If the family’s monthly income is $3,286, Wren family budgets for entertainment each month is $328.60.
What do you mean by an income?Income, which is typically stated in the monetary terms, is the spending and saving opportunity acquired by an entity within a given duration. Conceptually, income is hard to define, and different fields may have the distinct definitions. For instance, a person's income may differ from their income as defined by law and in an economic sense.
Haig-Simons income, which defines income as Consumption + Change in Net Worth and is commonly applied in economics, is a very significant definition of income.
Income is a total that includes any wages, salaries, profits, interest payments, rent, or other forms of earnings received in a calendar year for families and individuals in the United States, as defined by tax law. Gross income less taxes and other deductions (such as required pension payments) is a common definition of discretionary income and is frequently used as a benchmark to assess the wellbeing of taxpayers.
The idea may include the accumulation of both monetary and non-monetary consumption capacity, with the former (monetary) serving as a stand-in for total income in the field of public economics.
Gross income for a business is the total revenue less the cost of items sold. Costs are subtracted from revenue by cost of goods sold, expenses, depreciation, interest, and taxes to arrive at net income.
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AOC and BOD are diameters of a circle, centre O,
Prove that triangle ABD and triangle DCA are congruent by RHS.
Answer:
ABC
Step-by-step explanation:
BECAUSE THEY ARE OPPOSITE
A geometric sequence has a common ratio of 2 and the 12th term is −12,288.
What is the explicit rule that describes this sequence?
Answer:
Step-by-step explanation:
[tex]\boxed {b_n=b_1q^{n-1}}[/tex]
[tex]b_{12}=-12,288\ \ \ \ \ q=2\ \ \ \ n=12[/tex]
[tex]-12,288=b_1(2^{12-1})\\\\-12,288=b_1(2^{11})\\\\-12,288=b_1(2048)[/tex]
Divide both parts of the equation by 2048:
[tex]-0.006=b_1[/tex]
[tex]Thus,\ b_1=-0.006[/tex]
11.2 in.
13.3 in.-
3.1 in.
Answer:
It is trapezium.
Step-by-step explanation:
1÷2×h[b1+b2]
A square is cut into 4 identical triangles each triangle has an area of 1 square unit what is the side length of the square
The side length of the square is 2 units.
What is the area of a square?
The area of square is equal to the square of its side. Mathematically -
Area = (side)²
Given is a square which is cut into 4 identical triangles such that each triangle has an area of 1 square unit.
Assume that the side of the square is 'x' units. Then we can say that -
The area of square of side 'x' units = 4 x area of an individual triangle.
Mathematically -
x² = 4 x 1
x² = 4
x = √4
x = ±2
Area cannot be negative, then we can write -
x = 2 units
Therefore, the side length of the square is 2 units.
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what is the equation of this line?
The equation of line is =1/2 x+1/2 .
What is equation of line?
A line equation is a straightforward mathematical formula that uses the slope, x-intercept, and y-intercept of the line to describe the relationship between the points on the line.
The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.
In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change.
y=mx+b
According to graph, points are (-1,0) and (1,1)
Hence we get –m+b=0 and m+b=1
On solving m = ½ and b = ½
The equation of line is =1/2 x+1/2 .
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Solve the following system of equations.
-4x+3y=23
5x-7y=-19
(See picture attached)
if 20 is the mean of 18,23,x,22, and 20 find the value of x
Answer:
x = 17
Step-by-step explanation:
Mean of a set of data values = Sum of the data values ÷ number of data values
Here we have data:
18,23,x,22, and 20
Sum = 18 + 23 + x + 22 + 20 = 83 + x
Number of data points = 5
Mean = (83 + x) / 5 = 20 (given)
Multiplying both sides by 5 gives
83 + x = 20 x 5
83 + x = 100
Subtract 83 from both sides to give
x = 100 -83 = 17
x = 17
Answer:
x = 17Step-by-step explanation:
if 20 is the mean of 18,23,x,22, and 20 find the value of x
(18 + 23 + x + 22 + 20) : 5 = 20
18 + 23 + x + 22 + 20 = 20 * 5
83 + x = 100
x = 100 - 83
x = 17
------------------------
check
( 18 + 23 + 17 + 22 + 20) : 5 =
100 : 5 =
20
the answer is good
Help please i don't know what to do!!!! THANK YOU SO MUCH ILY
The missing numbers in the third level can be 10, 6 and 18
The equations 2x + y = 14 and x + 2y = 16 are true for the number towerThe values of x and y are 4 and 6How to complete the number tower?On the first level of the number tower, we have
First level = 40
On the second level, we have
Second level = 16 and 24
The numbers on the third level of the number tower are missing.
However, these numbers must add up to the sum of 16, while the other must add up to 24
So, we can make use of
10, 6 and 18
This is because
10 + 6 + 6 + 18 = 40
Prove the equationsHere, we have
2x + y = 14 and x + 2y = 16
Multiply 2x + y = 14 by 2
4x + 2y = 28
Subtract x + 2y = 16 from 4x + 2y = 28
4x - x + 2y - 2y = 28 - 16
Evaluate
3x = 12
Divide
x = 4
Also, we have 2x + y = 14
This gives
y = 14 - 2x
y = 14 - 2 x 4
y = 6
So, the values of x and y for 2x + y = 14 and x + 2y = 16 are 4 and 6, respectively
Determine the values of x and yThis has the same step as part (b)
In (b), we have
x = 4
Which gives
2x + y = 14
Make y the subject
y = 14 - 2x
Substitute 4 for x
y = 14 - 2 x 4
Evaluate
y = 6
Hence, the values of x and y for 2x + y = 14 and x + 2y = 16 are 4 and 6, respectively
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I need help pleaseeee
Answer:
a: -$4
b:45
Step-by-step explanation:
First, you just divide the total amount lost by the number of shares. because it is a loss it's going to be a negative number. For the second one, you want the total so you are going to multiply 45 by 9 and because it's an increase, the answer is a positive number.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Question \#1 reads \boxed{\downarrow}}[/tex]
[tex]\large\text{Ivanna owns \underline{6 shares} of a certain stock. Yesterday the total value of}\\\large\text{her shares went down by \underline{24 dollars}. \boxed{\text{What was the change in value}}}\\\large\text{\boxed{\text{for each share}} ?}[/tex]
[tex]\huge\textsf{What should the equation look like?}[/tex]
[tex]\mathsf{\dfrac{24}{6} = change\ in\ value\ for\ each \ share}}[/tex]
[tex]\huge\textsf{How are we going to solve for the answer?}[/tex]
[tex]\mathsf{\dfrac{24\ dollars}{6\ certain \ stock} = change\ in\ value\ for\ each \ share}}[/tex]
[tex]\mathsf{24\ dollars \ \div\ 6\ certain\ stock\ = change\ in\ value\ for\ each \ share}[/tex]
[tex]\mathsf{4 = change\ in\ value\ for\ each \ share}}[/tex]
[tex]\huge\textsf{So, what s the answer to the question?}[/tex]
[tex]\large\text{Therefore, your answer should be: \boxed{\mathsf{4\ dollars}}}\large\checkmark[/tex]
[tex]\huge\textsf{Question \#2 reads \boxed{\downarrow}}[/tex]
[tex]\large\text{A private club grew by \underline{9 members} each week for \underline{45 weeks}. \boxed{\text {What}}}\\\large\boxed{\text{was the total change in the clubs size}} \large\text{ ?}}[/tex]
[tex]\huge\textsf{What should the equation look like?}[/tex]
[tex]\mathsf{\dfrac{45\ weeks}{9\ members} = total\ change\ in \ the\ clubs \ size}[/tex]
[tex]\huge\textsf{How are we going to solve for the answer?}[/tex]
[tex]\mathsf{\dfrac{45\ weeks}{9\ members} = total\ change\ in \ the\ clubs \ size}[/tex]
[tex]\mathsf{45\ weeks\ \div \ 9\ members = total\ change\ in\ the\ clubs\ size}[/tex]
[tex]\mathsf{5 = total\ change\ in\ the\ clubs\ size}[/tex]
[tex]\huge\textsf{So, what s the answer to the question?}[/tex]
[tex]\large\text{Therefore, your answer should be: \boxed{\mathsf{5\ members}}}\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
What amount of a 60% acid solution must be mixed with a 45% solution to produce 600 mL of a 50% solution?
Step-by-step explanation:
x = ml of the 60% solution
y = ml of the 45% solution
x + y = 600
and therefore
x = 600 - y
0.6x + 0.45y = 0.5×600
we use the above identity in this equation :
0.6(600 - y) + 0.45y = 300
360 - 0.6y + 0.45y = 300
60 - 0.15y = 0
60 = 0.15y
y = 400 ml
x = 600 - y = 600 - 400 = 200 ml
Between 10 P.M. and 7:45 A.M., the water level in a swimming pool decreased by
3/8 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
[tex]\frac{1}{12}[/tex] inch per hour
Hope this helps you!
What is Y
4-50
5-Y
6-150
Answer: down here
Step-by-step explanation:
4−50
5−Y
6−150
Factor the expressions that are not already factored.
−46=−2×23
−144=−2
4
×3
2
Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.
3312(Y−5)
Expand the expression.
3312Y−16560
if ( e, f) = (7,2) and (g,h) = (11,5), find the value of the following expression
h-f
__
g-e
Answer: (7,11)
Step-by-step explanation:
Loretta is paid in euros. She is checking her tax bill for last year. The tax rates last year were as follows: • No tax on the first €3500 of earnings • Earnings in excess of €3500 and up to €10 500: taxed at a rate of 25% • Earnings above €10 500: taxed at a rate of 35% Last year, Loretta’s total earnings before tax were €34 500. How much tax did Loretta pay in total? You must show all your working.
Loretta would not have paid any taxes last year because her total earnings were below the €8625 threshold.
What is Percentage ?
A Percentage is a figure or ratio that is stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.
The total amount paid in tax from Cary's last year earning is £9640
Total earning last year = €34 500
Tax on earnings :
First €3500 = 0%
€3500 to €10 500 = 25%
Earnings above €10 500 = 35%
Therefore, tax paid on €34 500 :
Tax percentage × amount earned
First €10 500 earned = (25% × 10,500) = 2625
Excess above €10 500 = (34500 - 10500) = 24000
25% × 24000 = 6000
Therefore, the total tax amount = €(2625 + 6000) = €8625
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Roxanne claims that all linear equations represent proportional relationships. Which statement explains whether Roxanne is correct?
A Yes, because all linear equations have graphs that are straight lines.
B No, because not all linear equations have graphs that pass through the origin.
C Yes, because all proportional relationships can be expressed as linear equations.
D No, because not all proportional relationships can be expressed as linear equations.
Yes, because all linear equations have graphs that are straight lines. This statement explains Roxanne is correct.
The first order of equations is linear equations. For lines in the coordinate system, linear equations are defined. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (one variable) in the equation.
There may be several variables in a linear equation. Linear equations with two variables, and so forth, are what the equation is known as if it has two variables. When the unknown values are replaced for those produced by the solutions of linear equations, the equation is proved to be true. There is just one answer when there is just one variable.
Hence the correct option is A
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2. Calculate the length of a side of an equilgteral triangle if the perimeter is: a) 15 cm d) 45 m pot On Mathematics Grade 7 b) 24 cm e) 900m c) ) 36 cm 270 mm
The length of the sides of equilateral triangles are as follows
5cm, 15m , 8cm , 300m , 12m , 90mm .
What is meant perimeter of a figure?The whole length of a shape's boundary is referred to in geometry as the perimeter of the shape. By multiplying the lengths of all the sides and edges that surround an object, the perimeter may be calculated. It is measured in measures of length that are linear, such as centimeters, meters, inches, or feet. A regular polygon's sides are all the same length, as far as we know.
Therefore,
A regular polygon's perimeter is equal to the product of all of its sides, which is equal to the number of sides divided by the length of a side.
The measurement of a shape's length along its outline is known as its perimeter. Simple addition of the lengths of the object's edges serves as the perimeter measurement method.
The perimeter of an equilateral triangle
= 3a where a is each side
So,
(a) P = 15 cm
3a = 15
a = 5
each side = 5 cm
(b) 45 m
3a = 45
a = 15 m
each side = 15 m
(c) 24 m
3a = 24
a = 8 cm
each side = 8 cm
(d) 900 m
3a = 900
a = 300 m
each side = 300 m
(e) 36 cm
3a = 36
a = 12 cm
each side = 12 cm
(f) 270 mm
3a = 270
a = 90 mm
each side = 90 mm
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(Please help will mark Brainliest)
The scale factor is ____. Write your answer as a whole number or simplified fraction (improper is fine, but otherwise it should be in simplest form). Use the “/” key to separate the numbers; for example: 5/4
Answer: 3/2
Step-by-step explanation:
The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.
We know that Y'X'=3 and YX=2, so the scale factor is 3/2.
Mr. Mateo ordered several copies of a book that weighs Three-fifths of a pound each along with some other school supplies for his classroom. If the total weight of the box that contains the supplies was 10 pounds, what is the maximum number of copies of the book that Mr. Mateo could have ordered?
What do you think?
Which of these students do you think evaluated this expression correctly? Explain your reasoning!
Hannah is correct (48)
Rachel is correct (8)
Madison is correct (3)
Elizabeth is correct (26)
Elizabeth is correct in evaluating the expression.
All the students are evaluating the expression
48÷4×2+2
For evaluating such an expression the order of operations need to be used.
The order of operations are:
Parenthesis ExponentsDivision or Multiplication [whichever comes first in the equation]Addition or Subtraction [whichever comes first in the equation]So the expression 48÷4×2+2 is solved as:
48÷4×2+2
= 12 × 2 + 2
= 24 + 2
= 26
So 26 is the right answer and it is given by Elizabeth.
So Elizabeth is correct(26).
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find the domain of each function.
f(x)=1/(x-3)
The domain of the function f(x)=1/(x-3) will be all the real numbers except 3.
What is a domain?The domain of the function is defined as the set of all the possible values of the function. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given function is f(x)=1/(x-3). The domain of the function will be all the real numbers. But at x = 3 the value of the function does not exist.
Therefore, the domain of the function f(x)=1/(x-3) will be all the real numbers except 3.
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9. Raquel estimated 504,900,000,000 as 3 x 10^8. What error did she
make? Explain.
Answer:
5.049 x 10^11
She'd done the entire equation wrong
3 x 10^8 would be 300000000 when instead 10 should be to the power of 11 and 3 should be 5.049
Step-by-step explanation:
To rewrite something in scientific notation you have to group the numbers that aren't zero (5049) and convert it into a decimal (5.049)
(Decimals for scientific notations will ALWAYS have one number in the 1st digit, no matter what)
Then we see what we have to multiply our decimal to make it into our original number. We count the numbers in the decimal and the rest of our zeros (8+3=11)
5.049 x 10^11 = 504900000000
which of the following represents the ratio of the short leg to the hypotenus in the right triangle shown below.
brainliest
The ratio of the short leg to the hypotenuse in the right triangle is 1 : 2. the correct option is D. 1 : 2
Ratio of triangle side lengthsFrom the question, we are to determine the ratio of the short leg to the hypotenuse in the given right triangle
Given an equilateral triangle with side lengths 2 units each and interior angle 60° each as shown in the diagram below. If the triangle is divided into 2 equal right triangles as shown in the given diagram, the length of the hypotenuse will be 2 units, the length of the short leg will be 1 unit, and the length of the long leg will be √3 units.
Thus,
The ratio of the short leg to the hypotenuse will be
1 unit / 2 units
= 1 : 2
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Two of the angles in a triangle measure 20° and 8°. What is the measure of the third angle?
The measure of the third angle in the triangle is 152°.
What is the value of the angle?It should be noted that a triangle has three sides and the sum of the total angles is 180°.
In this case, two of the angles in a triangle measure 20° and 8°. The third angle will be:
= 180° - (20° + 8°)
= 180° - 28°
= 152°
The angle is 152°.
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What are the domain and range of the function f(x) = 4(RootIndex 3 StartRoot 81 EndRoot) Superscript x?
{x| x is a real number}; {y| y > 0}
{x| x > 4}; {y| y > 0}
{x| x is a real number}; {y| y > 4}
{x| x > 4}; {y| y > 4}
The domain and range of this function f(x) = 4(∛8)ˣ are: A. {x| x is a real number}; {y| y > 0}.
What is a function?A function simply refers to a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable to an output variable.
In this scenario, the function f(x) = 4(∛8)ˣ represents an exponential function. Generally speaking, an exponential function is defined by the set of all real numbers on the x-axis.
Additionally, the value of four (4) is greater than zero (0) and as such the range defined by the set of all real numbers on the y-axis that are greater than zero (0).
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Answer:
A. {x| x is a real number}; {y| y > 0}
Step-by-step explanation:
on edge
the weights (in grams) of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6. what is the sample variance? a. 6.92 b. 4.80 c. 1.96 d. 2.33 group of answer choices b
When the weights (in grams) of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6, the sample variance is D. 2.33.
How to calculate the variance?It should be noted that in Mathematics, the variance simply means the average squared deviation of the mean.
From the information, the weights of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6. Therefore, the sample variance will be illustrated thus:
N = number =7
Sum of the numbers = 28
Mean = 28 / 7 = 4
Sample variance will be:
= (4 - 4)² + (2 - 4)² + (5 -4)² + (4 - 4)² +(5 - 4)² +(2 -4)² + (6 - 5)²
= 14 / 6
= 2.33
Therefore, the variance is 2.33.
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T=
S=
U=
V=
Someone please help me out
Answer:
T: (-10,1)
S: (-10,-4)
U: (-5,1)
V: (-5,-4)
Step-by-step explanation:
Translation means moving the object. Subtract 4 from each x value and add 1 to each y value.
Answer:
T' = (-10, 1)
S' = (-10, -4)
U' = (-5, 1)
V' = (-5, 4)
Step-by-step explanation:
To do this, we will take each coordinate point, subtract four units from the x-value, and add one unit to the y-value.
T = (-6, 0) ➜ (-6 - 4, 0 + 1) ➜ T' = (-10, 1)
S = (-6, -5) ➜ (-6 - 4, -5 + 1) ➜ S' = (-10, -4)
U = (-1, 0) ➜ (-1 - 4, 0 + 1) ➜ U' = (-5, 1)
V = (-1, -5) ➜ (-1 - 4, -5 + 1) ➜ V' = (-5, 4)
Line a is parallel to line b. Which statement about lines a and b is true?
Answer:
Line a and line b have the same slope.
solve the equation x^2+3x-7=0 give your answer to 2 dp
I will give 100 pts to anyone who can answer this
Answer:
[tex]x=\dfrac{-3+\sqrt{37}}{2}, \quad x=\dfrac{-3-\sqrt{37}}{2}[/tex]
Step-by-step explanation:
Given quadratic equation:
[tex]x^2+3x-7=0[/tex]
Solve by Completing the SquareStep 1
When completing the square for a quadratic equation in the form [tex]ax^2+bx+c=0[/tex] the first step is to move the constant to the right side of the equation:
[tex]\implies x^2+3x-7+7=0+7[/tex]
[tex]\implies x^2+3x=7[/tex]
Step 2
Add the square of half the coefficient of the term in x to both sides to form a perfect square trinomial on the left side:
[tex]\implies x^2+3x+\left(\dfrac{3}{2}\right)^2=7+\left(\dfrac{3}{2}\right)^2[/tex]
Simplify:
[tex]\implies x^2+3x+\left(\dfrac{3^2}{2^2}\right)=7+\left(\dfrac{3^2}{2^2}\right)[/tex]
[tex]\implies x^2+3x+\dfrac{9}{4}=7+\dfrac{9}{4}[/tex]
[tex]\implies x^2+3x+\dfrac{9}{4}=\dfrac{28}{4}+\dfrac{9}{4}[/tex]
[tex]\implies x^2+3x+\dfrac{9}{4}=\dfrac{28+9}{4}[/tex]
[tex]\implies x^2+3x+\dfrac{9}{4}=\dfrac{37}{4}[/tex]
Step 3
Factor the perfect square trinomial on the left side:
[tex]\implies \left(x+\dfrac{3}{2}\right)^2=\dfrac{37}{4}[/tex]
Step 4
Square root both sides:
[tex]\implies \sqrt{\left(x+\dfrac{3}{2}\right)^2}=\sqrt{\dfrac{37}{4}}[/tex]
[tex]\implies x+\dfrac{3}{2}=\pm\dfrac{\sqrt{37}}{\sqrt{4}}[/tex]
[tex]\implies x+\dfrac{3}{2}=\pm\dfrac{\sqrt{37}}{2}[/tex]
Step 5
Subtract ³/₂ from both sides:
[tex]\implies x+\dfrac{3}{2}-\dfrac{3}{2}=-\dfrac{3}{2}\pm\dfrac{\sqrt{37}}{2}[/tex]
[tex]\implies x=-\dfrac{3}{2}\pm\dfrac{\sqrt{37}}{2}[/tex]
[tex]\implies x=\dfrac{-3\pm\sqrt{37}}{2}[/tex]
SolutionsTherefore, the solutions of the given quadratic equation are:
[tex]x=\dfrac{-3+\sqrt{37}}{2}, \quad x=\dfrac{-3-\sqrt{37}}{2}[/tex]
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Answer:
i d k
Step-by-step explanation:
James buys a watch that was reduced by 15% in a sale.
At the counter he paid £221
How much did the watch cost originally?
Remember to include units in your answer.
Answer:
The original price of the watch was 260pounds
Step-by-step explanation:
let the reduced price be x
(100%-15%)/100 of x=221
85x/100=221
85x=22100
there fore x=260pounds
Find the area: A trapezoid with a top base length of 6 cm, a bottom base length of 12 cm, and a height of 5cm
Answer:
360
Step-by-step explanation:
multiple all together in an ascending order