Find the area of the shape shown below.
12
5
5
units
Answer:
42.5 units²
Explenation:
The area of the square on the left is 5×5=25.
At the top you do 12-5=7 to find the length of the tringle.
Than it is 7×5=35 than this divided by two, so 17.5.
You add both areas 25+17.5=42.5
Answer:
42.5 square units
Step-by-step explanation:
Separate shape into a square and a triangle
Calculate the area of the square (5*5=25 square units)
Calculate the are of the triangle (7*5/2=35/2= 17.5 square units)
Add together (17.5+25=42.5 square units)
Compared to last month, there was a 50% increase in the number of houses sold this month. What percentage of houses were sold this month compared to last month? Example: Question: This year, there was 40% more snow than last year. Answer: The amount of snow this year is 140% of the amount of snow last year. a The amount of houses sold this month is 50% of the amount of houses sold last month. b The amount of houses sold this month is 200% of the amount of houses sold last month. c The amount of houses sold this month is 150% of the amount of houses sold last month. d The amount of houses sold this month is 100% of the amount of houses sold last month.
The correct answer is option c: The amount of houses sold this month is 150% of the amount of houses sold last month.
The amount of houses sold this month is 150% of the amount of houses sold last month.
To calculate the percentage of houses sold this month compared to last month, we need to determine the relative increase or decrease in the number of houses sold.
Given that there was a 50% increase in the number of houses sold this month compared to last month, it means that the number of houses sold this month is 150% of the number of houses sold last month.
For example, if last month there were 100 houses sold, a 50% increase would mean an additional 50 houses sold, resulting in a total of 150 houses sold this month (100 + 50).
Therefore, the amount of houses sold this month is 150% of the amount of houses sold last month.
So, the correct answer is option c: The amount of houses sold this month is 150% of the amount of houses sold last month.
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Monica weighed 135 pounds before she started a 3 week diet for her cruise. She lost 18 pounds in the first 2 weeks then gained 5 pounds back the last week. Choose the answer below that correctly identifies how much Monica weighed when she left for her cruise.
A.
112 pounds
B.
104 pounds
C.
140 pounds
D.
122 pounds
Answer:
D.
Step-by-step explanation:
135 - 18 = 117 + 5 = 122
Answer:
D. 122 pounds
Step-by-step explanation:
135-18=117
117+5=122
Cual es la relación entre la multiplicación y factorizacion
Factoring a polynomial is expressing the polynomial as a product of two or more factors; it is somewhat the reverse process of multiplying.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given the relationship between multiplication and factoring
Factoring a polynomial is expressing the polynomial as a product of two or more factors; it is somewhat the reverse process of multiplying. Factoring is the process of taking what was once a product and breaking it into the original pieces (called factors) that multiply together to get that product.Therefore, Factoring a polynomial is expressing the polynomial as a product of two or more factors; it is somewhat the reverse process of multiplying.
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{Question in english -
What is the relationship between multiplication and factoring?}
a ship leaves port at noon and has a bearing of the ship sails at 20 knots. how many nautical miles south and how many nautical miles west will the ship have traveled by 6:00 p.m.?
On solving the provided question we can say that the equation gives us 101.77 mi S; 63.59 mi W and S 39.4° W; 131.7 nautical miles
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence.
The ship will have traveled 120 nautical miles in the six hours between noon and six o'clock using the formula distance = speed time distance (20 nm/h) (6 h).
The location of the ship will be in (S, W) coordinates.
\(120(cos(32), sin(32)) ≈ 120(0.848048, 0.529919) ≈ (101.77, 63.59)\)
The ship will have traveled 101.77 miles south and 63.59 miles west.
83.59). The distance from port will be ...
\(d = √(101.77^2 +83.59^2) = 131.7\\ arctan(83.59/101.77) ≈ 39.4\)
The bearing and distance are ...
S 39.4° W
131.7 nautical miles
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I'm horrible at this so can I please get help, the rest says "solve for a. a=
\(a = \sqrt{?} \)
Answer:
a = \(\sqrt{63}\)
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
a² + 9² = 12²
a² + 81 = 144 ( subtract 81 from both sides )
a² = 63 ( take square root of both sides )
a = \(\sqrt{63}\)
Find the total price, including tax of a $15.99 hat with 6% tax
Show Work!
The total price of the hat including the tax is $ 16.9494 .
How to calculate percentage and how is it determined?
A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it. No dimension exists for percentages. Thus, it is referred to as a dimensionless number. The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.
Mathematically, Percentage formula = (Value/Total value) × 100
Given, cost price of hat (total value) = $ 15.99
Percentage tax imposed on the hat = 6%
Now, using the formula established in the literature above, we have:
Percentage = (Value/Total Value)×100
⇒ Value = (Percentage × Total Value)/100 = (6×15.99)/100 = $ 0.9594
Therefore, the total price of hat = Cost Price + Value = $ (15.99 + 0.9594) = $ 16.9494
Thus, the total price of the hat including the tax is $ 16.9494 .
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A new car has a sticker price of $25750, while the invoice price paid on it was 21950, what is the percentage?
Answer:
24750/21950 = 1.12756 or 112.756% of the original price. 12.76% is the correct answer.
Step-by-step explanation:
Answer:
24750 ÷ 21950 = 17.31% as the original price
Step-by-step explanation:
Simplify the following expressions (please help I know it's a lot)
Answer:
1. C
2. A
3. C
4. C
5. I think it’s A bit I’m not sure
6. I’m sorry I don’t understand the handwriting can’t tell if that’s a fraction or an exponent
7. C
8. D
9. C
Hope this helps :)
Step-by-step explanation:
Quinn is a budding fashion designer known for incorporating geometry into her creations. Her newest design is a simple black blouse patterned with same-size right triangles in different funky colors. The longer leg of each right triangle will be twice as long as the shorter leg, and the hypotenuse of each triangle will be 6 inches long. To the nearest tenth of an inch, what will be the length of the shorter leg of each triangle?
To the nearest tenth of an inch, the length of the shorter leg of each right triangle will be 2.7 inches.
What is the triangle?A triangle is a polygon with three sides and three angles. The sum of the three angles in a triangle always adds up to 180 degrees. There are many different types of triangles, including equilateral triangles (where all three sides are equal in length and all three angles are 60 degrees), isosceles triangles (where two sides are equal in length and two angles are equal in measure), and scalene triangles (where no sides are equal in length and no angles are equal in measure).
According to the given informationLet x be the length of the shorter leg of each right triangle. Then, the longer leg will be twice as long, so its length will be 2x. Using the Pythagorean theorem, we can write:
x² + (2x)² = 6²
Simplifying and solving for x, we get:
x² + 4x² = 36
5x² = 36
x² = 7.2
x ≈ 2.7
Therefore, to the nearest tenth of an inch, the length of the shorter leg of each right triangle will be 2.7 inches.
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please help this is the last question
Answer:
The median is the same for both car types, but Bandit have lower mean.
Step-by-step explanation:
How do you solve 5∙6^3m=20?
Awnser :
М = 0.2579
Explanation:
Answer:
М = 0.2579
Step-by-step explanation:
Convert 7 6/7 into an improper fraction.
Answer:
55/7Explanation:
Step 1
Multiply the denominator by the whole number
7 × 7 = 49
Step 2
Add the answer from Step 1 to the numerator
49 + 6 = 55
Step 3
Write answer from Step 2 over the denominator
Answer = 55/7
I hope you are enjoying your day and that this helps you out! Brainliest would be appreciated :)Answer:
55/7
Step-by-step explanation:
To convert 7 6/7 to an improper fraction
Start by multiplying the whole number with the denominator 7 x 7 = 49Then add the numerator to the number you get 49 + 6 = 55 The 55 will be your numerator for your improper fraction. 55/7 The denominator will remain the sameA population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is ___. a. 0.450 b. 0.9505 c. 0.0495 d. 0
The probability that the sample mean will be greater than 57.95 is 0.0495.
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.
To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.
Normal probability distributionProblems of normally distributed samples can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z=\dfrac{X-\mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit TheoremThe Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).
In this problem, we have that:
\(\mu=53,\sigma=21,\text{n}=49,\text{s}=\frac{21}{\sqrt{49} }=3\)The probability that the sample mean will be greater than 57.95
This is 1 subtracted by the p-value of Z when X = 57.95. So
\(Z=\dfrac{X-\mu}{\sigma}\)
By the Central Limit Theorem
\(Z=\dfrac{X-\mu}{\text{s}}\)
\(Z=\dfrac{57.95-53}{3}\)
\(Z=1.65\)
\(Z=1.65\) has a p-value of 0.9505.
Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495
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Jeremy has 2 less than 3 times the number of scarves, x, Dawnie has.
Which expression represents the total number of scarves Jeremy has?
2x−3
3x−2
2−3x
3−2x
If right i will give brainly
Answer:
2-3x
Step-by-step explanation:
jeremy has 2
scarves has X
Dawniehas 3time that of scarves
Pls Help
40 points pls help me
Answer:
(2x^3)^2 = 4x^6
(4x^2)^-4 = 1/(4x^2)^4 = 1/256x^8
Step-by-step explanation:
You play a game of chance that you can either win or lose (there are no other possibilities) until you lose. Your probability of losing is p=0.67. What is the probability that it a. takes 4 games until you lose. b. takes 7 games until you lose. c. Find the mean c. Find the standard deviation.
The probability of taking exactly 4 games until losing is approximately 0.0489, the probability of taking exactly 7 games until losing is approximately 0.0111, the mean is approximately 1.4925, and the standard deviation is approximately 1.3647.
To calculate the probabilities and statistics for the game, where the probability of losing is p = 0.67, we can model it using a geometric distribution.
a. The probability that it takes exactly 4 games until you lose is given by:
P(X = 4) = (1 - p)^(4-1) * p = (0.33)^3 * 0.67 ≈ 0.0489 (rounded to four decimal places).
b. The probability that it takes exactly 7 games until you lose is given by:
P(X = 7) = (1 - p)^(7-1) * p = (0.33)^6 * 0.67 ≈ 0.0111 (rounded to four decimal places).
c. The mean of the geometric distribution is given by:
μ = 1 / p = 1 / 0.67 ≈ 1.4925 (rounded to four decimal places).
d. The standard deviation of the geometric distribution is given by:
σ = sqrt((1 - p) / p^2) = sqrt(0.33 / 0.67^2) ≈ 1.3647 (rounded to four decimal places).
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given directed line segment ab find the coordinates of p such thats the ratio of ap to pd is 2:1
Answer:
The point P on line AB such that the ratio of AP to PB is 2:1 is P = (0, 3)
Step-by-step explanation:
The dimension of the graph can be taken as 1 box = 1 unit
Therefore;
The coordinates of the point A = (-2, -7)
The coordinates of the point B = (1, 8)
For the a point P that gives the ratio AP to PB = 2:1 is given as follows;
The fraction of AP to AB = 2/(2 + 1)×AB = 2/3 × AB
Which gives;
The coordinate of the point P = (-2 + 2/3×(1 - (-2)), -7 + 2/3×(8 - (-7)))
P = (0, 3)
Therefore;
The coordinates of P such that the ratio of AP to PB is 2:1 is P = (0, 3).
Josie has 16 coins. Each of her coins is either a quarter or a dime. If she has 6 more dimes than quarters, and the total value is $2.35, how many quarters does Josie have?
Josie has a total of 5 quarters.
How to find the number of quarters using equation?Josie has 16 coins. Each of her coins is either a quarter or a dime.
Let
x = number of quarters
y = number of dime
she has 6 more dimes than quarters.
Therefore,
y = 6 + x
x + y = 16
-x + y = 6
2y = 22
y = 11
11 = 6 + x
x = 11 - 6
x = 5
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can you please help me I am not the the maps test please hurry i will give brainliest
Answer:
0
Step-by-step explanation:
there is no 8 on the spinner so the probability of hitting an 8 is 0
act scores are normally distributed and from 2015 to 2017, the mean was 20.9 with a standard deviation of 5.6. to get accepted into u of m, you need at least a 31. what is the z-score you need to get accepted? enter your answer rounded to the nearest hundredth. question 3 options:
To find the z-score needed to get accepted into the University of Michigan (U of M) with an ACT score of at least 31, we can use the mean and standard deviation of the ACT scores distribution from 2015 to 2017.
The mean is 20.9, and the standard deviation is 5.6.
The z-score measures how many standard deviations an individual's ACT score is above or below the mean. We can calculate the z-score using the formula: z = (x - μ) / σ, where x is the ACT score, μ is the mean, and σ is the standard deviation.
