Answer:
32.5 each ticket cost
Step-by-step explanation:
130÷4=32.5
a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
Answer:
The perimeter of the garden, in meters, is [tex]24\sqrt{2}[/tex]
Step-by-step explanation:
Diagonal of a square:
The diagonal of a square is found applying the Pythagorean Theorem.
The diagonal of the square is the hypothenuse, while we have two sides.
Diagonal of 12m:
This means that [tex]d = 12[/tex], side s. So
[tex]s^2 + s^2 = 12^2[/tex]
[tex]2s^2 = 144[/tex]
[tex]s^2 = \frac{144}{2}[/tex]
[tex]s^2 = 72[/tex]
[tex]s = \sqrt{72}[/tex]
Factoring 72:
Factoring 72 into prime factors, we have that:
72|2
36|2
18|2
9|3
3|3
1
So
[tex]72 = 2^{3}*3^{2}[/tex]
So, in simplest radical form:
[tex]s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}[/tex]
Perimeter of the garden:
The perimeter of a square with side of s units is given by:
[tex]P = 4s[/tex]
In this question, since [tex]s = 6\sqrt{2}[/tex]
[tex]P = 4s = 4*6\sqrt{2} = 24\sqrt{2}[/tex]
The perimeter of the garden, in meters, is [tex]24\sqrt{2}[/tex]
PLZ HELP
x-5(x-1) = x- (2x-3)
Answer:
Step-by-step explanation:
x-5(x-1) = x- (2x-3)
x + x *(-5) + (-1) * (-5) = x + 2x*(-1) + (-3)*(-1) {use distributive property}
x - 5x + 5 = x - 2x +3 {Combine like terms}
-4x + 5 = - x +3 {Add 'x' to both sides}
-4x + 5 + x = -x + x + 3
-3x + 5 = 3 {subtract 5 from both sides}
-3x = 3 - 5
-3x = -2 {Divide both sides by (-3)}
x = -2/-3
x = 2/3
a ant traveled 8 meters in 10 minutes. How many minutes did it take him to travel one meter?
Answer:
1 1/4 minutes of 75 seconds
Step-by-step explanation:
10/8 = 5/4 = 1 1/4
What is the next term in the pattern 0.4,0.8,1.2,1.6?
Answer:
2.0
Step-by-step explanation:
increase by 0.4 in each term.
6xy^3 * 4x^2y^2 answer
HELLPPP NEED TO DO THIS BEFORE 7:00
Answer:
7
Step-by-step explanation:
it's just 4 2/3 divided by 2/3, right?
Question 11 (1 point)
Evaluate the function.
Given f(x) = x2 - 5x + 5, find f(3).
Answer:
f(3) =-1
Step-by-step explanation:
f(x) = x^2 - 5x + 5
Let x=3
f(3) = 3^2 -5(3) +5
= 9 -15+5
= -6+5
=-1
Write an equation that relates the number of peppers, n, and the
cost, C.
Complete Question:
The local Farm Market sells peppers at five for $2.25. Write an equation that relates the number of peppers, n, and the cost, C.
Answer:
[tex]C = 0.45n[/tex]
Step-by-step explanation:
Given
[tex]5\ peppers = \$2.25[/tex]
Required
Determine the relationship between C and n
[tex]5\ peppers = \$2.25[/tex]
Divide both sides by 5, to get the cost of 1 pepper
[tex]\frac{5\ peppers}{5} = \frac{\$2.25}{5}[/tex]
[tex]1\ pepper = \frac{\$2.25}{5}[/tex]
[tex]1\ pepper = \$0.45[/tex]
Multiply both sides by n to get the cost of n pepper
[tex]n*1\ pepper = \$0.45*n[/tex]
[tex]n\ pepper = \$0.45n[/tex]
So, we have:
[tex]C = 0.45n[/tex]
Simplify x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2.
Answer:
what do you mean
Step-by-step explanation:
Answer:
x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 = 9x+18
so there are 9 twos or 18 and 9x. No value is provided for x so the answer is 18+9x.
Step-by-step explanation:
6. Y(3.5, 1), Z(-4, 2.5)
Please help
Answer:
Answer given below
Step-by-step explanation:
5. Root 104 = 10.1
10.1 x 0.5 = 5.05 miles
A town doubles its size every 70 years. If the population is currently 3,000, what will the population be in 140 years?
Answer:
12000
Step-by-step explanation:
3000x2^(140/70)
Who dunnit in math there is 10 problems
Answer:
make it make sense
Step-by-step explanation:
A rectangle has a length 3 times the width. What is the perimeter in terms of x?
Answer:
Perimeter is equal to all four sides added together.
Length = 3W; L=3W
So
P = 2(W) + 2(L) substitute the equation for length above you get
P = 2(W) + 2(3W) and combine
P = 2W + 6W = 8W; put in what the perimeter is and solve for W
66 = 8W, so W = 8.25
W = 8.25, L = 24.75
Suppose that 60% of students live in AnyTown. Find the probability that:
Round to three decimals.
A) Exactly 5 out of 10 randomly chosen students live in AnyTown
B) More than 5 students out of 10 live in AnyTown
C) The first AnyTown resident you find is the 5th person you ask
Answer:
Step-by-step explanation:
A.
5 chose 10 = 10*9*8*7*6/1/2/3/4/5 = 252
252 * (0.6)^5 * (0.4)^5 = 0.201
B.
6C10 * (0.6)^6 * (0.4)^4 + ... 10C10(0.6)^10 = 0.633
C.
(0.4)^4*0.6 = 0.015
A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
What is the area of the resulting triangle?
Enter your answer in the box.
Answer:
900
Step-by-step explanation:
The area of the final triangle would be 900 cm².
What is scale factor?Scale factor is used to compare the final and initial dimensions of the figure. Mathematically, we can write scale factor -
{K} = {final dimensions/initial dimensions}
Given is that a triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
Assume the initial dimensions of the triangle be {x} and {y} respectively. So, we can write the initial area as -
{1/2}{x}{y} = 36
{x}{y} = 72
After the scaling, we can write the final area as -
A = {1/2}{5x}{5y}
A = {25/2}{x}{y}
A = 12.5 x 72
A = 900 cm²
Therefore, the area of the final triangle would be 900 cm².
To solve more questions on scale factor, visit the link below-
https://brainly.com/question/30948953
#SPJ2
Who wants a foot cream pop tart
Answer:
ThAt sOunDs dEliCiOus
Step-by-step explanation:
Psych it sounds awful lol
me i want a foot cream pop tart
The difference of the squares of two positive consecutive even integers is 52. Find the integers. Use the fact that, if x represents an even integer, then x + 2 represents the next consecutive even integer
Answer:
12 and 14
Step-by-step explanation:
Let x represents an even integer. Another positive consecutive even integer will be (x+2).
According to question,
The difference of the squares of two positive consecutive even integers is 52 i.e.
[tex](x+2)^2-x^2=52\\\\x^2+4+4x-x^2=52\\\\4+4x=52\\\\4x=52-4\\\\4x=48\\\\x=12[/tex]
First integer = 12
Another integer = 12+2 = 14
find the equation of the line passing through (2,3) and (1,5)
Answer:
y =-2x+7
Step-by-step explanation:
Hello : let A(2,3) B(1,5)
the slope is : (YB - YA)/(XB -XA)
(5-3)/(1-2) = 2/-1 =-2
an equation is : y=ax+b a is a slope
y = -2x +b
the line through point (2,3) : 3 = (-2)(2)+b
b = 7
the equation is : y =-2x+7
If the simple interest on $2,000 for 3 years is $300 then what is the interest rate?
Answer:
100 dollars a year
Step-by-step explanation:
The average score in an examination taken by 52 students of a class is 85. If the scores of the best 5 performers are not considered, the average score of the remaining students falls by 2. If, none of the first five highest scorers is not below 80 and if each of the 5 top scorers had distinct integral scores, find the maximum possible score of the topper.
Answer:
177
Step-by-step explanation:
If the top 5 performers are not considered, the average drops by 2.
Thus,average without top 5 performers = 85 - 2 = 83
Total scored with 5 table toppers = 52 × 85 = 4420
Total scored without 5 table toppers = 47 × 83 = 3901
Total scores of top 5 table toppers = 4420 - 3901 = 519
We are told that each of the 5 top scorers had distinct integral scores.
Also, all of them will score greater than 83.
Thus,possible maximum score of table topper = 519 - (84 + 85 + 86 + 87) = 177
Which investment would make you the most interest? Explain.
A: $450 at 7% for 10 years
B: $1,300 at 5% for 6 years
A group of friends wants to go to the amusement park. They have no more than $275
to spend on parking and admission. Parking is $17.50, and tickets cost $25 per
person, including tax. Write and solve an inequality which can be used to determine
2, the number of people who can go to the amusement park.
Answer:
x ≤ 10.3 people
Approximately x ≤ 10 people
Step-by-step explanation:
Parking = $17.50
Tickets = $25 per person
Let
x = number of people who can go to the amusement park.
17.50 + 25x ≤ 275
25x ≤ 275 - 17.50
25x ≤ 257.50
x ≤ 257.50/25
x ≤ 10.3
Approximately 10 people can to the amusement park
A new section of the freeway will be 6 3/5 miles long. So far 1/6 of the new section has been completed. How many more miles must be built to complete the project?
What is the standard form of the equation 9(g-5h)
Tanisha jogs about 8 miles in 2 hours. How long will it take her to jog 12 miles?
Answer:
its will take 3 hours
Can someone tell me how to do this task please?
GIVING BRAINLIEST AND EXTRA POINTS TO BEST EXPLAINED ANSWER EVER!
Answer:
3/16 of her garden are red roses
she was not correct, 2/4 is not equal to 3/16
Step-by-step explanation:
3/4 garden are roses
1/4 of those are red (1/4 of 3/4)
3/4 (1/4) = 3/16 of her garden are red roses
Answer:
Yes she is correct because if you have the 3/4 u still have 1/4 un planted an then she adds the 1/4 an that would make it 2/4.
Step-by-step explanation:
hope this helps
Barbara needed 3 and 1/4 cups of flour for her recipe. If she measured 1/4 cup at a time, how many times did she have to fill the measuring cup?
Answer:
3/4
Step-by-step explanation:
Factor by grouping 8y3–4y2–14y+7
Answer:
[tex](2y - 1)( {4y}^{2} - 7)[/tex]
Step-by-step explanation:
1) Factor out common terms in the first two terms, then in the last two terms.
[tex] {4y}^{2} (2y - 1) - 7(2y - 1)[/tex]
2) Factor out the common term 2y - 1.
[tex](2y - 1)( {4y}^{2} - 7)[/tex]
Therefor the answer is, ( 2y - 1 ) ( 4y² - 7 ).
Answer:
[tex] \huge \boxed{ \boxed{ \red{ \sf (4 {y}^{ {2} } - 7)(2x - 1)}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:factoringPEMDASgiven:[tex] \sf 8 {y}^{3} - 4 {y}^{2} - 14y + 7[/tex]to do:factoringtips and formulas:how to factor
factor out common constants and termsgrouplet's do:[tex] step - 1 : define \\ \sf{8y}^{3} - {4y}^{2} - 14y + 7[/tex]
[tex] step - 2 : solve[/tex]
[tex] \sf factor \: - 7 \: and \: 4 {y}^{2} \: from \: the \: expression : \\ \sf 4 {y}^{ {2} } (2y -1 ) - 7(2y - 1)[/tex][tex] \sf \: group : \\ \sf (4 {y}^{ {2} } - 7)(2x - 1)[/tex]Solve −2x − 15 = 6x + 9. (1 point) Question 5 options: 1) 3 2) −3 3) −1 4) 6
Answer:
2) x = -3
Step-by-step explanation:
Collect like terms, so gather all your x's on one side, and numbers in the other. Add -6x and +15 to both sides, so you get -2x - 6x = +9 + 15, so we have -8x = 24, divide both sides by -8 you get x = -3.
