A total of 225 tickets were sold to adults for the school play.
How many tickets were sold to adults?
In this problem we see the case of 379 tickets being sold to adults and students and there was 71 tickets more sold to adults. This situation is defined by following equations:
x + y = 379
x + 71 = y
Where:
x - Tickets sold to students.y - Tickets sold to adults.Now we proceed to solve the system of linear equations:
x + (x + 71) = 379
2 · x = 308
x = 154
And the number of tickets sold to adults is:
y = x + 71
y = 154 + 71
y = 225
To learn more on systems of linear equations: https://brainly.com/question/21292369
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a stone has a mass of 10kg on earth. calculate the weight on the moon. accelaration on the moon is 10 m/s2
Answer:
Weight of the stone is 100 N
Step-by-step explanation:
[tex]{ \boxed{ \bf{weight = mass \times acceleration}}} \\ { \sf{weight = 10 \times 10}} \\ { \sf{weight = 100 \: newtons}}[/tex]
After getting RM24 from his mother, Samuel had 3 times as much as he had previously. How much did he have previously?
Answer:
Samuel had RM8 previously
Step-by-step explanation:
24÷3=8
please explain this to me?
Answer:
14cm + 3cm =17cm
Step-by-step explanation:
now find the area
Please help explanation need it ?
Answer:
Sin(?)=35/48
?=Sin^-1(35/48)
?=46.82
? ≈ 47
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Mr mohapi sells your school 500 chairs for 22500. Mr shuma sells your school 200 chairs for 9600. Who sells cheaper chairs
Answer:
Mr Mohapi is selling cheaper chairs
Step-by-step explanation:
Find the cost per chair from both prices by dividing the total price by the number of chairs:
22500/500
= 45
9600/200
= 48
So, Mr Mohapi is selling at a price of $45 per chair and Mr Shuma is selling at a price of $48 per chair.
Since 45 is smaller than 48, Mr Mohapi's chairs are a better deal.
Mr Mohapi is selling cheaper chairs.
What is the measure of n?
Answer:
m = 10, n = [tex]\sqrt{75}[/tex]
Step-by-step explanation:
We know that the value of an altitude of a right triangle is the square root of the values that the altitude split multiplied together (or the square root of the value of the bases multiplied together).
The values here would be 5 and 15. 5 times 15 is 75, so the value of the altitude is the square root of 75. To find the value of m, we can use the Pythagorean theorem, where 5 and n are the legs and m is the hypotenuse. We already know the value of n, so we can plug that into the Pythagorean theorem:
[tex]5^2+(\sqrt{75})^2=m^2[/tex]
We know 5 squared is 25, and the square of the square root of 75 is 75, and 75 + 25 is 100.
[tex]m^2=100[/tex]
This means that m is equal 10, because the square root of 100 is m.
A random walk process for a single stock consists of the toss of a fair coin at the end of each day. If the outcome is heads, the stock price increases by 1.25 percent. If the outcome is tails, the stock price decreases by 0.75 percent. What is the drift of such a process
Answer:
+0.25
Step-by-step explanation:
Calculation to determine the drift of such a process
Using this formula
Drift=(Increases in stock price*50%)- (Decreases in stock price *50%)
Let plug in the formula
Drift = (0.5)(1.25) + (0.5)(-0.75)
Drift =0.625+ (0.375)
Drift = +0.25%
Therefore the drift of such a process is +0.25
= X
20
100
60
Please help me
Answer:
x = 100
Step-by-step explanation:
(100-40)/2
= 60/2
= 30
So it's 100
Answered by GAUTHMATH
y' = (x+1/[tex]\sqrt{x^{2} +1[/tex]
Answer:
Solving for x (rearranging) you get:
(x^3+x+(x^2+1)^1/2)/x^2+1=y
Step-by-step explanation:
Solve for x by simplifying both sides of the equation and solving for y by isolating y
What is the volume of the solid? Let π=3.14
Answer:
V = 7234.56 km^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 (3.14) (12)^3
V = 7234.56 km^3
Answer:
7234, 56 km³
Step-by-step explanation:
π×R³×4/3=3.14×1728×4/3=7234, 56 km³
Is the statement at the top true or false
Answer:
false
Step-by-step explanation:
these angles are horizonal
find the missing side.
Answer:
24.8
Step-by-step explanation:
sin75 = 24/x
x = 24/sin75 = 24.8466 = 24.8 (nearest tenth)
1_tanA/1+tanA=cotA_1/cotA+1
Answer:
here,
L.H.S;
1-tanA / 1+tanA
=1-1/cotA / 1+1/cotA
= cotA-1/cotA / cotA+1/cotA
=cotA-1 / cotA+1
= R.H.S
proved
Answer:
if it's a math proof, i will think this is answer
Step-by-step explanation:
Identify the type of function represented by f(x)=4 x 2^x
Answer:
exponential growth
Step-by-step explanation:
f(x) is in the form a* b^x
where a is the initial value and b is the growth/ decay factor
since b > 1 it is growth
This is the exponential form of a function
We have exponential growth
Find the value of x and y in the following figure
Step-by-step explanation:
y+80+70=180
y+150=180
y=30
Now you can, easily find x
express in kg: 3470 grams
4 kg 8 g
Answer:
Step-by-step explanation:
This Makes no sense but this is 4kg and 8g converted to Kg :
4kg - 8g = 4.008 kg
find the missing segment in the image below
Answer:
3
Step-by-step explanation:
Intercept theorem
DE // CB ⇒ [tex]\frac{AD}{AC} = \frac{AE}{AB}[/tex]
⇒ [tex]\frac{6}{6+?} =\frac{4}{4+2}[/tex]
⇒ ? = 3
If a moped goes 30 miles per hour, how many hours will it take to travel
217.5 miles?
Answer:
217.5
Step-by-step explanation:
There are two ways to do this problem, first dividing to find the missing value. It will look like this:
217.5 ÷ 30 = 7.25
Or, using random numbers and multiplying it by 30, which is like this:
30 × 10 = 300
30 × 4 = 120
30 × 7 = 210
30 × 7.1 = 213
30 × 7.25 = 217.5
If 5k = -25, then 5k - 1 = -25 - 1
Segment proof
I NEED HELP ASAP!!! i dont understand
Answer:
b
Step-by-step explanation:
A parabola represents a quadratic equation. For a point called the focus and a line called the directrix, the distance from each point of the parabola to the focus is equal to its distance to the directrix. For example, if the directrix of the parabola was y=0 and the focus was (1,1), the distance between each point on the parabola to (1,1) would be equal to its distance from the line y=0.
For a parabola that has a horizontal axis of symmetry (or when y² is in the equation rather than x²), one way to write its equation is of the form
(y-k)² =4p(x-h), where (h,k) is the vertex. Now, we can try to match up this form with the equation we have,
y² = 24x
(y-k)² = 4p(x-h)
We can start by setting both sides with y equal to each other, as well as both sides containing x
y² = (y-k)²
square root both sides
y = y-k
k=0
24x = 4p(x-h)
divide both sides by 4
6x = p(x-h)
expand
6x = p*x - p*h
Because p*h does not contain an x value, we can say
6x = p * x
p = 6
6x = p*x - p*h
6x = 6x-6*h
subtract 6x from both sidex
6*h=0
h=0
Our equation is thus
y= 4(6)(x), with our vertex being (0,0) = (h,k)
The directrix is equal to x=h-p, and with p being 6, our directrix is thus
x=0-6 = -6
x=-6
Solve the equation.
Distribute: 4-2(x+7) = 3(x+5)
Combine Terms: 4-2x-14 = 3×+15
-10-2×= 3×+15
+10 +10
_______________
-2× = 3× + 25
-3x -3x
___________________
-5× = +25
÷ -5 ÷ -5
_____________________
ANSWER : x = -5
Part 2 : What is the value of x for the given equation ?
4-2(×+7)=3(×+5)
ANSWER : × = -5
Answer:
- 5
Step-by-step explanation:
Solve for x
4-2(×+7)=3(×+5)
We open the bracket :
4 - 2x - 14 = 3x + 15
Collect like terms
-2x - 3x = 15 + 14 - 4
-5x = 25
Divide both sides by - 5
-5x/-5 = 25 / - 5
x = - 5
solve for θ:
sin(θ-70)=cos(θ)
pls help and explain step by step
thank you
Answer:
Use this rule : cosx = sin (90 - x)
sin( x -70) = sin (90 - x)
x-70 = 90 - x
2x = 160
x = 80
1. Choose the correct algebraic equation to represent: the amount decreased by $9 is $42.
9-m=42
9-m
m-9=42
m-9
Answer:
m-9=42
Step-by-step explanation:
An amount subtracted by $9 is $42.
(an amount is unknown, so it is represented with variable, m)
m-9=42
Chọn bốn ví dụ sau Ví dụ nào không phải là phân số
A.3/-5 B.1,7/3 C.0/2 D.-13/-4
Answer:
a
Step-by-step explanation:
vì số âm không nằm ở dưới
Helppppp pleaseeee anyoneeeee
Alright, let's do some math!
We know that the constant is = 25, and that for every 1 year it grows by 80.
So, we can create the formula h= 80y+25. This is a really simple way of saying that h is equal to 80 x the value of y + the base of 25.
Now we just need to plug in the numbers and we will get our answers!
y=5 80(5)+25= 425
y=7 80(7)+25= 585
y=9 80(9)+25= 745
y=10 80(10)+25= 825
I hope this helps! :)
Answer:
y=5,h=345. y=7, h=505. y=9, h=665. y=10, h=745.
Step-by-step explanation:
y=5
Add 320 to when it was first planted.
y=7
Add 160 to when y=5.
y=9
Add 160 to when y=7.
y=10
Add 80 to when y=9.
when a certain number is added to 11 and the result is multiplied by 3, the final result is 45 . find the number
Answer:
4
Step-by-step explanation:
Let the number = x
Added to 11 = 11+x
Multiply result by 3 = 3(11+x)
Final result = 45
Solving
3(11 + x) =45
33 +3x = 45
3x= 45-33
3x=12
X=4 by dividing both side by 3
6. Márcia cortou quatro tiras retangulares de mesma largura, cada qual de um dos lados de uma folha de papel que media 30 cm por 40 cm. O pedaço de papel que sobrou tem 68% da área da folha original. Qual é a largura das tiras? A) 5 cm B) 4 cm C) 3 cm D) 2 cm E) 1 cm 40 30 5 10 D) 10 E) 5
Answer:
b
Step-by-step explanation:
i had it
WHO KNOWS HOW TO DO THIS!!!!!
Answer:
Step-by-step explanation:
Scale factor is 2. 6/3=2, 8/4=2. So it’s 1/2
Joan is cutting a roll of ribbon to be used as bows on gifts. If each bow takes 7/8 of a metre of ribbon and Joan has 7 m total of ribbon, how many bows can be made?
write the equation in point -slope form using this graph
Step-by-step explanation:
Step 1: Write the equation using point-slope form
Point-Slope Form: [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
[tex]y-0=m(x-3)[/tex]
[tex]y = m(x-3)[/tex]
Step 2: Find the slope
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-2-0}{-2-(-3)}[/tex]
[tex]m=\frac{-2}{1}[/tex]
[tex]m=-2[/tex]
Step 3: Combine them together
[tex]y = m(x - 3)[/tex]
y = -2(x - 3)
IF NEEDED: Completely factor
[tex]y = (-2 * x) + (-2 * -3)[/tex]
y = -2x + 6
