What is 0.182 rounded to the 2 decimal point?
(2dp)
How many perfect squares less than 100 have a tens digit of 6?
If a class has 10 men and 14 women what is the ratio of men to the class
The ratio of men to class is 0.41.
We have a class of 10 men and 14 women.
We have to find out what is the ratio of men to the class.
Is a : b same as [tex]\frac{a}{b}[/tex] ?Yes, a : b is same as [tex]\frac{a}{b}[/tex]. Here, ' a ' is called Antecedent and ' b ' is called Consequent.
In the question given -
Total number of men in the class , n(m) = 10
Total number of students in class, n(c) = 24
Ratio of men to class = [tex]\frac{n(m)}{n(c)}[/tex] = [tex]\frac{10}{24}[/tex] = 0.41
Hence, the ratio of men to class is 0.41.
To Solve more questions on Ratio, clink on the link below -
https://brainly.com/question/13419413
#SPJ2
Final answer:
The ratio of men to the entire class of 10 men and 14 women is 5:12, simplified by dividing the numbers of men and total students by the greatest common divisor.
Explanation:
The question asks to find the ratio of men to the entire class. The class has a total of 10 men and 14 women, which means the class size is 10 (men) + 14 (women) = 24 students.
To calculate the ratio of men to the entire class, divide the number of men by the total number of students: Ratio = 10 (men) / 24 (students). This can be simplified by dividing both numbers by the greatest common divisor, which is 2, giving us a simplified ratio of 5 (men) to 12 (students).
The ratio of men to the class is therefore 5:12.
The 6 members of the homecoming decorating committee want to make 525 paper flowers for the homecoming dance. Each flower takes about 412 minutes to make. About how long will each member of the committee have to spend making flowers?
Answer:
About 7 hours per person
Step-by-step explanation:
412 divided by 60 because there are 60 minutes in an hour.
6.8667 which is about 7 hours.
The each member will take 7 hours.
What is Unitary method?The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value
Given:
total member = 6 member
Each flower take = 412 minutes
we know
1 hour= 60 minutes
So, each member will have
=412/60
=6.866
=7 hours
Hence, each member will work for 7 hours
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
A television network counted 1,771,548 viewers watching the golf tournament on its channel.There where 5,861,014 viewers watching a football game on another channel. Round eack number to the nearest thousand about how many viewers were watching the two events on telveision? A. 7,500,000 B. 7,600,000 C.7,700,000 D. 8,000,000
A fish tank at an aquarium has a volume of 1,568 cubic feet and a depth of 8 feet. If the base of the tank is square, what is the length of each side of the tank?
volume = l x w x h
1568 /8 = 196
sqrt(196) = 14
each side is 14 feet
Answer with Step-by-step explanation:
A fish tank is in the shape of cuboid.
It's height is 8 feet
and volume=1568 cubic feet
we know that volume of cuboid=lbh
where l is the length, b is the width and h is the height
The base of the tank is square
i.e. l=b
Volume=l²h
⇒ 1568=l²×8
⇒ l²=196
⇒ l=14
Hence, The length of base of tank=14 feet
width of tank=14 feet
and height=8 feet
Which ordered pairs are solutions to the inequality 2x+y>−4?
Select each correct answer.
(5, −12)
(−3, 0)
(−1, −1)
(0, 1)
(4, −12)
we will proceed to resolve each case to determine the solution
we have
[tex]2x+y>-4[/tex]
[tex]y>-2x-4[/tex]
we know that
If an ordered pair is the solution of the inequality, then it must satisfy the inequality.
case a) [tex](5,-12)[/tex]
Substitute the value of x and y in the inequality
[tex]-12>-2*5-4[/tex]
[tex]-12>-14[/tex] ------> is True
therefore
the ordered pair [tex](5,-12)[/tex] is a solution of the inequality
case b) [tex](-3,0)[/tex]
Substitute the value of x and y in the inequality
[tex]0>-2*-3-4[/tex]
[tex]0>2[/tex] ------> is False
therefore
the ordered pair [tex](-3,0)[/tex] is not a solution of the inequality
case c) [tex](-1,-1)[/tex]
Substitute the value of x and y in the inequality
[tex]-1>-2*-1-4[/tex]
[tex]-1>-2[/tex] ------> is True
therefore
the ordered pair[tex](-1,-1)[/tex] is a solution of the inequality
case d) [tex](0,1)[/tex]
Substitute the value of x and y in the inequality
[tex]1>-2*0-4[/tex]
[tex]1>-4[/tex] ------> is True
therefore
the ordered pair [tex](0,1)[/tex] is a solution of the inequality
case e) [tex](4,-12)[/tex]
Substitute the value of x and y in the inequality
[tex]-12>-2*4-4[/tex]
[tex]-12>-12[/tex] ------> is False
therefore
the ordered pair [tex](4,-12)[/tex] is not a solution of the inequality
Verify
using a graphing tool
see the attached figure
the solution is the shaded area above the line
The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality
Please help! Explain how to solve!
Which of the following is the range thanks
Describe the translation from AB TO AB
→A = (-5,1)
A' = (4,3)
so x moved from -5 to 4 which is an increase of 9
so x+9
y moved from 1 to 3 which is an increase of 2
so y+2
so answer should be:
(x,y) → (x+9,y+2)
Refer to the equation 2x − 6y = 12. (a) Create a table of values for at least 4 points. Show your work.
One day a store sold 20 sweatshirts. White ones cost $ 10.95 and yellow ones cost $ 13.50. In all, $262.35 worth of sweatshirts were sold. How many of each color were sold?
What might a model for 3 x 3/5 look like? How many fifths would be shaded in all?
Bens date of birth is a prime number between 15 and 25. This number has 57 as a multiple.
Jane has $1000 that she would like to put in a savings account. The table below shows the balance over time in her account at a local bank.
Based on this model, how much would Jane have in her account after 12 years? Round to the nearest dollar if necessary.
time (years) balance in account
0 1000
1 1080
2 1166.40
3 1259.71
4 1360.49
answers
A.2518
B.2520
C.3000
D.2500
A bottle of soft drink is two thirds full. Jack drinks one quarter of the remaining soft drink. How full is the bottle now
Charli,
First find what 1/4 of 2/3 is.
1/4 of 2/3 = 1/6
(That is 1/4 times 2/3 = 1/6)
So, the bottle was 2/3 full, it is now ...
2/3 - 1/6
=4/6 - 1/6
= 3/6 or 1/2 full.
We know that the bottle of soft drink has a remaining volume which is 2 / 3 of the original.
Since Jack drank 1 / 4 of the remaining volume, hence only 3 / 4 now finally remains, the total is:
(2 / 3) * (3 / 4) = 6 / 12 = 1 / 2
Hence the bottle is now one half full
A pizza is cut into eight slices the slices are all the same size Carolina ate 2 slices what fraction of the pizza did Carolina eat
A personal trainer makes $25,000 per year and has just begun contributing 6% of his salary to his 401k plan if his employer matches 9% of his contributions how much will have been contributed to the 401k plan after 4 years
Solve for x.
5x2−34x=−24
To solve for x in 5x² - 34x = -24, set the equation to equal 0, factor the equation, and find the possible values for x. In this case, the solutions are x = 6/5 and x = 4.
Explanation:This is a problem in algebra, more specifically quadratic equations. To solve for x in the equation 5x² - 34x = -24, you first need to set the equation to equal zero: 5x² – 34x + 24 = 0.
Next you can factor the equation to find the possible values for x. In this case, the factored form is 5x² - 20x - 14x + 24 = 0 which further simplifies to 5x(x - 4) - 6(x - 4) = 0, and then (5x - 6)(x - 4) = 0.
When you set each factor equal to zero, you find the possible solutions for x. From 5x - 6 = 0, x = 6/5; and from x - 4 = 0, x = 4. Therefore the solutions are x = 6/5 and x = 4.
Learn more about Solving Quadratic Equations here:https://brainly.com/question/30398551
#SPJ2
Hank draws a line with a zero slope through the points (–2, 4) and (3, b). Which value of b could represent Hank’s second point? –3 –1 4 9
As per the slope of a line, the value of 'b' is 4.
What is the slope of a line passing through two points?The slope of a line(m) passing through two points (x₁, y₁) and (x₂, y₂)can be represented as:
m = (y₂ - y₁)/(x₂ - x₁)
Given, the slope of the line is (m) = 0.
Here the given points are (–2, 4) and (3, b).
Therefore, substituting the values, we get:
0 = (b - 4)/[(3 - (- 2)]
⇒ (b - 4)/5 = 0
⇒ b - 4 = 0
⇒ b = 4
Learn more about the equation of a straight line here: https://brainly.com/question/3825550
#SPJ3
The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used. B = 153°, c = 10, b = 14
Answer:
The given triangle is possible.
Step-by-step explanation:
Given, the measurement of triangle ABC are,
∠ B = 153°, c = 10, b = 14,
By the law of sine,
[tex]\frac{sin C}{c}=\frac{sin B}{b}[/tex]
By cross multiplication,
[tex]sin C = \frac{c\times sin B}{b}[/tex]
By substituting the values,
[tex]sin C=\frac{10\times sin 153^{\circ}}{14}[/tex]
[tex]sin C=0.324278928386[/tex]
[tex]\implies \angle C=18.9218948147\approx 18.922^{\circ}[/tex]
Since, with help of sin law we found the measurement of the unknown angle of the triangle.
Hence, the given triangle is possible.
Answer:
C = 18.9°, A = 8.1°, a ≈ 4.3
Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work. 1/4X^3=-27/4
Answer:
x=3
Step-by-step explanation:
Factor 64-x^15 in mathhhhgg
Answer:
Factor of [tex]64-x^{15}[/tex] is [tex](4-x^{5})(16+4x^{5}+x^{10})[/tex]
Step-by-step explanation:
We need to factor the expression [tex]64-x^{15}[/tex]
Re-write the given expression [tex]64-x^{15}[/tex] as;
[tex]4^{3}-(x^{5})^{3}[/tex]
Since, [tex]a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})[/tex]
so, here [tex]a = 4[/tex] and [tex]b = x^{5}[/tex]
[tex](4-x^{5})(4^{2}+4x^{5}+(x^{5})^{2})[/tex]
[tex](4-x^{5})(16+4x^{5}+x^{10})[/tex]
Hence, factor of [tex]64-x^{15}[/tex] is
[tex](4-x^{5})(16+4x^{5}+x^{10})[/tex]
The value of factor of expression 64 - x¹⁵ is,
⇒ (4 - x⁵) (16 + 4x⁵ + x¹⁰)
We have to given that;
To factor the expression,
⇒ 64 - x¹⁵
Now, We can simplify as;
⇒ 64 - x¹⁵
⇒ 4³ - (x⁵)³
⇒ (4 - x⁵) (4² + 4x⁵ + (x⁵)²)
⇒ (4 - x⁵) (16 + 4x⁵ + x¹⁰)
Therefore, The value of factor of expression 64 - x¹⁵ is,
⇒ (4 - x⁵) (16 + 4x⁵ + x¹⁰)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
BRAINLIETS ND POINTSTO ANSWER THAT SHOWS ALL WORK YOU MIGHT NEED TO WORK OUT ON PAPER!!!
you are given the following equation:
+6=4/5(+3)
3a. Identify the slope of the equation.
3b. Identify the point used in the equation.
3c. Graph the equation.
Rectangle EFGH is translated according to the rule T -5,9(x,y). If the coordinates of the pre-image of point H are(-2,-3) what are the coordinates of H’
Answer: The co-ordinates of the image H' are (-7, 6).
Step-by-step explanation: Given that the rectangle EFGH is translated according to the following rule :
[tex]T_{-5,9}(x,y).[/tex]
We are to find the co-ordinates of the image H' if the co-ordinates of the pre-image H are (-2, -3).
We know that
[tex]T_{h,k}(x,y)=(x+h,y+k).[/tex]
For the given information, we have
(h, k) = (-5, 9) ⇒ h = -5 and k = 9.
Therefore, we get
[tex]T_{-5,9}(-2,-3)=(-2-5,-3+9)=(-7,6).[/tex]
Thus, the co-ordinates of the image H' are (-7, 6).
I really really need help with this question! PLEASE!
Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of socks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with $43.92?
Answer:
[tex]2.99x+12.99y=43.92[/tex]
Step-by-step explanation:
Hanna shops for socks that cost $2.99 for each pair.
And blouses that cost $12.99 each.
Let x represent the number of pairs of socks purchased.
Let y represent the number of blouses purchased.
So, the cost for x socks will be [tex]2.99x[/tex]
And cost of y blouses will be [tex]12.99y[/tex]
Total amount spent by Hanna = $43.92
So, the equation that will model this situation will be:
[tex]2.99x+12.99y=43.92[/tex]
A simple index of three stocks opens the day with these values: The index rises 3.4% over the course of the day. What is the value of the index at the end of the day? Round your answer to the nearest hundred.
Answer:
The value of the index at the end of the day is $45392.6.
Step-by-step explanation:
Given : A simple index of three stocks opens the day with these values:
[name] [number of shares] [price per share]
stock x 5000 shares $4.10
stock Y 2000 shares $4.50
stock z 4000 shares $3.60
The index rises 3.4% over the course of the day.
To find : What is the value of the index at the end of the day? Round your answer to the nearest hundred ?
Solution :
Stock values of x,y and z is given by,
Stock x,
[tex]5000\times 4.10=\$20500[/tex]
Stock y,
[tex]2000\times 4.50=\$9000[/tex]
Stock z,
[tex]4000\times 3.60=\$14400[/tex]
The total amount will be
[tex]A=20500+9000+14400[/tex]
[tex]A=\$43900[/tex]
The index rises 3.4% over the course of the day.
The value of the index at the end of the day is
[tex]V=43900 \times (1+3.4\%)\\V=43900 \times (1+0.034)\\V=43900 \times 1.034\\V= 45392.6[/tex]
Therefore, the value of the index at the end of the day is $45392.6.
If you multiply a number by 3 and then subtract 5 you will get 40 what is the number
To find the answer the question first write it out. 3*x-5=40. move the five over next to the 40 and cancel out -5. so the new equation looks like this. Then add 40+5 which is 45.Lastly you have the number 3 and the variable x. now you have to divide 3 by 45 to get your final answer 15. so x=15.
3*x=40+5
3*x=45
Hope this helps!!
Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−5).
A. 104
B. −246
C. 146
D. 250
Answer:
Option A is correct
The value of (h ∘ g)(−5) is, 104
Step-by-step explanation:
Given the functions:
g(x) = 2x
[tex]h(x) = x^2 + 4[/tex]
We have to find (h ∘ g)(−5).
[tex](h o g)(-5) = h(g(-5))[/tex] ....[1]
At x = -5
g(-5) = 2(-5) = -10
then
Substitute the g(-5) in [1] we have;
[tex](h o g)(-5) = h(-10)[/tex]
⇒[tex](h o g)(-5) = (-10)^2+4 = 100+4 = 104[/tex]
⇒[tex](h o g)(-5) = 104[/tex]
therefore, the value of (h ∘ g)(−5) is, 104