Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{12 \dfrac{2}{3} \times 3 \dfrac{1}{4}}[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\mathsf{12 \dfrac{2}{3} \times 3 \dfrac{1}{4}}[/tex]
[tex]\mathsf{= \dfrac{12\times3 + 2}{3}\times\dfrac{3\times4+1}{4}}[/tex]
[tex]\mathsf{= \dfrac{36 + 2}{3}\times\dfrac{12 + 1}{4}}[/tex]
[tex]\mathsf{= \dfrac{38}{3}\times \dfrac{13}{4}}[/tex]
[tex]\mathsf{= \dfrac{38\times13}{3\times4}}[/tex]
[tex]\mathsf{= \dfrac{494}{12}}[/tex]
[tex]\mathsf{= \dfrac{494\div2}{12\div2}}[/tex]
[tex]\mathsf{= \dfrac{247}{6}}[/tex]
[tex]\mathsf{\approx 41 \dfrac{1}{6}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{41 \dfrac{1}{6}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Convert \ 12\frac{2}{3} \ to \ an \ improper \ fraction. Use \ this \ rule: a \frac{b}{c}=\frac{ac+b}{c}. \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{12\times3+2}{3}\times3\frac{1}{4} \ \to \ \ Multiply \ 12\times 3 }} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{36+2}{3}\times3\frac{1}{4} \ \to \ \ Add \ 36+2 }} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times3\frac{1}{4} }} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Convert \ 3\frac{1}{4} \ to \ an \ improper \ fraction. Use \ this \ rule: a \frac{b}{c}=\frac{ac+b}{c}. \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{3\times4+1}{4} \ \ \to \ \ Multiply \ 3\times 4}} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{12+1}{4} \ \ \to \ \ Add \ 12+1}} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38}{3}\times\frac{13}{4}}} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule:\frac{a}{b}\times\frac{c}{d}=\frac{ac}{bd}. \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{38\times13}{3\times4} \ \ \to \ \ Multiply }} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Simplify \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{492}{12}=\frac{247}{6}= }} \end{gathered}$}\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{41\frac{1}{6} }} \end{gathered}$}}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Therefore,the \ \bf{\underline{correct \ option}} \end{gathered}$}\large\displaystyle\text{$\begin{gathered}\sf is \ \bf{\underline{"D"}.} \end{gathered}$}[/tex]
Related Questions
(-4x^2+3xy-y^2)/-(-7x^2-xy+6y^2)/(x^2+4xy-2y^2)
Answers
-4x^2+3xy-y^2 by -(-7x^2-xy+6y^2)=7x^2+xy-6y^2 using long division, getting
-4/7
_____________________
7x^2+xy-6y^2 -4x^2+3xy-y^2
- (-4x^2-4xy/7-24y^2/7)
__________________
25xy/7+31y^2/7
Since we can't do anything at this point, we do
-4/7+(25xy/7+31y^2/7)/(7x^2+xy-6y^2)
At this point, we can divide this by
(x^2+4xy-2y^2), resulting in
(-4/7+((25xy/7+31y^2/7)/(7x^2+xy-6y^2)))/((x^2+4xy-2y^2)). After that, we can't use long division since the numerator's top x exponent is 1.
Answer:
7x+x^-16x+
Step-by-step explanation:
An architect is designing a house in which a 104-square-foot room and a 130-square-foot room share a wall. What is the greatest possible integer length of the shared wall?
Answers
After a 5% sale discount, the price of an item became $38.00. What was the original price?
Answers
x = 38/.95
x = 40
Hope this helped!
how much more is 3/8 gallon than 1/4 gallon?
Answers
1/4 = 2/8
3/8-2/8 =1/8
Julia is a measuring a table for her room. The area of the tables 46 7/8 square feet. The length of the table is 7 1/2 feet. Julia does not want to purchase a table that is greater than 6 feet wide. Should she purchase the table? why or why not
Answers
Table max area = 46 7/8 ft
Table length= 7 1/2 ft
Using area formula, the calculation for maximal width would be:
length * max width = max area
7 1/2 ft * max width = 46 7/8 ft
max width = 46.875/ 7.5 = 6.25ft
The answer to this question would be yes, she can buy a table with more than 6 ft width. But it should not more than 6.25ft width
Which lists these numbers in order from least to greatest?
–14.6, 159, 1.07, –1.295, 24.6
A.
1.07, –14.6, 159, 24.6, –1.295
B.
1.07, –1.295, –14.6, 24.6, 159
C.
–1.295, –14.6, 1.07, 24.6, 159
D.
–14.6, –1.295, 1.07, 24.6, 159
Answers
The correct answer is option D –14.6, –1.295, 1.07, 24.6, 159.
Given numbers: –14.6, 159, 1.07, –1.295, 24.6.
To order the numbers from least to greatest, we consider their values:
–14.6 (negative and smallest)–1.295 (negative and larger than –14.6)1.07 (positive and the smallest positive number in this list)24.6 (positive and larger than 1.07)159 (positive and largest)so,Order from least to greatest is:
–14.6–1.2951.0724.6159The correct answer is option D –14.6, –1.295, 1.07, 24.6, 159.
Is 500 an underestimate or overestimate for the product of 12 and 53
Answers
The number 500 is underestimate for the product of 12 and 53.
We need check whether 500 an underestimate or overestimate for the product of 12 and 53.
What is product of numbers?The product of two numbers is the result you get when you multiply them together.
Now, the product of 12 and 53 is 12 × 53 = 636
An underestimate is an estimate that is less than the actual answer to a problem.
So, the number is underestimated.
Therefore, the number 500 is underestimate for the product of 12 and 53.
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Find the H.C.F of the following expression 39x^7y^3z and 91 x^5y^6z^z7
Answers
od x^7 and x^5 its x^5
of y^3 and y^6 its y^3
and of z and z^7 its z
So the HCF is 13x^5y^3z Answer.
13x⁵y³z is the HCF of two given expressions.
What is the highest common factor?The HCF (Highest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The HCF or GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder.
The given expressions are 39x⁷y³z and 91x⁵y⁶z⁷.
Here, the numbers 39 and 91 divisible by 13.
The factor x⁵y³z can divide both the expressions
So, HCF of two given expressions is 13x⁵y³z
Therefore, the HCF is 13x⁵y³z.
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Number c is really difficult
Answers
9-2y+2y+4=24
Combine like terms
13=24
Because the result is false, it is no solution.
workout 3(-a + 2a - 4)= -5
Answers
3(-a)+3(2a)-3(4)=-5
-3a+6a-12=-5
+12 +12
-3a+6a= 3a
3a=7
--- ---
3 3
a=2.3
Which value of c would make the following expression completely factored?
8x + cy
a. 2
b. 7
c. 12
d. 16
Answers
For c = 7, the expression 8x + cy is completely factored.
The correct answer is an option (b)
What is an expression?"It is a mathematical statement with a minimum two numbers or variables and at least one mathematical operation. "
For given example,
We have been given an expression 8x + cy
We need to find the value of c that would make the given expression completely factored.
For c = 2,
⇒ 8x + cy
= 8x + 2y
= 2(4x + y) ..............(Factor out common term)
This means c = 2 is not the required value.
For c = 12,
⇒ 8x + cy
= 8x + 12y
= 4(2x + 3y) ..............(Factor out common term)
This means c = 12 is not the required value.
For c = 16,
⇒ 8x + cy
= 8x + 16y
= 8(x + 2y) ..............(Factor out common term)
This means c = 16 is not the required value.
For c = 7,
⇒ 8x + cy
= 8x + 7y, which is completely factored
This means c = 7 is the required value of c.
Therefore, for c = 7, the expression 8x + cy is completely factored.
The correct answer is an option (b)
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Is 16.6 a whole number, lnteger number, or a rational number
Answers
16.6 is a rational number
A rational number is a number that can be expressed as a ratio or a fraction of two integers
Examples of rational numbers are [tex]\frac{3}{7}[/tex], [tex]\frac{1}{2}[/tex]
16.6 can be expressed as [tex]16\frac{6}{10}[/tex] 0r [tex]16\frac{3}{5}[/tex]
An integer is a number without fractions or decimals
For example, integers are 2, 3, 0 - 1000
A whole number is a number that is a positive integer. It does not include negative numbers, fractions or decimals.
Examples are 1, 2, 10
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Tom has a can of paint that covers 37 1/2 square meters. Each board on the fence has an area of 3/16 square meters. How many boards can he paint?
Answers
Which statements include two quantities in the real world that are additive inverses?
Select each correct answer.
Juana drove 25 miles east and then drove 25 miles west.
An elevator goes up 10 stories and then goes down 10 stories.
A chlorine ion has 17 positively charged protons and 18 negatively charged electrons.
Daniela opens a bank account and then deposits $200.
Answers
A & B for sure! Hope this helps!!
What's a name for 7 over 8
Answers
hope this helps
What is 12-(3-1/2)? I NEED ASAP!! THANK YOU
Answers
9.5 because when you subtract 3-1/2 you get 2 1/2 and then you multiply by 12 and get 36 1/2
Help!! what is -2r-1= -11
Answers
So here you want to group all like terms onto either side.
So you can first do this by getting rid of the -1 by adding 1 instead.
-2r -1 + 1 = -11 + 1
-2r = -10
And then now you can just divide both sides by -2.
-2r = -10
/-2 /-2
r = 5
+1 +1
-2r= -10
r=5
Add or subtract.write each sum or difference in simplest form.
11. 3/8 + 5/24
12. 1/20 + 5/12
13. 9/20 - 1/4
14. 9/10 - 3/14
15. 3 3/8 + 5/12
16. 5 7/10 - 5/18
Answers
#12 9/20-1/4=9/20-5/20=4/20=
Which is a correct classification for the triangle?
Answers
what is 11.4 divided by 19
Answers
Sasha hikes into a canyon. She takes a break at the rest stations every 2/3 of a mile. If she started at sea level and has hiked down to the fourth rest station, what is Sasha’s elevation now? Select all that apply.
a. -8/3
b. -4 2/3
c. 14/3
d. 2 2/3
e 4/3
Answers
Answer:
a. -8/3 miles below sea level.
Step-by-step explanation:
Sasha started at sea level and has hiked down to the fourth rest station.
Now sea level is 0.
Sasha takes a break at the rest stations every 2/3 of a mile.
This means she is down to 4 rest points means 4 times 2/3
This becomes = [tex]4\times(\frac{2}{3} )=\frac{8}{3}[/tex]
But the answer will be in negative as she is below 0.
So, correct answer is: a. -8/3 miles below sea level.
Shasha's elevation at the fourth rest station is 2 2/3
Position of rest station = 2/3 of a mile
Sea level = 0
The 4th rest station will be located at :
4 × 2/3 = 8/3
Therefore, the position of the fourth rest station from Shasha's starting position is (0 + 8/3) = 8/3
Since, she's hiking upward her position will be 8/3 = 2 2/3
Therefore, Shasha's elevation is
[tex]2 \frac{2}{3} [/tex]
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149 x 5 multiply using partial products
Answers
How many pieces of cake have you and your 3 friends eaten out of1/2 of an eaten cake?
Answers
Two integers, a and b, have a product of 24. What is the least possible sum of a and b?
Answers
1+24=25
2+12=14
3+8=11
4+6=10
What is the mode of the following data set
Answers
Hello There!
Mode: Number that occurs most often in a set of numbers
-The mode would be 3-
The number 3 is the only number that occurs 5 times in the set of data. No other numbers appear more than that so our mode is 3.
Diane and Nancy split a bill of 58.40 plus a 15% tip how much did each person pay
Answers
58.40×.15= 8.76
58.40+8.76= 67.16
67.16/2= 33.58
Answer:$33.58
Dylan is using the Distributive Property to simplify 6 x (9 + 4). Find his mistake and correct it.
Answers
54+24
78
78 is your final answer.
can -60 be a fraction?
Answers
-60 in this case can be made into a fraction by simply putting it over 1. So -60/1 would be it as a fraction.
What is the surface area of 3x3x1?
Answers
The surface area of a 3x3x1 rectangular prism is calculated using the formula Surface Area (SA) = 2(lw + lh + wh), resulting in a total surface area of 30 cm².
Explanation:The surface area of a rectangular prism with dimensions 3x3x1 can be calculated using the formula for surface area of a cube, which is slightly modified for a rectangular prism. The formula is Surface Area (SA) = 2(lw + lh + wh), where 'l' is the length, 'w' is the width, and 'h' is the height of the prism. In this case, the length (l), width (w), and height (h) are 3 cm, 3 cm, and 1 cm respectively.
To calculate the SA:
Multiply the length and width: 3 cm × 3 cm = 9 cm².Multiply the length and height: 3 cm × 1 cm = 3 cm².Multiply the width and height: 3 cm × 1 cm = 3 cm².Sum these areas and multiply by 2: (9 cm² + 3 cm² + 3 cm²) × 2 = 30 cm².The surface area of the 3x3x1 rectangular prism is thus 30 cm².
The surface area of a 3x3x1 cube is 54 square units.
Explanation:To find the surface area of a 3x3x1 cube, we need to calculate the total area of all its faces.
Since the cube has six faces that are all identical squares, we can find the surface area by multiplying the length of one side of the square by itself, and then multiplying that result by 6.
Surface Area = 6 x (3 x 3)
= 6 x 9
= 54
Therefore, the surface area of a 3x3x1 cube is 54 square units.
A segment measures 10 units. One end of the segment has an endpoint at three, -6. What is another possible in point to this segment
Answers
add or subtract 10 from x or y to get points 10 away
3-10=-7 so a point is (-7,-6)
3+10=13 so a point is (13,-6)
-6-10=-16 so a point is (3,-16)
-6+10=4 so a point is (3,4)
those are 4 out of inifnite points that we can get that are 10 units from (3,-6)
the points are (x,y) such that they satisfy the following equation:
[tex](x-3)^2+(y+6)^2=10^2[/tex]