If 3.485 ÷ 5.1 is written in long division form as so that the divisor is written as a whole number, where should the decimal point be placed in the dividend
Translate into a numerical expression
The product of fifteen and negative three decreased by twelve.
The sum of three cubed and four.
After translating words to numerical form, it is equal to 135.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the value provided in the question,
Product of 15 and another number.
Another number is negative 3 decreased by 12 which means that (12 - 3) = 9
Product in numeric form = 15 × 9 = 135
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You have 12 product displays. Six have 4 shelves and six have 3 shelves. It is store policy to dedicate at least one full shelf to each product. What is the maximum number of products you can have?
Answer: There are 42 products he can have at maximum.
Step-by-step explanation:
Since we have given that
Number of products displays = 12
Number of shelves six products have = 4
Number of shelves six products have = 3
So, total number of shelves first six products have
[tex]6\times 4=24[/tex]
Total number of shelves next six products have
[tex]6\times 3\\\\=18[/tex]
So, the maximum number of products that he can have is given by
[tex]24+18=42[/tex]
Hence, there are 42 products he can have at maximum.
Find the equation of the line in slope-intercept form that passes through (2, 7) and (-1, 5).
Find the value of the variable and YZ if Y is between X and Z. XY= 11, YZ=4c, XZ=83
Answer: The required value of the variable c is 18 and that of YZ is 72.
Step-by-step explanation: Given that Y is in between X and Z, where
XY= 11, YZ=4c and XZ=83.
We are to find the value of the variable c and YZ.
Since the point Y is in between X and Z, so we must have
[tex]XY+YZ=XZ\\\\\Rightarrow 11+4c=83\\\\\Rightarrow 4c=83-11\\\\\Rightarrow 4c=72\\\\\Rightarrow c=\dfrac{72}{4}\\\\\Rightarrow c=18.[/tex]
And,
[tex]YZ=4c=4\times 18=72.[/tex]
Thus, the required value of the variable c is 18 and that of YZ is 72.
The given problem is a segment addition problem in geometry. It can be solved by creating an equation based on the Segment Addition Postulate, simplifying and solving it to find the value of the variable c equal to 18. Substituting this value into the equation for YZ gives a result of 72.
Explanation:The subject of this question is a segment addition problem in geometry. From the given values, we can create an equation based on the Segment Addition Postulate, which states that the length of the whole line segment (XZ in this case) is equal to the sum of the lengths of the two segments it is split into (XY and YZ in this context).
With XZ = 83, XY = 11, and YZ = 4c, the equation becomes XY + YZ = XZ, or 11 + 4c = 83. To solve for the value of the variable c, subtract 11 from both sides, giving 4c = 72. Finally, divide each side by 4 to find that c = 18.
To find the value of YZ, substitute c = 18 back into the YZ equation: YZ = 4c = 4*18 = 72.
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Solve for c.
a(c + b)=d
Just show how I would need to move the equation to solve for c :)
The sum of two consecutive integers is 47. what is the product of these integers?
The two consecutive integers that sum up to 47 are 23 and 24, and their product is 552.
The question involves finding two consecutive integers whose sum is 47 and subsequently determining their product. To solve this, let's denote the smaller integer as n, which means the next consecutive integer will be n + 1. Since the sum is 47, we set up the equation n + (n + 1) = 47.
This simplifies to 2n + 1 = 47. To find the value of n, we subtract 1 from both sides to get 2n = 46, and then divide both sides by 2, yielding n = 23. Therefore, the two consecutive integers are 23 and 24. To find the product of these integers, we multiply them together: 23 imes 24 = 552.
I need help 2/3 - 4/10
PLEASE HELP!!
(x-7)^3 (x+2)^2 (x-13) <0
What is the domain of 2x+5
solve for the 20 points
Answer:
t=4.56
Step-by-step explanation:
t+1.24=5.8
t=4.56
what is the square root of 61 to the nearest integer?
I need help please!!!! Jon buys t shirts online for his friends. the table below shows the cost including the shipping fee. write a verbal description that describes the relationship
solve the equation c²=4
Answer:
c = 2, c = -2
Step-by-step explanation:
The question is asking us to solve the equation [tex]\sf{c^2=4}[/tex].
To solve it, we take the square root of each side. Note that once we do this, we will have 2 solutions.
[tex]\sf{\sqrt{c^2}=\sqrt{4}}[/tex]
[tex]\sf{c=2,c=-2}[/tex]
Therefore, this equation has two solutions, which are c = 2 and c = -2.
what is the midpoint coordinates of segment HX H(13,8) X(-6,-6)
Tony started a blanket business. He purchased a sewing machine and some fabric to get started, and then sold each blanket for the same price. The expression −450+12x represents the profit that Tony has earned based on the number of blankets sold.
Which expression represents the total amount Tony earns from selling blankets?
12x
12
−450+12x
x
The answer is a.
12x
A quadrilateral has angles that measure 125°, 115°, and 65°.
What is the measure of the fourth angle?
What is 12/7 written as a mixed number in simplest form
What is the domain when a function has an imaginary number?
Examine the work shown. Explain the error and find the correct result.
2(4 – 16) – (–30)
2(–12) – (–30)
24 – (–30)
54
The error is in third step where 2(–12) is -24 and not 24 thus the correct result is 6.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now the given expression is,
2(4 – 16) – (–30)
solving the bracket,
2(–12) – (–30)
expanding the bracket we get,
-24 – (–30)
this is the error in the given work where 2(–12)– (–30) = 24– (–30)
Thus open the bracket,
-24 + 30
solving we get,
6
which is the correct answer.
Thus, the error is in third step where 2(–12) is -24 and not 24 thus the correct result is 6.
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please answer all questions thank you.
What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?
(3, 2)
(−3, −2)
(−2, 3)
(−3, 2)
Answer:
(2,-3) changes to (3,2)
A is correct.
Step-by-step explanation:
Given: The point (2, −3) after a counterclockwise rotation of 90° about the origin.
[tex]R_{90\circ}(x,y)\rightarrow (-y,x)[/tex]
Rotation is counterclockwise about origin.
[tex](x,y)\rightarrow (-y,x)[/tex]
We are given coordinate
[tex](2,-3)\rightarrow (3,2)[/tex]
We can see in diagram also. Please see the attachment for rotation.
Hence, (2,-3) changes to (3,2)
Answer:
Point would be (3,2).
Step-by-step explanation:
Given: point (2, −3) after a counterclockwise rotation of 90° about the origin.
To find: What are the coordinates after rotation.
Solution: We have given that point (2, −3).
By transformation rotation 90° (x,y)→→→(-y,x).
Then point (2, −3) would be (-(-3),2) .
Then (3 ,2)
Therefore, Point would be (3,2).
Evaluate. 62+(3⋅4)−24 Enter your answer in the box. plz help mehh someone out there ty
The value of expression 62+(3⋅4)−24 is 50
What is PEMDAS ?
A rule of operations explains the correct order in which math expressions should be evaluated, and we can remember those steps using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Here, the expression is given as 62+(3⋅4)−24 now using PEMDAS rule to solve this expression first by solving under bracket terms 3x4 = 12 and then adding 62 and 12, then subtract it by 24 to get the final answer.
62+(3⋅4)−24
62 + 12 -24
74 - 24
50
Therefore, the value of expression 62+(3⋅4)−24 is 50
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Find the length of LM
Find the common ratio for the following sequence 9,6,4
The common ratio for the sequence is 2/3
Finding the common ratio for the sequenceFrom the question, we have the following parameters that can be used in our computation:
Sequence: 9,6,4
The common ratio for the sequence is calculated using
Ratio = T2/T1
substitute the known values in the above equation, so, we have the following representation
Ratio = 6/9
Evaluate
Ratio = 2/3
Hence, the common ratio is 2/3
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What unit of measure would you use to measure length of piece of paper?
Mary invests £12000 into a savings account. The account pays 1.5% compound interest per year
Answer:
Value of her investment after 2years is £12,362.7
Step-by-step explanation:
The question is incomplete, here is the complete question.
"Mary invests £12000 in a savings account. The account pays 1.5% compound interest per year. Work out the value of her investment after two years"
Using the relationship:
A = P(1+r/100)^n
Where P is the principal = amount invested = £12000
r is the compound interest = 1.5%
n is the time = 2years
A is the amount compounded after n years
A = 12000(1+1.5/100)²
A = 12000(1+0.015)²
A = 12000(1.015)²
A = 12000(1.03)
A = 12362.7
Value of her investment after 2years is £12,362.7
What is the slope of a line that is parallel to the line shown?
Parallel lines have the same slope, so if we find the slope of the line shown, the slope of the line parallel to it will be the same.
To find the slope, we find the rise divided by the run, or the change in x values divided by the change in y values.
slope = m = (y1 - y2)/(x1 - x2) = (3-2)/(0-3) = 1/(-3) = -1/3
Therefore, the slope is -1/3, and so the slope of the parallel line is also -1/3.
Your answer is -1/3.
Hope this helps!
Wastewater is filling barrels at the rate 7 quarts per hour.The recycling facility picks up 25 full barrels each trip, and each barrel hold 48 quarts of wastewater. How many days are between each pickup
25 *48 = 1200 total quarts
1200/7 = 171.43 hours
171.42/24 = 7.14 days
so every 7 days
Is this answer correct? If not what is the correct answer
Answer:
no
Step-by-step explanation: