The percent of change from 9 points to 4 points is approximate -55.6%, indicating a decrease of 55.6%.
What is the Percent of change?
The percent of change is a measure that compares the difference between two values to the original, or initial, value. It is usually expressed as a percentage and indicates how much a value has increased or decreased from its initial value.
To find the percent of change from 9 points to 4 points, we need to first calculate the amount of change, which is the difference between the final value (4 points) and the initial value (9 points):
Amount of change = Final value - Initial value = 4 - 9 = -5
The negative sign indicates a decrease in value.
Next, we can calculate the percent of change using the formula:
Percent change = (Amount of change / Initial value) x 100%
Substituting the values we get:
Percent change = (-5 / 9) x 100% ≈ -55.6%
Hence, the percent of change from 9 points to 4 points is approximate -55.6%, indicating a decrease of 55.6%.
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A support hotline asks callers to stay on the line after they have completed their call to respond
to a short survey.
Smaller metric unit to a larger unit:
6,000 grams
kilograms
6,000 grams is equivalent to 6 kilograms.
How to convert the unitsThe problem is solved by converting the given dimensions from grams to kilograms. The conversion is from a smaller metric unit to a larger metric unit.
A kilogram is a larger unit of measurement for mass or weight compared to a gram.
The prefix kilo in kilogram means 1000, so one kilogram is equal to 1000 grams.
Therefore, to convert from grams to kilograms, you simply divide the number of grams by 1000.
In this case, 6,000 grams divided by 1000 equals 6 kilograms.
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A. 26 square feet
B. 24 square feet
C. 12 square feet
D. 16 square feet
Answer:
The area of the quadrilateral is C: 12 square feet.
Step-by-step explanation:
In the photo, the quadrilateral is divided into two triangles, both having a base length of 4 feet and a height of 3 feet. Therefore, we can find the area of the entire quadrilateral by adding the areas of the two triangles together. Since the triangles have a base length of 4 feet and a height of 3 feet, their individual areas will be [tex]4*3*\frac{1}{2} =12*\frac{1}{2} = 6[/tex] square feet. As there are two triangles, we need to multiply the area of one triangle by 2 to get the total area of the quadrilateral, which would be [tex]6 * 2=12[/tex] square feet. Hence, we can conclude that the correct answer will be C.
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A researcher recorded the number of people in each vehicle that passed through a checkpoint. The table above shows the percent distribution for the 420 vehicles that passed through the checkpoint yesterday morning. How many of the 420 vehicles contained at least 3 people?
*
1 point
Total 105 of the 420 vehicles contained at least 3 people. Therefore , option C is correct.
Given :
percent distribution : 40% , 35% , 15% , 7% , 3%
Vehicles : 420
First, add the percentage of cars containing 3 people, 4 people, and 5 or more people:
15% + 7% + 3% = 25%
Thus, 25% of the cars contained at least 3 people, so use that to calculate the number of cars:
420 × 0.25 = 105 cars.
Hence , Total 105 of the 420 vehicles contained at least 3 people. Therefore , option C is correct.
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Complete question:
A researcher recorded the number of people in each vehicle that passed through a checkpoint. The table above shows the percent distribution for the 420 vehicles that passed through the checkpoint yesterday morning.
How many of the 420 vehicles contained at least 3 people?
A. 42
B. 63
C. 105
D. 315
A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.2%
Answer:
Alright, so we want to know how much that can be earned in one year. So that's going to be 3000. And this is simple interest. So this is one plus 0.011, which equals $3,033. And that's the solution to this exercise.
Answer:
$3,036
Step-by-step explanation:
The new customer can open a money market account. The bank will deposit $3,000 into the account.
The bank will pay 1.2% (0.012) in interest every year. This interest will increase the original amount to $3,036.
Name the relationship
1). Adjacent angle
2). Alternate angles
3). Corresponding angles
4). Vertical angles
5). Supplementary angles
It looks like 1) adjacent angles.
The area of a certain desert (Desert 1) is six times the area of another desert (Desert 2). If the sum of
their areas is 21,000,000 square miles, find the area of each desert.
Area of desert 1 is 18,000,000 square miles and area of desert 2 is 3,000,000 square miles.
What is meant by Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Let A₁ and A₂ be the area of Desert 1 and Desert 2 respectively.
Given,
Area of a Desert 1 is six times the area of Desert 2.
A₁ = 6 A₂
The sum of their areas is 21,000,000 square miles.
A₁ + A₂ = 21,000,000
Substituting A₁ = 6 A₂ in A₁ + A₂ = 21,000,000 ,
6 A₂ + A₂ = 21,000,000
7 A₂ = 21,000,000
A₂ = 21,000,000 / 7
A₂ = 3,000,000 square miles
A₁ = 6 A₂
= 6 × 3,000,000
= 18,000,000 square miles
Hence the areas of each desert is 18,000,000 square miles and 3,000,000 square miles.
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5 Heena and Sudha share Profit & Loss equally. Their capitals were Rs.1,20,000 and Rs. 80,000 respectively. There was also a balance of Rs. 60,000 in General reserve and revaluation gain amounted to
Rs. 15,000. They admit friend Teena with 1/5 share. Teena brings Rs.90,000 as capital. Calculate the
amount of goodwill of the firm.
a) Rs.85,000
b) Rs.1,00,000
c) Rs.20,000
d) None of the above
On solving the provided question, we can say that by unitary method, Total capital of the firm = Rs. 85,000
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
Heena and Sudha share profits and losses equally.
If the capital of Teena is 1/5 of the total capital which is equal to Rs. [tex]90,000[/tex] 1/5 of Total capital = Rs. [tex]90,000[/tex]
Total capital = Rs. 90,000 × 5 = 4,50,000, capital of all partners = Rs. [tex]1,20,000 + Rs. 80,000 + Rs. 90,000 + 60,000 + Rs. 15,000[/tex]
Total capital of all partners = Rs. [tex]3,65,000[/tex]
Total capital of the firm = Rs. [tex]85,000[/tex]
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Find the future value of an annuity due with a monthly payment of $300 at 6% interest compounded
monthly for 10 years.
O $4117.46
O $49163.80
O $49409.62
$52113.63
O $52374.20
O $109,163.80
Answer: The future value of an annuity due with a monthly payment of $300 at 6% interest compounded monthly for 10 years can be calculated using the formula:
FV = PMT * ( ( (1 + r)^n - 1) / r) * (1 + r)
where PMT = $300, r = 6%/12 = 0.05, and n = 10 years * 12 months/year = 120 months.
Substituting these values into the formula, we get:
FV = $300 * ( ( (1 + 0.05)^120 - 1) / 0.05) * (1 + 0.05)
FV = $300 * ( ( 1.05^120 - 1) / 0.05) * 1.05
FV = $300 * ( ( 2.704813829421526 - 1) / 0.05) * 1.05
FV = $300 * ( 1.704813829421526 / 0.05) * 1.05
FV = $300 * 34.09627658843153 * 1.05
FV = $52,113.63
Therefore, the future value of the annuity due is $52,113.63.
Step-by-step explanation:
RECORDING SNEET
Naper is buying fabric to make pillows. At the store, 3 yards of
annel fabric costs $12.60, and 5 feet of fleece fabric costs $8.75.
know the units need to be the same to compare the prices.
suy the length of the flannel fabric to feet.
From unit prices gotten, the price of one feet of annel fabric is cheaper than the price of one feet of fleece fabric.
How to find unit prices?A unit price is defined as the price for one item or measurement, such as a pound, a kilogram, or a pint. This can be used to compare the same type of goods sold in varying weights and amounts.
The parameters are;
3 yards of annel fabric costs $12.60
5 feet of fleece fabric costs $8.75.
From conversion units;
1 yard = 3 feet
Thus;
3 yards = 3 * 3 = 9 ft
Thus;
Unit price of Annel fabric = 12.6/9 = $1.4 per ft
Unit price of fleece fabric = 8.75/5 = $1.75 per ft
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How do we find X and Y?
Step-by-step explanation:
answer is in the picture
Please help me with this please
Answer:
He will need 64 ft of fencing
Step-by-step explanation:
To determine the amount of fencing, we need to find the perimeter.
P = 2 (l+w) where l is the length and w is the width
P = 2(22+10)
P = 2(32)
P = 64
He will need 64 ft of fencing
A group of friends wants to go to the amusement park. They have no more than $295
to spend on parking and admission. Parking is $11.50, and tickets cost $39
person, including tax. Which inequality can be used to determine x, the maximum
number of people who can go to the amusement park?
Answer:
295>_ 39x+11.50
Step-by-step explanation:
the >_ means less than or equal to.
Required information
[The following information applies to the questions displayed below.]
University Car Wash built a deluxe car wash across the street from campus. The new machines cost $219,000 including
installation. The company estimates that the equipment will have a residual value of $19,500. University Car Wash also
estimates it will use the machine for six years or about 12,500 total hours. Actual use per year was as follows:
Year
123456
Hours Used
2,800
1,400
1,500
2,500
2,300
2,000
Answer:
Step-by-step explanation:
Calculate the total hours used: We add up the hours used each year to find the total hours used:
2,800 + 1,400 + 1,500 + 2,500 + 2,300 + 2,000 = 12,500
Calculate the total depreciation: We subtract the residual value from the cost to find the total depreciation:
$219,000 - $19,500 = $199,500
Calculate the annual depreciation expense: We divide the total depreciation by the number of years to find the annual depreciation expense:
$199,500 / 6 = $33,250
Calculate the depreciation expense per hour: We divide the annual depreciation expense by the estimated total hours to find the depreciation expense per hour:
$33,250 / 12,500 = $2.66
So the depreciation expense per hour is $2.66.
Calculate the depreciation expense for each year: We multiply the hours used each year by the depreciation expense per hour to find the depreciation expense for each year:
Year 1: 2,800 * $2.66 = $7,448
Year 2: 1,400 * $2.66 = $3,724
Year 3: 1,500 * $2.66 = $3,990
Year 4: 2,500 * $2.66 = $6,650
Year 5: 2,300 * $2.66 = $6,118
Year 6: 2,000 * $2.66 = $5,320
So the depreciation expense for each year is:
Year 1: $7,448
Year 2: $3,724
Year 3: $3,990
Year 4: $6,650
Year 5: $6,118
Year 6: $5,320
Solve for x Each figure is a trapezoid
The value of x in the trapezoid is 12
How to determine the valueIt is important to note that the properties of a trapezoid are;
Opposite sides of a trapezoid are equalOpposite angles of a trapezoid are equalThe diagonals bisect each other at right angleThe sum of the interior angles is 360 degreesNow, let's equate the angles, we getl
7x + 21 = 105
collect the like terms, we get;
7x = 105 - 21
subtract the like terms
7x = 84
Make 'x' the subject of formula
x = 84/7
Divide the values
x = 12
Hence, the value is 12
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she reads the meter again after one month when they move in 789 units after one month 820 units
The units of water the friends used in one month is 820 units.
How many units of water did the friends use in one month? Meter reading when they moved in = 789 unitsMeter reading after one month of moving in = 820 unitsThe total units of water used as read by the meter = 789 units + 820 units
= 1609 units
Therefore, the friends used a total of 820 units of water.
Complete question:
A water meter shows how many units of water Riya and her friends use.
Riya reads the meter when they move in. It shows 789 units.
She reads the meter again after one month. It reads 820 units.
How many units of water did the friends use in one month?
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Select the correct answer.
Which statement describes the solutions of this equation?
(X/3) + (x-1/x+4) = (x+3/x+4) help please
The statement describes the solutions of this equation is
The Equation have two valid solution and No Extraneous solution.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
x/3 + (x-1)/ (x+ 4)= (x+3)/ (x+4)
Now, simplifying the above Expression
(x² + 4x + 3x - 3) / 3(x+4) = (x+3)/ (x+4)
(x² + 4x + 3x - 3) / 3 = (x+3)
x² + 7x -3 = 3(x+3)
x² + 7x -3 - 3x - 9 = 0
x² + 4x - 12 = 0
Solving the above Quadratic Equation
x² + 6x- 2x - 12 = 0
x(x+6)- 2(x+6)= 0
(x-2)(x+6)= 0
x= 2, -6.
So, the Equation have two valid solution and No Extraneous solution.
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How far did Mai run in her first 30 minutes
For every 3 lemons you buy at a farm stand, the total cost increases by $1.80.
The constant of proportionality is
An equation that relates the total cost y and the number of lemons x is y=____x
Use the equation you wrote to complete the table.
The constant of proportionality is 0.60
The equation is y = $0.60x.
Here is the completed table
Number of lemons Total cost
4 $2.40
7 $4.20
15 $9
18 $10.80
What is the total cost of lemons?Direct variation is when two variables move in the same direction. As the number of lemons bought increases, the total cost increases.
The equation that represents direct variation is:
y = kx
Where:
y = total cost k = constant of proportionality x = number of lemons$1.80 = 3k
k = $1.80 / 3
k = $0.60
y = $0.60x
Total cost of 4 lemons= $0.60 x 4 = $2.40
Total cost of 18 lemons= $0.60 x 18 = $10.80
Number of lemons that cost $4.20 : 4.20 / 0.6 = 7
Number of lemons that cost $9 : 9 / 0.60 = 15
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7. The proof shows that opposite angles of a parallelogram are congruent.
Given: ABCD is a parallelogram with diagonal AC.
Prove: ZBAD ZDCB
Proof:
Statements
ABCD is a parallelogram with diagonal AC.
AB II CD and AD II BC
42 = 23
21 = 24
m22= m23 and m/1 =m24
D
mz1+m22=m24+ m22
m21+ m/2 = m24+ m23
mz1+mz2 = m/BAD
m23+ m24 = m/DCB
m/BAD = m/DCB
ZBAD LDCB
Reasons
Given
Definition of parallelogs
Alternate interior angl
are congruent.
Measures of congru
are equal.
Addition property
Angle addition
Substitution
Angles are c
their measu
What is the missing reason in this partial proof?
?
A. ASA
B. Substitution
C. Angle addition postulate
D. Alternate interior angles are congruent.
The completed two-column table that is used to prove the congruence of ∠BAD and ∠DCB indicates that the missing proof in step 6 of the table is substitution. The correct option is option B
B. Substitution
What are congruent angles?
Congruent angles are angles that have the same measurement,
The two-column table is presented as follows;
[tex]{}[/tex] Statements Reasons
1. ABCD is a parallelogram with diagonal [tex]\overline{AC}[/tex] [tex]{}[/tex] Given
2. [tex]\overline{AB}[/tex]║[tex]\overline{CD}[/tex] and [tex]\overline{AD}[/tex]║[tex]\overline{BC}[/tex] [tex]{}[/tex] Definition of a parallelogram
3. ∠2≅∠3, ∠1≅∠4 [tex]{}[/tex] Alt. int. ∠s are ≅
4. m∠2 = m∠3 and m∠1 = m∠4 [tex]{}[/tex] Measures of ≅ ∠s are =
5. m∠1 + m∠2 = m∠4 + m∠2 [tex]{}[/tex] Addition prop. of equality
6. m∠1 + m∠2 = m∠4 + m∠3[tex]{}[/tex] Substitution
7. m∠1 + m∠2 = m∠BAD [tex]{}[/tex] Angle addition property
m∠3 + m∠4 = m∠DCB
8. m∠BAD = m∠DCB [tex]{}[/tex] Substitution
9. ∠BAD ≅ ∠DCB [tex]{}[/tex] Angles are congruent if [tex]{}[/tex]
[tex]{}[/tex] their measures are the same
The missing reason in the partial proof is therefore; B. Substitution
The abbreviations in the table are expanded as follows;
Alt. int. ∠s are ≅; Alternate interior angles are congruent
Measures of ≅ ∠s are =; Measures of congruent angles are equivalent
Addition prop. of equality; Addition property of equality
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Explain how you would solve negative x = 9 algebraically what inverse operation ?should be used is there an invisible number in front of x ?if so what is it? if not how do you solve this?
The solution to the equation "negative x = 9" is "x = -9". There is no invisible number in front of "x" in this equation.
Solving the equation "negative x = 9" algebraicallyTo solve the equation "negative x = 9" algebraically, we want to isolate the variable "x" on one side of the equation.
First, we notice that "negative x" means "-x", so we can rewrite the equation as:
-x = 9
To isolate "x", we need to perform an inverse operation on both sides of the equation. Since "-x" means the opposite of "x", we need to perform the opposite operation, which is to add "x" to both sides:
-x + x = 9 + x
Simplifying the left-hand side by canceling out the "-x" and "+x", we get:
0 = 9 + x
We can further simplify this equation by subtracting 9 from both sides:
0 - 9 = 9 + x - 9
-9 = x
So the solution to the equation "negative x = 9" is "x = -9".
There is no invisible number in front of "x" in this equation, so we don't need to worry about any additional steps or calculations.
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Solve for x:
-4x + 2(x+4)= -7x- (x + 1)
Answer: x = -3/2
Step-by-step explanation:
-4x + 2(x+4) = -7x - (x+1)
-4x + 2x+8 = -7x -x-1
-2x + 8 = -8x - 1
+2x +2x
8 = -6x - 1
+1 +1
9 = -6x
/-6 /-6
-9/6 = x
-3/2 = x
Multiple Step-Find the value of X.
117
93
(6x+9)
87
The value of x is given as follows:
x = 9.
How to obtain the sum of the interior angle measures?The sum of the interior angle measures of a polygon with n sides is given by the equation presented as follows:
S(n) = 180 x (n - 2).
The figure for this problem has four sides, hence the sum of the internal angle measures is given as follows:
S(4) = 180 x (4 x 2)
S(4) = 360º.
Adding the four angle measures and equaling them to 360º, the value of x is obtained as follows:
117 + 93 + 87 + 6x + 9 = 360
306 + 6x = 360
6x = 54
x = 54/6
x = 9.
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Determine the number of monthly payments of $611.09 that would be required to pay off the loan of $128,000 at 4% interest.
The number of monthly payments required to pay off the loan of $128,000 at 4% interest is 232.48 which is equivalent to approximately 232 payments.
How do we determine the number of monthly payments for the loan?To determine the number of monthly payments required to pay off a loan, you can use the formula for loan amortization: n = (-log(1 - B/A * r)) / log(1 + r)
Where: n = number of monthly payments, A = loan amount ($128,000), B = monthly payment ($611.09), r = monthly interest rate (4% / 12 months = 0.0033)
The number of monthly payments for the loan is plugged and computed as:
n = (-log(1 - $128,000/$611.09 * 0.0033)) / log(1 + 0.0033)
n = (-log(1 - 0.0208)) / log(1.0033)
n = (-log(0.9792)) / log(1.0033)
n = 21.8068 / 0.093984
n = 232.48 payment.
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Solve: 6(x + 5) = -2(x-3)
Answer:
Step-by-step explanation:
6(x+5) = 6x+30
-2(x-3)=-2x+6
6x+30=-2x+6
8x+30=6
8x=-24
x=-3
Answer: x = -3
Step-by-step explanation:
6(x + 5) = -2(x-3)
1. Distribute: 6x + 30 = -2x + 6
2. Add 2 to both sides: 8x + 30 = 6
3. Subtract 30 on both sides: 8x = -24
4. Divide by 8 on both sides: x = -3
Maya had $32. She spent all the money on buying 3 notebooks for x dollars each and 4
packs of index cards for y dollars each. If Maya had bought 5 notebooks and 5 packs of
index cards, she would have been short $18. Which system of equations represents this
situation?
O 3x + 4y = 32 and 5x + 5y = 50
O 3x+4y= 32 and 5x + 5y = 18
O 3x + 4y = 50 and 5x - 5y = 18
O 3x - 4y= 32 and 5x - 5y = 50
The system of equations which represents this
situation is 3x+4y= 32 and 5x + 5y = 18.
The correct answer choice is option B
Which system of equations represents the situation?Amount with Maya = $32
Amount spent on each notebook = x
Number of notebook = 3
Amount spent on each pack of index cards = y
Number of index cards = 4
Maya bought 5 notebooks and 5 packs of
index cards
$18 short = $32 - $18
= $14
3x + 4y = 32
5x + 5y = 14
In conclusion, the system of equation is 3x+4y= 32 and 5x + 5y = 18.
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Find the direction of the sum of
these two vectors:
30.0°
6.00 m
5.00 m
The direction of the sum of the two vectors is along the west direction
How to find the direction of the sum of the two vectorsAssuming vector A is pointing west ward and vector B is pointing eastward
The direction of vector A to the horizontal is negative solved by
= -6 cos 30
= -5.196
Adding both vectors
= vector A + vector B
= -5.196 + 5
= -0.196
Hence the direction is to the west since it is negative
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What is the average rate of change? Problem in the picture
The average rate of change over the interval (-1, 2) is; 3
What is the average rate of change over an interval?The formula for the average rate of change over an interval (a, b) is expressed as;
f'(x) = [f(b) - f(a)]/[b - a]
We want to find the average rate of change over the interval (-1, 2). Thus;
a = -1 and b = 2
Thus;
f(-1) = -4
f(2) = 5
Thus;
f'(x) = (5 - (-4))/(2 - (-1))
f'(x) = 9/3
f'(x) = 3
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Circles and answers please just need help tthank you so mwa
On solving the provided question, we can say that In decimals r = 3.8799 and d = 7.7598
What is decimal?Integer and non-integer numbers are οften expressed using the decimal numeral system. The Hindu-Arabic numeral system has been expanded tο include non-integer values. Decimal notation is the name fοr the method used to represent numbers in the decimal system.
A decimal is a number with a whοle and a fractional component. Decimal numbers, which are in between integers, are used tο express the numerical value οf full and partially whole amounts.
the lengths (in inches) οf the radius and the diameter οf a circle with area 47.25 in'.
Area = πr²
47.25 = 3.14 × r × r
r × r = 15.0541401274
In decimals
r = 3.8799
d = 7.7598
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Let h(x) = (gof)(x)=√x+3
Which of the following could be a possible decomposition of h(x)?
A. f(x)=√x; g(x)=x+3
B. f(x)=x; g(x)=x+3
c. f(x)=x+3; g(x)=√x
D. f(x)=3x; g(x)=√x
Answer:
the correct answer is letter A
