The number of people who can go to the amusement park is 8.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given: the group of friends had $280.
For parking= $19.50
Remaining will be,
=$(280-19.50)
= $ 260.5
Cost of ticket per person = $33.75
Thus, number of tickets they can buy
=260.5 / 33.75
=7.718 = 8 peoples
Hence, number of people who can go to the amusement park is 8.
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lateral surface for a triangular prism l=8 w=4 h=6
Answer:
? i need help
Step-by-step explanation:
Hey y’all I need this answer quickly!!!
3/4 - 1/5
Answer:
[tex]\sf \dfrac{11}{20} \quad or \quad 0.55[/tex]
Explanation:
[tex]\rightarrow \sf \dfrac{3}{4} - \dfrac{1}{5}[/tex]
make the denominators same by lcm
[tex]\rightarrow \sf \dfrac{5(3)}{20} - \dfrac{4(1)}{20}[/tex]
expand the following
[tex]\rightarrow \sf \dfrac{15}{20} - \dfrac{4}{20}[/tex]
Join the fractions together
[tex]\rightarrow \sf \dfrac{15-4}{20}[/tex]
Subtract the integers
[tex]\rightarrow \sf \dfrac{11}{20} \quad or \quad 0.55[/tex]
Answer:
11/20 or 0 whole 11/20 or 0.55
Step-by-step explanation:
[tex]3/4 - 1/5[/tex]Find the least common multiple (LCM) of 4 and 5 at first:
We can't do the LCM of 5 and 4,so just multiply them, 5*4 = 20
Now,
For 3/4 : divide 20 by 4,then multiply the result by 3.For 1/5 : divide 20 by 4, then multiply the result by 1. Simple!
[tex] \cfrac{15 - 4}{20} [/tex]Subtracting the numerators,
[tex] \boxed{\cfrac{11}{20} }[/tex]As a whole number:
[tex]\boxed{0 \cfrac{11}{20} }[/tex]As a decimal:
[tex]\boxed{0.55 }[/tex]HELP FACTORISE ITS DUE IN TODAY PPLEASE
Answer:
ab(7a+b-2)
Step-by-step explanation:
see the common and take out the common parr
Answer:
its all about the formula =
(a+b)2 =a2 +2ab=b2
Step-by-step explanation:
Translate the algebraic expression below into a written expression.
5x ^ 3 + 2x ^ 2 - 9
A. five times X cubed plus two times X squared plus nine
B. five times X cubed and two times X squared minus nine
C. five times X squared plus two times X cubed minus nine
D. the sum of five times X squared and two times X cubed minus nine
Answer:
B
Step-by-step explanation:
five times x cubed plus/and two times x squared minus nine.
Could these triangles be congruent? yes, if ab ≅ de yes, if bc = 7 yes, if ab ≅ ef no, because the hypotenuses must have different lengths
Yes, the triangles are congruent if AB ≅ DE.
Criteria for the Congruency of two Triangles
If two triangles share the same sides and angles, they are said to be congruent triangles.
Triangles are tested for congruence using the following 4 criteria:
1) Angle-side-angle(ASA): Two angles and a side of a triangle are congruent if they are equal to two angles and the corresponding side of another triangle.
2) Side-side-side(SSS): Two triangles make congruent triangles if all three sides of one triangle are equal to three sides of another.
3) Side angle side(SAS): A triangle is congruent if its two sides and any included angles are equivalent to those of another triangle's two sides and corresponding angle.
4) Hypotenuse - leg(HL): If a triangle's hypotenuse and one of its legs are equal, then the triangle's hypotenuse and leg are also equal.
Checking for Congruency in the Given Triangles
ΔDEF and ABC have a equal angles, ∠F=∠B, as well as a pair of equal sides, DF = AC.
Thus, in order to satisfy the SAS criterion of congruent triangles, AB = DE
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Answer:
(D) no, because the hypotenuses must have different lengths
Step-by-step explanation:
What is the factored form of 50x^2-8
Answer:
2(5x-2)(5x+2)
Step-by-step explanation:
solve 3(10)^x = 30,000
Step-by-step explanation:
We will need to use logs here...
First divide each side by 3
[tex]3(10)^x=30000[/tex]
[tex]10^x=10000[/tex]
Then take the log of each side
Keep in mind that [tex]log_{10} (10)[/tex] gets canceled out to leave x
[tex]log_{10} (10^x)=log(10000)[/tex]
Finally, log(10000) = 4 because [tex]10^4=10000[/tex]
[tex]x = 4[/tex]
how many triangles are in a 18 sided polygon
Answer:
18Step-by-step explanation:
how many triangles are in a 18 sided polygon
An 18 sided polygon, sometimes also called an octakaidecagon, it has 18 sides and therefore is made up of 18 triangles and has 18 vertices.
(look at the picture)
Please help me with my math
Answer:
x = 120
y = 21
Step-by-step explanation:
Since j and k are parallel, the sum of x and 60 would be 180 because they are supplementary:
x + 60 = 180 subtract 60 from both sides
x = 120
The measure of x and (4y+36) is equal because they are alternate angles since the horizontal lines are also stated as parallel:
we know x = 120 so
120 = 4y + 36 subtract 36 from both sides
84 = 4y divide both sides by 4
21 = y
Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (−3, 0).
Use the polygon tool to graph the dilated figure.
(See attached image for details.)
The vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)
How to graph the dilated image?The given parameters are:
Center, (a, b) = (-3, 0)
Scale factor, k = 1/2
The vertices of the figure are
(5,4), (-5, 4) and (3,8)
The rule of dilation is represented as:
(x, y) ⇒ (k(x -a), k(y -b))
So, we have:
Point (5,4)
(x, y) ⇒ (1/2(5 + 3), 1/2(4 -0))
(x, y) ⇒ (4, 2)
Point (-5,4)
(x, y) ⇒ (1/2(-5 + 3), 1/2(4 -0))
(x, y) ⇒ (-1, 2)
Point (3,8)
(x, y) ⇒ (1/2(3 + 3), 1/2(8 -0))
(x, y) ⇒ (3, 4)
So, the vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)
See attachment for the image
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Find the common multiple of 5 and 6 between 100 mathfind the common multiple of 5 and 6 between hundred
Answer
100 multiples of 5 greater than 100 are:
Step-by-step explanation:
105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580,
If 24 marbles have a mass of 60g, what would the mass of 60 marbles be?
If 24 marbles have a mass of 60 g, then each marble has a mass of [tex]60/24=2.5 \text{ g}[/tex].
So, 60 marbles have a mass of 60(2.5)=150 g
Answer:
150 g
Step-by-step explanation:
24 marbles = 60 g
1 marble = 60÷24 = 2.5 g
60 marbles = 2.5 × 60 = 150 g
Hope this helped and have a good day
Monomal by a Dinormal
What is the product of x(x + 1)?
O 2x+x
0x2+2x
022 +1
O x² + x
will give brainliest
Answer:
a
Step-by-step explanation:
.....................
What is the factored form for the quadratic function below?
y = x² + 9x + 8
Oy=(x-9)(x - 1)
Oy=(x-8)(x - 1)
Oy= (x + 9) (x + 1)
Oy= (x + 8) (x + 1)
Answer:
D. y = (x + 8) (x + 1)
Explanation:
[tex]\sf y = x^2 + 9x + 8[/tex]
[tex]\rightarrow \sf y = x^2 + 9x + 8[/tex]
middle term split
[tex]\rightarrow \sf y = x^2 + 8x +x + 8[/tex]
factor the common terms
[tex]\rightarrow \sf y = x(x + 8) + 1(x + 8)[/tex]
collect into groups
[tex]\rightarrow \sf y = (x + 1)(x + 8)[/tex]
Option D
Consider the transformation shown. 2 triangles are shown. The first is labeled pre-image and the second is labeled image. Both triangles have congruent angle measures. The pre-image has side lengths of 6, 10, and 8. The image has side lengths of 3, 5, and 4. Use the drop-down menus to complete the sentence. The transformation is because the preserved.
The transformation is non-rigid because the side lengths are not preserved.
How to complete the drop-down menus?The drop-down menus and the image of the triangles are not given.
However, the question can still be solved using the available parameters.
The given parameters are:
Pre-image: 6, 10, 8
Image: 3, 5, 8
See that the side lengths of the image and the pre-image are not the same
This means that the transformation is a non-rigid transformation
Hence, the complete statement is the transformation is non-rigid because the side lengths are not preserved.
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Drag each tile to the correct box. Not all tiles will be used.
Consider function f.
Place the steps for finding in the correct order.
The steps to find the inverse function are given in the development of the answer of this problem.
How to find the inverse function?The inverse of a function y = f(x) is found exchanging x and y and isolating y.
In this problem, the function is:
[tex]f(x) = \sqrt{7x - 21}[/tex]
Then the steps to find the inverse function is given as follows:
[tex]y = \sqrt{7x - 21}[/tex]
[tex]x = \sqrt{7y - 21}[/tex]
[tex]x^2 = 7y - 21[/tex]
[tex]x^2 + 21 = 7y[/tex]
[tex]\frac{1}{7}x^2 + 3 = y[/tex]
[tex]\frac{1}{7}x^2 + 3 = f^{-1}(x)[/tex], where [tex]x \geq 0[/tex].
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If f(x)=2x² +5√(x-2), complete the following statement:
The domain for f(x) is all real numbers ____ than or equal to 2.
Free Response:
By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
How to determine the domain of a function with radical components
Domain is the set of x-values such that the value of the function exists. By algebra we know that the domain of polynomials is the set of all real numbers, whereas the domain of radical functions is the set of x-values such that y ≥ 0. If we know that f(x) = 2 · x² + 5 · √(x - 2), then the domain is restricted by the radical component and defined by x ≥ 2.
By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.
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Find the measure of x.
42°
X
17
x= [ ?
Round to the nearest hundredth.
Answer:
18.88
Step-by-step explanation:
tan 42° = 17/x
x= 17/(tan 42°)
x = 17/(0.9004)
x = 18.88
Which inequality describes the acceptable weights for the suitcase?
x≤ 32.5 or x ≤ 47.5
32.52x2 47.5
x≤ 32.5 or x ≥ 47.5
32.5 ≤ x ≤ 47.5
Based on the given options, the inequality for the acceptable weights of the suitcase is 32.5 ≤ x ≤ 47.5.
What is the acceptable weight for the suitcase?You didn't include the full question but this question can be answered based on the given options.
When inequalities are written, there is no inclusion of "or" which eliminates options A and C.
It is illogical to have an inequality as 32.5 ≥ x ≥ 47.5. This is because if 32.5 is larger or equal to x, then x cannot be larger than 47.5. This is mathematically impossible.
This leaves the likely answer as 32.5 ≤ x ≤ 47.5 which means that the weight of the suitcase has to be larger than or equal to 32.5 but less than or equal to 47.5.
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Answer:
32.5 ≤ x ≤ 47.5
Step-by-step explanation:
What is the measure of an exterior angle of a regular hexagon?
360°
180°
30°
60°
Answer:
60
Step-by-step explanation:
60 because a regular hexagon has a exterior angle measure of 60.
A regular hexagon has 6 sides you divide 360 by 6 which is 60
Ans: 60
Find the nth term of
this quadratic sequence
4, 7, 12, 19, 28, … what is the nth term
Answer:
[tex]n {}^{2} + 3[/tex]
Which equations are true for x = -2 and x = 2? Select two options
A x²-4=0
B x²=-4
B 3x² + 12 = 0
C 4x² = 16
D 2(x-2)² = 0
Answer:
A and C
Step-by-step explanation:
solving the equations
A
x² - 4 = 0 ( add 4 to both sides )
x² = 4 ( take square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2 ← required solution
B
x² = - 4 ← has no real solutions
C
4x² = 16 ( divide both sides by 4 )
x² = 4 ( take square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2 ← required solution
D
2(x - 2)² = 0 , then
x- 2 = 0 ( add 2 to both sides )
x = 2 ← not the required solution
Answer:
Answer A and C
Step-by-step explanation:
Let us solve the equations one by one and let us check whether the answers are matching with the answers given in the questions.
A) x² - 4 = 0
( x² - 2² ) = 0
( x -2 ) ( x + 2 ) = 0
∴ x - 2 = 0 or x + 2 = 0
x = 2 x = -2 ( Matched )
B) x² = -4
x = ±√-4 ← no real solutions (Not matched )
B) 3x² + 12 = 0
3 ( x² + 4 ) = 0
3 ( x² + 2² ) = 0 ← no real solutions (Not matched)
C) 4x² = 16
Divide both sides by 4.
x² = 4
x = ±√4
∴ x = 2 or x = -2 (Matched)
D) 2 ( x - 2 )² = 0
(2x - 4)² = 0
4x² - 16x + 16 = 0
Divide the whole equation by 4.
x² - 4x + 4 = 0
x² - 2x - 2x + 4 = 0
x ( x - 2 ) - 2 ( x - 2 ) = 0
( x - 2 ) ( x - 2) =
∴ x - 2 = 0 or x - 2 = 0
x = 2 x = 2 ( Not matched )
A restaurant offers a $12 dinner special that has choices for an appetizer, choices for an entrée, and choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?.
Answer:
4 is my answer:))))) maybe this will help
Answer:
1
Step-by-step explanation:
it depends on how many choices there are
If there is 1 choice for an appetizer, 1 choice for an entrée, and 1 choice for a dessert
(1 * 1 * 1 = 1)
then there is 1 meal choice
If there are 7 choices of appetizers, 12 choices of entrée, and 6 choices of dessert.
(7 * 12 * 6 = 504)
then there are 504 different options
If there are 5 choices for an appetizer, 12 choices for an entrée, and 3 choices for a dessert
(5 * 12 * 3 = 180)
then there are 180 options
12 choices for entrées, 10 choices for side dishes, and 6 choices for dessert
(12 * 10 * 6 = 3240)
then there are 3240 meal options
you have to multiply the number of entrées (e), meals (m), and desserts (d)
e * m * d = x
you are solving for x, which is the different meals available aka your answer.
so plug in the numbers and that should give you the answer!
hope this helps:)
can someone help me with this ??
Order the following numbers from least to greatest.
According to the given values, the numbers from least to greatest is ∛64, 4.222.. √19
Descending and ascending orderOrdering a sequence of number from least to greatest is known as the ascending order of magnitude
Given the following parameters
∛64, √19 and 4.222...
The cube root of 64 is 4
The square root of 19 is 4.36
While the repeating decimal 4.2. can be 4.2222...
Ordering from least to greatest is 4, 4.2222, 4.36
According to the given values, the numbers from least to greatest is ∛64, 4.222.. √19
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please give me answer friend
Answer:
90°
Step-by-step explanation:
right angle - 90°
.....
Answer:
65
Step-by-step explanation:
4. Fill in the blanks for the following proof:
Answer:
Step-by-step explanation:
Select the correct answer from each drop-down menu. polygon abcde has the vertices a(2, 8), b(4, 12), c(10, 12), d(8, 8), and e(6, 6). polygon mnopq has the vertices m(-2, 8), n(-4, 12), o(-10, 12), p(-8, 8), and q(-6, 6). a transformation or sequence of transformations that can be performed on polygon abcde to show that it is congruent to polygon mnopq is a . if polygon mnopq is translated 3 units right and 5 units down, it will coincide with a congruent polygon, vwxyz, with its vertices at
1). Option C
2). Option A
What is Polygon?Polygon is given as a closed two-dimensional figure with three or more straight lines.
The given vertices of polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8) and E(6, 6)
After reflection new polygon formed MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8) and Q(-6, 6).
By comparing the vertices we find the x-coordinates of polygon ABCDE have been changed to MNOPQ by negative notation only. Y- coordinates are same.
Therefore, polygon ABCDE has been reflected across the y-axis.
Option C. is the answer.
If polygon MNOPQ is translated 3 units right and 5 units down then the new vertices of congruent polygon VWXYZ will be
M(-2, 8) = [(-2 - 3), (8 + 5)] = (-5, 13)
N(-4, 12) = [(-4 - 3), (12 + 5)] = (-7, 17)
O(-10, 12) = [(-10 - 3),(12 + 5)] = (-13, 17)
P(-8, 8) = [(-8 - 3), (8 + 5)] = (-11, 13)
Q(-6, 6) = [(-6 -3),(6 + 5)] = (-9, 11)
Thus, Option A. is the correct option.
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Answer:
Step-by-step explanation:
the
a sign at the summit of a mountain pass says that the grade for the next 5 miles of straight driving is 4.2 degrees. Determine the change of elevation in feet for a car at the end of the 5 mile drive
Using the slope concept, it is found that the change of elevation for a car at the end of the 5 mile drive is of 0.3672 miles.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we have that:
The vertical change is the change of elevation.The horizontal change is of 5 miles.The angle is of 4.2º.Hence:
tan(4.2º) = h/5
h = 5 x tan(4.2º)
h = 0.3672.
The change of elevation for a car at the end of the 5 mile drive is of 0.3672 miles.
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What is the value of k? -5 -3 3 5
Answer:
k = -3
Step-by-step explanation:
Generally, we determine k by observing
the vertical translation of the original graph
in this case it’s the graph of f
and count the number of units by which it’s translated.
Checking the sign of k :
If the graph is translated up then k > 0
If the graph is translated down then k < 0
……………………………………………………………………
in order to get the graph of g ,the graph of f
is translated 3 units vertically but down
then
k = -3
How do you write an equation in function form?
Answer: Writing an equation in function form. You want to remove the x term from the side y is on and move it to the other side of the equal sign. To do this either add or subtract the x term from both sides. Next divide by the coefficient of the y term. Now your equation is in function form.
explanation: like 57 * Y =142500
what is the number for Y if u don't know u could divided 142500 by 57 and it equals? 2500;) hope I helped
