Seventy-six people were asked what their favorite meal of the day is. Twenty-eight said lunch was their favorite meal of the day. Thirty-three said dinner was their favorite meal of the day. Eighteen women said their favorite meal of the day was lunch. Nineteen men said their favorite meal of the day was dinner. Thirty-six of the people who were asked are women. please make a table with each paet labeled
Answers
The table of contents for the equations is solved
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The total number of people = 76
The number of people who opted for lunch = 28
The number of people who opted for dinner = 33
The number of males who opted for dinner = 19
The number of females who opted for lunch = 18
The total number of females = 36
Now , the table is created from the following equations
+-----------+-------+---------+-------+
| | Males | Females | Total |
+-----------+-------+---------+-------+
| Breakfast | 11 | 4 | 15 |
+-----------+-------+---------+-------+
| Lunch | 10 | 18 | 28 |
+-----------+-------+---------+-------+
| Dinner | 19 | 14 | 33 |
+-----------+-------+---------+-------+
| Total | 40 | 36 | 76 |
+-----------+-------+---------+-------+
Hence , the equations is solved
To learn more about equations click :
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Related Questions
HELP ME PLEASE 20 POINTS TO WHOEVER ANSWERS!
Answers
Perimeter = (4x + 2) + (5x - 4) + (7x + 7)
Perimeter = 4x + 2 + 5x - 4 + 7x + 7
Perimeter = 16x + 5
Smaller Triangle:
Perimeter = (x + 3) + (2x - 5) + (x + 7)
Perimeter = x + 3 + 2x - 5 + x + 7
Perimeter = 4x + 5
Diffference = 16x + 5 - (4x + 5)
Difference = 16x + 5 - 4x - 5
Difference = 12x
Answer:
(a) Bigger Triangle = 16x + 5 ; Smaller Triangle = 4x + 5
(b) Difference = 12 x
a. 16x + 5. To do this problem you combine all of the like terms, and that is your equation.
Pink triangle-
a. 4x + 5 You do the same steps you did before, combine like terms.
b. 12x "The difference" means subtraction. So you subtract the like terme
s of both the problems and get 12x.
Hope this helps!!
Georgie's toy car collection consists of modern and classic cars. He has four times as many classic cars as he cars. If he has 320 total cars in his collection, how many modern cars does he have?
Answers
320 = x + c
x = 4c
In this case, it'll be easiest to use the substitution method to solve the system of equations.
320 = (4c) + c
320 = 5c
Now solve for "c":
320/5 = c
c = 64
Since you now know there are 64 regular cars, you can subtract that from the total amount for the number of classic cars.
320 - 64 = 256
There are 256 classic cars.
To check the answer, multiply 64 by 4 and make sure it equals 256.
64 x 4 = 256
Which statements about prisms are always true if the top base is directly above the bottom base?
-The bases are congruent
-The bases can be any shape
-The lateral faces are congruent
-The lateral faces are rectangles
Answers
If the area of a square is 64 square centimeters, whats the length of one side?
A. 8cm
B. 32cm
C. 16cm
D. 4cm
Answers
A farmer applied different types of fertilizer to two different sections of his watermelon field. At the end of the growing season, the farmer randomly weighed 20 watermelons from each section. The table shows the mean and the mean absolute deviation (MAD) of the weights for each fertilizer.
Fertilizer Mean (lb) MAD
1 24 3
2 22 2
Calculate the means-to-MAD ratio. Can the farmer conclude that Fertilizer 1 generally produces heavier watermelons?
Select from the drop-down menus to correctly answer the question.
The farmer (can, cannot) conclude that Fertilizer 1 generally produces heavier watermelons because the distributions of weights for the two fertilizers are (identical, somewhat similar, similar, different).
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the MAD is how spread out the weights are from the mean, the higher the number the more spread out, which means you could have more lower weights than higher weights, of more heavy than light
so fertilizer 1 had a higher average weight ( 24 is greater than 22)
and the difference in MAD is only 1 ( 3-2)
so the farmer CAN conclude , because the distribution is SOMEWHAT SIMILAR
Mark borrowed $5500 at 11.5% for five years how much did Mark pay in interest
Answers
Final answer:
Mark paid $3162.50 in interest on a $5500 loan at 11.5% over five years using the simple interest formula Interest = Principal × rate × time.
