Answer:
The crib is 30 inches wide and 23 inches long.
Step-by-step explanation:
Assuming that the crib is rectangular, then the crib has a length L and a width W.
And remember that for a rectangle of width W and length L, the perimeter is:
P = 2*L + 2*W = 2*(L + W)
And the area is:
A = L*W
In this case, the perimeter is 106 in, then:
P = 106in = 2*(L + W)
And we also know that the area is 690 in^2
Then:
A = 690in^2 = L*W
Then we have a system of equations:
106in = 2*(L + W)
690in^2 = L*W
To solve this, first, we need to isolate one of the variables in one of the equations.
Let's isolate L in the first one:
106in/2 = L + W
53 in = L + W
53in - W = L
Now we can replace this in the other equation:
690in^2 = L*W = (53in - W)*W = 53in*W - W^2
690in^2 = 53in*W - W^2
Now we need to solve this for W.
This is a quadratic equation:
W^2 - 53in*W + 690 in^2 = 0
The solutions of this equation are given by Bhaskara's formula:
[tex]W = \frac{-(-53in)\pm \sqrt{(-53in)^2 - 4*1*(690in^2)} }{2} = \frac{57in \pm 7in}{2}[/tex]
Then the two possible solutions of W are:
W = (53in + 7in)/2 = 30in
W = (53in - 7in)/2 = 23in
We can choose any one of these, so let's choose W = 30in
If we replace this in the equation: "53in - W = L"
We can find the value of L:
53in - 30in = 23in = L
Then we have:
W = 30in
L = 23in
What is the definition of the slope of a line?
PLS help plssss 30 points plssss and how how u know it’s math plssssss helppppp plsssss
Answer:
Complementary angles sum to 90°
x + 73° = 90°x = 90° - 73°x = 17°Suppose that an individual has a body fat percentage of 13.6% and weighs 189 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
HELPPPPPP!!!!!!!!!!
Answer:
25.7 lbs
Step-by-step explanation:
189/100=1.89
1.89*13.6=25.704
25.7 lbs
Answer:
25.7
Step-by-step explanation:
You need to do 13.6 percent of 189 which is 25.704 without rounding
Round that to the nearest tenth and you have 25.7
Hope I helped :)
5.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
A. 1/150 dollars per day; the cost is $1 for 150 days.
B. 25/1 dollars per day; the cost is $25 for each day.
C. 1/25 dollars per day; the cost is $25 for each day.
D. 75/1 dollars per day; the cost is $75 for each day.
Answer:
B
Step-by-step explanation:
75 divided by 3 = 25
so 25 dollars each day
Answer:
B. 25/1 dollars per day; the cost is $25 for each day.
Step-by-step explanation:
70/5.2 + 16-1 helppppp
Answer:
28.4615384615
28.46
Step-by-step explanation:
Answer:
28.46, if this help please subscribe to amiredagoat Yt i wanna change the world.
Step-by-step explanation:
Find the lateral surface area of the prism. 1.5ft 3ft 4ft
Answer:
ammmm walang lumabas
Step-by-step explanation:
sorry talaga po sa susunod nalang
Circles A, B, and C overlap. The overlap of circles B and C is labeled x.
Which statements are true about x? Select three options.
x ∈ B ⋃ C
x ∈ B ∩ C
x ∈ A ⋃ C
x ∈ A ∩ C
x ∈ A
Given:
Circles A, B, and C overlap.
The overlap of circles B and C is labeled x.
To find:
The three correct statements about x.
Solution:
It is given that the overlap of circles B and C is labeled x. It means x represent the common elements of B and C.
So, x belongs to the intersection and union of B and C.
[tex]x\in B\cup C[/tex]
[tex]x\in B\cap C[/tex]
Since x is the element of C, therefore it is also the element of A union C.
[tex]x\in A\cup C[/tex]
The overlap of circles B and C is labeled x. It means [tex]x\notin A[/tex]. So,
[tex]x\notin A\cap C[/tex].
Therefore, the correct options are A, B and C.
Answer:
A, B and C.
Step-by-step explanation:
edge
17 cm
17 cm
8 cm
3 What is the surface area of the triangular
prism shown?
A 1,430 cm?
B 2,360 cm?
35 cm
C 2,480 cm?
