Jessica added exactly ¼ cup of vanilla powder, weighing 32 grams, to her recipe. This is the perfect amount as stated by the cake recipe.
Explanation:Jessica is tasked with following a cake recipe that requires 32 grams of vanilla powder. She knows that 1 cup of vanilla powder weighs 128 grams. Since she added only ¼ cup of vanilla powder, we need to calculate if this amount is equivalent to the required 32 grams.
First, let's determine how many grams are in ¼ cup of vanilla powder:
Since 1 cup is 128 grams, ¼ of that amount is:Therefore, Jessica has added the perfect amount of vanilla powder to her recipe.
Two ships leave port at 10 A.M. One travels at a bearing of 50° at 25 mph, and the other travels at a bearing of 120° at 20 mph. How far apart are the ships at noon? Round your answer to the nearest tenth.
Simplify the rational expression . x^2+9x+20/x+7The quotient is , and the remainder is .
Final answer:
The rational expression x^2+9x+20/x+7 simplifies to (x+5) with a remainder of (x+4)/(x+7) after factoring the numerator.
Explanation:
To simplify the rational expression x^2+9x+20/x+7, you would factor the numerator and then divide the factors by the denominator if possible.
The factoring of x^2+9x+20 would yield (x+5)(x+4), as these are the factors of 20 that add to 9. Now the expression becomes:
((x+5)(x+4))/(x+7)
Since x+7 doesn't factor with either x+5 or x+4, the expression is already in its simplest form. So the quotient is x+5 with a remainder of (x+4)/(x+7).
Remember to check your answer to ensure it is reasonable.
A 155 pound person burns about 500 calories per hour playing racquetball. one pound id equal to 3500.
Q- If the person were to rest 5 minutes for every 30 minutes of playing, how long would it take to burn 1 pound?
Answer:
[tex]8\frac{1}{6}[/tex] hours or 8 hours and 10 minutes.
Step-by-step explanation:
We have been given that a 155 pound person burns about 500 calories per hour playing racquetball. One pound is equal to 3500 calories.
Since the person burns 500 calories per hour, so time taken to burn 3500 calories would be:
[tex]\frac{3500\text{ cal}}{\frac{\text{500 cal}}{\text{Hour}}}[/tex]
[tex]\frac{3500\text{ cal}}{500}\times\frac{\text{Hour}}{\text{Cal}}=7\text{ Hour}[/tex]
Now, we will convert 7 hours to minutes.
1 hour equals 60 minutes.
7 hours = 7*60 minutes =420 minutes.
Since the person take a rest of 5 minutes for every 30 minutes of playing, so we will divide 420 by 30 to find the number of times the person rested to burn 3500 calories.
[tex]\frac{420}{30}=14[/tex]
Now, we will multiply 14 by 5 minutes to find minutes the person rested.
[tex]14\times 5\text{ minutes}=70\text{ minutes}[/tex]
Total number of minutes to burn 3500 calories: [tex]420\text{ minutes}+70\text{ minutes}=490\text{ minutes}[/tex]
[tex]\frac{490}{60}=\frac{49}{6}=8\frac{1}{6}[/tex]
Therefore, it will take 8 hours and 10 minutes to burn 1 pound.
Find the value of x
a suitcase measures 24 inches long and the diagonal is 30 inches long how much material is needed to cover one side of the suitcase
The material i.e. needed should be 18.
Given that,
a suitcase measures 24 inches long and the diagonal is 30 inchesBased on the above information, the calculation is as follows:
[tex]a^2+b^2=c^2 \\\\ 24^2+b^2=30^2\\\\ 576+b^2=900 \\\\ b^2=324 [/tex]
18=b
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Using distributive law find the square of 101 and 72
To find the square of 101, we can use the distributive law as follows: 101^2 = (100 + 1)^2 = 10000 + 200 + 1 = 10201. Similarly, to find the square of 72: 72^2 = (70 + 2)^2 = 4900 + 280 + 4 = 5184.
Explanation:The use of the distributive law allows us to expand expressions by multiplying each term inside the parentheses by the term outside the parentheses. To find the square of 101, we can use the distributive law as follows:
101^2 = (100 + 1)^2 = 100^2 + 2(100)(1) + 1^2 = 10000 + 200 + 1 = 10201
Similarly, to find the square of 72:
72^2 = (70 + 2)^2 = 70^2 + 2(70)(2) + 2^2 = 4900 + 280 + 4 = 5184
chris made 4 times as many putts as paul made at golf practice. together they made 60 putts. which equation below canbe used to find the number of putts paul made?
A. 5p=60
B. 4p=60
C. 4+p=60
D. 4p=60+p
Drew purchased 3 books each with a different price for $24 the cost of each book was a multiple of 4 what could be the prices of the 3 books
Drew could have purchased 3 books at prices of $4, $8, and $12, or at prices of $8 each.
Explanation:The question states that Drew purchased 3 books, each with a different price, for a total of $24. The cost of each book is a multiple of 4. To find the possible prices of the 3 books, we need to find 3 multiples of 4 that add up to $24.
Let's start by listing the multiples of 4: 4, 8, 12, 16, 20, 24,...
We can see that the possible prices of the 3 books could be $4, $8, and $12. Another possibility is $8, $8, and $8. There may be other combinations as well, but these are the two most likely options.
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Math please help ( ASAP vv easy )
a. the answer is the first one
an equilateral triangle has height 26 cm what is the length of each side of the triangle to the nearest centimeter
The length of each side of the equilateral triangle is approximately 52 cm.
Explanation:An equilateral triangle has all sides equal in length. To find the length of each side, we can use the property that an equilateral triangle's height is equal to half the length of one of its sides.
Since the height is given as 26 cm, we can set up the equation:
26 cm = (side length)/2
Multiplying both sides by 2, we get:
52 cm = side length
Therefore, the length of each side of the equilateral triangle is approximately 52 cm.
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graph x+3<1/2(4x-12)<20
Emily used the number sentence 736.82 + 146.89 = to solve this story problem. A small bin held 146.89 pounds of almonds. A large bin held 736.82 pounds of peanuts. What is the total weight of the nuts in the two bins? Which story problem could also be solved by using the number sentence 736.82 + 146.89 = ? A. Ian weighs 146.89 pounds. The elevator's limit is 736.82 pounds. How many more pounds can be put on the elevator? B. A large fish tank had 736.82 liters of water. A worker removed 146.89 liters of water to make room for the pebbles and sculptures. How much water is left in the tank? C. A northern train route has 736.82 miles of track. A southern route has 146.89 miles of track. How many more miles of track does the northern route have than the southern route? D. Harold earned $146.89 delivering flyers. Sheila earned $736.82 mowing lawns. How much money did they earn altogether?
#16, can someone please explain it ASAP?
What are the similarities and differences between these data sets in terms of their centers and their variability?
Data Set A: 1, 2, 4, 1, 9
Data Set B: 2, 7, 8, 12, 1
Select from the drop-down menus to correctly complete the statements.
Comparing the centers of the data sets, the median for Data Set A is the median for Data Set B. Further, based on the range, Data Set is more variable
Answer:
The answer is less than and B
Step-by-step explanation:
took the test
A warden meets with 23 prisoners. He tells them the following:
Each prisoner will be placed into a room numbered 1-23. Each will be alone in the room, which will be soundproof, lightproof, etc. In other words, they will NOT be able to communicate with each other.
They will be allowed one planning session before they are taken to their rooms.
There is a special room, room 0. In this room are 2 switches, which can each be either UP or DOWN. They cannot be left in between, they are not linked in any way (so there are 4 possible states), and they are numbered 1 and 2. Their current positions are unknown.
One at a time, a prisoner will be brought into room 0. The prisoner MUST change one and only one switch. The prisoner is then returned to his cell.
At any time t, given some N>0, there exists a finite t_0 by which time every prisoner will have visited room 0 at least N times. (In other words, there is no fixed pattern to the order or frequency with which
prisoners visit room 0, but at any given time, every prisoner is guaranteed to visit room 0 again. If you’re still confused by this statement, ignore it, and you should be ok).
At any time, any prisoner may declare that all 23 of them have been in room 0. If right, the prisoners go free. If wrong, they are all executed.
What initial strategy is 100% guaranteed to let all go free?
What is the correct meaning of the word guarantor ?
During the new deal of the 1930s the federal government acted as a guarantor of economic security
A) one who provides assurance of something
B) one who is the original source of something
C) one who gradually reduces something
D) one who rebuilds or restores something
The words and their correct definitions are:
Restoration - To return something to its original state
Method - A way of doing something
Annexation - To legally take control of another territory and add it to one's own
Protectorate - A country that is defended or protected by another country
Modernize - To begin to use the newest technology or knowledge
What do the words mean?A protectorate refers to a nation that is protected by another nation such as Bechuanaland before 1966. Modernization allows for people to use newer methods of doing things.
Methods are how people go about doing something and annexing a territory means adding it to a nation's territory like the Russians did with the Crimea.
Hence, The words and their correct definitions are:
Restoration - To return something to its original state
Method - A way of doing something
Annexation - To legally take control of another territory and add it to one's own
Protectorate - A country that is defended or protected by another country
Modernize - To begin to use the newest technology or knowledge
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complete question:
Words to know
Match each vocabulary word with the correct definition.
Restoration
A country that is defended or
protected by another country
Method
To legally take control of another
territory and add it to one's own
Annexation
OOOOO
To return something to its original
state
Protectorate
To begin to use the newest
technology or knowledge
Modernize
A way of doing something
Allie sold oatmeal cookies at a stand for two days. She made 35.20 on the first day. She used 1/4 of this money to buy more supplies for the next day. How much money did Allie use to buy more supplies for the next day
(PLEASE HELP!!!) Ian tosses four fair coins and writes down all the possible outcomes. After creating the sample space for his experiment, he decides to find the probabilities of different events. Arrange the events in order of their probability from least to greatest.
Answer:
the person bove me is right
Step-by-step explanation:
All front and backyards in Alan's neighborhood are equal in size. Alan can mow his front and back lawns combined in about 45 minutes. If he is to mow both his front and backyard, along with the neighbor's front yard, how long will it take Alan?
Answer: 67.5 minutes
Step-by-step explanation:
Since the front and backyard are the same size, then Alan will take the same time mowing them. So, if he takes 45 minutes mowing both of them, that means that he took half the time mowing the front and the other half mowing the backyard.
[tex]\frac{45}{2} =22.5[/tex]
The neighbor's front yard is the same size as well, so it will take him the same time.
[tex]45+22.5=67.5[/tex]
Then, the total time that Alan takes mowing the three yards is 67.5 minutes.
wheat grass is grown in planters that are 3 1/2 inch by 1 3/4 inch. if there is a 6x6 array of these planters with no space between them what is.the area covered by the planter ?
The area covered by the planter is 220¹/₂ in² = 220,5 in²
Further explanationTo solve the above questions, we need to recall some of the formulas as follows:
Area of Square = (Length of Side)²
Perimeter of Square = 4 × (Length of Side)
Area of Rectangle = Length × Width
Perimeter of Rectangle = 2 × ( Length + Width )
Area of Rhombus = ½ × ( Diagonal₁ + Diagonal₂ )
Perimeter of Rhombus = 4 × ( Length of Side )
Area of Kite = ½ × ( Diagonal₁ + Diagonal₂ )
Perimeter of Kite = 2 × ( Length of Side₁ + Length of Side₂ )
Let us now tackle the problem !
Given:
Length of Rectangle = L = 3¹/₂ inches
Width of Rectangle = W = 1³/₄ inches
Unknown:
Area of Plainter = A = ?
Solution:
This problem is about Area of Rectangle.
[tex]\texttt{Area of Rectangle} = \texttt{Length} \times \texttt{Width}[/tex]
[tex]\texttt{Area of Rectangle} = \texttt{Length} \times \texttt{Width}[/tex]
[tex]\texttt{Area of Rectangle} = 3\frac{1}{2} \times 1\frac{3}{4}[/tex]
[tex]\texttt{Area of Rectangle} = \boxed {6\frac{1}{8} ~ \texttt{in}^2}[/tex]
There is a 6 × 6 array of these planters with no space.
[tex]\texttt{Total Area Covered} = 6 \times 6 \times \texttt{Area of Rectangle}[/tex]
[tex]\texttt{Total Area Covered} = 6 \times 6 \times 6\frac{1}{8}[/tex]
[tex]\texttt{Total Area Covered} = \boxed {220\frac{1}{2} ~ \texttt{in}^2}[/tex]
Learn moreThe perimeter of a polygon : https://brainly.com/question/6361596The perimeter of a rectangle : https://brainly.com/question/7619923The perimeter of a triangle : https://brainly.com/question/2299951Answer detailsGrade: College
Subject: Mathematics
Chapter: Two Dimensional Figures
Keywords: Perimeter, Area , Square , Rectangle , Side , Length , Width
One angle of a triangle measures 120°. The other two angles are in a ratio of 5:7. What are the measures of those two angles
PLEASE HELP!!!! A right rectangular prism has a length of 6 centimeters, a width of 2 centimeters, and a height of 5 centimeters. What is the surface area of the prism? Enter your answer in the box. cm^2
which choice is the graph of a line that is perpendicular to the line represented by the equation y = -2x + 7
Claire’s mother is 4 years more than twice Claire’s age. The sum of their ages is 58 years.
How many whole sandwiches can be made with 2 pounds of cheese if each sandwich has 3 ounces of cheese on it?
Find the sum of the absolute deviations of the following data set.
8, 5, 15, 12, 10
Choices:
50
10
12.5
14
To find the sum of the absolute deviations, calculate the average of the data set and then subtract it from each value, taking the absolute value. Finally, sum up all the absolute deviations.
Explanation:To find the sum of the absolute deviations, we first need to find the average of the data set. The average is calculated by adding up all the numbers and then dividing by the total number of values. So, the average of the data set 8, 5, 15, 12, 10 is (8 + 5 + 15 + 12 + 10) / 5 = 50 / 5 = 10.
Next, we calculate the absolute deviation for each number by subtracting the average from each value and taking the absolute value. The absolute deviations for the given data set are: |8 - 10| = 2, |5 - 10| = 5, |15 - 10| = 5, |12 - 10| = 2, |10 - 10| = 0.
Finally, we sum up all the absolute deviations: 2 + 5 + 5 + 2 + 0 = 14. Therefore, the sum of the absolute deviations is 14. So the correct choice is 14.
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The sum of the absolute deviations of the dataset 8, 5, 15, 12, 10 is calculated by finding the mean of the dataset, calculating the absolute difference of each data point from the mean, and summing up these absolute values. The result is 14.
Explanation:The sum of the absolute deviations of a dataset is determined by first finding the mean of the dataset, and then finding the absolute difference of each data point from the mean. The sum of these absolute values is the sum of absolute deviations.
Here is how to do this with your dataset: 8, 5, 15, 12, 10.
Calculate the mean (average) of the dataset: [tex](8+5+15+12+10)/5 = 10[/tex]Find the absolute difference of each data point from the mean: [tex]|8-10|, |5-10|, |15-10|, |12-10|, |10-10|[/tex], which are 2, 5, 5, 2, and 0 respectively.Sum up these absolute values: [tex]2 + 5 + 5 + 2 + 0 = 14[/tex]So, the sum of the absolute deviations of your dataset is 14.
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Please help I’m stuck.
PLEASE HELP !Barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm. To the nearest cubic centimeter, what is the volume of an ice cube from Barry's tray? 2 cm³ 8 cm³ 25 cm³ 101 cm³
A section in a stained glass window is shaped like a trapezoid. The top base is 1 centimeter and the bottom base is 3.5 centimeters long. If the area of the section of glass is 8.1 square centimeters, how tall is the section?
The height of the trapezoidal section is approximately 3.6 centimeters.
Explanation:To find the height of the trapezoidal section, we can use the formula for the area of a trapezoid: A = 1/2 * (top base + bottom base) * height. In this case, the top base is 1 centimeter and the bottom base is 3.5 centimeters. We are given that the area is 8.1 square centimeters. Plugging these values into the formula:
Therefore, the height of the trapezoidal section is approximately 3.6 centimeters.
The height of the trapezoidal section of stained glass is calculated using the area formula for trapezoids. With the given measurements, the height is found to be 3.6 centimeters.
Explanation:To find the height of a trapezoid section in a stained glass window with a top base of 1 centimeter, a bottom base of 3.5 centimeters, and an area of 8.1 square centimeters, we use the formula for the area of a trapezoid, which is Area = 1/2 × (base1 + base2) × height. In this case, base1 is the top base, base2 is the bottom base, and Area is already given as 8.1 cm2.
Plugging the values into the formula gives us:
8.1 = 1/2 × (1 + 3.5) × height
8.1 = 1/2 × 4.5 × height
8.1 = 2.25 × height
To find the height, we divide both sides by 2.25:
height = 8.1 / 2.25
height = 3.6 centimeters
Thus, the height of the trapezoid section is 3.6 centimeters.
Daniel surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred. The table below shows the result of the survey: Hamburgers Spaghetti Pizza Sample #1 13 43 44 Sample #2 20 41 39 Which of the following inferences can be made based on the data?
Pizza is the most preferred lunch.
Spaghetti and pizza are preferred almost equally.
Hamburgers are two times more popular than pizza.
Hamburgers are two times more popular than spaghetti.
Answer:
Spaghetti and Pizza are preferred almost equally.
Step-by-step explanation:
Daniel surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred based on his observation the table of the following is given as:
Hamburgers Spaghetti Pizza
Sample 1: 13 43 44
-----------------------------------------------------------------------
Sample 2: 20 41 39
-------------------------------------------------------------------------
Total: 33 84 83
By looking at the table we see that the total number of spaghetti and Pizza chosen are almost equal as:
Total number of Spaghetti preferred=84.
and Total number of Pizza preferred=83.
Answer:
d
Step-by-step explanation: