Mina had a disco for her birthday. For every 2 boys at the disco, there were 3 girls. There were 35 children at the disco in total. How many boys were at the disco?
Answers
There were 14 boys at Mina's disco for her birthday.
What is a ratio?A ratio is a quantitative value that shows the number of times a certain value is in another value.
The number of boys at the disco can be calculated as shown below:It is given that for every 2 boys at the disco, there were 3 girls. This means that the ratio of boys to girls at the disco is 2:3.
Let the proportionality constant be x.
Therefore total boys and girls are 2x and 3x respectively.
There are 35 kids at the disco. This means that the number of boys plus girls is 35. It can be written as shown below:
2x + 3x = 35
⇒ x = 35/5
⇒ x = 7
Total number of boys = 2x
= 2 * 7
= 14 boys
Therefore the total number of boys at the disco is 14.
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Related Questions
The number of sweets in a bag are normally distributed with mean 48 and standard deviation 4.
What is the probability that a bag selected at random contains more than 50 sweets? Give your answer as a decimal correct to 3 significant figures.
Answers
Answer:
0.33 recurring
Step-by-step explanation:
assuming alol the fractions are equal, find the total number of possibilities and assign one for each number
Angle measures in polygons need ASAP thank you
Answers
Answer:
1) 25
2) 61
3) 20
4) 25
5) 65.46
Explanation:
1) Use the formula " (n-2)180. N = the number of sides.
(25-2)180 = 4140
2) The sum of the polygon is 900.
(7-2)180 = 900
Add up all the numbers and variables then equal them to 900.
3) To find an interior of an 18-gon is the use of this formula:
(n-2)180 = Sum of the polygon
Sum / n
(18-2)180 = 2880
2880 / 18 = 160
180 - 160 = 20 ; Because they are supplementary.
4) (25-2)180 = 4140
4140 / 25 = 165.6
5) Copy the formula for explanation #3. But instead of an 18-gon, do 11-gon.
The vector u has magnitude 6 and direction 330°. If vector v = =-u, then what is
the magnitude and direction of vector v? Write your direction in degrees in the
interval 0° 0 < 360°.
Answers
Here we go ~
It's been given that :
[tex]\qquad \sf \dashrightarrow \: \vec{v} = - \vec{u}[/tex]
And magnitude of vector u is 6 units and with a direction 330°
And we are asked to find the magnitude and direction of vector v ~
So, let's get stated ~
As we can observe, vector v and vector u have equal magnitude because they have equal sign between them.
that is :
[tex]\qquad \sf \dashrightarrow \: | \vec{v} | = | \vec{u}| [/tex]
[tex]\qquad \sf \dashrightarrow \: | \vec{v}| = 6 \: units[/tex]
And the negative sign in the equation shows that the two vector have opposite directions or you can say they are anti-paralllel.
So, we can just rotate vector u by 180° to get vector v ~
[tex]\qquad \sf \dashrightarrow \: \hat{n} = 330 \degree - 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: \hat{n} = 150 \degree[/tex]
Conclusion :
vector v has magnitude of 6 units and direction 150°i need help to solve this
Answers
Step-by-step explanation:
(6+r)^2 = 81 + r^2
36 + 12r+ r^2 = 81 + r^2
12r = 81-36 = 45
r = 15/4 = 3.75
1/4 how do u get 16 from it show me the calculations
Answers
Answer:
It's not possible to get 16 from 1 divided by 4 alone. It will always be 0.25
Paula has a client who wants to invest into an account that earns 4% interest, compounded annually. The client opens the account with an initial deposit of $4,000, and deposits an additional $4,000 into the account each year thereafter.
Assuming no withdrawals or other deposits are made and that the interest rate is fixed, the balance of the account (rounded to the nearest dollar) after the eighth deposit is __________.
Answers
The balance of the account after the eighth deposit will be $36857 if an account that earns 4% interest, compounded annually.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
P = 4000, r = 4% = 0.04 and an additional $4,000 into the account each year thereafter.
The balance of the account after the eighth deposit;
[tex]A = \rm 4000\times \dfrac{1\times (1+0.04)^8}{1-(1+0.04)}[/tex]
A = 36856.90 ≈ $36857
Thus, the balance of the account after the eighth deposit will be $36857 if an account that earns 4% interest, compounded annually.
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slope for (-7, -4) and (8, 8)
Answers
Answer:
4/5
Step-by-step explanation:
Hi I need Help* math problem ( i will give brainlist ) Is the following graph linear, exponential or quadratic
Answers
Answer:
the answer is exponential
Step-by-step explanation:
Answer:
Hi! My guess would be exponential.
Step-by-step explanation:
stay safe, and I hope I helped I apologize if I am wrong, good luck friends
Tegan is checking her tax bill for the last year.
the tax rates were as follows:
•No tax on the first of £11,000 earnings
•earnings in excess of £11,000 and up to £43,000 taxed at a rate of 20%
•earnings in excess of £43,000 and up to £150,000 taxed at a rate of 40%
last year Tegan earned £48300 before tax
how much tax did she pay in total. please help give you brainiest.
Answers
A percentage is a way to describe a part of a whole. The total tax of Tegan's earnings will be £8,520(£6,400+£1,200).
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Since there is no tax for the first £11,000, therefore, the earnings which will be taxed,
£48,300 - £11,000 = £37,300
The amount of tax for the income of £11,000 to £43,000, will be,
20% of (£11,000 to £43,000)
= 20% × (£43,000 - £11,000)
= £6,400
The amount of tax for the income of £11,000 to £150,000, will be,
40% of (£43,000 to £48,300)
= 40% × (£5,300)
= £2,120
Hence, the total tax of Tegan's earnings will be £8,520(£6,400+£1,200).
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A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random
bag
What is the probability that the marble drawn will not be blue?
2/9
3/4
7/9
7/8
Answers
Answer:
Probability of anything =
(number of possible successful outcomes)
divided by
(total possible number of outcomes) .
There are 36 total marbles in the bag, so there are 36 total
possible outcomes of one draw.
The successful outcomes are all the possible draws that are
not blue. There are 28 of those.
So the probability of a non-blue selection is
28/36 = 7/9 = 77.8% (rounded)
Step-by-step explanation:
Answer:
The probability that a marble ball drawn will not be blue is
[tex] \frac{7}{9} [/tex]
Eleniz is using her phone all day. her battery life is down to
76 and it drains another 1/9 every hour. how many hours will
the battery last?
Answers
Answer:
6.84 hours
Step-by-step explanation:
I will have to assume 100 is fully charged and that it drains 1/9 of 100 for each hour
76 / ( 100 * 1/9) = 6.84 hrs
BC = ??
need help asap
Answers
Answer:
BC = 5.87
Step-by-step explanation:
To find the last angle:
180° - 50° - 90° = 40°
Once we know that, we can use our given side angle pair to figure out the length.
[tex]\frac{7}{sin(50)}[/tex] * [tex]\frac{?}{sin(40)}[/tex] -> [tex]\frac{7*sin(40)}{sin(50)}[/tex]= ?
Then we plug into a calculator to get: 5.87
Answer:
5.87
Step-by-step explanation:
Concepts
The three different trigonometric functions are sine, cosine, and tangent. They can be memorized as the mnemonic SOHCAHTOA, where:
Sine = Opposite/HypotenuseCosine = Adjacent/HypotenuseTangent = Opposite/AdjacentThe hypotenuse will always stay the same, but depending on the highlighted angle, the opposite and adjacent side can change.
Application
In this case, we're asked to find the length of BC. We're given the length of the opposite side as 7 units. The adjacent side to m∠50° is BC. Since we're dealing with opposite and adjacent, we're going to be using tangent.
Solution (Calculator Needed)
tan(50°) = 7/xtan(50°) * x = 7/x * xtan(50°)x = 7x = 7/tan(50°)x ≈ 5.87Which inequality is equivalent to −y≥18?
Answers
[tex]\rule{199}{1}[/tex]
Given question:-
Which inequality is equivalent to -y≥18?
Answer and how to solve:-
Divide by -1 on both sides to fully simplify the inequality, which is what we're asked to do.
So we get
y≤-18
Notice that the inequality sign changed.
The inequality sign changes when we divide both sides of an inequality by a negative number.
Good luck with your studies.[tex]\rule{300}{1}[/tex]
HELP!!! like plsssss
Answers
Answer:
68 cubic feet
Step-by-step explanation:
Split the object into 2 so you have 2 squares. Now do 2x4x6=48cbft. Then do 5x2x2=20cbft. Then just add them together! 48+20=68!
Hope this helps! ;-)
2+2 son pea los anuncios
Answers
Can you please help me at
a=3/5 b=4/5 c=?
Answers
Answer:
a=3/5 , b=4/5. ,.
c=5/5
c=5/5
=1
Find the arc length and sectors perimeter of an 85 degree arc of a circle with a radius of 4ft
Answers
angle / 360 * 2 pi r
so, if we plug it in, it is
85 / 360 * 2 pi 4
that equals 17 pi / 9 ft^2
that is the arc length.
to find the perimeter of the sector ( a sector is j the region w the arc) add the two radi as well as the newly found arc length
that should be 4 + 4 + 17 pi / 9
this equals roughly 13.9341 ft^2
What is the product of (x − 3) and (x + 7)?
Answers
- - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the product of (x-3) and (x+7)?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
First multiply the x's:-
x•x=x²
Now multiply x times 7:-
7x
So we have
x²+7x
Now multiply -3 times x:-
-3x
So we have
x²+7x-3x
Now multiply 7 and -3:-
x²+7x-3x-21
On simplification,
x²+4x-21
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
= x ^2 +4x-21
While waiting for the school bus, Michiko records the colors of all cars passing through an intersection. The table shows the results. Estimate the probability that the next car through the intersection will be red. Express your answer as a percent. If necessary, round your answer to the nearest tenth. Red, 11 silver, 24 gray, 16 black, 9
Answers
Answer:
18.33%.
Step-by-step explanation:
The total number of cars is 60
what you want is the red number (11)
You set up what you want over what you have and end up with:
11/60
turn this into decimal and you get 0.183
to turn into percent multiply by a 100
You end up with 18.33%
Answer:
18.3%
Explanation:
Red = 11, silver = 24, gray = 16 black = 9
Total Cars = 11 + 24 + 16 + 9 = 60 cars Red Cars = 11 cars[tex]\sf probability = \dfrac{favorable \ outcomes}{total \ possible \ outcomes}[/tex]
[tex]\rightarrow \sf \dfrac{11}{60} \ x \ 100[/tex]
[tex]\rightarrow \sf 18.3 \%[/tex]
what is : 96 x 68.43 ?
Answers
(a+4)²-11(a+4)- 42 factorize
Answers
[tex](a+4)^2 -11(a+4) -42\\\\=x^2 -11x -42~~~~~~~~~~~~~~~~~~~~~~~~;[a+4 = x]\\\\=x^2 -14x +3x -42\\\\=x(x-14) +3(x-14)\\\\=(x+3)(x-14)\\\\=(a+4+3)(a+4-14)~~~~~~~~~~~~;[\text{Substitute back}~ a+4 =x]\\\\=(a+7)(a-10)[/tex]
Answer:
(a - 10) (a + 7)
Step-by-step explanation:
⠀
⠀
⠀⠀⠀⠀□ Question(a + 4)² - 11(a + 4) - 42
Fractorize
⠀
⠀
⠀⠀⠀⠀■ Solution⠀
⠀
Let (a + 4) = xSo the equation will be
⠀
[tex] \sf \large {x}^{2} - 11x - 42[/tex]
⠀
⠀
Using spitting the middle term method.⠀
[tex] \sf {x}^{2} - 14x + 3x - 42[/tex]
⠀
⠀
Taking common⠀
[tex] \sf x(x - 14) + 3(x - 14)[/tex]
⠀
[tex] \sf (x - 14)(x + 3)[/tex]
⠀
⠀
Putting value of 'x'⠀
[tex] \sf (a + 4 - 14)(a + 4 + 3) \\ \\ \boxed{ \frak{(a - 10)(a + 7)} } [/tex]
⠀
What is the product? assume x greater-than-or-equal-to 0 (startroot 3 x endroot startroot 5 endroot) (startroot 15 x endroot 2 startroot 30 endroot)
Answers
The product of the expression assuming x greater-than-or-equal-to 0 is; (30x√30).
What is the product of the expression?The product of the expression assuming the fact that x greater-than-or-equal-to 0 can be evaluated as follows;
(√(3x) × √5) (√15x × 2√30)
(√15x × 2√450x)
(2√6,750x²)
(30x√30)
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Solve the equation -15=8z+7.
z=
Answers
Answer:Hello the Answer to your math problem is attached
Step-by-step explanation:
-7- -13 ( subtracting integers)
Answers
Answer:
Looking at the problem we come across one issue where we have two minus signs. However, this issue can be fixed because for example if we multiply -1 by -1 we would just get 1. Therefore these two minus signs cancel out and we put a plus sign so our problem becomes -7 + 13. Now we just combine and we get 6.
Answer:
6
Step-by-step explanation:
[tex](-7)-(-13)\\(-7)+13\\13-7\\6[/tex]
Charles has 24 marbles. He has 6 more marbles than blue marbles. Which equation represents this situation.
LOOK AT THE PICTURE BELOW!
Answers
Answer:
n + (n + 6) = 24.
Step-by-step explanation:
Let him have n blue marbles, then he has n + 6 other narbles.
He has a total of 24 marbles, so:
n + (n + 6) = 24.
Answer:
B) n + (n + 6) = 24, where n is the blue marbles
Step-by-step explanation:
^^
what is the volume of an equilateral triangular pyramid with base side length of 9 cm, base
height of 7.8 cm, and height of 5 cm? round your answer to the nearest tenth.
Answers
Step-by-step explanatioexplanationexplanatioexplanationnn:
What is 10 raised to the second power x2
Answers
Answer:
100
Step-by-step explanation:
10 to the second power is 10^2. Therefore, that is 10x10.
This results in 100.
Answer:
100
Step-by-step explanation:
it is 100 because first you have to get 2 10's and times 10 x 10= and that equals 100 so thats how you get 100!
The half-life of a radioactive kind of praseodymium is 17 minutes. If you start with 56 grams of it, how much will be left after 34 minutes?
grams
Answers
Answer:
14 gm
Step-by-step explanation:
34 minutes is TWO half lives 1/2 * 1/2 = 1/4 will be left
1/4 * 56 = 14 gm
Which statements about the hyperbola are true? check all that apply. the center is located at (0, 0). there is a vertex at (–6, 0). the transverse axis of the graph is vertical. the foci are located within the rectangular reference box. the directrices are vertical lines.
Answers
The following claims concerning hyperbola are correct:
The center can be found at (0, 0).At (–6, 0), there is a vertex.Vertical lines serve as directrices.What is a hyperbola, exactly?It's worth noting that a hyperbola is essentially an open curve with two branches.
The center is at (0, 0), the vertex is at (–6, 0), and the directrices are all vertical lines.
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Answer:
1,2,5
Step-by-step explanation:
The perimeter of a rectangular field is 354m.
If the width of the field is 81m , what is its length?
Answers
Answer:
The length of the field is equal to 96 m.
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Geometry
Perimeter Formula [Rectangle]: P = 2l + 2w
l is lengthw is widthStep-by-step explanation:
Step 1: Define
Identify given.
P = 354 m
w = 81 m
Step 2: Find Length
[Perimeter Formula - Rectangle] Substitute in variables:354 m = 2l + 2(81 m)Simplify:
354 m = 2l + 162 m[Subtraction Property of Equality] Isolate l term:
192 m = 2l[Division Property of Equality] Isolate l:
96 m = lRewrite:
l = 96 m
∴ we have found the length of the field to be 96 meters.
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Topic: Geometry