For the desired ACT score of 31, we can calculate the z-score as follows:
z = (31 - 20.9) / 5.6 ≈ 1.82
Therefore, the z-score needed to get accepted into U of M with an ACT score of at least 31 is approximately 1.82, rounded to the nearest hundredth.
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what is the equation of this line in standard form? responses 6x−11y=−13 6 x minus 11 y equals negative 13 11x−6y=13 11 x minus 6 y equals 13 6x−11y=13 6 x minus 11 y equals 13 6x−7y=17
6x - 11y = - 13 is the the equation of this line in standard form that is option A from the group of choices.
What is equation?In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign. Linear equations are classified into three types: point-slope, standard, and slope-intercept. Coefficients, variables, operators, constants, terms, expressions, and an equal to sign are all components of an equation. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other.
Here,
6x - 11y = - 13 is the the equation of this line in standard form that is option A from the set of possibilities.
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What is the length of the missing leg?
Answer:
28
Step-by-step explanation:
it just is lol k
12345678]
Answer:
A=28
Step-by-step explanation:
A^2+21^2=35^2
A^2+441=1225
A^2=784
A=28
find the product of 8(4/7-/18)
Answer:
keep it simple C
Step-by-step explanation:
4y +3x = 5 for x
Last problem help me pls
SOLVING
=================================================================
First subtract both sides by 4y
3x=5-4y
Next divide both sides by 3
\(x=\frac{5-4y}{3}\)
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==============================================================
Answer:
\(\sf \: x = \frac{(5 - 4y)}{3} \\ \)
Step-by-step explanation:
\( \sf4y + 3x = 5\)
First, subtract 4y from both sides.
\( \sf4y - 4y + 3x = 5 - 4y \\ \sf3x = 5 - 4y \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)
Divide both sides by 3.
\( \sf \frac{3x}{3} = \frac{(5 - 4y)}{3} \\ \sf \: x = \frac{(5 - 4y)}{3} \)
create an inequality to describe the possible values for the total area A in square feet of your green section
The inequality to describe the possible values for the total area A in square feet is A ≤ 48.67.
We have,
Area of a triangle.
A = 1/2 x base x height
A = 1/2 x 6.2 x 15.7
A = 48.67 feet²
Now,
To write as an inequality,
To describe the possible values for the total area A in square feet.
A ≤ 48.67
Thus,
The inequality to describe the possible values for the total area A in square feet is A ≤ 48.67 .
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y varies inversely as x; x = 3 when y=-2. What is the constant?
Answer:
I think the answer is 2 and three
Collins Middle School has 228 sixth grade students. If the sixth grade is 30% of the total school, how many students are in the middle school?
Answer:
760 students
Step-by-step explanation:
divide 228 ÷ 30%
30% = 0.30
228 ÷ 0.30 = 760
The formula for the volume of a cylinder is V=pi * r^2 * h.
Solve the formula for r
Answer:
Step-by-step explanation:
Remark
What you want to do is get r on one side of the equal sign and everything else on the other.
Givens
V = pi r^2 h
Solution
Divide by pi
V/pi = pi r^2 h/pi
V/p = r^2 * h
Divide by h
V / h pi = r^2 h / h Cancel h on the right side. Turn equation around
r^2 = V / h pi
Take the square root of both sides
√r^2 = √(V / h pi )
r = √ (V / h pi)
Answer r =√ (V / h pi)
solve for x. represent your answer on a number line. -2x + 4 < 8 or 3x + 4 < or equal to -5
To solve the inequalities -2x + 4 < 8 and 3x + 4 ≤ -5, we will solve them individually and then represent the solutions on a number line.
For the first inequality, -2x + 4 < 8, we will isolate x:
-2x + 4 - 4 < 8 - 4
-2x < 4
Dividing both sides by -2 (remembering to reverse the inequality when multiplying/dividing by a negative number):
x > -2
For the second inequality, 3x + 4 ≤ -5, we isolate x:
3x + 4 - 4 ≤ -5 - 4
3x ≤ -9
Dividing both sides by 3:
x ≤ -3
Now we represent the solutions on a number line. We mark -2 with an open circle (since x > -2), and -3 with a closed circle (since x can be equal to -3). Then we shade the region to the right of -2 and include -3 to represent the solutions.
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