In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).
How can these number be determined?Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.
From the question, p = number of pounds Juan will buy.
candy=costs $8 per pound
$20/$4 = 5 pounds
p>5
at least 5 pounds
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Eastern Manufacturing is involved with several situations that possibly involve contingencies. Each is described below. Eastern’s fiscal year ends December 31, and the 2024 financial statements are issued on March 15, 2025.
The income statement, and stockholders equity are given below.
We have to show the income statement
The income statement for Coyote Corporation for the year ended December 31, 2024, is as follows:
Coyote Corporation
Income Statement
For the Year Ended December 31, 2024
Service Revenue $55,000
Less: Expenses
Salaries Expense $27,000
Rent Expense $6,000
Utilities Expense $6,000
Interest Expense $5,000
Total Expenses $44,000
Net Income $11,000
The statement of stockholders' equity for Coyote Corporation for the year ended December 31, 2024, is as follows:
Coyote Corporation
Statement of Stockholders' Equity
For the Year Ended December 31, 2024
Retained Earnings, December 31, 2023 $35,000
Add: Net Income for 2024 $11,000
Less: Dividends $0
Retained Earnings, December 31, 2024 $46,000
Classified Balance Sheet:
Assets
Current Assets
Cash $27,000
Accounts Receivable $26,000
Prepaid Rent $6,000
Supplies $5,000
Total Current Assets $64,000
Property, Plant, and Equipment
Land $55,000
Total Property, Plant, and Equipment $55,000
Total Assets $119,000
Liabilities and Stockholders' Equity
Current Liabilities
Accounts Payable $90,000
Salaries Payable $375,000
Interest Payable $6,000
Total Current Liabilities $471,000
Long-term Liabilities
Notes Payable (due in two years) $55,000
Total Liabilities $526,000
Stockholders' Equity
Common Stock $35,000
Retained Earnings $46,000
Total Stockholders' Equity $81,000
Total Liabilities and Stockholders' Equity $119,000
Therefore, the classified balance sheet for Coyote Corporation as of December 31, 2024, is as follows:
Coyote Corporation
Classified Balance Sheet
As of December 31, 2024
Assets
Current Assets
Cash $27,000
Accounts Receivable $26,000
Prepaid Rent $6,000
Supplies $5,000
Total Current Assets $64,000
Property, Plant, and Equipment
Land $55,000
Total Property, Plant, and Equipment $55,000
Total Assets $119,000
Liabilities and Stockholders' Equity
Current Liabilities
Accounts Payable $90,000
Salaries Payable $375,000
Interest Payable $6,000
Total Current Liabilities $471,000
Long-term Liabilities
Notes Payable (due in two years) $55,000
Total Liabilities $526,000
Stockholders' Equity
Common Stock $35,000
Retained Earnings $46,000
Total Stockholders' Equity $81,000
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complete question:
Kindly check if the photo below of income statement is wrong and correct which one is wrong in a excel or anything that makes it clear to me.
Due in 5 minutes 1/2x +8 ≤10
Answer: The solution to the inequality is x is less than or equal to 4. We can write it in interval notation as (-∞, 4].
Step-by-step explanation: To solve the inequality 1/2x + 8 ≤ 10, we need to isolate the variable x on one side of the inequality sign.
Subtracting 8 from both sides, we get:
1/2x ≤ 2
To isolate x, we need to multiply both sides of the inequality by 2:
x ≤ 4
If $c$ is a constant such that $9x^2+10x+c$ is equal to the square of a binomial, then what is $c$?
c=25/9 for the given condition of the bionomial.
We can solve this problem by using the technique of completing the square.
First, let's assume that [tex]9x^2 + 10x + c[/tex] is equal to the square of a binomial:
[tex](3x + b)^2 = 9x^2 + 6bx + b^2[/tex]
If we compare the above expression with [tex]9x^2 + 10x + c[/tex], we can see that:
6bx = 10x, which implies that b = 5/3
b^2 = c, which implies that [tex]c = (5/3)^2 = 25/9[/tex]
Therefore, c = 25/9 is the constant that satisfies the condition
[tex]9x^2 + 10x + c[/tex] is equal to the square of a binomial.
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The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 120.5° is added to the data, how does the mean change and by how much?
Isiah is saving $12 per week from his allowance. After 20 weeks Isaiah has $240.
$[tex]240[/tex] is saved by Isaiah from his allowance within the space of [tex]20[/tex] weeks.
What is allowance?The link between two or more variables is depicted using an equation. Mathematical operations may be used in equations.
Isaiah is saving $[tex]12[/tex] per week from his pay.
Amount of money saved by Isaiah in [tex]20[/tex] weeks
Money saved [tex]=[/tex] $[tex]12[/tex] ×[tex]20[/tex]
Money saved = $[tex]240[/tex]
Therefore, $[tex]240[/tex] is saved by Isaiah from his allowance within the space of [tex]20[/tex] weeks.
