Answer:
A)Unit prize is $0.162
B)Unit prize is $0.183
Step-by-step explanation:
A) 13.5-ounce bottle cost 2.19
Cost of 13.5 ounce bottle =2.19
Cost of 1 ounce bottle =[tex]\frac{2.19}{13.5}=0.162[/tex]
So, Unit prize is $0.162
B)29.2-ounce bottle costs 5.37
Cost of 29.2 ounce bottle = 5.37
Cost of 1 ounce bottle =[tex]\frac{5.37}{29.2}=0.183[/tex]
So, Unit prize is $0.183
find a word that has a value of 18
Answer:
Overcapitalization
Step-by-step explanation:
Lenny can choose between apple juice, orange juice, and fruit punch. She can order a small, medium, and large. If she chooses a drink at random, what is the probability she chooses a medium orange juice?
Answer:
1/9 chance
Step-by-step explanation:
3 options and 3 choices probability of picking orange juice is 1/3 chance and probability of pickinkg a medium is 1/3 chance so you multiply dem to get 1/9
write each ratio 3 ways
the camron family drove 65 miles in 1 hour
Answer:
1) 65:1
2) 65 to 1
3) 65
1 ( this is a fraction)
What is 7 to the second power in standard form
Answer:
49
Step-by-step explanation:
if you multiply 7 by itself it would equal 49
The expression 7 by the power of 2 when evaluated in standard form has a value of 49
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
7 to the power of 2
Express as an equation
So, we have
7 to the power of 2 = 7²
When expanded, we have
7 to the power of 2 = 7 * 7
Evaluate the products
This gives
7 to the power of 2 = 49
Hence, the solution is 49
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Find −1/5+17/10. Please help me!
Please help me with this math problem. Find the equation for the line below.
Answer:
y+2=3/4(x+5)
Step-by-step explanation:
The first step is to find the slope of the line. Between the two points, the line rises from a y value of -2 to a y value of 4, or a total rise of 6 units. It also goes to the right from an x value of -5 to an x value of 3, which is a total of 8 units. 6 units of rise over 8 units of run is a total slope of 6/8=3/4. Now, you can use the point slope form for either one of the points (I'll use the leftmost one).
y+2=3/4(x+5)
Hope this helps!
One answer in point slope form: y + 2 = (3/4)(x + 5)
Answer in slope intercept form: y = (3/4)x + 7/4
Answer in standard form: 3x-4y = -7
===============================================
Explanation:
First we need the slope of the line
Find the slope of the line through (x1,y1) = (-5,-2) and (x2,y2) = (3,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - (-2))/(3 - (-5))
m = (4 + 2)/(3 + 5)
m = 6/8
m = 3/4
-------
Plug m = 3/4 and (x1,y1) = (-5,-2) into the point slope formula. Solve for y.
y - y1 = m(x - x1)
y - (-2) = (3/4)(x - (-5))
y + 2 = (3/4)(x + 5)
y + 2 = (3/4)x + (3/4)*5 ... distribute
y + 2 = (3/4)*x + 15/4
y + 2 - 2 = (3/4)*x + 15/4 - 2 ... subtract 2 from both sides
y = (3/4)x + 15/4 - 8/4
y = (3/4)x + (15-8)/4
y = (3/4)x + 7/4
This equation is in slope intercept form y = mx+b
m = 3/4 is the slope, b = 7/4 is the y intercept
-------
Multiply both sides by 4 to help convert to standard form
y = (3/4)x + 7/4
4y = 3x+7
-7 = 3x-4y
3x-4y = -7
This is in the form Ax+By = C
A = 3, B = -4, C = -7
Determine the possible survey questions that could be used to collect data on a population that consists of elementary school students. Check all that apply. What is the average number of days per week that you color with markers? What is the average salary of an accountant? What is the average number of days that it rained last year? What is your favorite type of pet? What is the maximum height of a tree in the Redwood Forest?
Answer: As to confirm, a and d are right. I got it on edge
For survey questions specifically for elementary school students, the questions 'What is the average number of days per week that you color with markers?' and 'What is your favorite type of pet?' would be suitable.
Explanation:In relation to the population of elementary school students, there are certain survey questions that would be relevant and gather pertinent data. Among the options given, the questions that would be suitable are:
'What is the average number of days per week that you color with markers?'
'What is your favorite type of pet?'
These two questions relate directly to the activities and preferences typical of elementary school students, thus can provide relevant data if one is conducting a survey with this specific population. The other questions about accountant salary, raining days, and redwood tree height, do not directly relate to this population and thus are not viable options for this survey.
