A rectangular playground has length of 120 m and width of 6 m. Find its length, in metres, on a drawing of scale 1 : 5
Answer:
I. Length = 600 meters
II. Width = 30 meters
Step-by-step explanation:
Given the following data;
Length = 120m
Width = 6m
Drawing scale = 1:5
To find the length and width using the given drawing scale;
This ultimately implies that, with this drawing scale, the length and width of the rectangle would increase by a factor of 5 (multiplied by 5) i.e the rectangle is 5 times bigger in real-life than on the diagram.
For the length;
120 * 5 = 600 meters
For the width;
6 * 5 = 30 meters
Therefore, the dimensions of the rectangle using the given drawing scale is 600 meters by 30 meters.
A roller skating rink charges a skate rental fee and an hourly rate to skate.
The total cost to skate for 2 hours is $9.50 and for 5 hours is $18.50.
Assume the relationship is linear. Find and interpret the rate of change and
where x represents the number of hours and y represents the total cost.
initial value. Then write the equation of the function in the form y = mx + b
Answer:
The initial value, b = $3.50 is the skate rental fee
The rate of change, 'm' is $3.0 is the hourly rate charged by the roller skating rink
Step-by-step explanation:
From the question we have;
The charges of the roller skating rink = A skate rental fee + An hourly rate
The total cost to skate for 2 hours = $9.50
The total cost to skate for 5 hours = $18.50
The relationship between the total cost of skating and the duration in hours = Linear relationship
Let 'x' represent the number of hours skating and let 'y' represent the total cost, we have;
The form of the equation is y = m·x + b
Where;
m = The rate of change of the linear relationship
b = The initial value (y-intercept)
When x = 2, y = 9.50
Therefore, we can write;
9.50 = 2·m + b...(1)
When x = 5, y = 18.50
Therefore, we can write;
18.50 = 5·m + b...(2)
Subtracting equation (1) from equation (2) gives;
18.50 - 9.50 = 5·m - 2·m + b - b = 3·m
9.0 = 3 × m
∴ m = 9.0/3 = 3.0
The rate of change, m = 3.0
Similarly, we have;
From equation (1), we get;
9.50 = 2·m + b = 2 × 3.0 + b = 6.0 + b
9.50 = 6.0 + b
∴ b = 9.50 - 6.0 = 3.50
The initial value = 3.50
Therefore, the initial value, b = $3.50 is the skate rental fee while rate of change m = $3.0 is the hourly rate the rate.
What is the point that divides line DC into a ratio of 1:3, starting from point D C (-120, 83) D (156, -64)
Answer:
Step-by-step explanation:
0,7 as common fraction
Answer:
Sure! A common fraction would be 7/10, because it is the simplest form that we can have of .7 in a fraction form.
The stock of Company A gained 6% today to $94.87. What was the opening price of the stock in the beginning of the day?
Answer:
Step-by-step explanation:
I don’t know
We want to find the opening price of the stock in the beginning of the day. We will find that the solution is $89.50.
Working with percentages.
Let's say that the opening price of the stock was X.
Then, it is increased 6% to get to $94.87
This means that the 106% of X is equal to $94.87, then we can solve:
1.06*X = $94.87
Where we wrote 106% in decimal form, now we can just solve this for X:
X = $94.87/1.06 = $89.50
This means that the price of the stock in the beginning of the day was $89.50
If you want to learn more about percentages, you can read:
https://brainly.com/question/843074
please help this is myhrw.com hw
Answer:
No a triangle CAN’T have 2 obtuse angles. I dont know about the drop down menus since I can’t see the choices but there can’t be 2 obtuse angles in a triangle. I can guess two of them anyway
The second drop down one is “greater”
The last option is 180
Im not sure about he first since dropdowns aren’t presented
PLSSSS HELP I'LL GIVE YOU BRAINLIEST
A university class has 10 students enrolled, 4 of whom are juniors.
What is the probability that a randomly chosen student will be a junior?
Write your answer as a fraction or whole number and explain how you solve the problem.
Answer:
2/5
Step-by-step explanation:
Since 4 out of 10 students are juniors, you can express this with the fraction 4/10. 4/10 can then be simplified to 2/5.
The volume of a cylinder is 256pi in 3 and the height of the cylinder is 1 in what is the radius of the cylinder
Answer:
I got 9.03
Step-by-step explanation:
the formula is V=pir2h
(pi, radius squared, and height)
The mathematical sentence that describes the inequality 5n - 10 > 26 is: Ten subtracted from 5 times n is greater than 26. I hope this mathematical sentence is what you are looking for,
Write the inequality in words.
5n – 10 > 26
A. Ten less than a number is less than or equal to twenty-six.
B. Ten less than five times a number is greater than twenty-six.
C. Five times n less than ten is twenty-six.
D. Ten plus five times n is less than or equal to twenty-six.
Answer:
Write the inequality in words.
5n – 10 > 26
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
n > 36/5
Interval Notation:
(36/5, ∞)
THANKS
0
Answer:
B. Ten less than five times a number is greater than twenty-six.
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
n > 36 /5
Interval Notation:
( 36 /5 , ∞ )
OOOF MATH HELP EASY thank you
Answer: B.)
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Find the perimeter of the polygon if
5 cm
6 cm
7 cm
P = ? Cm
Answer:
(2) is the answer for your question
y=-4/3x+6; y=2
I need that to be done in subsitution or elimination
Rewrite equations:
y=2;y=
−4
3
x+6
Step: Solvey=2for y:
y=2
Step: Substitute2foryiny=
−4
3
x+6:
y=
−4
3
x+6
2=
−4
3
x+6
2+
4
3
x=
−4
3
x+6+
4
3
x(Add 4/3x to both sides)
4
3
x+2=6
4
3
x+2+−2=6+−2(Add -2 to both sides)
4
3
x=4
4
3
x
4
3
=
4
4
3
(Divide both sides by 4/3)
x=3
Answer:
x=3 and y=2
Is rolling a 5 on a traditional number cube
1. Impossible
2. Unlikely
3. Likely
4. Certain
Answer:
3. Likely
Step-by-step explanation:
The cost of renting a bicycle, y, for
x hours can be modeled by a linear
function. Renters pay a fixed insurance
fee of $12 plus an additional cost of $10
per hour, for a maximum of 6 hours.
What is the range of the function for this
situation?
F {22, 32, 42, 52, 62, 72}
G {1, 2, 3, 4, 5, 6}
H {12, 24, 36, 48, 60, 72}
J {22, 34, 46, 58, 70, 82}
Answer:
F
Step-by-step explanation:
1(10) + 12= 22
2(10) + 12= 32
etc.....
A jar contains 10 red marbles, 30 blue marbles, 10 green marbles, and 35 orange marbles. Find the probablilty of picking a marble.
Answer:
6/17
Step-by-step explanation:
The amount of blue marbles is 30, over the total number of marbles, which is 85. 30/85 simplifies to 6/17, which is the probability.
Hopefully this helps - let me know if you have any questions!
BRAINLIESTTTTT PLZZZZ
Answer:
Slope is -5/3
Step-by-step explanation: when you look at the graph, the line is descending meaning it will be a negative, so we can eliminate the answers that are positive leaving us with 2 options. Then we have to do rise/run, you figure that out by counting how many points the line goes up and to the right or left, and intersects with the line
I'm begging you please please help please please ASAP please please help please please ASAP please please help please please ASAP please please help please please ASAP
Answer:
15
Step-by-step explanation:
the height of the person is y = 6 and the distance from the ladder is also 6 = x. To find the angle formed by the ladder we use [tex]arctan(\frac{y}{x})[/tex] which in this case is
[tex]arctan\frac{6}{6} = arctan(1)\\= 45 degrees[/tex]
now we know that the person is 9 feet away from wall and 6 feet away from the ladder so the total x distance is 9+6 = 15 = x
to find y we use tan(45) = [tex]\frac{y}{x}[/tex]
multiply both sides by x = 15 and simplify to get y = 15
Can I get help with this please I am so stuck in here
Answer:
the correct answer is d
hope it help
{1+8+27+64+125...} find the next 9 terms
Answer: 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744
Step-by-step explanation: The terms are the cubes of the numbers 1, 2, 3, 4, 5...
Need to get this one right to pass lesson
Answer:
not sure search it up
Step-by-step explanation:
Answer:
33ft²
Step-by-step explanation:
b= base (3)
l= slant height (4)
Surface area = b²+2bl
=3²+2(3)(4)
=9+2(12)
=33
PLEASE HELPP ME!!!!
It would be greatly appreciated :)
Answer:
The slope of the line is 2/3
Answer: 1.5
Step-by-step explanation:
I plugged it in STAT, but you can do rise over run, or use the formula, y2-y2/x2-x1
Solve for n. 2n+3/4n = 3/4
Answer: n=3/11
Step-by-step explanation:
1. You want to simplify both sides of the equation.
2n+3/4n=3/4.
(2n+3/4n)=3/4 (combine like terms).
11/4n=3/4.
2. Multiply both sides using 4/11.
(4/11)x(11/4n)=(4/11)x(3/4)
3. You get your answer which is n=3/11.
Hoped I help :)
Which expression can be used to calculate the area of a circle?
Pi times diameter
2 times pi times radius
Pi times diameter times diameter
Pi times radius times radius
help plz
Please help me on this question if you would want brianleist!! Tank yah!! ^^
Answer: And the answer is b 6,7
Step-by-step explanation:
Did you meant “Please help me on this question if you would want brainliest!! Thank you!!”
Question 6 of 20 :
Select the best answer for the question
6. The solution to 2 x 27 will be what kind of number?
A. Even
B. Odd
C. Prime
D. Perfect square
Mark for review (Will be highlighted on the review page)
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NexhQuestion >>
Answer:
The answer is A. (an even number)
Step-by-step explanation:
2 x 27 is equivalent to 54 and 54 is an even number.
The expenses E and income I for making and selling T-shirts with a
school logo are given by the equations E = 535 +4.50n and I = 12n,
where n is the number of T-shirts.
Expenses: Slope=
Y-Intercept =
income: Slope=
Y-Intercept
4. A Tesla dealership is having a sale on their cars. This week you can save 15% off
the total price. If the retail price of the Tesla is $30,190, what is the discount?
Answer:
25,661.5
Step-by-step explanation:
30160x15%=4528.50
30160-4528.50=25,661.50
Write 0.4% in simplest form
Answer:
if simplest form by you mean fraction then the answer is 2/5
hope this is the answer you are looking for
Step-by-step explanation:
If z = 7, what is the value of the equation? ( only write the numeric value for the answer)
4z + 5 = ?
Answer
4z+5=
4*7+5=33
33
Step-by-step explanation:
Find the value of the variables in the simplest form
Answer:
x = 2
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + x² = (2[tex]\sqrt{2}[/tex] )² , that is
2x² = 8 ( divide both sides by 2 )
x² = 4 ( take the square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2