No, it is impossible to construct a triangle PQR such that QR=3 cm, PQ=6 cm, PR=3 cm as the dimensions defy the triangle inequality theorem.
What is the triangle inequality theorem?It follows from the triangle inequality theorem that the sum of any two side lengths of a triangle must be greater than the third side length and also, the difference of two side lengths of a triangle must be less than the third side lengths.
However, in this case, since QR + PR = PQ, it can be inferred that the two side lengths cannot possibly be used to construct a triangle.
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triangle ABC has side lengths 42, 21, and 35 units. The shortest side of a triangle similar to
triangle ABC is 9 units long. Find the other lengths of the triangle.
Answer:
Step-by-step explanation:
Using the ratio of corresponding side lengths, we have:
x/42 = 9/35
y/21 = 9/35
z/35 = 9/35
Solving for x, y, and z:
x = (9/35) * 42 = 14
y = (9/35) * 21 = 7
z = 9
So the other two sides of the smaller triangle are 14 and 7 units.
13) A theater has 38 rows of seats. The first row has 25 seats, the second
row has 29 seats, the third row has 33 seats, and so on.
What is the total number of seats in the theater?
O3,762
O3,838
O 7,524
O 7,676
Answer:
Step-by-step explanation:
To find the total number of seats in the theater, we can use the formula for the sum of an arithmetic series, which is given by:
S = n/2 * (a_1 + a_n)
where n is the number of terms in the series, a_1 is the first term, and a_n is the last term.
In this case, the first term is 25 seats and the last term is 25 + (38-1) * 4 seats (since the number of seats in each row increases by 4 each time). So, we have:
n = 38 (the number of rows)
a_1 = 25
a_n = 25 + (38-1) * 4 = 25 + 37 * 4 = 25 + 148 = 173
Now, we can substitute these values into the formula:
S = n/2 * (a_1 + a_n) = 38/2 * (25 + 173) = 19 * 198 = 3,762
So, the total number of seats in the theater is 3,762, which corresponds to option O3,762.
Unions, intersections, and complements involving 2 sets
Part A:
[tex]B\cap D[/tex] is asking for what the sets B and D have in common:
[tex]B\cap D = \{4\}[/tex]
since B and D only have 4 in common.
Now [tex](B \cap D)'[/tex] is asking for all of the things in the universal set [tex]U[/tex] that are not in [tex]B\cap D[/tex]. That's what the little tick mark on the right side means.
[tex](B \cap D)' = \{2, 3, 6, 7\}[/tex]
Part B:
[tex]B' = \{2, 3, 7\}[/tex] since those are the things not in B.
[tex]D=\{3, 4\}[/tex]
[tex]B'\cup D[/tex] is asking for all the things in either [tex]B'[/tex] or [tex]D[/tex].
[tex]B'\cup D = \{2, 3, 4, 7\}[/tex]
(We don't need to list 3 twice, even though it was in both sets. )
A population mean is normally distributed with a mean of 56 and a standard deviation of 12.
The mean of the sampling distribution (p) and The standard error of the mean (o) are 56 and 2 respectively.
What is normal distribution?A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
According to question:(a) The mean of the sampling distribution (p) is equal to the population mean, which is 56.
(b) The standard error of the mean (o) is calculated as the standard deviation of the population divided by the square root of the sample size. So for a sample of 36 participants:
o = 12 / √36 = 2
(c) The distribution of the sample means (p) will be approximately normal with a mean of 56 and a standard deviation of 2. To sketch this distribution with M ± 3 SEM, we would plot a normal distribution with mean 56 and standard deviation 2, and shade the region that is 3 standard errors away from the mean on either side.
This region would capture approximately 99.7% of the data if the samples were selected randomly and independently from the population.
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CAN SOMEONE HELP WITH THESE QUESTIONS?✨
The numeric value of the marginal revenue at 33 units will be $336.
How to calculate the marginal revenueThe sum of the units sold times the price per unit is the revenue. Multiply the output level by the pricing function to get the revenue function.
Revenue function is R(q) = - 8q ^ 2 + 600q
Differentiate with respect to q
R^ prime (q) = - 8(2q) + 600(1)
R' (q)=-16q+600 ...(1)
substitute q = 33 in equation
MR(113) = - 8(33) + 600
=-264 + 600
MR (113)= $336 per unit
The marginal revenue is $336.
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Which of the following sequences are geometric?
Check all that apply.
Answer:
A and C are the correct answers
Step-by-step explanation:
Answer:
And C is the answer to the question
Can someone help with some algebra 2 questions?
The specified radical expressions in the questions are evaluated and presented in the simplest form as follows;
(2) [tex]\sqrt[3]{x^2\cdot y^2} \cdot \sqrt[4]{x^5\cdot y^3} = \sqrt[12]{x^{23}\cdot y^{17}}[/tex]
(3) f(g(x)) = √(6·x + 1) - 5
(4) x = (15 ± √(33))/2
(5) x = 126
What is a radical expression?A radical is a mathematical expression which contains the radical expression, '√', which represent a fractional indices of the form 1/n.
(2) The specified radical expression is presented as follows;
∛(x²·y²) × [tex]\sqrt[4]{x^5 \cdot y^3}[/tex]
Expressing the above radical expression in index form, we get;
∛(x²·y²) × [tex]\sqrt[4]{x^5 \cdot y^3}[/tex] = [tex]x^{\frac{2}{3} }\times y^{\frac{2}{3} } \times x^{\frac{5}{4} } \times y^{\frac{3}{4}}[/tex]
Adding the index of like variable terms, we get;
[tex]x^{\frac{2}{3} }\times y^{\frac{2}{3} } \times x^{\frac{5}{4} } \times y^{\frac{3}{4}} = x^{\frac{2}{3} + \frac{5}{4} } \times y^{\frac{2}{3} + \frac{3}{4} }[/tex]
(2/3) + (5/4) = (2×4 + 5×3)/12 = 23/12 = 1 11/12
Therefore; [tex]x^{\frac{2}{3} + \frac{5}{4} } = x^{\frac{23}{12} }[/tex]
2/3 + 3/4 = (2 × 4 + 3 × 3)/(12) = 17/12 = 1 5/12
Therefore; [tex]y^{\frac{2}{3} + \frac{3}{4} } = y^{\frac{17}{12} }[/tex]
Which indicates that we get; [tex]x^{\frac{2}{3} + \frac{5}{4} } \times y^{\frac{2}{3} + \frac{3}{4} } = x^{\frac{23}{12} } \times y^{\frac{17}{12} }[/tex]
Therefore; ∛(x²·y²) × [tex]\sqrt[4]{x^5 \cdot y^3}[/tex] = [tex]x^{\frac{23}{12} } \times y^{\frac{17}{12} }[/tex]
In radical form, we get; [tex]x^{\frac{23}{12} } \times y^{\frac{17}{12} } = \sqrt[12]{x^{23} \cdot y^{17}}[/tex](3) The functions, f(x) = √(3·x + 4) - 5, g(x) = (2·x - 1)
The composite function, f(g(x)) can be found as follows;
f(g(x)) = √(3·g(x) + 4) - 5 = √(3·(2·x - 1) + 4) - 5
f(g(x)) = √(3·(2·x - 1) + 4) - 5 = √((6·x - 3) + 4) - 5 = √(6·x + 1) - 5
The composite function, f(g(x)) is therefore; f(g(x)) = √(6·x + 1) - 5(4) (√(x - 1)) = x - 7
Squaring both sides, we get;
(√(x - 1))² = (x - 7)²
(√(x - 1))² = x - 1(x - 7)² = x² - 14·x + 49Therefore;
(√(x - 1))² = x - 1 = (x - 7)² = x² - 14·x + 49
x - 1 = x² - 14·x + 49
x² - 14·x + 49 - (x - 1) = 0
x² - 15·x + 48 = 0
The quadratic formula can be used to solve the above equation to get;
x = (-(-15) ± √((-15)² - 4×1×48))/(2 × 1) = (15 ± √(33))/2
x = (15 ± √(33))/2(5) 2·∛(x - 1) + 6 = 16
2·∛(x - 1) + 6 = 16
Subtracting 6 from both sides, we get;
2·∛(x - 1) + 6 - 6 = 16 - 6 = 10
2·∛(x - 1) = 10
∛(x - 1) = 10/2 = 5
∛(x - 1) = 5
∛(x - 1)^3 = 5^3
∛(x - 1)^3 = x - 1
5^3 = 125
∛(x - 1)^3 = x - 1 = 125
x = 125 + 1 = 126
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The height of two buildings is 34 m and 29 m respectively. If the distance between the two buildings is 12 m, find the distance between their tops.
