9 divided by 11.91 rounded to the nearest hundredth is: 0.76
How to divide numbers?To show that two numbers are divided, we can add a division sign '÷' between them. So, for example, if we have to show 36 divided by 6, we can write it as 36 ÷ 6. We can also show it in a fraction form as 36/6.
We want to find 9 divided by 11.91 . Thus, this can be expressed as:
9/11.91
where:
9 is the dividend
11.91 is the divisor
Using calculator, we have:
9/11.91 = 0.76
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A bag contains 8 red marbles, 2 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue?
Answer:
it's roughly 82% or for simplicity 9/11
The perimeter of a rectangular backyard is 192 feet. The yard is 43 feet wide. How long is it?
Answer:
53 feet.
Step-by-step explanation:
2(Width)+2(Length)=Perimeter
--> 2(43)+2(Length)=192
--> 86+2(Length)=192
--> 2(Length)=106
Length = 53
ABCD is a kite, find the value of y
Answer:
All triangles add to 180 degrees.
180 = 90 + 40 + angle ABX
angle ABX = 180 - 90 - 40
Angle y = 50
Step-by-step explanation:
Which statement best summarizes the relationship between investments and productivity?
A. Companies with high levels of productivity are the most likely to need investment.
B. Companies must choose between high levels of productivity and large investments. C. Companies use investments to pay for services that improve their productivity.
D. Companies use investments to avoid the need to increase overall productivity.
The relationship between investments and productivity is that investments can help improve productivity, which is the correct option (C).
What are investments?Investments can be used to acquire new equipment, hire additional workers, or implement new technologies that can enhance a company's productivity.
In general, corporations' major source of revenue is productivity, which is the economic outcome of the company's specific operations, such as the sale of a certain product, the rental of a certain item, the supply of a certain service, and so on.
By investing in these areas, companies can improve their efficiency, reduce costs, and increase output.
Therefore, the relationship between investments and productivity is that investments can help improve productivity.
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Adrian is walking along the edge of a circular pool. The distance from one end of the pool to the other and through its center is
24 feet
What distance, rounded to the nearest hundredth of a foot, did Adrian cover to complete one lap of the pool by walking along its
edge?
O A
452.39 feet
ов.
37.70 feet
Ос.
75.40 feet
OD
150.80 feet
Answer:
b
Step-by-step explanation:
Simplify the expression. negative 15 plus the quantity negative 1 and six tenths plus 9 and 34 hundredths end quantity divided by 6 all times 3 squared minus 5 and 7 tenths −4.125 −9.09 −12.96 129.09
The simplified expression in mathematical form is -45.36.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The expression given is -
(-15 + (-1.6 + 9.34) / 6) × (3² - 5.7)
Simplifying the terms inside the parentheses first, we get -
(-15 + 7.74 / 6) × (9 - 5.7)
Next, we simplify 7.74 / 6 by dividing the numerator by the denominator -
(-15 + 1.29) × (9 - 5.7)
We add -15 and 1.29 inside the first set of parentheses -
(-13.71) × (9 - 5.7)
We subtract 5.7 from 9 inside the second set of parentheses -
(-13.71) × 3.3
Multiplying these two terms, we get -
-45.363 ≈ -45.36
Therefore, the value is obtained as -45.36.
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For the given corporate bond, whose annual simple interest rate is provided, find the semiannual simple interest
payment and the total interest earned over the life of the bond. Assume 365 days in a year.
$4900 Company A, 30-year bond, 6.268%
Answer:
the semiannual interest payment is $153.77 and the total interest earned over the life of the bond is $9,226.20.
Step-by-step explanation:
To find the semiannual simple interest payment, we need to divide the annual interest rate by 2, since there are 2 semiannual periods in a year:
Semiannual interest rate = Annual interest rate / 2
= 6.268% / 2
= 3.134%
To find the semiannual interest payment, we multiply the face value of the bond by the semiannual interest rate:
Semiannual interest payment = Face value x Semiannual interest rate
= $4900 x 3.134%
= $153.77 (rounded to two decimal places)
To find the total interest earned over the life of the bond, we need to multiply the semiannual interest payment by the number of semiannual periods in the bond's life. Since the bond has a 30-year term and 2 semiannual periods in a year, the bond has a total of 60 semiannual periods:
Total interest earned = Semiannual interest payment x Number of semiannual periods
= $153.77 x 60
= $9,226.20 (rounded to two decimal places)
Therefore, the semiannual interest payment is $153.77 and the total interest earned over the life of the bond is $9,226.20.
Which point would NOT be a solution to the system of linear inequalities shown below?
It's asking would not be a solution soo
(-10, -9) as you can see
You're welcome thank me later
Which expression is equivalent to ºd ?
O ata
O o-a
og
90
O
Answer:
As by the picture, qp is the correct answer.
Step-by-step explanation:
Both are multiplication and in multiplication you can swap the factors and get the same answer every time.
Which of the following statements are true? Select all that apply.
Answer:
a and c
Step-by-step explanation:
Answer:
a and d are true
Step-by-step explanation:
a train is moving at a speed of 50 kilometers per hour. how long will it take to cover a distance of 550 kilometers?
Answer:
11 hours
Step-by-step explanation:
The graph shows Jill's walk home from school.
Distance
Time
Which statement best describes the graph?
A) Jill walked home very slowly.
B) Jill started walking, sat down for a rest and then continued
walking
C) Jill started walking, took a rest, walked some more and rested
again.
D) Jill walked and then ran walked more and then ran more.
Answer:
Step-by-step explanation:
The answer is B because the distance was the same for a while
A private resort installed 2 additional triangular pools, as an added attraction to their clients. Triangular pool ABC is congruent with the triangular pool PQR. Two sides of triangular pool ABC and PQR measures 56 ft. and 60ft. ,while the third side of pool ABC measures ( 3x + 2) ft. and pool PQR measures 20ft. How can you evaluate x value?
Using the definition of congruent triangles, the value of x is evaluated as: x = 6.
How to Find the Sides of Congruent Triangles?To find the sides of congruent triangles, note that the corresponding sides of two triangles that are congruent to each other have equal length measurement.
Given that triangular poor ABC and triangular pool PQR are congruent to each other, therefore, their corresponding sides will have the same length.
This means that the third sides of both triangles will be equal, which are:
(3x + 2) = 20
Solve for x:
3x + 2 = 20
3x + 2 - 2 = 20 - 2
3x = 18
3x/3 = 18/3
x = 6
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S={(3,p),(3,0),(4,q),(1,4)}
Answer:
S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:
(3,p): The first element is 3 and the second element is p.
(3,0): The first element is 3 and the second element is 0.
(4,q): The first element is 4 and the second element is q.
(1,4): The first element is 1 and the second element is 4.
A yoghurt brand produces a regular yoghurt
and a low-sugar yoghurt. Adverts for both
yoghurts are shown below.
If the recommended daily allowance of sugar
is 30 g, how much sugar does the low-sugar
yoghurt contain?
Give your answer in grams (g).
Regular yoghurt
Only 7% of your recommended
daily allowance of sugar!
Low-sugar yoghurt
Contains 26% less sugar than
our regular yoghurt!
Reduced
sugar
As a result, 1.554 g of sugar are included in the low-sugar yoghurt as if the low-sugar yoghurt has 26% less sugar.
what is unitary method ?A proportion is put up using a single unit when using a unitary method. For instance, the price of 1 apple is $2/3 if 3 bananas cost $2. The cost among one unit of something like the quantity "apples" is represented by this value of $2/3. In a similar vein, if a car can drive 300 km on 20 litres of gas, how far can it go on one litre of gas? The answer is 15 km (300/20). Finance, science, and engineering are just a few of the fields where the unitary technique can be applied to solve issues.
given
Regular yoghurt contains: If only 7% of the daily required amount of sugar is present in it:
7% of 30 g = \((7/100) * 30 g = 2.1 g\)
This indicates that 2.1 g of sugar are present in ordinary yoghurt.
Hence, if the low-sugar yoghurt has 26% less sugar than the standard yoghurt, it contains:
\(1.554 g = 2.1 g - (26/100) x 2.1 g = 2.1 g - 0.546 g\)
As a result, 1.554 g of sugar are included in the low-sugar yoghurt as if the low-sugar yoghurt has 26% less sugar.
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Which of these numbers is irrational?
✍️Record your work/explanation on your document or paper
Which of these numbers is irrational?
✍️Record your work/explanation on your document or paper
\sqrt{5}
5
\frac{3}{5}
5
3
-3.5
3.\overline{5}3.
5
15x+3x+19= -17 please help me find this answer
Answer:
\({ \rm{15x + 3x + 19 = - 17}} \\ \\ { \rm{18x + 19 = - 17}} \\ \\ { \rm{18x = - 17 - 19}} \\ \\ { \rm{18x = - 36}} \\ \\ { \boxed{ \rm{x = - 2}}}\)
Answer:
x = -2Step-by-step explanation:
15x+3x+19= -17 please help me find this answer
15x+3x+19= -17
18x + 19 = -17
18x = -19 - 17
18x = -36
x = -36 : 18
x = -2
---------------
check
15(-2)+3(-2)+19=-17
-30 - 6 + 19 = -17
-17=-17
the answer is good
Find the following angles
Note that the measure of the listed angles is given as follows:
Where the above figure is a regular quadrilateral, the properties are given as follows:
It has four vertices.It has four sides.The sum of all interior angles is 360°.It has two diagonals.Opposite sides are parallelits diagonals must bisect each other.Since the above is a rectangle, it has 4 right angles and opposite sides are equal.1) Since ∠LKM represents one of the Right Angles, therefore, it is correct to state that m∠KLM is 90°
2) Since ∠LKJ is another Right Angle, and \(\overline{KL}\) ||\(\overline{JM}\), and \(\overline{MK}\) is a diagonal cutting across \(\overline{KL}\) ||\(\overline{JM}\), ∠JKM ≅ ∠LMK
Since ∠JKM = 68°
Thus, ∠LMK = 68°
3) If opposite sides are equal; and
opposite sides are parallel, then the diagonals must bisect each other equally creating triangles that are congruent. Thus, ΔMNL ≅ ΔKNJ.
Given the above, ∠LMK ≅ ∠LJM
since ∠LMK = 68°
m∠LJM = 68°
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An artist makes a hanging sculpture out of rhombus-shaped pieces. Each rhombus shape has diagonals of 3.5 centimeters and 5 centimeters. What is the area of each rhombus? 4.25 cm2 8.5 cm2 8.75 cm2 17.5 cm2
The area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)
To find the area of each rhombus, we can use the formula for the area of a rhombus:
Area = (diagonal1 × diagonal2) / 2
Given that the diagonals of the rhombus-shaped pieces are 3.5 centimeters and 5 centimeters, we can substitute these values into the formula:
Area = (3.5 cm × 5 cm) / 2
Area = 17.5 \(cm^2\) / 2
Area = 8.75 \(cm^2\)
Therefore, the area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)
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What is the value of X ?
Answer:
26.6
Step-by-step explanation:
because you are multiplying a couple of numbers
The Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a function of the number of miles driven, m
The equation that models the taxi fare F as a function of the number of miles driven is F = 2.40 + 0.40m
What is an equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, the Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile.
The function will be:
F = 2.40 + (0.40 × m)
F = 2.40 + 0.40m
where m = number of miles
F = taxi fare.
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An amount of Birr 500 is deposited in an account at the end of each six-month period with an interest computed at 6% compounded semi-annually. How many years does it take for the amount to reach Birr 56,398.43?
It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.
To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount
P = Principal amount (initial deposit)
r = Annual interest rate (in decimal form)
n = Number of compounding periods per year
t = Number of years
In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.
We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.
Let's substitute the given values into the formula and solve for t:
56,398.43 = 500(1 + 0.06/2)^(2t)
Divide both sides by 500:
112.79686 = (1 + 0.03)^(2t)
Take the natural logarithm of both sides to eliminate the exponent:
ln(112.79686) = ln(1.03)^(2t)
Using the property of logarithms, we can bring down the exponent:
ln(112.79686) = 2t * ln(1.03)
Now, divide both sides by 2 * ln(1.03):
t = ln(112.79686) / (2 * ln(1.03))
Using a calculator, we find t ≈ 17.12.
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The function f(x) = 2x − 1 is transformed to function g through a horizontal shift of 7 units left. What is the equation of function g?
Replace the values of h and k in the equation.
g(x) = 2x+h + k
When the function f is transformed to g, the equation is g(x) = 2x + 14 - 1
How to determine the equation of function g?The equation of function f is given as
f(x) = 2x - 1
The transformation is given as
Horizontal shift of 7 units left.
The above transformation rule can be represented as
Horizontal shift of 7 units left.: (x, y) = (x + 7, y)
When the above rule is applied, we have the following equation
g(x) = f(x + 7)
So, we have
g(x) = 2(x + 7) - 1
Open the brackets
g(x) = 2x + 14 - 1
Hence, the equation of function g is g(x) = 2x + 14 - 1
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Anton joined a golf club. He pays an annual membership fee of $895 and greens fee of $30 each time he plays golf. Last year he paid $2,065 as a total golfing fee. How many games did he play? Write and solve the equation.
how can a translation and a rotation be used to map δhjk to δlmn?
The correct statement regarding how can a translation and a rotation be used to map triangle HJK to triangle LMN is given as follows:
Translate K to N and rotate about K until HK lies on the line containing LN.What are the translation and the rotation?
The translation just changes the position of the figure, hence it has to be among equivalent vertices of the triangles.
The equivalent vertices are given as follows:
H and L.K and N.J and M.The equivalent sides are given as follows:
HK and LN.
Thus the rotation is about K until HK lies on the line containing LN, and the third option is correct.
Missing InformationThe problem is given by the image shown at the end of the answer.
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What is the volume of the cylinder below?
Answer:
c
Step-by-step explanation:
Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 9 percent simple
interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual
interest is 3120 dollars. How much did she invest at each rate?
Amount invested at 3 percent interest is $____
Amount invested at 9 percent interest is $___
Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.
To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.
For the 3 percent interest account:
Interest_3_percent = x × 0.03
For the 9 percent interest account:
Interest_9_percent = 2x × 0.09
We know that the total annual interest is $3120, so we can set up the equation:
Interest_3_percent + Interest_9_percent = 3120
Substituting the above equations, we have:
x × 0.03 + 2x × 0.09 = 3120
Simplifying the equation:
0.03x + 0.18x = 3120
0.21x = 3120
Dividing both sides of the equation by 0.21:
x = 3120 / 0.21
x = 14857.14
Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.
Answer:
Step-by-step explanation:
X is the amount invested at 6%
Y is the amount invested at 9%
0.06X + 0.09Y = 4998
X = 2Y
0.06(2Y) + 0.09Y = 4998
.12Y + 0.09Y = 4998
0.21Y = 4998
21Y = 499800
Y = 499800/21 = 23800
So X = 2*23800 = 47600
$47,600 is invested at 6% and $23800 is invested at 9%
You have $16 and a coupon for a five dollar discount at a local supermarket one bag of hot Cheetos cost 3 dollars how many bag of Cheetos can you buy
The number of Cheetos you can buy in the supermarket is 7.
How to find the number of bag of Cheetos bought?You have $16 and a coupon for a five dollar discount at a local
supermarket . One bag of hot Cheetos cost 3 dollars. Therefore, the
number of bag of Cheetos you can buy can be calculated as follows:
Therefore, altogether he has 16 + 5(coupon discount) = 21 dollars to spend
in the super market.
Therefore,
number of Cheetos worth 3 dollars one can buy = 21 / 3
number of Cheetos worth 3 dollars one can buy = 7
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The function f(x) = 75x + 100 models the cost of renting an event tent, where x is the number of hours and f(x) is the total cost. What is a reasonable domain for the function?
A. x < 0
B. x > 0
C. all real numbers
D. cannot be determined
The reasonable domain for the function is (b) x > 0
What is a reasonable domain for the function?From the question, we have the following parameters that can be used in our computation:
The function f(x) = 75x + 100
Where x is the number of hours
f(x) is the total cost.
In this case, the number of hours cannot be negative or 0
This means that the values of x in the function would be x > 0
These values of x are the domain
So, the reasonable domain for the function os (b) x > 0
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Write the fraction in simplest form.
6/22=?
Answer:
3/11
Step-by-step explanation:
Divide both the numerator and denominator by 2.
\(\dfrac{6}{22}=\dfrac{2*3}{2*11}=\dfrac{3}{11}\)