Answer:
Step-by-step explanation:
One
23 + 52 = 75 This can be done using columns
2 3
5 2 No carries Add.
7 5
Two
72 - 33 = 39
7 2
3 3 You have to borrow a ten from the 7 to make this work
3 9
Three
82 + sqrt(100)
sqrt(100) = 10
82 + 10 = 92
The average price for regular gasoline in Toronto is $1.35 per liter, or L (in Canadian dollars, as of
April 2014).
Part A: The exchange rate between the US and Canada varies continuously. Assume that, in April
2014, the rate was US$ 0.92 for each Canadian dollar. Determine the cost in U.S. dollars (US$) for 1 L
of gasoline in Toronto. Round to the nearest cent.
Hint
$1.35 Canadian = US$
Part B: There are 3.78541 L in 1 gallon (gal). Determine the cost in U.S. dollars (US$) for 1 gal of
gasoline in Toronto. Round to the nearest cent.
Hint
1 gal costs US$
a. $1.35 Canadian dollar will be 124 cents.
b. cost in U.S. dollars (US$) for 1 gal of gasoline in Toronto will be $5.11.
How to calculate the value?A. It should be noted that the rate was US$ 0.92 for each Canadian dollar.
Therefore, $1.35 Canadian dollar will be:
= 1.35 × 0.92
= $1.24 = 124 cents.
B. The cost in U.S. dollars (US$) for 1 gal of gasoline in Toronto will be:
= 3.78541 × 1.35
= $5.11
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Solve for x. (2x+3) (x-6)
Answer: 2x^2 − 9x − 18
Step-by-step explanation:
(2x + 3)(x − 6)
= (2x + 3)(x + −6)
= (2x)(x) + (2x)(−6) + (3)(x) + (3)(−6)
= 2x^2 −12x + 3x − 18
= 2x^2 − 9x − 18
1/4(x-2) +4=12
how do i solve thisssss plssss help it’s for tmr
Answer:
x = 34
Step-by-step explanation:
1/4(x - 2) + 4 = 12
Subtract 4 from both sides.
1/4(x - 2) = 8
Multiply both sides by 4.
x - 2 = 32
Add 2 to both sides.
x = 34
[tex]\bf{\dfrac{1}{4}(x-2)+4=12 }[/tex]
Use the distributive property to multiply 1/4 times x−2.[tex]\bf{\dfrac{1}{4}x+\dfrac{1}{4}(-2)+4=12 }[/tex]
Multiply 1/4 and −2 to get -2/4.[tex]\bf{\dfrac{1}{4}x+\dfrac{-2}{4}+4=12 }[/tex]
Reduce the fraction -2/4 to its minimum expression extracting and canceling 2.[tex]\bf{\dfrac{1}{4}x-\dfrac{1}{2}+4=12 }[/tex]
Convert 4 to the fraction 8/2.[tex]\bf{\dfrac{1}{4}x-\dfrac{1}{2}+\dfrac{8}{2} =12 }[/tex]
Since -1/2 and 8/2 have the same denominator, add their numerators to add them together.[tex]\bf{\dfrac{1}{4}x+\dfrac{-1+8}{2 }=12 \ \ \longmapsto \ \ [Sum \ -1 \ and \ 8] }[/tex]
[tex]\bf{\dfrac{1}{4}x+\dfrac{7}{2 }=12 }[/tex]
Subtract 7/2 from both sides.[tex]\bf{\dfrac{1}{4}x=12-\dfrac{7}{2} }[/tex]
Convert 12 to the fraction 24/2.[tex]\bf{\dfrac{1}{4}x=\dfrac{24}{2}-\dfrac{7}{2} }[/tex]
Since 24/2 and 7/2 have the same denominator, subtract their numerators to subtract them.[tex]\bf{\dfrac{1}{4}x=\dfrac{24-7}{2} \ \ \longmapsto \ \ [Subtract \ 7 \ from \ 24] }[/tex]
[tex]\bf{\dfrac{1}{4}x=\dfrac{17}{2 }[/tex]
Multiply both sides by 4, the reciprocal of 1/4.[tex]\bf{x=\dfrac{17}{2}\times4 \ \longmapsto \ \ x=\dfrac{17\times4}{2} \ \ \ [Multiply \ 17 \ and \ 4.] }[/tex]
[tex]\bf{x=\dfrac{68}{2} \ \ \longmapsto \ \ \ [Split] }[/tex]
[tex]\red{\boxed{\bf{\blue{Answer \ \ \longmapsto \ \ x=34}}}}[/tex]
SkandarThe formula for the area of a circle is shown, where d
is the diameter. A=πd2(exponent is the2) over 4
What is the equation for the diameter d
of a circle in terms of the area A? a: d=4πA. b: d=A4π−−√ c: d=2Aπ−−√. d: d=4π−−√A2
Answer:
Step-by-step explanation:
Roslan had a total of 50$ in 10-cents coins,20- cent coins and 50-cents coins .the value of his 10- cents coins was 30% of the total value of all his coins.the value of his 20-coins wad 28% of the total value of all his coins. what was the value of his 50-cents coins?
The value of 50-cents coins is $21, the value of 10-cents coins is $15 and the value of the 20-cents coins is $14.
Percentage of the number:
Percentage is defined as the a number or ratio that can be expressed as a fraction of 100.
If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
Given,
Roslan had a total of 50$ in 10-cents coins,20- cent coins and 50-cents coins.
The value of his 10- cents coins was 30% of the total value of all his coins.
The value of his 20-cents coins was 28% of the total value of all his coins.
Here we need to find the value of 50-cent coins.
We know that,
Total value = $50
So the value of 10-cent coins
=> 30% × $50 = $15
Then the value of 20-cent coins
=> 28% × $50 = $14
Through the known values of 10-cents and 20-cents we have calculate the value of 50-cents coins as,
=> $50 – $15 – $14 = $21
Therefore, the value of 50-cents coins is $21.
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A zebra runs 600ft per 10 seconds, how many miles per hour does it run?
Answer: 40.91 mph
Step-by-step explanation:
600 ft/10 seconds=
600*6 ft/(10*6) seconds=
3600 ft/60 seconds=
3600 ft/1 minute =
3600*60 ft/(1*60) minute=
216000 ft/60 minutes=
216000 ft/hour=
(216000/5280) miles/hour= 40.91 mph
Please help due soon.
Answer should be l=p-w/2, or c.
Line p has slope of 7/3 line q is pararellel to line p. What is the slope of line q?
The Slope of the line q is 7/3
Given that a line “p” has a slope [tex]\frac{7}{3}[/tex] , another line “q” is given which is parallel to line “p”, and asked the slope of line “q”
Parallel lines:
Parallel lines are two or even more lines that lie on the same plane but never intersect. They are equal in distance and have the same slope.
The slope of parallel lines are equal so, the slope of line “p” is equal to the slope of line “q”
The slope of line “p”=slope of line “q”
Given that the slope of line “P”=[tex]\frac{7}{3}[/tex]
therefore, The slope of the line q is [tex]\frac{7}{3}[/tex]
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When analyzing three linear functions, Bill noticed that they all intersect at the point (10,10). What conclusion can Bill come to about the linear function with the largest slope?
a. It has the highest y-intercept.
b. It has the middle y-intercept.
c. It has the lowest y-intercept.
d. Bill cannot conclude anything.
Error Analysis You and a friend are doing math homework together. You have to solve the equation 5x + 4x - 68 = 34 - 8x. Your friend arrives at the incorrect answer x = -2. Find the correct value of x. Then find the error your friend possibly made. X = What possible error could your friend have made to get x = -2? OA. Your friend should have added 68 to each side of the equation, but instead subtracted 68 from the right side. OB. Your friend should have added 8x to each side of the equation, but instead subtracted 8x from the left side. OC. Your friend should have added 5x and 4x to get a sum of 9x, but instead got a sum of 8x. *
please help. my math teacher is happy with my grade so im trying mu best to get it up. please answer this. it will help alot </3
Answer: x=6
Step-by-step explanation:
[tex]5x+4x-68=34-8x\\\\9x-68=34-8x\\\\9x-68+8x=34-8x+8x\\\\17x-68=34\\\\17x-68+68=34+68\\\\17x=102\\\\Divide \ both \ parts\ of\ the\ equation\ by\ 17:\\\\x=6\\[/tex]
Your friend should have added 68 to each side of the equation, but instead subtracted 68 from the right side.
[tex]17x=34-68\\17x=-34[/tex]
Divide both parts of the equation by 17:
[tex]x=-2[/tex]
-x-12-3 or -62-x-1< need help with this please
Answer is x ≤ - 4
According to the question ,
- 3 ≥ x + 1
rearrange the equation
x + 1 ≤ - 3
x ≤ - 4 {solution of inequality}
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign
While graphing inequalities, we have to keep the following things in mind.
For graphing inequalities with two variables, you will have to plot the "equals" line and then, shade the appropriate area. There are three steps:
Write the equation such as "y" is on the left and everything else on the right.
Plot the "y=" line (draw a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade the region above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
If the endpoint is included (i.e., in case of ≤ or ≥) use a closed circle.
If the endpoint is NOT included (i.e., in case of < or >), use an open circle.
Use open circle at either ∞ or -∞.
Draw a line from the endpoint that extends to the right side if the variable is greater than the number.
Draw a line from the endpoint that extends to the left side if the variable is lesser than the number.
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For Exercises 23 and 24, find the value of x and the measure of each interior angle
If the interior angles in the octagon is (4x-80)°, (4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°,(4x-80)°,(2x+50)°,(2x+50)° then the value of x is equal to 50.
Given that the interior angles in the octagon is (4x-80)°, (4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°,(4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°.
We are required to find the value of x that are used in the angles of the given octagon.
Octagon is the shape that has eight sides,eight vertices,eight angles. Sum of all the interior angles of octagon is equal to 1080°.
(4x-80)°+ (4x-80)°+(2x+50)°+(2x+50)°+(4x-80)°+(4x-80)°+(2x+50)°+(2x+50)°=1080
24x-120=1080
24x=1080+120
24x=1200
x=1200/24
x=50
Hence if the interior angles in the octagon is (4x-80)°, (4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°,(4x-80)°,(2x+50)°,(2x+50)° then the value of x is equal to 50.
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Is the function even, odd, or neither? Explain your reasoning.
Answer:
The function is neither odd, nor even
Step-by-step explanation:
It is because an even function is always symmetrical in respect with the y axis
It is because an odd function is always symmetrical in respect with the origin
In a chi-square test, as the value of the χ2 increases, the likelihood of rejecting the null hypothesis ________.
If the chi-square value is going on English the likelihood of rejecting the null hypothesis also increases because there is a chance that the chi-square value increases more than the significant value that is given in the question. So the required answer is that increases as the required answer.
For example, if, according to Mendel's laws, you expected 10 of 20 offspring from a cross to be male and the actual observed number was 8 males, then you might want to know about the "goodness to fit" between the observed and expected.
Were the deviations (differences between observed and expected) the result of chance, or were they due to other factors? How much deviation can occur before you, the investigator must conclude that something other than chance is at work, causing the observed to differ from the expected.
The chi-square test is always testing what scientists call the null hypothesis, which states that there is no significant difference between the expected and observed result.
The formula for calculating chi-square ( 2) is:
2= (o-e)2/e
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Write an expression for the area of a rectangle if the length is 2x^2-3x+1 and the width is x-2.
The expression for the area of a rectangle is [tex]2x^3-7x^2+6x-2[/tex].
It is given in the question that the length of the rectangle is [tex]2x^2-3x+1[/tex] and width is (x - 2).
We have to find a expression for the area of a rectangle.
We know that,
Area of a rectangle = l * b
Where,
l represents the length of the rectangle
b represents the breadth of the rectangle
Hence, using the data given in the question, we can write,
Area of a rectangle = [tex](2x^2-3x+1)*(x-2)[/tex]
Area of a rectangle = [tex](2x^3)+(-4x^2)+(-3x^2)+(6x)+(-2)[/tex]
Area of a rectangle = [tex]2x^3-7x^2+6x-2[/tex]
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What is 166.44 dived by 4. PLEASE USE LONG DIVISION. The person who USES LONG DIVISION TO GET THE ANSWER GETS 10 points and brainiest.
Answer:
41.61
Step-by-step explanation:
Just divide.
[tex]\begin{matrix}4\overline{|\smallspace166.44}\:\:\:\:\:\:\:\end{matrix}[/tex]
Answer: We have the equation:
166.44 ÷ 4 = 41.610
Calculated to 3 decimal places.
0 4 1. 6 1 0
4 1 6 6. 4 4 0
− 0
1 6
− 1 6
0 6
− 4
2 4
− 2 4
0 4
− 4
0 0
− 0
0
Step-by-step explanation: hope this helps
Quinten has a secret. On the first day of school, he tells his closest friend. On the second day, they each tell the
secret to someone else. Each person that hears the secret shares the secret with a new person each day.
a. How many people will know the secret on the 4th day of school?
On the 4th day of the school, the secret Quinten shared with his closest friend will be known to 16 persons.
What is Geometric progression?
A sequence in which the ratio of any term and its previous term is equal to a fixed constant called common ratio [r] is called geometric progression. For example -
3, 6, 12, 24, ... and so on.
Given that Quinten shares a secret with his friend and each person that hears the secret shares the secret with a new person each day.
On the first day only 2 people know the secret i.e. Quinten and his close friend. Now, they both will tell one new person on second day, which means that by the end of second day four persons will know the secret. Now, these four persons will share with new individual, this gives us a total of 8 persons, who knows the secret by the end of day three and so on.
Now, we get the following sequence -
2, 4, 8, ...... and on.
Now, we can clearly see that -
4/2 = 8/4 = 2
Therefore, this sequence is a geometric progression with common ratio
r = 2.
Assume the 4th term of GP is x. Therefore -
x/8 = 2
x = 16
Therefore, on the 4th day of the school, the secret Quinten shared with his closest friend will be known to 16 persons.
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1) 6х - 4 = 5х - 11 ; ??
2) 0,3( х -2) = 0,6 + 0,2(х+4) ; ??
Answer:
1 ans
Step-by-step explanation:
6x - 4 = 5x-11
6x- 5x = -11+ 4
x = -7
A scale that allows us to rank individuals or objects, but not to say anything about the meaning of the differences between the ranks, is a(n)?
A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.
What is an ordinal scale?An ordinal scale is one that allows us to rank individuals or objects without saying anything about the significance of the differences between the ranks. The ordinal scale is the second level of measurement that reports data ranking and ordering without determining the degree of variation between them. Cases in the same class are regarded as equivalent. Movie ratings, political affiliation, military rank, and other variables that use ordinal scales are examples."Movie ratings" is an example of an ordinal scale. Students in a class, for example, could rate a movie using the scale below.Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.
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The width of a rectangle measures
(t - 9u) centimeters, and its length
measures (4t - 4u) centimeters. Which
expression represents the perimeter, in
centimeters, of the rectangle?
The perimeter of the rectangle can be expressed as 10t - 26u centimeters.
What is perimeter?Perimeter is the total length of the outer boundary of a two-dimensional shape or a three-dimensional space. It is a measure of the length around the outside of an object or a space and is usually expressed in linear units, such as millimeters, centimeters, meters, or kilometers.
The perimeter of a rectangle is the sum of the lengths of all four sides. Since the width and length of the rectangle are given as (t - 9u) centimeters and (4t - 4u) centimeters, respectively, the perimeter of the rectangle can be expressed as:
Perimeter = 2(t - 9u) + 2(4t - 4u)
Perimeter = 2t - 18u + 8t - 8u
Perimeter = 10t - 26u centimeters
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if 52-4x=28, then x=6
6/7 x 2 2/14 please answer my question and tell me how to get the answer
Answer:
90/49
Step-by-step explanation:
you want to convert 2 2/14 into 30/14 (2 x 14 is 28, 28 + 2=30)
reduce 30/14 into 15/7 by dividing by 2
multiply 6 x 15 and 7 x 7
90/49 is the answer and you cannot reduce it so that's the answer
637,982 + 2,819 i need it
Answer: 640801
Step-by-step explanation: Simply add both together, 637,982 plus 2819.
Answer:
637, 982 + 2,819 = 640,801
A square has a vertex at (2,3). Name three other possible vertices of the square.
The three other possible vertices of the square are; (-3, 3), (-3, -2) and (2, -2)
What are the vertices of the square?
We are given the vertex of the square as (2, 3).
Now, it is well known that the sides of a square are equal.
This means that there must be another vertex that will have 3 as its' y-coordinate. Similarly, there will be a different coordinate that will have its' x-coordinate as 2.
