A park shaped like a rectangle. The diagram shows the how the park is split into a sports field and a playground. Let x represent the length in meters of the sports field. Write an expression to represent the area of the park as the sum of the areas of the sports field and the playground.
Answers
Answer:
20r + 310
Step-by-step explanation
For the first part.
The required expression is 20x + 310 which represents the area of the park as the sum of the areas of the sports field and the playground.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Let x represent the length in meters of the sports field.
Here, the area of the sports field = 20 × x = 20x units
And, the area of the playground = 15.5 × 20 = 310 units
Now, the required expression to represent the area of the park will be :
⇒ area of the sports field + area of the playground
⇒ 20x + 310
Thus, the required expression is 20x + 310.
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Related Questions
using the arithmetic sequence 12,15,18,21.....What is the 12th term of the sequence
Answers
Answer: 45
Step-by-step explanation:
f(n) = f(1)+CD(n-1)
f(n) = 12+3(n-1)
f(n) = 12 +3n -3
f(n) = 3n+9
plug in 12 for n
f(12) = 3(12)+9
= 36 +9
=45
Answer: 45
Step-by-step explanation: 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45
Construct the exponential function that contains the points (0,3) and (2,75).
Answers
Answer: 3(5)^x
Step-by-step explanation:
that was the correct answer
The required exponential function is given as y = 3[5]ˣ.
The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
Let
y = abˣ
Substitute the pairs and form two equations,
3 = a - - - - - - - (1)
75 = ab² - - - - - (2)
Dividing equation 2 by 1
25 = b²
b = 5
Now,
y = 3{5}ˣ
Thus, the required exponential function is given as y = 3[5]ˣ.
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A busy traffic intersection in a city was experiencing an average of 20 accidents per week. The council decided to try to reduce the number of accidents by placing a stop sign at the intersection. In this situation, what is:
a. the null hypothesis
b. the alternative hypothesis
Answers
Answer:
Null hypothesis; H0: μ1 = μ2
Alternative hypothesis; Ha: μ1 > μ2
Step-by-step explanation:
We are told that the telraffic was experiencing an average of 20 accidents per week.
Thus, μ = 20
We are told that the council decided to try to reduce the number of accidents.
Thus defining the hypothesis, we have;
Null hypothesis; H0: μ1 = μ2
Alternative hypothesis; Ha: μ1 > μ2
the mean of the following numbers is 15. 14,10,18,,21,15,14
Answers
Answer:
= 15.285714285714
Step-by-step explanation:
Select all radical expressions that are equivalent to 347. (3√4)7 (3√7)4 21−−√4 37−−√4 81−−√7 12−−√7
Answers
Answer: (3√7)4 and 81−−√7
Step-by-step explanation:
why does 4^3 equal 64 and not 12
Answers
Answer:
because 4.4.4.4
Step-by-step explanation:
can someone help me round 621x29
Answers
Your rounded number is 18010
The reason for this is because when you multiply 621X29, you get 18009. When you round numbers, you want to see how the numbers are. If a number is 4 or below, you will make that number a zero or not count it, whereas numbers above 5 will go up. I hope this helps and if you have any questions, let me know
Answer:
18010
Step-by-step explanation: You see, 621x29=18009 and rounded is 18,010
Jenny cut a wire into 4 equal pieces. The wire was originally 7.92 meters long. How long is each piece?
Answers
Answer:
1.98 meters
Step-by-step explanation:
divide 7.92 by 4
(7.92)/4
1.98
What is the easiest way to find the square root of a number?
Answers
Answer:
use a calculator
Step-by-step explanation:
best trick
When you [_______________] measurements, the answer should only have the same number of significant figures as the measurement with the fewest significant figures
Answers
Answer:
When doing multiplication or division with measured values, the answer should have the same number of significant figures as the measured value with the least number of significant figures. Procedure to determine significant figures after multiplication or division: 1.
Step-by-step explanation:
The required solution is multiplication or division.
It is required to find the fill in blanks.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
When doing multiplication or division with measured values, the answer should have the same number of significant figures as the measured value with the least number of significant figures.
Therefore, the required solution is multiplication or division.
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4 4/5 divided by 2 1/5
Answers
Answer:
2 2/11
Step-by-step explanation:
What is the LCM of 81 and 84
Answers
Answer:
2268
Step-by-step explanation:
write an equivalent multiplication expression for 1/3 divided by 3
Answers
Answer:
1/3 times 1/3
Step-by-step explanation:
the answer is 1/3 * 1/3 because when you divide with fraction you make the 3 or 3/1 turned around which is 1/3, then you multiply 1/3 * 1/3
Please tell me this answer
Answers
Answer: 162
60466176/373248
Step-by-step explanation: 12^4*9^3*4= 60466176 and 6^3*8^2*27= 373248. If you divide these together you get 128.
What is the kinetic energy of a bicycle that has a mass of 20 kg and is traveling at a velocity of 10 m/sec? KE= .5 x M x V^2
Answers
KE= 0.5(20 kg) (10 m/s)^2
KE= 10kg * 100 = 1000 J
The kinetic energy of the bicycle is 100 N
What is kinetic energy?Kinetic energy is the energy in motion and it is energy doing work. It can be expressed by using the formula:
[tex]\mathbf{K.E = \dfrac{1}{2}\times m \times v^2}[/tex]
where;
m = mass of the object v = velocity of the object[tex]\mathbf{K.E =0.5 \times 20 \ kg \times 10 \ m/s^2}[/tex]
K.E = 100 N
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(I'LL GIVE BRAINLIEST TO WHO EVER HELPS ME!!)
Estimate and then solve 6,699 ÷ 72 = ___.
A) 92 r 4
B) 93 r 3
C) 94 r 3
Answers
Answer:
C) 93 r 3
Your Welcome! ^O^
0 0 9 3
7 2 6 6 9 9
− 0
6 6
− 0
6 6 9
− 6 4 8
2 1 9
− 2 1 6
3
Answer:
thats wrong the correct answer is 94 r 3
Step-by-step explanation:
please help me asap impor
Answers
What is the distance between $(12, 4)$ and $(5, 28)$?
Answers
Answer
8
Step-by-step explanation:
16
Using the distance formular, the distance between the coordinate points given is 25
Recall the relation :
Distance = √[(y2 - y1)² + (x2 - x1)²]Distance = √[(28 - 4)² + (5 - 12)²]
Distance = √[(24)² + (-7)²]
Distance = √(576 + 49)
Distance = √625
Distance = 25
Hence, the distance between the points is 25
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Olivia needs 54 licks for every 3 lollipops she eats.
Answers
18 is your answer
54 divided by 3 = eighteen
Answer:
If the question is how many licks does she need for each lollipop, the answer will be 18 licks
Step-by-step explanation:
54/3=18licks
Hope this helps pls give brainliest!
Plzz help....Calculate the length of the corresponding sides for FGHIJ and ABCDE. You will need to use the distance formula
[tex]d = \sqrt{x2 - x1) {2}^{?} } + (y2 - y1) {2}^{?} [/tex]
for sides that are not purely horizontal of vertical. Show your work in the table. Afterward, confirm your calculations using GeoGebra.
Answers
The distance between the points have been calculated.
What is the Distance Formula?The distance formula is used to calculate distance between two points on a coordinate system.
The formula is
[tex]\rm d = \sqrt { (x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)
The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)
AB² = (2-0)²+(4-4)²
AB = 2
FG² = (6-7)²+(1-1)²
FG =1
BC² = (2-2)²+(3-4)²=1
BC = 1
GH² = (6-6)²+(1.5-1)²=0.5
GH = 0.5
DI² = (5-4)²+(2-2)²
DI = 1
HI² = (5-6)²+(2-1.5)² = 1.25
HI = 1.12
DE² = (4-4)²+(0-2)²
DE = 2
IJ² = (5-5)²+(3-2)²
IJ = 1
EA² = (0-4)²+(4-0)²
EA = 5.66
JK² = (7-5)²+(1-3)²
JK = 2.83
The missing data of the question is
The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)
The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)
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The ratio of the number of silver watches to the number of gold watches in a shop 2:3. Which of the following best describes the number of silver and gold watches in the shop?
Answers
Answer:
For every 2 silver watches, there are 3 gold watches :)
Step-by-step explanation:
For every 2 silver watches, there are 3 gold watches :)
Tyler’s brother works in a shoe store. Tyler’s brother earns $12 per hour. The store offers him a raise—a 5% increase per hour. After the raise, how much will Tyler’s brother make per hour?
Answers
Answer: 12.6
Step-by-step explanation: calculator ._.
A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer
than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Which system of equations models this situation if the drummer wrote d songs and the
guitarist wrote g songs?
Answers
Answer:
Step-by-step explanation:
d + 2d - 8 = 46
3d - 8 = 46
3d = 54
d = 18
Find the value of x when x² is equal to 121. * 4 points
Answers
Determine whether the system has no, one, or infinitely many solutions.
y = -6
4x + y = 2
Answers
Answer:
It should have one answer
Step-by-step explanation:
y = -6
4x + -6 = 2
4x = 8
2
HELP ME PLEASEEEEEEEEEEEEEEEE
Answers
A card is drawn from a deck of 52 cards. What is the probability that it is a 6 or club a ?
Answers
Answer: 0.3077
Explanation: In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).
Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 7.
With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).
Our denominator here is 52 - the number of cards from which we can pull 1.
Our numerator is both all the diamonds, 13 cards, and all the sevens, 4 cards, but we need to subtract 1 to account for the double counting of the 7 of diamonds.
In all we get: 13+4−1/52=16/52=4/13≈0.3077
Hope this helps... Stay safe and have a great day/night!!!
A party planner estimates a party will cost $200 plus $8 for each person attending. What is the y-intercept of the graph of the linear function representing the total cost of the party?
Answers
Answer:
The y intercept is 200
Step-by-step explanation:
Given
Base Cost = 200
Per person =8
Required
Determine the y intercept
First, we need to determine the equation.
The total amount (y) for x persons can be calculated using:
y = Base Cost + Amount per person * x.
This gives
y = 200 + 8 * x
y = 200 + 8x
The general expression of a linear equation is:
y = mx + b
Where b = y intercept
By comparison,
b = 200
Hence, the y intercept is 200
Write two decimals that have the sum of 16.825
Answers
explanation: 10.805 + 6.02 = 16.825
Jerry started doing sit ups every day. The first day he did 15 sit ups. Every day after he did 4 more sit ups than he had done the previous day. Today jerry did 65 sit ups. Write an equation that could be solved to find the number of days jerry has been doing sit ups, not counting the first day.
Answers
Answer:
y=4x+15
Step-by-step explanation:
y-total
x-days