Answer:
$258
Step-by-step explanation:
75% = 0.75 when we divide by 100 to convert a percentage to a decimal
75% of total sales = money donated
Total sales = sales from first show + sales from second show
= 24n+32 + (40n+56)
= 64n + 88
0.75 of (64n+88) = money donated
= 0.75 * (64n+88)
= 48n + 66
substitute 4 for n, as she charges $4 for each bracelet
money donated = 48*4 + 66 = 258
Help please!
S = 180m
How many strides would a runner take during a 1-hour run (60 min)
The number of strides the runner will make during 1 hour run will be =
10,800.
How to calculate the total number of strides made by the runner in a hour?To calculate the distance or number of strides made by the runner in an
hour, the graph given above is considered as follows;
The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.
From the graph
20 minutes= 3600 strides
60 minutes = X strides
make X the subject of formula;
x= 3600×60/20
= 216000/20
= 10,800
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Complete the proof that the sum of a triangle's interior angle measures is 180°.
BE
2
3
A
4
D
mZA =
m/B= 65°
m/C=
40
Statement
1 Construct DĚ through B parallel to
AC.
65
75°
Choose 1 answer:
C
5 m/A+m/B+m/C = 180°
↑
➜>>
Reason
Given a line, we can construct a parallel line through a
point not on the given line.
Alternate interior angles formed by parallel lines have
equal measures.
Given
Alternate interior angles formed by parallel lines have
equal measures.
Substitution and addition (2, 3, 4).
Did we prove the conclusion true for every triangle or only for this specific triangle?
Answer:
Because its up to 180 degrees like a rainbow
Construct DE through B parallel to AC. | Given a line, we can construct a parallel line through a point not on the given line.
m∠BAC = m∠BCA' | Alternate interior angles formed by parallel lines have equal measures.
m∠ABC = m∠BCA | Alternate interior angles formed by parallel lines have equal measures.
m∠BAC + m∠ABC + m∠BCA = 180° | Substitution and addition (2, 3).
m∠A + m∠B + m∠C = 180° | Substitution (1).
Conclusion: The sum of the interior angle measures of any triangle is 180°.
How to explain the proofWe proved the conclusion true for every triangle because we used the fact that alternate interior angles formed by parallel lines have equal measures. This is a property of parallel lines that holds true for all triangles.
In other words, we can construct a parallel line to any side of a triangle through any point on the other side of the triangle. This means that the sum of the interior angle measures of any triangle will always be 180°.
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4x + 5 + 5x + 6 = 29. Whats X?
Answer:
9x
Step-by-step explanation:
the full answer is 9x+11=29
Answer:
X=2
Step-by-step explanation:
Add the numbers
4+5+5+6=29
4x+{\color{#c92786}{5}}+5x+{\color{#c92786}{6}}=29
4x+5+5x+6=294+11+5=29
4x+{\color{#c92786}{11}}+5x=29
4x+11+5x=29
Combine like terms
Subtract
1
1
11
11
from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
Solution
=
2
0 is theta or also could be x
cot²θ . cos²θ is the value of x in trigonometric functions.
What do the trig ratios indicate?
Trigonometric All trigonometric functions' values that are dependent on the right-angled triangle's side ratio are referred to as ratios. The trigonometric ratios of a certain acute angle are the ratios of a right-angled triangle's sides to that angle. A reference angle's sine, cosine, tangent, cotangent, secant, and cosecant are the six trigonometric ratios.
L.H.S.
= cot²θ - cos²θ
= Cos²θ/sin²θ - cos²θ
= cos²θ - (cos²θ)sin²θ/sin²θ
= cos²θ(1 - sin²θ)/sin²θ
= cos²θ * cos²θ/sin²θ
= cot²θ . cos²θ
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50pts!!!!
Many investors use interest-only loans to buy shares or property. For such loans the principal stays constant and only the interest is paid back each month.
She buys an investment property for $300 000 and borrows the full amount at 7% p.a. simple interest. She rents out the property at $1500 per month and pays $3000 per year in rates and other costs to keep the property.
Find the amount of interest she needs to pay back every month.
Find her yearly income from rent.
By considering the other costs in keeping the property, calculate her overall loss in a year.
she hopes that the property’s value will increase enough to cover any loss she is making. By what percentage of the original price will the property need to increase in value per year?
Step-by-step explanation:
to find the interest she needs to pay back every month, we need to use this formula:
I = PRT/12
in this case the principle is $300,000, the rate is 7% p.a. and the amount of time is 1 year, if we substitute in our values we:
I = (300,000)(7)(1)/12 = $17,500 in interest every month
to find her yearly income from rent, we have to multiply the monthly rent by 12
1500 × 12 = $18,000
to calculate her loss percentage in a year, we have to subtract 18,000 from 3000 which is 15,000
she said that she hopes the property's value will increase to cover the loss she made.
to cover the loss of $15000 per year, the property needs to increase in value by at least $15000. the percentage increases value can be written as
Percentage increase = (difference in increase/Original price) × 100
so
percentage increase = (15000/300000) × 100 = 5%
so the property needs to increase in value by at least 5% per year to cover the loss.
The woman needs to pay $1750 monthly as interest. Her yearly income from the rent is $18,000. After considering all other costs, she is at a loss of $6000 per year, so the property needs to increase in value by 2% per year to cover this loss.
Explanation:First, let's calculate the monthly interest she needs to pay. 7% of $300,000 is $21,000 for a year. To find the monthly interest, we divide this by 12, resulting in $1750.Her yearly income from rent is $1500 multiplied by 12, giving us $18,000.To calculate her overall loss, we add the yearly interest and the costs to keep the property, then subtract the yearly rent income. So, $21,000 + $3000 - $18,000 = $6000 loss per year.Lastly, to find out by what percentage the property value needs to increase, we divide the loss by the original price and multiply by 100, giving us 2% increase per year.Learn more about Interest and Profit Calculation here:https://brainly.com/question/32651816
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PLEASSSSSSSSSEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Shirley thought there were 25 students in her math class, but there were actually 27 students. What is her percent error?
27-25=2
so her absolute error was 2 students
divide the answer by 100 to get the percentage error.
percentage error = absolute error/ 100
2/100=0.02%
therefore her percentage error is 0.02%.
Does Stephanie have enough to cover the property damages
Since Stephanie carries a 100/300/100 liability policy, Stephanie's insurance can cover up to $100,000, therefore Stephanie have enough coverage to cover the property damages.
What is Property Damage?Property damage is any harm or destruction to real or tangible personal property that is brought on by carelessness, intentional obliteration, or a natural disaster.
A more serious form of property damage known as destruction of property involves physical harm to items that are either beyond repair or would be very expensive to replace.
We see that Stephanie has an insurance policy and because she has a 100/300/100 liability policy, she can cover for the damage because it is less than $100,000
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i need help with this question
Answer:(2I3O-9247)
Step-by-step explanation:
Katia placed the rest of the stickers on pages 2 and 3 of her scrapbook, as
shown below
Complete the expression below to represent the total number of stickers on
pages 2 and3
The expression can be completed as 4 × (4 + 3)
How to complete the expression?A mathematical expression is a combination of numbers, symbols, and operations that represent a mathematical relationship or calculation.
Mathematical expressions can be used to represent a wide range of concepts, including algebraic equations, geometric formulas, and statistical models.
Looking at the pages:
On page 2, we have 4 stickers per row while on page 3 we have 3 stickers per row. Also, both page 2 and page 3 have 4 rows each. Thus, we can complete the expression as follows:
4 × (4 + 3)
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Earl runs 90 meters in 60 seconds. How many meters does Earl run per second? Earl runs meters per second.
Answer:
1 1/2 meters
Step-by-step explanation:
Answer:
Earl runs 1.5 meters per second.
Step-by-step explanation:
90m/60sec = 1.5m/sec
adwoa received a commission of 20% on a bread she sold. in one week, Adwoa's commission was Gh¢540.00.
find
i. how much bread did she sell during the week.
ii. find her average daily commission
Answer:
tis is not confirmed aswer
Step-by-step explanation:
daily commission: 27%
Perimeter is the sum of the sides of a shape. If a triangle has sides of 12, 27, and 38, what is its perimeter?
Answer: 77
Add the three given values to get that result above.
What is the solution for x in the equation?
1/2 - x + 3/2 = x - 4
The solution to the equation 1/2 - x + 3/2 = x - 4 is x = 3.
We have Equation 1/2 - x + 3/2 = x - 4
Now, solving the equation for x we get
/2 - x + 3/2 = x - 4
First, let's combine the like terms on both sides of the equation:
(1/2 + 3/2) - x = x - 4
4/2 - x = x - 4
2 - x = x - 4
Next, let's move the term with x to the left side by adding x to both sides:
2 - x + x = x - 4 + x
2 = 2x - 4
Then, let's move the constant term -4 to the right side by adding 4 to both sides:
2 + 4 = 2x - 4 + 4
6 = 2x
6/2 = 2x/2
3 = x
Therefore, the solution to the equation is x = 3.
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Solve by completing the square 2x^2+x-4=0
Answer:
x=-1±[65]
________
8
Step-by-step explanation:
solve the equation for xby finding a,b, and come of the quadratic then applying the quadratic formula
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60cm.
How many kitchen cupboard will fit in 4.2 metres?
Enter the number only
Given:
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60 cm.
To find:
The number of kitchen cupboard that will fit in 4.2 metres.
Solution:
Let x be the number of kitchen cupboard that will fit in 4.2 metres.
Width of 1 cupboard = 60 cm
Width of x cupboards = 60x cm
We know that, 1 m = 100 cm.
Width of a kitchen = 4.2 metres
= 4.2×100 cm
= 420 cm
Now, the width of the x cupboards is equal to width of the kitchen.
\(60x=420\)
\(x=\dfrac{420}{60}\)
\(x=7\)
Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.
Cliff needs 6 meters of wood for a building project. He already has 3
meters of wood.
Approximately how many feet of wood does Cliff need? (One meter
is approximately 3.3 feet.)
1 foot
03 feet
O 6 feet
10 feet
Help plzzz
Answer:
3 meters or 9.9 feet rounded up is 10 feet because they only sell wood by the foot.
Step-by-step explanation:
6 meters - 3 meters = 3 meters
1meter = 3.3 feet
3 meters x 3.3ft = 9.9 feet
Use interval notation to answer the following questions.
The domain of this function is ?
The range of this function is ?
The required domain and the range of the given function are (-2, 3) and (2, -3) respectively.
Given that,
To determine the domain and the range of the function given in the graph.
The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.
Here,
From the graph, the domain of the function is defined for x = -2 to x = 3,
While the range of the graph for a given function is defined for y = 2 to y = -3 corresponding to the domain.
Thus, the required domain and the range of the given function are (-2, 3) and (2, -3) respectively.
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Resuelve las siguientes situaciones problemáticas: A) en una caja de 36 naranjas, si se han descompuesto, ¿qué parte del contenido de la caja se desperdicia? B) mi hermana hizo una pizza y la dividió en 8 porciones, si mi papá, mi hermano y mi tía comieron una porción cada uno, ¿qué la parte de la pizza queda?
Answer:
gdjlicnoirfbmlyrsrloydfbm
Tenemos dos problemas de proporciones.
Las soluciones son:
A) p = 6/36 = 1/6B) p = 5/8.A) Lamentablemente el primero está incompleto, lo reescribamos como:
"en una caja de 36 naranjas, si 6 se han descompuesto, ¿qué parte del contenido de la caja se desperdicia?"
Solo para mostrar la matemática que se necesita para este tipo de problemas.
La parte que del contenido de la caja que se desperdicia será igual al cociente entre el número de naranjas que se desperdician y el número total de naranjas, o sea:
p = 6/36 = 1/6
Se desperdicia 1/6 del contenido de la caja.
B) Sabemos que la pizza originalmente tiene 8 porciones.
Luego tu papá, hermano, y tía comen una porción (3 en total)
Entonces quedan: 8 - 3 = 5 porciones.
La parte que queda será el cociente entre lo que queda y la cantidad inicial, o sea:
p = 5/8.
Quedan 5/8 de la pizza.
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WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!
What scale factor was applied to the first rectangle to get the resulting image?
Enter your answer as a decimal in the box.
Answer:
2.5
Step-by-step explanation:
the length has increased by 7.5/3 = 2.5.
so the scale factor is 2.5
Select all the correct locations on the table.
Classify each situation as an exponential growth, exponential decay, or linear relationship.
A catering company purchased a delivery van
for $25,000. After 2 years, the value of the van
was $17,500. After 4 years, the value of the van
was $12,250.
At the beginning of the day, a laptop had 100%
battery life. After 3 hours, the laptop had 60%
battery life. After 6 hours, it had 20% battery life.
A tiger reserve had an initial population of
20 tigers. After 5 years, the population was
30 tigers. After 10 years, the population was
45 tigers.
exponential growth
exponential decay
linear
The required answer choices are (i)exponential decay (ii) linear and (iii) exponential growth
What are exponential growth and exponential decay?
Quantities that fluctuate quickly are subject to exponential growth and decay. The idea of geometric progression has been used to infer exponential growth and decay. Exponential growth or exponential decay are terms used to describe quantities that vary exponentially rather than continuously.
From question,
1) The first question is like, initially delivery van price is $25,000 after 2 years, the value of the van becomes $17,500
This means it is decaying. The difference between the initial price and after 2 years price is $7500.
To be linear, further after 2 years, or from start after 6 years, the price should be $10000. But it is given to be $12250.
Thus exponential decay.
2) In the second, Initially, a laptop had 100% battery life. After 3 hours, the laptop has 60% battery life. Thus the loss in 3 hours is (100 - 60) = 40%.
After 4 hours, the loss is (60 -20) = 40%
As the loss is the same in equal intervals of time, the decay is linear.
3) In the third one, A tiger reserve had an initial population of 20 tigers.
After 5 years the population was 30 tigers, thus the growth is (30-20) =10.
After 10 years, the population was 45 tigers. Thus the growth is (45-30) = 15.
Thus the increase is non-linear, and so is exponential growth.
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If a wheelchair access ramp has to have an angle of elevation no more than 4.8 degrees and it has to rise 18 inches above the ground, how long must the ramp be?
The wheelchair access ramp must be 216.09 inches long.
To find the length of the wheelchair access ramp, we can use trigonometry.
The tangent function relates the angle of elevation to the ratio of the opposite side (height) to the adjacent side (length of the ramp).
Let's denote the length of the ramp as "x".
The height of the ramp is given as 18 inches.
Using the tangent function:
tan(angle of elevation) = height/length of the ramp
tan(4.8 degrees) = 18/x
To solve for x, we can rearrange the equation:
x = 18 / tan(4.8 degrees)
Using a calculator to evaluate the tangent of 4.8 degrees:
x = 18 / 0.08331
x= 216.09
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5 (3y-4) and 15y -20 equivalent or not equivalent
Answer:
The answer and step by step explanation is in the picture below. Thank you! :)
Step-by-step explanation:
Julio tiene 12 años de edad y su padre tiene 42 años. ¿Cuántos años tendrá Julio cuando su padre tenga el doble de su edad?
Julio will be 30 years old when his father is twice his age.
To determine the age at which Julio will be twice his father's age, we need to find the age difference between them and then add that difference to Julio's current age.
Currently, Julio is 12 years old, and his father is 42 years old. The age difference between them is 42 - 12 = 30 years.
For Julio to be twice his father's age, the age difference needs to remain the same as it is currently. Therefore, when Julio is x years old, his father will be x + 30 years old.
Setting up an equation to solve for x:
x + 30 = 2x
Simplifying the equation, we subtract x from both sides:
30 = x
Thus, when Julio is 30 years old, his father will be 30 + 30 = 60 years old. At this point, Julio will indeed be twice his father's age.
Therefore, Julio will be 30 years old when his father is twice his age.
Note : the translated question is Julio is 12 years old and his father is 42 years old. How old will Julio be when his father is twice his age?
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True or False: The image of (2,-6) after a dilation by a scale factor of 2 centered at the origin is (4, -12) True False
Answer:
That's True.
Step-by-step explanation:
Hope this helps! If it does, please mark me brainliest. Thank you! ;)
Find the area of the figure to the nearest tenth
A. 99.0 in.
B. 31.5 in.
C. 11.0 in
D. 155.5 in.
Answer:
155.5 is the answer
Step-by-step explanation:
Answer:
The correct answer is A) \(99.0 \ in.^{2}\)
Step-by-step explanation:
Just took the test
hope this helps :)
There is a python 8.23 meters long. What is an equivalent length of this snake in meters?
I need help with everything I'm mostly confused about the points after h I'm not sure how to find them
From the graph given in the question, we are asked to determine the following observing the graph:
(a) The domain of f.
Domain of f = IR = (-infinity, infinity)
(Therefore, it is defined all reals).
(b) The range of f.
The range of f = [-1, infinity)
(c) The x-intercepts.
x = 2 and x = 4 are the x intercepts.
(d) The y-intercepts.
y = 8 is the only y-intercept.
(e) Intervals on which f is increasing.
The function is increasing on (3, infinity)
(f) Intervals on which f is decreasing.
The function f is decreasing on (0, 3)
2. Ron has 1846 marbles in his collection; he gave 547 marbles to his sister. How many marbles are left with him then?
Answer:
1299 marble
Step-by-step explanation:
subtract 547 from 1846
Check picture pls this is geometry work
Answer:
45
scalene
acute
Step-by-step explanation:
Answer: The triangle classified by the sides is 59 degrees. The triangle is classified by the angel is 1
Step-by-step explanation:
1. Find the new value after the old value of 56 is increased by 8%.
Answer:
60.48
Step-by-step explanation:
Answer:51.52
Step-by-step explanation: