Answer:
[tex] \frac{3x}{2y + 3} + \frac{ {x}^{2} + 3x}{4xy - 3 - 2y+6x} [/tex]
combine like terms afterwards .. for the polynomial
Every 2 days Andy takes out the trash.Every 3 day he sweeps the kitchen.what is the least number of days that will pass before Andy will have to do both chores together on the same days?
Answer:
The least number of days that will pass before Andy will have to do both chores together on the same days are 5 days.
Step-by-step explanation:
Let us start from the initial day.
Every 2 days Andy takes out the trash.
So, the days he takes out trash are second day, fourth day, sixth day , eighth day , tenth day and so on.. (1)
Every 3 days Andy sweeps the kitchen.
So, the days he sweeps the kitchen are third day, sixth day , ninth day , twelfth day and so on.. (2)
Now, on comparing both equations (1) and (2) we see the first common day to both the chores is SIXTH DAY.
Hence, the least number of days that will pass before Andy will have to do both chores together on the same days are 5 days.
Find the value for θ.
sinθ=cos(θ−18.5)
Question 6 options:
35.75°
71.5°
54.25°
161.5°
Answer:
[tex]\theta=54.25\°[/tex]
Step-by-step explanation:
we know that
When the sine of angle X is equal to the cosine of angle Y, then angle X and angle Y are complementary angles
so
[tex]X+Y=90\°[/tex]----> equation A
In this problem
[tex]X=\theta[/tex]
[tex]Y=(\theta-18.5)[/tex]
substitute in the equation A
[tex]\theta\°+(\theta-18.5)\°=90\°[/tex]
[tex]2\theta=90+18.5[/tex]
[tex]2\theta=108.5[/tex]
[tex]\theta=54.25\°[/tex]
The Bridal Shop bought a dress from a supplier for $105 wholesale and applied a 65% markup to the price. If a 7.5% sales tax were added after a 20% discount was used, what would be the total cost to purchase the dress? A $146.20 B $149.00 C $158.48 D $160.17
Answer:
The correct answer is 149.00.
Step-by-step explanation:
Part = Percent • Whole
Adding a 65% markup to the original price of 105 is simply multiplying the price by the decimal form of the markup, then adding that to the original price. Next, you would find 20% of your sum by multiplying the sum by 0.20. Then you would find 7.5% of that and add this to the price.
Solve:
105 • 0.65 = 68.25 Find 65% of 105
105 + 68.25 = 173.25 Add the markup to the price
173.25 • 0.20 = 34.65 Find the discount of the new price
173.25 - 34.65 = 138.60 Subtract discount from price
138.60 • 0.075 = 10.395 Find sales tax of new price (Or round to 10.40)
138.60 + 10.395 = 148.995 Add sales tax to new price (Or 149)
Because money only goes to the hundredths place, we can either start rounding to that place in the second to last step - rounding 10.395 to 10.40 - or we can round our answer - 148.995 rounds to 149. Either way, we will still get an answer of $149.00.
Hope this helps.
♥A.W.E.S.W.A.N.♥
Answer:
B $149.00
Step-by-step explanation:
105 * 1.65 = 173.25 (100%+ 65%) Price with the markup
173.25 *0.80 138.60 (Price after 20% discount .The price will be the 80%)
138.60 * 1.075 = 148.995 (price with 7.5 sales tax.)
ASAP Can someone help with this problems just I only need which formula do I used I just need for 4,5 and 6 just tell me the formulas for Law of Cosines
Explanation:
The formula for law of cosines is:
[tex]a^{2} = b^{2} + c^{2} - 2bc(cosA)[/tex]
This is written at the top of your paper.
The angle is substituted where the capital A is. The side opposite to the angle is the angle name's lowercase. The two other sides are b and c.
Substitute all the information you know, then isolate the variable that you do not know.
When your formula is rearranged to look like this:
[tex]\frac{a^{2} - b^{2} - c^{2}}{- 2bc} = (cosA)[/tex]
Solve the left side and punch into your calculator:
cos⁻¹(left side) to find the angle A.
Lashonda worked for 13 hours each day for 5 days. Then the next day she worked 6 hours. How many hours did Lashonda work in all?
Answer: 71 hours
Step-by-step explanation:
Prove LO bisects angle MLN and identify which given statement is unnecessary.
Given:
LM = LN, KM = KN, KO bisects angle MKN
What we want to prove:
LO bisects angle MLN
=====================================
Proof:
Statement 1: KM = KN
Reason 1: Given
---------------------
Statement 2: KO bisects angle MKN
Reason 2: Given
---------------------
Statement 3: Angle MKO = Angle NKO
Reason: Definition of angle bisection
---------------------
Statement 4: KO = KO
Reason 4: Reflexive property of congruence
---------------------
Statement 5: Triangle MKO = Triangle NKO
Reason 5: SAS postulate
note: this combines statements 1, 3, and 4 (for the "S", "A", and "S" in that order)
---------------------
Statement 6: MO = ON
Reason 6: CPCTC
note: CPCTC stands for "corresponding parts of congruent triangles are congruent"
---------------------
Statement 7: Angle KOM = Angle KON
Reason: CPCTC
---------------------
Statement 8: OL = OL
Reason 8: Reflexive property of congruence
---------------------
Statement 9: Triangle MOL = Triangle NOL
Reason 9: SAS postulate
note: used statements 6, 7, 8 for the "S", "A", "S" in that order
---------------------
Statement 10: Angle MLO = Angle NLO
Reason 10: CPCTC
---------------------
Statement 11: LO bisects angle MLN
Reason 11: Definition of angle bisection
---------------------
That concludes the proof. We did not use the statement "LM = LN", so it is unnecessary.
To prove that LO bisects angle MLN, we can use the Angle Bisector Theorem. According to this theorem, if a line bisects an angle, it divides the opposite side into two segments that are proportional to the adjacent sides of the angle. We can prove this by using the given information and applying the theorem.
Explanation:To prove that LO bisects angle MLN, we can use the Angle Bisector Theorem. According to this theorem, if a line bisects an angle, it divides the opposite side into two segments that are proportional to the adjacent sides of the angle. In this case, LO is the angle bisector of angle MLN if and only if (MN/NO) = (ML/LO). We can prove this by using the given information and applying the theorem.
Given:
LO bisects angle MLNTLX TLTo prove:
LO bisects angle MLNProof:
Since LO bisects angle MLN, TLX and TL are alternate interior angles and are therefore congruent.In triangle MLN, using the Law of Sines, we can express the ratio of sides as follows: MN/sin(TLX) = ML/sin(TL)Since sin(TLX) = sin(TL) (by the congruent angles), we can simplify the expression to: MN/ML = sin(TLX)/sin(TL)According to the Angle Bisector Theorem, we know that TO/OL = TN/NL, which can be written as: OL/TN = LO/NLUsing the Sine Law in triangle OTL, we have: LO/sin(OTL) = TL/sin(LOT)Since OTL is congruent to TLX (by the congruent angles), we can simplify the expression to: LO/TL = sin(TLX)/sin(TL)Comparing the expressions MN/ML = sin(TLX)/sin(TL) and LO/TL = sin(TLX)/sin(TL), we can conclude that MN/ML = LO/TLTherefore, LO bisects angle MLN (by the Angle Bisector Theorem)So, we have proven that LO bisects angle MLN.
The given statement that is unnecessary for this proof is 'TLX TL' because it does not provide any additional information or requirement for proving that LO bisects angle MLN.
Darren has a piece of wood that is 7 in by 8 in. Explain how he can divide this large rectangle into two small rectangles
Answer:
Cut it in half so that the two pieces are each 7 in by 4 in.
I don’t know how to fine the square root
Answer:
Look the square root up on the internet.
Step-by-step explanation:
The grocery store sells 3 packages of biscuits for $1.35. At this rate, how much will 8 packages of biscuits cost?
A
$3.60
B
$10.80
C
$12.35
D
$17.78
Answer:
the answer is A
Step-by-step explanation:
1.35 divided by 3 = 0.45
0.45 multiplyed by 8 = $3.60
Alvin’s age is three times Elga’s age. The sum of their ages is 20. What is Elga’s age?
Answer:
Elga's age is 5.
Step-by-step explanation:
3x=y
x+y=20
-------------
x+3x=20
4x=20
x=20/4
x=5
3(5)=15
y=15
x=5, y=15
A student claims that a linear-quadratic system of equations has three solutions. Explain the error the student made.
Step-by-step explanation:
A line and a quadratic (parabola) can have either 0, 1, or 2 solutions.
