of Math sections.
y is the number of English sections.
z is the number of Philosophy sections.
Available classrooms limit the total sections of all three courses to 44.
This means that [tex]x + y + z = 44[/tex]
4 less English sections than Math sections.
This means that [tex]y = x - 4[/tex]
In any quarter student demand for the optional Philosophy course is half as many sections as English sections.
This means that [tex]z = \frac{y}{2} = \frac{x - 4}{2}[/tex]
Finding the number of Math sections:
We have both y and z as functions of x. So
[tex]x + y + z = 44[/tex]
[tex]x + x - 4 + \frac{x-4}{2} = 44[/tex]
[tex]2x + \frac{x-4}{2} = 48[/tex]
Multiplying everything by 2
[tex]4x + x - 4 = 96[/tex]
[tex]5x = 100[/tex]
[tex]x = \frac{100}{5}[/tex]
[tex]x = 20[/tex]
Then
[tex]y = x - 4 = 20 - 4 = 16[/tex]
[tex]z = \frac{y}{2} = \frac{16}{2} = 8[/tex]. So
Math sections = 20
English sections = 16
Philosophy sections = 8
I need help within the next 15 mins
Answer:30
Step-by-step explanation: LxW (length x Width) 3x10=30.... Hope this helps... if you break it down then you can write down (10) on your page but the answer is 30
What is the slope of the equation y- 5 = -3x?
Answer:
-3/1
Step-by-step explanation:
It's always the x value over the y value, so whatever's in the x
Answer:
-3
Step-by-step explanation:
the equation is y=-3x+5, so m=-3
NEED HELP ASAP!!! for geometry class
Answer:
B) AAS
Step-by-step explanation:
B) AAS
Which of the following fractions is written in its simplest form?
a. 11/121
b. 45/50
c. 14/35
d. 12/73
Find the x and y intercepts of this line:
-5x+4y=-18
Answer:
Step-by-step explanation:
x- intercepts: ( 18/5,0)
y- intercepts: ( 0,-9/2)
Polygon ABCD had the following vertices: A(-3,3), B(5,5), C(5,-4), and D(-3,-4)
ASAP PlEaSE
Answer:
I couldn't even understand the question
Step-by-step explanation:
Please help ASAP will give Brainlyest answer :M/5=2
HELPPPP DUEEE IN A FEW MINSSS PLS HELPPP
karl can flip 3 water bottles in 1/8 of a minute at that rate how many bottles can we expect him to flip in 1 minute
Answer:
Step-by-step explanation:
x/1=3/(1/8)
x=3(8/1)=24 bottles per minute
Determine whether the ratios are equivalent 6 : 10 and 12 : 20 ?
Answer:
Yes, they are equivalent because 12 is divisible by 6 two times and 20 is divisible by ten two times.
A $230 suit is marked down by 30%. Find the sale price.
Answer:
161
Step-by-step explanation:
69 is 30% of 230 so 230-69=161 is the answer.
Write the equation of the line that passes through the points (-3, 4) and (-3,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
x=-3
Step-by-step explanation:
y-4=(3-4)/(-3-(-3))(x+3)
y-4=1/(-3+3) (x+3)
y-4=1/0(x+3)
or x+3=0
x=-3
Can some write the correct inequality graph below
Answer:
x≥-6
Step-by-step explanation:
Does anyone know the answer and could you explain how you got your answer? THANK YOUU
Answer:
This would be a 60% increase
Step-by-step explanation:
40-25 and divided by 25 times 100
you should get 15/25 multiply it by 100=60%
Compare and contrast the words malfunction and dysfunction
A given field mouse population satisfies the differential equation dp/dt=.4p-450 where p is the number of mice and t is the time in months.
(a) Find the time at which the population becomes extinct if p(0)=1075
Round your answer to two decimal places in months.
(b) Find the initial population Po if the population is to become extinct in 1 year.
Round your answer to the nearest integer.
Po= mice
Answer:
a) 7.78 months
b) 1116
Step-by-step explanation:
Given -
[tex]\frac{dP}{dt} = 0.4p-450[/tex]
Integrating the above equation with respect to time, we get -
[tex]\int\ \frac{dP}{0.4p-450} = \int\ dt\\[/tex]
let us define new variable x
[tex]x = 0.4p - 450 \\dx = 0.4 dy[/tex]
substituting these values in above integral equation, we get -
[tex]\frac{1}{0.4} \int\ \frac{dx}{x} = \int\ dt\\ln x = 0.4 t + C\\x = ce^{0.4t}[/tex]
[tex]P (t) = \frac{C}{0.4} e^{0.4t} +1125\\[/tex]
at t = 0, P (0) = 1075, using this condition, we get -
[tex]\frac{c}{0.4} = -50\\P(t) = 50 e^{0.4t} +1125 \\t = 7.78\\P(0) = 1125 - \frac{1125}{e^{4.8}} = 1116[/tex]
Can someone help me, please??
