Answer:
$2.25 is the discounted price for each gallon.
Step-by-step explanation:
So you take 40% and convert it into decimal form, which is 0.4. Then you take $3.75 x 0.4 = 1.5. Then subtract $1.50 from $3.75, and that equals $2.25 each gallon.
Have a nice day!
Which statement best describes the "cult of domesticity" that emerged in the late 19th century?
A. A movement to allow women into medical schools.
B. Groups of women who gathered to discuss matters of the home and family.
C A widespread set of values relating to women, their behavior, and their place in the home.
D. The movement to attain voting rights for women citizens.
Answer:
a movement one single movement cultivating one group
Answer: C
Step-by-step explanation:
What is the measure of angle y? 20
Step-by-step explanation:
as per the rules of intersecting lines, the angles between the lines must be the same on both sides of the lines. the just "mirror" (so, left becomes right, and right becomes left).
and since the basic grid is created with perpendicular lines (standing at 90° at each other), we are dealing in the top right and bottom left quarters with 2 angles that together add up to 90°.
these are called complementary angles.
so, in the top right quarter we have a 52° angle, and the other one must be
90 - 52 = 38°
as mentioned, the angles in the bottom left quarter must be the same but are mirrored, so,
y = 38°
The measure of angle ∠y = 38°
What are the angles formed by 2 intersecting lines?Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Given data ,
Let the first line be A
Let the second line be B
Now , the lines A and B intersect at the point O perpendicular to each other
And , The angles formed are = 90°
Let the measure of m∠A = 52°
Now , the measure of m∠y = 90° - 52°
The measure of angle m∠y = 38°
Hence , the measure of angle m∠y = 38°
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on a linear graph, the rate of change is called the ____ of a line
Answer:
On a linear graph, the rate of change is called the slope of a line
Step-by-step explanation:
Hope this helps
The complete statement is, on a linear graph, the rate of change is called the slope of a line.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
From the above concepts we now know that, on a linear graph, the rate of change is called the slope of a line.
It can also be defined as, (y₂ - y₁)/(x₂ - x₁).
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Given the function f(x)=2x+1/x and f′(1/x)=f(−x).
Find the value of x∈R correct to 3 significant figures.
x=−2.83
x=0.382
x=−1
x=2.83
I NEED A QUICK ANSWER PLSSS
A rental car company charges $56.37 per day to rent a car and $0.09 for every mile
driven. Hawa wants to rent a car, knowing that:
• She plans to drive 500 miles.
• She has at most $440 to spend.
Which inequality can be used to determine x?
Answer:
7 Days or X = 7
Step-by-step explanation:
Before we even attempt the problem, we need to craft our equation to work with…
- Multiply 0.09 x 500 = 45
- Now we know what out equation will be which is 45 + 56.37x < $440
- First subtract 45 from $440
- Then devide 45 from 440
- There you go we found the value of x
Final answer:
45 + 56.37(7) = 440
Answer Sentence: So Hawa has 7 day to cover 500ml
(Sorry if I’m wrong)
Tito drives his car and covered a distance of 225 kilometers in 7.5 hours. What is the average in kilometers per hour?
A. 30 kph
B. 225 kph
C. 232.5 kph
D. 7.5
Step-by-step explanation:
I hope u are asking for average speed
average speed = total distance/total time
= 225/7.5
= 30 km/h or 30 km per hour
Answer:
As Per Provided Information
Distance covered by his car 225 KmTime taken by his car 7.5 hoursWe have to determine the average speed of his car in kilometres per hour .
Using Formulae
[tex] \boxed {\bf \: Average\: Speed \: = \cfrac{Total \: Distance \: Covered}{ Total \: Time \: Taken }}[/tex]
On substituting the value we get
[tex]\sf \qquad \: \longrightarrow\: Average\: Speed \: = \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = \cancel \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = 30km {h}^{ - 1} [/tex]
Therefore,
Average speed of his car is 30 km/h .So your answer is A) 30 kph .
Why at is 4x^2 -24x+7=3
Answer:
can you clear more I don't understand
i need help, this is my last question
Answer:
a
Step-by-step explanation:
Which of the following points is a solution to the system of inequalities?