0 solutions: the line and quadratic do not intersect.1 solution: the line and quadratic are tangent (intersect at one point), or the line is the axis of symmetry (intersects only at the vertex).2 solutions: the line and quadratic intersect at two points.It is impossible for a linear-quadratic system to have more than 2 solutions.
Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%. How much will she have in the account after 3 years? Round to the nearest dollar.
Answer:
$4,500
Step-by-step explanation:
4,200e^3(.023)
Please explain how you found the measure of angle one angle two and angle three and angle four
Answer:
IT IS ETHER A OR B BROBABLY
Step-by-step explanation:
How do you express 1/2% as a decimal?
Fill the blanks.
__ divided by 100 = __
To find 1/2% as a decimal we can divide this by 100. (This is shown in the question)
1/2 = 0.5
0.5 / 100 = 0.005 (0.5% divided by 100 = 0.005)
_______
Best Regards,
Wolfyy :)
Need help with this math problem
z = 37°
Step-by-step explanation:
The exterior angle theorem says that the sum of two internal angles is equal to the exterior angle
In this case the sum of z and z+4 will be equal to z+41
Writing mathematically
[tex]z + z+ 4 = z + 41\\2z+4 = z + 41\\2z -z = 41 -4\\z = 37[/tex]
Hence
z = 37°
Keywords: Angles, Triangles
Learn more about angles at:
brainly.com/question/10800566brainly.com/question/10808021#LearnwithBrainly
What can you conclude about the relationship between the time spent watching tv and the grades received on the quiz?
Answer:
Step-by-step explanation:
It's perfectly logical that as the number of hours spent watching TV increases, the grades received on the quizzes drop. There's a negative correlation between the two variables.
What the sum of -1 2/3÷(2 1/5)
Answer:
-20/21
Step-by-step explanation:
Identify whether the number is prime or composite. If the number is composite, then identify the factors. 41
Answer:
Prime number
Step-by-step explanation:
41 is a prime number.
How to test:
Divide 41 by every whole number from 1 until about it's square root.
√41 is about 6.4, round up to 7.
If any quotient is not a decimal number, 41 is not prime.
41/2 = 20.5
41/3 = 13.7
41/4 = 10.25
41/5 = 8.2
41/6 = 6.8
41/7 = 5.9
These are all decimal numbers.
Step-by-step explanation:
The answer would be A
It takes 3 1/3 kilometers of thread to make 3 1/2 boxes of shirts. How many kilometers of thread will it take to make 8 boxes?
[tex]7\frac{13}{21}[/tex] km thread will be needed for 8 boxes of shirts
Step-by-step explanation:
The proportion will be used to find the measurement of thread
Given
It takes 3 1/3 kilometers of thread to make 3 1/2 boxes of shirts.
Now,
As there are more boxes, more thread will be needed. So it is a direct proportion
So,
[tex]Km:box::Km:box\\3\frac{1}{3}: 3\frac{1}{2}::x:8\\\frac{10}{3}:\frac{7}{2}::x:8\\\frac{\frac{10}{3}}{\frac{7}{2}} = \frac{x}{8}\\\frac{10}{3} * \frac{2}{7} = \frac{x}{8}\\\frac{20}{21} = \frac{x}{8}\\x = \frac{20}{21} * 8\\x = \frac{160}{21}\\x = 7\frac{13}{21}[/tex]
Hence,
[tex]7\frac{13}{21}[/tex] km thread will be needed for 8 boxes of shirts
Keywords: Unit rate, conversion
Learn more about conversion at:
brainly.com/question/10941043brainly.com/question/10978510#LearnwithBrainly
Write the three digit number for 500+30+8
Solve for b 2/3+5=20-b
Answer:
b=43/3
Step-by-step explanation:
2/3+5=20-b
2/3+15/3=20-b
17/3=20-b
b=20-17/3
b=60/3-17/3
b=43/3
How many degrees would a kite need to be rotated to carry it onto itself?
Find f'(x) for f(x)=cos^2(5x^3).
d/dx cos^2(5x^3)
= d/dx [cos(5x^3)]^2
= 2[cos(5x^3)]
= - 2[cos(5x^3)] * sin(5x^3)
= - 2[cos(5x^3)] * sin(5x^3) * 15x^2
= - 30[cos(5x^3)] * sin(5x^3) * x^2
Explanation:
d/dx x^n = nx^(n - 1)
d/dx cos x = - sin x
Chain rule:
d/dx f(g(...w(x))) = f’(g(...w(x))) * g’(...w(x)) * ... * w’(x)
Step-by-step explanation:
f(x) = cos²(5x³)
f(x) = (cos(5x³))²
Use chain rule to find the derivative:
f'(x) = 2 cos(5x³) × -sin(5x³) × 15x²
f'(x) = -30x² sin(5x³) cos(5x³)
If desired, use double angle formula to simplify:
f'(x) = -15x² sin(10x³)
The figure shown is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles, and the area of the blue rectangle is 24 square inches.