Similarly, another 2 points will be reflected over the y-axis to get a negative of the previous two x-values. This also applies to the y-values. Thus, when we combine all these together, we will have the coordinates as; (2, 3), (-3, 3), (-3, -2) and (2, -2)
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To complete bookshelves a customer at your store needs to purchase vertical brackets to attach to the wall the customer wants the shelving to be 9 ft high and 10 ft long the wall brackets come in 48 in and 60-in sections the 48-in sections cost $12.95 each the 60-in sections cost $16.95 each the brackets should be 1 ft from each end and no more than 24 inches apart what will be the total cost of the brackets before tax
The total cost of the brackets before tax = $89.70
Height = 9 feet
length = 10 feet
Wall brackets come in 48-in cost $12.95 and 60-in costing $16.95
Distance of brackets from ends = 1 foot
Maximum distance between brackets = 24 inches
The brackets are:
48/12= 4feet, and 60/12 = 5feet
One of each must be used to cover the height of the shelf.
The length of the shelf is 60 inches
On subtracting 1 foot from each side of the allowance we get, 60-2 = 58-in
Then dividing by 24 we get
58/24 ≈3
The Total cost = (12.95 + 16.95)×3
= $89.70
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What is the output of the following command, given that value1 = 2.0 and value2 = 12
if value1 = 2.0 and value2 = 12, then the output of a following command = 24.0
The correct option is A.
Briefing:The output of the given document is issued is 24.0 (2.0 * 12=24, i.e., it is simply the multiplication operation) if both values, i.e., value 1 and value 2, are taken into consideration as decimal data type values.
A simple data type is what, exactly?There is only one value represented by simple data types. Integer: a basic data type used in the creation of policies. A positive or negative whole number is represented by the integer data type. 0, 1, 2, 3, and 4 are examples of integers.
Why do we employ data types?An attribute of data that instructs a computer system how to interpret its value is called the data type. Knowing the different types of data makes it possible to collect information in the desired format and ensure that the values of each property are as expected.
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I understand that the question you are looking for is:
What is the output of the following command, given that value1 = 2.0 and value2 = 12? print (value+ value2)
A) 24.0
B) value + value2
C) 24
D) 2.0 + 12
please help me out with 2, 5, 8, 9, 7, and 10!
Considering the condition for a relation to be a function, we have that:
These items represent functions: 2, 5, 9, 10B.These items do not represent functions: 7, 8, 10A.When does a relation represents a function?A graph represents a function if each value of the input is mapped to only one value of the output.
When does a graph represents a function?A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.
Hence:
The table in item 2 represents a function, as each value of x is mapped to only one value of y.The relation in item 5 represents a function, as each value of x is mapped to only one value of y.The table in item 7 does not represent a function, as the input -4 is mapped to two outputs, -2 and 2.The relation in item 8 does not represent a function, as the input 1 is mapped to two outputs, -1 and 1.The graph in item 9 represents a function, as it has no vertically aligned points.The table A in item 10 does not represent a function, as the input -9 is mapped to multiple(four) outputs.The table B in item 10 represents a function, as each value of x is mapped to only one value of y.More can be learned about relations and functions at https://brainly.com/question/12463448
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15/16 as a decimal rounded to the nearest hundred
Answer:
0.9375 or 0.94
It cannot be rounder to the nearest hundred, but it can be rounded to the nearest hundredth
You also could've just gone and searched 15/16. T-T
The decimal 15/16 is a decimal rounded to the nearest hundred will be 0.9375.
Decimal consists of two parts whole number and a fraction part. They are separated by a term called decimal.
Example = 532.11
we know that 15/16 is a fraction, so we divide 15/16 on dividing it we will get,
[tex]\frac{15}{16}[/tex] = [tex]\frac{9735}{1000}[/tex]
= [tex]0.9375[/tex]
On rounding to the nearest hundred we get 0.9375.
since it is asked for a hundred place not for the hundredth place so value will remain the same.
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The mass of Earth in Kilograms is about 6 x 10 to the 24 power, and the mass of the moon is about 7 x 10 to the 22 power. What is the sum of the masses of earth and its moon
The sum of the masses of earth and its moon is 6.07 * 10^24kg
Sum of scientific valuesScientific values are values expressed in the form A * 10^n
where
A is any value between 1 and 10
n is any integer
Given the following
Mass of earth = 6 *10^24kg
Mass of moon. = 7 *10^22kg
Take the sum
Sum = 600 * 10^22 + 7 * 10^22
Sum = 607 * 10^22
Sum = 6.07 * 10^24
Hence the sum of the masses of earth and its moon is 6.07 * 10^24kg
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Hi I need help solving and graphing this. Both in interval and set builder notation as well 4<2y+6<10
Answer:
Step-by-step explanation:
