Given:
Total number of students at Colfax Middle School = 270
Ratio of boys to girls is 5:4.
Total number of students at Winthrop Middle School = 180
Ratio of boys to girls is 4:5.
The two schools hold a dance and all students from both schools attend.
To find:
The fraction of the students at the dance are girls
Solution:
There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4.
[tex]5+4=9[/tex]
Number of boys [tex]=270\times \dfrac{5}{9}=150[/tex]
Number of girls [tex]=270\times \dfrac{4}{9}=120[/tex]
There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:5.
[tex]4+5=9[/tex]
Number of boys [tex]=180\times \dfrac{4}{9}=80[/tex]
Number of girls [tex]=180\times \dfrac{5}{9}=100[/tex]
Now,
Total number of students in both schools [tex]= 270+180[/tex]
[tex]= 450[/tex]
Total number of girls in both schools [tex]= 120+100[/tex]
[tex]= 220[/tex]
The fraction of the students at the dance are girls is
[tex]\text{Required fraction}=\dfrac{\text{Total number of girls in both schools}}{\text{Total number of students in both schools}}[/tex]
[tex]\text{Required fraction}=\dfrac{220}{450}[/tex]
[tex]\text{Required fraction}=\dfrac{22}{45}[/tex]
Therefore, the required fraction is [tex]\dfrac{22}{45}[/tex].
Hep please!!!!!!!!!!!!!!!!!!!!!!!!really need it
Answer:
r = 15
Step-by-step explanation:
r + 2 + 2r - 13 = 34
3r = 45
r = 15
note: brainy award pls ;>
Use the diagram below to answer the following questions
360
Step-by-step explanation:
you must 360 (complete angle)
Two students are having a party. They want to make treat bags for their guests. They want each bag to be identical with nothing leftover. They have 36 Silly Bandz and 72 pieces of Double Bubble to put in the bags. What is the greatest number of treat bags they can make? How many of each item will be in each treat bag?
Answer:
Two students can make maximum 36 treat bags.
Number of pieces of silly Bandz in each bag [tex]=1[/tex]
Number of pieces of Double Bubble in each bag [tex]=2[/tex]
Step-by-step explanation:
Number of pieces of silly Bandz = 36
Number of pieces of Double Bubble = 72
To find greatest number of treat bags that they can make, find H.C.F. of 36 and 72
[tex]36=(2^2)(3^2)\\72=(2^3)(3^2)[/tex]
[tex]H.C.F(36,72)=36[/tex]
So,
they can make maximum 36 treat bags.
Number of pieces of silly Bandz in each bag [tex]=\frac{36}{36}=1[/tex]
Number of pieces of Double Bubble in each bag [tex]=\frac{72}{36}=2[/tex]
what is the value of a
Step-by-step explanation:
take a pic or something cause I can't see it
Anybody wanna help?Asap?
Answer:
58
Step-by-step explanation:
its simple
Hope this help you
Red
In the point-slope form of a line, y-y1 = m(x-x1) , the slope is represented by ..? the x-coordinate of a point is represented by..? and the y-coordinate of the point is represented by..?
Answer:
y, m(x)
Step-by-step explanation:
minus them to get this
How would you get the variable alone in the equation s ÷ 10 = 12? A. Multiply both sides of the equation by 10. B. Multiply both sides of the equation by 12. C. Divide both sides of the equation by 10. D. Divide both sides of the equation by 12.
A. Multiply both sides of the equation by 10.
SInce 10 is being divided with s, weneed to isolate it. To do this multiply 10 on both sides.
My question is in the picture:)
Answer:
10,000
Step-by-step explanation:
The hu family goes out for lunch, and the price of the meal is $57. The sales tax on the meal is 7%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?
The total cost of the meal is $
Answer:
$69.54
Step-by-step explanation:
57 * .07 = 3.99
57* .15 =8.55
8.55+3.99+57 =69.54
HELP!! 20 POINTS
What type(s) of symmetry does this figure have?
rotational symmetry only
point symmetry only
no symmetry
both point and rotational symmetry
Answer:
rotational symmetry only
Interest: $105
Principal: p
Rate: .035
Time: 0.5 y
How do I find the p?
Answer:
P = $ 600.00
Equation:
P = I / rt
Step-by-step explanation:
Complete the square:
Is 5:2 the same as 2:5
Answer:
It is not the same
Step-by-step explanation:
Is 5/2 greater than 2/5? Is 5/2 bigger than 2/5? Is 5/2 larger than 2/5? These are all the same questions with one answer.
When comparing fractions such as 5/2 and 2/5, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below: 5/2 = 2.5
2/5 = 0.4 Therefore, 5/2 is greater than 2/5 and the answer to the question "Is 5/2 greater than 2/5?" is yes.
Step-by-step
Its different because 5:2 and 2:5 (or 5/2 and 2/5) have different numerators and denominators.
ANSWER THIS CORRECTLY AND GET 100 PTS AND BRAINLIEST
Answer:
4y+6x2-6+y is not equivalent3y+6x2+6 is equivalent, but not fully simplified5y-6x2-5+1 is not equivalent5y-8x2-6+14x2 is equivalent and simplified fully3y+6x2-5-1 is equivalent and simplified fully5y+6x2-6 is not equivalent4y-8x2-5+14x2+y-1 is equivalent, but not fully simplifiedHope I helped!! :)Answer:
nmnm
Step-by-step explanation:
nmnmnm
3. A water balloon was thrown
from a window. The height
of the water balloon over
time can be modeled by the
function y= 16x2 + 160x + 50.
What was the maximum
height of the water balloon
after it was thrown?
Note: It the given equation the coefficient of [tex]x^2[/tex] must be -16 instead of 16.
Given:
Consider the height of the water balloon over time can be modeled by the function
[tex]y=-16x^2+160x+50[/tex]
To find:
The maximum height of the water balloon after it was thrown.
Solution:
We have,
[tex]y=-16x^2+160x+50[/tex]
Here, leading coefficient is negative. So, it is a downward parabola and vertex of a downward parabola, is the point of maxima.
If a parabola is [tex]f(x)=ax^2+bx+c[/tex], then
[tex]Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex]
Here, [tex]a=-16,b=160,c=50[/tex]. So,
[tex]-\dfrac{b}{2a}=-\dfrac{160}{2(-16)}[/tex]
[tex]-\dfrac{b}{2a}=-\dfrac{160}{-32}[/tex]
[tex]-\dfrac{b}{2a}=5[/tex]
Now, put x=5 in the given equation.
[tex]y=-16(5)^2+160(5)+50[/tex]
[tex]y=-16(25)+800+50[/tex]
[tex]y=-400+850[/tex]
[tex]y=450[/tex]
The vertex of the given parabolic equation is (5,450).
Therefore, the maximum height of the balloon is 450 units after 5 units of time.
5-x/3=x/2-5 plzzzzzzz
Answer:
There are no solutions
Step-by-step explanation:
A 2-pack of board games cost $7.18. What’s the unit price
Answer:
$3.59
Step-by-step explanation:
3.59
+ 3.59
= 7.18
.............................
Answer: For 5 pirate ships, you need 55 pirates. For 11 pirate ships, you need 121 pirates.
Step-by-step explanation:
22 (# of pirates) divided by 2 (# of ships) = 11 pirates per ship. Use this knowledge of 11 pirates per ship to find how many pirates you need for different numbers of ships:
11*5= 55 for 5 ships &
11*11= 121 pirates for 11 ships.
I don’t get it I need help due today at 11:59
Answer:
25 and 31, respectively
Step-by-step explanation:
1. Divide the number of miles (77 1/2) by the number of gallons (3 1/10).
2. Whatever number you get is where you place your dot
Tip: Converting fractions to decimals can make the work easier (in this case [77 1/2=77.5], [3 1/10=3.1], [99 1/5=99.2], and [3 1/5=3.2]
A square had a perimeter of 68cm. Whatl is the length of each side?
Answer:
17
Step-by-step explanation:
68/4=17
68 is the total perimeter, to get the length of each side is divide by 4, because it's a square, it has 4 sides.
Hope this helps!
Answer:
68 is the length of each side
Basic math equations and calculations play an important role in many jobs tasks. If you were working at a grocery store and your cash register was not automatically calculating the 20% off sale on someone's cereal--how would you solve this issue from the options listed below? If the cereal was normally $2.88, I would... 1 point Take $2.88 and times it by 80 for a sale price of $2.30. Subtract $0.20 for a sale price total of $2.68. Divide 20 from $2.88 for a sale price total of $0.15.
Given :
Price of cereal without off, C = $2.88 .
Percentage off, P = 20% .
To Find :
Price after applying 20% off.
Solution :
Final price = Initial price - 20 % of initial price
[tex]F = 2.88 - 2.88\times \dfrac{20}{100}\\\\F=2.88-0.576\\\\F=\$ 2.304[/tex]
Therefore, final price after sale is $2.304 .
Hence, this is the required solution.
Thomas can paint 6 sections of a fence in 2 hours. Set up a proportional relationship that shows how long it will take Thomas to paint the entire 30 section fence. How many minutes will it take Thomas to paint the entire fence?
Answer:
3sections for every 1 hour
Step-by-step explanation:
6 sections in 2 hours
6/2 and 2/2
3 and 1
3*10= 30 and 1*10 is 10
30 sections in 10 hours
Help me solve this problem please
Answer:
1,2 and 5
Step-by-step explanation:
hope, it will help
help me pleaseeeeeee
Answer:
A
Step-by-step explanation:
u move the decimal place left 2 spaces and u would get 0.024
A new uniform cost 49.99 if its on sale for 15% off what is the cost before tax
Answer:
$42.49
Step-by-step explanation:
This means the cost of the item to you is $42.49. You will pay $42.49 for a item with original price of $49.99 when discounted 15%. In this example, if you buy an item at $49.99 with 15% discount, you will pay 49.99 - 7.4985 = 42.49 dollars.
Answer:
42.49
Step-by-step explanation:
Discount = 15% of 49.99
= 0.15 * 49.99
= 7.4985
Cost after discount = 49. 99 - 7.4985
= 42.4915
= 42.49
Write the first four terms of sequence f(n) = n ^ 2 + 2n + 5
Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below. A rectangle with a length of 3 x and height of x. If Kyle uses 18 feet of wood to make the frame, what is the length of the frame? Write the answer in decimal form.
Given :
A rectangle with a length of 3 x and height of x. If Kyle uses 18 feet of wood to make the frame.
To Find :
The length of the frame.
Solution :
We know, perimeter of the rectangle is given by :
[tex]P=2(l+b)\\\\P=2(3x+x)\\\\P=8x[/tex]
Now, it is given that 18 feet of wood is used.
So,
[tex]8x=18\\\\x = 2.25\ feet[/tex]
Therefore, length of frame is given by 3x = 6.75 feet.
Hence, this is the required solution.
Answer: A, 6.75
Step-by-step explanation: If the frame is 3 times the width and Kyle uses 18 feet them this the only correct option out of the other 3.
Which simplified equation is equivalent to the equation shown below?
15x - 5 + x= -47
A. 11x= -47
B. 16x-5= -47
C. 14x - 5 = -47
D. 21x = -47
Answer: B
Step-by-step explanation:
The simplified equation that is equivalent to the given equation is 16x - 5 = -47. The correct answer is option B.
The equation is given as follows:
15x - 5 + x = -47
A solution to an equation, as we know, is a variable value that, when substituted into the equation, provides a true claim.
To simplify the equation 15x - 5 + x = -47, we can combine the like terms on the left side of the equation.
Combining the terms with 'x', we have:
15x + x - 5 = -47
16x - 5 = -47
Therefore, the simplified equation that is equivalent to the given equation is 16x - 5 = -47.
Learn more about the solution to the equation here:
brainly.com/question/15272274
#SPJ6
Insert the parenthesis to make the equality right:630÷7÷2⋅9⋅25=125
Answer:
(630 ÷ 7) ÷ (2 ⋅ 9) ⋅ 25 = 125
Step-by-step explanation:
630 ÷ 7 ÷ 2 ⋅ 9 ⋅ 25 = 125
(630 ÷ 7) ÷ (2 ⋅ 9) ⋅ 25 = 125
90 ÷ 18 ⋅ 25 = 125
5 ⋅ 25 = 125
125 = 125
The equation c = 2r + 8 represents the cost of an amusement park. C represents the total cost, r is the cost per ride and 8 is the entrance fee to enter. Determine whether there is a proportional relationship between r and c.
Answer:
yes there is because if you do