The percent change in attendance from last year to this year is approximately 24% after rounding to the nearest whole percent.
Explanation:To calculate the percent change in attendance, you can use the formula for percent change which is (new value - original value)/original value × 100%.
Last year, the attendance was 2376 people, and this year, it increased to 2950 people. Let's plug these numbers into the formula to find the percent change:
(2950 - 2376)/2376 × 100% = 574/2376 × 100% ≈ 24.16%.
When we round to the nearest whole percent, the percent change in attendance is approximately 24%.
12) Melissa deposited $1,500.00 in an account that pays 6.5% interest compounded
quarterly. About what will the balance be in 7 years?
Equation:
A) $2,356.00
B) $937.00
C) $49,943.00
D) $21.00
Answer:
A) $2356.00
Step-by-step explanation:
Principal, p = $1,500.00
Interest rate, r= 6.5%
Period, t = 7 years
compounded quarterly therefore, n = 4
Amount, A = P( 1 + r/n)^ n*t
A = 1500 ( 1 + 0.065/4)^ 4*7
A = 1500( 1 + 0.016)^28
A = 1500 ( 1.016) ^28
A = 1500 * 1.57
A = $2356.00
HELP ASAP
1yd 1 ft=_____ya
A 1 1/2
B 1 1/12
C 1 1/3
D 1 1/6
what is the area of the smallest square?
The area of the smallest square is one quarter of the original square if its height and width are each half of the original.
Using geometrical shapes' proportional relationships, the area of a scaled-down square is calculated by squaring the factor by which the dimensions are reduced.
Explanation:The area of the smallest square can be determined by comparing it with the area of a larger square.
If the dimensions (height and width) of the smallest square are half that of the original square, then its area is a quarter (1/4) of the original square.
This is because area is a two-dimensional measurement, hence when both dimensions are halved, the area is reduced by a factor of 2×2, which equals 4.
For instance, if we consider a square with an area represented by T2, and we know that the smallest square has half the height and half the width, we can calculate its area as (1/2T)×(1/2T) = T2/4.
If the area of a larger square is 4 m2, halving the dimensions will lead to an area of 1 m2 for the smallest square.
This concept is applicable to any geometrical shape where the dimensions are reduced proportionally.
The scaling down of dimensions and the resulting area calculation is a key concept in understanding how areas of similar planar figures relate to each other.
What is the domain of the values shown on the table? What does the domain represent?
A) D: {0 ≤ x ≤ 12}; The domain represents the amount of gas used.
B) D: {0 ≤ y ≤ 360}; The domain represents the amount of gas used.
C) D: {0 < x < 12}; The domain represents the number of miles the car can travel.
D) D: {0 < y < 360}; The domain represents the number of miles the car can travel.
Answer:
Option A) D: {0 ≤ x ≤ 12}; The domain represents the amount of gas used
Step-by-step explanation:
Let
x ----> number of gallons used (independent variable)
y ---> number of miles remaining (dependent variable)
we know that
The domain of a function is the set of all possible values of x
so
The domain represents the amount of gas used
D: {0 ≤ x ≤ 12}
A cylindrical barrel is 8 feet tall, and 5 feet wide at the bottom. What is the volume of the barrel?
Answer:
V = 50π ft³
Step-by-step explanation:
That "5 ft wide at the bottom" translates into "radius of (5/2) ft."
Volume of a cylinder of radius R and height H is V = πR²H, so here,
V = π(5/2)^2*8 ft³ or
V = π(25/4)(8) ft³, or
V = 50π ft³
5y+1=1 subtract 1 from both sides
Answer:
5y
Step-by-step explanation:
All you have to do is subtract 1 from both side so subtract 1 from one side than the other. If you have to find out what y equals, then after subtracting, divide 5 from both sides and y would equal 5. Hope this helped
Answer:
1) If you want to solve the equation, x is 0/5 or 0
2) If you want to subtract 1, the answer is 5y = 0
Step-by-step explanation:
1) 5y + 1 = 1
5y = 0
2) 5y + 1 = 1 Subtract both sides by 1
5y = 0 Isolate the variable by dividing 5 on both sides
y = 0/5 or 0
[3 6] • [-4 -3 -6 -1]
Answer:
216
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!
A car dealership sells a car in a basic model (b) the fully-loaded model (f) for $20,000 and $25,000 respectively. During the month of June, the dealership sells 40 of these cars with sales totaling $880,000. How many of each model does the dealership sell?
A) 10 fully loaded and 20 basic
B) 16 fully loaded and 24 basic
C) 26 fully loaded and 9 basic
D) 30 fully loaded and 12 basic
Answer:
b
Step-by-step explanation:
The car dealership sold 24 basic model cars and 16 fully-loaded model cars. This was determined by creating and solving a set of linear equations based on the given information.
Explanation:This question can be approached using the method of linear equations. We know that the total number of cars sold is 40 and the total sales is $880,000. We can represent the number of basic model cars as 'b' and the fully-loaded model cars as 'f'. The cost of a basic model car is $20,000 and for a fully-loaded model, it is $25,000. Therefore, we can establish two equations:
b + f = 40 (number of cars sold) 20000b + 25000f = 880000 (total cost)
The system of these linear equations could be solved either by Substitution or Elimination method. Through careful calculation, it can be found that the answer is b=24 (basic models) and f=16 (fully-loaded models).
So, the correct answer is Option B : The dealership sold 16 fully loaded models and 24 basic models.
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Which verbal expressions represents 4x - 10?
Answer:
four x minus ten
Step-by-step explanation:
4x = four x
-10 = minus ten
Answer:
Four times a number x minus 10
On Monday 3/12 of the students went on a field trip. What fraction of the students did not go on the field trip?
3/4 of the students did not go on the field trip.
On Monday, 3/12 of the students went on a field trip.
To find out what fraction of the students did not go on the field trip, we need to subtract the fraction that went on the field trip from the whole student body, which is represented by the fraction 1 or 12/12.
Let's perform the subtraction step-by-step:
Convert 1 to a fraction with the same denominator as 3/12: 1 = 12/12Subtract 3/12 from 12/12: 12/12 - 3/12 = 9/12Simplify the fraction 9/12: 9/12 = 3/4Therefore, 3/4 of the students did not go on the field trip.
A number that, when multiplied with another number, yields a result of 1 is called its multiplicative ____.
Answer:
multiplicative inverse
Step-by-step explanation:
A number that is multiplied by it's multiplicative inverse equals one.
A multiplicative inverse is also called a reciprocal.
Example:
1/7 is 7's multiplicative inverse.
[tex]\frac{7}{1} *\frac{1}{7} =\frac{7}{7} =1[/tex]
Answer:
inverse
Step-by-step explanation:
Which expressions are equivalent to x+x+x + 2x+x+x+2x, plus, x, plus, x, plus, 2 ?
Final answer:
To simplify the given expression, we combine like terms to get 8x+2.
Explanation:
This question can be answered by having basic understanding of rules of operations in algebra in general and about addition of expressions in particular
The expression
x+x+x+2x+x+x+2x can be simplified by combining like terms. This means adding together the coefficients of the same variables.
Combining
x terms gives 3x and combining 2x terms gives 4x. The expression becomes 3x+4x+x+x+2.
To further simplify, we can combine the like terms 3x, 4x and x to give
8x. Finally, we combine 8x and 2 to get the simplified expression 8x+2.
Therefore, the required answer of the question asked is 8x + 2.
To find the equivalent expressions to \( x + x + x + 2x + x + x + 2x + x + x + 2 \), we can perform some simplification by combining like terms.
Let's start by combining all the terms with \( x \) coefficients. When we add or combine like terms, we just sum their coefficients, keeping the variable \( x \) unchanged.
Here are the terms with \( x \) in them:
\( x + x + x + 2x + x + x + 2x + x + x \)
Now, let's add them up:
\( 1x + 1x + 1x + 2x + 1x + 1x + 2x + 1x + 1x = 11x \)
We just counted the number of \( x \)'s and there are eleven of them, hence \( 11x \).
Now let's consider the constant terms (the numbers without variables):
\( 2 \)
Since there is only one constant term, we don't need to combine it with anything else.
Now, we add the sum of the \( x \) terms to the constant term:
\( 11x + 2 \)
Therefore, the expression \( x + x + x + 2x + x + x + 2x + x + x + 2 \) simplifies to:
\( 11x + 2 \)
This is the equivalent expression to the original one given.
33. Farmer Deanna looks out her window and counts a total of 64 legs on a total of 20 animals. If she has only
sheep and chickens, how many of each does she have? (Hint: Sheep have 4 legs each and chickens 2 legs each.
Answer:
12 sheep
8 chickens
Step-by-step explanation:
x+y=20, x=number of sheep and y=number of chickens
4x+2y=64. (Total number of legs)
Solve the system algebraically or graphically.
1. Multiply the top equation by -2 then add the equations together to solve for x.
Or
1. Solve for y in the top equation and substitute that for y in the second equation.
Then
2. Put x into either equation to solve for y.
Need help asppppppppppppp!!!!!!!!
Answer:
40
Step-by-step explanation:
72-32=40
If ∠P measures 27°, q equals 6.0, and r equals 7.2, then which length can be found using the Law of Cosines?
using the Law of Cosines, we can find that the length of side ( p ) is approximately 3.29 units.
We can use the Law of Cosines to find the length of side ( p ) (opposite angle[tex]\( \angle P \))[/tex] when we know the lengths of the other two sides [tex]\( q \) and \( r \)[/tex] and the angle [tex]\( \angle P \)[/tex].
The Law of Cosines formula is:
[tex]\[ c^2 = a^2 + b^2 - 2ab \cos(C) \][/tex]
In this case, we want to find the length of side \( p \), so we'll use \( p \) as the side opposite angle \[tex]( \angle P \), \( q \) as side \( q \), and \( r \) as side \( r \)[/tex].
Substitute the given values into the Law of Cosines formula:
[tex]\[ p^2 = q^2 + r^2 - 2qr \cos(\angle P) \]\[ p^2 = (6.0)^2 + (7.2)^2 - 2(6.0)(7.2) \cos(27^\circ) \]\\[/tex]
Now, calculate the value of \( p \):
[tex]\[ p^2 = 36 + 51.84 - 86.4 \cos(27^\circ) \][/tex]
Using a calculator, find \( \cos(27^\circ) \approx 0.891 \):
[tex]\[ p^2 = 36 + 51.84 - 86.4 \times 0.891 \]\[ p^2 = 36 + 51.84 - 77.02 \]\[ p^2 = 10.82 \][/tex]
Take the square root of both sides to solve for \( p \):
[tex]\[ p = \sqrt{10.82} \approx 3.29 \][/tex]
So, using the Law of Cosines, we can find that the length of side ( p ) is approximately 3.29 units.
Help please! Explain as well too please!
Answer:
abut 20.5 im sorry i dont quite know how to explain it
Step-by-step explanation:
In a class of 32 students, 4 students were absent on Monday. What percent
of the students were absent on Monday?
Answer:
12.5%
Step-by-step explanation:
Our of 32 students, 4 students were absent on Monday, which means to get the percentage, we divide 4 by 32 and then turn it to percentage, by multiplying by 100
4/32= 0.125
0.125X100
= 12.5%
Answer:
12.5% of the students were absent on Monday
Step-by-step explanation:
32 students = 100 students
16 students= 1/2 of the class
8 students= 1/4 of the class
4 students= 1/8 of the class
the solution to -2[1 - 4x] = 3x + 8 is
Answer: " 14 " .
________________________
→ " x = 14 " .
________________________
Step-by-step explanation:
________________________
First, let us simplify the expression on the "left-hand side" of the equation:
→ -2(1 −4x) ;
________________________
Note the "distributive property of multiplication" :
→ a(b + c) = ab + ac .
________________________
As such, we can rewrite:
→ -2(1 − 4x) = (-2)(1) + (-2)(-4x) ;
= - 2 + 8x ;
↔ 8x − 2 ;
________________________
Now, rewrite the entire expression:
→ 8x − 2 = 3x + 8 ;
________________________
Subtract "(3x)" from each side of the equation;
and add "2" to each side of the equation:
________________________
→ 8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;
to get:
→ 5x = 10 ;
Now, divide each side of the equation by "5" ;
to isolate "x" on side of the equation;
& to solve for "x" ;
________________________
→ 5x/5 = 10/5 ;
to get:
________________________
→ x = 2 .
________________________
Now, let us check our work:
________________________
Plug in "2" for all "x-values" into the original equation;
to see if the equation holds true;
that is, to see if each side of the original equation given has the same value;
when "x = 2" :
________________________
Note the given equation:
________________________
→ -2[1 − 4x] = 3x + 8 ;
________________________
Start with the left-hand side:
→ -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .
Now, continue with the right-hand side:
→ 3(2) + 8 = 6 + 8 = 14 .
___________________________________
→ 14 =? 14 ??? ; Yes!
___________________________________
Hope this is helpful to you!
___________________________________
You leave a 12% tip for a $25 meal. How much is the tip, in dollars?
Answer:
3 dollars
Step-by-step explanation: divide 25 by .12=3.00
Answer:
$3
Step-by-step explanation:
25 X 1.12 = 28 $28-$25= 3 dollar difference.
(0.12 is the decimal form of 12%)
What’s the probability of getting 3 hearts out of a deck of 52?
Answer:
Probability breaks down to this basic formula:
desired outcome
total possible outcomes
Also, you need to know there are 13 spades in a deck of cards.
So, on your first draw, the chances of getting a spade are:
13 (desired outcome: pick one of the 13 spades)
52 (total possibilities: 52 cards in the deck)
But on your second draw, if you don't replace the card, your chances of getting a spade are:
12
51
because you only have 12 spades left, and 51 cards total.
Then, on your last draw, the chances of getting a spade are down to:
11
50
Since each of these probabilities depend on each other, you multiply them up to get your overall probability:
13 * 12 * 11 = 1,716
52 51 50 132,600
This reduces, or you can just divide to get a decimal.
Step-by-step explanation:
5. Solve the following equation for A : 2A/3 = 8 + 4A
A.-2.4
B. 2.4
C. 1.3
D. -1.3
E. O
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{2A}{3}[/tex] = 8 + 4A
Multiply through by 3 to clear the fraction
2A = 24 + 12A ( subtract 12A from both sides )
- 10A = 24 ( divide both sides by - 10 )
A = - 2.4 → A
What is the answer? Please! ill mark brainliest!
The number 8.375 x 10^-3 is equivalent to ____
Answer:
0.008375
Step-by-step explanation:
Answer:
hey
Step-by-step explanation:
8.375 can be written as
8375/1000
8375/ 10³
put in q
8375×10 power -3 × 10 power -3
8375× 10 power -6
0.008375
What is the surface area, in square inches, of the container?
Answer:
62 inches
Step-by-step explanation:
A 32. In bat is leaning against a fence. If the bat is 15 in. Away from the base of the fence, what angle is formed between the ground and the bat?
