There will be 15 booths can fit in the beverage area.
How to calculate the valueC = πd
where C is the circumference, d is the diameter, and π is pi (approximately 3.14).
C = π(50) = 157.1 feet (rounded to the nearest tenth)
Next, we need to subtract the space needed between booths from the total arc length.
157.1 - (10.5x) = 0
where x is the number of booths.
Simplifying the equation, we get:
10.5x = 157.1
x ≈ 14.9
Rounding to the nearest whole number, we get that 15 booths can fit in the beverage area.
Learn more about word problem on
https://brainly.com/question/21405634
#SPJ1
Y= x+5 Y= y= 3/8x Y= -x-2 Y= 6x+1Y= x-11 Y= 8xY= -1/3 xPart : graph each line after the given of y= x8. A translation 4 units down
The parent function of the transformation is given as,
\(y=x\)1) y = x + 5
The parent function is being translated horizontally to the left by 5 units.
2) y = 3/8 x
The parent function is horizontally stretched by a factor of 8/3.
3) y= -x-2
The parent function is reflected across the y-axis and then translated horizontally to the right by 2units.
4) y=6x+1
The parent function is shrinked horizontally by the factor of 1/6 and translated to the left by 1 unit.
5) y = x-11
The parent function is translated to the right by 11 units.
6) y=8x
The parent function is shrinked horizontally by the factor of 1/8.
7) y = -1/3x
The parent function is stretched horizontally by a factor of 3, then reflected across the y-axis.
If you take 4 steps every 6 minutes, how many steps can you take in 15 minutes?
Answer:
10steps
Step-by-step explanation:
In 6 minutes = 4 steps
In 15 minutes would be = 8steps + 2 steps
= 10 Steps
Simplify: 5x + 4x2 + 10 + 2x2 + 2x – 6+2 - 1.
what would be the answer?
As per the above given question the reflection of m∠O=112°.
What is reflection?A process of introspection or self-examination is reflection. It entails reflecting critically on one's thoughts, feelings, and experiences in order to comprehend oneself better. Self-awareness and insight can be developed through reflection, which can result in personal development and change.
In a larger sense, reflection also refers to the bouncing back of light, sound, or other waves from a surface and is employed in many disciplines, including arithmetic, computer science, and optics. The capacity of a computer program to review and alter its own structure and behavior at runtime is known as reflection in computer programming.
According to question:
Here are given m∠G=61 m∠f=7
From angle sum property of triangle, we get in ΔGFA
m∠G+m∠F+m∠O=180°
⇒61+7+m∠O=180
⇒68+m∠O=180
Therefore m∠O=180-68=112
To know more about Reflection visit:
https://brainly.com/question/30270479
#SPJ1
Answer if you know asap!
help pls this is law of exponents
Letter A) is -8, Letter B) is 64, Letter C) is 1/9, and Letter D) is 1/16.
Solution/Explanation:
A) -2³
-(2)(2)(2)
-8
B) 8²
(8)(8)
64
C) 9⁻¹
1/9¹
1/9
D) (-4)⁻²
1/(-4)²
1/(-4)(-4)
1/16
These are all of the final answers to your question.
Hope you found the answers you were looking for. Good day to you.
Help will give star and brainlest or what ever is the highest you can give a comment!!!
Answer:
puppies - 22
Step-by-step explanation:
since the ratio is 2:3, there are 5 parts in total. (2+3=5)
55/5=11 then multiply by parts
puppies- 2×11=22
adults- 3×11=33
check answer by adding- 22+33=55
Answer:
22 puppies and 33 adult dogs
Step-by-step explanation:
Total: 55 Dogs
Ratio: 2:3
Puppies : Adults
2 : 3 (1)
20 : 30 (10)
22 : 33 (11)
Answer = 22 puppies
From a hot-air balloon, Violet measures a 27^{\circ} ∘ angle of depression to a landmark that’s 790 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.
The balloon’s vertical distance above the ground is 402.53 ft
How to solve for the vertical distanceTwo legs of a right triangle are formed by the horizontal and the vertical. The tangent relation is applicable because the provided angle is the angle next to the horizontal leg:
TOA = Tangent Opposite Adjacent
Tangent = opposite / adjacent
cross multiply
opposite = tan * adjacent
The tangent is 27 degrees
The adjacent is 790 feet away
= tan 27 degrees * 790
= 402.53
This balloon can be said to be 402.53 ft above the ground.
Read more on distance here: https://brainly.com/question/24834665
#SPJ1
Answer:
402.5
Step-by-step explanation:
I got the question right
-8(p - 4) = 96 solve for p
Answer:
-8
Step-by-step explanation:
Pls Help!! I'll MARK YOU BRAINLIEST but please explain
Answer:
x<16
it's the last one
Step-by-step explanation:
Multiply both sides of the inequality by
then move the constant to the right hand side and
change it's sign and
subtract by four
theme park ride is descending on a parabolic path that can be approximated by the equation… (distance measured in feet.) If the horizontal component of its velocity is a constant 9 ft/s, find the rate of change of its elevationhenr = 30.
Solution
\(\begin{gathered} y=-\frac{1}{90}x^2+75 \\ \frac{dy}{\text{dt}}=-\frac{1}{90}(2x)\frac{dx}{dt} \\ \\ \end{gathered}\)\(\begin{gathered} \frac{dy}{dt}=-\frac{1}{90}(2\times30)(9) \\ \\ \frac{dy}{dt}=-\frac{1}{90}(60)(9) \\ \\ \frac{dy}{dt}=-\frac{1}{9}(6)(9) \\ \\ \frac{dy}{dt}=-\frac{1}{9}(54) \\ \\ \frac{dy}{dt}=-6\text{ ft/s} \end{gathered}\)Select all expressions equivalent to 162x^2 – 72.
2(9x - 6)^2
2 (81x^2 – 36)
2 (9x - 6) (9x + 6)
18(3x^2 – 2)^2
18 (3x - 2) (3x + 2)
Expressions (i) and (v) are equivalent to the original expression \(162x^2 - 72.\)
What is expression?In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a quantity. It can consist of constants, variables, arithmetic operators, and other mathematical functions or operations.
According to given information:The expression \(162x^2 - 72\) can be factored using the difference of squares formula: \(a^2 - b^2 = (a+b)(a-b)\).
First, we can factor out 18 from the expression:
\(162x^2 - 72 = 18(9x^2 - 4)\)
Now, we can apply the difference of squares formula by setting a = 3x and b = 2:
\(9x^2 - 4 = (3x)^2 - 2^2 = (3x + 2)(3x - 2)\)
Substituting this back into the original expression, we get:
\(162x^2 - 72 = 18(9x^2 - 4) = 18(3x + 2)(3x - 2)\)
Therefore, expressions (i) and (v) are equivalent to the original expression \(162x^2 - 72\).
To know more about expression visit:
https://brainly.com/question/1859113
#SPJ1
A pack of paper costs $1.75, including tax. Mr. Valentino wants to purchase packs of paper for his class and has a $25 budget. Write and solve an inequality to solve for the number of packs of paper Mr. Valentino can purchase, and describe the graph of the solution.
Inequality to solve the number of packs of paper Mr. Valentino can purchase is x≤14.28.
According to question,
A pack pf paper costs $1.75.
Budget of Mr. Valentino is $25.
Let the number of packs of paper he buys = x
Therefore,
1.75x ≤ 25
x ≤ 25 / 1.75
x ≤ 14.28.
Hence, the inequality is x ≤ 14.28.
Graph of the inequality is below.
Learn more about Inequality on:
https://brainly.com/question/16751857
#SPJ1
Hurry please
Express $112 for 14 hours as a unit rate
(-4,-2) and (4,0)
Write a linear equation that passes through the given two points.
Please help asap
Answer:
y=1/4x-1
Step-by-step explanation:
Let's find the slope first, with the two given ordered pairs.
Slope = 1/4.
Now let's put it into point slope form to find out the y-intercept.
