Final answer:
After comparing the fractions of the chocolate cake (5/12) and the marble cake (1/2 or 6/12) eaten by the family, it's clear that they ate more marble cake as 6/12 is greater than 5/12.
Explanation:
Jared cut a chocolate cake into 12 equal parts and a marble cake into 6 equal parts. After his family ate 5 slices of chocolate cake and 3 slices of marble cake, we want to determine which type of cake they ate more of. To compare the quantities directly, we consider the size of each individual slice. A chocolate cake is cut into 12 pieces, so each slice represents 1/12 of the full cake. The marble cake is cut into 6 pieces, meaning each slice is 1/6 of the entire cake. Therefore, when the family ate 5 slices of chocolate cake, they consumed 5/12 of the chocolate cake, and consuming 3 slices of marble cake equates to 3/6, or 1/2 of the marble cake.
To compare these fractions, we can notice that 1/2 is equivalent to 6/12 when converted to have a common denominator. Comparing 5/12 and 6/12, it is clear that 6/12 is greater. Thus, the family ate more marble cake than chocolate cake.
PLEASE ANSWER
A map has a scale of 1/3 inch to 2 miles. The shortest distance between 2 cities on the map measures 7 inches. If d represents the shortest distance between the 2 cities, what is d?
A) 14 mi
B) 21 mi
C) 36 mi
D) 42 mi
1/3 = 7
------ ---------
2 miles ? miles
using cross products
1/3 * ? = 2 * 7
1/3 ? =14
? = 42 miles
Answer:
42
Step-by-step explanation:
-12-a=6y+12
solve the equation
Answer:
a = -1Step-by-step explanation:
[tex]-12-a=4a-7\qquad|\text{add 12 to both sides}\\\\-a=4a+5\qquad|\text{subtract 4a from both sides}\\\\-5a=5\qquad|\text{divide both sides by -5}\\\\\boxed{a=-1}[/tex]
I need help with these last two please?
Ella owns 15% of Fitz Incorporated. The rest of the shares are owned equally by the remaining 5 shareholders. What percent of the corporation does each of the other shareholders own?
Answer:
17%
Step-by-step explanation:
The total corporation shares is 100%If Ella owns 15% of Fitz,the remaining shares is 100-15=85%If there are 5 shareholders and they all own equal shares,the percentage for each shareholder will be;85/5=17% eachFinal answer:
Ella owns 15% of Fitz Incorporated, and the remaining 85% is shared equally among 5 other shareholders. Thus, each of these shareholders owns an equal share of 17% of the corporation.
Explanation:
The question asks about corporate stock and how it relates to the percentage of ownership in a corporation. Ella owns 15% of Fitz Incorporated, and the remaining 85% is owned equally by 5 other shareholders. To find the percentage each of these shareholders owns, we divide the remaining percentage by the number of shareholders.
The calculation would be:
Subtract the percentage owned by Ella from the total, which is 100% - 15% = 85%.
Divide this remaining percentage (85%) by the number of other shareholders, which is 5.
85% / 5 = 17% ownership for each of the other shareholders.
So, each of the remaining 5 shareholders owns 17% of the corporation.
Kenya solved the equation below. -6
(x-2)+3x=-3(x+3)+21 What is the solution to Kenya’s equation? –4 12 no solution infinitely many solutions
Answer:
Kenya’s equation has infinitely many solutions
Step-by-step explanation:
we have
[tex]-6(x-2)+3x=-3(x+3)+21[/tex]
Solve for x
Eliminate the parenthesis
[tex]-6x+12+3x=-3x-9+21[/tex]
Group terms that contain the same variable
[tex]-6x+3x+3x=-9+21-12[/tex]
Combine like terms
[tex]0=0[/tex] ---> is true for any value of x
therefore
Kenya’s equation has infinitely many solutions
Answer:
D
Step-by-step explanation:
What is the complement of a single die being rolled to a number greater than 2
a single die being rolled to a number less or equal to 2
Final answer:
The complement of rolling a number greater than 2 on a single six-sided die is rolling a 2 or less, which has a probability of 1/3.
