The value of a = 16
The process of making something less complicated and hence easier to accomplish or understand, or the thing that arises from this process: The organization offers advice on how to simplify trade procedures. Simplification is classified into two types: You must be conversant with both sorts of simplification questions, the first of which is 'Finding the missing number.' The second type of simplification difficulty is 'the relationship between the numbers and simplifying the numbers using simplification principles.'
Given that b= 6 and c= 13
Given equation is a = 35-b-c
Now substitute b and c values in the given equation
A = 35 - 6 -13
A = 35 – 19
A = 16
Therefore the value of a = 16
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Consider the following system of two linear equations:
4y + 3x = 0
4y - x = 16
What is the point of intersection?
Answer: The two lines intersect at (-4,3)
Step-by-step explanation:
So our first step would be to turn both of these into standard slope-intercept form.
1.)
4y + 3x = 0
4y = -3x
y = -3/4x
2.)
4y - x = 16
4y = x + 16
y = 1/4x + 4
Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)
a park has used 4,500 on this month which is 45.50% of its allotted monthly budget how much is the monthly budget
=========================================================
Work Shown:
x = monthly budget
45.50% of x = 0.4550x = 4500
0.4550x = 4500
x = 4500/0.4550
x = 9,890.1098901099 approximately
x = 9,890.11
Determine whether the relation represents y as a function of x.
y = x^2
The relation y = x² represents y as a function of x because every x-value returns a unique y-value.
Is the relation a function?Using the definition of a function, y=x² is a function because you will only get one unique y-value for each x-value in your domain.
The vertical line test is a quick check you can perform. The function y=x² is a parabola, and if you draw vertical lines anywhere on it, they will only cross the parabola once.
As a result, it is a function. A circle is not an example of a function because a vertical line drawn on a circle crosses at two different points.
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Question 2(Multiple Choice Worth 1 points)
(03.01 MC)
Simplity √10•√8•
O√18
04√5
O√80
08√10
The simplified form of the expression √10•√8 is 4√5.
Expression:
Expression refers the mathematical statements that have two terms at least that contain variables, numbers, or both.
Given,
Here we have the expression √10•√8.
Now we have to find the simplified form of these expression.
Now, we have to multiply the values inside the square root then we get,
=> √10 x √8 = √(10 x 8)
After the multiplication we can get,
=> √80
Now, we have to expand this as the following,
=> √16 x 5
We know that √16 is equivalent for 4²,
So, it can be written as,
=> √4² x 5
Now, we have to simplify this as,
=> 4√5
Therefore, the simplified expression is 4√5
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Nicholas started a canned-food drive at school. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected. Explain how to determine how many days it would take to collect 2600 cans.
The number of days it would take to collect 2600 cans is; 11 days
How to change the subject of the formula?We are given the equation that represents the number of cans that Nicholas collected as; y = 235x + 15
where;
x represents the number of days.
y represents the number of cans collected.
Now, we want to make x the subject of the formula;
y = 235x + 15
Subtract 15 from both sides to get;
y - 15 = 235x
divide through by 235 to get;
(y - 15)/235 = x
When y = 2600;
x = (2600 - 15)/235
x = 11 days
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Use the digits -9 to 9 (each only once) to create a real solution between 30 and 80
(a+bi)(c+di)
According to the imaginary number, the real solution between 30 and 80 is 60
Imaginary number
An imaginary number refers a real number multiplied by the imaginary unit i, which is defined by its property i² = −1.
Given,
Here we have to use the digits -9 to 9 (each only once) to create a real solution between 30 and 80 (a+bi)(c+di).
We know that the digits from -9 to 9 are listed as follows:
(-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9)
Now, we have to choose the digits -9 to 9, as the value of a, b, c and d,
For that we have to choose the value of a = 3, b = -9, c = 2 and d = 6,
Now, we have to apply these value on the given imaginary equation, then we get,
(a + bi) (c + di) = (3 + -9i) (2 + 6i)
When we simplify this one then we get,
=> 6 + 18i + (-18i) – 54i²
We know that value of i² = -1, then the equation is written as,
=> 6 - 54(-1)
=> 6 + 54
=> 60
Therefore, 60 is a real solution between 30 and 80.
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Please help! What is the equation of the line?
y=-3x
y=3x
y=3x+1
y=4x
Answer: y=3x
Step-by-step explanation:
The equation can be found by finding the slope of the given line. Visually, this can be found by counting the distance between two points. From (1,3) and (2,6), the line "rises" 3 units and "runs" 1 unit to the right. Since slope is calculated as rise over run, this gives us 3/1, or just 3 for slope. In slope-intercept form, this becomes y=3x.
Just to note, we know it is not negative because of the direction of the slope. Visually, if the slope "moves" in the direction of upwards and to the left, it will be positive. This can be calculated more accurately using the slope formula (y2-y1/x2-x1)
Can anybody help me with this question?
Answer:
x=3
Step-by-step explanation:
any horizontal line is equal to x
the y is equal to 0
a horizontal line is undefined
GENETICS AND HEREDITY
CHECKPOINT
Using a standard 52-card
deck, what is the probability
of being dealt an ace and then another ace?
The probability of being dealt an ace=4/52
The probability of being dealt another ace = 3/51
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.
The probability of drawing one of the four aces from a typical 52-card deck is 4/52; but, the probability of drawing a second ace is merely 3/51 since, after the first ace was drawn, there were only three more aces remaining in the remaining 51 cards.
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Find the area of the shaded region in the figure below, if the radius of the outer circle is 12 and the radius of the inner circle is 2. Keep your answer in terms of π.
A number, n, is added to 15 less than 3 times itself. The result is 101. Which equation can be used to find the value
of n?
O 3n-15+n= 101
O 3n+15+ n = 101
O 3n-15-n=101
O 3n+15-n=101
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The correct expression will be;
⇒ 3n - 15 - n = 101
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is;
''A number, n, is added to 15 less than 3 times itself. The result is 101.''
Now,
Since, The algebraic expression is;
''A number, n, is added to 15 less than 3 times itself. The result is 101.''
So, We can formulate;
⇒ 3n - (15 + n) = 101
⇒ 3n - 15 - n = 101
Thus, The correct expression will be;
⇒ 3n - 15 - n = 101
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Which set of side lengths will NOT create a triangle? Responses 3, 4, 5 3,, , 4,, , 5, EndFragment, 10, 13, 14 10, 13, 14, EndFragment, 10, 20, 30 10, 20, 30, 16, 20, 30
The set of side lengths that would not create a triangle is; 10, 20, 30.
Which set of side lengths will not create a triangle?It follows from the task content that the set of side lengths which will not create a triangle are to be determined from the given task content.
Since the triangle inequality theorem states that; the sum of two side lengths of a triangle is always greater than the third side length and also, the difference of two side lengths of a triangle is less than the third side length.
On this note, for a triangle with side-lengths a, b and c; the inequalities which hold are;
a + b > c and a - b < c.
Therefore, the set of side-lengths which will not create a triangle is; 10, 20, 30.
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Divide:
3⁄5 ÷ 1⁄5 =
. .
Answer: 3/1
Step-by-step explanation:3 ÷ 1 =1÷3 =3
5 5 = 5÷5=1
therefore, 3 by five divided by 1 by five is equal to 3 by 1 ,
Consider a home mortgage of $125,000 at a fixed APR of 4.5% for 15 years. a. Calculate the monthly payment. b. Determine the total amount paid over the term of the loan. c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.
Monthly payment would be $956.24
Loan APR is 4.892%
Ming was planning a trip to Western Samoa Before going, She did some research and learned that the exchange rate is 6 Tala for $2. How many tala would get if she exchanged $6
If she did some research and learned that the exchange rate is 6 Tala for $2. The number of tala she get if she exchanged $6 is 18 tala.
How to find the number of tala?Given data:
Exchange rate = 6 Tala for $2
Let x represent the tala Ming will get if she exchange $6
$2/6 = $6/X
Cross multiply
2x = 6× $6
2x = 36
Divide both side by 2x
x = 36/2
x = 18 tala
Therefore she would get 18 tala.
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what is the value of 36x - 8y² when x = 3 and y = -6
can you add the explanation?
Answer:
-180
Step-by-step explanation:
You would plug in x=3 and y=-6 into the equation
So, the first part would be 36x when x=3, 36(3)=108
The second part would ne -8y^2 when y=-6 (-6 squared is 36), -8(36)=-288
Putting these together, you get 108-288 which is -180
Answer: -180
hops this helps
have a good day
Step-by-step explanation:
In a garden club, 90% is ladies. The number of ladies is 12 more than 3 times the number of gentlemen.
How many ladies and how many gentlemen are in the club?
(Note: set up a rational equation and solve)
The numbers of ladies and gentlemen in the club are 2 and 18 respectively.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100
Given that, there are 90% of ladies in the club, and the number of ladies is 12 more than 3 times the number of gentlemen.
Let the number of gentlemen is x and the number of ladies be y.
Since the number of ladies is 12 more than 3 times the number of gentlemen, it follows:
Calculationy = 12 + 3x (1)
Now, the total number of members in the club is:
x + y
Since there are 90% ladies in the club, it follows:
90%(x + y) = y
90(x + y)/100 = y
90x + 90y = 100y
90x = 100y - 90y
90x = 10y
9x = y (2)
Now, substitute y = 9x into equation (1):
9x = 12 + 3x
9x -3x = 12
6x = 12
x = 2
Substitute x = 2 into equation (2):
9(2) = y
18 = y
Hence, the numbers of ladies and gentlemen in the club are 2 and 18 respectively.
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A rare coin increases in value according to the function f(x)=100(1.07)x
f(x)=100(1.07)x where x represents the amount of years that the coin is owned and value is measured in US dollars. What is the value of the coin after 5 years?
The value of the coin after five years is 535 when the value increases with the function f(x) = 100(1.07)x
The value of a rare coin rises in accordance with the function f(x)
f(x) = 100(1.07)x
where x represents the number of years that the coin is owned and value is measured in US dollars
Now, Simplifying the given function, we have :
f(x) = 100(1.07)x
f(x) = 107x
Now, we need to find the value of the coin after five years, then
Putting x = 5 in the function,
f(x) = 107 * 5 = 535
Hence, the value of the coin after five years is 535 when the value increases with the function f(x) = 100(1.07)x
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The third term of the sequence is 165. Find the first term
Term to term rule is subtract 2 and then multiply by 3
The value of the first term in the sequence is 21.
How to calculate the first term?Let the second term teen be x.
Since the term to term rule is subtract 2 and then multiply by 3. This will be:
(x - 2) × 3 = 165
3(x - 2) = 165
3x - 6 = 165
Collect like terms
3x = 165 + 6
3x = 171
Divide
x = 171 / 3.
x = 57
Second term = 57
We will do same thing again to get first term. Let first term be a.
(a - 2) × 3 = 57
3a - 6 = 57
Collect like terms
3a = 57 + 6
3a = 63
Divide
a = 63/3
a = 21
The first term is 21.
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The students at Britney's school voted for a new school color. 20% of the students voted for green. If there are 585 students in Britney's school, how many students voted for green?
Answer:
117
Step-by-step explanation:
20% = 1/5
585 x 1/5 = 117!
A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work.
Part A: Rearrange the distance formula, d = rt, to solve for rate.
Part B: Find the falcon's rate in meters per hour.
Part C: Find the falcon's rate in kilometers per hour.
Part D: Which unit, meters, or kilometers, makes more sense to use in this scenario, and why?
PLEASE HELP FAST I RLLY NEED THIS
The information about the Falcon fly is represented below
Part A: 800 000 = 4r
part B: 200 000 meters per hour
Part C: 200 kilometer per hour
Part D: Kilometers makes more sense because it makes the number easier to write and remember
How to find the falcon's rate in meters per hourThe rate as used refers to speed which is distance / time
using the representation 800 000 = 4r
rate, r = 800 000 / 4
r = 200 000 meters per hour
converting meter to kilometer is achieved by dividing by 1000
r = 200 000 meters per hour / 1000
r = 200 kilometers per hour
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Which question can be represented by the equation ? × 1/8 = 3
A) how many 3s are in 1/8?
B) what is 3 groups of 1/8?
C) how many 1/8s are in 3?
D) what is 1/8 of 3?
The question that can be represented by the equation ? × 1/8 = 3 is C. how many 1/8s are in 3?
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, the question is how many 1/8s are in 3. This will be:
= 3 ÷ 1/8
= 3 × 8
= 24
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I need help with this please and thank you
Answer:
length 12width 7Step-by-step explanation:
Adding 5 m to the width of a rectangle makes it a square with area 144 m². You want the length and width of the original rectangle.
AreaThe formula for the area of a square is ...
A = s²
The side length of the square formed from the rectangle is ...
144 = s²
√144 = s = 12 . . . . . meters
RectangleThe length of the rectangle is unchanged when it is made into the square, so the length is 12 m.
The width of the rectangle had 5 m added to make it 12 m, so the width of the rectangle is 7 m.
__
Additional comment
The given relation between length and width is given as L = 2W -2. It is true that 12 = 2(7) -2, but that is not needed in order to solve this problem. It does serve as a check on our answer.
A football player makes an annual salary of 2,100,000.
A charitable organization states that for $120 it can send 1 child to school in a developing country for 1 year. The football player decides to donate 10% of his annual salary to this organization.
Calculating it would be 210,000
About how many children could his donation send to school for 1 year?
For a year, 1750 students were able to donate to the school.
What is meant by percentage?A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it by % lacks dimensions and has no associated unit of measurement.
The Latin word per centum, which means "hundred" or "by the hundred," is where the word "percent" originates. The % calculator computes a variety of percentage-based numbers, such as the percentage difference between two provided values.
Given,
The annual salary of a football player is 210000
1 student ----------$120
x ------------$210000$
x=(210000/120)
x=1750 students
1750 students could send their donation to the school for 1 year.
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Write a number to represent the coldest temperature.
Answer: -15 degrees
Step-by-step explanation:
HOW TO DETERMINE THE ANSWER?
Answer:
The degree of the polynomial is 4. That is the highest exponent.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
to find degree you look at what the highest exponent when simplified is and that is your answer and inThis case it’s 4
Hopes this helps please mark brainliest
Antoinette solves the linear equation 3 (x minus 3) + 2 x + 9 = 2 x + 2 (x minus 1) using the steps shown below.
Step 1: 3 x minus 3 + 2 x + 9 = 2 x + 2 (x minus 1)
Step 2: 5 x + 6 = 4 x minus 1
Step 3: 5 x minus 4 x = negative 1 minus 6
Step 4: x = negative 7
She checks her solution by substituting –7 for x in the original equation. She determines that her answer is incorrect. Which best describes Antoinette’s error?
She distributed incorrectly.
She incorrectly combined like terms.
She incorrectly applied the addition and subtraction properties of equality.
She incorrectly applied the multiplication and division properties of equality.
Answer:
She distributed incorrectly.
Step-by-step explanation:
In the first step, [tex]3(x-3)=3x-9[/tex], not [tex]3x-3[/tex].
a) What are the coordinates of A?
b) What are the coordinates of B?
Answer:
Coordinates of A are (-2.5, -1.5)
Coordinates of B are (4.5, -3.5)
The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.
R(x) = 12x
C(x) = x + 264
The profit function for the revenue R(x) = 12x and the cost, C(x) = x + 264 is 11x-264 and units must be produced for the business to break even is 24 units.
What is revenue profit?Profit refers to net income after deducting expenses from earnings, whereas revenue refers to income generated through business operations. Sales, fee-based income, and property-based income are just a few of the different ways that money can come in.
Here,
R(x)=12x
C(x)=x+264
It represents the difference between total revenues and total outlays.
Revenue minus costs equals profit.
Profit = Revenue - Cost
P(x)=R(x)-C(x)
P(x)=12x-x-264
P(x)=11x-264
For the company to break even,
R(x) = C(x)
12x=x+264
11x=264
x=24
The break-even point for the business is 24 units, and the profit function for the revenue R(x) = 12x and the cost C(x) = x + 264 is 11x-264.
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3. A pool has 25 inches of water in it when it begins to rain. The rain falls at 4 inches per hour
Write an equation for the height of the water h as a function of the hours rained, t
A) h = 4t - 25
B) h = 25t + 4
C) h = 4t + 25
D) h = 25t + 4
Answer:
The Answer is C.
Step-by-step explanation:
It's important to know how the standard form of an equation works.
Remember that y = mx + b, where y is the output value, m is the slope of the equation, and b is the y-intercept (the initial value) of the equation. We know that the pool starts with 25 inches of water in it, so the initial value, or y-intercept is 25, because the pool starts with 25 inches of water after 0 hours. We know that the pool fills up 4 inches per hour, meaning as each hour progresses, the equation will increase by 4. This is the slope. y has been replaced with h in this equation. So, your answer would be h = 4t + 25.