Answer:
V(x) = (17 - 2x)(11 - 2x)x
Step-by-step explanation:
We are told that She is making an open top box. This means the box will have only 5 faces.
Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.
Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.
Thus, measurement of width from the 11 inches paper = (11 - 2x)
Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;
(17 - 2x)
Now,recall that a side of the square is x.
Thus, the depth is x.
Now, volume of a box is given by;
V = length x width x depth
Thus, in this case;
V(x) = (17 - 2x)(11 - 2x)x
An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, right parenthesis of electricity used and an administrative fee of \$3.50$3.50dollar sign, 3, point, 50. The company charged Zhao \$63.25$63.25dollar sign, 63, point, 25 for using 800\,\text{kWh}800kWh800, start text, k, W, h, end text of electricity. Zhao uses the equation, 63.25=800r+3.5063.25=800r+3.5063, point, 25, equals, 800, r, plus, 3, point, 50 to represent the situation.
Step-by-step explanation:
The equation is given by :
63.25=800r+3.50
Here,
63.25 is the electric company charges
3.5 is an administrative fee
800 is charge per kilowatt hours
r is rate per kilowatt hour
In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.
We can solve it as follows :
63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)
59.75=800r
[tex]r=\dfrac{59.75}{800}\\\\r=0.0746[/tex]
Solve for x.
3y = x + 8
Which equation has a slope of 3?
A) y = 3x + 4
B) y = 4x + 3
C) 3x + 4y = 24
D) 4x + 3y = 24
Answer:
a
Step-by-step explanation:
Choose the equations that are not linear equations.
A. x/2-y^3=1
B. -x-y=2
C. x=5
D. x^2+y=4
Answer:
hello I'm getting free points
Read the problem. The Sweet Dreams Hotel has a total of 125 rooms. If 25 are vacant, what percent of the rooms at the Sweet Dreams Hotel are vacant? Pick the model that represents the problem.
Answer:
20%
Step-by-step explanation:
First of all I don't known what the model thing is but I'll tell you the percent
25 /25
125 /25
= 1/5
1/5 as a percent=
1 *20
5 *20
= 20%
given the definition of f (x) and g(x) below find the value of g(f(-1)).
f(x)=3x²+5x-7
g(x)=2x+13
Answer:
-29
Step-by-step explanation:
first do the f function which gets you g(-21)
then do the g function
7+7 please help me i need help quick right away
Answer:
very funny and 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
7 plus 7? how old are you?
i am too unmotivated to do any math even if its easy please help :)
Answer:
40% increase
Step-by-step explanation:
First, find the difference:
161-115=46
Then divide by the past price to get the percent increase:
46/115=.4=40%
What is the value of h(3)?
Answer:
1
Step-by-step explanation:
The value of h(3) basically means what y-value does the function h have when x=3 ?
Looking at the graph, when x is 3, the y value is 1.
h(3)=1
Need help ASAP!!!!!!!
Which pair of numbers has an LCM of 60?
a. 2 and 12
b.5 and 12
c.6 and 12
d.3 and 12
Pls answer ASAP
Answer: 5 and 12
Step-by-step explanation:
i did the quiz
Simplify the expression. (6x+1/2)+(3x-3 1/2)
Answer:
Have a Spoopy Halloween lol its 9x-3
Step-by-step explanation:
(6x+1/2)+(3x-3 1/2)
= 6x+3x-3 1/2+1/2
= 9x-3
Answer:
[tex]9x - \frac{6}{2} [/tex]
Step-by-step explanation:
[tex](6x+1/2)+(3x-3 \: 1/2) \to \\ ( 6x + \frac{1}{2} ) +( 3x - 3 \frac{1}{2} ) \to \\ 9x + \frac{1}{2} - \frac{7}{2} \to \\ 9x - \frac{6}{2} [/tex]
♨Rage♨
72 + (7x+24) = 180
need to find value of x with steps
Answer:
[tex]\boxed {x = 12}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]72 + (7x + 24) = 180[/tex]
Add both [tex]72[/tex] and [tex]24[/tex] together:
[tex]72 + (7x + 24) = 180[/tex]
[tex]96 + 7x = 180[/tex]
-Subtract [tex]96[/tex] to both sides:
[tex]96 - 96 + 7x = 180 - 96[/tex]
[tex]7x = 84[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7} = \frac{84}{7}[/tex]
[tex]\boxed {x = 12}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]12[/tex].
The value of x in the equation is 12
The given equation is: 72 + (7x+24) = 180
In order to determine the value of x, take the following steps:
1. Expand the terms in the bracket
72 + 7x+ 24 = 180
2. Combine similar terms
7x = 180 - 72 - 24
3. Add similar terms together
7x = 84
4. Divide both sides of the equation by 7
7x / 7 = 84/ 7
x = 12
In order to check if the value of x gotten is correct, substitute for x in the equation
72 + (7(12)+24) = 180
72 + 84 + 24 = 180
A similar question was solved here: https://brainly.com/question/31437?referrer=searchResults
11x - 8 = 4x - 3
solve for x
Answer:
7×=5 ×=5/7
Step-by-step explanation:
Determine if each pair of ratios or rates are equivalent. Explain your reasoning:
48 words typed in 3 minutes || 75 words typed in 5 minutes
Answer:No, because when we divide 48/3=16 so 16 words are typed in 1 minute while when you divide 75/5=15 so 15 words are typed in 1 minute and 16 is greater than 15 so their not equivalent
Step-by-step explanation:
BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week?
Answer:
1102.5 pounds of apples will be sold in a week.
Step-by-step explanation:
Amount of apples in each bag = 3.5 pounds
If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45
= 157.5 pounds
Number of days in a week = 7
Amount of apples sold in one week = Apples sold in a day × Number of days in a week
Amount of apples sold in 7 days = 157.5 × 7
= 1102.5 pounds
Therefore, amount of apples sold in a week = 1102.5 pounds
Answer:
1102.5 pounds
Step-by-step explanation:
Find the unit rate: $23.96 for 4 pounds
Answer:
5.99 dollars per pound
Step-by-step explanation:
Convert to a decimal by dividing the numerator by the denominator.
can someone pls help with this i need help since Friday
Answer:
I'm pretty sure that A is right.
Step-by-step explanation:
They share a side, making them equal. It is also shown that RQ and SR are equal. This means that, for SAS, all you need is the angle in between them.
I hope this helps!
I need help please I don’t understand this
Answer:
cosB = 21/75, tanB = 72/21
Step-by-step explanation:
Here, we can use pythagoras to figure out all sides. 75^2-72^2 = 21^2. So, we have sides with lengths 21, 72, and 75. We are given that sinB = 72/75. The definition of sin is opposite of hypotenuse. So, the opposite of angle B is side CA and the hypotenuse is BA. This allows us to find that BC is the 21 length side. The cos of an angle is adjacent over hypotenuse. In this case, it is BC/BA which is 21/75. similarly, Tan is opposite over adjacent or 72/21. And we are done. Those are the values. TO remember these, use the acronym:
SOH CAH TOA. S refers to sin and OH refers to opposite over hypotenuse. Similarly C is cos, A is adjacent, and H is hypotenuse, and then T is tan, o is opposite and A is adjacent.
what is the maximum number of terms a fourth-degree polynomial function in standard form can have?
The maximum number of terms fourth-degree polynomial function in standard form can have is 5
The general form of an nth degree polynomial is:
[tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]
The maximum number of terms that an nth -degree polynomial can have is n+1
For a fourth degree polynomial, n = 4
Substitute n = 4 into [tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]
[tex]p(x) = a_4x^{4}+a_{4-1}x^{4-1}+a_{4-2}x^{4-2}+a_{4-3}x^{4-3}+a_{4-4}x^{4-4}\\\\p(x) = a_4x^4+a_3x^3+a_2x^2+a_1x+a_0[/tex]
The maximum number of terms of p(x) above, when n = 4 is (4+1)
The maximum number of terms fourth-degree polynomial function in standard form can have is 5
Learn more here: https://brainly.com/question/22340393
A line passes through the point (8, -7) and has a slope of -3/4
Write an equation in slope-intercept form for this line
Answer:
y = -3/4x -7
Step-by-step explanation:
hope this helps!
PLEASE ANSWER FAST WILL GIVE BRAINILY
Write an equation or inequality to represent the relationship "three
times a number decreased by 12 is equal to -18". Then solve.
a. Equation :
b. Answer:
Answer:
a. 3x-12= -18 b. x=-2
Step-by-step explanation:
Simplify
-5y - X + 7 - 2y + 3x + 4
Answer:
-7y + 2x + 11
Step-by-step explanation:
-5y - X + 7 - 2y + 3x + 4
-7y + 2x + 11
Answer: 2x-7y+11
Step-by-step explanation:
Add the x's and then add the y's. add the 4 and seven because they do not have a variable.
simplify the expression (5x^7)^2
Answer:
25x^14
Step-by-step explanation:
People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?
Answer:
44%
Step-by-step explanation:
If someone could help me I would really appreciate it!
Factor by slide and divide!
Answer:
(3x-4)(2x+5)
Step-by-step explanation:
6x^2 + 7x + 24
= 6x^2 + (15-8)x + 24
= 6x^2 + 15x - 8x + 24
= 3x( 2x+5 ) - 4( 2x+5 )
= (3x-4)(2x+5)
Is √3,600 rational? Or a perfect square
Answer:
Yes to both
Step-by-step explanation:
Help I need to pass this
Answer:
bottom right hand corner is false
Step-by-step explanation:
Key word perpendicular, it just needs to have relectional symmetry across the line that goes across the figure
What is five times seven divided by nine
Answer:
3.9 or 3.88888888889
Step-by-step explanation:
5*7=35
35/9=3.88888888889=3.9
Answer:
5*7 = 35 / 9 =3
Step-by-step explanation:
because it is the closest
Solve the following absolute value equation
| x+5 | = 11
Answer:
X is 6 or -6
Step-by-step explanation:
In absolute value it makes everything positive
Answer:
x = 6
Step-by-step explanation:
Simplify: x + 5 = 11Subtract 5 from each side, so it now looks like this: x = 6I hope this helps!
6) Which of the following expressions are equivalent to 40x + 30y? Choose ALL that apply.
5x(8 + 6)
5(8x + 6y)
10(40x + 30y)
10(4x + 3y)
2y(20x + 15)
2(20x + 15y)
Answer:
5(8x + 6y), 10(4x + 3y), 2(20x + 15y)
Step-by-step explanation:
(5x *8) + (5x *6) = 40x + 30x no
(5 * 8x) + (5 *6y) = 40x + 30y yes
10*40x + 10*30y = 400x + 300y no
10*4x + 10*3y = 40x + 30y yes
2y *20x + 2y*15 = 40xy + 30y no
2*20x + 2*15y = 40x + 30y yes
The expressions that are equivalent to (40x + 30y) is (10(4x + 3y)) and (2(20x + 15y)) and this can be determined by using the arithmetic operations.
Given :
Expression -- (40x + 30y)
The following steps can be used in order to determine the expressions that are equivalent to (40x + 30y):
Step 1 - The arithmetic operations can be used in order to determine the expressions that are equivalent to (40x + 30y).
Step 2 - Take the 10 common in the given expression.
= 40x + 30y
= 10(4x + 3y)
Step 3 - Also can take 2 common in the given expression.
= 40x + 30y
= 2(20x + 15y)
Therefore, the correct option is D) and F).
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https://brainly.com/question/25834626