Explanation:
To calculate the total amount of interest Mark paid on a $5500 loan at 11.5% for five years, we can use the formula for simple interest, which is:
Interest = Principal × rate × time
In Mark's case, the principal is $5500, the rate is 11.5% or 0.115 when converted to a decimal, and the time is 5 years. Plugging these values into the formula yields:
Interest = $5500 × 0.115 × 5 = $3162.50
So Mark will have paid $3162.50 in interest over the five years of the loan.
How do you find the missing length and area of a pyramid only having the volume and height? For example my volume is 225 and my height is 3. What is my area and length? Please explain :)
Answers
V=1/3×(base area)×height
suppose the base of the pyramid is square:
volume=225 cubic units'
height=3 units
thus plugging in our values in the formula
225=1/3×(base area)×3
thus
base area=225
hence we conclude that if the base is square then the dimensions will be:
L=√225=15 units
thus the answer is 15 units by 15 units base
PLEASE HELP!!!!!!!!!!!
The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you are able to make with the ten letters you are given. The game leader currently has 17,950 points. Sal wants to break the record and needs 18,000 points or more to do so.
Write an inequality to determine how many seven-letter words, w, Sal will need to make to break the record.
Identify which graph represents the solution set to this inequality.
Answers
Points Sal needs to make : at least 18000 or more.
Construct Equation:
100 + 50x ≥ 18000
Take away 100 from both sides:
50 x≥ 17900
Divide both sides by 50:
x ≥ 17900 ÷ 50
Answer:
x ≥ 358
Answer : C x ≥ 358
Please do not answer unless you are correct..I will award double points
Answers
Vector u can be expressed (-5,-3) as its ends on this points and starts from origin. The dot product of vector u with vector given in option A results in zero.
(-5, -3) · (1/5, -1/3)
= -5(1/5) + (-3)(-1/3)
= - 1 + 1
= 0
Hence first option is the correct answer
ve. Cesar bought 2 bott many quarts of juice did he buy? bought 2 bottles of juice that each hold 2 quarts other bottle that holds 1z gallons of juice.How many quarts of juice did he buy
Answers
One gallon = 4 quarts
Have a great day.
Cesar purchased a total of 10 quarts of juice after converting [tex]1\frac{1}{2}[/tex] gallons to quarts and adding it to the quarts from the two bottles.
Cesar bought 2 bottles of juice that each hold 2 quarts and another bottle that holds [tex]1\frac{1}{2}[/tex] gallons of juice. To find out how many quarts of juice he bought in total, we need to convert gallons to quarts.
We know that there are 4 quarts in 1 gallon, so [tex]1\frac{1}{2}[/tex] gallons equal 6 quarts ( [tex]1\frac{1}{2}[/tex] × 4 quarts/gallon).
Adding the quarts from the two bottles, we have 2 × 2 quarts which equal 4 quarts. Now, add the quarts from the single bottle to the total:
4 quarts (from two bottles) + 6 quarts (from [tex]1\frac{1}{2}[/tex] gallon bottle) = 10 quarts
So, Cesar bought a total of 10 quarts of juice.
8. Find the measure of the third angle of a triangle given that the first two angles are 44o and 72 o. Show your work.
Answers
44+72=116
180-116=64
3rd angle=64
64+44+72=180
44+72=116
180-116=64
3rd angle=64
64+44+72=180Marti rolls two dice what is the probability that the sum of the dice is 7 given that the first die is 2
Answers
A - the sum of two dice is 7
B - the first die is 2
[tex] P(A|B)=\dfrac{P(A \cap B)}{P(B)}\\\\
|\Omega|=6^2=36\\
|A\cap B|=1\\
|B|=1\cdot6=6\\\\
P(A\cap B)=\dfrac{1}{36}\\
P(B)=\dfrac{6}{36}=\dfrac{1}{6}\\\\
P(A|B)=\dfrac{\dfrac{1}{36}}{\dfrac{1}{6}}=\dfrac{1}{36}\cdot6=\dfrac{1}{6} [/tex]
a pillow is in the shape of a regular pentagon. The front of the pillow is made form 5 pieces of fabric that are congruent triangles. Each triangle has an area of 22in squared. What is the area of the front of the pillow?
PLEEAASSEEEEE HHHHHEEEEELLLLLLLPPPPPPPPP !!!!!!!!!!!!!!!!!!!!!!
Answers
5 triangles = 22 x 5 = 110 in²
Answer: Area of the pillow = 110 in²
What is the correct meaning of the word particular?
Millie looked through all of the markers until she found the particular shade to color the flowers
A) extremely rare
B) separate and distinct
C) easily seen or noticed
D) commonly occurring
Answers
Answer:
Step-by-step explanation:
The answer is B
what is the difference between the greatest green bean weight and the least green bean weight
Answers
CAN SOMEONE HELP! please - Give brainliest to best
PLEASEEEEE
Answers
Answer: 7/36
This is in fraction form
The decimal version of this number is roughly 0.1944
-----------------------------------
To get this answer, we multiply the fractions 7/9 and 2/8
The fraction 7/9 is the probability of selecting purple on the first draw. There are 7 purple out of 9 total (2+7 = 9)
The fraction 2/8 is the probability of selecting white on the second draw. This is assuming we don't put the first selection back in the bag. There are 2 white out of 8 marbles over
Multiply the fractions to get:
(7/9)*(2/8) = (7/9)*(1/4) = (7*1)/(9*4) = 7/36
============================================================
Part B
Answer in fraction form: 1/36
Answer in decimal form: 0.0278 (which is approximate)
------------------
We have 2 white out of 9 total. So the probability of getting white the first time is 2/9
After we select and don't put that first selection back, we have 1 white out of 8 left over. The probability of getting white a second time is 1/8
Multiply the fractions:
(2/9)*(1/8) = (2*1)/(9*8) = 2/72 = 1/36
============================================================
Part C
Answer: There is a greater chance to get two purple in a row
------------------
Without doing any math, you can tell that purple is more likely simply because there are more purple than white. We have 7 purple and 2 white. For any given single selection, we have a greater chance of picking purple over white.
If you want do to the math, then the probability of selecting two white marbles in a row is 1/36 = 0.0278 which was found in part B above.
The probability of selecting two purple is (7/9)*(6/8) = (7/9)*(3/4) = (7*3)/(9*4) = 21/36 = 7/12 = 0.5833
In summary,
the probability of selecting two white marbles in a row is 0.0278
the probability of selecting two purple marbles in a row is 0.5833
we see that the probability for the two purple marbles is much greater
Answer:
Step-by-stPart A
Answer: 7/36
This is in fraction form
The decimal version of this number is roughly 0.1944
-----------------------------------
To get this answer, we multiply the fractions 7/9 and 2/8
The fraction 7/9 is the probability of selecting purple on the first draw. There are 7 purple out of 9 total (2+7 = 9)
The fraction 2/8 is the probability of selecting white on the second draw. This is assuming we don't put the first selection back in the bag. There are 2 white out of 8 marbles over
Multiply the fractions to get:
(7/9)*(2/8) = (7/9)*(1/4) = (7*1)/(9*4) = 7/36
============================================================
Part B
Answer in fraction form: 1/36
Answer in decimal form: 0.0278 (which is approximate)
------------------
We have 2 white out of 9 total. So the probability of getting white the first time is 2/9
After we select and don't put that first selection back, we have 1 white out of 8 left over. The probability of getting white a second time is 1/8
Multiply the fractions:
(2/9)*(1/8) = (2*1)/(9*8) = 2/72 = 1/36
============================================================
Part C
Answer: There is a greater chance to get two purple in a row
Without doing any math, you can tell that purple is more likely simply because there are more purple than white. We have 7 purple and 2 white. For any given single selection, we have a greater chance of picking purple over white.
If you want do to the math, then the probability of selecting two white marbles in a row is 1/36 = 0.0278 which was found in part B above.
The probability of selecting two purple is (7/9)*(6/8) = (7/9)*(3/4) = (7*3)/(9*4) = 21/36 = 7/12 = 0.5833
In summary,
the probability of selecting two white marbles in a row is 0.0278
the probability of selecting two purple marbles in a row is 0.5833
we see that the probability for the two purple marbles is much greater
what is a rational number?
Answers
Example: 2/5 , -6,
Because you can write any integer as a quotient with a denominator of 1, all integers are rational numbers,
Example: 5 = 5/1
~Aamira~
Hope this helped☺☺
Which of the following equations represents a line that is parallel to y=5x-4 and passes through the point, (3,4)?
Answers
Slope of parallel lines is the same, so slope of the line parallel to the given line will be m = 5
We have the slope and a point, using the point-slope form we can write the equation of the line:
y - 4 =5 (x - 3)
y = 5x - 15 + 4
y = 5x - 11
So, the above equation is the desired answer.
Comparing given equation with y=mx+c we get m=5
Parallel lines have equal slopes.
Therefore, slope of required line = m = 5
This required line passes through points (3,4)(x₁,y₁)
Therefore, by slope-point form,
y-y₁=m(x-x₁)
y-4=5(x-3)
y-4=5x-15
y=5x-11
This the equation of required line
What decimal part of 440 is 220? Please, show work!