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Find the value of in the triangle shown below.
Answer:
x= 6
Step-by-step explanation:
We can use the Pythagorean theorem to find x
x^2 + 2.5^2 = 6.5 ^2
x^2+ 6.25 =42.25
Subtract 6.25 from each side
x^2+ 6.25-6.25 =42.25-6.25
x^2 =36
Take the square root of each side
x = sqrt(36)
x= 6
Answer:
x=6
Step-by-step explanation:
This is a right triangle, because of the little square in the corner. Therefore, we can use the Pythagorean Theorem.
a^2+b^2=c^2
Where a and b are the legs and c is the hypotenuse.
In this triangle, we know that 2.5 and x are the legs, because they form the right angle. We know that 6.5 is the hypotenuse, because it is opposite the right angle.
Therefore, 2.5 and x are a and b, and 6.5 is c.
2.5^2+x^2=6.5^2
Evaluate the exponents
6.25+x^2=42.25
Since we are trying to find x, we have to get x by itself. First, subtract 6.25 from both sides
6.25-6.25+x^2=42.25-6.25
x^2=36
Next, take the square root of both sides, because x is being squared.
[tex]\sqrt{x^2}=\sqrt{36[/tex]
x=6
Evaluate each expression.
6! =
3! • 2! =
6!/3! =
Answer:
6! = 6*5*4*3*2*1 = 30*12*2 = 30*24 = 720
3! * 2! = 3*2*1 * 2*1 = 6*2 = 12
6! / 3! = 720 / 12 = 60
Step-by-step explanation:
6! = 6*5*4*3*2*1 = 30*12*2 = 30*24 = 720
3! * 2! = 3*2*1 * 2*1 = 6*2 = 12
6! / 3! = 720 / 12 = 60
The value of the expression will be 6! = 720, 3! • 2! = 12, and 6! / 3! = 120.
What is the factorial of n?The factor of n is given as the production of the number n, (n - 1), (n - 2), ..., and 1. Then the factorial of n is given as
n! = n x (n - 1) x (n - 2) x ... 3 x 2 x 1
The expressions are
6! = 6 x 5 x 4 x 3 x 2 x 1
6! = 720
3! • 2! = 3 x 2 x 1 x 2 x 1
3! • 2! = 6 x 2
3! • 2! = 12
6! / 3! = 720 / 6
6! / 3! = 120
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What is the common denominator of StartFraction 1 Over a EndFraction + StartFraction 1 Over b EndFraction in the complex fraction StartFraction 1 Over a EndFraction minus StartFraction 1 Over b EndFraction divided by StartFraction 1 Over a EndFraction + 1 Over b EndFraction?
a2 b2
a – b
a + b
ab
Answer:
ab
Step-by-step explanation:
Answer:
Option D : ab
Step-by-step explanation:
correct on e2020
A recipe requires ¾ cup of nuts for 1 batch of muffins. Write the number of batches of muffins that can be made using 7 ½ cups of nuts.
Answer:
10 batches
Step-by-step explanation:
3/4 cups = 1 muffins
15/2 cups = x muffins
For x muffins,
3/4 × X = 15/2 × 1
3x × 2 = 15×4
6x = 60
Divide both sides by 6
6x/6 = 60/6
X = 10
Hence 10 batches of muffins will be made from 15/2 cups of nuts.
4. A class has 12 boys and 15 girls. The teacher randomly picks one child to lead
the class in singing.
What is the probability that the teacher picks a boy?
Answer:4/9
Step-by-step explanation:
12/27 simplified is 4/9
(12 is for the boys 27 is the number of students)
Marta's dog just had six puppies. Four are female (F), and two are male (M). One of the males is brown. Two of the females are brown. All puppies are either brown or white. If Marta randomly gives away puppies to her friends, what is the probability of a friend getting a puppy that is male, brown, or both?
Answer:
Step-by-step explanation:
No of total brown = 2 + 1 = 3 .
probability = 3 / 6
= 1 /2 .
no of males = 2
probability
= 2 / 6
= 1 /3
no of person who is both male and brown = 1
probability = 1 /6
Required probability
= probability of being brown + probability of being male - probability of being both
= 1 / 2 + 1 / 3 - 1 /6
= 4 / 6
= 2 / 3 .
Final answer:
The probability of a friend getting a puppy that is male, brown, or both is 2/3, which is calculated by adding the probability of getting a male puppy and a brown puppy, then subtracting the probability of the overlap (brown male).
