Using integer numbers, it is found that the expressions that will also be integers are given as follows:
1.75kx, in which k is an integer.
What are integer numbers?Integer numbers are numbers that have a decimal part of zero, that is, they are whole numbers, either positive or negative.
In the context of this problem, the relevant property is that the multiplication of two integer numbers will always result in an integer number.
We have that the term 1.75x represents an integer number, hence any integer number multiplying 1.75x will result in an integer number.
Symbolically, any integer number can be represented by the variable k, hence the expressions that will also be integers are given as follows:
1.75kx, in which k is an integer.
What is the missing information?This problem could not be found on any search engine, hence the expression is given in general terms.
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Which expression shows the result of applying the distributive property to 3 (1/5x - 1/7)
The expression used to show the distributive property is 3/5 x - 3/7 .
The examples that follow show how to apply the distributive law towards the set of real numbers R.
Usually, this kind of multiplication is intended when the word "multiplication" is used in elementary mathematicsFrom an algebraic standpoint, real numbers are a field, ensuring the distributive law's applicability. Real numbers are a field in algebra, guaranteeing the applicability of the distributive law.The distributive principle of binary operations generalizes the distributive law, which asserts that equality holds throughout mathematicsThe law states that p·(q + r) = (p · q) + (q · r).Now the given expression is 3 (1/5x - 1/7)
Therefore it can be broken down into smaller parts by using the distributive property.
therefore:
3 (1/5x - 1/7)
=3×(1/5x) - 3×(1/7)
=3/5x - 3/7
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Need help asap, worth 20 points
Answer:
2
Step-by-step explanation:
Please help me with this problem!
The measure of the angle indicated is as follows:
m∠S = 39°How to find angles?The measure of the angle indicated can be found using exterior angle theorem. The exterior angle theorem states that If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
Therefore,
m∠S + m∠T = 129
m∠S = -3 + 6x
m∠T = 11x + 13
Therefore,
129 = - 3 + 6x + 11x + 13
129 = - 3 + 13 + 6x + 11x
129 = 10 + 17x
129 - 10 = 17x
119 = 17x
x = 119 / 17
x = 7
Therefore,
m∠S = - 3 + 6(7) = -3 + 42 = 39°
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PLEASE RESPOND THIS IS DUE TMR
Giorgio fills up his car which is 60 liters.
After a certain distance, 340 deciliters remained in the tank.
How many liters did it consume?
How much did you spend if 1 liter costs € 1.45? How many liters of petrol can you buy for € 58?
My book has the answer but not step by step explanation
[ 26 liters; €37,70; 40 liters ]
The amount of litres he consume is 26 litres.
He spent a total of €37,70 for 26 litres.
He can buy 40 litres of petrol for € 58
How to find the number of litres the car consume and the cost?He fills up his car which is 60 litres.
After a certain distance, 340 decilitres remained in the tank.
Therefore, we have to convert the amount of gas remaining in the car to litres.
Hence,
1 decilitres = 0.1 litres
340 decilitres = ?
cross multiply
amount of petrol remaining in the car = 0.1 × 340
amount of petrol remaining in the car = 34 litres
Therefore,
amount of litres consumed = 60 - 34 = 26 litres.
Let's find the cost he spent if 1 litre cost € 1.45.
1 litre = € 1.45
26 litres = ?
amount spent = 26 × 1.45
amount spent = € 37.70
Let's find how many litres of petrol he can buy for € 58.
€ 1.45 = 1 litre
€ 58 = ?
cross multiply
number of litres he can buy with € 58 = 58 / 1.45
Therefore,
number of litres he can buy with € 58 = 40 litres.
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Using Pythagoras’ theorem or trigonometric ratios
If x = a/b (with a ≠ b and b ≠ 0), then express a+b/a-b in terms of x.
Using the properties of ratio and proportion we can find the value as [tex]\frac{x+1}{x-1}[/tex] .
A theorem built on the idea of proportions enables a computation procedure that is speedier and requires fewer expansions.
When working with rational functions or fractional equations, it is helpful. Use the componendo and dividendo rule to study ratios and proportions. If the ratio of any two provided numbers is the same as the ratio of the other two numbers, then the ratios of the sum of the denominator and numerator to the difference of the denominator and numerator of the two rational numbers are comparable in nature.The given ratio is of the form x = a /b
This can be written in the form of
[tex]\frac{x}{1} = \frac{a}{b}[/tex]
Now we have to find the value of [tex]\frac{a+b}{a-b}[/tex].
Using the componendo and dividendo rule we get:
Adding the denominator to the numerator to get the new numerator and subtracting the denominator from the numerator to get the new denominator.
Mathematically:
[tex]\frac{a+b}{a-b} = \frac{x+1}{x-1}[/tex]
Therefore this is the required result.
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The stemplot below represents the distribution of math test scores for aninth-grade algebra course. What was the highest score received?
Explanation
We are given the stemplot below:
We are required to determine the highest score received.
A stemplot can be interpreted as follows:
With the illustration above, we can pair the stem and leaf of the stemplot given to determine that the highest score is 100.
Option B is correct. The answer is 100.
On June 6, Regina purchases a multimedia computer system with a "Ninety DaysSame as Cash Plan." By what date must she pay the total purchase price?
If the balance must be paid in 90 days and the initial date is June 6, then there are 24 days untill June 30, plus 31 days for July makes 61 days. There are 29 days left, therefore, teh payment must be done on August 29.
Jane and Abigail measured the lengths of their bedrooms. Jane's was 11.75 feet and Abigail's was 14.5 feet. How much longer was Abigail's room?
Abigail's room is 2.75 feet longer than Jane's
How to determine how much longer is the length?The lengths of the rooms are given as
Length of Jane's room = 11.75 feet
Length of Abigail's room = 14.5 feet
The length where the length of Abigail's room is greater or longer than Jane's is calculated using
Length = Length of Abigail's room - Length of Jane's room
Substitute the known values in the above equation
So, we have
Length = 14.5 feet - 11.75 feet
Evaluate the difference
Length = 2.75 feet
Hence, the length is 2.75 feet longer
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What is a polynomial with more than 3 terms read with
A polynomial more than 3 terms is read as trinomial.
What is polynomial?A polynomial is an equation that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.
Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials.
hence, a polynomial more than 3 is trinomial or cubic.
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52.5% in fraction form
Answer: 105/2
Step-by-step explanation:
52.5 as a Fraction
52.5 = (?)
= (52.5/1) x (10/10)
= 525/10
= (105 x 5)/(2 x 5)
= 105/2
52.5 = 105/2
draw a picture to solve. Mandi has 8 dog biscuits. She has 7 dog bowls. Each dog bowl gets the same number of dog biscuits. How many dog biscuits are in each bowl?
If Mandi has 8 dog biscuits, she has 7 dog bowls and each dog bowl gets the same number of dog biscuits, then the number of dog biscuits in each bowl is 1.14 biscuits
Number of dog biscuits that Mandi has = 8 dog biscuits
Number of dog bowls that Mandi has = 7 dog bowls
Each dog bowl get the same number of dog biscuits.
To find the number of dog biscuits in each bowl we have to do the division
Number of dog biscuits in each bowl = Number of dog biscuits that Mandi has ÷ Number of dog bowls that Mandi has
Substitute the values in the equation
= 8/7
= 1.14 biscuits
Hence, if Mandi has 8 dog biscuits, she has 7 dog bowls and each dog bowl gets the same number of dog biscuits, then the number of dog biscuits in each bowl is 1.14 biscuits
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Use the iterative rule to find the 5th term in the sequence:
an = 4x3n-1
972
243
324
81
Answer:
324
Step-by-step explanation:
1) substitute the 5 into the formula
n=5 [tex]a_{n}=4[/tex]×[tex]3^{5-1}[/tex]
2) simplify
5-1 = 4
[tex]3^4[/tex] = 81
4×81 = 324
Hope this helps, have a great day!
Answer:
5th term = 324
Step-by-step explanation:
[tex]a_n \: = \: 4 \: \cdot \: {3}^{n - 1} [/tex]
Where, n = 5
[tex]a_5 \: = \: 4 \: \cdot \: {3}^{5 - 1} [/tex]
[tex]a_5 \: = 4 \: \cdot \: {3}^{4} [/tex]
[tex]a_5 \: = 4 \: \cdot \: 81[/tex]
[tex]a_5 \: = \: 324[/tex]
The perimeter of a square can be found using the equation P=4A√, where A represents the area of the square. If the square has a perimeter of 56 inches, what is the area of the square? Responses 28 square inches 28 square inches 14−−√ inches square root of 14 inches 7 inches 7 inches 196 square inches
The area of square is 196 square inches which is the last option.
Perimeter of square
The perimeter of a square is the distance covered by its four sides. Perimeter surrounds or outlines the shape in a two-dimensional plane.
Given that:-
Perimeter of square = 56 inches
The perimeter of a square can be found using the equation :
[tex]P=4\sqrt{A}[/tex]
Where, A is the area of the square and,
P is the perimeter of the square.
We have to find the area of the square.
Using the given data to find the area of the square, we get,
[tex]56 = 4\sqrt{A}\\\\ \frac{56}{4}=\sqrt{A}\\\\ 14=\sqrt{A}\\\\[/tex]
Squaring the equation, we get,
A = 196 square inches.
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Elena has 6,492 stickers in her collection. She wants to put them into a book. She can fit 12 stickers on each page. How many pages will she need? (2 points)
541
553
545
549
Answer:
541
Step-by-step explanation:
Divide 6492 by 12
6492/12=541
how to do 475x64????
A student is trying to solve the system of two equations given below:
Equation P: y + z = 6
Equation Q: 8y + 7z = 1
Which of the following is a possible step used in eliminating the y-term?
The possible step used in eliminating the y-term in Equation P: y + z = 6 Equation Q: 8y + 7z = 1 is (y + z = 6) * (−8)
The two equations are :
Equation P: y + z = 6
Equation Q: 8y + 7z = 1
What is simultaneous linear equation?Simultaneous linear equations are the system of two linear equations in two or three variables that are solved together to find a common solution.
A system of simultaneous linear equations is any set of two or more linear equations that share the same unknown variables. Finding values for the unknown variables that simultaneously satisfy all of the equations is required to solve such a system.
Two linear equations in two variables together are known as simultaneous linear equations.
The solution of the system of simultaneous linear equations is the ordered pair (x, y) that satisfies both linear equations.
Based on the given conditions,
Equation P: y + z = 6 ( Equation-1 )
Equation Q: 8y + 7z = 1 ( Equation-2 )
To solve the above simultaneous linear equation multiply the equation-1 with (-8)
So,
We can write,
⇒ ( y + z = 6 ) * (-8)
-8y - 8z = -48 ( Equation-3 )
Now add Equation (3) with Equation (2)
Then,
-8y - 8z = -48
8y + 7z = 1
----------------------------
-z = -47
z = 47
Therefore,
The expression ( y + z = 6 ) * (-8) is a possible step used in eliminating the y-term.
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Lisa is on a trip of 4,178 miles. She has already traveled 154 miles. She has 8 days left in her trip. How many miles does she need to travel each day to complete the trip?
Answer:
is 2000:4 because they Miles se divide en 150
TEXT ANSWER
Question 8
Point M is the midpoint of PQ. The coordinates of P and M are given below.
M(5,-2) and P(11, - 10)
Based on this information, what are the coordinates of ?
Show all work and provide any necessary descriptions.
Answer:
Q (- 1, 6 )
Step-by-step explanation:
use the midpoint formula to find the coordinates of M then equate the x and y coordinates with the actual coordinates of M
P (11, - 10) and let Q = (x, y ) , then
[tex]\frac{11+x}{2}[/tex] = 5 ( multiply both sides by 2 )
11 + x = 10 ( subtract 11 from both sides )
x = - 1
and
[tex]\frac{-10+y}{2}[/tex] = - 2 ( multiply both sides by 2 )
- 10 + y = - 4 ( add 10 to both sides )
y = 6
coordinates of Q = (- 1, 6 )
Solve the equation for x. 2x+y = 7
PLEASE PLEASE HELP
Answer:
x = (7/2) - (y/2)
Step-by-step explanation:
In triangle ABC, let the angle bisectors be BY and CZ. Given AB = 8, AY = 6, and CY = 3, find BZ.
The length of the segment BZ is approximately 2.78
The above value is obtained by using the following process:
The given parameters of the triangle are;
The angle bisectors of the triangle = BY and CZ
The point at which BY and CZ meet = The point I
The length of CY = 4
The length of AY = 6
The length of AB = 8
The unknown parameter;
The length of the segment BZ
Method:
Apply the angle bisector theorem
According to the angle bisector theorem we have;
AY/CY = AB/BC
BZ/AZ = BC/AC
From AY/CY = AB/BC, we get;
6/4 = 8/BC
6 × BC = 8 × 4 = 32
BC = 32/6 = 16/3 = 5.33
BC = 5.33
From BZ/AZ = BC/AC, we have;
AC = CY + AY
∴ AC = 4 + 6 = 10
AZ = AB - BZ
∴ AZ = 8 - BZ
Therefore;
BZ/8 - BZ = 5.33/10
10 × BZ = ×(8 - BZ) = (16/3) × 8 - (16/3)·BZ
10·BZ + (16/3)·BZ = (16/3) × 8
(46/3)·BZ = 128/3
BZ = 128/46 = 64/23
Length of the line BZ = 64/23 = 2 ≈ 2.78
Therefore, the length of the segment BZ is approximately 2.78.
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The school athletic director has a storage closet that is 4 and 1/2 ft long and 2 and 2/3 ft deep and 6 ft tall she wants to put carpet in the closet how much carpeting will she need
Answer:
3 ft^2
Step-by-step explanation:
We'll assume the carpet is only for the closet floor. In that case we don't need the closet height.
Area of the floor can be calculated by multiplying the length (4 1/2 feet) and depth (2/3 foot):
Area = (4 1/2 feet)*(2/3 feet)
Area = (9/2 ')*(2/3 ')
Area = (18/6)'
Area = 3 ft^2
an architect creates two different blueprints for a new storage unit building. The scale from the building to the first blue print is 8ft to 2 cm. The length of a type A storage unit is 6.5 cm on the first blue print. The scale from the building to the second blueprint is 24 ft to 4cm The length of type B storage unit is 4.5 cm on the second blueprint. Which type of storage unit is longer?
The type-B storage unit is longer.
The architect creates two different blueprints for a new storage unit building.The scale from the building to the first blueprint is 8ft to 2 cm.The length of a type A storage unit is 6.5 cm on the first blue print.The actual size, according to the ratio in the corresponding first blueprint, is (8/2)*6.5.The actual size, according to the ratio in the corresponding first blueprint, is 26 feet.The scale from the building to the second blueprint is 24 ft to 4cm.The length of a type B storage unit is 4.5 cm on the first blue print.The actual size, according to the ratio in the corresponding first blueprint, is (24/4)*4.5.The actual size, according to the ratio in the corresponding first blueprint, is 27 feet.Thus, the length of the storage unit of type B is greater.To learn more about ratio, visit :
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The maximum speed of a car on a trip is 60 miles per hour. Write and solve an inequality that represents the number of hours the car takes to travel 180 miles.
It takes a printer 2.25 hours to print 1,080 pages. The printer prints pages at a constant rate.
How many pages per hour does the printer print?
Enter your answer in the box.
Answer:
480
Step-by-step explanation:
We want the unit rate in pages per hour, so we divide the number of pages by the number of hours.
1080 pages / 2.25 hours = 480 pages/hour
Write the first five terms of the sequence:
a(1) = 1, a(n) = 5(n-1), n ≥ 2
Answer: 5, 10, 15, 20, 25
Step-by-step explanation:
a(1)=1
a(2)=5(2-1)
a(2)=5
a(3)=5(3-1)
a(3)=10
a(4)=5(4-1)
a(4)=15
5, 10, 15, 20, 25
Please help me its do today
The measure of the missing angle is 80 degrees.
What is the measure of the missing angle?The shape of the object formed by GEF is a triangle. A triangle is a polygon that has three sides. The sum of angles in a triangle is 180. A triangle has three vertices.
<EGF = 180 - (28 + 58)
180 - 80
100
<EGF+ <FGT = 180 degrees
This is because angle on straight line is equal to 180 degrees
<FGT = 180 - 100 = 80 degrees
Alternatively, <FGT is equal to80 (28 + 58). This is because the sum of the two interior opposite angles in equal to the exterior angle.
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Simon feeds each of his dogs 1/8 of a can of food each day. He uses a total of 5/8 of a can of
food each day. How many dogs does Simon have?
The minimum wage for employees of a company is modeled by the function f(x)=7.25x The company decided to offer a signing bonus of $75. How does adding this amount affect a graph of an employee’s earnings?
After adding bonus amount, the graph of an employee’s earnings is translated upward by 75 units.
In this question, we have been given the minimum wage for employees of a company is modeled by the function f(x)=7.25x
Let h(x) be a function that models how much employee earns after a signing bonus of $75
The wage for the employees after signing the bonus would be 7.25x + 75
so, h(x) = 7.25x + 75 is the required function.
Here x is the number of working days, it can not be negative but must be greater than or equal to zero.
The graph of functions f(x) and h(x) are shown below.
The blue line represents the graph of the function which models an employee’s earnings after a signing a bonus.
The graph of f(x) is translated upward by 75 units.
The initial value of graph of h(x) is (0, 75) This means even if the employee works 0 days, he will get $75
Therefore, after adding bonus amount, the graph of an employee’s earnings is translated upward by 75 units.
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a-software company is hiring an engineer and a manager. How many ways can these positions be filled if 17 people apply for the position of an engineer and 22 people apply for the position of a manager question
Given:
17 people apply for the position of an engineer.
22 people apply for the position of a manager.
[tex]\begin{gathered} \text{Total number of ways to fill the positions=17}\times22 \\ \text{Total number of ways to fill the positions=}374 \end{gathered}[/tex]Number of ways to fill the positions is 374.
