Answer:
[tex]A_w=238x-2176[/tex]
Step-by-step explanation:
From the question we are told that:
Length of pool [tex]L=34ft[/tex]
Width of Pool [tex]W=x[/tex].
Brick walkway Width [tex]W_b=4[/tex]
Generally the expression for a Area of pool is mathematically given by
[tex]A=L*W[/tex]
[tex]A=34*x[/tex]
[tex]A=34x[/tex]
Generally the expression for a Area of pool + Walkway is mathematically given by
[tex]A'=L'*B'[/tex]
where
[tex]L' =L+2(W_b)[/tex]
[tex]L' =34+2(4)[/tex]
[tex]L'=34+8[/tex]
[tex]L'=272[/tex]
And
[tex]W'=W+2(W_b)[/tex]
[tex]W' =x+2(4)[/tex]
[tex]W' =x+8[/tex]
Therefore
[tex]A'=L'*B'[/tex]
[tex]A'=(272)*(x+8)[/tex]
[tex]A'=272x+2176[/tex]
Generally the expression for a Area of Walkway is mathematically given by
[tex]A_w=Area\ of\ Pool+Walkway-Area\ of\ Pool[/tex]
[tex]A_w=A'-A[/tex]
[tex]A_w=272x+2176-34x[/tex]
[tex]A_w=238x-2176[/tex]
Kevin will take 4 math tests this term. All of the tests are worth the same number of
points. After taking the first 3 tests, his mean test score is 88 points. How many points
does he need on his last test to raise his mean test score to 90 points?
Answer:
96
Step-by-step explanation:
Total of 4 test at 90
90 * 4 = 360
Current total
88 * 3 = 264
Score needed
360 - 264 = 96
Answer:
96
Step-by-step explanation:
this is how i solved it:
88 x 3 = 264 ( the sum of the three test score )
now i just gotta look for a number to add to 264 that will give me 90 (the wanted mean score) if i divide the sum by 4 (the four test scores).
so the equation would be:
(264 + x) / 4 = 90
264 + x = 360
x= 96
4. Find the roots of the equation 30x – 45 = 5x? by factoring.
Answer:
[tex]x = 1\frac{4}{5}[/tex]
Step-by-step explanation:
Factor and set each factor equal to zero.
Answer:
Step-by-step explanation:
30x-45=5x
30x-5x=45
25x=45
x=45/25
x=9/5
Which linear function has a y-intercept of -5?
Answer: Upper right corner (northeast corner)
x-3y = 15
===================================================
Explanation:
The y intercept always occurs when x = 0.
If we plug x = 0 into 2x+y = -10 (northwest corner), then we solve for y to get...
2x+y = -10
2(0)+y = -10
0+y = -10
y = -10
We see that the y intercept here is -10, but we want -5 instead. So we can rule this out.
In the northeast corner, plugging x = 0 leads to,
x-3y = 15
0-3y = 15
-3y = 15
y = 15/(-3)
y = -5
We get the correct y intercept we're after. So we can stop here.
If you plugged x = 0 into the equation of the southwest corner, you'll get y = 5 which is fairly close but not quite what we want. The southeast corner equation leads to a y intercept of y = 5 as well.
Answer:
x - 3y = 15
Step-by-step explanation:
x - 3y = 15
-3y = -x + 15
y = 1/3x - 5
-5 is the y-intercept.
what is 15/3 equal to
Answer: 5
Step-by-step explanation:
Smh
Calculate the volume of the composite solid.
Answer:
about 33.52 in^3
Step-by-step explanation:
Volume of composite figure = volume of cone + volume of hemisphere
Volume of a cone = 1/3(nr^2h)
n = 3.14
r = radius
h = height
1/3 x 3.14 x 2^2 x 4 = 16.74 inches^3
volume of a hemisphere = (2/3) x (n) x (r^3)
n = 3.14
r = radius
2/3 x 3.14 x 2^3 = 16.74 inches^3
16.74 inches^3 + 16.74 inches^3 = 33.49
3.2/.8=
help pls
also the steps to doing it.
Answer:
4
Step-by-step explanation:
I don't really know how to show the steps, but one of the easiest ways to do this is to see how many times 0.8 goes into 3.2. So 0.8 + 0.8 + 0.8 +0.8 = 3.2 So 3.2/0.8 is 4
Or you can multiply the numerator and denominator by 10, which keeps the value of the fraction but gets rid of pesky decimals: 32/8 this should be fairly straight forward and a key reason to memorize your times tables. 8*4=32
A garden hose is leaking 1 liter of water every 1/8 hour. How many liters of water will it leak in 3 ¾ hours? *
Find the area of the figure F2 cm
2 cm
5 cm
5 cm
Answer:
the answer would be 20cm^2 i took a quiz.
Step-by-step explanation:
14.How long will it take a car to go from a complete stop to 44 km/hr if they are accelerating at 5
km/hr2?
Answer:
8.8
Step-by-step explanation:
i hate copy and pastes
Answer:
why they're so helpful
Step-by-step explanation:
Answer:
Me too it so much wooooorrrrkkk
Step-by-step explanation:
WHAT IS THE PROBABLITY OF GETTING FACE CARD?
Answer:
3/13?
Step-by-step explanation:
Which number is rational
Answer:
Step-by-step explanation:
[tex]\sqrt{81}[/tex] is the rational number because it is the perfect square of 9.
Write an inequality for the graph below.
please help
Answer:
-6 ≥ -1
Step-by-step explanation:
Hope this helps!
6. Mary worked 27 hours last week. If she gets paid $12/hour, what is her
gross pay?
Answer:
324
Step-by-step explanation:
you would multiply 27 × 12 and that would equal 324
What additional information is needed to prove that ∆LPM and ∆OPN are congruent by SAS postulate?
A. ∠P ≅ ∠P
B. ∠LPO ≅ ∠MPN
C. ∠LPM ≅ ∠OPN
D. ∠PON ≅ ∠PLM
Answer:
hggh
Step-by-step explanation:bmv,g,vg,cvbbgfghvc
Which of the following angles in standard position has a measure between 90° and
180°?
What is 1519 rounded to the first digit
Answer:
1520
Step-by-step explanation:
hope it is helpful
WILL MARK BRAINLIEST!!!
Jamie is going on a trip to visit her grandparents. The airline allows each suitcase to hold 50 pounds. She has already packed clothes and other things that weigh a total of 26 pounds. The inequality p + 26 ≤ 50 can be used to see how much more she can pack in the suitcase.
Why is this problem written as an inequality instead of an equation?
Answer:
Because the airline allows each suitcase to hold up to 50 pounds, and it doesn't force them to hold exactly 50 pounds
Answer:
Step-by-step explanation:
b/c she doesn't have to have exactly 50 pounds, she can have any were from 0 to 50 pounds in each suit case. They are not going to charge her more, if she only brings 49 pounds :DDDD It's the same charge up to and including 50 pounds. If she brings 51 pounds then maybe she would get charged more :P But not for 50 pounds or less . :) Make sense?
Pls help kendjehdjjekekebwvujfjej
Answer:
B. 4n²+11n-6
Step-by-step explanation:
________________
On a map, 1 inch equals miles. Two houses are inches apart on the map. What is the actual distance between the houses? Use pencil and paper. Show how you can represent the scale with two different ratios.
Answer:
The actual distance between the houses is 18.9 miles.
Step-by-step explanation:
The exact question is as follows :
Given - On a map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.
To find - What is the actual distance between the houses?
Solution -
Given that,
1 inch = 5.4 miles
⇒3.5 inches = 3.5 × 5.4 miles
= 18.9 miles
∴ we get
The actual distance between the houses is 18.9 miles.
PLS HELP ILL GIVE BRAINLIEST
Answer:
answer is 8
Step-by-step explanation:
take Lcm of 8 and 32
Answer:
8
Step-by-step explanation:
Ani was told to write the number four and eight hundredths. She wrote 4.8. Was Ani correct or incorrect
4•(-6) • (-2) =
plz help
Answer:
should be 48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
Apply rule- a * (-b) = -a * b
4 * (-6)
= -24(-2)
= 48
Hope this helps:)
Did I get this right ?
Answer:
square root of 15 is the answer
Step-by-step explanation:
HELP I HAVE 20 MINUTES!!!!!!!!!
At Shoe Line, there are 132 boots, which make up 24% of the shoes in the store. At Shoe Warehouse, there are 120 boots, which make up 15% of the shoes in the store.
Which store has more shoes? Justify your answer by showing your work or the strategy you used.
Answer:
Shoe warehouse
Step-by-step explanation:
24% of ____ is 132
15% of ____ is 120
first lets solve what there is at shoe line. since 24% times something is 132, something is 132/24%. Since % means out of 100, do 132/24*100 is 550.
Next we do the same thing to get 120/15 * 100 = 800. So, there are more at shoe warehouse.
hope this helped, and brainliest would be appreciated :)
A cube block has sides 8cm long. A cylindrical hole of radius 3.6 is drilled through the block. Find the volume of the block that remained
Answer:
186.45 cm^3
Step-by-step explanation:
Given data
Side lenght of cube block= 8cm
Radius of cylindrical hole= 3.6cm
Volume of entire Shape= l^3
Volume of entire Shape= 8*8*8
Volume of entire block= 512cm^3
Volume of cylindrical hole= πr^2h
Volume of cylindrical hole= 3.14*3.6^2*8
Volume of cylindrical hole= 3.14*12.96*8
Volume of cylindrical hole= 325.55cm^3
Hence the volume of the block
=volume of entire shape- volume of cylinder
=512-325.55
=186.45 cm^3
The diagram shows different forms of thermal energy transfer.
What do the flames below the pot represent?
I NEED HELP PLEASE IT WOULD HELP ME ALOT
Answer:
Step-by-step explanation:
21 is the side opposite the angle you want.
67 is the hypotenuse. Those two sides define the Sin
Sin(theta) = opposite / hypotenuse
Sin(theta) = 21 / 67
Sin(theta) = .313432
theta or x = sin-1(0.313432)
x = 18.27
Sorry, I must have hit the wrong key the first time.
Answer:
18.27˚
Step-by-step explanation:
hi, can you please show me the solution on this one?
How many different batting orders can a coach make from the 9 players?
362,880
9
40,320
i'll give brainliest if you're right! thanks in advance..
Answer:
362,880
Step-by-step explanation:
Since there are 9 possible players for the first position, 8 for the 2nd (1 is taken off), 7 for the 3rd, etc. So you would multiply these numbers together. So there are 362,880 different possible batting orders.
ASAP
-WILL MARK BRIANIST
Answer:
25 + x = y
Step-by-step explanation:
Answer:
25+x=y
Step-by-step explanation:
25 plus the birthday cards(x)= total cards(y)