Answer:
Workers to be be added to finish the work in 24 hours = 348
Step-by-step explanation:
This is a problem involving inverse proportion
Here the number of days required to complete the job is inversely proportional to the number of workers- the more the workers, the less time it takes
We can state this as:
[tex]D \propto \dfrac{1}{N}[/tex]
where D = time in days required to complete the job and N is the number of workers that can do this in D days
The equation relating D and N can be stated as
[tex]D = k \dfrac{1}{N}[/tex]
This gives us k = D x N (multiply by N both sides)
where k is a constant known as the constant of proportionality
Given data that D = 30 when N = 12, this constant of proportionality = D x N = 30 x 12 = 360
From the equation of proportionality we also get
N = k/D
So to complete the job in 24 hours = 1 day, substitute 1 for D and 360 for k to get
N = 360/1 = 360 workers
So you will need 360-12 = 348 workers if you expect to finish the job in 24 hours = 1 day
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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Need help asap, worth 20 points
Answer:
2
Step-by-step explanation:
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
In a local soccer league there are 17 coaches and 323 players. The league commissioner wants to divide up all of the teams evenly. What ratio best represents the number of coaches to the number of players on each team?
Answer:
the ratio is 17/323 equals 19, therefore there would be 19 players per team.
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.
the measure of two vertical angles are 8x-18 and 6x+14 find x
A:16
B:110
C:32
D:70
18+14=32
32 divided by 2 = 16
is this right??
When the measure of two vertical angles are 8x-18 and 6x+14, x is A. 16.
How to illustrate the information?It should be noted that vertically opposite angles are equal. In this case, we have to equate both angles given. This will be illustrated as:
Angle 1 = Angle 2
8x - 18 = 6x + 14
Collect like terms
8x - 6x = 14 + 18
2x = 32
Divide
x = 32/2
x = 16
The value of x is 16.
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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
PLWASE HELP I WILL GIVE BRAINLIEST
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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what do electrons wear on their feet
https://www.tamdistrict.org/cms/lib8/CA01000875/Centricity/Domain/377/2.6%20HW%2014.pdf
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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my calculator isn’t working. what’s 36 times 9
explain
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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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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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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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.
Find the number that makes the ratio equivalent to 3:2.
:20
Three ratios that are equivalent to 3:2:20 are: 9:6:60 27:18:180 and 81: 54:540 .
What is the ratio?When comparing two or more numbers, the mathematical concept of ratio is applied. It is a comparison tool to show how large or tiny a given quantity is. A ratio compares two amounts by dividing them. Here, the dividend is referred to as the "antecedent" and the "consequent" is the divisor.
Make sure to multiply the denominator and numerator by the same value each time to keep getting equal ratios.
Three ratios that are equivalent to 3:2:20 are: 9:6:60
Multiply the ratios by 9
27:18:180 and 81: 54:540 .
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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
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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What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98. How much change did he receive if
he gives the cashier $40.
Answer: If John gives the cashier $40 he will get 9.02 change back because $40.98 - $30.98 = $9.02
Using Pythagoras’ theorem or trigonometric ratios
Solve the equation for x. 2x+y = 7
PLEASE PLEASE HELP
Answer:
x = (7/2) - (y/2)
Step-by-step explanation:
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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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
Help me figure this out please
Only relations a, c and e are functions.
Here, we are given 6 relations and we need to determine which of them are function.
The basic property of a function is that a function from a set X to a set Y assigns to each element of X exactly one element of Y.
a. In this relation all elements in A are assigned only one value in B, thus, this relation is a function.
b. In this relation -1 in A has two values in B, that is, 5 and 2. Thus, this relation is not a function.
c. In this relation all elements of the first set are assigned only one value in set 2, thus, this relation is a function.
d. In this relation, 9 in set 1 has two values in set 2, that is, 9 and 5. Thus, this relation is not a function.
e. In this, relation, from the graph, we can see that all the x values have exactly one y value corresponding to them. Thus, the relation is a function.
f. In this relation we see that when x = 2, y can be 2 or 7. Thus, this relation is not a function.
Hence, we conclude that only relations a, c and e are functions.
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Which expressions below have exactly 4 terms before they are simplified?
Select ALL that apply
A 7-8 ÷ (16)(21)
B 7-8+16-22
C 15g+5-
D 15g-25z+5-3
E 9+13-17
Answer:
A B D
Step-by-step explanation:
C might be missing something.
but even without that it might be a trick question, as
15g + 5 could be considered to have the following terms :
15g
15
g
5
so, it depends on what convention your teacher defined with you. because internationally this is not precisely defined as my hint about 15g + 5 shows.
some people consider a multiplication or division a combination of several items into one term.
some don't.
some consider a multiplication or division a term, and then the parts of that again as terms (as in my example), and some don't.
it really depends on your teacher and his/her definitions.
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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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?
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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