The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 301 people entered the park, and the admission fees collected totaled 814 dollars. How many children and how many adults were admitted? Your answer is number of children equals number of adults equals
Answer:
156 children145 adultsStep-by-step explanation:
Let number of adults be a and children be c
Then we have equations
a + c = 3014a + 1.5c = 814From the first equation we get a = 301 - c, we substitute a in the second equation:
4(301 -c) + 1.5c = 8141204 - 4c + 1.5c = 8142.5c = 1204 - 8142.5c = 390c = 390/2.5c = 156Then finding the value of a:
a = 301 - 156 = 14526. The width of a rectangle is 64 inches. The length of the rectangle is twice its width What is the perimeter of the rectangle? A 20 inches B. 40 inches c. 30% inches D. 885 inches
[tex] \large \orange{ \frak{Given :}}[/tex]
[tex] \\[/tex]
Width of rectangle = 64 in.[tex] \\ [/tex]
Length of the rectangle is twice its width.[tex] \\ \\ [/tex]
[tex] \large \orange{ \frak{To \: find:}}[/tex]
[tex] \\ [/tex]
Perimeter of rectangle[tex] \\ \\ [/tex]
[tex] \large \orange{ \frak{Solution:}}[/tex]
[tex] \\ [/tex]
We know :-
Length = twice of widthLength = 2 × widthLength = 2 × 64Length = [tex]\small \bf 128[/tex][tex] \\ \\ [/tex]
[tex] \large \orange{ \frak{Digram:}}[/tex]
[tex] \\ \\ [/tex]
[tex] \tt 64in.\begin{gathered} \small \large\boxed{\begin{array}{cc} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \\ \end{array}}\end{gathered} \\ \: \: \: \: \sf128in.[/tex]
[tex] \\ \\ [/tex]
Formula of perimeter of rectangle:-
[tex] \\ [/tex]
[tex] \bigstar \boxed{\rm{}perimeter \: of \: rectangle = 2(l + w)}[/tex]
where :-
l = length of rectangle
w = width of rectangle
[tex] \\ [/tex]
So :-
[tex] \\ [/tex]
[tex] \dashrightarrow\sf{}perimeter \: of \: rectangle = 2(l + w) \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf{}perimeter \: of \: rectangle = 2(64 + 128) \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf{}perimeter \: of \: rectangle = 2(64) + 2(128) \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf{}perimeter \: of \: rectangle = 2 \times 64+ 2(128) \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf{}perimeter \: of \: rectangle =128+ 2(128) \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf{}perimeter \: of \: rectangle =128+ 2 \times 128\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf{}perimeter \: of \: rectangle =128+ 256\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf{}perimeter \: of \: rectangle =384 \: in\\ [/tex]
[tex] \\ \\ [/tex]
Karen has a red ribbon that is 18 feet long and the blue ribbon that is Sophie long she wants to cut both ribbons into pieces that are all the same length and she wants to have no ribbon left when she's done what is the greatest length in feet of a piece of ribbon that she can cut
Answer:
6feet
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION BELOW:
Karen has a red ribbon that is 18 feet long and a blue ribbon that is 12 feet long. She wants to cut both ribbons into pieces that are all the same length and she wants no ribbon leftover when she is done. What is the greatest length in feet, of each piece of ribbon that she can cut?
Here the question is only talking about the GREATEST COMMON FACTOR that exist between 12 and 18. Since we are told that She wants to cut both ribbons into pieces that are all the "THE SAME LENGHTH"
For the ribbon that of 18 feet long, it can only be cut into 3pieces of equal Lenght i.e(18/6)= 3 pieces
For the ribbon that of 12 feet long, it can only be cut into 2pieces of equal Lenght i.e(12/6)= 3 pieces
Therefore the greatest common factor which divide both 12 and 8 is 6. which means 6 is the greatest length in feet, of each piece of ribbon that she can cut
Create a line segment that is exactly 10 units in length and has a midpoint of (-3,4)
Answer: A segment AB with Endpoints A (-8, 4) and B (2,4) is a horizontal line segment with (-3,4) as the midpoint.
A segment CD with endpoints C(-3,9) and D(-3,-1) will create a vertical line segment with (-3,4) as the midpoint.
A line segment FG with endpoints F (-6,0) and G(0,8) is a diagonal line with a slope of 4/3 and its midpoint is (-3,4)
Step-by-step explanation: For a horizontal or vertical line segment, choose the x-value or the y value of the midpoint. subtract 5 to get the lower endpoint, add 5 to get the higher endpoint. Keep the other coordinate the same.
The diagonal line segment is based on the hypotenuse of a triangle with side lengths corresponding to the Pythagorean Triple 3,4,5 Add and subtract 3 to the x-value od the midpoint, add and subtract 4 to the y value of the midpoint and the hypotenuses will extend 5 units in both directions from the midpoint.
Maybe TMI, bit I am hoping to earn a Brainliest.
What is the perimeter of the polygon
Answer:
32
Step-by-step explanation:
You add 9 + 13, which is 22
Add 4 + 6 to get 10
22 + 10 = 32
Perimeter of the given polygon is equals to 64cm.
What is perimeter?
"Perimeter is defined as the total distance around the given shape."
Theorem used
Tangents drawn from a exterior point of a circle have equal length.
According to the question,
As shown in the diagram,
P, Q, R, and S are exterior points of a circle through which tangents are drawn.
Given,
Length of tangent PA = 13cm
Length of tangent SA= 9cm
Length of tangent RC = 4cm
Length of tangent QC =6cm
As per stated theorem we get,
Length of tangent PB = 13cm
Length of tangent SD 9cm
Length of tangent RD = 4cm
Length of tangent QB =6cm
Perimeter of a given polygon = 13 +13 +9+9+4+4+6+6
= 64cm
Hence, perimeter of the given polygon is equals to 64cm.
Learn more about perimeter here
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Can anyone help with my homework it would be greatly appreciated.
Which of the following are mathematical sentences? Check all that apply.
O A. 9
O B. 4+3 = 7
OC. 7
OD. 2 <3
O E. 5-d=9
a
OF. 5-V
70
SUBMIT
Answer:
B D E F
Step-by-step explanation:
a mathematical sentence makes a statement about TWO expressions. it can also use symbols or words like equals, greater than, or less than.
solve for x
need help asap pls
will give brainliest
Step-by-step explanation:
tangent forms a right angle with radius of circle
so (6.8+10.2)^2 = 10.2^2 + x^2
x= 13.6
Can you guys please help thanks
Answer:
Proper fractions with a denominator of 6: 1/6, 2/6, 3/6, 4/6, 5/6.
Step-by-step explanation:
A proper fraction means that the numerator is less than the denominator.
Examples of this are 1/3, 3/4, 2/7.
Since the denominator must be 6, hence the answers are 1/6, 2/6, 3/6, 4/6, 5/6.
We know that the number line is in 12ths. In addition, we know that 6ths are 1/2 of 12. Thus, we put a proper fraction on every other line on the number line.
Compare the rates of change of the following items.
What is the length of a 46 inch TV that has a height of 30 inches
PLS HELP GIVING BRAINLIEST TO FIRST PERSON
Answer:
x=57
Step-by-step explanation:
Since the angles 'x' and '2x+7' add up to a supplementary angle (straight line)
we can then say;
[tex]x + 2x + 9 = 180[/tex]
[tex]3x = 180 - 9[/tex]
[tex]3x = 171[/tex]
[tex]x = \frac{171}{3} = 57[/tex]
Answer:
I think 57
Step-by-step explanation:
x+2x+9=180
3x+9=180
3x=180-9
3x=171
x=57
The ratio of the number of girls to the number of all students in the class is 4 to 9. Can there be 20 students in that class?
Answer:
No
Step-by-step explanation:
20 ÷ 9 = 2.2222222229 does not go evenly into 20, and there can't be a fraction of a student, so the answer is no.I hope this helps!
Find the distance from the origin to the graph of 7x + 9y + 11 = 0
a.0.96
b.0.98
c.0.97
d.0.99
Answer:
the distancev from 7±9y±11=0 is 0.97
please help if you can!!
Answer:
10
Step-by-step explanation:
the box would just be 11+11+11+11, or 11x4=44
the rectangle would be 11x2+16x2=54
the difference is 10
Juice comes in packs of 6 and granola bars come in
packs of 8. If there are 24 players on the soccer
team, what is the least number of packs needed so
that each player has a drink and granola bar and
there are none left over? (Hint: You will have 2
answers)
Answer:
4 packs of juice
3 packs of granola bars
Step-by-step explanation:
if you have 4 packs of juice with 6 in them, you will have 24 juice boxes, one per player (4 x 6).
If you have 3 packs of granola bars with 8 in them, you will have 24 granola bars, one per player ( 3 x 8).
Susie can buy apples from two stores: a supermarket that sells apples only in bundles of 4, and a convenience store that sells single, unbundled apples. If Susie wants to ensure that the total number of apples she buys is a multiple of 5, what is the minimum number of apples she must buy from the convenience store?
A container holds 5 gallons of lemonade. How much is this in pints?
Use the table below. Include the correct unit in your answer.
Volume
Unit
Symbol
Fact
fluid Ounce
fl oz
cup
C
1 c = 8 fl oz
pint
pt
1 pt = 20
quart
gt
1 qt = 2 pt
gallon
1 gal = 4 qt
HELP ME PLS I NEED THIS LUV U GUYS
i need help with my homework
marlena is making her own beaded bracelets. each bracelet will have 10 beads. write a function to describe the number of beads she will use. find a reasonable domain and range for the function if she makes up to 7 bracelets.
Answer:
number of beads to be made x 10
x×10=
A club puts its members into 5 groups for an activity. After 10 students have to leave early ,there are only 15 students left to finish the activity. How many students were in
each group?
Answer:
5
Step-by-step explanation:
let x be the number of members initially
x-10 = 15
and x/5 represents the members per group
since x is 25, there are 5 members per group
is 14/20 and 16/24 equal (yes or no?)
Answer : No
◊ YusuCr ◊
Enjoy.
Answer:
they are not equal
Step-by-step explanation:
14/20
Divide the top and bottom by 2
7/10
16/24
Divide the top and bottom by 8
2/3
Getting a common denominator of 30
7/10 *3/3 = 21/30
2/3 *10/10 = 20/30
They are not the same value
Look at photo attached
[tex]2(\frac{1}{4}z-8)+(\frac{1}{4}z+6)\\= \frac{1}{2}z -16 +\frac{1}{4} z+6\\= \frac{3}{4}z - 10\\[/tex]
C
4 − (x + 2) < −3(x + 4)
i forgot some steps sorry i'm big dumb
What is the value of x in the proportion below?
StartFraction two-thirds over 5 EndFraction = StartFraction x over 15 EndFraction
2
3
10
☺︎︎
75
Answer:2
Step-by-step explanation:15 divided by 3 is 5 so you would do 2/3 times 3 which is 2
Answer:
Dos!
Step-by-step explanation:
Which equation results from taking the square root of both sides of (x 9)2 = 25? x 3 = ±5 x 3 = ±25 x 9 = ±5 x 9 = ±25.
The equation which is results from taking the square root of both sides of the provided equation is,
[tex](x+9)=\pm5\\[/tex]
What is the square root?A square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.
Let a number is a. Then this number in the form of square root can be written as,
[tex]a=\sqrt{a}\times \sqrt{a}[/tex]
The given algebraic equation in the problem is,
[tex](x+ 9)^2 = 25[/tex]
Take the square root, in both sides,
[tex]\sqrt{(x+ 9)^2} = \sqrt{25}\\\sqrt{(x+ 9)^2} = \sqrt{5^2}[/tex]
Cancel out the square root with the square of the number as,
[tex](x+9)=\pm5\\[/tex]
Hence, the equation which is results from taking the square root of both sides of the provided equation is,
[tex](x+9)=\pm5\\[/tex]
Learn more about the square root of number here;
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Answer: C) x + 9 = ±5
Step-by-step explanation:
Edg 2022
express (2x+4)(x-1) as a trinomial
Answer:
Step-by-step explanation:
Use Foil method
(2x + 4)(x -1) = (2x*x)+ (2x *(-1)) + 4*x + 4*(-1)
= 2x² - 2x + 4x - 4 {Combine like terms}
= 2x² + 2x - 4
Can someone help me on this question? I’ll mark you brainliest if you answer soon!!!
Answer 1, 2, and 3 with the word bank below
m || n and a || b = given.
angle 3 and angle 6 are supplementary = same side interior angles.
angle 6 and angle 13 are supplementary = same side interior angles.
Determine the x-intercepts of the following equation.
(-x-2) (x+1)=y
Answer:(−2,0) and (−1,0)
Answer:
(-2,0)
Step-by-step explanation:
Plug into a graphing calculator or plug in 0 for x