Answer: To find the distance between the tops of two buildings, we first need to find the horizontal distance between the two buildings. This distance can be found using the Pythagorean theorem.
Let's call the horizontal distance between the two buildings "d".
d^2 = 12^2 + (34 - 29)^2
d^2 = 144 + 25
d^2 = 169
d = 13
So, the horizontal distance between the two buildings is 13 meters.
To find the distance between their tops, we simply add the height of each building:
distance = 34 + 29 = 63 meters
So, the distance between the tops of the two buildings is 63 meters.
Step-by-step explanation:
A well of diameter 5 m is dug 24 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 3 m to form an embankment. Find the height of the embankment.
Answer: To find the height of the embankment, we need to first find the volume of the well and then the volume of the embankment.
Volume of the well = πr^2h = π * (d/2)^2 * h = π * (5/2)^2 * 24 = 157.08 cubic meters
Volume of the embankment = π * (R^2 - r^2) * h, where R is the outer radius of the embankment and r is the inner radius.
Outer radius of the embankment = (5 + 3)/2 = 4 m
Inner radius of the embankment = (5 - 3)/2 = 1 m
Volume of the embankment = π * (4^2 - 1^2) * h = π * 15 * h
We know that the volume of the well is equal to the volume of the embankment, so we can write:
157.08 = π * 15 * h
Solving for h, we get:
h = 157.08 / (π * 15) = 157.08 / 47.12 ≈ 3.32 m
So, the height of the embankment is approximately 3.32 meters.
Step-by-step explanation:
Please help fast!! What is the domain of the relation?
A: (-5,0,3,4)
B: (-4,-1,0,1,3)
C: (-5,-2,0,1,4)
D: (-5,-4,-2,-1,0,1,3,4)
Look at the picture below
The correct option is A {-5, 0, 3, 4}.
What do you mean by Domain?In mathematics, the domain of a function is the set of all possible input values (independent variable) for which the function is defined. In other words, the domain is the set of values that we can substitute for the independent variable in a function to produce a meaningful output.
For example, consider the function f(x) = 2x. Here, we can substitute any real number for x and get a meaningful output. Therefore, the domain of this function is all real numbers, or (-∞, ∞). However, if we consider the function g(x) = 1/x, we can see that we cannot substitute 0 for x because division by 0 is undefined. Therefore, the domain of this function is all real numbers except 0, or (-∞, 0) U (0, ∞).
The domain of a relation is the set of all possible values for the independent variable (x) for which there exists a corresponding value of the dependent variable (y). In this case, the given coordinates are (1,3), (4,1), and (-5,-4).
The domain of the relation would be the set of x-values that correspond to the given coordinates. So, the domain of this relation is {-5, 1, 4}.
Therefore, the correct answer is A: {-5, 0, 3, 4}.
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Jenny can jog twice as fast as she can walk. She was able to jog the first 9.5 miles to
her grandmother's house, but then she tired and walked the remaining 2.5 miles. If the
total trip took 1.45 hours, then what was her average jogging speed?
Jenny's average jogging speed in the distance covered is; 10 miles/hr
How to solve Algebra Word problems?
Let x miles/hr be the speed that Jenny walks at
Then, 2x miles/hr is the speed that Jenny runs at
She jogs for 9.5 miles
2x miles = 1 hours
9.5 miles = a hours
a = 9.5/2x hours
She walks for 2.5 miles
x miles = 1 hour
2.5 miles = b
b = 2.5/x hours
Thus;
(9.5/2x) + (2.5)/x = 1.45
Multiply through by 2x to get;
9.5 + 5 = 2.9x
14.5/2.9 = x
x = 5 miles/hr
Jogging speed = 2 * 5 = 10 miles/hr
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Ten times the sum of a number and eight is -10. What is the number?