A. Write an expression for the area of the entire figure that includes an exponent. Then find the area.
B. Find the dimensions of the entire figure.
Answer:
A. (2 × 6) + (3 × 8) + 6²
72 sq. inches.
B. 9 in. by 8 in.
Step-by-step explanation:
The white shape has dimensions of 2 in. by 6 in. and the green shape is a square.
So, the dimension of the green shape is 6 in. by 6 in.
Therefore, the length of the blue shape is (6 + 2) = 8 in.
Now, given that the area of the blue shape is 24 sq. in.
So, the width of the blue shape is [tex]\frac{24}{8} = 3[/tex] in.
Now, if we consider the total figure, then area of the entire figure = area of the white shape + area of the green shape + area of the blue shape.
= (2 × 6) + (3 × 8) + 6² (Answer)
= 12 + 24 + 36
= 72 sq, inches. (Answer)
Now, the length of the entire figure is (6 + 3) = 9 in. and width of the entire figure is (2 + 6) = 8 in.
Therefore, the dimensions of the entire figure will be 9 in. by 8 in. (Answer)
What is an equation that represents the line that passes through the point (-2, 2) and is parallel to
Y=1/2X+ 8?
Answer:
[tex]y = \frac{1}{3}x + 3[/tex]
Step-by-step explanation:
The slope of two parallel straight lines are the same.
Now, the slope of the line [tex]y = \frac{1}{2} x + 8[/tex] is [tex]\frac{1}{2}[/tex] as the straight line equation is in slope-intercept form.
Now, the equation of the straight line in slope-intercept form which is parallel to the above line is [tex]y = \frac{1}{2} x + c[/tex] ............. (1) , where c is any constant.
Now, point (-2,2) is on the line (1) {Given}
So, this point will satisfy the equation.
Hence, [tex]2 = \frac{1}{2} (- 2) + c[/tex]
⇒ c = 3.
Therefore, the equation of the required straight line is [tex]y = \frac{1}{3}x + 3[/tex] (Answer)
Eric is swimming along the surface of the sea. He uses
positive numbers to represent elevations above the
surface of the sea and negative numbers to represents
depths under the surface of the sea.
Mark is sitting on the deck of a ship above Eric, and Ariel
is diving beneath Eric.
Who could be at an elevation of -3 m?
Choose 1 answer:
©
Ariel
©
Eric
©
Mark
Answer:
Ariel
Step-by-step explanation:
Ariel is diving which is below the surface of the water
Answer:
ariel
Step-by-step explanation:
Please help quick will give brainliest
Answer:
a(1) = 8, a(n + 1) = a(n) + 5
Checking this:
a(2) = a(1) + 5 = 8 + 5 = 13
a(3) = a(2) + 5 = 13 + 5 = 18
a(4) = a(3) + 5 = 18 + 5 = 23
a(5) = a(4) + 5 = 23 + 5 = 28
Which graph shows the strongest positive correlation?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
C
Step-by-step explanation:
Section #1: Solvi
1) Find the solution to each equation
A) 4(2x - 1) = -3x + 32
what is the answer
Answer:
x=36/11
Step-by-step explanation:
4(2x-1)=-3x+32
8x-4=-3x+32
8x-(-3x)-4=32
8x+3x-4=32
11x-4=32
11x=32+4
11x=36
x=36/11
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left.
Write an equation to determine the number of friends (x) at Jack's party.
Find the number of friends at Jack's party.
friends
Answer:
Equation: 3x + 2 = 50
# of friends: 16
Step-by-step explanation:
3 chocolates each or 3x because what "each" means is not known yet-
3x
Note: Always use x for an unknown value
2 remaining chocolates-
3x + 2
50 total chocolates-
3x + 2 = 50
Remove two to keep the x alone-
3x = 48
Remove the 3 or the "Coefficient" by dividing-
48/3 = 16
x = 16
Equation: 3x + 2 = 50
# of friends: 16