D 4,200 cm
I
Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Elizabeth to end up with $670?
Answer:
4.2
Step-by-step explanation:
took a bullet for the team
Elizabeth would need an interest rate of 4.25% to make a profit of $670, to the closest hundredth of a percent.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.
Given, Elizabeth is going to invest $480 and leave it in an account for 8 years.
from the formula of compound interest
A = P(1 + r/n) ^nt
in our case,
A =670
P = 480
t = 8
Thus,
670 = 480(1 + r)^8
r = 4.25%
Therefore, an interest rate, to the nearest tenth of a percent, would be 4.25% required in order for Elizabeth to end up with $670
Learn more about compound interest here:
https://brainly.com/question/29335425
#SPJ2
what is summer academy help fr fr ☝️
Answer:
Summer school (or summer university) is a school, or a program generally sponsored by a school or a school district, or provided by a private company, that provides lessons and activities during the summer vacation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the advantage of valence number?
Answer:
The presence of many unpaired electrons in the valence shell of an atom enables it to form multiple bonds with other atoms. The paired electrons present in the valence shell do not take participate in the formation of chemical bonds as per the valence bond theory.
Find the area of the circle from the given diameter.
d= 4 ft
a 11.4 ft2
b 12.56 ft2
C 10.81 ft2
d 14.98 ft2
Answer:
B is our answer 12.56
When finding area for circles we do
radius x radius x pi
Since we don't have the radius in the problem we have to figure it out but it wont be so hard knowing that the radius is half of the diameter so 4 ÷ 2 = 2 so 2 is our radius now we need tp square it in easier words multiply by itself so
2 x 2 = 4 then we just do 4 x pi!
So 4 x 3.14 = 12.56 So our answer is 12.56
Hope this helps!
HELP PLSSSSSSS
NO LINKS
Answer:
Is there anything else to this like a description or a sentence?
Step-by-step explanation:
Sorry I need more than this
What is the image of (-4,-4) after a dilation by a scale factor of 3 centered at the
origin?
Answer:
(-12, -12)
Step-by-step explanation:
Since the scale factor is 3, you would multiply the x-coordinate and y-coordinate by it.
-4×3=-12
Hope this helps!!
Which of the following is a vertex of the figure shown below after a reflection in the y axis?
Answer:
A.
Step-by-step explanation:
( 5,0)
When x axises is a reflection in the y axis
A 65 kg rock climber goes up a cliff. What is his potential energy if he is 35m from the
Base as of the cliff?
Answer:
22295 Joules
Step-by-step explanation:
Potential energy = mgh
⇒Potential energy=65 × 9.81 × 35=22295 J
NB 9.8 can be substituted with 9.81 or 10 depending on what they provide the constant as.
What is the absolute maximum or minimum of f(x) = 3x^2-5x-9
Answer:
Absolute minimum / vertex = (5/6,-133/12)
Step-by-step explanation:
Since a is positive, then the absolute maximum is ∞. The absolute minimum would be the vertex of the parabola, meaning x=-b/2a=-(-5)/2(3)=5/6, and y=3(5/6)^2-5(5/6)-9 = -133/12. Therefore, your absolute minimum / vertex is (5/6,-133/12)
solve for x and y x+y=a;x-y=b
Answer:
x = a + b - a/ 2
y = - b - a/ 2
Step-by-step explanation:
Suzanne pours 260 mL of milk into her glass.
Which expression shows how Suzanne could find this amount of milk in liters?
Answer:
1 L = 1000 mL
Step-by-step explanation:
B. 260 × 100
HELP ME NOWWWWWW. thanks.
Answer:
LETTER C. PO 40 ang sagot
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
In the first one answer is r²
In second one answer is 3
Step-by-step explanation:
Yes it is Algebra with different powers
In first one (6r4+4r) +(__- 2r4 + 3r) = 4r4 + r2 + 7r
Like terms are added:
6r^4- 2r^4 + 4r + 3r +____ = 4r^4 + r2+ 7r
4r^4+7r +___ = 4r^4 + r^2 + 7r
Therefore ___ = r^2
In second one:
(__ -8x - x^2)-(4x^2 -7 +6x) = -5x^2 +14x +10
Open the brackets
__ -8x - x^2-4x^2 +7 -6x = -5x^2 +14x +10
Add like terms
__ -14x -5x^2 + 7= -5x^2 +14x +10
Therefore
___ + 7 = 10
___ = 10 -7 = 3
A salesman who is on the road visiting clients thinks that, on average, he drives the same distance each day of the week. He keeps track of his mileage for several weeks and discovers that he averages 122 miles on Mon- days, 203 miles on Tuesdays, 176 miles on Wednesdays, 181 miles on Thursdays, and 108 miles on Fridays. He wonders if this evidence contradicts his belief in a uni- form distribution of miles across the days of the week. Explain why it is not appropriate to test his hypothesis using the chi-square goodness-of-fit test.
Answer:
The conditions are not met.
Step-by-step explanation:
The conditions for the chi square test for goodness of fit are
1) the sample is a random sample
2) the variable under study is categorical
3) all expected value of the number of sample observations are greater or equal to 5.
A)The observations must be independent
B) for 2 categories the expected values must be at least 5
C) for the 3 categories the expected values must be at least 1 and no more than 20% may be smaller than 5
The observations given may not be independent i.e have equal chances of occurrences or are maybe dependent on each other in the sense that there maybe a limit for his traveling mileage or the a limit for petrol ( fuel ) usage . So if he is required to drive 500 miles in a week each day mileage depends on the other day mileage .
Also we are given the information that keeps track of his mileage for several weeks, but we are not sure if several refers to more than 5 .
As both conditions are not clearly satisfied it is not appropriate to test his hypothesis using the chi-square goodness-of-fit test.
The sample must also be a random sample.
Here he has taken the mean of all the days.
Which of the following are binomiola? Check oll that apply
A. x + 2
B. x+3/x
C-x^10
D. x^7
E x^2 + 18
F.x
a Binomial is 2 terms
so the solution is
A
B
E
Answer:
A, B, and E
Step-by-step explanation:
Binomials are equations that consist of two terms.
Help help help help help help help
Answer:
Negative
Positive
Negative
Positive
Step-by-step explanation:
AnswerNegative ,Positive, Negative, Positive
Step-by-step explanation:
Please help me ASAP!!
Answer:
n = 6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
you can create this proportion:
18/n = n/6
cross-multiply:
n² = 108
n = [tex]\sqrt{108}[/tex]
[tex]\sqrt{108}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{9}[/tex]·[tex]\sqrt{3}[/tex] = 2·3·[tex]\sqrt{3}[/tex] or 6[tex]\sqrt{3}[/tex]
help and pls get it right
Answer:
V= 32Step-by-step explanation:
Multiply all lengths and the answer will be your volume.
2 x 2 x 8 = 32
Answer:
32 in ^3
Step-by-step explanation:
Kaylee's gross income is $3,200 per month. Of this amount 25% is taken out for taxes and other required deductions. How much is her take home pay?
Answer: [tex]\$2400[/tex]
Step-by-step explanation:
Given
Kaylee's gross income is [tex]\$32,000\text{per month}[/tex]
[tex]25\%[/tex] is taken out for taxes and other required deduction
left amount is
[tex]\Rightarrow 3200-25\%\times 3200\\\Rightarrow 3200(1-0.25)=\$2400[/tex]
So, her take-home pay is [tex]\$2400[/tex]
Find the value of x and y that will make each quadrilateral a parallelogram.
Answer:
to solve for x. So, x = 4 and y = 3. COORDINATE GEOMETRY Graph each quadrilateral with the given vertices. Determine
A car wash charges customers $6 per wash. It costs the car wash company $2 per wash for materials and a base cost of $80. How many car washes are necessary for the car company to make $60 in profit?
Answer:
35 Car Washes
Step-by-step explanation:
Data:-
Sale Charges per wash = $6/-
Cost per wash = $2/-
Base cost = $80/-
Required Profit = $60/-
Required:-
No of Cash Washes to reach the required profit = ?
Solution:-
Sales - VC = Contribution Margin
$6 - $2 = $4 per unit
Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit
= $80 + $60 / $4
= 35 Units
30% of the 90 students in sixth grade are in the drama club. How many sixth graders are in the drama club?
Answer:
27
Step-by-step explanation:
Multiply 90 by 0.3 and you have your answer