Question 5 Rocko paid $12.50 for 25 game tickets. Louisa paid $17.50 for 35 game tickets. What is the constant of proportionality? Express your answer in decimal form.
Answer: k = $0.50
Step-by-step explanation:
The data that we have is:
Rocko paid: $12.50 for 25 tickets.
Louisa paid: $17.50 for 35 tickets.
Now, the question asks to find the constant of proportionality.
A proportional relation can be written as:
y = k*x
where k is the constant, and in this case, y is the price and x the number of tickets bought.
Then replacing with the values above, we have:
$12.50 = k*25
then:
k = $12.50/25 = $0.50
And the other data:
$17.50 = k*35
K = $17.50/35 = $0.50
So we have the same k in both cases, this means that the constant of proportionality is k = $0.50
In a rectangle, the sides have measurements of 2x + 1 and 3x - 5 units Find an expression for the area of the rectangle, in square units.
Answer:
[tex] (6 {x}^{2} - 7x - 5) \: {units}^{2} [/tex]
Step-by-step explanation:
Area of rectangle = Product of sides
[tex] = (2x + 1) \times (3x - 5) \\ = 2x(3x - 5) + 1(3x - 5) \\ = 6 {x}^{2} - 10x + 3x - 5 \\ area \: of \: rectangle \: \\ = (6 {x}^{2} - 7x - 5) \: {units}^{2} [/tex]
If Sara had 5 apples and she ate 3 how many would Sara have?
Answer:
2
Step-by-step explanation:
5-3=2
Answer:
Sara would have 2 apples left
Step-by-step explanation:
5-3=2
Tammy wants to burn a total of 300 calories. So far, she has burned 289.3 calories. How many more calories must Tammy burn?
Answer:
10.7
Step-by-step explanation:
300 - 289.3 = 10.7 calories.
Answer:10.70
Step by step explanation
300-289.3=10.70
Question 3 of 10 Katerina is making picture frames of various widths for 5x7 photos. The diagram below shows what his picture frames look like. The colored rectangle is the frame with a width of 2 inches on all sides, the inner rectangle is the space for the picture. The polynomial expression 4x2 + 242 + 35 will calculate the total area of the frame and picture together for any value of L. What is the leading coefficient of this polynomial expression?
Answer:
leading co-efficent is 4
I forgot how to do these questions
HELPPPPPP
Point R is on line segment QS. Given QS = 16 and QR = 9, determine the length RS.
Answer:
The length RS = 7
Step-by-step explanation:
Here, we are interested in determining the length of RS
Let’s have the line segment arranged as follows;
Q R S
where QR = 9 and QS = 16
From the arrangement, we can deduce that;
QS = QR + RS
Thus;
RS = QS - QR
RS = 16 -9
RS = 7
what is the domain of the set (-3,5), (2,0), (7,-5)
The domain is all x-values.
The domain is -3, 2, 7
The range is all y-values
The range is 5, 0, -5
Best of Luck!
When x is added to its square, the total is 30. Fond the value of x.
(With solution please)
Answer:
[tex]x=\frac{30}{(1+x)}[/tex]
Step-by-step explanation:
step one:
This is a word problem, we need to translate is it to mathematical terms before we solve
"When x is added to its square, the total is 30"
step two:
[tex]x+x^2=30[/tex]
[tex]x+x^2=30\\\\x(1+x)=30\\\\[/tex]
step three:
divide both sides by 1+x we have the value of x as
[tex]x=\frac{30}{(1+x)}[/tex]
Solve the equation below for h v=πr^2h
Answer:
The answer is
[tex]h = \frac{v}{πr²} [/tex]Step-by-step explanation:
v = πr²h
To solve for h divide both sides by πr²
That's
[tex] \frac{v}{πr²} = \frac{πr²h}{πr²} [/tex]We have the final answer as
[tex]h = \frac{v}{πr²} [/tex]Hope this helps you
Answer: h=0hr/2−3.141593r2+v
Step-by-step explanation:Hope this help
the perimeter of a square can be found using P = n + n + n + n, where n is the length of one side of the square. Which equation could also be used to find the perimeter of a square
Answer:
P = 4n
Step-by-step explanation:
P = n + n + n + n
If you combine all the like terms you end up with:
P = 4n
The equation to find the perimeter of a square can also be expressed as 4n, where n is the side.
What is Square?A square is a two dimensional figure which has four vertices, four sides and four angles.
Perimeter of a geometrical figure is the sum of the lengths of the boundary of shape.
Given that n is the length of one side of a square.
Perimeter is the sum of the side lengths.
Since a square has four sides,
Perimeter = 4 times the length of side
= 4n
Hence the perimeter of a square can also be expressed as 4n.
Learn more about Square here :
https://brainly.com/question/28776767
#SPJ2
Find the value of x.
42°
130°
75°
Answer:
wdym
Step-by-step explanation:
helppp math sucksss
Answer:
H can't be a function.
Step-by-step explanation:
If x has more than one y then it doesn't pass the vertical line test and is not a function.
+ 2
5. Which of the following has the same
value as -10 +-3?
A-13
B-7
C13
pls help on this it must be answerd quickly or i will not be able to go on the my dads boat on sunday, so pls pls answer quickly
Answer:
Step-by-step explanation:
I love boats
g(x) = 2x^2 + x-1, find f(3)
Answer:
the answer is 20
Hope it helps
–7 – (x + 3) = 12
solve for x
Answer:
Step-by-step explanation:
-7 -x - 3 = 12
-x - 10 = 12
-x = 22
x = -22
Determine if the square root is a rational or irrational number. Answer as R for rational and I for
irrational
Answer:
1- it is irrational
2- it is rational
Which number line shows the inequality n < -3?
Answer: like he dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true. The following graph represents the inequality x < 2 . Note that the open circle on 2 shows that 2 is not a solution to x < 2 .
Step-by-step explanation:
Find the circumference of the circle. Round your answer to two decimal places, if necessary.
Use the Circumference of a Circle Formula:
C = 2πr
or
C = (Diameter)*π (since diameter = 2*radius)
In this case, the diameter is 44 miles
So the circumference is:
C = 44*π = 138.23 miles
find the product of 3 1/5 and 7 1/4. Express your answer in simplest form
10 and 9 over 20 is the correct solution
Evaluate
5-(x - 2) for x = - 1
5 - ( x - 2 )
substitute -
5 - ( -1 -2 )
step 2 - now solvefirst solve the bracket
5 - ( - 1 - 2 )
therefore,
5 - ( - 3 )
solve
= 8
so the answer is 8hope that helps !
The figure below is a rectangle. What is the value of x?
Answer:
1.8
Step-by-step explanation:
[tex]2x + 10 = 12x + - 8 \\ 10x = 18 \\ x = 1.8 \\ [/tex]
Answer:
1.8
Step-by-step explanation:
12x-8=2(x+5)
12x-8=2x+10
10x=18
x=1.8
Write the mixed number as a decimal. 83/5
Answer:
Write the mixed number as a decimal. 83/5
16.6
(5x-2)^2 help asap pleaseee
Answer:
25x² − 20x + 4
Explanation:
(5x − 2)²
= (5x + −2)(5x + −2)
= (5x)(5x) + (5x)(−2) + (−2)(5x) + (−2)(−2)
= 25x² − 10x − 10x + 4
= 25x² − 20x + 4
Which of the following numbers is divisible by 3 and 7?
O 396
O 399
O 402
O 405
Answer:
399
Step-by-step explanation:
396 is divisible by 3, but not 7.
399 is divisible by 3, and 7.
402 is divisible by 3, but not 7.
405 is divisible by 3, but not 7.
It is roughly 8100 miles to fly from California to Australia. If it takes the plane 15 hours to reach its destination, how fast was the plane flying in feet per hour? (1mile = 5280 feet)
How many miles did the plane fly in one hour?
Answer:
Answer is 540 mph (miles per hour)
Step-by-step explanation:
by diving 8100 by 15, you get a quotient of 540
what is the value of x in 36/45 = x/5
Answer:
x = 4
Step-by-step explanation:
Cancel common factor of 9,
(x/5)=(4/5)
Multiply both sides by 5,
(5x/5)=(20/5)
Simplify to get x = 4
1
Robert has a piece of string that is 62 cm long. He cuts off 39 cm of the string.
How long is the string that is left?
Answer:
23cm
Step-by-step explanation:
62-39=23cm
2 (3x + 6) = 3 (x - 10)
Answer:
x= -14
Step-by-step explanation:
