Answer:
B
Step-by-step explanation:
georgia wants to cut the receipe for chocolate frosting in half for a small cake
that she is making. how much of each ingredient will she need
Simplify 2(5/3+3/4)-4/3
A) 13/12
B) 11/4
C) 3
D) 7/2
Hello there!
[tex]2(5/3+3/4)-4/3[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
[tex]2(\frac{5}{3}+\frac{3}{4})-\frac{4}{3}[/tex]
[tex]2(\frac{5}{3}+\frac{3}{4})=\frac{29}{6}[/tex]
[tex]\frac{29}{6}-\frac{4}{3}[/tex]
You had to used least common multiple of 6 and 3.
Prime factorization of 6: 1, 2, 3, 6
3*2=6
Prime factorization of 3: 1, 3
1*3=3
Then multiply by the number
3*2=6
You can also multiply by each numerator by the same amount needed to multiply its corresponding denominator to turn it into the least common multiple is 6.
Then you had to used 4/3 multiply by the denominator and numerator by 2.
[tex]\frac{4}{3}=\frac{4*2}{3*2}=\frac{8}{6}[/tex]
[tex]\frac{29}{6}-\frac{8}{6}[/tex]
Since the denominators are equal, it combine by the fractions.
[tex]\frac{29-8}{6}[/tex]
Then you can subtract by the numbers.
[tex]29-8=21[/tex]
[tex]\frac{21}{6}[/tex]
You had to cancel by the common factor of 3.
[tex]=\frac{7}{2}[/tex]
Answer⇒⇒⇒⇒7/2
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
The answer would be d.7/2
If a=2 and b=3 then what does ab^2 equal
If A=2 and B=3, then AB would be 23. 23 squared is 529.
explain how to solve the expression -98 - 31 using the additive inverse property
-98-31 can also be written as
(-98) + (-31)
We know 98+31=129
Therefore -129
The student's question about '-98 - 31' refers to simple subtraction, not the additive inverse property. Subtracting 31 from -98 provides the answer, -129.
Explanation:The student asked how to solve the expression -98 - 31 using the additive inverse property. The additive inverse property states that: for any number 'a', there is a number '-a' such that: 'a + -a = 0'. Applying this property, if you were to add 98 to -98, it would give 0. However, the question asks for -98 - 31. This doesn't require the additive inverse property, but simple subtraction. Subtract 31 from -98 to get -129.
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In Ping-Toss, the object is to toss two Ping-Pong balls so they each land in a red section of the stick-em board. Phil’s first toss landed in a red section. How does his chance of winning change if he is allowed to remove the first ball before he tosses the second?
Answer:
It increases, because if the first ball is left in a red section, there is less red area for the second ball to land on. - trust
Step-by-step explanation:
The number 5/3 can be best described as a(n) _____. proper fraction improper fraction mixed number
Jonathanpalafox67,
In order to get your answer you must first know what each of the options are.
A proper fraction is a fraction where the numerator is smaller than your denominator. A improper fraction is a fraction where the numerator is greater than the denominator. A mixed number is a fraction mixed with a whole number.
[tex]\frac{5}{3}[/tex][tex]5 > 3[/tex]Therefore your answer is the second option "improper fraction."
Hope this helps!
Answer:
A proper fraction is a fraction where the numerator is smaller than your denominator. A improper fraction is a fraction where the numerator is greater than the denominator. A mixed number is a fraction mixed with a whole number.
Therefore your answer is the second option "improper fraction."
Hope this helps!
Franco says that when he multiplies any number by a factor, the product is always equal to the number. What is the factor? Explain how you know this is true.
1 because any number times 1 equals itself.
Example: 3 times 1 = 3
Final answer:
The factor is 1. When you multiply any number by 1, the product is always equal to the number itself.
Explanation:
The factor is 1.
When you multiply any number by 1, the product is always equal to the number itself.
This is because multiplying by 1 does not change the value of the quantity. For example, if you multiply 5 by 1, the product is 5.
In algebra, the concept of multiplying by 1 is often used to simplify equations or expressions.
By multiplying both sides of an equation or an expression by 1, the equality is preserved, and it allows us to rearrange the terms or cancel out certain factors.
Match each concept with its key characteristic.
1. subset of a group survey
2. equally favors all members of a group sample mean
3. collects data on members of a group population
4. does not equally favor all members of a group random sample
5. includes all members of a group sample
6. analyzes data collected from a group biased sample
1. It is the subset of a group - Group sample.
2. It equally favors all members of a group sample - Random sample.
3. It collects data on members of a group - Survey.
4. It does not equally favor all members of a group - Biased sample.
5. It includes all members of a group - Population.
6. It analyzes data collected from a group - Mean.
I have matched all concepts in accordance with statistical use, hope it helps.
Matching each concept with its key characteristic are:
Group sample- It is the subset of a group.Random sample- It equally favors all members of a group sample.Survey- It collects data on members of a group.Biased sample- It does not equally favor all members of a group Population- It includes all members of a group.Mean- It analyzes data collected from a group.What is group sample and random sample?Group sample are sample collected from a population.Random sample are sample collected randomly from a population.Survey are data or information collected from a population so as to draw a conclusion.Biased sample occur when their is biased when taking a sample.Population are member of a group.Mean help to evaluate and analyze data from a group of population.Therefore Group sample- It is the subset of a group.
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A planter in the shape of a cube has a volume of 1000in3 is the area of the base of the cube greater than or less than 1 square foot?explain
The cube volume is 10x10x10 inch3, so the base area is 10 inch x10 inch. On the other hand, we know that 1 square foot = 1 foot x 1 foot = 12 inch x 12 inch, so that is *greater* than the cube base.
Answer:
area of the base of the cube is smaller than 1 square foot
Step-by-step explanation:
since the volume of the cube is 1000 in^3 then its side must be (1000)^{1/3}
which is equal to 10 in
now, we know that area of the base of the cube will have an square cross section area= side^2
there area of base of the cube = 10^2= 100 sq in
now 1 foot= 12 in
therefore, 1 square foot = 12*12 square in = 144 sq in
clearly, area of the base of the cube is smaller than 1 square foot.
hope you liked the explanation.
joy knits a square blanket that has an area of 1,500 square inches . What is the approximant length for each side of the blanket ?
A. 16 inches
B.27 inches
c.39 inches
D. 42 inches
Jeff is an archetict and is drawing the plan for a room addition for a client. If the shape of the room is a cube, what is the volume in cubic feet if the length is 23 feet?
A.539
b.1024
c.12,167
D.32,768
Answer:
1) Option C - 39 inches
2) Option C - 12167 cubic feet
Step-by-step explanation:
1) Given : Joy knits a square blanket that has an area of 1,500 square inches
To find : What is the approximate length for each side of the blanket.
Solution: Area of square = 1500 square inches
Let the side of the blanket = s
Formula of area of square is [tex]A= s^2[/tex]
[tex]1500= s^2[/tex]
[tex]s= \sqrt{1500}[/tex]
[tex]s=38.7[/tex]
Approximately Side of blanket = 39 inches
Therefore, Option C is correct.
2) Given : Jeff is an architect and is drawing the plan for a room addition for a client. If the shape of the room is a cube.
To find : what is the volume in cubic feet if the length is 23 feet?
Solution: Length of side of a cube (a)= 23 feet
Let the volume of a cube = V
Formula of Volume of cube is [tex]V= a^3[/tex]
[tex]V= (23)^3[/tex]
[tex]V= 12167[/tex]
Volume of a cube = 12167 cubic feet
Therefore, Option C is correct.
The approximate length for the blanket is given as 27 inches. Option B
The volume of the room addition is 12167 cubic feet (option C)
How to solve for the volumeLet's solve each problem:
1. Side length = √(Area)
Side length = √(1500 square inches)
Side length ≈ √(25 * 60) square inches
Side length ≈ 5√60 inches
This can be simplified further, but as an approximate answer, the length of each side is approximately 27.39 inches.
Approximately B.27 inches
2. Volume = (Side length)³
Volume = (23 feet)³
Volume = 12,167 cubic feet
So, the volume of the room addition is 12167 cubic feet (option C).
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Find the range of the graphed function.
The range of a graph is the high-and-low points of the graph on the y-axis.
The high point looks like it is at y = 5. The low point appears at y = - 9
Option D is your answer.
Answer:
The range is:
-9≤y≤5
Step-by-step explanation:
We have to find the range of the graphed function.
Here, the scale is of 2 units
The range is calculated as the values between the smallest value and the largest value
The smallest value graph attains is: -9
and the largest value graph attains is: 5
Hence, the range is:
-9≤y≤5
Anne gave birth to a pair of mice. The female gave birth to eight mice, four male and four female. The five females gave birth to eight more mice, four male and four female. If this happens again, how many males would Anne have?
If Anne gave birth to four males and four females, and they all gave birth the same way again, they would have eight males, but if it were to happen again, there would be 12 males and 12 females in total if you don't count all of the females giving birth EACH to four males and four females. Otherwise it would be 40 males, and 40 females.
24 male mice trick question
Which of the following numbers is greatest, or furthest to the right on the number line? {56, 39, 74, 81, 62}
Answer:
Greatest vales is 81 which furthest to right on number line.
Step-by-step explanation:
Given : {56, 39, 74, 81, 62}.
To find : Which of the following numbers is greatest, or furthest to the right on the number line?
Solution : We have given {56, 39, 74, 81, 62}.
We know that on the number line left side from the zero is negative values and right sides of zero are positive values.
As we move forward in right sides vales increaes.
Lesser vales come at left and greater values comes at right.
39 ,56 ,62 ,74 ,81.
Greatest vales is 81 which furthest to right on number line.
Therefore, Greatest vales is 81 which furthest to right on number line.
A used motorcycle is on sale for $3,600. Erik makes an offer equal to 3/4 of this price. How much does Erik offer for the motorcycle?
A package weighs 2.6 pounds how much do 8 of the same sized packages weigh
2.6 x 8
This will equal to 20.8 pounds
Why hello there
Your question: A package weighs 2.6 pounds how much do 8 of the same sized packages weigh
My answer: Well this answer is pretty simple. They key words are 2.6 8 and 8 of the same sized packages weigh. So you can conclude that you are multiplying.
Heres the equatiton for a better understanding
2.6 * 8 = 20.8
So your answer is 20.8
Important: If my answer did help you understand or even pass please mark me as brainliest thank you and have the best day ever!
help me now boy or girl
|2*z - 9| = 1
How do I find z in this equation?
Let's solve your equation step-by-step.
|2z − 9| = 1
Solve Absolute Value.
|2z − 9| = 1
We know either 2z − 9 = 1 or 2z − 9 = −1
2z − 9 = 1 (1 is a possibility)
2z − 9 + 9 = 1 + 9 (Add 9 to both sides)
2z = 10
2z /2 = 10 /2 (Divide both sides by 2)
z=5
2z − 9 = −1 (Possibility 2)
2z − 9 + 9 = −1 + 9 (Add 9 to both sides)
2z = 8
2z /2 = 8 /2 (Divide both sides by 2)
z = 4
1
Two solutions were found :
z=5
z=4
Absolute Value Equation entered :
|2z-9|=1
Step by step solution :
Step 1 :
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|2z-9| = 1
Step 2 :
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |2z-9|
For the Negative case we'll use -(2z-9)
For the Positive case we'll use (2z-9)
Step 3 :
Solve the Negative Case
-(2z-9) = 1
Multiply
-2z+9 = 1
Rearrange and Add up
-2z = -8
Divide both sides by 2
-z = -4
Multiply both sides by (-1)
z = 4
Which is the solution for the Negative Case
Step 4 :
Solve the Positive Case
(2z-9) = 1
Rearrange and Add up
2z = 10
Divide both sides by 2
z = 5
Which is the solution for the Positive Case
Step 5 :
Wrap up the solution
z=4
z=5
brainliest plzz
the senate passed a bill by an 8:1 ratio if 90 senators voted in all, how many voted for the bill?
a.) 80
b.) 89
c.) 11.25
d.) 10
d. 10
8+1=9
90/9=10 people voted in all
Answer: a) 80
Step-by-step explanation:
8: 1
8+1= 9
8/9 × 90
=8 × 10 = 80
can someone explain the law of syllogism and the law of detachment for geometry???
Law of detachment is used when you have a conditional statement and another statement that matches the hypothesis of the conditional. ... Law of syllogism is used when you have two conditionals and the hypothesis of one matches the conclusion of the other.
Final answer:
In geometry, the law of syllogism allows for the combination of two conditional statements to reach a conclusion, while the law of detachment allows us to derive a conclusion from a known hypothesis and a conditional statement.
Explanation:
The Law of Syllogism and Detachment in Geometry
Both the law of syllogism and the law of detachment are forms of deductive reasoning used in geometry. The law of detachment is a process where we derive a conclusion from a single conditional statement and its hypothesis. For example, if we have a statement 'If a figure is a square, then it has four equal sides', and we know that a given figure is a square, we can deduce that this figure has four equal sides.
The law of syllogism, on the other hand, allows us to combine two conditional statements to derive a new conclusion. If we have two true statements, such as 'If an angle is acute, then it is less than 90 degrees' and 'If an angle is less than 90 degrees, then it is not a right angle', we can then conclude that 'If an angle is acute, then it is not a right angle'.
These laws form the backbone of logical reasoning in mathematics, allowing us to connect premises to reach valid conclusions and build upon established theorems and properties in geometry.
what is the GCF of 18 and 20
The equation c=6.4w represents the cost c for w pounds of walnuts. Does a value of 2.5 for w make sense in this situation? Explain your reasoning
We are given equation: c=6.4w, where the cost c for w pounds of walnuts.
w represents the number of pounds of walnuts.
Number of pounds could be in decimals.
The value of w = 2.5 represents 2.5 pounds of walnuts.
On plugging w=2.5 in c=6.4w equation, we get.
c=6.4×2.5 = $16.
Therefore, for 2.5 pounds of walnuts the total cost is $16.
Hence, a value of 2.5 for w make sense in this situation. It shows that cost of 2.5 pounds of walnuts is $16, where cost of each pound of walnuts is 6.4.
Answer:
We are given equation: c=6.4w, where the cost c for w pounds of walnuts.
w represents the number of pounds of walnuts.
Number of pounds could be in decimals.
The value of w = 2.5 represents 2.5 pounds of walnuts.
On plugging w=2.5 in c=6.4w equation, we get.
c=6.4×2.5 = $16.
Therefore, for 2.5 pounds of walnuts the total cost is $16.
Hence, a value of 2.5 for w make sense in this situation. It shows that cost of 2.5 pounds of walnuts is $16, where cost of each pound of walnuts is 6.4.
Step-by-step explanation:
Given a = 4, b = -2 and c = 8, evaluate 3abc.
3(4)(-2)(8) is what the equation looks like all you have to do is multiply all these numbers so 3 times 4 equals 12 and 12 times -2 equals -24 then lastly multiply -24 by 8 which gives you the product of -192.
Solve the following absolute value equation |2x+3|=5
2x+3=5
Subtract 3 both sides
2x=5-3
Simplify
2x=2
Divide 2 each side
X= 2/2
Evaluate
X=1
Now second part
2x+3=-5
2x=-5-3
2x= -8
X=-8/2
X=-4
So x= 1,-4
the sum of three numbers is 109. the Second number is 3 more than the first number, and the third number is 4 more than the second number. what are the numbers?
The equation created from this situation would be 109=3+n+n+4+3+n
Solve for n and n would be 33
The numbers would be 33, 36, and 40.
The scale of a park map says that 2 cm represents 6 km. What is:
A. the distance ( cm ) on the map that represents an actual distance of 9 km?
B. the actual number of km that is represented by 5 cm on the map?
There are 104 students in the fourth grade at Allison’s school one day 15 fourth-graders were absent how many fourth graders were at school that day
If you have 104 students in the beginning and then 15 are absent, that's as simple as saying 104 - 15.
And 104 - 15 = 89
This is what the problem looks like: 104 - 15 = ?
Your answer is 89.
Convert the decimal 3.88888 to a fraction
The fraction of 3.88888 will be [tex]3\frac{11111}{12500}[/tex]
FractionA fraction represents a part of a whole or, more generally, any number of equal parts.In arithmetic, a number expressed as a quotient, in which a numerator is divided by a denominatorHow to solve this problem?The steps are as follow:
Step 1: Make a fraction with the decimal number as the numerator (top number) and a 1 as the denominator (bottom number).Step 2: Remove the decimal places by multiplication. First, count how many places are to the right of the decimal. Next, given that you have x decimal places, multiply numerator and denominator by 10x.Step 3: Reduce the fraction. Find the Greatest Common Factor (GCF) of the numerator and denominator and divide both numerator and denominator by the GCFStep 4: Simplify the remaining fraction to a mixed number fraction if possible.So the 3.88888 can be written as in fraction as following:[tex]3.88888= \frac{3.88888}{1}\\ \frac{3.88888}{1} * \frac{100000}{100000} \\ \frac{388888/8}{100000/8} = \frac{48611}{12500}\\ 3\frac{11111}{12500} \\\\3.88888=3\frac{11111}{12500}[/tex]
So the fraction of 3.88888 will be [tex]3\frac{11111}{12500}[/tex]
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|n-3|=5 solve for n and graph the solution set
[tex]|n-3|=5\iff n-3=5\ \vee\ n-3=-5\qquad|\text{add 3 to both sides}\\\\n=8\ \vee\ n=-2[/tex]
The solution for the equation |n-3|=5 is n=8, -2. These two points, when graphed on a number line represent the solution set.
Explanation:In Mathematics, the absolute value of a number can have two possible solutions because it represents the distance from zero, and distance is always positive. To solve the equation |n-3|=5, we need to break it down into two separate equations.
When the term inside the absolute value (n-3 in this case) is positive, the equation is simply n-3=5. Solving for n gives n=8.
When the term inside the absolute value is negative, the equation is -(n-3) = 5, or equivalently, 3-n=5. Solving for n in this case gives n=-2.
So the solution set for n is {8, -2}. To graph the solution set on a number line, draw a number line from -3 to 9 and put closed dots at n=-2 and n=8.
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What is the perimeter of the figure?
229 4/9 ft
229 2/3 ft
230 2/3 ft
231 ft
The answer would be 230 2/3, because to get the perimeter you have to add all the sides together, 60 5/6 + 59 1/3 + 56 1/6 + 54 1/3 = 230 2/3
The correct perimeter of the figure is 230 2/3 ft. Here option C is correct.
The perimeter of the figure is the sum of the lengths of all its sides. To find the perimeter, we need to add the fractions given for each side.
We can do this by finding the common denominator and then adding the numerators. The common denominator for 3, 6 and 9 is 18. So, we have:
54 1/3 ft = 54 + 1/3 ft = 54 + 6/18 ft = 54 6/18 ft
56 1/6 ft = 56 + 1/6 ft = 56 + 3/18 ft = 56 3/18 ft
59 1/3 ft = 59 + 1/3 ft = 59 + 6/18 ft = 59 6/18 ft
60 5/6 ft = 60 + 5/6 ft = 60 + 15/18 ft = 60 15/18 ft
Now, we can add the fractions and simplify:
54 6/18 ft + 56 3/18 ft + 59 6/18 ft + 60 15/18 ft
= (54 + 56 + 59 + 60) + (6 + 3 + 6 + 15)/18 ft
= 229 + 30/18 ft
= 229 + 1 12/18 ft
= 229 + 1 2/3 ft
= 230 2/3 ft
Therefore, the perimeter of the figure is 230 2/3 ft. Here option C is correct.
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Who's correct and why?
Please help!!! I don't understand sadly.