Answer:
19 tickets
Step-by-step explanation:
Nadine sold two kinds of tickets to her class play
The student tickets cost $3
Adult tickets cost $5.50
Nadine sold a total of 25 tickets for $90
We are required to find the number of students tickets that were sold
Let x represent the number of tickets sold to students
Let y represent the number of tickets sold to adults
x + y= 25
x= 25-y..........equation 1
Since the total cost of the ticket is $90
3x + 5.50y=90..........equation 2
Substitute 25-y for x in equation 2
3(25-y) + 5.50y= 90
75-3y+5.50y= 90
75+2.5y= 90
Collect the like terms
2.5y= 90-75
2.5y=15
Divide both sides by 2.5
2.5y/2.5=15/2.5
y= 6
Substitute 6 for y in equation 1
x= 25-y
x= 25-6
x= 19
Hence Nadine sold 19 student tickets
Please Help me I am struggling a lot and I would be very grateful!!!
Plz help ASAP I WILL GIVE BRAINLIEST!!
Emily was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She then bought seventeen more.IF SHE STARTED WITH 46 STAMPS, how many does she have now?
A. 75
B. 40
C. 29
D. 63
Answer:
B. 40
Step-by-step explanation:
She starts with 46 and sells half of them
That leaves her with 23 stamps left.
She then buys 17 more, 23 + 17 is 40
Answer is B
Answer:
B. 40 stamps
Step-by-step explanation:
We know that she sold half of her stamps. She started with 46 stamps.
First, find 1/2 of 46.
Multiply 1/2 and 46, or divide 46 by 2.
1/2 *46= 23
46/2=23
She sold 23 stamps, and was left with 23 stamps.
Then, she bought 17 more. If she bought more, she added to the amount she already had.
Therefore, we can add 23 and 17.
23+17=40
She has 40 stamps now.
PLZ HELP ME PLZZZ I NEED HELP
Answer:
y = 40.5 cm
Step-by-step explanation:
The total area of the shape is 792 cm²
let's find the area of the four parallelograms
To do that we should calculate the area of the rhombus inside and then substract it from the total area
The area of a rhombus is given by the formula:
A = [tex]\frac{d*d'}{2}[/tex] where d and d' are the diametersLet A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms
A"= A - A' A" = A -[tex]\frac{d*d'}{2}[/tex] A" = 792- [tex]\frac{18*7}{2}[/tex] A" = 729 cm²Let a be the area of the single parallelogram
a = A"/4 since the parallelograms are congruent a = 729/4 a = 182.25 cm²the area of a parallelogram is fiven by the formula :
A = b*h b is the base (here y/2) and h the height (here 18/9)let's find y
a = [tex]\frac{y}{2}[/tex] * 9182.25*2 = y*9 364.5 = y*9 y = 364.5/9 y = 40.5AC=4, AE=7, AD=10, what is the length of AB?
A: 1 3/7
B: 2 1/2
C: 5 5/7
D: 17 1/2
Answer:
C. [tex] AB = 5\frac{5}{7} [/tex]
Step-by-step explanation:
When two polygons are considered similar, the ratio of their corresponding sides would also be equal.
Since ∆ABC and ∆ADE are similar, [tex] \frac{AE}{AC} = \frac{AD}{AB} [/tex]
[tex] \frac{7}{4} = \frac{10}{AB} [/tex]
Cross multiply
[tex] 7*AB = 10*4 [/tex]
[tex] 7*AB = 40 [/tex]
Divide both sides by 7 to find AB
[tex] \frac{7*AB}{7} = \frac{40}{7} [/tex]
[tex] AB = \frac{40}{7} [/tex]
[tex] AB = 5\frac{5}{7} [/tex]
3. A un hombre le pagan doble el tiempo que trabaja por encima de las 40 horas. La
pasada semana, él trabajó 47 horas y recibió un cheque de $648.00. ¿Cuál es su
salario regular por hora?
Answer: Su salario regular por hora es $12
Step-by-step explanation:
Hola, para resolver este problema debemos plantear una ecuación:
A el hombre le pagan doble el tiempo que trabaja por encima de las 40 horas, el trabajo 47, o lo que es equivalente = 40+7.
Las primeras 40 horas recibió su salario regular por hora (x) y las otras 7 recibió el doble (2x). LA suma de esos productos da un total de $648.
Matemáticamente hablando:
40 x+ 7 (2x) = 648
Resolviendo para x (salario regular por hora)
40x +14x =648
54x =648
x = 648/54
x = 12
in an abc triangle, the hypotenuse is 10 and the other sides are x, the measurement of angle B is 90 deg, what is the value of x
Answer:
x = [tex]5\sqrt{2}[/tex].
Step-by-step explanation:
The question says that the hypotenuse is 10, while the other two sides are both x. That means that the triangle is a 45-45-90 angle.
Because this is a 45-45-90 triangle, the proportions of the side lengths are 1-1-sqrt(2).
Since the hypotenuse is 10, and the side length is x, we can make a proportion.
[tex]\frac{10}{\sqrt{2}} =\frac{x}{1}[/tex]
[tex]x\sqrt{2}[/tex] = 10
x = [tex]\frac{10}{\sqrt{2} }[/tex]
x = [tex]\frac{10 * (\sqrt{2} )}{(\sqrt{2})(\sqrt{2} ) }[/tex]
x = [tex]\frac{10\sqrt{2} }{2}[/tex]
x = [tex]5\sqrt{2}[/tex]
Hope this helps!
Simplify the expression.
Write your answer without negative exponents.
Answer: [tex]\frac{5a^2}{-10a^4b^9}[/tex]
Step-by-step explanation:
Any negative exponent can be moved to the other side of the fraction as a positive exponent.
Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4. Then, use the exponent rule to get 5a^2/-10a^4b^9
Hope it helps <3
What is the value of m in the figure below? In this diagram, ΔABD ~ ΔBCD.
Answer:
√126Option D is the right option.
solution,
[tex] \frac{ac}{bc} = \frac{bc}{dc} \\ or \: \frac{18}{ m} = \frac{m}{7} \\ or \: m \times \: m = 18 \times 7(cross \: multiplication) \\ or \: {m}^{2} = 126 \\ m = \sqrt{126} [/tex]
Hope this helps..
Good luck on your assignment.
Hope
Who coined the term “fractal”?'
Answer:
Benoit Mandelbrot
Step-by-step explanation:
I googled it.
Answer:
B MANDLEBROT
Step-by-step explanation:
Who coined the term “fractal”?
a.
Sierpinski
c.
Sapoval
b.
Mandlebrot
d.
Amalgamated Research
What is the value of x?
Answer:
The answer is option C.
Step-by-step explanation:
Angles in a triangle add up to 180°
To find x add up all the angles in the triangle and subtract it from 180°
Thus
x + 95 + 57 = 180
x = 180 - 152
x = 28°
Hope this helps
please help to solve this question
Find H.C.F
i) x^3-y^3, x^6-y^6, x^4+ x^2y^2+y^4
Answer:
No Like terms
Step-by-step explanation:
x^3-y^3= No like terms (its simplified)
x^6-y^6= No like terms (its simplified)
x^4+ x^2y^2+y^4 = No like terms (its simplified)
Hope this helps! Have a nice day :)
Answer:
x^2+xy+y^2
Step-by-step explanation:
x^3-y^3= (x-y)((x^2+xy+y^2)x^6-y^6=(x^3+y^3)(x^3-y^3)= (x^3+y^3)(x-y)(x^2+xy+y^2)x^4+ x^2y^2+y^4= x^4+2x^2y^2+y^4 - x^2y^2= (x^2+y^2)^2 -x^2y^2=(x^2+xy+y^2)(x^2-xy+y^2)HCF is x^2+xy+y^2 as it is the factor of all three polynomials
If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area
Answer:
[tex]\huge\boxed{SA=2466\ (mm^2)}[/tex]
Step-by-step explanation:
The formula of a Surface Area of a rectangular prisms:
[tex]SA=2(lw+lh+wh)[/tex]
l - length
w - width
h - height
We have:
[tex]l=39mm;\ w=12mm;\ h=15mm[/tex]
Substitute:
[tex]SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)[/tex]
Work out the equation of a line which has a gradient of 2 and passes through the point (1,4) plssss help me
Answer:
The equation of the line is
y = 2x + 2
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the gradient
c is the y intercept
From the question m is 2
Equation of the line using point (1,4) is
y - 4 = 2( x - 1)
y - 4 = 2x - 2
y = 2x - 2 + 4
y = 2x + 2
Hope this helps you
Can someone help with this trig ? pls
Answer:
45°
Step-by-step explanation:
To find you answer, we take the inverse sin(√2/2). When you plug that into your calc, you get 45°.
Alternatively, if you learned and remembered your unit circle, inverse sin(√2/2) would be π/4.
(10,16) and (-28, -16)
What is the midpoint of a segment
with the endpoints shown to the
left?
(-18, 0)
(-9, 2)
(19,16)
(-9,0)

Answer:
(-9, 0)
Step-by-step explanation:
To find the midpoint of the segment, we use the mathematical formula below;
(x,y) = {(x1+x2)/2 , (y1+y2)/2}
From the question;
(x1,y1) = (10,16)
(x2,y2) = (-28,-16)
Substituting these values into the equation we wrote above, we have;
(x,y) = (10-28)/2 , (16-16)/2
(x,y) = (-18/2, 0/2) = (-9,0)
The diagram shows an empty tank in the shape of a horizontal prism of length 150 cm.
The cross section of the prisin is an isosceles trapezium ABCD.
AB= 50cm, CD- 70 cm and the vertical height of the trapezium is 40 cm.
(0) Calculate the volume of the tank. it is a math question
Answer:
2400
Step-by-step explanation:
Area of a trapezoid: (b₁ + b₂) / 2 * h
= (70 + 50) / 2 * 40
= 60 * 40 = 2400
if U is the midpoint of CB, CU=18, and CB= 2x-10, then find x
Answer:
x = 23
Step-by-step explanation:
CU + UB = CB
Since U is the midpoint that means CU = UB = 18
18+ 18 = 2x-10
36 = 2x-10
Add 10 to each side
36+10 = 2x
46 =2x
Divide by 2
23 = x
Answer:
x = 23Step-by-step explanation:
CB/2 = CU
CB = (2)CU
2x - 10 = (2)18
2x - 10 = 36
Add 10 on both sides.
2x = 46
Divide both sides by 2.
x = 23
A bag contains 2 red beads, 1 yellow bead and 3 green beads. A bead is chosen at random. What is the probability that it is red? a) What is the probability that it is not yellow?
Answer:
Step-by-step explanation:
Total no of beads = 2 + 1 + 3 = 6
No of red beads = 2
p ( red ) = 2/6 = 1/3
No of non - yellow beads = 5
p ( yellow ) = 5/6
Hope this helps
plz mark as brainliest!!!!!!!!
Answer:
Step-by-step explanation:
There are total 6 beads in all.
2) Since there are 5 non-yellow beads, the probability that the bead is not yellow will be 5/6
Since there are 2 red beads, the probability that the bead is red will be 2/6 = 1/3
Here are 4 fractions labelled A,B,C,D. A is 3/4 B is 5/6 C=16/25 D=9/15 Using the label A,B,C,D, Write the fractions in order of size starting with the smallest fraction
Answer:
Starting with the smallest, we will have; D , C, A, B
Step-by-step explanation:
Given;
A = 3/4
B = 5/6
C = 16/25
D = 9/15
Convert the fractions to decimal, to determine their sizes;
A = 3/4 = 0.75
B = 5/6 = 0.833
C = 16/25 = 0.64
D = 9/15 = 0.6
From the decimal form of the fractions, it be observed that,
B > A > C > D
Starting with the smallest, we will have; D , C, A, B
If function ghas the factors (x-7) and (x + 6), what are the zeros of function g?
Answer:
x = 7, -6
Step-by-step explanation:
Since they already give you the binomial factors, all you need to do is set them equal to 0 to find your roots:
x - 7 = 0
x = 7
x + 6 = 0
x = -6
Answer:
The zeros are 7 and -6Step-by-step explanation:
(x-7)(x+6)=0
x-7=0/(x+6)
x cannot be -6
x-7=0
x=7
x+6=0/(x-7)
x+6=0
x=-6
The zeros are 7 and -6
Rectangle divided into four rectangles. The perimeters of rectangle #1, #2, #3, #4 are 10 cm, 20 cm, 28 cm and 18 cm respectively. Find the perimeter of the big rectangle.
Answer:
Perimeter of big rectangle = 38 units
Step-by-step explanation:
Let the sides of rectangle (1) = a and c cm
Sides of rectangle (2) = b and c cm
Sides of rectangle (3) = b and d cm
Sides of rectangle (4) = a and d cm
Perimeter of (1) = 2(length + width)
2(a + c) = 10
a + c = 5 ---------(1)
Perimeter of (2) = 2(b + c)
2(b + c) = 20
b + c = 10 -------(2)
Perimeter of (3) =2(b + d)
2(b + d) = 28
b + d = 14 --------(3)
Perimeter of (4) = 2(a + d)
2(a + d) = 18
a + d = 9 -------(4)
Since perimeter of the big rectangle = 2(a + b + c + d)
By adding equations (1) + (2) + (3) + (4),
(a + c) + (b + c) + (b + d) + (a + d) = 5 + 10 + 14 + 9
2(a + b + c + d) = 38
Therefore, perimeter of the rectangle ABCD = 38 units
What is the equation of the translated function, g(x), if
f(x)=x²?
O g(x) = (x-4)2 + 6
O g(x) = (x + 6)2 - 4
O g(x) = (x - 6)2 - 4
O g(x) = (x + 4)2 + 6
Answer:
the answer is (x+6)2-4
The correct equation of the translated function, g(x) is,
⇒ g(x) = (x + 4)² 6
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
here, we have,
Given that:
The function is,
,⇒ f (x) = x²
Here, f(x) has vertex point is (0,0)
and g(x) vertex point is (-4,6)
Hence, The general form of equation with vertex is
⇒ y = a (x - h)² + k
where (h, k) are the vertex.
So, the equation of g(x) form is
⇒ g(x) = (x + 4)² + 6
Therefore, Option D is correct.
Learn more about the function visit:
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Solve the equation 3/2(y-1) =y+5 and represent the solution on number line and on the cartesian plane...... pls solve it and spam answers will be reported and if it is truly the correct answer i will 100% sure mark it as brainleist
Answer:
y = 13
Step-by-step explanation:
Step 1: Distribute
3/2y - 3/2 = y + 5
Step 2: Subtract y on both sides
1/2y - 3/2 = 5
Step 3: add 3/2 on both sides
1/2y = 13/2
Step 4: Divide both sides by 1/2
y = 13
Answer:
y = 13.
Step-by-step explanation:
3/2(y-1) = y+5
3/2y - 3/2 = y + 5
3/2y - y = 5 + 3/2
1/2y = 6 and 1/2; 6.5; 13/2
y = 13.
To check out work...
3/2(13 - 1) = 13 + 5
3/2(12) = 18
3 * 6 = 18
18 = 18
On a number line, all you need to do is plot a point where it says 13. On a cartesian plane, you would have a horizontal line that expands infinitely in each direction, where y = 13.
Hope this helps!
Write an equation in point-slope form for each line (If possible please show work)
Answer: y-2=1/4(x-1)
Step-by-step explanation:
The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.
y-2=1/4(x-1)
For every 10 minutes that Tia plays on the computer, she plays outside
for 19 minutes. What is the ratio of minutes Tia plays on the computer
to minutes she plays outside?
Answer: 10:19
Step-by-step explanation:
Time she plays on computer = 10 minutes
Time she plays outside = 19
Ratio will be 10:19
-28=7(x-7) What does x=
Answer:
so x=3
Step-by-step explanation:
-28=7(x-7)
opening the brackets by multiplying
-28=7x-49
adding 49 on both sides
-28+49=7x-49+49
21=7x
dividing 7 on both sides
21/7=7x/7
x=3
i hope this will help you :)
Answer:
-28=7(x-7)
First expand the terms on the right side
That is
-28 = 7x - 49
Group like terms
7x = -28 + 49
7x = 21
Divide both sides by 7
7x/7 = 21 /7
x = 3
Hope this helps
(Help Please It would be greatly appreciated) Which of these are true statements about the sine function? Choose all that are correct.
Answer:
A is wrong
B is correct
C is correct
D is wrong
E is wrong
F is correct
Step-by-step explanation:
Here, we want to select the correct options about the sine function.
A. is wrong
Let’s use a case of 30 degrees angle
Sin(-30) = -0.5
Sin(30) = 0.5
B is correct
sin(-30) = -0.5
-sin(30) = -0.5
C. C is correct
Sine function is an odd function.
By mathematical definition, we say a function is odd if for any value x of the function; f(-x) = -f(x)
This is obtainable and clear about the sine function from earlier options
D. Is wrong
E. is wrong
F. is correct
The period of the sine function is 2 pi
The period of a function is the time distance between two peaks or crests
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The speed of a car.
Step-by-step explanation:
All the other answers are discrete.
Answer:
second one
Step-by-step explanation:
The speed of a car is a data that changes over time and it is a countinuous data
While other examples are only discrete data since they contain quantities
Please please help me! Here is a graph of y=7-x for values x from 0 to 7.
Answer:
Step-by-step explanation:
hello,
pls find below the graph
we need to find the point of intersection between both lines
which is (4,3)
hope this helps
The solution for the given system of linear equations is (4, 3).
Given that, here is a graph of y=7-x for values x from 0 to 7.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
The given system of linear equations
y=7-x -------(I) and y=x-1 -------(II)
From equation (I) and (II),
7-x=x-1
⇒ 2x=8
⇒ x=4
So, y=7-x=3
Thus, (x, y)=(4, 3)
Therefore, the solution for the given system of linear equations is (4, 3).
To learn more about the graph visit:
brainly.com/question/14375099.
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In 1000 sq. meter of land a farmer cultivated 765 kg of rice with the wastage of 23.5%.I) Find the weight of the wastage. II) Find the weight and percentage of rice cultivated.
Answer:
i. weight of wastage(kg) = 179.775 kg
ii. weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg
percentage of rice cultivated = 100 - 23.5 = 76.5%
Step-by-step explanation:
A land of 1000 sq. meter is used to cultivate 765 kg of rice with wastage of 23.5%.
i. The wastage in percentage is 23.5% but the weight of the wastage in weight is 23.5% of 765 kg
weight of wastage = 23.5/100 × 765
weight of wastage = 17977.5/100
weight of wastage(kg) = 179.775 kg
ii. weight and percentage of rice cultivated.
weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg
percentage of rice cultivated = 100 - 23.5 = 76.5%