The ratio of girls to all students in a class is 3/5.What is the ratio of boys to all students in the class? If there are 15 girls in the class. How many students are in the class?
Answers
So we are being asked about the ratio of boys to all students and the only information we have is the ratio of girls to all students. Since students can either be boys or girls then we know that the sum of both ratios must be 1. Then, if we use B to label the ratio of boys we have:
\(\begin{gathered} 1=B+\frac{3}{5} \\ 1-\frac{3}{5}=B \\ B=\frac{2}{5} \end{gathered}\)So the ratio of boys to all students is 2/5.
Next, we need to find the number of students in the class. We know that 15 are girls and since 3/5 of the total number of students are girls this means that:
\(\frac{3}{5}\cdot N=15\)Where N is the number of students. Now we just need to find N using this equation:
\(\begin{gathered} \frac{3}{5}\cdot N=15 \\ 3\cdot N=15\cdot5 \\ 3N=75 \\ N=\frac{75}{3}=25 \end{gathered}\)So there are 25 students in the class.
Related Questions
What function is being described Justify each part of your function, explaining how you determined it.
My function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2. It has end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity. The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
Answers
The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.
What is the end behavior of a polynomial function?The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.
Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.
The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.
The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.
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Find theValue of x
40°
70°
(5x+10)°
Answers
Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.
therefore,\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)
\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)
\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)
Value of x = 20°
Hey! there . Thanks for your question :)
Answer:
20° is the correct answer.Step-by-step explanation:
In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.
Solution :-
For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :
Step 1: Making equation :
\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)
Solving :
\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)
Step 2: Subtracting 10 on both sides :
\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)
We get ,
\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)
Step 3: Dividing both sides by 5 :
\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)
On cancelling , we get :
\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)
Therefore , value of x is '20°'Verification :-
For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :
40° + 70° = 5(20°) + 10°110° = 100° + 10°110° = 110°L.H.S = R.H.STherefore , our answer is correct .
Hope , it'll help you! :)#\( \underline{ \sf{ \bold{ Keep \: Learning }}}\)Which of the following is equivalent to the expression?
Answers
Answer:
I did not understand your question.
But the answer is 40.0625
Answer:
we add the powers to have 4-6 =-2
4 to power -2 which gives 0.0625
Write an expression using the distributed property to dind the product of 7x63
Answers
The product of the expression 7 x 63 is 441.
We have,
To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:
7 x 63 = 7 x (60 + 3)
Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:
7 x (60 + 3) = 7 x 60 + 7 x 3
Simplifying further:
7 x 60 + 7 x 3 = 420 + 21
Therefore,
The product of 7 x 63 is 441.
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A woodworking artist makes two types of carvings: type X and type Y. He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings. His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less. If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week, which of the following systems of inequalities models this situation?
A. 2x + 3y ≥ 30, 6x + 4y ≤ 120
B. 2x + 3y ≥ 30, 6x + 4y ≥ 120
C. 2x + 3y ≤ 30, 6x + 4y ≤ 120
D. 2x + 3y ≤ 30, 6x + 4y ≥ 120
Answers
The linear systems of inequalities model this situation will be 2x + 3y ≥ 30 and 6x + 4y ≤ 120. Then the correct option is A.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A woodworking artist makes two types of carvings: type X and type Y.
He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings.
His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less.
If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week.
Then the linear systems of inequalities models this situation will be
2x + 3y ≥ 30 and 6x + 4y ≤ 120
Thus, the correct option is A.
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Find a solution for each variable based on the given information.
Answers
Answer:
Whites don't deserve rights
Step-by-step explanation:
3. The bakers at Healthy Bakery can make 240 bagels in 5 hours. How many bagels
can they bake in 13 hours? What was that rate per hour?
Answers
The answer is 624 bagels in 13 hours. The rate is 48 bagels per hour.
240/5 = 48
48 * 13 = 624
A new cell tower is being constructed and needs a guy-wire connected 157 feet up thetower and it needs to make an angle of 54° with the ground. What length does the wireneed to be?
Answers
Let's make a diagram of the problem:
The sine of an angle is given by the formula:
\(\sin \theta=\frac{opposite}{hypotenuse}\)We know the opposite side measures 157 ft, and the angle is 54°. Replace these values, and solve for x (the hypotenuse):
\(\begin{gathered} \sin 54=\frac{157ft}{x} \\ x=\frac{157ft}{\sin 54} \\ x=\frac{157ft}{0.809} \\ x=194.1ft \end{gathered}\)The wire needs to be 194.1 feet long
Omar has three t shirts: one red, one green and one yellow. He has two pairs of shorts one black and red.
-How many different outfits can Omar put together?
