The area of a rectangular pool is (x + 17x + 72) square meters. The dimensions of the pool are the factors of this polynomial. There is a 3-meter-wide concrete walkway around the pool. Write expressions to represent the dimensions of the outside border of the walkway. (Lesson 21.1)
Answer:
The walkway around the pool makes the entire outer dimensions (outer border)
x+9+2x3=x+15 and x+8+2x3
hope this helps! could i get brainliest plz?
The expressions to represent the dimensions of the outside border of the walkway is (x + 12) meters for the length and (x + 11) meters for the width.
Given area : [tex]x^2 + 17x + 72[/tex]
The factored form of the polynomial is:
[tex]x^2 + 17x + 72[/tex] = [tex]x^2 + 8x+9x+72[/tex]
= x(x+8)+9(x + 8)
=(x + 9)(x + 8)
So, the dimensions of the pool are (x + 9) meters and (x + 8) meters.
The length of the walkway = 3 meters wide
So, the length is added to each side of the pool.
Dimensions of the outside border of the walkway:
Length: (x + 9) + 3 = x + 12 meters
Width: (x + 8) + 3 = x + 11 meters
Therefore, the dimensions of the outside border of the walkway are
(x + 12) meters for the length and (x + 11) meters for the width.
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Lindsay infers that out of 400 people,300 would prefer to watch movies in a theater. Is her inference valid?
Glenn is 5 feet tall. He is as tall as his brother. How tall is Glenn's brother?
o 4/5 (5)=x
O 5=4/5x. I 4/5x
Answer:
If he is 5’0 and he is as tall as his brother then his brother is 5’0
Step-by-step explanation:
EL ARQUITECTO VALDIVIA DONÓ UN TERRENO, COMO EN DE LA SIGUIENTE FIGURA, PARA CONSTRUIR UN PARQUE.
EL COMITÉ DEL FRACCIONAMIENTO VA A CERRARLO Y EMPASTARLO ANTES DE INICIAR EL DISEÑO DE LOS
PLANOS.
Answer:
THE ARCHITECT VALDIVIA DONATED A LAND, AS IN THE FOLLOWING FIGURE, TO BUILD A PARK.
THE FRACTIONATION COMMITTEE IS GOING TO CLOSE AND FILL IT BEFORE STARTING THE DESIGN OF THE BLUEPRINTS.
Step-by-step explanation:
This is what it says in english
A contest gives out prizes for first, second, and third place. First place is $500 more than double third place. Second place is $400 less than first place. All together, $1850 is given out in prizes. How much is each prize worth?
9514 1404 393
Answer:
$1000$600$250Step-by-step explanation:
Let t represent the third-place prize value. Then the first place prize has a value of 2t+500, and the second-place prize is 2t+100. The total value of the three prizes is ...
t +(2t+500) +(2t+100) = 1850
5t +600 = 1850
5t = 1250
t = 250 . . . . . . . . . . . third place prize
2t +500 = 1000 . . . . first place prize
1000 -400 = 600 . . .second place prize
The prizes for 1st, 2nd, and 3rd places are $1000, $600, and $250, respectively.
Pizzazz HELP MEEEE
Lan is shopping for new plants. She has 50 dollars and sees that plants are about $8 each. Write an expression that shows that Lan will spend 50 dollars or less on plants. Do not include units in your expression. (3 points)
Answer:
8x less than or equal to $50
Step-by-step explanation:
bc the x represents the amount of books you can get for 8 dollars per book and can be less than or equal to, but not greater than 50, the max amount you may spend
hope this helped :)
What is the area of polygon ABCDE?
Need answers ASAP!
Will give brainliest if possible!!
Answer:
66 cm
Step-by-step explanation:
You can find the area of the rectangle by simply multiplying the sides that are complete and don't touch the triangle. That is equal to 60 cm.
To find the area of the triangle, you first have to find the sides. You can find the first side by subtract the top side of the rectangle from the bottom, which gets us 3 (12-9). Then subtract the left side (5) from the right side (9) (9-5), which gets us 4. That would mean that 3*4*1/2 is equal to 6. 6+60 is equal to 66 cm.
Hope that this helps!
A circular garden is 20 feet across; a gardener wants to cover it with sod. If each sod piece is two square feet, how much sod will be needed?
Answer:
750
Step-by-step explanation:
Enter the correct answer in the box
The number of cups of sports drink that can be filled from a cooler varies inversely with the capacity of each cup. If each cup holds
6 ounces, 128 cups can be filled.
Write an equation that can be used to find the number of cups, c, of sizes ounces that can be filled from the cooler.
Answer:
the equation should be c=768/s or c s=768.
Step-by-step explanation:
This situation involves inverse variation, so the equation will either take the form c=6/3 or the form cs=k.
To write a general equation for this situation, find the value of k. Use the form cs=k and the point (128,6) since the container can fill 128 cups holding 6 ounces each.
cs=k
(128)x(6)=k
768=k
Using 768 for k, the general equation is c=768/s or cs=768.
The equation for the number of cups for a specific size can be written as c = 768/x.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The amount of drinks carried by each cup is 6 ounces.
And, the total number of cups are 128.
Then,the total amount of drink is 128 × 6 = 768 ounces.
Suppose the number of cups be c.
And, the size of each cup be x.
The following equation can be written for the number of cups as,
c = 768/x
Hence, the equation that describes the number of cups for the given case is c = 768/x.
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PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!
A student graphed f(x)=x and g(x)=f(x)−2 on the same coordinate grid. Which statement describes how the graphs of f and g are related?
A The graph of f is shifted up two units to create the graph of g.
B The graph of f is less steep than the graph of g.
C The graph of f is shifted down 2 units to create the graph of g.
D The graph of f is steeper than the graph of g.
Answer:
A The graph of f is shifted up two units to create the graph of g.
Step-by-step explanation:
How many square feet of outdoor carpet will
we need for this hole?
Answer:
30 square feet
Step-by-step explanation:
Bottom rectangle: 2*5 = 10
Middle rectangle: 2*6 = 12
Top rectangle: 2*4 = 8
Total: 10 + 12 + 8 = 30
what is 5(2x - 7) = step by step equation need please and thank you
Jamal is baking 4 batches of chocolate chip cookies. He needs 2 13 cups of sugar for each batch. Which expression could be used to determine the total amount of sugar that Jamal needs?
Answer:
8/13 cups of sugar
Step-by-step explanation:
Jamal is baking 4 batches of chocolate chip cookies. He needs 2 13 cups of sugar for each batch. Which expression could be used to determine the total amount of sugar that Jamal needs?
For the above question
1 batch of chocolate chips cookies = 2/13 cups of sugar
4 batches = x
Cross Multiply
x = 4 × 2/13 cups of sugar
x = 8/13 cups of sugar
solve attached problem
Answer:
what is the dot for?
Step-by-step explanation:
hellllllp how do you do this?
helllllllpppppppppp!!!!!!!!
Answer:
i dont know
Step-by-step explanation:
.
Please help me solve :(((
Answer:
θ ≈ 15°
Step-by-step explanation:
Using the sine rule in the triangle
note 7.56 × 10² = 756 and 2.4 × 10³ = 2400 , then
[tex]\frac{756}{sin0}[/tex] = [tex]\frac{2400}{sin125}[/tex] ( cross- multiply )
2400 × sinθ = 756 × sin125° ( divide both sides by 2400 )
sinθ = [tex]\frac{756sin125}{2400}[/tex] , then
θ = [tex]sin^{-1}[/tex] ( [tex]\frac{756sin125}{2400}[/tex] ) ≈ 15° ( to the nearest degree )
Alex, x, saved 30 dollars and Ethan saved 1
3
more than that.
Ethan saved _______________ dollars
4Please help!! Geometry, will mark brainliest!
Which one of these grids is shaded red and blue in the ratio 0.5:1?
А.
B
C
D
E
Fחד
Answer:
C
Step-by-step explanation:
0.5 red : 1 blue
1 red : 2 blue
1.5 red : 3 blue
2 red : 4 blues
2.5 red : 5 blue
3 red : 6 blue
3.5 red : 7 blue
4 red : 8 blue
(per every half a red, there is one whole blue)
C has 4 red and 8 blue
0.5 red x 8 blue = 4 red
1 blue x 8 blue = 8 blue
A trader bought 20 cups of rice at 5 cups for 100 naira and sold them at 4 cups for 100naira . what was his profit
Answer:
He is making 20 naira profit for every 4 cups that he sells for 100 naira
Therefore, if he selled all this cups for 100 naira per 4 cups he made a total profit of 100 naira
State the point of intersection
I’ll give you brilliance!
Please explain how you got your answer
Rick is currently 72 inches tall. He wants to compare himself to his friend who is 5 feet and 11 inches tall. How many inches taller is Rick than his friend?
Answer:
1 inch
Step-by-step explanation:
We would have to convert rick's friends height to inches
1 feet = 12 inches
Friend's height = (12 x 5) + 11 = 71 inches
Difference in height = 72 - 71 = 1
find the geometric mean of 50 and 4
Mean also means average.
[tex]\frac{50+4}{2}=\frac{54}{2} =27[/tex]
Pls I need help and do not post that link thank you
Answer:
4 the one
hope 5hid will you
I WILL MARK YOU BRAINLIEST JUST PLZ HURRY What is the rule to find the value of the missing term in the sequence in the table at the right? justify your answer
Answer:
(x-1)x4+1
each value is increasing by exactly 4 for each step shown, starting with 1.
so, 2 becomes
(2-1)= 1
1x4= 4
4+1=5
A salesman earend a $325 salery this month. His total sales were $700. If the salesman earend a total of $360. What was his commission rate?
Answer:
Commission rate= 5% of sales
Step-by-step explanation:
Giving the following information:
Fixed salary= $325
Monthly salary= $360
Sales= $700
First, we need to calculate the commissions:
Commission= monthly salary - fixed salary
Commission= 360 - 325
Commission= $35
Now, the commission rate:
Commission= commission rate* sales
35 = commission rate*700
0.05= commission rate
commission rate= 5% of sales
Need Help ASAP! Use pie as 3.14.Please solve thoroughly please and thank you!
No need to use pi for this problem! So we're finding the area of a trapezoid. It's made up of: a square with length and width 2, and two triangles with a base 2 and height 2.
Area of a triangle formula is [tex]A = \frac{1}{2} B\cdot h[/tex]
[tex]A = \frac{1}{2}\cdot2\cdot 2[/tex]
[tex]A = \frac{1}{2}\cdot 4[/tex]
[tex]A = 2[/tex] units^2
And since the two triangles are the same, the other triangle has the same area: 2 units^2
For the square we can use [tex]A = l\cdot w[/tex]
[tex]A = 2 \cdot 2[/tex]
[tex]A = 4[/tex]
Combine the areas: the total area is 2 + 2 + 4 , = 8 units^2
Answer:
8 units²
Step-by-step explanation:
In order to find the area of this trapezoid, you can apply the formula for the area of a trapezoid: ([tex]b_{1}[/tex] + [tex]b_{2}[/tex]) × h/2
In the equation, you already know base one (2) and the height (2), but base two isn't given. To find the length of the whole base, you need the length of the other side of the square: You can tell that it is two because the two given sides of the square are 2.
Since you now know that the length of the missing side of the base is 2, you can add the three values given to get the base length:
2 + 2 + 2 = 6
Now, you have all the information needed to find the area of the trapezoid. Input them all into the equation:
([tex]b_{1}[/tex] + [tex]b_{2}[/tex])*h/2 where [tex]b_{1}[/tex] is 2, [tex]b_{2}[/tex] is 6, and h is 2,
(2 + 6) × 2/2
= 8 × 1
= 8 units²
Ok, 20 points for this one
Answer:
x = 7Step-by-step explanation:
2 angles are added to result in = 180°
therefore
180 = 97 - 3x + 69 + 5x
180 = 166 + 2x
2x = 180 - 166
2x = 14
x = 14 ÷ 2
x = 7 ✅The value of x = 7
______________
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- kexcvi
I NEED HELP PLEASE A rectangle has a length of 3x+5 and a total area is + 11x +10 find the width of the rectangle.
Answer:
3.667+ 2
Step-by-step explanation:
Area of a rectangle = length x width
11x + 10 = (3x +5) x width
to determine the width, divide both sides of the equation by 3x + 5
(11x + 10) / (3x + 5) = width
width = 3.667 + 2