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]
Alicia wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 15 inches by 8 inches by 11 inches. She has 1 square yard of fabric. Can she completely cover the footrest? Explain.
Answer:
no
15 x 8 x 11 is greater than one yard of fabric
Step-by-step explanation:
Volume of a rectangular prism = length x width x height
15 x 8 x 11 = 1320 in^3
1 yard = 36 inches
1320 is greater than 36 inches. she does not have enough yard of fabric
least to greatest 3.2,3.02,3.002,3.03,3.032
Answer:
3.002, 3.02, 3.03, 3.032, 3.2
hope this helps
have a good day :)
Step-by-step explanation:
pls help me!!!!!!!!!!!!!!
Answer:
H
Step-by-step explanation:
To find purple, you divide 162 by 3 as there are 3 people who like red for every one person who like purple. To find blue, you need to divide 162 by 3, which is 54, and then multiply it by 9 because there were 9 people who like blue for every person that liked purple.
Ron made a scale drawing of his bedroom. The scale in
the drawing is 2 inches represents 5 feet. The actual
length of his bedroom was 13 feet. What is the length of
the bedroom on the scale drawing?
PLEASE HELP!!
Answer:
[tex]5.2\:\mathrm{in}[/tex]
Step-by-step explanation:
We can set up the following proportion and solve for length ([tex]\ell[/tex]):
[tex]\frac{2}{5}=\frac{\ell}{13},\\\\\ell=\frac{2\cdot 13}{5}=\frac{26}{5}=\boxed{5.2\:\mathrm{in}}[/tex]
Which equation represents a line parallel to the line shown on the graph?
awser the question below
Answer:
1) 3 miles/h
2) 3 miles
Step-by-step explanation:
6 miles/2h = 3 miles/h
4h = 12 miles
3h = 9 miles
12 - 9 = 3
Answer:
1 is 3 miles an hour and 2 is 3 miles
help! i’ll give brainliest!
Answer: sheeeehhhhhhg
Step-by-step explanation:
Answer:
623
Step-by-step explanation:
To find the top area of the square=26-15=11
Area of the top square= 11 x 13= 143
Are of the bottom rectangle=15 x 32= 480
Area of both the shapes combined= 480+143=623
Please help with this question.
Answer:
A
Step-by-step explanation:
multiply 90 by 54
L times w
Answer:
A 4860 yd²
Step-by-step explanation:
area = length * width
area = 90 yards * 54 yards
area = 4860 yd²
Here are the numbers of times 11 people ate out last month.
4, 6, 6, 6, 3, 7, 3, 3, 7, 6,3
Answer:
ok but what am I supposed to do with it?
Step-by-step explanation:
A triangle has two sides with lengths 7 and 12 which of the folowing lengths could represent the third side
Answer:
If s₃ is the length of the 3rd side, the possible values are in the interval.
5 < s₃ < 19
Step-by-step explanation:
For a triangle, we know that the sum of any two sides is always larger than the other side.
So if a triangle has 3 sides:
s₁, s₂, and s₃, we have:
s₁ + s₂ > s₃
s₁ + s₃ > s₂
s₂ + s₃ > s₁
In this case, we know that two sides are:
s₁ = 7
s₂ = 12
And we want to find the possible values of s₃.
Then if we use the above inequalities, we get:
7 + 12 > s₃
7 + s₃ > 12
12 + s₃ > 7
With the first one we get:
19 > s₃
Now we can rewrite the other two as:
s₃ > 12 - 7 = 5
s₃ > 7 - 12 = -5
The first one is more restrictive than the second:
s₃ > 5 > -5
So we can use only the first one.
Then the two inequalities are
s₃ > 5
s₃ < 19
Then the range is:
5 < s₃ < 19
This means that any value between 5 and 19 can be a possible length of the third side (5 and 19 are not possible lengths)
Mr. Delgado has some young orange trees. He wants to plant them in 49 rows. If t is the total number of orange trees, enter an algebraic expression to represent how many trees he can plant in each row.
HURRY HELP PLS!!!
Answer:which website is it from i can help u better
Step-by-step explanation:
ello i need help -^-
Answer:
d =90 e=52 f=52
Step-by-step explanation:
The angle that are crosppsinding have equal angle.
like f=e.
A penguin walks 10 feet in 6 seconds. At this speed: 1.How far does the penguin walk in 45 seconds? 2.How long does it take the penguin to walk 45 feet? Explain or show your reasoning.
help me i need all of your work
Need help ASAP please
*
Find the area of a triangle: Base of 8 cm Hight of 9 cm
Answer:
36 cm
Step-by-step explanation:
The formula to find the area of a triangle is A=1/2bh where b stands for base and h for height.
So, 8 times 9 equals 72, and 72 divided by 2 is 36.
rick took 320 free throws after practice. He made all but 15 of the free throws.What percent of the free throws rick make?Round to the nearest percent if necessary.
Answer:
95%
Step-by-step explanation:
(320 - 15) / 320 x 100 = 95%
Lance walked 20 miles east and then 21 miles north to get to work. If he walked back home after work using the most direct route, how many miles would he walk on the way back? (Find the hypoteneuse of the triangular path
Answer:
Solution given:
perpendicular [p]=20miles
base[b]=21Mile
hypotenuse [h]=?
we have
By using Pythagoras law
h²=p²+b²
h²=20²+21²
h=√841
h=29miles
he would walk 29 miles on the way back
Need help ASAP DUE SOON AND PLEASE SHOW WORk!!!!
Answer:
87.92 inches cubed or 87.92 in.^3
Step-by-step explanation:
The base of a cylinder is a circle, so we need to calculate the area of the circle first. The equation for the area of a circle is:
area (a) = pi * r^2 =3.14*2*2 =12.56sq.inches
again,
volume of cylinder = area of the base * the height
= 12.56 * 7
= 87.92 inches cubed or 87.92 in.^3
EASY SYSTEM OF EQUATION
Answer:
3,7
Step-by-step explanation:
See steps below:)
Angelica wants to know the proportion of students at her school who use a
certain music streaming service. She interviews a random sample of students
at her school. She finds that 20% of the students in the sample use the music
streaming service. What conclusion can she draw from the sample?
Answer:
she can conclude that 20 percent of the students in the sample use the streaming service.
May i get some help please
Answer:
[tex]\huge\boxed{\sf 995.4 in.\²}[/tex]
Step-by-step explanation:
Area of the circle:
= πr²
Where r = 21 in.
= (3.14)(21)²
= (3.14)(441)
= 1385.4 in.²
Area of triangle:
= [tex]\sf \frac{1}{2} (Base)(Height)[/tex]
Where Base = 20 in. , Height = 39 in.
= [tex]\sf \frac{1}{2} (20)(39)[/tex]
= (10)(39)
= 390 in.²
Area of the shaded region:
= Area of the circle - Area of the triangle
= 1385.4 - 390
= 995.4 in.²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Please help me y’all!!!!
Step-by-step explanation:
a^2 + 2(b - 6) - 17. a = -7 b = 2
= (-7)^2 - 2(2 - 6) - 17
= 49 - 4 + 12 - 17
= 40
Translate the following expression into an algebraic equation: Four less than the sum of 3 and some number is 6.
Answer:
The algebraic equation would be 3 + x - 4 = 6
Please I don’t get this show work please
Carmen makes 8 dollars for each hour of work. Write an equation to represent her total pay p after
working hours
Answer:
8x=p
Step-by-step explanation:
So 8 time the number of hours Carmen works which I used x. Then you’ll get the total.
0.625 rounded to the nearest thousandth
Answer:
the answer is still 0.625
Step-by-step explanation:
the tenths digit is 6, the hundreds digit is 2 and the thousabds digit it 5. SInce it doesn't pass the thousands digit it's fine how it is.
The round off of 0.625 to the nearest thousandth results in 0.626.
To round 0.625 to the nearest thousandth, focus at the digit in the thousandth's place, which is the third decimal place.
In this case, the digit in the thousandth's place is 5.
Since 5 is exactly halfway between 0 and 10, we round up the previous digit, which is 2.
Therefore, rounding 0.625 to the nearest thousandth results in 0.626.
Learn more about Round off here:
https://brainly.com/question/28128444
#SPJ6
Jannie sold 78% of the 50 tickets that she was supposed to sell. How many tickets did Jannie sell?
Answer:
39
Step-by-step explanation:
She sold more than half of the tickets, so the answer is more than 25.
78% of 50 = 39.
39 tickets
PLEASE HELLPPPP!!!!!
Answer:
25
Step-by-step explanation:
if X = 4 then you would do
4(4) + 9
since 4 x 4 is 16
add that by 9
16 + 9 = 25
so the value of 4x + 9 = 25
Hope this helps
Which of these is true? A) 125,673 is less than 115,379. B) 135,692 is greater than 145,692. C) 145,692 is greater than 135,692. D) 145,692 is less than 125,673.
Answer:
C
Step-by-step explanation:
Please help me with my work and I’ll give you brainlessly
Answer:
184
Step-by-step explanation:
V=lwh
(4)(5)(2) = 40
(7)(4)(3) = 84
(2)(5)(4) = 60
40 + 84 + 60 = 184