Please use system of linear equations by elimination OR substitution. I need the work as well please.
Answers
1) P= 64 cm, width = x, length = 14 + x
64 = x + x + 14 + x + 14 + x
64 = 4x + 28
4x = 64 - 28
4x = 36
x = 36/ 4
x = 9
AREA = 9 x (9+14)
Area = 9 x 23
Area = 207 cm
2) smaller no. = y, bigger no. = x
x - y = 3
2x+1/2y=36
Next, multiply 2 to first equation and find y:
2x-2y=6
5/2y=30
y = 12
Substitue y to x-y=3 to find x,
x = 15
3) x = pencil, y = pen
5x + 4y = $6.15
8x + 3y = 9.85$
8x + 7y = ?
5x + 4y = 6.15$ multiply both sides by -3
8x + 3y = 9.85$ multiply both sides by 4
-15x + 32x = (-3)*6.15 + 4*9.85
7x = 19.87 multiply both sides by 8/7
8x = (8/7) x 19.87
Add both equations:
32y - 15y = 8x6.15 - 5*9.58
17y = 1.3
y = 91/17) x 1.3
7y = (7/17)x 1.3
8x + 7y = (8/7) x 19.87 + (7/17) x 1.3
8x + 7y = $23.244
4) 2l + 2w = 0
2 x 2l + 2 x 1/2w = 40 + 16
l+w = 20
4l+w = 56
I’ve got l = 12 and w = 8
5) answer: 28.56 feet (approx)
step-by-step explanation:
since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.
we have to find out the measurement of segment ab.
therefore, tan 55° = \frac{ab}{bc}
but bc = 20 feet.
⇒ tan 55 ° = \frac{ab}{20}
⇒ ab = 20 × tan 55 °
⇒ ab = 20 × 1.42814800674
⇒ ab = 28.5629601348 ≈ 28.56 feet
6) The answer is teh attachment !
7) 3x-x+2=4
HOPE THE ANSWERS HELP!! PL MARK ME BRAINLIEST!
Related Questions
Find the exact value, without a
calculator.
710
6
sin
2
tan
12
6
2
7Tt/6
COS
Answers
Answer:
[tex]-2 -\sqrt{3}[/tex]
Step-by-step explanation:
First consider numerator
[tex]sin \frac{\frac{7\pi}{6}}{2} = sin \frac{7\pi}{12}= sin (\frac{\pi}{4} + \frac{\pi}{3})[/tex]
Using the formula : sin (A + B) = sin A cos B + cos A sin B
[tex]sin \frac{\pi}{4} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{4} = \frac{\sqrt{2} }{2}\\\\sin \frac{\pi}{3} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{3} = \frac{1}{2}[/tex]
[tex]sin(\frac{\pi}{4} + \frac{\pi}{3}) = sin \frac{\pi}{4} \cdot cos \frac{\pi}{3} + cos \frac{\pi}{4} \cdot sin \frac{\pi}{3}[/tex]
[tex]=\frac{\sqrt{2} }{2} \cdot \frac{1}{2} + \frac{\sqrt{2} }{2} \cdot \frac{\sqrt{3} }{2} \\\\= \frac{\sqrt{2} }{4} + \frac{\sqrt{6} }{4}\\\\=\frac{\sqrt{2} +\sqrt{6} }{4}[/tex]
Second consider denominator
[tex]cos \frac{\frac{7\pi}{6}}{2} = cos \frac{7\pi}{12}= cos (\frac{\pi}{4} + \frac{\pi}{3})[/tex]
Using the formula : cos (A + B) = cos A cos B - sin A sin B
[tex]sin \frac{\pi}{4} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{4} = \frac{\sqrt{2} }{2}\\\\sin \frac{\pi}{3} = \frac{\sqrt{2} }{2}, \ cos \frac{\pi}{3} = \frac{1}{2}[/tex]
[tex]cos(\frac{\pi}{4} + \frac{\pi}{3}) = cos \frac{\pi}{4} \cdot cos \frac{\pi}{3} -sin \frac{\pi}{4} \cdot sin \frac{\pi}{3}[/tex]
[tex]=\frac{\sqrt{2} }{2} \cdot \frac{1}{2} - \frac{\sqrt{2} }{2} \cdot \frac{\sqrt{3} }{2}\\\\=\frac{\sqrt{2}}{4} - \frac{\sqrt{6}}{4}\\\\= \frac{\sqrt{2} -\sqrt{6} }{4}[/tex]
Therefore,
[tex]tan \frac{7\pi}{12} = \frac{sin \frac{7\pi}{12}}{cos\frac{7\pi}{12}}[/tex]
[tex]= \frac{\frac{\sqrt{2} +\sqrt{6} }{4}} {\frac{\sqrt{2} -\sqrt{6} }{4} }\\\\=\frac{\sqrt{2} +\sqrt{6} }{4} \times \frac{4 }{\sqrt{2} -\sqrt{6}}\\\\=\frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} -\sqrt{6}}[/tex]
Either we can stop here or Rationalize the denominator:
[tex]\frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} -\sqrt{6}} \times \frac{\sqrt{2} +\sqrt{6} }{\sqrt{2} +\sqrt{6}} = \frac{(\sqrt{2} +\sqrt{6})^{2} }{(\sqrt{2})^2 -(\sqrt{6})^2} = \frac{2 + 6 +2\sqrt{12} }{2-6} = \frac{8+2\sqrt{12} }{-4} = \frac{8+ 4\sqrt{3} }{-4} = -2-\sqrt{3}[/tex]
Find the simple interest earned for the account
$300 at 13% annual interest for 9 years
Answers
9514 1404 393
Answer:
$351
Step-by-step explanation:
Use the simple interest formula for this.