Then convert it into y=mx+b form, the standard slope intercept form.
y + 2 = 1/4(x+4)
Then we convert it into y=mx+b form (our final answer);
y=1/4x-1
Hope this helps! :)
Find the surface area of the curved surfaces
Answer:
155.744
Step-by-step explanation:
Roberto' employer offer a liding paid vacation. When he tarted work, he wa given three paid day of vacation. For each ix-month period he tay at the job, hi vacation i increaed by two day. Let x repreent the number of 6-month period worked and y repreent the total number of paid vacation day. Write an equation that mode the relationhip between thee two variable
An equation that mode the relationship between thee two variable is y=2x+3 .
Let x represent the number of 6-month period worked
Let y represent the total number of paid vacation day
According to the question,
When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.
Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19
An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).
Learn more about linear equations in two variables at :
https://brainly.com/question/24085666
#SPJ4
Study the data set shown. Then answer the questions below.
A data set contains 4, 6, 8, 8, 10, 12, 12, 15, 16, 16, 17, 21, 22, 25, 26, 26, 29, 30, 30, 31.
CLEAR CHECK
Enter a number that could be added to this data set that would not change the range.
Enter a number that could be added to this data set that would change the range.
A number is, 31 that could be added to this data set that would change the range.
We have to given that,
A data set contains,
⇒ 4, 6, 8, 8, 10, 12, 12, 15, 16, 16, 17, 21, 22, 25, 26, 26, 29, 30, 30, 31.
Now, We know that,
Range of data set is difference between the highest and lowest terms of the data set.
Here, Highest term = 31
Lowest term = 4
So, We can add any number greater than 31 or less than 4 that would change the range.
Hence, Let us assume that,
A number is,
⇒ 31
Learn more about the subtraction visit:
https://brainly.com/question/17301989
#SPJ1
Which ordered pair on the graph represents the situation described in part F?
B
1
U
X'
X
Font Sizes
Answer:
The point (3, 9) represents 3 kilograms of weight with a spring stretch of 9 inches.
Step-by-step explanation:
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/2
(B) Coordinates of Δ P"Q"R"
P" (-4,0)
Q"(-3,1)
R"(1,-2)
(C) Triangles PQR and P"Q"R" are not congruent.
Given
ΔPQR is transformed into ΔP'Q'R'
Coordinates of P, Q, R are
P (8,0),
Q(6,2)
R(-2,-4)
Coordinates of P'Q'R' are
P′(4, 0)
Q′(3, 1)
R′(−1, −2)
(A) By Distance formula we can find the distance between P Q and P'Q'
Distance formula = \(D = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)
Where D = Distance between two points
from distance formula we can write that
PQ = \(\sqrt{(6-8)^{2} +(2-0)^{2} } = \sqrt{4+4} =2 \sqrt{2}\)
Similarly
P'Q'= √2
PQ /P'Q' = 2
hence the scale factor of dilation is 1/2 (Compression)
(B )The Coordinates of Reflection about y axis can be written for a point
(x,y) as (-x,y)
So the Coordinated of Δ P"Q"R" can be written as
P" (-4,0)
Q"(-3,1)
R"(1,-2)
(C) ΔPQR and ΔP"Q"R" are similar triangles but they are not congruent because their sides are not equal in size.
Learn more about Congruent triangles at:
brainly.com/question/12413243
#SPJ1
NEED HELP ASAPPP !!!
Answer:
I believe D is the correct answer
X is a normally distributed random variable with mean 50 and standard deviation 5. What is the probability that x will be less than 55?.
We need to know about z-score to solve the problem. The probability that x will be less than 55 is 0.84
A z-score tells us how many standard deviations away an individual data value falls from the mean. Once we find the z-score we can get the probability from the z-table. In the given question we know that X is normally distributed random variable with mean 50 and standard deviation 5, we need to find out the probability that x will be less than 55.
z-score= x-μ/σ=55-50/5=1
In z-table , the probablity for z-score=1 comes to 0.84
Therefore the probability that x will be less than 55 is 0.84.