Answers
Jackson flipped a coin ten times. He flipped heads 4 times and tails 6 times. What is the experimental probability that Jackson will flip heads on his next flip?
Answers
Answer:
1.5 i think
Step-by-step explanation:
6/4=1.5
SOMEONE PLEASE HELP ME!!!!! I NEED HELP ON CASE #3
Answers
I feel like I've answered this already, but I could be wrong. Since it took 10 years for the price to increase by 11 cents, it would take around 7-8 years for it to raise by .8. (.52- .44)
Hope this helps!
Write an equation in slope-intercept form of the line that passes through (-1,-3) and is parallel to the graph of y=4.
Answers
(-1, -3); m = 4
Plug these numbers in.
y - (-3) = 4(x - -1)
y + 3 = 4x + 4
y = 4x + 1
Answer:
The line parallel to this one and through the given point would be y = -3.
Step-by-step explanation:
In order to find a parallel line, we first have to accept that this is a horizontal line. This is because there is no x value in the equation. That means in order to make it horizontal as well, we need it to have no x value again.
Given the ordered pair, this means our new equation is y = -3
Find the circumference of the circle. Round to the nearest tenth.
A.) 148.4 m
B.) 84.8 m
C.) 196.6 m
D.) 54.0 m
Answers
HOPE I CAN HELP U
Martha's mom is making party bags for all of her party guests. She has 24 green gumballs, and 33 blue gumballs. If she wants to split them evenly between all the bags, without any leftovers, how many bags can she make??
Answers
What is the domain of this function
Answers
The domain is the numbers that makes the function real
If we put x as 4 we get an undefined answer since you can't divide by 0
From this the domain is 4 > x < 4
Hope this helps!
Answer:
Domain (-∞,4)U(4,∞)
Step-by-step explanation:
Inmagine functions as little machines that turn one number into another, the domain would the numbers that we can enter to the machine so we would have a real number on the output of it.
In this specific case we can use all the numbers but 4 because if we make [tex]x=4[/tex] we would have [tex]\frac{12}{4-4}=\frac{12}{0}[/tex] and this is an indeterminate form which won't be solution to the problem.
According to the explanation our domain would be all the numbers but 4 like this:
Domain (-∞,4)U(4,∞)
The equation of a circle is (x+7)to the second power+(y−13)to the second power=196 .
What is the center of the circle?
Enter your answer in the boxes.
Answers
The equation given to us is
(x+7)^2 + (y-13)^2 = 196
which is the same as
(x-(-7))^2 + (y-13)^2 = 14^2
and that equation is in the form
(x-h)^2 + (y-k)^2 = r^2
We can see that
h = -7
k = 13
r = 14
This means (h,k) = (-7,13)
The center is (-7,13)
Answer:
(-7,13)
Step-by-step explanation:
The equation of a circle is (x+7)to the second power+(y−13)to the second power=196
(x+7)^2 +(y-13)^2 = 196
To find the center of the circle we use the center radius form of the circle
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
where (h,k) is the verted and r is the radius of the circle
now we compare with the given equation
h= -7 and k =13
So center of the circle is (-7,13)
A cable is 50 meters long. How long is the cable in decimeters?
Answers
Knowing that, 50*10=500
So, 50meters=500decimeters.
I hoped this helped!
A photo of a painting measures
13 inches by 17 inches. The scale factor
is 1
3 . What size is the painting?
Answers
The size of the painting is [tex]\( \frac{13}{3} \) inches by \( \frac{17}{3} \)[/tex] inches.
If the photo of the painting has dimensions of 13 inches by 17 inches and the scale factor is 1/3 it means that the dimensions of the painting itself are 1/3 times the dimensions of the photo.
To find the size of the painting, we need to multiply the dimensions of the photo by the scale factor.
For the length:
[tex]\[ \text{Length of painting} = 13 \times \frac{1}{3} = \frac{13}{3} \][/tex]
For the width:
[tex]\[ \text{Width of painting} = 17 \times \frac{1}{3} = \frac{17}{3} \][/tex]
which three dimensional figure is modeled by the net below?
Answers
5 − (x + 5) > −2(x + 4)
Answers
step by step work
Let's solve your inequality step-by-step.5−(x+5)>−2(x+4)
Step 1: Simplify both sides of the inequality.−x>−2x−8
Step 2: Add 2x to both sides.−x+2x>−2x−8+2x