Explanation:
The student's question concerns the probability of a friend receiving a puppy that is male, brown, or both, given the conditions of the puppies provided. To calculate this probability, we consider all possible favorable outcomes divided by the total number of outcomes. There are 2 males (1 brown, 1 white) and 4 females (2 brown, 4 total), making a total of 6 puppies. A friend can receive either a male puppy (2 out of 6) or a brown puppy (3 out of 6, since we do not count the brown male twice). Thus, the probabilities need to be added together and the intersection (the brown male counted in both categories) subtracted to avoid overcounting.
We calculate the probability as P(Male) + P(Brown) - P(Brown and Male) = 2/6 + 3/6 - 1/6 = 4/6 or 2/3. Therefore, the probability of a friend getting a puppy that is male, brown, or both is 2/3.
You want to buy 4 movie tickets for $9 each, and one bag of popcorn for $7. Use the drop-down menus to complete the equation to show a way to calculate the total cost, t.
Answer:
t = 4 x 9 + 7
Step-by-step explanation:
My teacher says b is wrong
what is the quotient of 5 to the negative 6th power over 5 to the 3rd power
Answer:1 over 5 to the 9th power (1 over 1953125).
Step-by-step explanation:
5^-6/5^3 hard to show fractions and exponents, but since 5^-6 is a negative exponent you must flip in, or put it on the bottom. So now you have 1 over 5 to the 9th power(1/5^9), or more simplified 1 over 1953125(1/1953125).
Answer:
1/5 to the 9 power
Step-by-step explanation:
A snack stand sold hot dogs and chips at a recent game. The hot dogs cost $2.50 and the snacks cost $0.75. After the game, they tallied 175 transactions totaling $262.50.
Represent the linear system in an augmented matrix:
ANSWER IS
[ 1 ] [ 1 ] [ 75 ]
[ 2.5 ] [ 0.75 ] [ 262.5 ]
Answer:
[1] [1] [175]
[2.5] [0.75] [262.5]
# of hotdogs sold was 75
# of chips sold was 100
Step-by-step explanation:
got it right on edge ya digg
The number of hot dogs is 75 while the number of snacks is 100.
The linear equation to solve the question will be:
h + s = 175 ........ i
2.50h + 0.75s = 262.50 ........ ii
From equation i, s = 175 - h ..... iii
Put equation iii into ii
2.50h + 0.75s = 262.50
2.50h + 0.75(175 - h) = 262.50
2.50h + 131.25 - 0.75h = 262.50
Collect like terms
2.50h - 0.75h = 262.50 - 131.25
1.75h = 131.25
h = 131.25/1.75
h = 75
The number of hot dogs is 75 while the number of snacks is 100.
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The wages w (in £) Gordon earns is the number of hours he works n multiplied by his hourly rate r (in £ per hour). Enter a formula for Gordon's wages and enter the wage he would earn if he worked 5 hours at a rate of £10.40 per hou
Answer:
1. w = nr
2. His wage is £52.00
Step-by-step explanation:
1. Given that wages is a function of number of hours worked multiplied by hourly rate
Where n represents hours and r represents rate.
Wage formula is as follows;
Wage (w) = hours (n) * rate (r)
w = n * r
w = nr
2. If he worked 5 hours at a rate of £10.40 per hour
This means
n = 5
r = 10.40
His wage is as follows;
w = nr
w = 5 * £10.40
w = £52.00
Hence, his wage is £52.00
Final answer:
Explanation of Gordon's wages formula and a calculation example for working 5 hours at a specific rate.
Explanation:
The formula for calculating Gordon's wages, w, is given by multiplying the number of hours he works, n, by his hourly rate, r.
A formula for Gordon's wages: w = n * r
Wages earned by Gordon working 5 hours at a rate of £10.40 per hour:
Substitute n = 5 and r = £10.40 into the formula:
w = 5 * £10.40
= £52
The wage Gordon would earn if he worked 5 hours at a rate of £10.40 per hour is £52.
Need help finding the answer
Answer: x=2
Use math-way and put 3x+4/6x-2=9/9
PLEASE HELP RIGHT AWAY, NEED URGENT HELP, WILL GIVE BRAINLIEST!
Wanahton purified a portion of water with 900 grams of contaminants. Each hour, a third of the contaminants was filtered out.
Let g(n) be the amount of contaminants (in grams) that remained by the beginning of the nth hour. g is a sequence, what kind of sequence is it, arithmetic or geometric? Then, write an explicit formula for the sequence, g(n)=?
The sequence g(n) is a geometric sequence with an explicit formula of g(n) = (2/3)^n * 900 grams.
Explanation:The sequence g(n) represents the amount of contaminants (in grams) that remains at the beginning of the nth hour. Each hour, a third of the contaminants is filtered out. To determine whether g(n) is an arithmetic or geometric sequence, we need to examine the change in the amount of contaminants from one hour to the next.
Let's look at the first few terms of the sequence:
g(1) = 900 grams (initial amount)g(2) = 2/3 * g(1) = 2/3 * 900 gramsg(3) = 2/3 * g(2) = 2/3 * (2/3 * 900 grams)From the pattern, we can see that each term of g(n) is obtained by multiplying the previous term by 2/3. Therefore, g(n) is a geometric sequence.
The explicit formula for the sequence g(n) can be written as g(n) = (2/3)^n * 900 grams.
Clayton plays basketball on a team. He has played three games so far . In the first game, he scored 10 points. In the second game he scored 14 points. In the third game he scored 6 points. What is clayton 's average points per game?
Answer:
Clayton's average points per game is 10
Step-by-step explanation:
To find an average add all the numbers and divide the sum by the amount of numbers added.
In this case, 10 + 14 + 6 = 30. [tex]\frac{30}{3}[/tex] = 10
Hope this helps!
-MoCKEry
9 m
11 m
16 m
4 m
Find the area of this figure.
Answer:
Can u send picture with it pls so i can figure it out?
What are the two shapes
Step-by-step explanation:
rectangle: length times width
triangle: base times height divided by 2
parallelgram: Base times height
square: side times side
*If you get it right then follow me on roblox: Supertasticgg
and sub to Flamingo
ANd almost forgot trapezoid: base 1 + base 2 times by height then divide with 2
No dia 15/05/2020 as 18h e 40min o G1 divulgou que a Paraíba tem 3.739 casos confirmados e 170 mortes por coronavírus. Qual a porcentagem de mortos no Estado da Paraíba em relação a quantidade de casos confirmados ?
Answer:
4.55%
Step-by-step explanation:
To find the percentage of deaths in relation to the number of cases confirmed, we just need to divide the number of deaths by the number of cases confirmed.
So we have that:
Percentage = Deaths / Cases
Percentage = 170 / 3739
Percentage = 0.0455 = 4.55%
The percentage of deaths in relation to the number of cases is 4.55%
A group of 5 families at Baileys Middle School sold magazine subscriptions to raise money for the school. $6.00, $7.00, $4.00, $5.00, $3.00 What was the median amount of money raised?
Answer:
The median amount of money raised is $5.00
Step-by-step explanation:
To find the median amount of money raised, we will follow the steps below:
First, arrange the data giving in ascending order. That is
$6.00, $7.00, $4.00, $5.00, $3.00
We will arrange it in ascending order, hence
$3.00, $4.00, $5.00, $6.00, $7.00
The median is the middle number, we will now proceed to take the middle number.
The middle number is $5.00
Therefore, the median amount of money raised is $5.00
The median amount of money raised by the 5 families is $5.00.
To find the median amount of money raised by the 5 families, we first need to arrange the amounts in ascending order:
$3.00$4.00$5.00$6.00$7.00The median is the middle number in a sorted, ascending or descending, list of numbers. Since there are 5 numbers, the median is the third number in this ordered list. Therefore, the median amount of money raised is $5.00.
What are the solutions to the quadratic equation (5y+6)2=24?
Answer:
You chose the right answer
y = [ -6 + 2 root(6)]/5 or y = [-6 - 2 root(6)]/5
Step-by-step explanation:
from (5y + 6)^2 = 24
we can take the square root of both sides
(5y + 6) = + root(24) or (5y + 6) = -root(24)
5y + 6 = 2*root(6) or 5y + 6 = - 2 root(6)
y = [ -6 + 2 root(6)]/5 or y = [-6 - 2 root(6)]/5
Answer:
a
Step-by-step explanation:test on e
The area of rectangle ABDE is 270 square inches. The rectangle is rotated about a line that passes through points C and F. Rectangle A B D E has an area of 270 square inches. Point C is the midpoint of side D B and point F is the midpoint of side E A. The length of B A is 15 inches. Which best describes the resulting three-dimensional shape? a rectangular prism with an edge length of 9 inches a rectangular prism with an edge length of 18 inches a cylinder with a base radius of 9 inches a cylinder with a base radius of 18 inches
Answer:
The answer is C : a cylinder with a base radius of 9 inches
Step-by-step explanation:
The area is 270² inches, and to find the area of a rectangle is width × length . So the equation would be 270 = W × L, which would convert to 270 = W × 15 and 15 times 18 equals 270. But that is not thew answer because you would need top find the radius of the cylinder which is half of the width of the rectangle which means the radius is 9. So the answer is a cylinder with a base radius of 9 inches.
The resulting three dimensional shape is a cylinder with base radius 9 inches. Option c is correct.
A rectangle ABDE is given with area 270 inches and side AB =15 inches.
This rectangle is rotated about a line passes C and F where C and F is mid points of BD and EA respectively. The shape formed to be determine.
3D or three dimensions is define as when an object is an arbitrary space that its measure obtains on x, y and z axes.
Here,
Area of rectangle ABDE = 270
AB x BD = 270
15 x BD =270
BD = 270/15
BD = 18
Now C is mid point of BD so BC = 18/2
BC = 9
When the given rectangle rotate about CF the new 3d shape arise will be a cylinder with radius 9 inches.
Thus, the resulting three dimensional shape is a cylinder with base radius 9 inches.
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When Belinda asked him to what pages his book was opened, he replied that the product of the facing pages was 87,912. To what pages did Theo open his textbook?
Final answer:
To determine the page numbers, the product of two consecutive page numbers (n and n+1) was calculated to match 87,912, leading to the solution that Theo's textbook was opened to pages 296 and 297.
Explanation:
To find out to which pages Theo opened his textbook, when the product of the facing pages was 87,912, we should realize that facing pages in books have consecutive numbers. Therefore, if one page is n, the facing page would be n+1. The product of these two pages is n(n+1)= 87,912. We are solving a quadratic equation here.
Starting with an approximation, square roots of numbers near 87,912 can help identify potential page numbers. The square root of 87,912 is a bit less than 300 (since 300² = 90,000). Therefore, one of the page numbers will be just under 300, and the other just above.
Attempting a few calculations, we notice that 296² = 87,616 and 297² = 88,209. Between these two, 296 × 297 = 87,912, giving us the page numbers Theo's book is open to: 296 and 297.
what is 1+1 plus 2 divided by 35 added by 6 subtracted by 30
Answer:
-23.8857
Step-by-step explanation:
1+1+2= 4
4/35+6= 6.11429
6.11429-30= -23.8857
Please help with this math
Answer:
I believe it’s C
Step-by-step explanation:
let me know if right if am mark brainliest pls
The amount of aluminum varies inversely as the amount of tin. When there are 600 grams of aluminum there are 40 grams of tin. How many grams of aluminum will there be if there is 120 grams of tin
Answer:
There will be 200g of aluminium.
Step-by-step explanation:
We use a rule of three to solve this question.
However, the relationship between the variables are inverse, which means that we use an inverse rule of three. This means that we are going to multiply the values laterally, instead of diagonally(cross multiplication).
We have these following relationships:
600g aluminum - 40g tim
xg aluminium - 120g tin
Multiplying laterally:
[tex]120x = 600*40[/tex]
[tex]x = \frac{600*40}{120}[/tex]
[tex]x = 200[/tex]
There will be 200g of aluminium.
Final Answer:
When there is 120 grams of tin, there will be 200 grams of aluminum.
Explanation:
In problems involving inverse variation, the formula that describes the relationship between two variables (in this case, aluminum and tin) is as follows:
k = xy
where:
- k is the constant of variation,
- x is the amount of aluminum, and
- y is the amount of tin.
Given that there are 600 grams of aluminum when there are 40 grams of tin, we can use these values to find the constant of variation (k). We can set up the equation and solve for k with the given values.
[tex]\[ k = 600 \text{ grams of aluminum} \times 40 \text{ grams of tin} \\\\\[ k = 24000 \text{ (constant of variation)} \][/tex]
Now that we have the constant of variation, we know this constant remains the same even when the amounts of aluminum and tin change, providing the inverse relationship is maintained.
Now we want to find out how many grams of aluminum there will be when there is 120 grams of tin. We set up the inverse variation formula and solve for x now that y is given as 120 grams:
k = xy
Given that k = 24000 from our previous calculation, we find x:
[tex]\[ x = \frac{k}{y} \\\\\[ x = \frac{24000}{120} \\\\\[ x = 200 \text{ grams of aluminum} \][/tex]
Therefore, when there is 120 grams of tin, there will be 200 grams of aluminum.