Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. Let m represent the number of magazines and b represent the number of books.
Answers
Number of books = b
The cost of one magazine = $3.95
The cost of one book = $8.95
3.95m + 8.95b = 47.65
Answer: is c. 3.95m+8.95b=47.65
Step-by-step explanation:
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Answers
The constant of proportionality is k = 490 and the equation is y = 490x where x is the number of hours and y is the total number of miles
The time required is 12 hours
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the distance of the aircraft be = x
Let the total time taken by the aircraft be = y
Let the constant of proportionality be k
when x = 1 ,
y = 490
So , the equation will be y = kx
Substituting the values in the equation , we get
y = 490x
when x = 2
y = 490 ( 2 )
y = 980
Now , the time taken by aircraft to travel 5,880 miles is
Substitute the value of y as 5880 in the equation , we get
5880 = 490x
Divide by 490 on both sides of the equation , we get
x = 5880 / 490
x = 12
Therefore , the time taken is 12 hours
Hence , the constant of proportionality is 490
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Answer:
The constant of proportionality is 490
The jet will take 12 hours to travel 5,880 miles
Step-by-step explanation: The miles multiply by 490 each time.
490 x 12 is 5,880
What is the value of h(3)?
–2
–1
1
2
Answers
Answers
Answer:
A is the answer
Step-by-step explanation:
Answer:
the answer is A.
Step-by-step explanation:
Answers
2y=6+4x
we can isolate the y in the second function
2y=6+4x
/2 /2
y=3+2x
then change all the y to 3+2x in first function
4x+3(3+2x)=14
4x+9+6x=14
10x=5
/10 /10
x=0.5 or 1/2
then fill the x in the function, get y.(each function will work)
2y=6+4x
2y=6+4(1/2)
2y=6+2
2y=8
y=4
x=0.5 y=4
Answers
Answer:
C, $11,100
Step-by-step explanation:
First, we know that there are 12 months in a year, and they can save $350 a month together. 350 x 12 is 4200. That is for one year, and we need to find it for two years. 4200 x 2 is $8400. That’s the total he could save for college, and tuition costs $19500, so 19500 - 8400 = 11,100. Jose needs $11,100 in scholarships and financial aid for tuition.
Final answer:
The answer is B. $2,700. After his parents save $16,800 over two years, Jose will need $2,700 in financial aid and scholarships to meet the cost of his estimated freshman year tuition of $19,500.
Explanation:
First, let's calculate the total amount that Jose's parents will be able to save for his college tuition. They can save $350 each per month for 2 years. That's $350 x 2 x 12 x 2 = $16,800. Jose's estimated tuition for his freshman year of college is $19,500. Now, if we subtract the total amount his parents will save from the estimated tuition, we can calculate how much money Jose will need to receive in financial aid and scholarships to be able to afford tuition. This would be $19,500 - $16,800 = $2,700. So, Jose will need to receive $2,700 in financial aid and scholarships to be able to afford the tuition for his freshman year. Hence, the correct answer is B. $2,700.
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Answers
P = 6 a
6 a = 60
a = 60 : 6
a = 10 in
The area :
A = 6 · a² √3 / 4
A = 6 · 10² √3 / 4 = 600√3 / 4 = 150 √ 3 in²
Answer:
The hexagon`s area is 150√3 in².
Answer:
Hence, the area of polygon is:
259.8 inches^2.
Step-by-step explanation:
We know that a regular hexagon is a polygon consisting of six equal sides.
Let 'a' be the side length of the hexagon.
We are given perimeter of hexagon=60 in.
This implies.
Perimeter=6a
⇒ 60 =6×a
⇒ a=60/6
⇒ a=10 inches.
Now we know that the area(A) of regular hexagon with side 'a' is given by:
Now, on putting the value of a we get.
Hence, the area of polygon is:
259.8 inches^2.