I = Prt
where P is the invested amount at annual rate r for t years.
Using your values, we find the interest to be ...
I = $300·0.13·9 = $351
The account will earn #351 in interest over 9 years.
=-= 50 Points =-= Must give the correct answer
Solve by equating exponents and using the Equality of Bases Property.
Solve (2)^x/2 = 16 for x
Answers
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
can someone please help me
Answers
Answer:
yeah what you need help with
someone help..thanks:)
Answers
Answer:
Step-by-step explanation: hope u like that cus i sike that C?
Answer:
B looks like a 180 degree angle cause its js a straight line and isnt curved or bent. Brainliest plz?
Step-by-step explanation:
please help! i will give brainliest if you answer all and correctly
Answers
Answer: a is 21 b is 45 and c is yes more people are going above because the median is above the speed limit
Step-by-step explanation:
What are the measures of ∠1, ∠2, and ∠3? Enter your answers in the boxes
Answers
All angles of the triangle are equal.
180-60=120
Mr. Johnson buys 5 bottles of lemonade for the school plenie, He buys four 28-
ounce bottles and one 64 ounce bottle. Using rounding to the nearest ten, about
how much lemonade does Mr. Johnson buy in all?
Answers
Answer:
He bought about 176 ounces or 22 cups, or 5.2 liters.
Step-by-step explanation:
1.) 4 * 28 = 112
2.) 112 + 64 = 176 (answer in ounces)
3.) 8 ounces in a cup
4.) 176 ÷ 8 = 22 (answer in cups)
5.) About 4.227 cups in a liter
6.) 22 ÷ 4.227 = 5.204636858
7.) Round to the nearest tenth = 5.2 (answer in liters)
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Answers
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Which expression is equivalent to 4f2/3 ÷ 1/4f ?
Answers
Answer:
[tex] \frac{16 {f}^{3} }{3} [/tex]Step-by-step explanation:
[tex] \frac{4f^{2} }{3} \div \frac{1}{4f} [/tex]
[tex] \frac{4 {f}^{2}}{3} (4f)[/tex]
[tex]4 \frac{4 {f}^{2} }{3} f[/tex]
[tex] \frac{16 {f}^{2} }{3} f[/tex]
[tex] \frac{16 {f}^{3} }{3} [/tex]
Hope it is helpful....6g = 48
g=?
What does g=?
Answers
Answer:
8
Step-by-step explanation:
6g = 48
/6 /6
divide 6 by both sides
g = 8
hope this helped!
Help me find the mean mode range median
Answers
Answer:
Mean=2.53
median=2
mode=2
range=3
Step-by-step explanation:
1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4
MEAN
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
38/15=2.53
MEDIAN
Arrange data values from lowest to the highest value
The median is the data value in the middle of the set
If there are 2 data values in the middle the median is the mean of those 2 values.
MODE
Mode is the value or values in the data set that occur most frequently.
RANGE
18-15=3
Find a formula for dy/dx if sin x + cos y + sec(xy) = 251
Answers
Answer:
[tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Algebra I
FactoringCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Trig Differentiation
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Implicit Differentiation
Step-by-step explanation:
Step 1: Define
Identify
sin(x) + cos(y) + sec(xy) = 251
Step 2: Differentiate
[Implicit Differentiation] Trig Differentiation [Chain Rule]: [tex]\displaystyle cos(x) - sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = 0[/tex] [Subtraction Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] terms: [tex]\displaystyle -sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = -cos(x)[/tex][Distributive Property] Distribute sec(xy)tan(xy): [tex]\displaystyle -sin(y)\frac{dy}{dx} + ysec(xy)tan(xy) + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x)[/tex][Subtraction Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] terms: [tex]\displaystyle -sin(y)\frac{dy}{dx} + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x) - ysec(xy)tan(xy)[/tex]Factor out [tex]\displaystyle \frac{dy}{dx}[/tex]: [tex]\displaystyle \frac{dy}{dx}[-sin(y) + xsec(xy)tan(xy)] = -cos(x) - ysec(xy)tan(xy)[/tex][Division Property of Equality] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex]: [tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
360 cubic inches (remember your units!)
Step-by-step explanation:
the formula for volume of a rectangular prism is length times width times height times depth so you have to do 8 times 5 times 9 witch is 360 cubic inches
What is the value of x?
Enter your answer in the box.
Answers
Step-by-step explanation:
which class are you
just to confirm
The five members of the Garcia family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6.00. If the total cost of the trip is $240, what is the price of each train ticket? Show me the equation and show me the steps to solve it and finish with a sentence describing what a train ticket costs.
Answers
Answer:
A train ticket costs $42
Step-by-step explanation:
5x + 30 = 240 (6 * 5 = 30, cost of lunch times 5 members of family)
5x = 240 - 30
5x = 210
x = 42
A train ticket costs $42.
What is the range of {(0, 2), (1, 3), (2, 4), (1,4)}
Answers
Answer:
Mean: 2.125
median: 2
range: 4
Tad runs one-half mile for every one-third mile that
Elaine runs. If together they run a total of 10 miles, how
far does Tad run?
Answers
Answer:
Tad ran 6 miles while Elaine ran 4 miles.
Step-by-step explanation:
Since Tad runs one-half mile for every one-third mile that Elaine runs, to determine, if together they run a total of 10 miles, how far does Tad run, the following calculation must be performed:
0.5 x 2 = 1
0.333 x 2 = 0.666
10 / 1.666 = X
6 = X
6 x 1 = 6
6 x 0.666 = 4
Therefore, Tad ran 6 miles while Elaine ran 4 miles.
Please help!!! Will give brainliest to the first correct answer!
Answers
Answer:
a. (-4,8)
Step-by-step explanation:
the two lines intersect at this point
i’m think it’s A or C. help :(
Answers
Answer:
girly
Step-by-step explanation:
I'd tell u to go with c I could be wrong tho but that's my guess and tell me if I got it right okay?
Step-by-step explanation:
the answer is n²
n plus n is 2n
and we have 2n as option b.. pls the answer is 2n
I need help wit this
Answers
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEE im confused
Answers
Answer:
1.B,C,D
2.A,D,E
I don't really know how to explain it to you but thats your answer :D
1. what is the exact demical value of 225/16?
2. what is the exact decimal value of 77/12?
Answers
Answer:
14.0625 = [tex]\frac{225}{16}[/tex]
6.41666666666... = [tex]\frac{77}{12}[/tex]
Hope that this helps!
Barnes and Noble had a $1.00 annual dividend during 2008. If you owned 500 shares
of Barnes and Noble, how much did you receive on a quarterly dividend check?
Answers
Answer:
Is the annual dividend 1 dollar per share? Because if so, that means you would get 500 dollars yearly, and then divide that by 4 to get quarterly, making the answer 125 dollars in the quarterly check.
The amount that you receive on a quarterly dividend check will be $125.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Barnes and Noble had a $1.00 annual dividend in 2008. If you owned 500 shares of Barnes and Noble. Then the cost of the 500 shares will be
⇒ 500 x $1
⇒ $500
Then the amount that you receive on a quarterly dividend check will be
⇒ $500 / 4
⇒ $125
The amount that you receive on a quarterly dividend check will be $125.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Which of the following exponential functions represents the graph below
Answers
Answer:
option B
Step-by-step explanation:
A delivery driver estimates his truck uses an average
of 22.5 gal of fuel per day. This estimate is within 4%
of the actual fuel the driver records each day for one
month
Answers
Answer:
18.5 - - - - NO
24.3 ____ NO
21.6 __ YES
26.5 ___No
23.3 ___ YES
Step-by-step explanation:
Estimate = 22.5 gallons
Error margin = 4%
Hence ;
4% of 22.5 = 0.9
Actual usage :
(22.5 - 0.9) = 21.6
(22.5 + 0.9) = 23.4
Actual usage is within (21.6 ; 23.4)
Hence,
18.5 - - - - NO
24.3 ____ NO
21.6 __ YES
26.5 ___No
23.3 ___ YES
A(t) = 110000(1 + 0.06)2025
Answers
OKAY, 66% WE NEED AN 80! PLEASE HELP!
Answers
Answer:
Hi again:
77 square millimetres
Step-by-step explanation:
Have a good day :)
Answer:
56 mm²
Step-by-step explanation:
12 - 4 = 8
8 · 7 = 56
56 ÷ 2 = 28
28 mm²
28 mm² + 28 mm²
56 mm²
HELP DUE IN 10 MINS!
Will GIVE BRAINLEST
Answers
Answer:
AB= 5.582
Step-by-step explanation:
Centeral angle /360° = AB length/2 pi r
[tex] \frac{80}{360} = \frac{ab}{4} \\ ab = 5.582[/tex]
Answer:
5.6
Step-by-step explanation:
the length of arc AB =
80/360 × 2× 3.14×4
= 2/9 × 3.14 × 8
= 5.58 => 5.6