Answer:
im gonna say its the last one
Step-by-step explanation:
all of the graphs and histograms ive seen have a 0 at the y
The scatter plot shows a hiker's elevation above sea level during a hike from the base to the top of a mountain. The equation of a trend line for the hiker's elevation is y=8.42x+800, where x represents the number of minutes and y represents the hiker's elevation in feet. Use the equation of the trend line to estimate the hiker's elevation after 145 minutes.
Answer:
685ik
Step-by-step explanation:
uuuuuuyyyyyyyyyyyyyyyyty
plus the wat
5.6t
To make fruit salad, Maria bought 2 1/4 pounds of apples, and 1 1/3 pounds of peaches. How much fruit salad did this make? Make sure your answer is in simplest form.
Answer:
3 7/12
Step-by-step explanation:
What two numbers multiply to get -30 and add to get -7 ?
Answer:
3 and -10 to get 30
4 and -11 to get -7
Step-by-step explanation:
3 * -10 = -30
4 + (-11) = 4 - 11 = -7
PLEASE HELP! PLEASE ALSO GIVE A GOOD EXPLANATION AND SHOW WORK! 45 points!!
Dalia is painting her room. After painting 1/10 of her room, Dalia has used 1/2 of a can of paint.
Select ALL of the true statements.
1. Painting 1/2 of Dalia's room requires 10 cans of paint.
2. Each can of paint will cover 1/20 of Dalia's room.
3. 3 cans of paint will cover 60% of Dalia's room.
4. Dalia's entire room requires 20 cans of paint.
5. Dalia's entire room requires 5 cans of paint.
Hence statement 3 and 5 are true from the equation given in question.
What is equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
Types of Equations:
Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.
Quadratic Equation: This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.
Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.
Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.
Number of cans used 1/10 part of room = 1/2
No. of cans paints used 1 part = 1/2 / 1/10 = 5
∵ 1/2 can paint is used = 1/10
∴ 1 can paint used = (1/10)*2 = 1/5
∴ 5 cans = 100%
3 cans used = (3/5)*100 = 60%
To know more about equation please visit:
brainly.com/question/10413253
#SPJ2
Is this theorem AA, SSS, or SAS? If so how do you know?
What is the y intercept of the graph of the inequality 2x + 3y > 12?
Answer:
-4 y>-2/3x-4
Step-by-step explanation:
-3y>2x+12 y> -2/3x-4
Mhanifa please help I will mark brainliest
Answer:
36°90°Step-by-step explanation:
Question 1
x = 180° - 2*72° = 180° - 144° = 36°Question 2
x + 2(x/2) = 180°2x = 180°x = 90°Is 22,18,12 a right triangle
Answer:
Step-by-step explanation:
12²+18²=144+324=468
22²=484
468<484
12²+18²≠22²
it is not a right angled triangle.
A triangle with side lengths of 15, 18, and 25 is a right triangle. True or False
(SAT Prep) Find the value of x.
Answer:
x = 65°Step-by-step explanation:
2x and 50° are supplementary angles
2x + 50° = 180°2x = 130°x = 130°/2x = 65°Answer:
65
Step-by-step explanation:
2x+2x=4x
4x+50+50=360
4x+100=360
4x=260
x=65
A manager uses the following equation to predict monthly receipts: Y-450-10 Lt time in weeks and y = receipts.) What is the forecast for July 14th ift=4 is the fourth week in January and t = 6 is February 14th of the same year (assume there are 4 weeks in each month)?
a. 690
b. 710
c. 730
d. 750
A major reason that decision making is often not such a rational process is that there are: Suppose we have H0:µ1= µ2 versus HA: µ1 ≠ µ2, with level of significance of α =.05 and critical values of zα/2 = ± 1.96, and the computed Test Statistics value of Z = -1.07. What is our decision?
Answer:
b. 710
Fail to reject H0
Step-by-step explanation:
Forecast for July 14 :
Assume there are 4 wwwks in each month :
January to June = ( 4 * 6 months) = 24 weeks in 6 months ;
July - July 14 = 2 weeks :
2 + 24 = 26 weeks
The model given :
Y = 450 + 10t
Y = 450 + 10(26)
Y = 450 + 260
Y = 710
2.)
Test is a 2 tail test :
Zstatistic = - 1.07
At 95% confidence = ±1.96
Zcritical = - 1.96
Hence,
Reject H0 if ;
Zstatistic < Zcritical
-1.07 > 1.96
Hence, fail to reject H0.
un numero entero y racional
Answer:
Los números racionales son aquellos números que pueden ser expresados como una relación entre dos enteros. Por ejemplo, las fracciones 1/3 y –1111/8 ambas son números racionales. Todos los enteros están incluídos en los números racionales, ya que cualquier entero z puede ser escrito como la relación z /1.
Step-by-step explanation:
Help me please!...ffddfdf
Answer:
Radius:3.5 or 7/2
Diameter:7
Step-by-step explanation:
The diameter is given, and the radius is half of the diameter because it's from the middle of the circle to the edge. Divide 7 by two and you get radius