Answer:
Step-by-step explanation:
Answer:
The number is -10.4
Explanation:
Assume that the number we are looking for is x.
Now, we want to get 10 times te sum of half the number and 6 and equate this expression to 8. Then we can solve for x
Let's take this step by step:
half the number is 0.5x
the sum of half the number and 6 is 0.5x + 6
10 times the sum of half the number and 6 is 10(0.5x +6)
10 times the sum of half the number and 6 equals 8 is 10(0.5x+6) = 8
Now we can solve for x as follows:
10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4
Hope this helps :)
1 out of 3 adults has worked in the restaurant industry at some point during his or her life. In an office of 81 workers, how many of these people would you expect to have worked in the restaurant industry at some point?
Answer:
Step-by-step explanation:
(1/3) x 81=27 people
Part D
What do the factors in the factored form represent?
BIUX² X₂ 15px
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Space used (includes formatting): 0/ 15000
AV
The factors in the factored form represents the value of the function when x = 0.
What are Quadratic Functions?Quadratic functions are defined as the polynomial functions consisting of variables and exponents with the degree of the variable being 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given is a quadratic function,
y = x² + 2x - 15
This can be factorized as (x + p)(x + q) such that p × q = -15 and p + q = 2.
Two such numbers are -3 and 5.
-3 × 5 = -15 and -3 + 5 = 2
y = x² + 2x - 15
y = (x - 3) (x + 5)
Factors are x - 3 and x + 5
Here, the numbers 3 and -5 represents the input values of the function when the output value or the value of the function equals 0 or they are the x intercepts of the function.
Hence the factors in the factored form are the x intercepts of the function.
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The complete question is as follows :
What do the factors in the factored form represent?
y = x² + 2x - 15
88
Stephen is comparing two mortgage options for his $80, 000 mortgage.
Mortgage A: 15 years at 4.5% with monthly payments of $611.99
Mortgage B: 30 years at 4% with monthly payments of $381.93
How much is the total payback for each mortgage option?
Provide your answer below:
Mortgage A =$
Mortgage B=$
The mortgage of A is $110158.2.
The mortgage of B is $137494.8.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Mortgage A:
15 years at 4.5% with monthly payments of $611.99.
15 years = 15 x 12 = 180 months
Total paycheck.
= 180 x 611.99
= $110158.2
Mortgage B:
30 years at 4% with monthly payments of $381.93
30 years = 360 months
Total paycheck.
= 360 x 381.93
= $137494.8
Thus,
Mortgage A = $110158.2
Mortgage B = $137494.8
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Please help me!! Quiz due 11:59pm - Match each scatterplot shown below with one of the four specified correlations
The lengths of the three sides of a triangle are x + 15 , 2x + 15 and x + 12 (where x cannot equal zero). What is the perimeter of the triangle? use the drop-down menu to complete the answer.
Answer:
4x + 42
Step-by-step explanation:
[tex]\text{Perimeter}=(x+15)+(2x+15)+(x+12)=4x+42[/tex]
content attribution
QUESTION 5. 1 POINT
1
A company offers one free book download to anyone that registers. The total number of people that register can be
modeled by the function f(x) = 8x³ +70x² +145x+182, where x is the number of months passed since starting the
company. The number of free books available to choose from can be modeled as 2x + 13. Write an expression that can be
used to determine the average number of people that download each of the free books.
Ous
Provide your answer below:
The expression for the average number of people (8x³ +70x² +145x+182)/(2x + 13)
How to determine the expression to determine the average number of peopleFrom the question, we have the following parameters that can be used in our computation:
The total number of people, f(x) = 8x³ +70x² +145x+182
Number of free books = 2x + 13
To determine the average number of people that download each of the free books,
We need to divide the total number of people that register by the number of free books available.
So, we have
Expression = (8x³ +70x² +145x+182)/(2x + 13)
Hence, the expression is (8x³ +70x² +145x+182)/(2x + 13)
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Sariah conducted a study on the effect that listening to music has on memory recall.
