The volume of the box with a height of 10 inches and perimeter of 72 inches and width of w is 360w - 10w²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let w represent the width of the box and v represents the volume, hence:
2(w + length) = 72
Length = 36 - w
Volume = w(36 - w) * 10
Volume = 360w - 10w²
The volume of the box with a height of 10 inches and perimeter of 72 inches and width of w is 360w - 10w²
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Bobby has a party while his parents are away for the weekend. Bobby estimated that if his 9 friends hep him to clean the house, they will finish in time if they start 8 hours before his parents return. But after only two hours of cleaning, Bobby's parents call and say they are just two hours from home. How many more friends does Bobby need to call to help finish cleaning in time.
Question:
Bobby has a party while his parents are away for the weekend. Bobby estimated that if his 9 friends hep him to clean the house, they will finish in time if they start 8 hours before his parents return. But after only two hours of cleaning, Bobby's parents call and say they are just two hours from home. How many more friends does Bobby need to call to help finish cleaning in time.
Answer:
Bobby need 20 friends.
Step-by-step explanation:
8 x (9 + 1) = 8/o = 80 hours
Suppose Bobby needed to call x friends.
10 x 2 + 2 (10 + x) = 80
20 + 20 +2x = 80
2x = 40
x = 20
Therefore, Bobby needs to call 20 friends to get the cleaning done in time.
Which statement below best describes whether or not the triangles are similar and
why?
A. ∆XXXXXX ~ ∆TTTTTT by AA similarity.
B. ∆XXXXXX ~ ∆TTTTTT by ASA similarity.
C. ∆XXXXXX ~ ∆TTTTTT by SSS similarity.
D. There is not enough information to determine similarity.
In the given figure if AOB = 132°, COD = 141°, if measure of BOD equals x°, then x is
Answer:
BOD = 189 °
Step-by-step explanation:
that is the answer above
solve pls brainliest
Suppose you and your friends form a band and you want to record a demo. Studio A rents for $75 plus $75 an hour and Studio B
rents for $150 and $50 an hour. Let t= the number of hours and c = cost.
Part A
Write a system of equations to represent the cost at each studio.
Part B
Solve the system of equations from Part A. Explain your method.
Part C
Explain what the solution to the system means in terms of where your band will rent a studio.
Answer:
Step-by-step explanation:
Studio A rents for $75 plus $75 an hour .
Studio B rents for $150 and $50 an hour.
Let t = the number of hours and c = cost.
Part A
Write a system of equations to represent the cost at each studio.
Studio A: c = 75 +75·t
Studio B: c = 150 +50·t
Part B
Solve the system of equations from Part A. Explain your method.
We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.
150 +50·t = 75 +75·t, subtract 75 and 50t from both sides
150 -75 = 75t -50t, combine likes terms
75 = 25t, divide both sides by 25
3 = t
Now we know that t = 3 so we find c by substituting t with 3 in the second equation.
c = 150 +50·t
c = 150 +50·3
c = 300
The solution of the system of equations is c = 300 and t = 3
Part C
Explain what the solution to the system means in terms of where your band will rent a studio.
The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.
The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.
Two angles of a quadrilateral measure 105° and 150°. The other two angles are in a ratio of 4:17. What are the measures of those two angles?
Answer:
20 degrees and 85 degrees.
Step-by-step explanation:
105 degrees+ 150 degrees is equal to 255 degrees. 360 degrees - 255 degrees is 105 degrees. To get the ratio equivalent to 105 degrees you have to multiply both sides by 5 in order to get 20 degrees, and 85 degrees. I hope this helps! :)
If 6:2=8:x, then
a. 6x = 16
b. 6x = 10
c. 2x = 48
d. 2x = 14
Answer:
6x = 16
Step-by-step explanation:
Given:
[tex]\displaystyle \large{6:2 = 8:x}[/tex]
The equation can be rewritten as:
[tex]\displaystyle \large{\dfrac{6}{2}=\dfrac{8}{x}}[/tex]
Multiply both sides by 2x.
[tex]\displaystyle \large{\dfrac{6}{2}\cdot 2x=\dfrac{8}{x}\cdot 2x}[/tex]
Simplify the equation in simplest form.
[tex]\displaystyle \large{6x=8\cdot 2}\\\\\displaystyle \large{6x=16}[/tex]
Therefore, the answer to this question is 6x = 16.
Please let me know if you have any questions regarding my answer or explanation!
9.) List three things vertical and horizontal lines have in common.
Answer:
Horizontal lines have a slope of zero, and run parallel to the x axis. Vertical lines have a undefined slope, and run parallel to the y axis. The equation for a horizontal line equals y=c, and the equation for a vertical line equals x=c. If a horizontal line crosses a vertical line the two lines would be perpendicular to one another.
Step-by-step explanation:
Use this:
What is a Horizontal Line?A Horizontal Line is a line that goes straight from left to right (or right to left) parallel to the x-axis of the coordinate plane. All of the points on the line will have the same y-coordinates.
What is a Vertical Line?A Vertical Line is a line that goes straight up and down Parallel to the y-axis of the coordinate plane. All of the points on the line will have the same x-coordinates.
Commonality:Ax -c=bx+d solve for x
Answer:
[tex] x = \dfrac{c + d}{a - b} [/tex]
Step-by-step explanation:
ax - c = bx + d
ax - bx = c + d
x(a - b) = c + d
[tex] x = \dfrac{c + d}{a - b} [/tex]
Find the value of (8 × 10³)²
Answer:
64 × [tex]10^{6}[/tex]
Step-by-step explanation:
(8 × 10³)² = (8 × 10³)(8 × 10³)
= 8 × 10³ × 8 × 10³
= 64 × [tex]10^{6}[/tex]
Answer:
64000000Step-by-step explanation:
Find the value of (8 × 10³)²
(8 × 10³)² =
(8 × 1000)² =
8000² =
64000000
You have a list of 7 letters, of which 3 are vowels (a, i, e) and 4 are consonants (b, c, d, f). you need to use these letters to form four-letter words in such a manner that they should contain exactly 2 vowels from the given 3 and exactly 2 consonants from the given 4. how many such four-letter words can you form using the seven given letters?
There are 432 four-letter words you can form using the seven given letters if you have a list of 7 letters.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
A list of 7 letters, of which 3 are vowels (a, i, e) and 4 are consonants (b, c, d, f).
a, i, e - 2 vowels can be selected in 3C2 ways.
b, c, d, f - 2 consonants can be selected 4C2 ways.
We can arrange 4 alphabets in 4! ways.
Total ways = C(3, 2)×C(4, 2)×4!
= 3×6×24
= 432
Thus, there are 432 four-letter words you can form using the seven given letters if you have a list of 7 letters.
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Which statement about ABCD isn’t true
Answer:
The answer is B. AC = BD.
Step-by-step explanation:
ABCD is given as a parallelogram. Most of the line is given to be parallel.
AB = CD and BC = AD are told that they are in a parallel line to each other.
The line inside the parallelogram is yet to be said if they equal each other, thus, statement B. AC = BD must be false.
Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.
A table listing the first few steps in deriving the quadratic formula
In which step did Tran first make an error?
The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Solving the polynomial using completing the square:
2x² - 4x - 3 = 0
First divide through by 2:
x² - 2x - 3/2 = 0
add 3/2 to both sides:
x² - 2x - 3/2 + 3/2 = 0 + 3/2
x² - 2x = 3/2
add the square of half the coefficient x to both sides:
x² - 2x + 1 = 3/2 + 1
(x - 1)² = 2.5
taking square root:
x - 1 = ±√2.5
x = 1 ± √2.5
The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5
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Answer: Step 3
Step-by-step explanation: this is the right answer on the edge, hope this helps!
Solve the following system of equations by substitution. Show all steps.
f (x) = -x^{2} + 2x +3
g (x) = -2x + 3
Answer:
Given system of equations:
[tex]\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}[/tex]
To solve by substitution, equate the equations and solve for x:
[tex]\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}[/tex]
Therefore, the x-values of the solution are [tex]x = 0[/tex] and [tex]x = 4[/tex].
To find the y-values of the solution, substitute the found values of x into the functions:
[tex]f(0)=-(0)^2+2(0)+3=3[/tex]
[tex]g(0)=-2(0)+3=3[/tex]
[tex]f(4)=-(4)^2+2(4)+3=-5[/tex]
[tex]g(4)=-2(4)+3=-5[/tex]
Therefore, the solutions to the given system of equations are:
[tex](0, 3)[/tex] and [tex](4, -5)[/tex]
Determine the value of X
AB is the mid segment of triangle LMN. Determine the value of X
Answer:
B. 4Step-by-step explanation:
Since ,AB is the mid segment of triangle LMN
Then
[tex]\Longleftrightarrow AB=\frac{MN}{2}[/tex]
[tex]\Longleftrightarrow x+8=\frac{5x+4}{2}[/tex]
[tex]\Longleftrightarrow 2\times(x+8)=5x+4[/tex]
[tex]\Longleftrightarrow 2x+16=5x+4[/tex]
[tex]\Longleftrightarrow 16-4=5x-2x[/tex]
[tex]\Longleftrightarrow 3x=12[/tex]
[tex]\Longleftrightarrow x=\frac{12}{3}=4[/tex]
Please help, its urgent. (Question Below)
The highest common factor of the numbers 210 and 308 is 4.
What is the highest common factor?The highest factor of the two numbers which divides both the numbers is called as greatest common factor or HCF.
The highest common factor will be calculated by finding the factors of the two numbers. The factors of the two numbers are as follows:-
308 = 2 x 2 x 7 x 11
210 = 2 x 2 x 3 x 17
We can see that the 2 x 2 = 4 is the highest factor which is common between the two numbers 210 and 308. So 4 is the HCF which can divide both the numbers 210 and 308.
Therefore the highest common factor of the numbers 210 and 308 is 4.
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Use completing the square to rewrite the function in vertex form. f(x)=x2+6x−5
Answer:
f(x) = (x + 3)² - 14
Step-by-step explanation:
f(x) = x² + 6x - 5
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
f(x) = x² + 2(3)x + 9 - 9 - 5
= (x + 3)² - 14 ← in vertex form
The function in vertex form is f : x → (x + 3)² - 14.
To convert the equation.
f : x → x² + 6x - 5 into the vertex form, you will need to complete the square.
First, you will need to add and subtract the square of half of the coefficient of the x term, which is (6/2)² = 9.
This will give you the equation.
f : x → x² + 6x - 5 + 9- 9
Next, you will need to factor the left side of the equation,
f : x → (x² + 6x + 9) - 5 - 9
Now, you can see that the left side of the equation is the square of
(x + 3)² so you can rewrite it as:
f : x → -(x + 3 )² - 5 - 9
Finally, you can simplify the right side of the equation to get:
f : x → (x + 3)² - (5 + 9)
f : x → (x + 3)² - 14.
Therefore, the vertex form is f : x → (x + 3)² - 14.
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Which of the following is most likely the next step in the series?
Answer:
A
Step-by-step explanation:
has more arrows coming out
the reason it's not D is because it is going in a red-blue pattern not red-red
hope that helps :)
Answer:
A
Step-by-step explanation:
red blue red ??? and 1 arrow, 3 arrows, 5 arrows so next is blue 7 arrows
The tables show linear functions representing the cost for purchasing different amounts of broccoli and cauliflower. which function has the greater slope and what does it indicate? the broccoli function has the greater slope, which shows that the cost per pound of broccoli is less than the cost per pound of cauliflower. the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is less than the cost per pound of broccoli. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is greater than the cost per pound of broccoli.
The function that has a greater slope will be B. The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.
What is a linear function?It should be noted that a linear function simply means a function whose graph is a straight line.
From the information given, the slope will be:
= (y2 - y1(/(x2 - x1)
= (3.6 - 3)/(3 - 2.5)
= 1.2
The slope for broccoli is 1.2
The slope of the cauli flower will be:
= (3.20 - 2.75)/(3.20 - 2.75)
= 1
Therefore, the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.
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Answer:
B
Step-by-step explanation:
right on 2022 edg
Which relation is a function? PLEASE HELP
Answer:
A
Step-by-step explanation:
for the relation to be a function then each value of x in the domain must map to exactly one unique value of y in the range
this is the case for A
in B : 3 → 2 and 3 → 8 ← not a function
in C : - 2 → 5 and - 2 → 7 ← not a function
in D : 2 → 2 and 2 → 3 and 3 → 3 and 3 → 2 ← not a function
3 substracted from 9 times 2 and 5 is added
Answer:
20
Step-by-step explanation:
It is because 9x2=18
3 subtracted from 18 is 15
15+5=20
please mark brainliest
Solve for h: h+4/-2=0.3 ([tex]h+\frac{4}{-2} =0.3[/tex])
Give Explanation please.
Answer: [tex]h=\frac{23}{10} =2.300[/tex]
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
[tex]h+\frac{4}{-2} -((\frac{3}{10} ))=0[/tex]
[tex]Simplify~ \frac{3}{10}[/tex]
[tex](h+\frac{4}{-2} )-\frac{3}{10} =0[/tex]
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 10 as the denominator :
[tex]h-2=\frac{h-2}{1} =\frac{h-2x10}{10}[/tex]
Equivalent fraction: The fraction thus generated looks different but has the same value as the whole
Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to the lowest terms if possible:
[tex]\frac{(h-2)x10-(3)}{10} =\frac{10h-23}{10}[/tex]
[tex]\frac{10h-23}{10} =0[/tex]
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, CalderonJ multiplys both sides of the equation by the denominator.
Here's how:
[tex]\frac{10h-23}{10} *10=0*10[/tex]
Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
10h-23 = 0
Add 23 to both sides of the equation :
10h = 23
Divide both sides of the equation by 10:
h = 23/10 = 2.300
Final Answer: 2.3(decimal form) aka 23/10 (fraction)
part 3 to the please help question sorry im asking so many questions
Answer:
the answer would be 6,600ft
Step-by-step explanation:
I hope this helps!!
Expand.
Your answer should be a polynomial in standard form. WILL GIVE BRAINLIEST AND BIG POINTS
Answer:
-q^2-q+72
Step-by-step explanation:
We can use the FOIL (First Outer Inner Last) method for this. First, multiply 9*8 (72). Then, multiply 9*-q(-9q). After that, multiply q*8 (8q). Finally, multiply q*-q(-q^2). Arrange the different terms:
-q^2-9q+8q+72
Finally, combine like terms:
-q^2-q+72
Hope this helps!
Using a straightedge and compass the ancient Greeks were able to construct many geometric objects
Step-by-step explanation:
A department has five employees with five jobs to be performed. the time in hours each man will take to perform each jobs is given in the effectiveness matrix .
Given the right triangle, evaluate: sin 0.
Answer: B. 5/13
This is the same as writing [tex]\frac{5}{13}[/tex]
==========================================================
Reason:
We have two given sides of this right triangle. Use the pythagorean theorem to find the missing side.
a = 5 and b = 12 are the two known legs; c is the unknown hypotenuse
[tex]a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{5^2+12^2}\\\\c = \sqrt{25+144}\\\\c = \sqrt{169}\\\\c = 13\\\\[/tex]
The hypotenuse is exactly 13 units long. This is a 5-12-13 right triangle.
Now we can compute sine of theta
[tex]\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{5}{13}\\\\[/tex]
This points us to choice B as the final answer.
----------------
Extra Info (optional)
5/12 is the value of tan(theta) since it's opposite/adjacent12/5 is the value of cot(theta), the reciprocal of tangent12/13 is the value of cos(theta), because cos = adjacent/hypotenuse3. Eden has completed 7⅝ laps of a 10 lap race How many more laps does she still need to run?
eden must run 2 3/8 laps to complete the race.
How to calculate the laps that Eden is missing?To calculate the laps that Eden is missing, we must perform the following operation:
We must take into account that he has already completed 7 laps and a segment of the eighth lap that is equivalent to 5/8, that is to say that he has 3/8 to complete the eighth lap.
On the other hand, once he completes the eighth lap, he will have 2 full laps left to finish the race. Due to the above, it can be stated that it is missing 2 3/8 laps.
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Latoya created a factor tree and wrote the prime factorization of 90 shown below.
Answer:
it’s b
Step-by-step explanation:
the answer is 2x3x3x5, but it’s the same thing when you put an exponent of two on a 3.
Hope it helps
Sry if I’m wrong
Please help :)))))))))))))
Answer:
\frac{9}{20} (or 9/20, if this doesn't show up the right way in my answer.)
Step-by-step explanation:
Fist what we'll do here is divide 1000 by 450. 1000÷450=2\frac{2}{9} (2/9, if this doesn't show up the right way either).
Then, we'll apply the inverse formula. In case you've forgotten, the inverse of a number is what you have to multiply a number by to get 1. The inverse of 2/9 (too lazy to put it in that form anymore) is 0.45, or 9/20.
If that doesn't work, I might be interpreting this incorrectly.
Here.
Answer:
0.05, or 1/20
Step-by-step explanation:
So, we have the fraction. we can simplify it to 20/9, making the numerator 20. As previously stated, the inverse of a number is what you have to multiply a number by to get 1. So, 1÷20=0.05
Let me know which one works!
Warmest regards,
Sanjana
Professional 6th grader and quantum physics lover
A circle representing a pool is graphed with a center at
the origin. Grant enters the pool at point A and swims
over to a friend who is located at point B.
-10-
6-
4
2-
A
2 4 6 8 10 x
B
-106422-
№t
4-
-6-
-10-
Which equation represents Grant's path?
O y = 2-4x
Oy=4-
O y = 6-
Oy=8-2x
The equation that represents Grant's path is; y = 4 - ¹/₂x
How to find the equation of a graph?
We are given;
Point A: (8,0),
Point B: (-4,6)
Thus, the slope is;
m = (6 - 0)/(-4 -8)
m = -¹/₂
Thus;
Equation of Grant's path is;
y = -¹/₂(x - 8)
y = 4 - ¹/₂x
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