The percent increase of women students is 21.13%.
Given that, an area vocational school had an enrollment of 325 men and 123 women.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
In 2006, there were 149 women.
Percentage increase = (New value - original value)/Original value × 100
= (149-123)/123 × 100
= 26/123 × 100
= 21.13%
Therefore, the percent increase of women students is 21.13%.
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90ft×7ft requires1/2 ounces toof solution per square ft to clean.How much solution is necessary to clean floor
The amount of the cleaning solution is required to clean the hallway will be 315 ounces.
The complete question is given below.
A hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot. How much cleaning solution is required to clean the hallway?
What is the area of the rectangle?Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L × W square units
A hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot.
Then the amount of the cleaning solution is required to clean the hallway will be
Amount of cleaning solution = 1/2 × area of hallway
Amount of cleaning solution = 0.5 × (90 × 7)
Amount of cleaning solution = 315 ounces
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Square root of (-16)^2
Answer: [tex]\sqrt{(-16)^{2} } =16[/tex]
Step-by-step explanation:
I looked it up on my calculator. I hope this helps!! :)
A small country is comprised of five states, A, B, C, D, and E. The population of each state is given in the following table. Congress will have 57 seats divided among the five states according to their respective populations. Use Jefferson's method with d=32,920 to apportion 57 seats
Based on Jefferson's method and the value of d, the apportionment of the 57 seats will be:
A - 4 seats.B - 5 seats. C - 10 seats.D - 16 seats.E - 22 seats.How will the seats be allocated?This is done by dividing the population of the state by the d value and then rounding this off:
State A:
= 138,352 / 32,920
= 4.2
= 4
State B:
= 181,282 / 32,920
= 5.5
= 5
State C:
= 337,026 / 32,920
= 10.23
= 10
State D:
= 549,634 / 32,920
= 16.6
= 16
State E:
= 729,736 / 32,920
= 22.1
= 22
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Find the sum of all the even
numbers between 23 and 29.
Answer:
78
Step-by-step explanation:
even numbers are numbers that end in 0, 2, 4, 6, or 8. these numbers can be considered even because they would evenly split between a group of 2
the "sum" of a group of numbers is the numbers added together
So, the numbers between 23 and 29:
23, 24, 25, 26, 27, 28, 29
(even numbers are in bold)
if we add these numbers together,
{1} {carry the 1 from the 18 in the one's place}
24
26
+ 28
______
78
So the sum of all the even numbers between 23 and 29 is 78.
hope this helps!!
How many solutions exist for the given equation?
3(x - 2) = 22 -x
Answer:
One solution
Step-by-step explanation:
The equation can be rewrite as 3x - 6 = 22 - x
so we try to get all the x on one side so we add x and 6 to both sides so we get 4x = 28 then we divide by 4 both side and get x=7
Wei Xun bought 8 pieces of chocolates and 10 lollipops for $17. The average price of a piece of chocolate was S$1. What was the average price of a lollipop?
Answer:
$0.90
Step-by-step explanation:
If each piece of chocolate is $1, then 8 pieces is $8. Wei Xun bought 8 pieces of chocolate and 10 lollipops, which came out to $17. The chocolate was $8 total, leaving $9 for the 10 lollipops. 9/10 = 0.9. So, each lollipop was $0.90, or 90 cents.
A coin is flipped, and a number cube is rolled. What is the probability of getting heads on the coin and a number greater than 5 on the number cube?
HELPPP
Answer:
1/3
Step-by-step explanation:
The points (-15, r) and (-3, 16) lie on a line with slope 5/4. Find the missing coordinate r.
Answer:
r = 1
Step-by-step explanation:
we know that :
[tex]Slope=\frac{y_{B}-y_{A}}{x_{B}-x_A}[/tex]
Then
[tex]\frac{5}{4} =\frac{16-r}{-3-(-15)}[/tex]
Then
[tex]\frac{5}{4} =\frac{16-r}{12}[/tex]
Then
5×12 = 4×(16-r)
Then
60 = 64 - 4r
Then
4r = 64 - 60
Then
4r = 4
Then
r = 1
Houses in an real estate are all identical however a person can purchase a new house with some all or none of a set of options as indicated by the set below
how many options are there for purchasing a house in this community
{ pool , alarm , lake view , balcony }
Considering the number of subsets of the set of options, it is found that there are 16 options for purchasing a house in this community.
What is the number os subsets of a set of cardinality n?The number of subsets is given by:
[tex]N_s = 2^n [/tex]
The set of options is given by:
O = { pool , alarm , lake view , balcony }
Which has cardinality n = 4.
The number of options for the purchased home is the number of subsets of set O, hence:
[tex]N_s = 2^4 = 16[/tex]
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5=1 2/3x how do I solve for x?
You'll first Cross multiply: 5× 3x
that'll give you 15x.