As part of her study, she compiled the following data:
Hours Spent
Listening to Music
0-2.5
2.5-5
5-7.5
7.5 -10
10- 12.5
Number of
Students
22
15
3
3
1
Find the mean number of hours the students she surveyed spent listening to music.
Enter your answer as a whole number or as a decimal rounded to the nearest tenth.
The mean number of hours the students spent listening to music is 31.25 hours.
What do you mean by Mean?In statistics, the mean is a measure of central tendency of a set of data. It is also referred to as the arithmetic mean and is calculated by adding up all the values in the data set and dividing by the total number of values.
Mean = (sum of all values) / (number of values)
For example, suppose we have the following set of data: 5, 7, 9, 11, 13. To find the mean, we add up all the values and divide by the total number of values, which is 5 in this case:
Mean = 9
Therefore, the mean of this data set is 9.
The mean is a commonly used measure of central tendency because it takes into account all the values in the data set and is sensitive to changes in the data. However, it can be affected by outliers or extreme values in the data set, which can skew the results.
We can find the mean number of hours spent listening to music using the formula:
mean = (sum of (midpoint of each class) * (frequency of each class)) / (sum of frequencies)
The midpoint of each class can be found by taking the average of the upper and lower class limits.
Using this formula, we get:
mean = ((1.25 + 3.75 + 6.25 + 8.75 + 11.25) * (22 + 15 + 3 + 3 + 1)) / (22 + 15 + 3 + 3 + 1)
mean = (31.25 * 44) / 44
mean = 31.25
Therefore, the mean number of hours the students spent listening to music is 31.25 hours.
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What is the range of y= tan x?
OA. All real numbers
OB. z+TTT
c. -1≤ y ≤1
D. −1≤ x ≤ 1
Answer: The range of the tangent function is (-∞,∞). So the answer is A: All real numbers.
Step-by-step explanation:
I want the answer pleaseee
Answer:
8.6 m
Step-by-step explanation:
DE = 2 7/10 m
= 2 + 7/10
= 2 + 0.7
DE = 2.7 m
EF = 5 9/10 m
= 5 + 9/10
= 5 + 0.9
EF = 5.9 m
DF = DE + EF
= 2.7 + 5.9
= 8.6 m
Help, Solve the system of linear equations by Elmination.
a. Yes, The answer is correct.
b. When we subtract the second equation from the first, the next step would be 3x = 9.
What is a system of linear equations?
The collection of two or more linear equations involving the same variables is known as a system of linear equations. In this case, linear equations are first-order equations, where the maximum power of the variable is 1.
Part a:
Given that, a customer purchases 8 bags of cat food and 2 bags of dog food, then the total weight of the purchase is 44 pounds.
Another customer purchases 5 bags of cat food and 2 bags of dog food, then the total weight of the purchase is 35 pounds.
let the weight of the cat food be 'x' and the dog food is 'y'.
For the first customer,
Total weight will be = 8x + 2y = 44 .....eq 1
For the second customer,
Total weight will be = 5x + 2y = 35 .....eq 2
Which are the two equations given above,
So, The equations are correct.
Part b:
Eliminate y terms from the equations.
Subtract eq 2 from eq 1:
8x + 2y = 44
-(5x + 2y = 35)
______
3x + 0 = 9
3x = 9, which contradicts the above-given step '13x = 79'
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help please i don’t know what to do
Answer:
Add 3 and then multiply by 5.
Step-by-step explanation:
The problem looks like this to me:
[tex] \dfrac{m}{5} - 3 = 8 [/tex]
If this is correct, then the operations are:
Add 3 to both sides.
Multiply both sides by 5.
I don't see that answer. The picture is not very clear to me. What is the denominator of the fraction?
If 4x + 12 = 76, then x =
Answer:
x = 16
Step-by-step explanation:
subtract 12 from both sides to isolate the variable and its coefficient
4x = 64
divide both sides by 4 to get x
x = 16
Answer:
x = 16
Step-by-step explanation:
4x+12=76
Step 1: Subtract 12 from both sides.
4x + 12 - 12 = 76 - 12
4x = 64
Step 2: Divide both sides by 4.
[tex]\frac{4x}{4} = \frac{64}{4}[/tex]
x = 16
inverse function of f(x)= \frac{5}{x} +4
The inverse of the function is f⁻¹ ( x ) = 5 / ( x - 4 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
f ( x ) = ( 5/x ) + 4 be equation (1)
On simplifying the equation , we get
y = ( 5/x ) + 4
Now , replacing x with y , we get
x = ( 5/y ) + 4
On solving for y , we get
5/y = x - 4
y = ( 5 / x - 4 )
Now , the inverse of the function is f⁻¹ ( x ) = 5 / ( x - 4 )
Hence , the equation is f⁻¹ ( x ) = 5 / ( x - 4 )
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Analyze the relationship in this table, and look for a pattern that relates x and f(x)
Part A
Identify the function type that could represent the data in the table. Explain your reasoning.
Type your response in the box.
A quadratic function could represent the data in the table, as the increase rate decreases as x increases, meaning that the function could be approaching it's vertex.
How to classify the function?Traditionally, functions are classified as either linear or exponential, as follows:
Linear: constant increase.Exponent: multiplicative increase.As there is not a constant neither a multiplicative rate of change for the table, the function is neither linear nor exponential.
Considering that from x = 1 to x = 4 the rate of change is of 4/3, while from x = 16 to x = 25 the rate of change is of 4/9, that is, the increase rate decreases as x increases, the function is classified as a quadratic function.
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Solve by elimination. {4x+2y=−6
{3x−2y=13
A. (−2,−5)
B. (1,−5)
C. infinite number of solutions
D. (0,−3)
Answer:
[B]. (1,-5)
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}4x+2y=-6\\ 3x-2y=13\end{bmatrix}[/tex]
Solve:
[tex]\begin{bmatrix}4x+2y=-6\\ 3x-2y=13\end{bmatrix}[/tex] Since 2y - 2y = 0 we take that away now we have;
[tex]4x=-6\\3x=13[/tex] Add 4x + 3x = 7x
[tex]\frac{7x}{7} =\frac{7}{7}[/tex] Divide both sides by 7.
[tex]x=1[/tex]
Now substitute x to find y.
[tex]4(1)+2y=-6[/tex]
[tex]4 + 2y =-6[/tex] Add 6 to the other side.
[tex]10 = 2y[/tex] Divide both sides by 2.
[tex]\frac{10}{2} =\frac{2y}{2}[/tex]
[tex]y = 5[/tex]
Hence, the answer is [B]. (1,-5)
RevyBreeze
On a weekly basis Tino sets aside ½
of his weekly salary for rent, ½ for
credit card payments, ¼ for groceries
and utilities, and the rest,
approximately $15 for entertainment.
Give an approximation of Tino's
weekly salary.
After all the spending costs, Tino's weekly salary is approximately $60.
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.
Let's call Tino's weekly salary "x".
Each week, Tino sets aside half of his salary for rent, so:
0.5x = rent
He also sets aside half of his salary for credit card payments, so
0.5x = credit card payments
And he sets aside a quarter of his salary for groceries and utilities, so:
0.25x = groceries and utilities
And he has approximately $15 left for entertainment, so:
x - 0.5x - 0.5x - 0.25x = 15
We can simplify this equation by combining the terms on the left side:
x - 1.25x = 15
And then solving for x:
-0.25x = 15
x = 60
Therefore, Tino's weekly salary is approximately $60.
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the division or the multiplication property of equality to solve 1,145 = y
-——
224
Answer:
26.it is all about thinking
Complete the table for the given rule.
Rule:
�
=
�
+
0.6
y=x+0.6y, equals, x, plus, 0, point, 6
�
xx
�
yy
3
33
4.2
4.24, point, 2
2
22
y-coordinates for x=3, 4.2, 2 are y=3.6, 4.8 and 2.6 respectively.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given equation is y=x+0.6
Find the y value for x=3, 4.2, 2
When x=3
y=3+0.6=3.6
When x=4.2
y=4.2+0.6=4.8
When x=2
y=2+0.6=2.6
Therefore, y-coordinates for x=3, 4.2, 2 are y=3.6, 4.8 and 2.6 respectively.
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