-What is the probability of Omar’s outfits including a red T-shirt or red shorts?
Answers
Answer:
Omar can put together 6 outfits.
66.67% probability of Omar’s outfits including a red T-shirt or red shorts
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
-How many different outfits can Omar put together?
For each t-shirt, that are two options of shorts.
There are 3 t-shirts.
3*2 = 6
Omar can put together 6 outfits.
What is the probability of Omar’s outfits including a red T-shirt or red shorts?
Red t-shirt and red shorts
Red t-shirt and black shorts
Green shirt and red shorts
Yellow shirt and red shorts
4 desired outcomes.
4/6 = 0.6667
66.67% probability of Omar’s outfits including a red T-shirt or red shorts
Answer 27 and 28 please!!
Answers
Answer:
27
a 43.56 inches
b 287.496 inches
28
1 1 4 8 9 27 16 64 25 125 36 216 49 343 64 512 81 729 100 1000 121 1331 144 1728Question 9 Annabelle lives at Bermondsey in London. She has to speak at a conference in Birmingham at 10.30am. It will take her an hour from her home to get to Euston Rail Station, from where she will get a train to Birmingham. The train journey from Euston to Birmingham is an hour and 10 minutes. Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour. The meeting venue in Birmingham is a 5-minute walk from the station. What is the latest time that Annabelle can leave home, if she is to make it on time for the meeting in Birmingham? Show your working. (8 marks)
Answers
Answer:
Step-by-step explanation:
working backwards
the five minute walk
10:30 - 0:05 = 10:25
train ride to Birmingham
10:25 - 1:10 = 9:15
Next earliest train departure time
9:05
Getting to Euston Station
9:05 - 1:00 = 8:05 am
Probably wise to leave a couple of minutes earlier to allow for minor emergencies on the way to Euston Station or to account for potential clock synchronization errors.
The train schedule already allows an additional 10 minutes of buffer time after boarding.
The width of a rectangle measures
(7h+3) centimeters, and its length measures
(8h−4) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answers
The expression that represents the perimeter of the rectangle is 30h - 2
How to determine the perimeter expression?The dimensions of the rectangle are given as:
Length = 7h + 3
Width = 8h - 4
The perimeter of the rectangle is given as:
P = 2 * (Length + Width)
Substitute the known values in the above equation
P =2 * (7h + 3 + 8h - 4)
Evaluate the like terms
P = 2 * (15h - 1)
Evaluate the product
P = 30h - 2
Hence, the expression that represents the perimeter of the rectangle is 30h - 2
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5 (v+1) -v = 4 (v-1) +9
Answers
Answer:
All real numbers are solutions.
Step-by-step explanation:
Our goal is to isolate "v" on one side of the equation. Let's do this step by step.
5(v+1)−v=4(v−1)+9
Step 1: Simplify both sides of the equation.
5(v + 1) − v = 4(v−1) + 9
(5)(v) + (5)(1) + −v = (4)(v) + (4)(−1) + 9(Distribute)
5v + 5 + −v = 4v + −4 + 9
(5v + −v) +(5) = (4v) + (−4 + 9) (Combine Like Terms)
4v + 5 = 4v + 5
4v + 5 = 4v + 5
Step 2: Subtract 4v from both sides.
4v + 5 − 4v = 4v + 5 − 4v
5 = 5
Step 3: Subtract 5 from both sides.
5 − 5 = 5 − 5
0 = 0
This means that all real numbers are solutions.
Any real number could be "v."
Hope this helps, please mark brainliest if possible. Have a great day.
Answer:
All numbers are solutions
Step-by-step explanation:
Triangle TUV has sides that measure 12, 8, and 6. Triangle XYZ has sides that measure
8,6,and 3. Can triangles TUV and XYZ be similar polygons?
A. Yes. Regardless of the lengths of the sides, you can always join them by angles that
form similar triangles.
B. Yes. The ratio of 12:6 is the same as the ratio of 6:3.
C. No. The ratio 12:6 is the same as the ratio of 6:3.
D. No. The ratio of the longest sides is 12:8 and the shortest sides is 6:3.
Answers
Answer Is a
Does the table below represent a function? Be sure to explain.
Answers
Two sides of a triangle have lengths 18m and 23m. Describe the possible length of the thired side
Answers
The possible length of the third side will be values that are less than 41 and greater than 5
Triangular theoremFor three sides to be the sides of a triangle, the sum of any two sides of the triangle must be greater than the third.
Given the two sides of a triangle have lengths 18m and 23m, the sum of the sides is given as:
sum = 18 + 23
Sum = 41
Let the third side be x, such that;
x + 18 >23
23 + x > 18
x > 23 - 18
x > 5
Similarly
x > -5
Hence the possible length of the third side will be values that are less than 41 and greater than 5
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Hi can any one teach me this constant difference
Answers
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Gabriella sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
27 visitors purchased no costume.
75 visitors purchased exactly one costume.
11 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase more than one costume as a fraction in simplest form.
Answers
The probability that the next person will purchase more than one costume as a fraction in simplest form is 11/113.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
We have been given the data for the number of people who visited the website and the number of costumes purchased in a single day as;
27 visitors purchased no costume.
75 visitors purchased exactly one costume.
11 visitors purchased more than one costume.
The total number of visitors = 27 + 75 + 11 = 113
Thus;
The probability that the next person will purchase more than one costume as a fraction in the simplest form
P(purchase more than one costume) = 11/113
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8minus 2n +3p has how many terms
Answers
Answer:
It has two terms.
Step-by-step explanation:
Simplify the expression.
4(-8x + 5) – (-33x – 26) =
Answers
Answer:
1x - 31 pls vote branliest
Step-by-step explanation:
Answer:
65x + 46
Step-by-step explanation:
4(-8x + 5) - (-33x - 26)
32x + 20 + 33x + 26
65x + 46
Find the missing angle measure(s).
Yº
Z
X
43°
W
Answers
Answer:
90°grados es la respuesta
(ab)(6a^5b)(-ab) simplified please
Answers
Answer:
25b3a+93b+60a=30a2+b2
Step-by-step explanation:
please please please please please
heeeeeeeeelp
Answer and I will give you brainiliest
Answers
9514 1404 393
Answer:
your marked choice is correct: x = e
Step-by-step explanation:
For the line to go through the origin, the ratio of ln(x) to x at the point must equal the slope at the point.
The slope of ln(x) is 1/x, so we require ...
ln(x)/x = 1/x
ln(x) = 1 . . . . . . multiply by x
x = e . . . . . . . . take antilogs
What is the volume of the figure below?
Answers
Answer:
90
Step-by-step explanation:
4.5*4*5= 90
Which monomial is a perfect cube
Answers
Answer and Explanation: A perfect cube monomial is a monomial with a cube root that is a monomial. In other words, it is a monomial, A, such that there exists a monomial, B, where B × B × B = A.
Answer:
Find the cubic root of the first term ( numbers)
∛49 = 3.659
∛81 = 4.326
∛121 = 4.946
∛ 343 = 7
Because ∛343 is the only whole number answer ( no decimal places) the last answer is the correct one.
Step-by-step explanation:
If this is incorrect ill Try anther one...
What is StartFraction 7 Over 9 EndFraction divided by one-third?
A fraction bar labeled 1. Under the 1 are 9 boxes containing one-ninth. Under the 9 boxes are 3 boxes containing one-third.
2
2 and StartFraction 1 Over 9 EndFraction
2 and one-third
3
Answers
Fractions are numbers represented by the quotients of two integers
The result of 7/9 divided by 1/3 is 7/3
How to determine the quotientThe division expression is given as:
\(\frac 79 \div \frac 13\)
Rewrite the division expression as a product
\(\frac 79 * \frac 31\)
Evaluate the product in the above expression
\(\frac 73\)
So, we have:
7/9 \(\div\) 1/3 = 7/3
Hence, the result of \(\frac 79 \div \frac 13\) is 7/3
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Answer: it's B
Step-by-step explanation:
Among 75 students in epidemiology class, 3 are obese per their BMI on a survey. This survey also collected information about how often students eat Krispy Kreme donuts. Seven students indicated they eat donuts daily. Of those eating donuts daily, 2 are in the obese group. Calculate the appropriate measure of association for the possible association between daily donut eating and obesity and enter your calculated result.
Answers
Answer:
2/7 become obese by eating it every day.
Step-by-step explanation:
1. 25p=100 2. 35=-2x-15
Answers
• Answer:
p = 4
x = - 25
• Step-by-step explanation:
25p = 100
p = 100÷25
p = 4
35 = - 2x - 15
2x = - 35 - 15
2x = - 50
x = - 25
Answer:
1) P= 4 2) x = -25
Step-by-step explanation:
25p = 100
divide both sides by 25
p = 4
35 = -2x - 15
add 15 to both sides
50 = -2x
divide both sides by -2
x = -25
Hope this helps!
What is angle
Enter your answer in the box
Answers
Answer:
CAB is 37 degrees
Step-by-step explanation:
90 + 53 = 143
180 - 143 = 37
Please give me the correct answer.
Answers
Answer:
subtract 40 from both sides
Answer:
You subtract 40 which will equal -6 and now you divide -6/4n and the answer is n=-1.5
Step-by-step explanation: