I used the Algebraic Method to solve the questions
The First functions are inverses but the Second set aren't
Ana owns a lot that contains 27 acres and is 972' wide. If she buys an adjacent lot that has the same depth but is only 648' wide, how many total acres of land will she own? select one: a. 18 b. 27 c. 45 d. 52
If Ana owns a lot that contains 27 acres and is 972' wide and if she buys an adjacent lot that has the same depth but is only 648' wide then the total acres of land she will own is c.45
First of all, we convert the acres into square feet.
As 1 acre = 43560 square feet
27 × 43560 = 1176120 square feet
Dividing it with 972' to find the depth of the lot she already owns:
1176120 / 972 = 1210 depth
As the adjacent lot has the same depth, therefore;
1210 × 648 = 784080 square feet
Converting square feet into acres by division;
784080 / 43560 = 18 acres
Now we can calculate the total acres of land she will own by addition;
total acres = 27 acres + 18 acres
total acres = 45 acres
Therefore, the total acres of land she will own is calculated to be 45.
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1, Find the difference
63-93
2, Find the difference
-4-5
3, Find the difference
-156-(-45)
Answer:
63-93=-30
-4-5=-9
-156-(-45)=-111
Step-by-step explanation:
63-93=-30
-4-5=-9
-156-(-45)=-156+45=-111
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what is 345x65 how do you should it
Answer: 22425
Step-by-step explanation: hope this helps!!
Answer:
22425
Step-by-step explanation:
Which of the following is equal to 7^1/4?
A. 4√7
B.√7.4
C. 7^4
D. √7
Answer:
[tex] {7}^{ \frac{1}{4} } = \sqrt[4]{7} [/tex]
The correct answer is A.
The volume of Cube A is 125 cubic inches. The face of Cube B has an area of 121 square inches. Which cube has a
greater side length?
...PLEASE HELPPP
The cube with he greater side length is: cube B.
What is the Volume and Surface Area of a Cube?Volume of a cube = a³
Surface area of a cube = 6a²
Therefore:
Volume of cube A = 125 in.³
125 = a³
√125 = a
a = 5 in.
Side length of Cube A = 5 in.
Surface area of Cube B = 121 in.²
121 = 6a²
√(121/6) = a
√(121/6) = a
10.7 = a
a = 10.7
Side length of cube B = 10.7 in.
Therefore, the cube with he greater side length is: cube B.
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2x-6(x- 3)≥5 solve for x
Answer:
[tex]x \leq \dfrac{13}{4}[/tex]
Step-by-step explanation:
Given inequality:
[tex]2x-6(x-3)\geq 5[/tex]
Expand -6(x - 3):
[tex]\implies 2x-6(x)-6(-3)\geq 5[/tex]
[tex]\implies 2x-6x+18\geq 5[/tex]
Combine like terms 2x - 6x = -4x:
[tex]\implies -4x+18\geq 5[/tex]
Subtract 18 from both sides:
[tex]\implies -4x+18-18\geq 5-18[/tex]
[tex]\implies -4x\geq -13[/tex]
Divide both sides by -1, remembering to reverse the inequality:
[tex]\implies\dfrac{ -4x}{-1}\geq \dfrac{-13}{-1}[/tex]
[tex]\implies 4x\leq 13[/tex]
Divide both sides by 4:
[tex]\implies \dfrac{4x}{4}\leq \dfrac{13}{4}[/tex]
[tex]\implies x \leq \dfrac{13}{4}[/tex]
What is the vertex of the following function?
y=4|x|+1
(4,-1)
(0,1)
(4,1)
(-4,1)
Answer:
(0,1)
Step-by-step explanation:
|x| is minimized when x=0, meaning the vertex is at (0,1).
The equations of four lines are given. Identify which lines are parallel.
Line 1: y=1/2x−6
Line 2: x−2y=−1
Line 3: y=4x+6
Line 4: y+3=1/4(x−6)
Answer:
Line 1 and Line 2 are parallel.
You are solving a measurement problem where the numbers 5.2187 x 10−3, 2.05 x 107, and 3.40 x 103 are multiplied. How many significant digits should the product have?
Answer:
3 because you always know your answer by the smalest number which has a digit of 3
Step-by-step explanation:
1/16 x cubed root of 2
Answer:
0.07874506561 or 0.07875
Step-by-step explanation:
cubed root of 2 = 1.25992104989
or 1.260
Find the length of a segment with endpoint coordinates (2,3) and (8,11)
Answer:
The length is 10.
Step-by-step explanation:
[tex] \sqrt{ {(8 - 2)}^{2} + {(11 - 3)}^{2} } [/tex]
[tex] \sqrt{ {6}^{2} + {8}^{2} } = \sqrt{100} = 10[/tex]
Find each measure.
m∠ JLK
The measure of the major arc JLK will be 206°. Then the correct option is B.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
The measure of the minor arc JK will be 154°.
Then the sum of the major arc and minor arc in a circle is 360°.
Then the major arc JLK will be given as,
JLK + JK = 360°
JLK + 154° = 360°
JLK = 206°
The measure of the major arc JLK will be 206°. Then the correct option is B.
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How much more would $10,000 earn in 3 years compounded daily at 1.33%, than compounded semi-annually at 4.33%? Show formulas used
Answer:
Step-by
You have to determine how much more would $10,000 earn in 3 years compounded daily at 1.33% than compounded semiannually at 4.33%.
The first step is to calculate the final amount for both options. To do so, you have to use the following formula:
Where
A is the accrued amount
P is the principal amount
r is the interest rate expressed as a decimal value
t is the time in years
n is the number of compounding periods per year.
→ First, find the accrued amount for P=$10,000, R=1.33%, and t=3 years.
The account compounds daily,
Currently, you have $80 and your sister has $145. You decide to save six dollars per week of your allowance. Your sister decides to spend her whole allowance plus seven dollars each week. How many weeks will it take for you to have as much money as your sister? Please include an equation.
Answer:
It will take you nearly 11 weeks
Step-by-step explanation:
80+6x = 145
6x = 145-80
6x = 65
x = 65/6 (weeks)
What are the solutions of the following systems? Explain.
b. 4x+y = 6 12x + 3y = 18
What is the equation of the line that passes through the point (4,-3) and has slope 1/2 ?
F. y= (1/2)x+3
G. y= (1/2)x-1
H. y= (1/2)x-5
I. y=x-(1/2)
The equation of the line passing through the point (4 , -3) and has a slope of 1/2 is H. y = (1/2)x - 5.
The equation of a line can be expressed in different forms: standard form, slope-intercept form, and point-slope form
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Given the slope of 1/2 and a point (4 , -3), use the point-slope form to generate the equation of the line by plugging in the values in the equation.
(y - y1) = m(x - x1)
y - -3 = 1/2(x - 4)
y + 3 = (1/2)x - 2
Isolating the variable y in the left side,
y + 3 = (1/2)x - 2
y = (1/2)x - 2 - 3
y = (1/2)x - 5
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Given −47.01 × 6.2, find the product.
Answer:
-291.462
Step-by-step explanation:
My mom is a teacher lol and I have a calculator haha
The red snake is 12 inches long. It is 3 times as long as the green snake. Let n represent the green snake. Which number sentence below will solve for n?
A 3x6 inches = 18 inches
B 12 inches x 3 = 36 inches
C 12 inches divided 3= 4 inches
D 12 inches divided 4 = 3 inches
Answer: Your answer would be C.
Step-by-step explanation:
4 x 3 is 12 so, if you divide the 12 by 3 you will get 4 making C your answer.
In June, the price of a pair of inline skates is $165.
The price changes each of the next 3 months.
Month
June
July
August
September
Price of Skates
= $165
165
165+ (-12) = $_
165 + 2(-12) = $_
165+3(-12) = $_____
b.
Describe the change in the price of the inline skates for
each month.
alf ach ai
c.
The table at the right shows the amount of money you
save each month to buy the inline skates. Do you have
enough money saved to buy the inline skates in August?
September? Explain your reasoning.
June
July
August
September
$35
$55
$45
$18
The change in price of the inline skates for the month of July is $153, August is $141 and September is $129 and using the mathematical operations we conclude that we cannot buy the inline skates after savings in the month of August
As per the question statement, we are supposed to find the change in price of the inline skates when price of the inline skates for the month of June is $165.
Using mathematical operations,
Price In July =165+(-12)=153 dollars
Price In August =165+2(-12)=165-24=141 dollars
Price In September =165+3(-12)=165-36=129 dollars
Also in the second part of question asks that whether we will be able to buy the skates in the month of August if we save $[tex]35[/tex] in June, $[tex]55[/tex] in July, $[tex]45[/tex] in August and $[tex]18[/tex] in September.
Price of Skates in August = $141
Using mathematical operations,
Total savings tlll August =35+55+45=135$dollars
As the savings is less than the price of Skates in August, we CANNOT buy the inline skates in the month of August.
Mathematical operations: Combinations combining of Addition, subtraction, multiplication or division for solving any given situation using the given numbers and equations.To learn more about such question, click on the link given below:
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Write each equation in slope-intercept form. x-2 y+3=1
The slope - intercept form of the equation x-2 y+3=1 is y = x/2 + 1 .
What is slope - intercept form?Simply said, the slope-intercept form is the technique to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible. This form is frequently known as the y = mx + b form.
The slope - intercept form is y = mx + c
The given equation is
x-2 y+3=1
Subtract 3 from both sides,
x - 2y = -2
Divide the whole equation by 2
x/2 - y = -1
Rearrange the equation -
y = x/2 + 1
So the equation in slope-intercept form is y = x/2 + 1 , where slope is 1/2 and c = 1.
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A car gets miles per gallon of gas. It travels for 45 minutes at miles per hour. How many gallons of gas does the car use during that time? Show your work using units and Giant Ones.
Answer:
A car gets 25 miles per gallon of gas. It travels for.45 minutes at 65 miles per hour. How many gallons of gas does the car use during that time?
Answer:
25 miles per gallon of gas
travels 45 minutes and 65 miles per hour
Step-by-step explanation:
Down
Round...
1. 24.263 to the nearest tenth.
3. 341.276 to the nearest hundredth.
5. 299.61 to the nearest whole number.
6. 4,123.499 to the nearest whole number.
7. 5.246 to the nearest hundredth.
Determine whether y varies directly with x . If so, find the constant of variation.
y=12 x
The constant of variation in y = (12) x is (12)
y = kx (Where k is the constant)
Here,
⇒ y = (12) x
So, k = (12)
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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What is the average rate of change, please simplify your answer (PICTURE BELOW)
Answer:
[tex]{ \tt{average \: \triangle = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ [/tex]
x1 is -1; y1 is -3 [from graph (-1, -3)]x2 is 3; y2 is 5 [from graph (3, 5)][tex]{ \tt{ = \frac{5 - ( - 3)}{3 - ( - 1)} }} \\ \\ = { \tt{ \frac{8}{4} }} \\ \\ = 2[/tex]
ABCD is a rectangle. The length of AC is 4x-8, and the length of BD is 2x+10. What is the length of one of its diagonals?
Answer:
28 units
Step-by-step explanation:
• the diagonals of a rectangle are congruent , then
AC = BD , that is
4x - 8 = 2x + 10 ( subtract 2x from both sides )
2x - 8 = 10 ( add 8 to both sides )
2x = 18 ( divide both sides by 2 )
x = 9
Then
BD = 2x + 10 = 2(9) + 10 = 18 + 10 = 28
the diagonals are 28 units long
A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?
Answer:
1/30 of a ton of the rock was left at the construction site
Hope this helps :)
Explanation below.
Step-by-step explanation:
1. Make the same denominators to add them which is 6 (LCM).
1/3 + 1/2
2/3 + 3/6 = 5/6
2. Make the same denominator to subtract them since had to take back 4/5 of a ton. 30 would be the Least Common Multiple of 6 and 5.
5/6 - 4/5
25/30 - 24/30 = 1/30
Identify each sequence as arithmetic, geometric, or neither. Then find the next two terms. 25,50,75,100, ........
The sequence is an arithmetic sequence with d = 25 and the next two terms are 125, 150.
Suppose we are given a sequence: a1, a2, a3, a4, ...
To determine whether the sequence is an arithmetic, geometric, or uncategorized one, we need to check the relation between its consecutive terms.
Arithmetic sequence.
If:
a2 - a1 = a3 - a2 = a4 - a3 = constant
then the given sequence is an arithmetic sequence. Furthermore, the constant d = a2 - a1 is usually called the common difference.
Geometric sequence.
If:
a2/a1 = a3/a2 = a4/a3 = constant
then the given sequence is a geometric sequence. Furthermore, the constant r = a2/a1 is usually called the common ratio.
The given sequence is:
25,50,75,100, ........
Let us check the difference:
50 - 25 = 75 - 50 = 100 - 75 = 25.
We can, then, conclude that the sequence is an arithmetic sequence with d = 25.
To find the next two terms, add 25 to every last terms.
100 + 25 = 125
125 + 25 = 150
Hence the next two terms are: 125, 150.
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a certain book has 396 pages the student has already read 3/8 of the pages and now picks up the book again at time x=0 minutes write the equation that describes the total number of pages of the book read as a function of the number of minutes of further reading. Approximately how much time,in mintues,Will it take to finish reading the book?
The equation that describes the total number of pages of the book read as a function of the number of minutes of further reading is; 2.67x minutes.
The time it will take to finish the whole 396 pages is; 113.3 minutes
How to solve Algebra Word Problems?We are told that the book has 396 pages. Now, the student has read 3/8 of this book.
Thus, number of pages the student has read so far = 3/8 * 396 = 148.5 pages
Now, let the time spent reading these 148.5 pages be x minutes. Thus;
Number of pages read per minute = 148.5/x pages per minute
Number of pages left to finish book = 396 - 148.5 = 247.5 pages
Thus, time to finish remaining pages = 247.5/(149.8/x ) = 1.67x
Thus, time it will take to finish the whole 396 pages = 1.67x + x = 2.67x minutes
The table showing the amount of pages that can be read for specific minutes is attached.
We see that 7 pages are read in two minutes. Thus;
x = (148.5 * 2)/7 = 42.42857 minutes
Thus, time to finish whole book = 2.67 * 42.42857 ≈ 113.3 minutes
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Type the missing number in this sequence:
-1, -3, -9, ___,
-81
Answer:
-27
there is a pattern of x3 every time :)
Write a unit for:25 pounds in 10 weeks
The unit is 2.5 Pounds per week.
What is a unit?A unit of measurement is a definite magnitude of a quantity that is defined and adopted by convention or law and is used as a standard for measuring the same type of quantity. Any other such quantity can be expressed as a multiple of the unit of measurement. A length, for example, is a physical quantity.So, this is a fraction of 25 Pounds in 10 Weeks.
We want a unit rate with a denominator of one, so we divide the top and bottom by ten.
= 25 Pounds ÷ 10 Weeks= 2.5 Pounds ÷ 1 Week = 2.5 Pounds per weekTherefore, the unit is 2.5 Pounds per week.
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