a doubles tennis court measures (7x+8) ft in length and (3x+6) ft in width. which expression represents the area of the court
If the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]
Recall:
Area of a rectangle = length x widthGiven the algebraic expressions for the dimension of the rectangular court as:
length = (7x + 8) ft
width = (3x + 6) ft
Therefore,Area = [tex](7x + 8) \times (3x + 6)[/tex]
Apply the distributive property[tex]Area =7x(3x + 6) +8(3x + 6)\\\\Area = 21x^2 + 42x + 24x + 48\\\\[/tex]
Add like terms[tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]
Therefore, if the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]
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The ratio of boys to girls in Mr. Baker’s social studies class is 2 to 3. If there are 30 total students in the class, how many more girls are in the class than boys?
Answer:
There would be 10 more Girls.
4 x +2 y =1 6 // write the equation in slope-intercept form plsss
i'll give you brainliest if correct
Answer:
y= -2x+8
Step-by-step explanation:
the common required form is: y=s*x+i, where s - slope, i - interception.
According to the form and the condition y=-2x+8.
Help please n ty . ill give you brainiest and 50 points
Answer:
ok whats the question?
Step-by-step explanation:
A flight from Boston to London only took 5 hours because of a strong tailwind. The flight back to Boston against the same wind took 6 hours. What was the speed of the wind if the speed of the plane in still air is 550 mph?
If the flight back to Boston against the same wind took 6 hours. The speed of the wind if the speed of the plane in still air is 550 mph is 50 mph.
How to find the speed of the plane?Given data:
Boston to London = 5 hours
Flight back to Boston = 6 hours
Still air = 550 mph
Using this formula
Speed (s) = Distance /Time
We need to formula an equation that will be used to find the speed
Equation: (550 + s)5 = (550 - s)6
So,
Let s represent the speed
(550 + s)5 = (550 - s)6
2750 +5s = 3300 - 6s
Collect like terms
6s +5s = 3300 - 2750
11s = 3300 - 2750
11s = 550
Divide both side by 11s
s= 550/11
s = 50mph
Therefore the speed of the plane is 50mph.
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Does this relationship represents a function? Explain why or why not. (F.IF.A.1)
y
-5
4
-2
-5.4
-2.1
2 B4
5
X
Edit
View
Insert
Format
Tools Table HELP PLEASE
Step-by-step explanation:
no, it does not.
because almost every valid value of x (from -3 to +3) has 2 associated result values of y.
like x = 0 has y = 3 and y = -3.
but for a function there can be only ONE associated y value for every valid x value.
help me please!! and thank you
Answer:
(-2.5,3) is x1 y1 respectivelly. Apart from this, what part of the question are you struggling with?
Find the product. Simplify your answer.
(4c+3)(3c–3)
Hello!!
(4c+3)(3c−3)
=(4c+3)(3c+−3)
=(4c)(3c)+(4c)(−3)+(3)(3c)+(3)(−3)
=12c2−12c+9c−9
=12c2−3c−9
Answer^
Hope this helps ((brainliest!!!))
I need to know which matches which thank you
Answer:
number 1 matches 8/12, number 2 matches 11/12, number 3 matches 12/24, number 4 matches 11/24, number 5 matches 10/12
Step-by-step explanation:
find the minimum common multiple and then add the top numbers and keep the denominator (bottom number) the same.
Which fraction is equivalent to 9/12
=========================================================
Explanation:
Let's check to see if 9/12 is the same as 16/24.
Set them equal to one another, and then use cross multiplication like so
9/12 = 16/24
9*24 = 12*16
216 = 192
Both sides aren't the same value after simplifying everything. The third equation being false leads to the first equation being false as well.
Therefore, 9/12 is not the same as 16/24. We can rule out choice A.
-----------------------
Let's check choice B
9/12 = 15/20
9*20 = 12*15
180 = 180
We have a match, so 9/12 is the same as 15/20
Notice how:
9/12 = 0.7515/20 = 0.75Both fractions lead to the same exact terminating decimal, which is more evidence that the two fractions are equivalent.
Choice B is the final answer.
Does -19x go behind -12xi or in front of o -12xi in standard form?
x^2-19x-12xi or x^2-12xi-12x
Answer:
It's x² -12xi-12x
Step-by-step explanation:
You always do ax²+bx+c
Convert 4g into mg please- i'll give you 10 points
Answer:
4000 mg
Step-by-step explanation:
4grams · 1000 = 4000 milligrams
Answer:
4000 mg
Step-by-step explanation:
1) 6 hats cost $67.50
What's the cost per hat?
Answer:
11.25
Step-by-step explanation:
I divided 67.50 by 6 and it got me the answer 11.25
What is the name of a bank account that allows you to access your funds in the bank?
Answer:
A checking account
Step-by-step explanation:
It's called a checking account
What is the slope-intercept form of the equation x + y= -15?
Answer:
x+y=-15
y=-x-15
Step-by-step explanation:
The area in square feet of a rectangular field is x^2-80x+1500. the width, in feet, is x-30. what is the length in feet.
Answer:
Step-by-step explanation:
Area = x² - 80x + 1500
= x² -30x - 50x + 1500
= x(x - 30) - 50(x - 30)
= (x -30) (x - 50)
Length =(x -50) ft
There are 153 millimeters of juice in 1 carton. A three-pack of juice boxes contains a total if 459 millimeters. A. Estimate, and then find the actual total amount of juice in 1 carton and in a three-pack of juices boxes.
Answer:
1 juice boxes = 153 millimeters
459 ?
3 juice boxes = 459 millimeters
Step-by-step explanation:
The coefficient in the formula above tells us that there are?
Answer: srry if im wrong but i think it is Answer:1.A ____ is like a recipe for a chemical substance. (valence, formula, subscript, coefficient)
Step-by-step explanation:
PLEASE HELP
What is the slope of the line?
Step-by-step explanation:
you know what the slope of the line is ? it is the inclination of the line. how strongly is it going up or down, or is it maybe flat ?
in the formulas the slope is always the factor of x. the slope is excised as ratio of y coordinate change / x coordinate change when going from one point to another.
we see here 2 clear points in my opinion :
(0, -3) and (3, 0)
that is where the line crosses the y and the coordinate axis.
so, going from (0, -3) to (3, 0) :
x changes by +3 (from 0 to 3)
y changes by +3 (from -3 to 0).
so, the slope is
+3/+3 = 1
What is the product of 0.15 x 0.32? *
Answer:
0.048
Step-by-step explanation:
Answer:
The answer to 0.15 x 0.32 is 0.048
Heyyyyy please help me do this question
Answer:
5/12
Step-by-step explanation:
convert 1/3 to 4/12 and 1/4 to 3/12 so 3+4=7 so 7/12 dropped out so now 12-7=5 so 5/12 is the answer
If you mix 0.02 litres of squash with 100 ml of water to make a drink, what is the total volume of drink that could be made with 1 litre of squash?
Give your answer in litres.
How long did it take a jet to accelerate from 200 m/s to 300 m/s with a constant acceleration of 50 m/s?
It will take 2 seconds a jet to accelerate from 200 m/s to 300 m/s with a constant acceleration of 50 m/s.
What is division?One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.
Given:
A constant acceleration is of 50 meter per second.
A jet to accelerate from 200 m/s to 300 m/s.
Acceleration is 100 meters per 2 seconds.
That means,
it will take = (300 - 200)/ 50 m/s
= 2 seconds.
Therefore, it will take 2 seconds.
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PLS ANSWER QUICK AND SHOW WORK
Mrs. McDonnell makes $30 an hour. Today she
worked 5 hours. In addition, she earned 28% of the
$800 in socks that she sold. How much total did you
make for the day?
Step-by-step explanation:
30×5=150 and 800×28%=224
total earned $374.
4t=-10
the operation would be multiply and i got the answer which is 2.5
i just don’t know if it’s an inverse or a reciprocal.
can anyone help? thanks !
~one variable linear equation
4t = -10
t = -10 ÷ 4
t = -2,5 ✔️
So, the answer is -2,5 no 2,5
~ nice to help you ^^
I forgot how to do this stuff so please help
Answer:
116 in
Step-by-step explanation:
Which graph represents the function f (x) = –| x - 3| + 1
Answer:
D
last one
Step-by-step explanation:
Makayla’s test grades increased from 80 to 95. What is the percent of increase? Write the number only, no percent sign.
Answer:
18.75
Step-by-step explanation:
80 = 100%
1% = 100%/100 = 80/100 = 0.8
the grades changed by 95 - 80 = 15.
how many % is that ?
we find the answer by checking how often 1% fits into 15. and we do this kind of check by division :
15 / 0.8 = 18.75
so, the grades changed by 18.75%.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!5
Answer:
A is the best answer to give
BRAINLIST ???
Answer:
C a line that shows the set of all solutions to the equation
Step-by-step explanation:
y = -4x+7 is the slope intercept form of a line
The slope is -4 and the y intercept is 7
The sum of the base and the height of a triangle is 20 cm. Find the dimensions for which the area is a maximum.
Answer:
base = 10cm and height = 10cm
Step-by-step explanation:
base + height = 20
base = height = 20/2= 10cm