Answer:
А.The system has two solutions, but only one is viable because the other results in a negative width.
Step-by-step explanation:
Given
Let:
[tex]L_A \to[/tex] length of play area A
[tex]W_A \to[/tex] width of play area A
[tex]L_B \to[/tex] length of play area B
[tex]W_B \to[/tex] width of play area B
[tex]x \to[/tex] Area of A
[tex]y \to[/tex] Area of B
From the question, we have the following:
[tex]L_A = 1 + 4W_A[/tex]
[tex]W_B = 2 + W_A[/tex]
[tex]L_B = 2 + 3W_B[/tex]
[tex]x = y[/tex]
The area of A is:
[tex]x = L_A * W_A[/tex]
This gives:
[tex]x = (1 + 4W_A) * W_A[/tex]
Open bracket
[tex]x = W_A + 4W_A^2[/tex]
The area of B is:
[tex]y = L_B * W_B[/tex]
[tex]y = (2 + 3W_B) * ( 2 + W_A)[/tex]
Substitute: [tex]W_B = 2 + W_A[/tex]
[tex]y = (2 + 3(2 + W_A)) * ( 2 + W_A)[/tex]
Open brackets
[tex]y = (2 + 6 + 3W_A) * ( 2 + W_A)[/tex]
[tex]y = (8 + 3W_A) * ( 2 + W_A)[/tex]
Expand
[tex]y = 16 + 8W_A + 6W_A + 3W_A^2[/tex]
[tex]y = 16 + 14W_A + 3W_A^2[/tex]
We have that:
[tex]x = y[/tex]
This gives:
[tex]W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2[/tex]
Collect like terms
[tex]4W_A^2 - 3W_A^2 + W_A -14W_A - 16 =0[/tex]
[tex]W_A^2 -13W_A - 16 =0[/tex]
Using quadratic calculator, we have:
[tex]W_A = -14.1[/tex] or [tex]W = 1.13[/tex] --- approximated
But the width can not be negative; So:
[tex]W = 1.19[/tex]
choose 3 values that would make this inequality true 28 + x > 42
100
0
13
15
5
14
24
Answer:
100, 15, 24 I think that is it
Step-by-step explanation:
Answer: 100, 24, 15
Step-by-step explanation:
28+100= 128, 128>42
28+24=52, 52>42
28+15=43, 43>42
which of the following mean the same as x-intercept?
Answer:
(A), (D), and (E)
Step-by-step explanation:
In a quadratic function, the solutions are always on the x-axis, which means that it can be another word for x-intercept. Also, a zero and a root are the same thing, and they are both x-intercepts. Hope this helps!
One question PLZZZZZZZZZZZZ help
Step-by-step explanation:
30 ==> 8 + (30×3) = 8+90= $98
for $112 =
(122-8)÷3
= 114 ÷ 3 = 38 people
Three plus the number a is greater than or equal to 19
Answer:
a[tex]\geq[/tex]16
Step-by-step explanation:
3+a[tex]\geq[/tex]19
-3 -3
a[tex]\geq[/tex]16
(see below) (The line I drew represents where a is and if it is to be greater or equal to it must be 16 or over)
Jan says that a rhombus is a parallelogram and that every parallelogram is also a rhombus. Is Jan correct?
Answer:
No
Step-by-step explanation:
A parallelogram has opposite sides parallel and equal in length. Also, opposite angles are equal. Squares, rectangles, and rhombuses are all parallelograms. So all parallelograms are not rhombuses.
help with these all no links- I MEAN IT! and no oh i just came for the points cr_ap brainlyest if correct
Answer:
#1
Least value = 5#2
Median = 56, option C#3
Median = 113, option C#4
A = 10, the minimum point#5
Q1 = 99.5, the median of the lower half of data, option CRobert paid $41.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents? Type in your answer without the '$' sign.
Answer:
10.25
Step-by-step explanation:
hope this helps with the problem
Andrea is selling scooters. This equation shows how Andrea's revenue () depends on the number of scooters sold (x). y = 4x How much revenue does Andrea get for each scooter?
Answer:
Andrea get for each scooter?
Step-by-step explanation:
Michelle has a piece of yarn measuring 7 yards. How many 1-inch strips can be cut from the yarn?
A) 252 strips
B) 216 strips
C) 180 strips
D) 144 strips
Answer:
c
Step-by-step explanation:
find the range 7,6,5,9,5,8,2 please include work!!
Answer:
7.
Step-by-step explanation:
Range = highest value - lowest
= 9 - 2
= 7.
how do we say the expression in words?
can somebody help me pls rn
Answer:
Step-by-step explanation:
1 Escritura unida
Según la NGLE se unen las palabras que se interpretan como una unidad y en las que, por tanto, la marca de plural solo afecta al último elemento:[1]
el bajorrelieve, los bajorrelieves
la mediapunta, las mediapuntas
En un buen número de casos, el primer elemento puede seguir teniendo individualidad para parte de los hablantes y admitir la marca del plural. La Gramática admite algunos de esos casos, de modo que las dos formas son posibles, que se escribirán unidas o separadas según se dé ese plural o no:
el puercoespín, los puercoespines; el puerco espín, los puercos espines
el arcoíris, los arcoíris; el arco iris, los arcos iris
el medioambiente, los medioambientes; el medio ambiente, los medios ambientes.
el pavorreal, los pavorreales; el pavo real, los pavos reales
La Gramática prefiere, como norma general, la forma en una palabra.
HELP ITS URGENT
a. b. c. or d.???
Answer:
It's the last option, (a-c)√x + b√y
Step-by-step explanation:
Dakota earned $8.75 in interest in Account A and $28 in interest in Account B after 21 months. If the simple interest rate is 3% for Account A and 4% for Account B, which account has the greater principal?
so B should be the answer
Step-by-step explanation:
account a would have 16.42 in their account after 21 months and b would have 64.77 after 21 months also
What is the Area of the compound shape below? *
Answer:
22m²
Step-by-step explanation:
2 wide, 9 height is 18 for the rectangle figure. We see that the rectangle figure has a width of 2 while the entire width is 4. So 4-2 means the width of the right triangle that's split off is 2.
We see the rectangle height is 5, and total figure is 9, so 9-5 = height of 4 for the triangle.
4x2 x 1/2(since its a triangle) = 4
4+18 = 22
36x+27y in factored form
Find the area for a triangle that has a base of 24 inches and a height of 4 inches.
28 in 2
48 in 2
cannot be determined
96 in 2
Answer:
48in²
Step-by-step explanation:
to find the area of a triangle you first divide the base by 2 then multiply it by the height
A dog shelter had 19 puppies last month. This month, 38 puppies are at the shelter. What is the percent of change?
im in 7th grade
Answer:
I believe the answer MAY be 1.9%
A warehouse has a height of 8 2/10 meters, length of 120 meters, and width of 20 3/10 meters. What is the volume of the warehouse?
Volume = 119975.2 meters3
Patti records the heights and the shoe sizes of the girls on her volleyball
team. She plots the data and makes a scatterplot comparing shoe size and
height. Patti finds that the trend line that best fits her results has the equation
y= 2x + 52.
If a girl on her team wears a size 3 shoe, how many inches tall would Patti
expect her to be?
A. 58 inches B. 60 inches. C. 64 inches D. 62 inches
Answer:
58 inches
Step-by-step explanation:
Just did it
Answer:
( A ) p 3 x
Step-by-step explanation:
57:50
What is the solution to the equation?
-9
a+53 -
3+53-9
a-
at
9
a
a+
Answer:
a-
Step-by-step explanation:
hi
find the distance.show your work.
intial velocity is 30.20 meter per second and time Is 32.8 second
Answer:
990.56
Step-by-step explanation:
because, Distance=velocity× time
Part A A
Select the number that is greater
15x15x15 or
13x13x13
Help!
Answer:
15x15x15
Step-by-step explanation:
13x13x13= 2197
15x15x15= 3375
Waylon bought 8 pizzas and spent a total of $96. How much did each pizza
cost?
Answer:
12 (Waylon's a big eater)
Step-by-step explanation:
To find how much one pizza cost, we simply divide the cost and the total amount, so:
96 ÷ 8 = 12
-------
Have a good day :)
Can someone please help me
Tyra’s father is two years more than three times as old as she is. If Tyra is nine years old, how old is her father?
A-29
B-27
C-17
D-18
E-32
Answer:
A - 29
Step-by-step explanation:
she is Nine so
her dad will be
2+9×3
2+27
29
Answer:
hi how are you doing today Jasmine
Determining the Length of a Rod
Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the nearest inch, what is the length of the longest metal rod that can be sent?
11 inches
12 inches
13 inches
14 inches
The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.
To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.
In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:
diagonal = √(side^2 + side^2 + side^2)
Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:
diagonal = √(7^2 + 7^2 + 7^2)
diagonal = √(49 + 49 + 49)
diagonal = √147
diagonal ≈ 12.124 inches
Therefore, the correct answer is:
12 inches
This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.
For more such questions on metal rod
https://brainly.com/question/14071390
#SPJ8
im not smart i still don't know how to do it
I'M SORRY I GOT IT WRONG
Find the area of triangle ABC.
Answer:
ans no b if you will apply the formula
Step-by-step explanation:
i think it's no b
Answer:
222.33 ft^2
Step-by-step explanation:
The formula to find the area of a triangle with two sides and an included angle is:
A=[tex]\frac{1}{2}[/tex]absin(C),
where a and b are the two sides and C is the angle in between.
Area=[tex]\frac{1}{2}[/tex]*32*19*sin(47)≈222.33
222.33 ft^3
WILL GIVE BRAINLIEST!!!!!!!!!!!! 20 points
Answer:
if they are same exact thing but mirrored, then just mirror it the way it needs to.
Example
-1 in the second by -3.4, 3.4 by 1
Hello! Would appreciate some help. :)
Given this number line, CD=?
Answer:
sorry its 2
Step-by-step explanation:
from 11 to 13 it is 2