Explanation:
In the context of a single six-sided die roll, the complement of rolling a number greater than 2 would be rolling a number that is 2 or less, which in this case includes rolling a 1 or a 2. Each face of a fair six-sided die has an equal chance of landing face up, giving us a probability of 1/6 for landing on a specific number. Since there are two outcomes that are 2 or less (1 and 2), we simply add their probabilities to get the complement. Thus, the complement of rolling a number greater than 2 is:
P(rolling a 1 or 2) = P(rolling a 1) + P(rolling a 2)
= 1/6 + 1/6
= 1/3.
Therefore, there is a 1/3 chance of rolling a number that is 2 or less when rolling a single fair six-sided die.
a jar contains 2 red and 4 blue marbles. a marble is drawn from the jar. what is the probability that a red marble will be drawn?
2 red / 4 blu
just semplify
1 red / 2 blu
so the probability is
1/2
Answer:
The answer is 50% Hope this helps!
Two enterprising college students decide to start a business. They will make up and deliver helium balloon bouquets for special occasions. It will cost them $39.99 to buy a machine to fill the balloons with helium. They estimate that it will cost them $2.00 to buy the balloons, helium and ribbons needed to make each balloon bouquet. Which of the following expressions could be used to model the total cost for producing b balloon bouquets?
$2.00b + $39.99$37.99b$39.99b + $2.00$41.99bSave
Answer:
Option A.
Step-by-step explanation:
Machine to fill the balloons with helium will cost = $39.99
Cost of the balloons, helium and ribbons for each bouquet = $2.00
If b balloon bouquets are produced then cost of b balloon bouquets = $2b
Total cost for producing b balloon bouquets = cost of machine + cost of material
= $(39.99 + 2b)
Therefore, cost to produce b bouquets will be $2.00b + $39.99
Hence option A is the answer.
Witch expression is equivalent to g-^m ➗ g^n?
A. g-^m + ^n
B. g-^m • n
C. g-^m -^n
D.g-^m ➗ ^n
Answer,
C.g-^m -^n
Hope this helps :-)
2c - 5 < -21 - 2c pls
2c - 5 < -21 - 2c |add 5 to both sides
2c < -16 - 2c |add 2c to both sides
4c < -16 |divide both sides by 4
c < -4
Perform the indicated operation.
x3 • x2
I believe it would be x5 considering you must add exponents when you multiply.
Answer:
[tex]x^3\cdot x^2=x^5[/tex]
Step-by-step explanation:
The rule to multiply two powers with the same base consists in adding the exponents. The general form would be:
[tex]x^a\cdot x^b=x^{a+b}[/tex]
For verifying the previous rule, let's say that x=2, a=2 and b=3. The equation would be:
[tex]2^2\cdot 2^3=2^{5}[/tex]
[tex](4)\cdot (8)=2^{5}[/tex]
[tex]32=32[/tex]
We have obtained the result multiplying individually and applying the rule.
Now, for the [tex]x^3\cdot x^2[/tex] exercise, the result would be obtained by adding 3 and 2. It would be:
[tex]x^3\cdot x^2=x^{3+2}=x^5[/tex]
The solution is [tex]x^5[/tex]
I need 38, 39, 40, 43, and 44. Please answer any of them
38. X>2 and X<1 will give you the answer X3 because X>2+X<1= X3
39. X>2 or X>3 will give you the answer X6 because X>2x X>3=X6
40. your answer would be x=4
I don’t understand this. In class we have been doing these problems with only one transversal, not two.
Answer: Yes it is possible. Angle DCF is also 50 degrees
=================================================
Check out the image attachment below. On that image, I've marked that angle EBA is congruent to angle BAC by the alternate interior angle theorem. Those angles are shown in red. Furthermore, angle BAC is congruent to DCF (corresponding angles) using a green marker. Finally, using the transitive theorem, you can connect the statements in a chain to say that angle EBA is congruent to angle DCF, which is why angle DCF is 50 degrees as well.
What is 2 1/6 - 3 4/9?
is feet a type of surface area
It would have to be feet squared, it couldn't just be feet.
What is the product of -0.2 -6.8
The product of -0.2 -6.8 = -7 Hope this Helps :)
help plssssssssss! pls
help now I don't know !!!
Additive inverse: the additive inverse of a number a is the number that when added to a yields zero.It's also known as the opposite sign change and negation. For a real number it reverses its sign: the opposite to a positive number is negative and the opposite to a negative number is positive
Integer:Any number that is positive negative or nuetral, intergers cannot have decimals or fractions
Negative number: A number that is below zero. For example, -1 or -2 2/3
Positive number: A number that is above 0. For example, 1 or 2 2/3. You can also write a positive number with a + sign infront of it. For example, +1 or +2
good luck
A landscaper has 34 ton of mulch. She puts 116 ton of mulch on each flower bed.
How many flower beds does she put mulch on?
Enter your answer in the box.
The Answer Is 12
yes the answer is 12
hope it helps
A student notices in the table below that as the x-value increases by 5, the y-value decreases by 2. Because there is a pattern, the student has determined that, x is proportional to y.
Do you agree with the student’s claim? Why or why not?
___________
X
5x1=5
5x2=10
5x3=15
5x4=20
5x5=25
Y
20-2=18
18-2=16
16-2=14
14-2=12
X Is by 5 and Y is subtracting by 2
The function p(x)=8x-10 shows the profit, in dollars, for selling x books.
p(10) is the profit, in dollars, from selling 10 books. Replace every copy of x with 10 and simplify
p(x) = 8x-10
p(10) = 8*10-10 .... every x is replaced with 10
p(10) = 80-10
p(10) = 70
So the profit is $70
For the function p(x) = 8x - 10, the profit for selling 20 books is $150.
Explanation:
In the problem, the function p(x) = 8x - 10 represents the profit, in dollars, for selling 'x' books. When it's stated that p(20) = 150, it means that by substituting the value of 'x' as 20 in the function, we get the value as 150. In terms of the problem, it means that the profit for selling 20 books is $150.
Let's break down the problem step by step.
1. You're given the function p(x) = 8x - 10, which represents the profit, in dollars, for selling x books. In this equation, p(x) is the profit, and \(x\) is the number of books sold.
2. You're asked to evaluate the function at x = 20, which means you want to find p(20). To do this, substitute x = 20 into the function and calculate the result.
p(20) = 8(20) - 10
3. Perform the calculation:
p(20) = 160 - 10
4. Complete the subtraction:
p(20) = 150
So, p(20) = 150, which means that the profit for selling 20 books is $150. This is the interpretation of the statement "p(20) = 150" in terms of the problem.
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The probable question can be: The function p(x) = 8x - 10 shows the profit, in dollars, for selling x books.
p(10) = 70
p(20) = 150
What does p(20) = 150 mean in terms of the problem?
It costs $150 to make 20 books.
It costs $20 to make 150 books.
The profit for selling 150 books is $20.
The profit for selling 20 books is $150.
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Susanna spends a total 0f 47 minutes on her project. How many more minutes than Susanna does Abby spend working? Draw a number line to model the problem, and write an equation to solve.
a - 47 = more time spent
In this mathematical problem, Abby's time is represented as x and the difference in time between Abby's and Susanna's work can be modeled by the equation x-47=y, where y is the extra time Abby spends. A number line can be used to visualize this problem, but without knowing Abby's time, we cannot determine y.
Explanation:The subject of this problem is mathematics and it discusses time spent by two individuals on their project. We know that Susanna spends 47 minutes on her project. However, we do not know how much time Abby spends on her project. We could represent the time Abby spends on her project as x.
To visualize the situation, we can draw a number line. Place a point at 47 which represents Susanna's time. Then place another point at x which represents Abby's time.