15x=12(12 is a numerical constant).
Divide both sides by the the coefficient of X .That is 15x/15= 12/15
Therefore the answer is 12/15= x
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathsf{5 = 1 \dfrac{2}{3}x}[/tex]
[tex]\mathsf{1 \dfrac{2}{3}x = 5}[/tex]
[tex]\mathsf{\dfrac{1\times3 + 2}{3}x= 5}[/tex]
[tex]\mathsf{\dfrac{3 + 2}{3}x = 5}[/tex]
[tex]\mathsf{\dfrac{5}{3}x = 5}[/tex]
[tex]\large\text{MULTIPLY }\rm{\dfrac{3}{5}}\large\text{ to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{3}{5}\times\dfrac{5}{3}x = \dfrac{3}{5}\times5}[/tex]
[tex]\large\text{SIMPLIFY IT!}[/tex]
[tex]\mathsf{x = \dfrac{3}{5}\times5}[/tex]
[tex]\mathsf{x = \dfrac{3}{5}\times\dfrac{5}{1}}[/tex]
[tex]\mathsf{x = \dfrac{3\times5}{5\times1}}[/tex]
[tex]\mathsf{x = \dfrac{15}{5}}[/tex]
[tex]\mathsf{x = \dfrac{15\div5}{5\div5}}[/tex]
[tex]\mathsf{x = \dfrac{3}{1}}[/tex]
[tex]\mathsf{x = 3\div1}[/tex]
[tex]\mathsf{x = 3}[/tex]
[tex]\huge\text{Therefore, your answer: \boxed{\mathsf{x = 3}}}\huge\checkmark[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Which statement describes the end behavior of the function f(x)= |x-7| -7?
A. As x approaches negative infinity, f(x) approaches negative infinity.
B. As x approaches negative infinity, f(x) approaches positive infinity.
C. As x approaches positive infinity, f(x) is no longer continuous.
D. As x approaches positive infinity, f(x) approaches negative infinity.
Answer:
A. B. C. D.
Step-by-step explanation:
because Which statement describes the end behavior of the function f(x)= |x-7| -7?
A. As x approaches negative infinity, f(x) approaches negative infinity.
B. As x approaches negative infinity, f(x) approaches positive infinity.
C. As x approaches positive infinity, f(x) is no longer continuous.
D. As x approaches positive infinity, f(x) approaches negative infinity.
Find the midpoint between the given points: (2,-1), (10,-9)
Answer: (6, -5)
Step-by-step explanation: I used the midpoint formula and this is what I got. I hope this helps!
The formula:
(xm, xy) = (x1 + x2/2, y1 + y2/2)
please help to answer with working.
Answer:
When r=0.2, m=0.016g
When m=0.25, r=0.5cm
When r=0.7, m=0.686g
When m=11.664, r=1.8cm
Step-by-step explanation:
General outline of steps for proportionality problems:
Identify the type or proportionality.Find the proportionality constant using a known input/output pair.Use the proportionality equation to find other unknowns.Background on proportionality relationshipsThere are two main types of proportionality, "direct" and "inverse", and then there are modifications that can be made to them. Several examples are listed below:
Direct proportionality examples
y is directly proportional to x: [tex]y=kx[/tex]y is directly proportional to the square of x: [tex]y=kx^2[/tex]y is directly proportional to the cube of x: [tex]y=kx^3[/tex]Inverse proportionality examples
y is inversely proportional to x: [tex]y=\dfrac{k}{x}[/tex]y is inversely proportional to the square of x: [tex]y=\dfrac{k}{x^2}[/tex]In each case, irregardless of which type, the two quantities are related with some extra letter "k", called the proportionality constant. Either way, the proportionality constant "k" is always in the numerator, and the quantity is either multiplied to or divided from the proportionality constant "k".
Notice that for direct proportionality, in each case, the equation always ends up as "k times" the quantity.
On the other hand, notice that for inverse proportionality, in each case, the equation always ends up as "k divided by" the quantity.
Step 1. Identify the type or proportionality (Setting up our proportionality equation)The problem says "... the mass, m g, of a sphere is directly proportional to the cube of its radius, r cm...", so our equation will look like [tex]m=kr^3[/tex].
Step 2. Finding the proportionality constantTo find the proportionality constant for our situation, one must know a full input/output pair. Notice that in the 4th column, [tex]r=1.5[/tex] and [tex]m=6.75[/tex].
Substituting these values into our equation, we can find "k".
[tex](6.75)=k(1.5)^3[/tex]
[tex]6.75=k*3.375[/tex]
[tex]\dfrac{6.75}{3.375}= \dfrac{k*3.375}{3.375}[/tex]
[tex]2=k[/tex]
So, the proportionality constant for this situation is 2, and our equation for this situation becomes: [tex]m=2r^3[/tex]
Step 3. Finding the other inputs/outputsNow that we know the proportionality constant for this situation, if we have either the input OR the output, we can solve for the other unknown.
r=0.2
[tex]m=2r^3[/tex]
[tex]m=2(0.2)^3[/tex]
[tex]m=2(0.008)[/tex]
[tex]m=0.016[/tex]
Recall the the question said that the mass, m, was measured in grams, and the radius, r, was measured in centimeters. So, if the radius is 0.2cm, then the mass of the sphere would be 0.016g.
m=0.25
[tex]m=2r^3[/tex]
[tex](0.25)=2r^3[/tex]
[tex]\dfrac{0.25}{2}=\dfrac{2r^3}{2}[/tex]
[tex]0.125=r^3[/tex]
[tex]\sqrt[3]{0.125} = \sqrt[3]{r^3}[/tex]
[tex]0.5=r[/tex]
So, if the mass of the sphere were 0.25g, the radius of the sphere would be 0.5cm.
r=0.7
[tex]m=2r^3[/tex]
[tex]m=2(0.7)^3[/tex]
[tex]m=2(0.343)[/tex]
[tex]m=0.686[/tex]
So, if the radius is 0.7cm, then the mass of the sphere would be 0.686g.
m=11.664
[tex]m=2r^3[/tex]
[tex](11.664)=2r^3[/tex]
[tex]\dfrac{11.664}{2}=\dfrac{2r^3}{2}[/tex]
[tex]5.832=r^3[/tex]
[tex]\sqrt[3]{5.832} = \sqrt[3]{r^3}[/tex]
[tex]1.8=r[/tex]
So, if the mass of the sphere were 11.664g, the radius of the sphere would be 1.8cm.
2 more than product of a number and 9 is 8. variable w
Answer:
w (number) = 2/3
Step-by-step explanation:
Variable w means use the letter w as the unknown number :
This is the equation made from the question :
2+(9w) = 8
Let's subtract 2 from both sides :
9w = 6
Divide both sides by 9 :
w = 6/9
Simplify fraction :
w = 2/3
Hope this helped and have a good day
On a walk through the woods, Mr. Finley saw 16 blue jays and 25 purple finches. Write the ratio of finches to blue jays three different ways.
Answer:
25:16
50:32
100:64
Step-by-step explanation:
A decision at the margin Crystal is a hard-working college senior. One Thursday, she decides to work nonstop until she has answered 100 practice problems for her math course. She starts work at 8:00 AM and uses a table to keep track of her progress throughout the day. She notices that as she gets tired, it takes her longer to solve each problem. Time Total Problems Answered 8:00 AM 0 9:00 AM 40 10:00 AM 70 11:00 AM 90 Noon 100 Use the table to answer the following questions. The marginal, or additional, gain from Crystal’s first hour of work, from 8:00 AM to 9:00 AM, is problems. The marginal gain from Crystal’s third hour of work, from 10:00 AM to 11:00 AM, is problems. Later, the teaching assistant in Crystal’s math course gives her some advice. “Based on past experience,” the teaching assistant says, “working on 35 problems raises a student’s exam score by about the same amount as reading the textbook for 1 hour.” For simplicity, assume students always cover the same number of pages during each hour they spend reading. Given this information, in order to use her 4 hours of study time to get the best exam score possible, how many hours should she have spent working on problems, and how many should she have spent reading? 0 hours working on problems, 4 hours reading 1 hour working on problems, 3 hours reading 3 hours working on problems, 1 hour reading 4 hours working on problems, 0 hours reading
She should spend 1 hour working on problems , 3 hour reading , Option B is the right answer.
What is Margin gain ?The gain of the desired effect with respect to the previous gain is called margin gain
The marginal gain from 8:00 am to 9:00 am is
(40-0) = 40 problems
The marginal gain from 9:00 am to 10:00 am is
= 70-40 = 30 problems
The marginal gain from 10:00 am to 11:00 am is
(90-70) = 20 problems
As if she does more than one hour of problem solving her productivity decreases to 30 which is less than 1 hour of reading textbook
Therefore she should not spend more than 1 hour on problem solving.
Therefore Option B is the right answer.
1 hour working on problems , 3 hour reading
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At the start of the week, Monique’s savings account had a balance of $326. She made a $45 withdrawal each day for seven days. During that week, she also made two deposits of $125 each. Which integer represents the balance in Monique’s account at the end of the week?
–891
–261
261
891
Answer:
C. 261
Step-by-step explanation:
45 times 7= 315
326-315=11
125 times 2=250
250+11=261
so the answer is C. $261
Expanded form of 1,256
Answer:
one thousand two hundred fifty six
Step-by-step explanation:
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Gabriel quiere comprar un carro que cuesta 286,000. La agencia le ofrece un crédito a una tasa de 9% anual, con pagos trimestrales durante un año. Elabora la tabla de amortización del crédito
Determine whether each ordered pair is a solution to the inequality −7x−y>2.
Answer:
[tex]x < - \frac{2 + y}{7} [/tex]
Step-by-step explanation:
[tex] - 7x > 2 + y \\ x < - \frac{2 + y}{7} [/tex]
How can triangles be proven similar by the SAS similarity theorem?
Answer: Option (2)
Step-by-step explanation:
We need the angle to be included between the two mentioned sides.
This eliminates the first and fourth options.Also, the sides need to be corresponding for the ratio, and both sides of the triangle need to be in either the numerators or the denominators.
This eliminates the third option.If $4500 is invested at 10% annual interest, which is compounded continuously, what is the account balance after 3 years, assuming no additional deposits or withdrawals are made?
Answer:
$6074.36
Step-by-step explanation:
The formula for continuous compounding is
F = Pe^(rt)
F = $4500 × e^(0.1 × 3)
F = $6074.36
Answer: $6074.36
Write the integral and solve for the area under the curve:
Answer:
Integral: [tex]\int\limits^\pi _0 {3sinx} \, dx[/tex]
Area: 6
Step-by-step explanation:
[tex]\int\limits^\pi _0 {3sinx} \, dx = -3[cosx]_{0} ^{\pi} = 6[/tex]
The number N of tree of a given species per acre is approximated by the model
N = 68(10)-0.042
above the ground.
Use the model to approximate the average diameter of the trees in a test plot when N = 21.
7,5 ≤ x ≤ 40 where x is the average diameter of the trees (in inches) 3 feet
Answer:
1 answer
The area of triangle with vertices A(0, 9), B(0, 4) and C( - 5, - 9) is
Help! Select the correct answer.
Graph the following system of inequalities. WILL GIVE BRAINLY!!
Answer:
w is the correct answer
Step-by-step explanation:
[tex]y \leqslant \frac{1}{3} x - 2[/tex]
If we choose the point (3, 0), we obtain
0 <= -1, which is not true. So we shade the region to the left of x = 4 (which is a dashed vertical line) and below
y = (1/3)x - 2 (which is a solid line).
The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5 She have half of her encyclopedias to her brother and he gave her 5 books of fairytales Now she has 14 more books of fairy tales than encyclopedias How many picture books does she have
The number of picture books does Annette have is 76 books.
Given the ratio of picture books , encyclopedias and fairy tales books is 3:4:5 and she have half of her encyclopedias to her brother and he gave her 5 books of fairytales
We need to find the number of picture books does she have
According to the statement the total number of books does Annette have is
3k+4k+5k = 12k
Where k is total number of books
Now , Picture book she have = 3/12k = 1/4k
Encyclopedia she have = 4/12k = 1/3k
Fairy tale she have = 5/12k
Here,
Encyclopedia +14 = Fairy tale
Substituting the values of Encyclopedia and Fairy tale
(1/3 -1/2)k +14 = (5/12k -5 )
Therefore.
(1/6k+14) = (5k/12-5)
Therefore,
14+5 = 5k/12 - k/6
Therefore,
19 = 3k/12
19*4=k
76 = k
Here k = 76 books
Hence the total number of picture books does she have is 76
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The equation for free fall at the surface of some planet (s in meters, t in seconds) is s=2.86t^2. How long does it take a rock falling from rest to reach a velocity of 25.1 m/s on this planet?
The time taken by the rock will be 8.77 seconds.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
Given that:-
The equation for free fall at the surface of some planet (s in meters, t in seconds) is s = 2.86t²
The time will be calculated by using the speed formula.
Speed = Distance \ Time
25.1 = 2.86t² \ t
t = 25.1 / 2.86
t = 8.77 seconds
Therefore the time taken by the rock will be 8.77 seconds.
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A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number greater than 2
the angle is 36.2 less than it’s complementary angle
Answer:
below
Step-by-step explanation:
Measure of each angle is 27 and 63 degrees.
In the diagram below, ABC~ DEC. What is the value of x?
The value of x will be 3
From given diagram, triangle ABC and EDC meet at a common vertex C.
So, triangle ABC and EDC both are congruent to each other.
Applying the similarity property of congruence, ratio of the congruent triangles' corresponding sides will be equal.
Therefore,
[tex]\frac{AB}{ED} = \frac{AC}{EC} = \frac{BC}{CD}[/tex]
[tex]\frac{AC}{EC} = \frac{BC}{CD}[/tex]
Simplifying the expression,
We get
(18-x)/x = 25/5
(18-x)/x = 5
18-x = 5x
18-x-5x = 0
18 - 6x = 0
- 6x = -18
x = 3
Hence, the value of x is 3.
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