Learn more about z-score here:
https://brainly.com/question/15222372
#SPJ4
g/(g ^ 2 + 4g) - g/((g + 4) ^ 2) =?
Simplify.
Answer:
\( \frac{4}{(g + 4) ^{2} }\)
Step-by-step explanation:
Factor the expressions that are not already factored in g/g² + 4g.\( \frac{g}{g(g + 4)} - \frac{g}{(g + 4) ^{2} } \)
Cancel out g in both numerator and denominator.\( \frac{1}{g + 4} - \frac{g}{(g + 4) ^{2} } \)
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of g+4 and (g+4)² is (g+4)². Multiply 1/g + 4 times g + 4/g + 4.\( \frac{g + 4}{(g + 4) ^{2} } - \frac{g}{(g + 4) ^{2} } \)
Since g + 4/(g + 4)² and g/( g + 4)⁴ have the same denominator, subtract them by subtracting their numerators.\( \frac{g + 4 - g}{(g + 4) ^{2} } \)
Combine like terms in g+4−g.\( \frac{4}{(g + 4) ^{2} } \)
Expand (g + 4)².\( \frac{4}{g^{2} + 8g + 16 } \)
Hope It's Help
how many total calories are available from a serving of crackers that contains 4 grams of fat, 21 grams of carbohydrate and 2 grams of protein?
Sarah paid $3.84 for 32 ounces of carrots. Sue paid $5.20 for 40 ounces of carrots. Who paid less per ounce?A. Sue
B. They paid the same amount per ounce.
C. Sarah
(Will mark brainliest and pls fast)
Answer:
The answer is Sue or B
Step-by-step explanation:
Sue Paid : 0.12 per ounce when divided
Sarah Paid 0.13 per ounce when divided
Answer:
C, Sarah paid less
Step-by-step explanation:
3.84/32 = 0.12
5.20/40 = 0.13
Sarah paid less per ounce.
A pair of sneakers is on sale for 20% off. The original price is $100. What is the price of the sneakers with the discount?
Answer:
it will be $80.00 and your saving $20.00
Step-by-step explanation:
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.
d. The opposite of - 10t and t - 10t
Answer:
The sum is \(t\).
Step-by-step explanation:
Consider the provided information.
The given expression are - 10t and t - 10t
We need to find the sum of the opposite of -10 t and t - 10t.
The opposite of -10 t is 10 t.
\(10t+(t-10t)\)
Remove the parenthesis.
\(10t+t-10t\)
Simplify the number
\(10t-10t+t\)
Use Additive inverse.
\(t\)
Hence, the sum is \(t\).
sung buys a 12-month membership to a gym there is no sign up fee and sung makes equal payments each month after three months he has 585$ left to pay after five months he has 455$ left to pay. how much does he pay each month? how much is the total cost of the 12-month membership ?
The solution is
a) The amount Sung pays per month is $ 65
b) The total amount for the 12-month memberships is $ 780
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount of the 12-month membership fee be represented as A
Now , the value of A is
The amount balance after 3 months = $ 585
The amount balance after 5 months = $ 455
So ,
The difference between the months = 5 months - 3 months
The difference between the months = 2 months
The difference between the amounts = $ 585 - $ 455
The difference between the amounts = $ 130
So , for the period of 2 months , the amount = $ 130
The amount for 1 month of the membership = $ 130 / 2
The amount for 1 month of the membership = $ 65
Now , the equation will be
Total amount of the 12-month membership fee A = 12 x amount for 1 month of the membership
Substituting the values in the equation , we get
Total amount of the 12-month membership fee A = 12 x $ 65
Total amount of the 12-month membership fee A = $ 780
Therefore , the value of A is $ 780
Hence ,
The total membership amount is $ 780 and amount per month is $ 65
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Which of the following terms appear in the expansion of (x + y) 8? The letter a
in each term represents a real constant.
O A. at
B. axt
C. axy
O D. axAJA
Example 6
Solve for w: w + 2 > 4.
Answer:
w > 2
Steps:
w +2 > 4
w + 2 - 2 > 4 - 2
w > 2