The difference in time between Susanna and Abby can be represented by the equation x - 47 = y, where y is the number of extra minutes Abby spends working on her project.
Without any additional information on how much time Abby spent on her work, it's impossible to give a specific answer.
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can someone please help these are due tomorrow and i don’t understand them!!!! 1-12 please?
ANSWER TO QUESTION 1
[tex]w(34)=0[/tex]
We multiply both sides by the multiplicative inverse of 34
[tex]w(34)\times \frac{1}{34} =0 \times \frac{1}{34}[/tex]
We apply the multiplicative property of zero to obtain,
[tex]w =0 [/tex]
ANSWER TO QUESTION 2
The dot means multiplication
[tex]7\times x=7[/tex]
By multiplicative inverse property,
[tex]\frac{1}{7}\times7x=\frac{1}{7} \times7[/tex]
[tex]1 \times x=1[/tex]
By the multiplicative identity property,
[tex]x=1[/tex]
ANSWER TO QUESTION 3
[tex]0+r=15[/tex]
By the additive identity property
[tex]r=15[/tex]
ANSWER TO QUESTION 4
[tex]9(0)=a[/tex]
By the multiplicative property of zero
[tex]0)=a[/tex]
or
[tex]a=0[/tex]
ANSWER TO QUESTIONS NUMBER
5. Multiplicative property of zero
Reason: According to this property if you multiply any number by zero, the result is zero.
That is why
[tex](0)3=0[/tex]
6. Multiplicative identity property
Reason: According to this property if we multiply any number by 1 the result is the same number. That is why
[tex]10\times 1=10[/tex]
7. Multiplicative identity property
Reason: According to this property if we multiply any number by 1 the result is the same number. That is why
[tex](1)\times 52=52[/tex]
8. Reflexive property of equality
According to this property for any number [tex]a[/tex],
[tex]a=a[/tex]
That is why
[tex]12+5=12+5[/tex]
9.Additive identity Property
According to this property, if we add any number to zero, the result is the same number. That is why
[tex]17+0=17[/tex]
10. Symmetric Property of Equality
According to this property, if [tex]a=b[/tex] then [tex]b=a[/tex]. That is why,
if [tex]6+7=13[/tex] then [tex]13=6+7[/tex]
11. Substitution Property of Equality
According to this property,
If if [tex]a=b[/tex] then we can substitute a and for b in any expression that is why,
[tex](60-20)-10=40-10[/tex] because [tex]40=60-20[/tex]
12. The Transitive Property of Equality
According to this property is ,if [tex]a=b[/tex] and [tex]b=c[/tex]
then [tex]a=c[/tex]. That is why,
If [tex]2^3=8[/tex] and [tex]8=10-2[/tex]
then [tex]2^3=10-2[/tex]
Answer:
1. w = 0
2. x = 1
3. r = 15
4. a = 0
5. Multiplicative identity of zero
6. Multiplicative identity of 1
7. Multiplicative identity of 1
8. Reflexive property of equality
9. Additive identity property of 0
10. Symmetric property of equality
11. Substitution property of equality
12. Transitive property of equality
Step-by-step explanation:
1. [tex]w (34) = 0[/tex]
w = 0 / 34
w = 0 (since anything divided by 0 is 0)
2. [tex]7[/tex] · [tex]x = 7[/tex]
7x = 7
x = 7 / 7
x = 1
3. [tex]0 + r = 15[/tex]
r = 15 - 0
r = 15
4. [tex]9 (0) = a[/tex]
Anything multiplied with 0 becomes 0 so
0 = a
a = 0
5. [tex](0) 3 = 0[/tex] ---> Multiplicative identity of 0
Any number multiplied by 0 becomes 0.
6. [tex]10[/tex] · [tex]1 = 10[/tex] ---> Multiplicative identity of 1
Any number multiplied by 1 remains unchanged.
7. [tex]1 (52) = 52[/tex] ---> Multiplicative identity of 1
Any number multiplied by 1 remains unchanged.
8. [tex]12 + 5 = 12 + 5[/tex] ---> Reflexive property of equality
The values are equal to itself.
9. [tex]17 + 0 = 17[/tex] ---> Additive identity property of 0
Sum of 0 and any number is the original number.
10. If [tex]6 + 7 = 13[/tex], then [tex]13 = 6 + 7[/tex] ---> Symmetric property of equality
If a = b then b = a.
11. [tex](60 - 20) - 10 = 40 - 10[/tex] ---> Substitution property of equality
If x = y then x can be substituted in for y in any equation and vice versa.
12. If [tex]2^{3} = 8[/tex] and [tex]8 = 10 - 2[/tex], then [tex]2^{3} = 10 - 2[/tex] ---> Transitive property of equality
If a =b and b = c, then a = c.
Which of these is not an integer?
6/3
3/6
6/2
Answer:
3/6is not a integer.
Step-by-step explanation:
6/3 integer
6/2 integer
3/6 not a integer
Final answer:
The fraction 3/6 is not an integer because it equals 0.5, which is a fraction and not a whole number.
Explanation:
To determine which of these values is not an integer, we need to perform the division for each fraction:
6/3 = 2, which is an integer3/6 = 0.5, which is not an integer; it is a fraction6/2 = 3, which is an integerTherefore, 3/6 is not an integer because when you divide 3 by 6, you get a fractional number rather than a whole number.
Evaluate the expression for the given values of the variables.
4a+7b+3a-2b+2a ;
a=-5 & b=3
a) 17
b) -5
c) -20
d) -30
The answer is D or -30
The value of the expression for the given values of the variables is -30.
The given expression is 4a+7b+3a-2b+2a, the values of the variables a=-5 and b=3.
We need to evaluate the expression for the given values of the variables.
How to find the value of the expression?To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
Now, put a=-5 and b=3 in the given expression and simplify.
That is, 4a+7b+3a-2b+2a=4(-5)+7(3)+3(-5)-2(3)+2(-5)
=-20+21-15-6-10
=-30
Therefore, the value of the expression for the given values of the variables is -30.
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whats the equivalent of this equation? help please
[tex]9^{\frac{1}{8} }[/tex]x
note that [tex]\sqrt[4]{9}[/tex] = [tex]9^{\frac{1}{4} }[/tex]
and all raised to the power [tex]\frac{1}{2}[/tex] x
multiply [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{2}[/tex] x = [tex]\frac{1}{8}[/tex] x
two times the sum of v and w is equal to two times z. translate into equation
the equation will be: 2(v+w)=2z
Johnny makes $8.25 an hour working at the local restaurant. His paycheck shows that he works 29.5 hours over the past week. How much money did Johnny make? (Not rounded to the nearest cent)
To do this you can do (pay) x (hours) to work out how much Johnny makes for example:
8.25 x 29.5 = 243.375$ so the answer is 243.375$
Answer:
The correct answer is B) $243.397
Step-by-step explanation:
what is Fraction equation that equals 10
Hey there,
Here is your answer:
10/1 = 10
HELP PLZ SHOW WHORK THXS YALL ^_^ luv yall
Answer:
Tony pays $6.75 for his item, & Tanya pays $9 for her items
Step-by-step explanation:
Let Tanya's item be x, and Tony's be y. Set the system of equality:
3x = 4y
y = x - 2.25
Plug in x - 2.25 for y in the first equation
3x = 4(x - 2.25)
Distribute 4 to all terms within the parenthesis
3x = 4x - 9
Isolate the x. Subtract 4x from both sides
3x (-4x) = 4x (-4x) - 9
3x - 4x = -9
-x = -9
Isolate the x. Divide -1 from both sides
(-x)/-1 = (-9)/-1
x = 9
-------------------------------------------------------------------------------------------------------------------
Plug in 9 for x in the equation
y = x - 2.25
y = (9) - 2.25
y = 6.75
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Tony pays $6.75 for his item, & Tanya pays $9 for her items
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~Rise Above the Ordinary