Answer:
Step-by-step explanation:
x= cost of 1 adult ticket
y=cost of 1 kid ticket
so 1 adult+4 childeren=x+4y=19
2 adults and 2 childern=2x+2y=17
elimination
x+4y=19
2x+2y=17
multiply firest equation by -2
-2x-8y=-38
add to first equatuion
-2x-8y=-38
2x+2y=17 +
0x-6y=21
-6y=-21
multiply -2
6y=21
divide by 6
y=21/6=7/2
subsitute
2x+2y=17
2x+2(7/2)=17
2x+14/2=17
2x+7=17
subtract 7 from both sides
2x=10
divide by 2
x=5
1 adult ticket costs £5
1 kid ticket costs £7/2 or £3 and 1/2 or £3.5
hope this helps and give me brainliest pls
Plz answer right away
Answer:
1 whole and 1 over 12
Step-by-step explanation:
Answer:
Step-by-step explanation:
7
12
+
3
6
=
7
12
+
3
6
=
7
12
+
1
2
=
7
12
+
6
12
=
7+6
12
=
13
12
(Decimal: 1.083333)
What is the scale factor of this dilation?
A) 1/2
B) 1/3
C) 2
D) 3
Answer:
2
Step-by-step explanation:
From X to the black dot it is 2 and from the black dot to Y it is 3
From X' to the black dot it is 4 and from the black dot to Y' it is 6
The lengths are getting twice as bigger
Answer:
2
Step-by-step explanation:
U can use this formula
Image 1/image 2
Maria had $22 to spend on five pencils. After buying them she had $12. How much did each pencil cost?
Answer:
$2
Step-by-step explanation:
Answer:$2.04
Step-by-step explanation:
Tasty Treats Baking Company asked a random sample of 100 students in the senior class at Ridgemont High School the question, “Do you prefer chocolate or butterscotch Tasty Treats?” Everyone surveyed had to pick one of the two answers, and 42%, percent said they preferred chocolate.
Based on this data, which of the following conclusions are valid?
Choose 1 answer:
A) About 42%, percent of all students at Ridgemont High prefer chocolate.
B)About 42%, percent of all students in the senior class at Ridgemont High prefer chocolate.
C)42%, percent of this sample preferred chocolate, but we cannot conclude anything about the population.
Answer:B!!
Step-by-step explanation:
Answer a is incorrect because only the seniors were questioned and answer c is incorrect because nothing was mentioned in the question about only testing males.
Your answer is B
Last year Golden State Warriors won 80% of the first 15 matches. Then they won the rest of the three matches. What percent of all matches did they win?
Answer:
83.33%
Step-by-step explanation:
We first need to evaluate 80% of the first 15 matches in order to determine the number of watches out of 15 which they won.
80 % of 15 = 80/100 * 15 = 12
12 matches out of the first 15 were won.
Since the team won the rest of the 3 remaining matches, the total number of matches won becomes;
12 + 3 = 15
The team thus won 15 matches out of a total of 15 + 3 =18 matches .
The percent of all matches won is ;
15/18 * 100 = 83.33%
Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.
The equation of an ellipse with a center at origin, a height of 12 units, and a width of 19 units is x^2/(9.5^2) + y^2/(6^2) = 1.
Explanation:The student is asking for an equation of an ellipse. An ellipse has a standard form equation given by x^2/a^2 + y^2/b^2 = 1, where 'a' is the semi-major axis and 'b' is the semi-minor axis. The semi-major axis and the semi-minor axis are half of the major axis (width) and minor axis (height) respectively. Here, the width or major diameter of the ellipse is given as 19 units and the height or minor diameter as 12 units.
Thus, the semi-major axis is 19/2 = 9.5 and the semi-minor axis is 12/2 = 6. As the ellipse's center is at the origin, the equation of the ellipse is given by: x^2/(9.5^2) + y^2/(6^2) = 1.
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The equation of the ellipse in standard form with a center at the origin, a height of 12 units, and a width of 19 units is x²/(19/2)² + y²/(6)² = 1.
Explanation:The equation of an ellipse in standard form with the center at the origin is given by x²/a² + y²/b² = 1, where a is the semimajor axis (half the width) and b is the semiminor axis (half the height).
Given a width of 19 units and a height of 12 units, the semimajor axis will be half of the width and the semiminor axis will be half of the height. So, the equation of the ellipse will be x²/(19/2)² + y²/(12/2)² = 1.
Simplifying, x²/(19/2)² + y²/(6)² = 1. This is the equation of the ellipse in standard form with a height of 12 units and a width of 19 units.
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I'm not sure understanding this at ALLLLL
Answer:
17. Scale Factor is 3:1
18. Scale Factor is 1:3
Step-by-step explanation:
Scale Factor: In two similar shapes, the ratio of their corresponding sides is called scale factor.
17. Give the scale factor of Figure A to Figure B
Figure A has sides:
Hypotenuse = 15
Perpendicular = 12
Base = 9
Figure B has sides:
Hypotenuse = 5
Perpendicular = 4
Base = 3
So, if we divide all sides of figure A by 3 we get Figure B
So, Figure A : Figure B
3:1
18. Give the scale factor of Figure B to Figure A
Figure B has sides:
Hypotenuse = 5
Perpendicular = 4
Base = 3
Figure A has sides:
Hypotenuse = 15
Perpendicular = 12
Base = 9
If we multiply 3 with the sides of Figure B we can get the sides of Figure A.
So scale factor is 3.
So, Figure B : Figure A
1:3
Answer:
17) 3 : 1
18: 1 : 3
Step-by-step explanation:
Figure A and Figure B are similar triangle.
Scale Factor of A : B
= 9 : 3
= 3 : 1
Scale Factor of B : A
= 3 : 9
= 1 : 3
which sequences are arithmetic?check all that apply.
ANSWER
Option C and E
EXPLANATION
An arithmetic sequence has a constant difference among the consecutive terms.
The sequence
[tex]18,5.5,-7,-19.5,-32,...[/tex]
has a constant difference of -12.5
[tex]d = 5.5 - 18 = - 7 - 5.5 = - 19.5 - - 7 = - 32 - - 19.5 = - 12.5[/tex]
The sequence
[tex]16,32,48,64,80,...[/tex]
also has a common difference of 16
[tex]d = 32 - 16 = 48 - 32 = 64 - 48 =80 -64 = 16[/tex]
Therefore correct answers are C and E
Answer:
Step-by-step explanation:
An arithmetic sequence has a constant difference among the consecutive terms.
The sequence has a constant difference of -12.5
The sequence also has a common difference of 16
Therefore correct answers are C and E
please answer these two before 1:20 pm!!! thanks
Answer: You should use dot plot.
Step-by-step explanation:
1. you should use a dot plot
(correct dot plot)
Its C
How many friends has three pencils?
3
20. dot plot, box plot, and histogram.
There are 12 inches in 1 foot. Convert 3 feet to inches.
A) 4 inches
B) 9 inches
C) 12 inches
D) 36 inches
Answer: D) 36 Inches
Step-by-step explanation:
Answer:
D)36 inches
Step-by-step explanation:
3 feet × (12 inches/1 feet) = 36 inches
HELP PLS!!! 15 POINTS!
Data Set #2 - Number of books read by students during their 7th grade Year
1,15,8,3,4,6,9,2,1
Median=
Mode=
Mean=
Range=
Answer=
Answer:
See below in bold.
Step-by-step explanation:
Arrange in order first:
1 1 2 3 4 6 8 9 15
Median ( middle number) = 4.
Mode ( the number which occurs most) = 1.
Mean = (1+1+2+3+4+6+8+9+15) = 49/9 = 5.4.
Range = 15 - 1 = 14.
List the numbers in order from smallest to largest:
1, 1 , 2, 3, 4, 6, 8, 9, 15
Median is the Middle value of the set = 4
Mode is the number that appears the most = 1
Mean is the average add the numbers together and divide by the quantity of numbers:
1 + 1 +2 + 3+ 4+ 6 +8 + 9+15 = 49 / 9 = 5.44
Range is the difference between the largest number and smallest number: 15 -1 = 14
I need help on 8 and 9 i don’t know how to do them lol
Answer:
8) h = 30
r = 16
l= 34
Surface Area= 2514.28
Volume= 8045.71
9) r = 12
h = 2
l = 5/2
Surface Area= 908.08
Volume= 298.42
Step-by-step explanation:
8)
h = 30
r = 16
l=?
Since its is right angled triangle, using pythogras theorem we can find the length of cone
l^2 = h^2 + r^2
l^2 = (30)^2 + (16)^2
l^2 = 900 + 256
l^2 = 1156
Taking square root on both sides
√l^2 = √1156
l = 34
Surface Area = [tex] [tex]\pi r(r+\sqrt{h^2+r^2} )[/tex][/tex]
π = 22/7, r = 16, h=30
Surface Area = [tex]=\frac{22}{7}* 16(16+\sqrt{(30)^2+(16)^2})\\=\frac{22}{7}* 16(16+34)\\=\frac{22}{7}* 800\\=2514.28[/tex]
Volume = [tex]\pi r^2\frac{h}{3}[/tex]
π = 22/7, r = 16, h= 30
Volume = [tex]\frac{22}{7} * (16)^2 *\frac{30}{3}\\=\frac{22}{7} * 256 *10\\= 8045.71[/tex]
9)
r = ?
h = 2
l = 5/2
Since its is right angled triangle, using pythogras theorem we can find the radius of cone
l^2 = h^2 + r^2
(5/2)^2 = (30)^2 + (r)^2
25/4 = 900 + r^2
r^2 = 900 * 4/25
Taking square root on both sides
√r^2 = √144
r = 12
Surface Area = [tex] [tex]\pi r(r+\sqrt{h^2+r^2} )[/tex][/tex]
π = 3.14, r = 12, h=2
Surface Area = [tex]=3.14* 12(12+\sqrt{(12)^2+(2)^2})\\=3.14* 12(12+12.1)\\=3.14* 289.2\\=908.08[/tex]
Volume = [tex]\pi r^2\frac{h}{3}[/tex]
π = 22/7, r = 12, h= 2
Volume = [tex]3.14 * (12)^2 *\frac{2}{3}\\=3.14 * 144 *0.66\\= 298.42[/tex]
Answer:
8) h = 30
Step-by-step explanation:
PLEASE HELP!!
A motor-powered bike has wheels that travel a linear distance of approximately 62.8 inches in one
revolution. What is the central angle the bike wheels turn through, in degrees, when the bike travels 2
inches?
Answer:
A motor-powered bike has wheels that travel a linear distance of approximately 62.8 inches in one
revolution. What is the central angle the bike wheels turn through, in degrees, when the bike travels 2
inches?
Step-by-step explanation:
PLEASE HELP!!
A motor-powered bike has wheels that travel a linear distance of approximately 62.8 inches in one
revolution. What is the central angle the bike wheels turn through, in degrees, when the bike travels 2
inches?
The central angle the bike wheels turn through, in degrees when the bike travels 2 inches will be 11.46°.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
Area of the circle = πr² and the perimeter of the circle = 2πr where r is the radius of the circle.
The linear distance in one revolution = perimeter of a circle or wheel
Perimeter = 2πR
R = 62.8/(2π)
R = 9.99 = 10 inches.
When L = 2 inches the center angle will be as,
Ф = L/R
Ф = 2/10 = 0.2 radian
In degree → 0.2 × 180/π = 11.46°
Hence "The central angle the bike wheels turn through, in degrees when the bike travels 2 inches will be 11.46°".