6x-2y<10
6x+3y>/=15(greater than or equal to)
A. (1,2)
B. (3,3)
C. (0,5)
D. (2,1)
Answer: C (0,5)
Step-by-step explanation:
So firstly you're going to try to solve the inequality, so what I did first is used the second equation because if I divide both sides by 3, I'm able to get the y by itself:
6x+3y>/=15, 6/3=2, 3/3=1, 15/3= 5
So now its: 2x+y>/=5
now I should get the y by itself by subtracting 2x from both sides to get
y>/=15-2x, now if we wanted to plug it in to the top equation, we could make it as, y=15-2x because the it is GREATER THAN OR EQUAL TO.
so to plug it in to the first equation we get:
6x-2(15-2x)<10,
x<4, to find y we just plug it in to any equation now we have x, so I did
6(3)-2y<10
18-2y<10
-18 -18
-2y<10
divide both sides by -2 (flips the equation sign)
y>4,
So take consider both X and Y values, C would be correct because X is less than four and 0 is less than four, and 5 is greater than four.
What is the largest whole number I could be if 9 + I is larger than 28?
Answer:
20 and greater than 20
If you add 9 and 20, you get 29, which is one greater than 28.__________________________________________________________
Questions?Ask me in the comments box.
Can someone help me?
Answer:
What are you trying to do you have not Explained to us
Step-by-step explanation:
What is the volume of the rectangular prism in cubic yards?
The volume of the rectangular prism is 1120 yd³.
What is a prism?A prism is a solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.
To calculate the volume of the rectangular prism, we use the formula below.
Formula:
V = LWH.......... Equation 1Where:
V = Volume of the rectangular prismL = Length of the prismW = Width of the prismH = Height of the prism.From the question,
Given:
L = 14 yardsW = 8 yardsH = 10 yards.Substitute thee values into equation 1
V = 14×8×10V = 1120 yd³Hence, The volume of the rectangular prism is 1120 yd³.
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Please help! I dont know how to do these :(
Answer:
t = 4 s
Step-by-step explanation:
Given function:
[tex]h(t)=-16t^2+48t+64[/tex]
where:
h = height of the ball (in feet)t = time (in seconds)When the ball hits the ground, its height will be 0 ft.
Therefore, set the function to zero and solve for t:
[tex]\begin{aligned}h(t) &=0\\ \implies -16t^2+48t+64 & =0\\ -16(t^2-3t-4)& =0\\ t^2-3t-4 &=0\\ t^2+t-4t-4&=0\\ t(t+1)-4(t+1)&=0\\(t-4)(t+1)&=0\\ \implies t&=4, -1\end{aligned}[/tex]
As time is positive, t = 4 s (only).
Given
[tex]h = - 16 {t}^{2} + 48t + 64[/tex]
Where:- h= Height of ball (given in feet[ft]) and,
t= time (in seconds [s])
To find:-Time = (t)
SolutionWe know,
[tex] \text{When the ball hits the ground its height will be 0}[/tex]
[tex] \therefore h(t) = 0[/tex]
[tex] \implies - 16 t^{2} + 48t + 64 = 0 \\ \\ \fbox{taking - 16 as common multiple} \\ \\ \implies - 16(t {}^{2} - 3t - 4) = 0 \\ \\ \implies t {}^{2} - 3t - 4 = 0 \\ \\ \fbox {factorising the \: equation} \\ \\ \implies t {}^{2} - t - 4t - 4 = 0 \\ \\ \implies t(t + 1) - 4(t + 1) = 0 \\ \\ \implies(t - 4)(t + 1) = 0[/tex]
[tex] \tt{Either} \\ t - 4 = 0 \\ t = \red{ 4 } \\ \\ \tt{Or} \\ t + 1 = 0 \\ t = \red{ - 1}[/tex]
We know, Time cannot be negative.
So, Time (t) = 4 seconds
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answer:
2√6
using pythagoras theorem:
a² + b² = c²
5² + b² = 7²25 + b² = 49b² = 49 - 25b² = 24b = √24b = 2√6Answer:
2√6 unitsStep-by-step explanation:
The length of the third side can be determined using pythogoras theorem. Keep in mind that pythogoras theorem can only be used when finding the missing side length of a right triangle.
[tex]\text{Pythagoras theorem: (Longest side})^{2} = (\text{Leg of right triangle}_{1} ) ^{2} + (\text{Leg of right triangle}_{2} )^{2}[/tex]
In this triangle, we are given that:
The longest side of the triangle is measuring 7 units. A leg of the triangle is measuring 5 unitsSubstitute the measures into the pythogoras theorem:
[tex](7})^{2} = (5 ) ^{2} + (\text{Leg of right triangle}_{2} )^{2}[/tex]
Simplify both sides of the equation:
[tex]\rightarrowtail (7 \times 7}) = (5 \times 5) + (\text{Leg of right triangle}_{2} )^{2}[/tex]
[tex]\rightarrowtail49 = 25 + (\text{Leg of right triangle}_{2} )^{2}[/tex]
Subtract 25 both sides:
[tex]\rightarrowtail49 - 25 = 25 - 25 +(\text{Leg of right triangle}_{2} )^{2}[/tex]
[tex]\rightarrowtail24 = (\text{Leg of right triangle}_{2} )^{2}[/tex]
Square root both sides and simplify:
[tex]\rightarrowtail\sqrt{24} = \sqrt{(\text{Leg of right triangle}_{2} )^{2}}[/tex]
[tex]\rightarrowtail\sqrt{3 \times 2\times 2 \times 2} = \sqrt{(\text{Leg of right triangle}_{2} )^{2}}[/tex]
[tex]\rightarrowtail2\sqrt{3 \tim \times 2} = \text{Leg of right triangle}_{2}[/tex]
[tex]\rightarrowtail\boxed{2\sqrt{6} \ \text{units} = \text{Leg of right triangle}_{2}}[/tex]
Naomi wants to take yoga classes. she can take classes at the high school for a one-time fee of $20 plus $10 per class. she can join the local gym for $50 and take classes for $5 per class. which statement is true about the average cost for the two options? the high school option costs less per class for six classes. the gym option costs less per class for six classes. the high school option costs less per class for seven classes. the gym option costs less per class for seven classes.
The gym option costs less per class for six classes(Option B), and the gym option costs less per class for seven (Option D).
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Here we're specified that:
For high school classes:
one-time fee of $20 plus $10 per class.For local gym:
she can join for $50 and take classes for $5 per class.For 6 classes:
High school : $20 + $(10 + 10 + 10 + 10 + 10 + 10) = $20 + $10 × 6 = $(20+60) = $80
(since $20 dollar is one time cost, and $10 was price for each class)
Similarly, joining local gym's $50 cost is one time, and rest of $5 is price for each class.
Local gym : $50 + $(5+5+5+5+5+5) = $20 + $5 × 6 = $(20+30) = $50
For 7 classes:
High school : $20 + $(10 + 10 + 10 + 10 + 10 + 10 + 10) = $20 + $10 × 7 = $(20+70) = $90
Local gym : $50 + $(5+5+5+5+5+5+5) = $20 + $5 × 7 = $(20+35) = $55
Thus, the statements which are true about the average cost for the two options is given by: Option B: The gym option costs less per class for six classes., Option D: The gym option costs less per class for seven classes.
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hellllpppppppp plssssssssss
Answer:
69
Step-by-step explanation:
Find the area of the rectangle. 15 x 3 = 75.
Find the area of the cut-out triangle.
1/2bh
1/2(3(4))
1/2(12)
6
75 - 6 = 69.
2. Which of these lines meet at a point and produce square corner or right angle? * A. connecting lines B. parallel lines C. intersecting lines D. perpendicular lines
I need help with this so it said 36 is 9 times more than this number
Answer:
36 is 9 times more than 4
Step-by-step explanation:
9 * ?? = 36
to find the unknown number we solve:
36/9 = 4
so 9 times 4 equals 36
means that 36 is 9 times more than 4
HOPE THIS HELPS :)
Answer:
4
Step-by-step explanation:
9x4=36. I corrected both the guys before me who messed up
which equation represents a line which is perpendicular to the line x-5y=-40
Answer:
Final answer -
[tex]equation \: of \: such \: line \dashrightarrow \: y = - 5x + b \\ [/tex]
hope helpful :D
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
8 8 8/3 8/3
Answer:
Step-by-step explanation:
a maxicool consists of a cone full of ice cream with a hemisphere of ice cream on top. the radius of a hemisphere is 3cm. The height of the cone is 10cm. calculate the total volume of the ice cream round your answer to the nearest tenth
According to the information, it can be inferred that the volume of the ice cream is close to 207.33 cm³
How to calculate the volume of the maxicool?To calculate the volume of the maxicool, we must calculate the volume of the sphere of ice cream, and the volume of the cone that is filled with ice cream.
Volumen of the sphereV = [tex]\frac{4}{3}[/tex] × π × R³
V = [tex]\frac{4}{3}[/tex] × π × 3³
V = 113.09 cm³
Cone volume
V = [tex]\frac{1}{3}[/tex] × π × R² × h
V = [tex]\frac{1}{3}[/tex] × π × 3² × 10
V= 94.24 cm³
Finally we must add both values to know the total volume of the maxicool.
113.09 + 94.24 = 207.33 cm³
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Given the function f(x) = –5|x 1| 3, for what values of x is f(x) = –12?
For the given function f(x) = –5|x + 1| + 3 the value of x = 2, -4
What will be the value of x?To find the answer to this question, we will have to find the values of x where:
-5|x + 1| + 3 = -12
We can solve this equation for x to find the values of x that satisfy this equation.
-5|x + 1| + 3 = -12
Subtract 3 from both sides.
-5|x + 1| = -15
Divide both sides by -5.
|x + 1| = 3
Now here, the equation will split off into two different equations. These two are:
x + 1 = 3
x + 1 = -3
Lets solve the first one first.
x + 1 = 3
Subtract 1 from both sides.
x = 2
Now we solve the second one.
x + 1 = -3
Subtract 1 from both sides.
x = -4
So now we have the answers x = 2 and x = -4.
So the values of x are x = 2, -4
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Please, I Really Need Help!
Steve bought a used banjo for $395.00 at a music store. He was charged $425.89 for the purchase. Find the sales tax and the sales tax rate.
Sales tax rate is_____%(Round to the nearest tenth of a percent.)
Answer:
3090%
Step-by-step explanation:
425.89 - 395.00 = 30.89
Round to the nearest tenth = 30.9
Convert to a percentage = 3090%
HELP!!!!!!!!!!!!!!!!!!!!!!
name the angle using three points
MÎA or AÎM
the point where the angle is has to be in the middle, but for the other two letters, you can choose which one goes where
The sum of two positive integers is 31. If the sum of the squares of these numbers is 625,find the smaller of the numbers.
Step-by-step explanation:
It is given that, the sum of two positive integers is 31 and the sum of the squares of these numbers is 625 and we are to find the smaller of the numbers.
So, let the two positive integers be x and y.
Therefore,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad x + y = 31 \: \: ........ \: (i) }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x {}^{2} + y {}^{2} = 625 \: ...... \: (ii)}}} \\ \\[/tex]
Now, From the first equation we have,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad x + y = 31 }}} \\ \\ [/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad y = 31 - x \: ...... \: (iii)}}} \\ \\ [/tex]
Now, substituting the value of y in equation (ii) we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad x {}^{2} + (31 - x) {}^{2} = 625}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x {}^{2} + (31 {}^{2} - 2.x.31 + x{}^{2} ) = 625}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x {}^{2} + (961 - 62x + x{}^{2} ) = 625}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x {}^{2} + 961 - 62x + x{}^{2} - 625 = 0}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 2 x {}^{2} + 336 - 62x = 0}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 2 x {}^{2} - 62x + 336 = 0}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 2( x {}^{2} - 31 + 168) = 0}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad \frac{2}{2} ( x {}^{2} - 31 + 168) = \frac{0}{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x {}^{2} - 31 + 168 = 0}}} \\ \\[/tex]
Now using the quadratic formula :
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }}} \\ \\[/tex]
Where,
a = 1b = -31c = 168[tex] \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ - (- 31) \pm \sqrt{ {31}^{2} - 4(1)(168)} }{2(1)} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ 31 \pm \sqrt{ 961 -672} }{2(1)} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ 31 \pm \sqrt{ 289} }{2(1)} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ 31 \pm 17 }{2(1)} }}} \\ \\[/tex]
Now, we have two equations,
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ 31 + 17 }{2} \: ... .....\: (iv)}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ 31 - 17 }{2} ... .....\: (v)}}} \\ \\[/tex]
So, Equation (iv) :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad x = \frac{ 31 + 17 }{2} }}} \\ \\ [/tex]
[tex]\\ {\longrightarrow \pmb{\sf {\qquad x = \frac{ 48 }{2} }}} \\ \\ [/tex]
[tex]\\ {\longrightarrow \pmb{\sf {\qquad x = 24 }}} \\ \\ [/tex]
Now, Equation (v) :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad x = \frac{ 31 - 17 }{2}}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ 14 }{2}}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \: 7}}}\\ \\ [/tex]
So, the value of x is 7 or 24Now, we are to find the value of y.
Substituting the value of x (24) in equation (iii) :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad y = 31 - x \:}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad y = 31 - 24 \:}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad y = 7 \:}}} \\ \\ [/tex]
Again, Substituting the value of x (7) in equation (iii) :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad y = 31 - x \:}}} \\ \\ [/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad y = 31 - 7 \:}}} \\ \\ [/tex]
[tex]\\ {\longrightarrow \pmb{\sf {\qquad y = 24 \:}}} \\ \\ [/tex]
Therefore,
The value of y is also 7 or 24.[tex] \\ [/tex]
So, The smaller of the numbers is 7 .
The sum of two positive integers is 31. If the sum of the squares of these numbers is 625, find the smaller of the numbers.
Given : -Sum of two positive numbers = 31Sum of squares of these numbers = 625To Find : - We have to find the smaller of the numbers .Concept : -This question belongs to quadratic equations so we have to find the answer by making equation and solving it .
To Assume : -Let the first no. be x Let the second no. be ySo let's get started with Solution :According to question , sum of two positive integers is 31 . So ,
x + y = 31 --------- ( Equation 1 )According to question , sum of square
of these numbers is 625 . So ,
x² + y² = 625 --------- ( Equation 2 )From equation 1 ( x + y = 31 ) , Value
of x :
x = 31 - yNow , putting value of x in eq. 2 :
x² + ( 31 - x )² = 625 x² + ( 31 )² - ( 2 × 31 × x ) + x² = 6252x² + 961 - 62x = 6252x² - 62x = 625 - 9612x² - 62x = -3362x² - 62x + 336 = 0 2(x² - 31x + 168 ) = 0x² - 31x + 168 = 0Solving it by using middle term
splitting :
x² -24x -7x + 168 = 0x ( x - 24 ) -7 ( x - 24 ) = 0( x - 7 ) ( x - 24 )So ,First number ,
x - 7 = 0x = 7 { Smaller Number }Second Number ,
x - 24 = 0x = 24Verification :According to question ,
Sum of numbers is equal to 31 :
x + y = 317 + 24 = 31L.H.S = R.H.SSum of squares of these numbers is equal to 625 :
x² + y² = 6257² + 24² = 62549 + 576 = 625625 = 625L.H.S = R.H.STherefore , our value for x and y are true. Thus our answer is valid.#[tex] \rm{Keep \: Learning}[/tex]9. At a high school, 40% of the students play an instrument. Of those students, 20% are freshmen. Of the students who do not play an instrument, 30% are freshmen. What is the probability that a student selected at random is a freshman who plays an instrument?
Answer:
0.6%
Step-by-step explanation:
40% is the percentange of how many students play an instrument. (the whole) 20% is how many freshmen play. (part)
30% are the freshmen. 30% is over 100%.
20 x 100= 2000 and 40 x 30= 1200.
With the answers we got (2000 and 1200) we divide!!
2000÷1200=0.6
Which means the probabillity that the student is a random freshmen is 0.6% :)
How do you use exponents in a test
Answer:
An exponent is a number that is to a certain value, like 5^2.
The ^2 means multiply by itself by itself ONCE,
so it would be 5x5.
5^3 means multiply it by itself TWO TIMES,
and going on and on.
Let's say you have a test and the question it's asking is to simplify 5^4.
It's 5x5x5x5, multiplying it by itself FIVE TIMES.
Hope this helped!
Which expressions are equivalent to 3(6+b)-(2b + 1)?
Select two answers.
Step 1 - Use the distributive property and pick your first answer
Step 2 - Combine like terms and pick your second answer.
Answer:
18+3b-2b-1
b+17
Step-by-step explanation:
[tex]\mathrm{Using\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]
[tex]-\left(2b+1\right)=-2b-1[/tex]
[tex]=3\left(6+b\right)-2b-1[/tex]
[tex]=18+3b-2b-1[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=3b-2b+18-1[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:18-1=17[/tex]
[tex]=3b-2b+17[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:3b-2b=b[/tex]
[tex]=b+17[/tex]
[RevyBreeze]
A rectangular deck has a length of 12 feet and a perimeter of 36 feet. Include units with your answers.
The deck's width is____________________.
The deck's area is_______________________.
PLS HELPPPPPP
Answer:
The deck's width is 9 feet
The deck's area is 18 feet
Correct po yan
Hope it helps po
Answer:
Deck Width: 6 Feet
Deck Area: 72 Feet Squared
Step-by-step explanation:
[l = length, w = width, f = feet, p = perimeter, a = area]
A = l x w
P = 2l + 2w [l = 12f, p = 36f]
P = 2l + 2w
=> 36f = 2 (12f) + 2w
=> 36f = 24f + 2w
=> 36f - 24f = 2w
=> 12f = 2w
=> 2w/2 = 12f/2
=> W = 6f
Therefore: Width = 6 Feet
A = l × w
A = 12f × 6f
A = 72f^2
Therefore: Area = 72 Feet Squared