Trigonometry
Answer:
509.8
Step-by-step explanation:
The last one on 1/23
The angle formed between the ground and the bat is 62.04 degrees
How to calculate the angle of elevation and depressionFrom the given question, we have the following parameters:
Length of the bat = 32in
Measure of the distance from the bat to the ladder = 15in
Requiredangle of elevation
Using the SOH CAH TOA identity
Cos θ = adjacent/hypotenuse
Cos θ = 15/32
θ = arccos(15/32)
θ = 62.04degrees
Hence the angle formed between the ground and the bat is 62.04 degrees
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eight times a number plus 6 less than twice the number is 34
Answer: 4
Step-by-step explanation: 8 times 4 = 34
4 times 2 is 8 minus 6 is 2
32 + 2 = 34
hope this helps mark me brainliest if it did
The number that satisfies the condition 'eight times a number plus 6 less than twice the number is 34' is 4.
Explanation:This problem is a basic algebra problem. Here's how to solve it step by step:
First, let's denote the unknown number as x.According to the problem, 'eight times a number' can be written as 8x.'6 less than twice the number' is equivalent to 2x - 6.So, the full equation given is 8x + (2x - 6) = 34.Combine like terms on the left side, leading us to 10x - 6 = 34.Add 6 to both sides of the equation to isolate the terms with x, resulting in 10x = 40.Divide both sides by 10 to solve for x. Thus, x = 4.So, the number that satisfies the given condition is 4.
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Multiplying Polynomials :
(X + 4)(X - 1/2)
Answer:
2x²+7x-4
Step-by-step explanation:
(x+4)(x-1/2)
First multiply (x-1/2) by 2.
We have (2x-1)
(x+4)(2x-1)
Expanding it, we have
x(2x-1)+4(2x-1)
2x²-x+8x-4
2x²+7x-4
Ellie bought two planks of wood that were each 4ft3in long and two planks of wood that were each 6ft5in long. What is the total length of the wood she purchased?
Answer:
21ft 4in
Step-by-step explanation:
4+4=8 3+3=6 8ft 6in
6+6=12 5+5=10 12ft 10in
8+12=20ft 10+6=16in
16-12=4 20+1=21
21ft 4in
A diver starts at the surface of the water and travels 8 feet to the bottom.
Graph A shows her distance from the bottom during the journey.
Graph B will show her distance from the surface during the journey.
Complete each statement about Graph B.
Answer:
On Graph B, at 0 seconds, the graph will be 0 or nothing.
Then the graph will increase until 2 seconds.
Answer:
On Graph B, at 0 seconds, the graph will be 0 or nothing.
Then the graph will increase until 2 seconds.
Step-by-step explanation:
Operations with rational expressions
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}[/tex]
Solution:
Given expression:
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}[/tex]
To solve the given expression:
First simplify: [tex]\frac{50-2 w^{2}}{3 w^{2}+9 w-30}[/tex]
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30}=-\frac{2(w+5)(w-5)}{3(w-2)(w+5)}[/tex]
Cancel the common factor (w + 5).
[tex]$=-\frac{2(w-5)}{3(w-2)}[/tex]
Now substitute this in the given expression.
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{2(w-5)}{3(w-2)} \cdot \frac{w^{2}+5 w-14}{6 w-30}[/tex]
Multiply the fractions [tex]\frac{a}{b} \cdot \frac{c}{d}=\frac{a \cdot c}{b \cdot d}[/tex]
[tex]$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{3(w-2)(6 w-30)}[/tex]
Factor the denominator [tex]3(w-2)(6 w-30) =18(w-2)(w-5)[/tex]
[tex]$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{18(w-2)(w-5)}[/tex]
Cancel the common factor 2(w – 5).
[tex]$=-\frac{w^{2}+5 w-14}{9(w-2)}[/tex]
Factor the numerator [tex]w^{2}+5 w-14=(w-2)(w+7)[/tex]
[tex]$=-\frac{(w-2)(w+7)}{9(w-2)}[/tex]
Cancel the common factor (w – 2).
[tex]$=-\frac{w+7}{9}[/tex]
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}[/tex]