Jerome can save an amount of R33377.27 per month which is the larger amount.
What is Ratio?A ratio is a quantitative or qualitative connection between two things: "On the building site, the male-to-female ratio was 10 to one." This indicates there were 10 males and one lady present.
Here
He earns R52450 per month
He separated his earnings in a ratio 7: 4
If he saves a larger amount, then the required solution would be as:
⇒ 52450 × 7/(7+4)
⇒ 52450 × 7/11
Apply the multiplication operation, and we get the amount of savings:
⇒ 33377.27
Therefore, he can save an amount of R33377.27 per month.
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The point P(4,4) is reflected over the line x=5. What are the coordinates of the resulting point, P'?
Answer: 64juu5
Step-by-step explanation:
your gay
Tarea
Lección 37. Técnicas para multiplicar decimales
1. Con un compañero, resuelvan con calculadora, los siguientes productos. Des-
pués, analicen los resultados y redacten una técnica para multiplicar dos núme-
ros decimales.
3 x 15 =
Secuencia 11
0.3 x 15 =
3 x 0.015 =
0.03 x 15 =
3 x 1.5 =
3 x 0.15 =
0.3 x 1.5 =
0.3 x 0.15 =
Para multiplicar dos números con punto decimal sin usar la calculadora, se pue-
de hacer lo siguiente:
The values are 45, 4.5, 0.45, and 0.045.
What are numbers?Numbers are representations of quantity or quality.
We have many types of numbers such as,
- Decimal numbers
- Real numbers
- Rational numbers
- Irrational numbers
- Complex numbers
- Even numbers
- Odd numbers
- Whole numbers
We have,
We need to multiply the numbers without using a calculator.
The steps to multiply two decimal numbers without using a calculator.
Step 1:
Ignore the decimal points and multiply the two numbers as if they were whole numbers.
Step 2:
Count the total number of digits to the right of the decimal points in both numbers.
Step 3:
Add the number of digits from step 2, and place the decimal point in the product so that it has that many digits to the right.
Now,
3 x 15 =45
0.3 x 15 = 4.5
3 x 0.015 = 0.045
0.03 x 15 = 0.45
3 x 1.5 = 4.5
3 x 0.15 = 0.45
0.3 x 1.5 = 0.45
0.3 x 0.15 = 0.045
Thus,
The values are 45, 4.5, 0.45, and 0.045.
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The complete question.
Multiply the two decimal numbers without using a calculator,
3 x 15
0.3 x 15
3 x 0.015
0.03 x 15
3 x 1.5
3 x 0.15
0.3 x 1.5
0.3 x 0.15
Help solve this problem
Answer:
Step-by-step explanation:
∠1+∠2= 25+52=77° ⇒ 1
∠4=180-103=77
∴∠4=∠1+∠2
What are the zeros of the polynomial Y=(x+3)(x-2)?
Answer:
The zeros of the polynomial are -3 and 2
Step-by-step explanation:
The zeros are where the polynomial crosses the x-axis
The radius of a semicircle is 2 millimeters. What is the semicircle's perimeter?
Answer:
required perimeter is 12.57mm
The diameter of a cylindrical water tank is 13 ft, and its height is 17 ft. What is the volume of the tank?
Use the value 3.14 for I, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
13 ft
17 ft
ft ft²
X
1/4 An airplane travels 125 miles inhour. It travels the same number of miles each hour. How many miles does the plane travel in 5 hours?
The plane travels 2500 miles in 5 hours. The solution has been obtained by using unitary method.
What is the unitary method?
Using the unitary technique, the value of each individual unit is first calculated, and then the value of the necessary number of units is determined.
We are given that an airplane travels 125 miles in 1/4 hour. It travels the same number of miles each hour.
Using unitary method,
The miles traveled in 1 hour = 125 * 4 = 500 miles
So, the miles traveled in 5 hours = 500 * 5 = 2500 miles
Hence, the plane travels 2500 miles in 5 hours.
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Question: An airplane travels 125 miles in 1/4 hour. It travels the same number of miles each hour. How many miles does the plane travel in 5 hours?
find the critical value that corresponds to the confidence level %.
The critical value, zα/2, that corresponds to a 87% confidence level is approximately 1.514.
The critical value, zα/2, is the z-score that cuts off an area of α/2 in the tails of the standard normal distribution. In other words, it represents the number of standard deviations away from the mean that corresponds to a particular level of confidence.
To find the critical value for a 87% confidence level, we first need to determine the area that is left in the tails of the distribution. Since the confidence level is 87%, the area in the middle of the distribution is (1 - 0.87) = 0.13. We then divide this area in half to get the area in each tail, which is 0.065.
Using a standard normal distribution table or a calculator, we can find that the z-score that cuts off an area of 0.065 in one tail is approximately 1.514. Therefore, the critical value, zα/2, is:
zα/2 = ±1.514
However, since we want to find the z-score that corresponds to the middle 87% of the distribution, we need to add the absolute value of this number to the mean of the distribution, which is 0. This gives us:
zα/2 = |1.514| = 1.514
Therefore, the critical value, zα/2, that corresponds to a 87% confidence level is approximately 1.514
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--The question is incomplete, answering to the question below--
"Find the critical value, zα/2 that corresponds to the given confidence level 87%"
Please help!!! I’m really confused and need help
Answer: I’m pretty sure it’s c
Step-by-step explanation:
A delivery driver makes 12 deliveries in 3 hours.
How many deliveries can he make in 5 hours?
Answer:
Step-by-step explanation:
as the driver makes 12 delivery in 3 hrs so the driver makes 12/3 delivery in 1 hr that is 4 delivery in 1 hour so he makes 5*4= 20 delivery in 5 hours
If ΔABC≅ΔDEF, then what corresponding side is congruent to side BA? (Enter your answer using the segment letters only.)
If the triangles ΔABC≅ΔDEF then the congruent to side BA is ED.
What are congruent triangles?The dimensions of the sides and angles of two or more triangles determine whether they are congruent. A triangle's size and shape are determined by its three sides and three angles, respectively. If pairs of corresponding sides and corresponding angles are equal, two triangles are said to be congruent. They are the exact same size and form. Triangles can satisfy a wide variety of congruence requirements.
From the ΔABC ≅ ΔDEF we observe that the corresponding segment to BA in triangle DEF is ED.
Hence, if the triangles ΔABC≅ΔDEF then the congruent to side BA is ED.
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What is an example of a histogram?
The example of histogram is dataset of exam scores of 100 students, with scores ranging from 50 to 100
A histogram is a graphical representation of the distribution of a dataset. It is a way to visualize the frequency distribution of a set of continuous or discrete data. Here's an example of a histogram:
Suppose we have a dataset of exam scores of 100 students, with scores ranging from 50 to 100. We can create a histogram to visualize the distribution of scores. The histogram will have a vertical axis representing the frequency of scores and a horizontal axis representing the range of scores. We can divide the horizontal axis into equal intervals, called bins, and count the number of scores falling into each bin.
The histogram is shown in the figure
In this example, the histogram shows that most students scored between 70 and 80, with a few students scoring below 60 and above 90.
The histogram also shows that the distribution of scores is roughly symmetrical, with no outliers.
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Are all isosceles triangles always similar?
No, not all isosceles triangles are always similar. Two triangles are considered similar if their corresponding angles are congruent and their corresponding sides are in proportion. While all equilateral triangles are also isosceles triangles, not all isosceles triangles have congruent angles and proportional sides.
Any triangle with any two sides that have the same length is known as an isosceles triangle. An isosceles triangle has two equal-sized angles that are opposite from one other and have equal sides. Triangles are three-sided polygons in geometry that can be divided into three groups based on their sides, such as:
Scalene triangle (All three sides are unequal)Isosceles triangle (Only two sides are equal)Equilateral triangle (All three sides are equal)For example, consider an isosceles triangle with base angles of 70 degrees and a third angle of 40 degrees, and another isosceles triangle with base angles of 80 degrees and a third angle of 20 degrees. These triangles have different angles and are therefore not similar, even though they are both isosceles triangles.
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Triangle VWX is dilated by a scale factor of 2/3 to form triangle V’W’X’. What is the measure of side WX?
Answer:
WX = 18
Step-by-step explanation:
given Δ V'W'X' is [tex]\frac{2}{3}[/tex] of Δ VWX , then the sides of Δ VWX are [tex]\frac{3}{2}[/tex] of Δ V'W'X'
WX = [tex]\frac{3}{2}[/tex] × W'X' = [tex]\frac{3}{2}[/tex] × 12 = 3 × 6 = 18
Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E.
How many ways can this be done, if the order of the choices is relevant?
There are 20 ways to choose 2 letters from the set A, B, C, D, and E if the order of the choices is relevant
If the order of the choices is relevant, we are looking for the number of permutations of 2 letters chosen from a set of 5 letters. We can use the permutation formula to calculate this:
nPr = n! / (n - r)!
where n is the total number of items in the set (5 letters in this case), and r is the number of items we want to choose (2 letters in this case).
nPr = 5! / (5 - 2)!
nPr = 5! / 3!
nPr = 5 x 4 x 3 x 2 x 1 / (3 x 2 x 1)
Divide the numbers
nPr = 20
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If Silverton had a population growth formula of P = 2,500 - e.⁰²t, what will the population be in 6 years? A. 2,819 B. 2,678 C. 2,945 D. 3,627
the population will be 2 678
can the tangent constraint be applied between a line and an arc?
Yes, the tangent constraint can be applied between a line and an arc in many CAD (Computer-Aided Design) software programs.
In CAD, a tangent constraint is a geometric constraint that forces two entities (lines, arcs, circles, etc.) to share a common tangent at their point of contact. When you apply a tangent constraint between a line and an arc, the software will ensure that the line and the arc are always tangent to each other at their point of intersection.
This constraint is useful for designing mechanical components, such as gears or cams, where you need to ensure that the contact between two parts is smooth and continuous. It is also commonly used in architecture, where a building's curved surfaces may need to be tangent to adjacent straight lines or walls.
In short, the tangent constraint can be applied between a line and an arc, and it is a useful tool in many different fields of design.
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Determine if the columns of the matrix form linearly independent set_ Justify your answer ~4 Select the correct choice below and fill in the answer box within your choice_ (Type an integer or simplified fraction for each matrix element ) If A is the given matrix then the augmented matrix presents the equation Ax = The reduced echelon form of this matrix indicates that Ax = 0 has more than one solution. Therefore the columns of _ form linearly independent set_ If A is the given matrix, then the augmented matrix represents the equation Ax = The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore, the columns of A form linearly independent set_ If A is the given matrix then the augmented matrix presents the equation Ax = The reduced echelon form of this matrix indicates that Ax = 0 has more than one solution. Therefore the columns of A do not form linearly independent set_ If A is the given matrix, then the augmented matrix represents the equation Ax =0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore the columns of _ do not form linearly independent set_
The correct choice is: If A is the given matrix then the augmented matrix presents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore the columns of A do not form linearly independent set.
To determine if the columns of the matrix form a linearly independent set, we can perform row reduction on the matrix and examine the resulting reduced row echelon form.
The given matrix is:
[0 3 9]
[2 -7 -1]
[1 -4 -2]
[0 3 9]
[2 -7 -1]
[1 -4 -2]
R2 = R2 - 2R1
R3 = R3 - R1
[0 3 9]
[2 -7 -1]
[1 -4 -2]
R2 = R2 + 7/3 R3
[0 3 9]
[2 0 20/3]
[1 -4 -2]
R1 = R1 - 3/2 R2
R3 = R3 + 4R2
[0 3 0]
[2 0 20/3]
[1 0 2/3]
R1 = R1 / 3
R2 = R2 / 2
R3 = R3 / 3
[0 1 0]
[1 0 10/9]
[1 0 2/9]
The resulting reduced row echelon form shows that the third column is a linear combination of the first and second columns. Specifically, column 3 can be expressed as:
(2/9)*column 1 + (10/9)*column 2 = column 3
Since the third column can be expressed as a linear combination of the first and second columns, the columns of the matrix do not form a linearly independent set.
Therefore, the correct choice is:
If A is the given matrix then the augmented matrix presents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore the columns of A do not form linearly independent set.
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select the graph of y=2sin(pi/2x)-1
Answer:
The correct graph is D
where are the most densely populated areas of japan with over 1000 people per kilometer?
Furthermore, Tokyo Metropolis had the highest population density among Japan's prefectures, with 6,402.6 people per square kilometer. This one was nearly 18.9 times greater than that of the state median (338.2 persons per square kilometer). In 2020, Japan had 12 cities with an inhabitants of one thousand or maybe more.
What is the world's biggest and densetly populated Japanese island?
It is home to approximately 104 million people (2010), or more than 80% of the Japanese population. Honshu is the most highly populated island (429 people per km2) along with the most economically prosperous nation on the island.
Which two towns are situated in Japan's most densely populated areas?
Osaka, Kobe, and Kyoto make up Japan's most highly populated region, with each capital of a prefecture. This region is commonly referred to as the Kansai region.
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PICK ONE OPTION SHOW WORK PLEASE.
Using the recursive formula we will see that:
f(2) = 5
How to find the second term of the sequence?Here we have a sequence such that we know that:
f(0) = 2
And the recursive formula is:
f(n + 1) = -2*f(n) + 3
So, first let's find f(1), to get that we use n = 0.
f(1) = -2*f(0) + 3
= -2*2 + 3 = -4 + 3 = -1
And the next term is:
f(2) = -2*f(1) + 3
= -2*-1 + 3
= 2 + 3 = 5
Then the correct option is the third one.
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A cylinder shaped dispenser holds 5,652 cubic centimeters of liquid soap and is now full. the radius of the dispenser is 7.5 centimeters. what is the difference between the height of the soap in the full dispenser and the height when 4,239 cubic centimeters of soap remains in the dispenser? use 3.14 for pi. enter your answer in the box.
The height difference in the dispenser before and after the use of the dispenser is found to be 8cm.
The shape of the dispenser is 5652 cubic centimeters and it is full of the liquid soap. The radius of the dispenser is given to be 7.5 centimeter.
Now, after using, the dispenser is left with 4239 cubic centimeters.
Now, we know the volume of the cylinder is given to be,
V = πR²H
R is radius and H is the height.
When the dispenser is full,
5652 = 3.14(7.5)²H
H = 32 cm.
Now, after the use let us say that the height is h,
4239 = 3.14(7.5)²h
h = 24cm.
Now, the height difference is H-h.
= 32-24
= 8 cm.
So, the height difference is 8 cm in the dispenser.
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What is the conversion of 26 c to fahrenheit ?
The conversion of 26 Celsius to Fahrenheit is 78.8.
Celsius and Fahrenheit are two scales used to measure temperature.
Celsius, also known as the centigrade scale, is a temperature scale where the freezing point of water is 0 degrees Celsius and the boiling point of water is 100 degrees Celsius at standard atmospheric pressure.
To convert Celsius to Fahrenheit, you can use the following formula:
°F = (°C x 9/5) + 32
where °C is the temperature in Celsius and °F is the temperature in Fahrenheit.
Substituting the value of 26 °C in the formula, we get:
°F = (26 x 9/5) + 32
°F = (46.8) + 32
°F = 78.8
Therefore, 26°C is equivalent to 78.8°F in Fahrenheit.
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Correct Question :
What is the conversion of 26 Celsius to Fahrenheit ?
Find the area of a circle whose center is at (2, 2) and goes through the point (8, 2)
The area of the circle is 113.04 square units.
How to find the area of the circle?The area of a circle of radius R is given by:
A = π*R²
Where π = 3.14
Here we know that the center is at (2, 2) and the point (8, 2) is on the circle, then the radius is:
R = √( (2 - 2)² + (8 - 2)²)
R = 6
Then the area of the circle is:
A = 3.14*(6)² = 113.04 square units.
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Properties of Operations
Use your knowledge of properties of operations to fill in the blanks.
HELP PLEASE
Using distributive property, the expression 55x+5 can be written as 5(11x+1).
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Expression Property Equivalent expression
3(2+x) Distributive 6+3x
2+(3+4) Associative (2+3)+4
24x+18y Distributive 8(3x+y)
4x+5x Commutative 5x+4x
5+2+3 Commutative 3+2+5
(5x.3y).2 Associative 5x.(3y.2)
12-3x Distributive 3(4-x)
6+3 Commutative 3+6
(2x.3y).5z Associative 2x(3y.5z)
4(5-2y) Distributive 20-8y
y+0 Identity y
a.b Commutative b.a
3x.1 Identity 3x
(a+b)+c Associative a+(b+c)
55x+5 Distributive 5(11x+1)
8(y-2) Distributive 8y-16
2x+5y Commutative 5y+2x
Therefore, using distributive property, the expression 55x+5 can be written as 5(11x+1).
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What is a heart shaped mathematical curve?
A heart-shaped mathematical curve is a cardioid (picture is attached below).
In the mathematical branch of geometry, we can use certain equations, etc. to create a heart-shaped mathematical curve which is called a cardioid. Its name has been derived from the greek word kardiá which literally translates to heart.
It can be described as a plane curve that is drawn by a point on the perimeter of a circle and this circle is rolling around a fixed circle that has a similar radius. It is also described as an epicycloid having a single cusp. The equation (a+x)^(a-x) can be used to make a cardioid.
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how to convert 145 kg to lbs?
The value of measuring mass 145 kilograms to pounds after conversion as per standard measurements is equal to kilograms 319.7 pounds ( round off to one decimal )
Kilograms and pounds are the units which used to measure the mass of the given body.Kilograms and pounds are related in standard form as given below :
1 kilograms = 2.20462 pounds ___(1)
Substitute the value 145 kilograms in (1) for the conversion into pounds form we have :
⇒ ( 145 ) kilograms = ( 145 multiply to 2.20462 ) pounds
⇒ 145 kilograms = 319.67 pounds
Finally ,
145 kilograms = 319.7 pounds ( round off to one decimal )
Therefore, after conversion the given unit of mass kilograms into pounds is 145 kilograms = 319.7 pounds ( round off to one decimal ).
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Please help!!! I’m really confused and need help
Answer:
B
Step-by-step explanation:
Rate of change states
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
They are asking from day 2 to day 5, making 2 and 5 our x1 and x2.
On the table, the number below 2 is 0.75. The number below 5 is 2.5. We can use these as y1 and y2.
Now we can plug it in
[tex] \frac{2.5 - 0.75}{5 - 2} = \frac{1.75}{3} = .58 = 0.6[/tex]
0.6 because it asks for approximate
A survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books.
Book Preference
Print Electronic Total
Youths 27 40 67
Adults 29 27 56
Total 56 67 123
What percent of the adults surveyed prefer reading electronic books? Round your answer to the nearest tenth of a percent.
Percentage
48.21% approximately 50%
We got the answer by dividing the number of adults that read electronic books by the total adults
27/56 = 0.4821
we then multiply by 100 to get the percentage of needed. this gives us a decimal
48.21
which when rounded off to the nearest tenth is 50%
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Mind helping me out with this math question thank uui
Answer:
-5(g -3h +5)
Step-by-step explanation:
You want the factored form of -5g +15h -25.
Negative factorThe coefficient of g inside parentheses is 1, so the coefficient of g in the given expression (-5) must be the factor outside parentheses. You can divide the expression by this value to find the desired numbers:
[tex]-5g+15h-25=-5\left(\dfrac{-5g+15h-25}{-5}\right)=-5\left(\dfrac{-5}{-5}g+\dfrac{15}{-5}h+\dfrac{-25}{-5}\right)\\\\=\boxed{-5(g-3h+5)}[/tex]