Write the converse of the following statement and determine its truth value.
"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"
Answers
Answer:
1) The convers of the conditional statement is;
If the ratio of lefties to righties is 1:8, then a class has 3 left-handed people and 24 right-handed people
2) The convers of the conditional statement is true
Step-by-step explanation:
1) The given statement is presented as follows;
"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"
The hypothesis = A class has 3 left-handed people and 24 right-handed people = p
The conclusion = The ratio of lefties to righties is 1:8 = q
We have;
If p, then q which is p → q
The converse statement = If q, then p which is q → p
Then the converse of the conditional statement can be written as follows;
If the ratio of lefties to righties is 1:8, then a class has 3 left-handed people and 24 right-handed people
2) Given that the ratio of 3:24 = 1:8, we have that both the hypothesis and the conclusion are true, therefore, the converse of the conditional statement is true.
Related Questions
A graph that represents 2x-3y=9
Answers
I attached to pictures, one of me solving the equation for you step by step and then what the graph should look like when i put it in my calculator!!
the slope is 2/3x and it translate down 3 units on the y-axis!!In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?
A. 90
B. 110
C. 130
D. 180
Answers
Answer:
the answer is B on ed2020
Step-by-step explanation:
for answer b, if you subtract 330 from 510 you get soda = 180 cal. then if you subtract 110 from 370 you get 260, and 260 divided by two (he consumed 2 juice) equals 130.
so you have soda = 180 cal and juice = 130 cal
if you plug it into joe's calorie intake you do 130 (1 serving of juice) + 180 (1 serving of soda) and + 220 (two servings of milk) you get 530 which is joe's total calorie intake in liquids, so B (110) is correct
Using matrices to solve, the number of calories that are in 1 serving of milk is; 110 Calories
How to solve Linear Programming problems?
Let the calories in one serving of milk be x
Let the calories in one serving of juice be y
Let the calories in one serving of soda be z
Thus, for Joe, equation to show amount of calories is;;
2x + y + z = 530 -----(1)
For Darius, equation to show amount of calories is; ;
x + 2y = 370 ------(2)
For Marian, equation to show amount of calories is;
3x + z = 510 ------(3)
Using matrix calculator online to calculate this 3 equations, we have;
x = 110 calories.
Read more about Linear Programming at; https://brainly.com/question/23414950
#SPJ2
How is 4209 written using words
Answers
Answer:
Four-thousand two-hundred and nine
hope this helps =3
Answer:
Four-thousand Two-hundred nine is the answer
Step-by-step explanation: you take all the numbers and answer the question from there
Choose the inequality that represents the following graph.
Answers
Answer:
option a is correct thanx
Myesha finds some nickels and quarters under the couch cushions. How many coins does she have if she has 6 nickels and 12 quarters? How many coins does she have if she has x nickels and y quarters?
Answers
If Myesha found 6 nickels and 12 quarters under her cushion, this means that she has a total of 18 coins.
What is an equation?An equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the number of nickels and y represent the number of quarters. There are 2 cups in 1 pint. Hence:
If she has 6 nickels and 12 quarters:
Number of coins = 12 + 6 = 18
If she has x nickels and y quarters:
Number of coins = x + y
If Myesha has 6 nickels and 12 quarters, this means that she has 18 coins.
Find out more on equation at: https://brainly.com/question/2972832
Francisca and Elizabeth are participating in a walk-a-thon fundraiser.
For every hour Francisca walks she raises $25.50. For every hour
Elizabeth walks she raises $14.50. Each girl walks for 3 hours. How
much will they raise together?
Answers
What is the probability of spinning a A?
Answers
Answer:
The probability is 1/4, give me brainliest answer
The step by step solution to this is very simple, There are two "A" spots on the wheel and 8 spots all together. 2/8= 1/4= 25%
Answer: 3/5
Step-by-step explanation:
The probability of spinning a one can be written as a fraction. One out of five sections contain a '1' and so, the probability of spinning a one is 1 / 5 . Because 1 is less than half of 5, this outcome can be described as unlikely. The probability of spinning a two is 3 / 5.
what the answer and show step by step how you got the answer
2(6x+1)=14x-6
Answers
Answer:
[tex]\boxed{x=4}[/tex]
Step-by-step explanation:
[tex]2(6x+1)=14x-6[/tex]
→ Expand brackets on left side
[tex]12x+2=14x-6[/tex]
→ Minus 14x from both sides to collect the x terms
[tex]-2x+2=-6[/tex]
→ Minus 2 from both sides to isolate 2x
[tex]-2x=-8[/tex]
→ Divide both sides by -2 to isolate x
[tex]x=4[/tex]
Answer:
4=x
Step-by-step explanation:
2(6x+1)=14x-6
12x+2=14x-6
+6+2=14x-12x
8=2x
4=x
what does g stand for in math?
Answers
Answer:
g stands for a measure of mass that is approximately equal to the weight of paper clip, penny, or nickel. note: this is not a fake one this is real and I have done my research
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many students are girls?
Answers
Answer:
25
Step-by-step explanation:
40/8 = 5
3:5 so u do 5x5 which is 25
brief explanation and hoped it helped xoxo
Answer:
25 girls
Step-by-step explanation:
boys: girls: total
3 5 8
Take the total number of students and divide by 8
40/8 = 5
Multiply each term by 5
boys: girls: total
3*5 5*5 8*5
15 25 40
There are 25 girls
A store pays $3 for a magazine. The markup is 5%.
Answers
Answer/Step-by-step explanation:
Given;
A store pays $3 for a magazine.
The markup is 5%.
Solve:
$3 × 5% = 0.15 [Markup Price]
$3 + 0.15 = $3.15 [Final Price]
Hence, the total is $3.15.
~Learn with Lenvy~
2x + 3y = 26
3x + 5y = 40
Answers
2x + 3y = 26 -- equation 1
3x + 5y =40 -- equation 2
(Equation 1) * 3
6x + 9y = 78 -- equation 3
(Equation 2) * 2
6x + 10y = 80 -- equation 4
(Equation 4) - (Equation 3)
y = 2 -- equation 5
(Equation 5)'s value of y into (Equation 1)
2x + 3(2) = 26
2x = 20
x = 10
Thus x = 10 and y = 2
Hope that helps!
Please help me with this question on my homework (graded)
Answers
Answer:
could be plus ten and that gives u 49
Step-by-step explanation:
True or false: Outliers can cause data sets to be skewed.
Answers
Answer:
True
Step-by-step explanation:
Firstly, the definition of an outlier is a number farther away from the general populous of digits. For example, a number line can have a lot of numbers clustered at 2, 3, and 4 but might have one way over on 10. This would mean 10 is an outlier.Secondly, a skew is when a dot plot or a box and whisker plot is shaped a certain way. A negative skew would be a graph sloping to the right, and a positive skew is a graph sloping to the left. It looks a bit like a hill.Knowing that the shape is made up of the different numbers and their amount, we can conclude that an outlier, or a number that is stretched far from the others, would affect the data set.This means that the skew might change if there is a variable that is out of place.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
What is the volume of this right cone?
40π cm^3
300π cm^3
400π cm^3
480π cm^3
Answers
I Hope this Helps You?
What is the volume of this right cone? 40π cm³ 300π cm³ 400π cm³ 480π cm³
✓ The answer is 400pi because the area of a cone is A=1/3*pi*r^2*h1/3*pi*100*12 = 400pi
What is the geometric mean of 9 and 18
Answers
[tex]\cfrac{9}{x}~~ = ~~\cfrac{x}{18}\implies 162=x^2\implies \sqrt{162}=x\implies \sqrt{9^2\cdot 2}=x\implies 9\sqrt{2}=x[/tex]
Write the ratio as a fraction in simplest form.
10 feet to 5 yards
Answers
Answer:
1:0.33
Step-by-step explanation:
This is because one foot= .333 yards
I hope this is what you were asking! :)
Toby has $65 to buy t-shirt for his bowling team each t-shirt costs $7
Answers
Answer:
$9.28 per t-shirt
Step-by-step explanation:
plz mark brainlest
Answer:
He has enough money to buy 9 t-shirts and he would have 2 dollars left over
Step-by-step explanation:
Divide 65 by 7. You would get 9 with a remainder of 2. So you have enough to buy 9 t-shirts.
What is the answer to this and show the work please.
Answers
Answer: 6x+3y=12
x=-1/2y+2
Step-by-step explanation:
step 1: add -3y to both sides
6x+3y+-3y=12+-3y
6x=-3y+12
step 2: divide both sides by 6
6x/6=-3y+12/6
Answer:
y = 6 and x = -1.
Step-by-step explanation:
It's normally useful for me to rewrite the equation so they match. I'm using the substitution method.
First find out what "y" equals (I'm using the second equation):
Add 8 to both sides:
y - 8 = 2x
+8 +8
y = 2x + 8
Plug this into the previous equation.
6x + 3(2x + 8) = 12
Distribute first:
3(2x + 8)
3 * 2x = 6x
3 * 8 = 24
6x + 24
Rewrite the equation:
6x + 6x + 24 = 12
Find liked terms.
6x + 6x + 24 = 12
They are liked terms so combined them: 6x + 6x = 12x.
Rewrite the equation again:
12x + 24 = 12
Solve for "x".
Subtract 24 on both sides.
12x + 24 = 12
-24 -24
12x = -12
Divide 12 to get x by itself.
12x = -12
12
x = -1
Plug x into the second equation to find y.
y - 8 = 2(-1)
y - 8 = -2
Add 8 to both sides.
y - 8 = -2
+8 +8
y = 6
The answers are y = 6 and x = -1.
LOOK AT THE IMAGE PLEASE⚠️⚠️
Answers
Anything with an exponent is not linear, it is exponential.
Hope this helps!
The boxes that shoes come in are often used in other capacities once the shopper has bought the shoes. Sometimes the boxes are used to hold other items, so it is helpful to know the volume of the box.
Answers
Answer:
Step-by-step explanation:
used to hold other items, so it is helpful to know the volume of the box helpful to know the volume of the box.
The volume of the box is V = l × w × h, where l, w, and h are the length, width, and height of the cuboidal box.
What is a cuboid?A closed three-dimensional geometric shape called a cuboid is surrounded by six rectangular plane sections.
Given a shoe box.
The shape of a shoe box is a cuboid.
Let the length, width, and height of the cuboid be l,w, and h, then the volume of the cuboid is:
V = l × w × h
Hence, the volume of the box is V = l × w × h, where l, w, and h are the length, width, and height of the cuboidal box.
Learn more about the cuboids:
https://brainly.com/question/29424737
#SPJ2
Becka says that when she simplifies the expression below, the value is 6 less than her age. What is Becka’s age?
(7 + 11) − 8 ÷ 2
Answers
Answer:
20
Step-by-step explanation:
heart and brainliest pls
Answer:
18
Step-by-step explanation:
you have to do parentheses first, then division. Then you can subtract because of the order of operations, PEMDAS, which is parentheses, exponents, multiplication or division, and addition or subtraction. After you do the equation you get 12. That is 6 less than Becka's age, making Becka's age 6 more than that, which is 18
can someone tell me the area and explain
Answers
Answer:
120ft^2
Step-by-step explanation:
because the formula for finding the area of a rectangle is length times width, in this case it is 15 ft for the length and 8 ft for the width, so you would multiply both of those numbers together like 15*8=120ft.
Subtract.
4/5 - 1/4 =
plz hellllllllllp
Answers
Answer:
Hello
=4/5-1/4
Taking LCM,
LCM=20
=4*4/5*4 - 1*5/4*5
=16/20-5/20
=11/20
Answer:
11/20
Step-by-step explanation:
what up................................................
Answers
Answer:
nothing wbuuuu
Step-by-step explanation:
Answer:
Hey
Step-by-step explanation:
How are you doing???
Pls help me with this problem
Answers
Answer:
SAS
Step-by-step explanation:
200 as a product of primes using index notation
Answers
Answer:
2x2x2x5x5
Step-by-step explanation:
Order the temperatures from greatest to least
90°F
-25°F
-45°F
60°F
5°F
10°F
Answers
Answer:
90, 60, 10, 5, -25, -45
Step-by-step explanation:
Answer: -45 F, -25 F, 5 F, 10 F, 60 F, 90 F
Step-by-step explanation:
Which of these fractions is a recurring decimal?
A - 10/16
B - 39/130
C - 28/35
D - 15/17
E - 13/52
Answers
Explanation: it is the only answer that keeps continuing on forever when divided
Zoe filed for bankruptcy several years ago and now wants to take out a loan for $15,200. since zoe has a past bankruptcy, she will end up paying a higher interest rate. the loan term is four years, and her payments are $819.20 per month. with a better credit rating, her payments could have been $440.82 per month. how much more in interest will zoe end up paying for her loan because of her bankruptcy? a. $4,540.56 b. $15,135.20 c. $23,346.24 d. $18,162.24
Answers
Answer:
18,162.24 / D
Step-by-step explanation:
12 months per year times 4 years is 48 months
819.20 x 48 = 39,321.60 which is what she is paying
440.82 x 42 = 21,159.36 which is what she could be paying
so do 39321.60 - 21159.36 to get 18,162.24 or answer D.
Answer:
C
Step-by-step explanation:
Edunuity