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a square painting has an area of 81x^2-90x-25. A second square painting has an area of 25x^2+30x+9. What is an expression that represent the difference of the area of the paintings? show two ways to find the solution
Answer:
The answer in the procedure
Step-by-step explanation:
Let
A1 ------> the area of the first square painting
A2 ----> the area of the second square painting
D -----> the difference of the areas
we have
[tex]A1=81x^{2}-90x-25[/tex]
[tex]A2=25x^{2}+30x+9[/tex]
case 1) The area of the second square painting is greater than the area of the first square painting
The difference of the area of the paintings is equal to subtract the area of the first square painting from the area of the second square painting
D=A2-A1
[tex]D=(25x^{2}+30x+9)-(81x^{2}-90x-25)[/tex]
[tex]D=(-56x^{2}+120x+34)[/tex]
case 2) The area of the first square painting is greater than the area of the second square painting
The difference of the area of the paintings is equal to subtract the area of the second square painting from the area of the first square painting
D=A1-A2
[tex]D=(81x^{2}-90x-25)-(25x^{2}+30x+9)[/tex]
[tex]D=(56x^{2}-120x-34)[/tex]
Final answer:
To find the difference between the areas of two square paintings, subtract the second area from the first to get an expression. By direct subtraction and using the distributive property, both methods yield the expression[tex]56x^2 - 120x - 34[/tex].
Explanation:
To find an expression that represents the difference between the areas of two square paintings, we simply subtract the area of the second painting from the area of the first painting.
The area of the first painting is [tex]81x^2 - 90x - 25,[/tex] and the area of the second painting is [tex]25x^2 + 30x + 9.[/tex]To find the difference, calculate [tex](81x^2 - 90x - 25) - (25x^2 + 30x + 9).[/tex]
Here's the direct subtraction method:
Subtract the [tex]x^2[/tex] terms: [tex]81x^2 - 25x^2 = 56x^2[/tex].
Subtract the x terms: -90x - 30x = -120x.
Subtract the constant terms: -25 - 9 = -34.
Combining these, we get the expression representing the difference in areas:[tex]56x^2 - 120x - 34.[/tex]
Another way to find the solution is using the distributive property to first factor out a negative from the second polynomial, making it easier to subtract:
Rewrite as[tex]: (81x^2 - 90x - 25) - 1*(25x^2 + 30x + 9).[/tex]
Distribute the negative sign:: [tex](81x^2 - 90x - 25) - 1*(25x^2 + 30x + 9)..[/tex]
Now proceed as in the direct subtraction method above.
The final result is the same: [tex]56x^2 - 120x - 34.[/tex]
Tim needs 18 pens he can buy them in packages of 6 9 or 12 he will buy only one type of package which packages could Tim buy write 2 different ways that Tim could buy exactly 18 pens
Answer:
See below.
Step-by-step explanation:
Either 3 packets of 6 pens or
2 packets of 9 pens.
he could buy 3 packs of 6
or 2 packs of 9
the diameter of a circle is 4 feet. what is the circumference
Answer:
C=12.57 ft
Step-by-step explanation:
Answer: 12.56 feet.
Step-by-step explanation:
Solve the equation.
5+0.5(6n+14)=3
Please explain this to me because I don't get it and feel like cheating going on Brainly.
Answer:
n = - 3
Step-by-step explanation:
It's not cheating unless this question is from a quiz or test.
5+0.5(6n+14)=3 Subtract 5 from both sides.
5-5 + 0.5(6n+14) = 3 - 5 Combine
0.5(6n+14) = - 2 There are two ways to go. I prefer dividing by 0.5
0.5(6n+14)/0.5 = -2/0.5 Do the division
6n + 14 = - 4 Subtract 14
6n+14-14= -4-14 Combine
6n = - 18 Divide both sides by 6
6n/6 = - 18/6 Combine
n = - 3
The solution to the equation 5+0.5(6n+14)=3 will be n = - 3
WE are given the equation as;
5+0.5(6n+14)=3
We need to find the value of n here;
Subtract 5 from both sides.
5-5 + 0.5(6n+14) = 3 - 5
Combine
0.5(6n+14) = - 2
0.5(6n+14)/0.5 = -2/0.5
6n + 14 = - 4
6n+14-14= -4-14
6n = - 18
Divide both sides by 6
6n/6 = - 18/6
n = - 3
Therefore, the solution to the equation 5+0.5(6n+14)=3 is n = - 3
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Is Frieda’s work correct? Explain how she can check her solution.
z + 22 = 64
z + 22 – 22 = 64 – 22
z = 42
Answer:
by substitution
Step-by-step explanation:
To check if the solution to an equation is valid
Substitute the solution into the equation and if both sides agree then the solution is correct.
left side = z + 22 = 42 + 22 = 64 = right side
Hence z = 42 is the correct solution
The equation is given as:
[tex]z+22=64[/tex]
⇒[tex]z+22-22=64-22[/tex]
⇒[tex]z=42[/tex]
So, we have to put the value of z in the 1st equation then we can say whether Frieda's work is correct or not.
⇒[tex]42+22=64[/tex]
[tex]=RHS[/tex]
Hence, Frieda's work is correct.
What's an equation in math?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in maths when you do not know the exact number in a calculation.
What is an equation example?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
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Solve for x
|4x - 3| = 20
Answer: [tex]x=\frac{23}{4}[/tex] and [tex]x=-\frac{17}{4}[/tex]
Step-by-step explanation:
Given the equation [tex]|4x - 3| = 20[/tex], you can set up two cases:
Case 1: [tex]4x-3>0[/tex]
[tex]4x-3=20[/tex]
Solve for the variable "x", therefore you get:
[tex]4x=20+3\\\\x=\frac{23}{4}[/tex]
Case 2: [tex]4x-3<0[/tex]
[tex]-4x+3=20[/tex]
Solve for the variable "x". Then, you get:
[tex]-4x=20-3\\\\x=\frac{17}{-4}\\\\x=-\frac{17}{4}[/tex]
Therefore, the solution is:
[tex]x=\frac{23}{4}[/tex] and [tex]x=-\frac{17}{4}[/tex]
The function p(x) = - 2(x-9)2 + 100 is used to determines the profit on T-shirts sold for x dollars. What would the profit from sales be if the proce of the T-shirts were $15 a piece?
ANSWER
$28
EXPLANATION
The profit function is given as:
[tex]p(x) = - 2 {(x - 9)}^{2} + 100[/tex]
where x is the price of the T-shirt in dollars.
To find the profit on a T-shirt whose price is $15, we substitute x=15 into the function and simplify.
[tex]p(15) = - 2 {(15 - 9)}^{2} + 100[/tex]
We simplify to get:
[tex]p(15) = - 2 {(6)}^{2} + 100[/tex]
[tex]p(15) = -72+ 100[/tex]
[tex]p(15) = 28[/tex]
If P varies inversely as M2, and P= 8, while M=2, find M2 when P=10
Answer:
[tex]M^{2}=3.2[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
In this problem we have
[tex]P*M^{2}=k[/tex]
step 1
Find the value of k
For P=8, M=2
substitute
[tex]k=(8)(2)^{2}=32[/tex]
The equation is equal to
[tex]P*M^{2}=32[/tex]
step 2
Find the value of M²
when P=10
substitute the value of P in the equation
[tex]10*M^{2}=32[/tex]
[tex]M^{2}=3.2[/tex]
Find the volume of the sphere.
Either enter an exact answer in terms of Find the volume of π or use 3.14 for Find the volume of the sphere.
Either enter an exact answer in terms π or use 3.14 for π and round your final answer to the nearest hundredth.
Answer:
1436.03 units³
Step-by-step explanation:
The formula for the volume of a sphere of radius r is
V = (4/3)πr³. We'll use 3.14 for π.
Then:
V = (4/3)(3.14)(7 units)³. To the nearest hundredth: 1436.03 units³
Answer:
Step-by-step explanation:
Given
r = 7
pi = 3.14
Formula
V = (4/3) pi * r^3
Solution
V = (4/3) * pi * 343
V = (1.3333) * 3.14 * 343
V = 1435.99 You are going to get a lot of variation in this question: Everything depends on what value you use for 4/3. I used 1.3333 but it does go on. I would try this yourself. Whatever you get, enter it.
You are better off using 3.14 than using pi. You are still going to have to problem of how to represent 4/3
Kim took a total of 8 quizzes over the course of 2 weeks. How many weeks of school will Kim to attend this quarter before she will have taken a total of 20 quizzes? solve using unit rates
5 weeks
8×2.5=20
2×2.5=5
Please help! will mark!
To get the length of AC, you would add AB to BC
AB = 3x
BC = 2x +3
Add together:
3x + 2x +3 = 5x +3
The answer is A.
What is the square root of 114 to the nearest tenth
Answer:
10.7
Step-by-step explanation:
√114 = 10.7 <----to the nearest tenth
Answer:
10.7 to the nearest tenth.
Step-by-step explanation:
It will be between 10 and 11 because 10^2 = 100 and 11^2 = 121.
Using a calculator. It is 10.67707825.
Please include explanation! thank you!
L=4 and s=5 I’m to lazy to type it out
Answer:
L= 4
S= 5
Step-by-step explanation:
Given in the question, L+s = 9
So
L= 9-s
Substituting the value of L in the following equation
1.5L + 0.9s = 10.5
1.5 (9-s) + 0.9s = 10.5
13.5 - 1.5s +0.9s = 10.5
13.5 - 10.5 = 1.5s - 0.9s
3= 0.6s
s= 5
Now substituting the value of s in the equation L+s=9, we get the following
L= 9-5
L=4
Eli ran 9/16 of a mile and walked 1/2 of a mile. How much farther did Eli run than walk?
Write your answer as a fraction or as a whole or mixed number.
Answer: 1/16
Step-by-step explanation:
1/2 would become 8/16 so 9-8 equals 1 and then just add the denominator so 1/16
The lateral area of a right cone which has a base diameter of four units and a height of 10 units is:
since it has a diameter of 4, then its radius is half that, or 2.
[tex]\bf \textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=2\\ h=10 \end{cases}\implies LA=\pi (2)\sqrt{2^2+10^2} \\\\\\ LA=2\pi \sqrt{104}\implies LA\approx 64.076[/tex]
Answer:[tex]A = 64.076\ units^2[/tex]
Step-by-step explanation:
The lateral area of right cone is calculated by the following formula
[tex]A = \pi r *\sqrt{r^2 +h^2}[/tex]
Where r is the radius of the cone and h is the height
In this case we know that the diameter d of the base is:
[tex]d=2r[/tex]
So the radius is:
[tex]r=\frac{d}{2}\\\\r=\frac{4}{2}\\\\r=2\ units[/tex]
and
[tex]h=10\ units[/tex]
So the area is:
[tex]A = \pi*2 *\sqrt{2^2 +10^2}[/tex]
[tex]A = 64.076\ units^2[/tex]
Draw a graph that represents the equation y= x-2.
Answer:
Check attached graph
Step-by-step explanation:
Given equation is [tex]y=x-2[/tex].
Now we need to graph the given equation [tex]y=x-2[/tex].
To graph that we can find two points then join them by a straight line.
We are free to plug any number for x say x=0 and x=2
plug x=0
[tex]y=x-2=0-2=-2[/tex]
Hence first point is (0,-2).
plug x=2
[tex]y=x-2=2-2=0[/tex]
Hence first point is (2,0).
Now graph both points and joint them to get final graph as shown below.
What is the product of (6x – y)(2x – y + 2?
Answer:
Step-by-step explanation:
(6x - y)(2x - y + 2)=
= 12x^2 - 6xy + 12x - 2xy + y^2 - 2y
= 12x^2 - 8xy + 12x + y^2 - 2y
Answer:
B 12x2 – 8xy + 12x + y2 – 2y
Step-by-step explanation: