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
There are 30 students in a class. Which equations represent the situation if the number of boys
is b and the number of girls is 7? Select all that apply.
A. b x 30 = 7
B.b = 30- 7
C. b = 30 + 7
D. b +7 =30
E. b x 7 =30
Step-by-step explanation:
A. b x 30 = 7E. b x 7 =30C. b = 30 + 7
Find the measure of the arc or angle
Answer:
2
Step-by-step explanation:
Hello, I Am BrotherEye
Below Are Imformation That Will Nourish You
Answer:
Arc Measure Given In Degrees
Find the circumference of the circle and then multiply by the measure of the arc divided by 360°. Remember that the measure of the arc is equal to the measure of the central angle. where r is the radius of the circle and m is the measure of the arc (or central angle) in degrees.
Step-by-step explanation:
The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.
Brian built 3 wooden toys. Each toy had a mass of 5/7 kilograms. What was the total mass of the toys that he built
Answer:
2 1/7 kg
Step-by-step explanation:
Multiply 5/7 kg by 3, obtaining 15/7 kg, or 2 1/7 kg
Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard deviation if 110 hours. If exactly 95% of the bulbs die before 920 hours, find the mean lifetime if the bulbs
Answer:
The mean life time of the bulbs is approximately 739 hours
Step-by-step explanation:
Here, we want to calculate the mean life time
From the question, 95% of the bulbs die before 920 hours
What this mean is that the probability that a bulb will die before 920 hours is 95% = 95/100 = 0.95
Now, we need the z-score that is exactly equal to this value
Using the standard normal distribution table, the z-score corresponding to this probability value is 1.645
Mathematically;
z-score = (x-mean)/SD
In this case, x is 920, SD is standard deviation which is 920 hours
thus, we have it that;
1.645 = (920-mean)/110
110(1.645) = 920 - mean
180.95 = 920 - mean
mean = 920- 180.95
mean = 739.05
During the first two weeks at his new job Damian earned a total of $500 he earned x dollars during the first week during the second week he earned 4 times as much as he did the first week. How much did Damian earn during the first week
Answer:
$100
Step-by-step explanation:
x + 4x = 500
5x = 500
x = 100
If f(x)=2x^2+x-3, which equation can be used to determine the zeros of the function?
A) 0=(2x-3)(x+1)
B) 0=(2x+3)(x-1)
C) 0=2x(x+1)-3
D) 0=2x(x-1)-3(x+1)
Answer:
B) 0=(2x+3)(x-1)
Step-by-step explanation:
factor the equation f(x) = 2x² + x - 3
=> f(x) = (2x + 3)(x - 1)
Option B is correct.
What is zeros of a function?A zero of a function is a member of x of the domain of f such that f(x) vanishes at x, that is the function f attains the value of 0 at x.
According to the given question
we have a function
[tex]f(x)=2x^{2} +x-3[/tex]
[tex]f(x)=2x^{2} + 3x-2x-3[/tex]
[tex]f(x)=2x^{2} -2x+3x-3[/tex]
[tex]f(x)=2x(x-1)+3(x-1)[/tex]
[tex]f(x)=(2x+3)(x-1)[/tex]
for finding the zeros of f(x), substitute f(x)=0
[tex](2x+3)(x-1)=0\\[/tex]
⇒ x=[tex]\frac{-3}{2}[/tex] and x=1
Hence, option B is used for finding the zeros of the given function f(x).
Learn more about the zeros of function here:
https://brainly.com/question/944636
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MY LAST POINTS!!!!!! first to answer correctly gets brainliest.
Answer:
1) vertical
2) adjacent
Step-by-step explanation:
so, vertical is when two different numbers are congruent and adjacent is numbers next to each other but are no congruent
A farm sells peaches in boxes . Using the table , how many peaches will be in 12 boxes ? Please help
The quantities
x
and
y
are proportional.
Answer:
The quantities x and y are in a proportional relationship.
Step-by-step explanation:
[tex][Hello,BrainlyUser][/tex]
Your question is incomplete but I will try my best to answer <3
Answer/Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x = r
[tex][CloudBreeze][/tex]
Solve for i
3 (.5i - 6 ) = 12
Answer:
15i-18=12
15i=12+18
15i=30
i=30/15
i=2
Find the zeros of the equation:
(x+10)(x-2) = 0
Answer:
[tex]x=-10;x=2[/tex]
Step-by-step explanation:
[tex](x+10)(x-2)=0\\(-10+10)(-10-2)=0\\0(-12)=0\\0=0[/tex]
[tex](x+10)(x-2)=0\\(2+10)(2-2)=0\\0(12)=0\\0=0[/tex]
can someone help me out with this
Answer:
x + 5, angle G is 16 degrees and angle F is
Step-by-step explanation:
3x + 11 = 5x - 9
3x + 10 = 5x
10 = 2x
x = 5
5(5) - 9 = 16
3(5) + 11 = 26
Which fractions are equivalent to -15/4? Select all that apply. A: -15/4 B:-15/-4 C:15/-4 D:15/4 E:- 4/15 F:4/-15
Answer:
-15/4
C:15/-4
Step-by-step explanation:
a negative number divided by another negative number gives a positive number : -15 / - 4 = +3.75
-15/4 and 15/-4 = -3.75
15/4 = 3.75 (two positive numbers divided with each other yields a positive number)
-4/15 and 4 / -15 = 0.27
0.75(4x + 2) = 5 - (x + 1.5)
X =
Answer:
The answer is x=1/2 or x=0.5
Answer:
x = 0.5
Step-by-step explanation:
0.75(4x + 2) = 5 - (x + 1.5)
3x + 1.5 = 5 - x - 1.5
3x + 1.5 = -x + 3.5
3x + x = 3.5 - 1.5
4x = 2
x = 0.5
E.J. calls people at random to conduct a survey. So far, 40 calls have been
answered and 120 calls have not been answered. What is the approximate
probability that someone answers the next call he makes?
O A. 75%
ОВ. 0.4
C.
D. 0.25
PLEASE HELP I DONT HAVE MUCH TIME
Answer:
0.25
Step-by-step explanation:
Answer:
The Correct Answer Is D. 0.25 I Did The Exam
Step-by-step explanation:
determine the value of x (ill give brainliest)
Answer:
I believe the answer is 7
Answer:
12
Step-by-step explanation:
9 * 12 - 2 = 61
7 * 12 + 12 = 61
The area of a rectangular park is 300 sq.M. If the length of the park is 25 m, find the breadth. *
Answer:
Breadth = 12 m
Step-by-step explanation:
Area of a rectangle is given by the formula,
Area = Length × Width
Value of area and length of the rectangular park has been given in this question.
Therefore, by substituting these values in the formula,
300 = 25 × Width
Width = [tex]\frac{300}{25}[/tex]
= 12 m
Therefore, width or breadth of the rectangular park will be 12 m.
Which of the following is a polynomial?
O A. x^2 - 1
O B. x^-y+ 2
O c. (x^6 - 2)/(x^4 + 3)
O D. x^4+ x^4 + 16
Answer:
I think it's A...
Step-by-step explanation:
It's been a little while since I've done polynomials, binomials, monomials, etc., so I think I'm right, but sorry if I'm wrong...
is 0.9727 a positive correlation, negative correlation, or no correlation?
please answer correctly, will give brainlie'st, explain gow to got the answer.
Evaluate:
10 + (a ³ - b ) for a = 3 and b = 8
8
11
18
29
Answer:
29
Step-by-step explanation:
Using PEMDAS, you will first evaluate the parenthesis, then exponents, (skip multiplication and division since it isn't in this problem), then addition/subtraction (order doesn't matter). So, plug in a and b where they correspond -> (3^3 - 8) which simplifies to (27 - 8) = 19. Finally add 10 + 19 = 29
hope this helps!
Answer:
29
Step-by-step explanation:
10 + (a^3 - b)
plug in your variables
10 + ((3)^3 - (8))
solve inside the parenthasis
10 + (3^3 = 27 - 8 = 19)
now we have:
10 + (19)= 29
Vickie and Amy made $23.10 together selling cookies. Vickie made twice as much as Amy. How much did Vickie make? PLSS Help! giving brainliest!!
Answer:
amy made 5.775 while vickie made 17.325
Step-by-step explanation:
i dunno
which of the following are solutions to the inequality -7x+14> -3x -6
Answer:
x<5
Step-by-step explanation:
what is the simplified fractional equivalent of the terminating decimal 0.78?
Answer: 39/50
Step-by-step explanation: the answer is 39/50
Answer:
the answer is 39/50
Step-by-step explanation:
thank you
Factorize completely
2x^2+4x-6
Answer:
Solution given;
2x²+4x-6
2x²+6x-2x-6
2x(x+3)-2(x+3)
(x+3)(2x-2)
is your answer
Answer:
2(x + 3)(x - 1)
Step-by-step explanation:
Given
2x² + 4x - 6 ← factor out 2 from each term
= 2(x² + 2x - 3) ← factor the quadratic
Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)
The factors are + 3 and - 1 , since
3 × - 1 = - 3 and 3 - 1 = + 2 , then
x² + 2x - 3 = (x + 3)(x - 1) , so
2x² + 4x - 6 = 2(x + 3)(x - 1) ← in factored form
ANSWER QUICK PLS
ANSWER QUICK PLS
The angle of elevation from the bottom of a slide to the top of the slide is
44°. If the top of the slide sits 16 feet above the ground, find the length of
the slide. Assume it is a straight slide.
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Choose equal less or greater
Answer:
C is greater
D is less
Step-by-step explanation:
Solve the system in the image below
I NEED HELP! Im trying to find the height of a cone. How do I do the problem and can someone explain it step-to-step?
Answer:
first the primerter then the area
Step-by-step explanation:
Answer:
The height of the cone is simple... here are the steps
Step-by-step explanation:
V= 1/3πr²h
V would be 1,398
π would be 3.14
r² 9.2x9.2
so the new equation is 1,398=1/3(3.14)(84.64)h
Now to get h all by itself multiply all in the equation... after divide by 1/3
1,398= whatever number xh
Now divide that whatever number by 1,398 and you find the height.
Hope this helps.
HELP PLS
nobody two dancers liquid smooth deftones korn mitski
perimeter: 59
area: 247
Answer:
agreed
Step-by-step explanation:
Hi is this correct please respond soon I love you so much thank you