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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What is the value of the expression m^4- 11 when m = 3? Use the number pad to enter your answer in the box.
Answer:
70
Step-by-step explanation:
m^4 - 11
when m = 3
3^4 - 11
81 - 11
70
if someone can help me answer these questions ill mark u as a brainliest! thank u if u help! :)
Answer:
u = 20, v = 1
Step-by-step explanation:
Here, we can assume that the triangles are congruent for the purposes of solving the problem. Because they are congruent, by the HL right triangle congruency theorem, the hypotenuse and leg of each triangle have to be the same.
Therefore:
[tex]v+23=u+4\\19v+41=2u+20[/tex]
Now, you can simply solve the system of equations for v and u.
I will solve by substitution:
[tex]v+23=u+4\\v=u-19[/tex]
Now, plug that into the other equation:
[tex]19(u-19)+41=2u+20\\19u-361+41=2u+20\\19u-320=2u+20\\17u-320=20\\17u=340\\u=20[/tex]
Finally, plug that back into the first equation:
[tex]v+23=20+4\\v+23=24\\v=1[/tex]
u = 20, v = 1
I’ll give brainliest, thanks and 5 stars.
Answer:
First, you can break 6 into 3 * 2.
[tex]\frac{6^4*15^3}{3^3*2^4} =\frac{3^4*2^4*15^3}{3^3*2^4}[/tex]
Then, cancel out the common factor of [tex]3^3[/tex]:
[tex]\frac{3^4*2^4*15^3}{3^3*2^4} =\frac{3*2^4*15^3}{2^4}[/tex]
Next, cancel out the common factor of [tex]2^4[/tex].
[tex]\frac{3*2^4*15^3}{2^4} =3*15^3[/tex]
You can evaluate it as 10125 if you'd like.
ANSWER ASAP WILL AWARD BRAINLIEST
Answer:
Pretty sure the answer is 9−4√3
[tex]\dfrac{(5-\sqrt 3)(3-\sqrt 3)}{2}\\\\=\dfrac{15 - 5\sqrt 3 - 3\sqrt 3 + 3}{2}\\\\=\dfrac{18 - 8 \sqrt 3}2\\\\=\dfrac{18}2 - \dfrac{8 \sqrt 3}2\\\\=9- 4\sqrt 3[/tex]
What is the name of this angle?
Help
Answer:
Acute is correct. It should not be confused with the girl at the desk ahead. She's a cutie. Cuties all have angles, so caution.
Step-by-step explanation:
what would this one be?
Answer:
I believe it's 6/10
Step-by-step explanation:
3/5 times 2 = 6/10
Find the value of x that makes m//n (2x+20)
Answer:
20
Step-by-step explanation:
uvuctxtxyvuvigh ufydigifyds6dgbjj
Four integers have a mean of 12, a median of 12, a mode of 12 and a range of 6.
Find the four integers.
Which of these sets of ordered pairs satisfies and expertise equation
Answer:
the answer would be C guys
PLEASE HELP WILL MARK BRAINLIEST
Answer:
a
Step-by-step explanation:
what is 7/8 as a decimal rounded to the nearest thousandth
Answer:
0.875
Step-by-step explanation:
PLS HELP ASAP !!
A boy has climbed 210m up a 350m vertical cliff, and is trapped there.
A rescue helicopter is hovering 65m above the top of the cliff.
Calculate how far a rescue must be lowered to reach the boy.
You may draw a sketch to help you.
(i'll mark as brainliest if u answer:))
Answer:
205
Step-by-step explanation:
helicopter=65m
tap of the cliff=
the boy=350m
210=
that makes the answer 205
Answer:
205 meters
Step-by-step explanation:
The cliff is 350m, and the rescue helicopter is 65m above the top of the cliff.
This means that the helicopter is 415 meters above the bottom of the cliff.
The boy is 210m above the bottom of the cliff.
So, you have to subtract 210 from 415 to get 205.
Therefore, you have to lower the rescue 205m to reach the boy.
Evaluate. [2−∣∣−1/4−2(−3/5)∣∣]÷(−6) What is the value of the expression? Enter your answer as a simplified fraction in the box.
Answer:
-7/40
Step-by-step explanation:
I hope this helps!
A non-proportional timetion is represented by y-2x.
7 which table represents this function?
с
3
4.
A
13
15
17
9
12
16
4
79
15
D
B
im
4
3
2
9
23
30
13
4.
Answer:
The numbers appear random. Are there two columns? I can't decipher the list.
Step-by-step explanation:
Plot the function and see if any of the points fall on the line. See attachment.
Is the function y-2x = 7 ?? { I see y-2x.7}
y = 2x + 7
A fruit basket contains oranges and grapefruits. 1/3 of oranges and 1/4 of the grapefruits were spoiled. You threw away 4 oranges and 7 grapefruits. How many pieces of fruit were in the basket before you threw out the spoiled ones?
Answer:
Below.
Step-by-step explanation:
1/3 is equivalent to 4 oranges so number of oranges = 3 * 4 = 12.
In the same way there are 7 * 4 = 28 grapefruit.
Total pieces of fruit = 12 + 28
= 40.
Resolver para y.
y-14=X
Answer:
y = x + 14
Step-by-step explanation:
y - 14 = x
y = x + 14
Dan is buying turkey cutlets for $2.69 per pound. The package weighs 4 pounds, 8 ounces.
How much will the cutlets cost?
if I did it right then it's $32.38.
marciano has 85 dollars to spend at a fair he spends 30 on admission and 12 on snacks he wants to plag a game that costs 1.50 per game write an inequality using a variable to find the maximum number of times Marciano can play the game using the inequality determine the maximum number of times he can play the game
Answer: 28.666666666666667
Step-by-step explanation: 85 - 30 - 12 = 43. 43 ÷ 1.50 = 28.666666666666667
which of the following has factor of (× - 4) (× - 3)?
Answer:
Hello!
After reading your question I have come up with the correct way to factor (x-4) and (x-3) together:
x²-7x+12
Step-by-step explanation:
This is my work:
Help me with this question please!! Show all work
Penny has some money. After
she pays $5 for her new kitten,
she will have $27. How much
money does she have now?
Answer:
32 dollars
Step-by-step explanation:
Her total os unknown. ? - 5 = 27. 27 + 5 = 32. 32 = ?
Two trains, Train A and Train B, weigh a total of 436 tons. Train A is heavier than Train B. The difference of their weights is 242 tons. What is the weight of each train?
Answer:
Train A: 238 Train B: 194
Step-by-step explanation:
436-242=194-436=-238
Flip the sign for 238 and you get your answer.
(This might not be correct)
Nancy deposits $2500 into an investing account that pays 6.1% annual interest compounded quarterly. What will be the balance after 10 years? Round to the nearest cent.
Step-by-step explanation:
P=principle balance
r= interest rate
n= no. of times interest compounded per year
t= time period.
[tex]A = P {(1 + \frac{r}{n}) }^{nt} \\A = 2500 ({1 + \frac{ \frac{6.1}{100} }{4} )}^{4(10)} \\ A = 2500 {(1 + \frac{0.061}{4} )}^{40} \\ A = 2500 {(1 + 0.01525)}^{40} \\ A = 2500 {(1.01525)}^{40} \\ A = 4579.94[/tex]
BRAINLIST PLS
Based on the information given the balance after 10 years is $4579.94
Balance after 10 yearsUsing this formula
Amount=P(1+r/n)^nt
Where:
P=principle balance=2500
r= interest rate=6.1%
n= Number of times interest compounded per year=4
t= time period=10 years
Let plug in the formula
Amount=2500(1+0.061/4)^4×10
Amount=2500(1+0.01525)^40
Amount=2500(1.01525)^40
Amount=$4579.94
Inconclusion the balance after 10 years is $4579.94
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simplify (3x^2y3)^3 / x3
How do I do this? geometry
Answer:
B. b = mt/v
Step-by-step explanation:
b/t = m/v
bv = tm
b = tm/v
solve the following equations step by step
x + 7 = 4
[tex] \large \text{Answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
[tex]x - 7 = 4 \\ x - 7 + 7 = 4 + 7 \\ x = 4 + 7 \\ x = 11[/tex]
Since your answer is ' 11 '
♡ hope it was helpful for you ♡~
Answer:
Thank you for points
Step-by-step explanation:
Thank you
A scientist tracks wolf populations in two parks. One population consists of 20 wolves and is increasing by an average of 2 per year. The other consists of 15 wolves and is increasing by an average of 3 per year. Write an equation that can be used to determine how many years, y, it will take for the two populations to be equal.
Answer:
it will take 5 years for them to be equal
Step-by-step explanation:
1st year they will be 22-18
2nd year they will be 24-21
3rd year they will be 26-24
4th year they will be 28-27
Finally the 5th year they will be 30-30
The Jurassic zoo charges $6 for each adult admission and $4 for each child. The total bill for 244 people is $1078. He many adults and how many children went to the zoo
Answer:
51 adults and 193 children
Step-by-step explanation:
Number of children = c
Cost for c children = c*4 = 4c
Number of adults = a
Cost for a adults = 6a
Total people = 244
a + c = 244 ---------------(I)
a = 244 - c ----------(II)
Cost for 244 people = $ 1078
6a + 4c = 1078 -------------(III)
Substitute a = 244 - c in equation (III)
6*(244 - c) + 4c = 1078
1464 - 6c + 4c = 1078
1464 - 2c = 1078
-2c = 1078 - 1464
-2c = -386
c = -386/-2
c = 193
a = 244 - 193
a = 51
please answer this fast question in the image.
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
slope m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y2 - y1}{x2-x1}[/tex]= [tex]\frac{4-(-1)}{2-0} = \frac{5}{2}[/tex]
Frank wants to be an astronaut when he grows up. Last weekend, the science center had an interactive space station exhibit. Frank bought a 3-day pass so he could go every day. Since he bought a multiday pass, he saved $10. Frank paid $56 in all. How much does a day at the science center normally cost?