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the calculated total savings matches the given total savings of $240, we can say that the statement is true
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
To check whether this statement is true or false, we can use the following formula:
Total Savings = Savings per Week × Number of Weeks
Substituting the given values, we get:
Total Savings = $12/week × 20 weeks = $240
Since the calculated total savings matches the given total savings of $240, we can say that the statement is true.
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Find the area of each
The areas of each figure are 5.6 sq m, 76.8 sq km, 280.8 sq units, 173.88 sq units and 332 sq units
Finding the area of each figureThe area of a shape is the amount of space on it
Using the above as a guide, we have the following:
Figure 7:
The area is calculated as
Area = 1/2 * (sum of parallel sides) * height
So, we have
Area = 1/2 * (3.9 + 1.7) * 2
Area = 5.6 sq m
Figure 8:
The area is calculated as
Area = Base * height
So, we have
Area = 9.6 * 8
Area = 76.8 sq km
Figure 9:
The area is calculated as
Area = 6 * 1/2 * Base * height
So, we have
Area = 6 * 1/2 * 9 * 10.4
Area = 280.8 sq units
Figure 10:
The area is calculated as
Area = 7 * 1/2 * Base * height
So, we have
Area = 7 * 1/2 * 6.9 * 7.2
Area = 173.88 sq units
Figure 11:
The area is calculated as
Area = 8 * 1/2 * Base * height
So, we have
Area = 8 * 1/2 * 10 * 8.3
Area = 332 sq units
Figure 12, 13 and 14:
The areas of the figures cannot be calculated with the available details and parameters
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Solve for x:-
2^x=32
Answer:
x=5
Step-by-step explanation:
2^x= 32
2^x=2^5
(comparing, common denominator)
therefore x=5.
Whitney has $50,000 in a savings account that earns 13% annually. The interest is not
compounded. How much interest will she earn in 4 years?
Use the formulai = prt, where i is the interest earned, p is the principal (starting amount), r
is the interest rate expressed as a decimal, and t is the time in years.
Using the simple interest formula, Whitney earned an interest of $26,000 in 4 years.
What is the simple interest formula?The simple interest system does not charge interest on accumulated interest (unlike the compound interest system) but only on the principal for each period.
The formula for computing the simple interest amount for the period is given as I = PRT, where I is the interest earned, P is the principal (starting amount), R is the interest rate expressed as a decimal, and T is the time in years.
Principal = $50,000
Simple interest rate = 13%
Investment period = 4 years
Simple interest earned = $26,000 ($50,000 x 13% x 4)
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θ=1 rad when S=r. If θ=2 rad then what is the condition? :::::::(S means arc length)
If θ=2 rad then the condition when θ=2 rad is that the arc length S is equal to twice the radius r.
In this problem, we are given that when the arc length is equal to the radius (S=r), the angle is 1 radian (θ = 1 rad). Now, we are asked to find the condition when the angle is 2 radians (θ = 2 rad).
If Θ=1 rad when S=r, it means that when the angle subtended by an arc of length r is 1 radian, then the radius of the circle is also r.
Now, if θ=2 rad, we can use the same proportionality to find the arc length S that corresponds to this angle. Since the angle has doubled, we can expect the arc length to double as well. Therefore, we have:
θ/Θ = S/r
2/1 = S/r
S = 2r
Thus, the condition when θ=2 rad is that the arc length S is equal to twice the radius r.
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If you repeat this experiment 360 times, how many repetitions do you predict will result in the same letter being spun for both spins?
Answer:
90
Step-by-step explanation:
You want to know the number of times in 360 trials that the same letter will appear twice in a row using a fair 4-letter spinner.
ProbabilityThe table shows 4 outcomes of the 16 possible that have the same letter repeated. That's a probability of a repeated letter of 4/16 = 1/4.
Expected numberThe expected number of repeated letters in 360 trials is the number of trials times the probability of a repeat:
expected repeats = 360 × 1/4 = 90
You predict there will be 90 repetitions in 360 trials.
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Can someone help me with this problem please? :(
Answer:
y =- [tex]\frac{3}{4}[/tex] x + 1
Step-by-step explanation:
This is a linear equation: y = mx + b
First, you are going to find the y-intercept, b, which in this case is 1.In order to find the slope just use the [tex]\frac{rise}{run}[/tex] method, which in this problem it goes down 3 and 4 to the right.A large container holds a sports drink for the soccer team. It holds 6 gallons of sports drink. How many cups of sports drink does the container hold?
Answer: 96
Step-by-step explanation: There are 16 cups in each gallon. To get how many there are in 6 gallons you would need to multiply 6 and 16.
6*16=96
or
16+16+16+16+16+16= 96
Select the TWO correct statements.
Answer:
x = 4√3 y = 8/√2 = 4√2
(4 rad 3) (4 rad 2)
is it true that 5 2/3 - 3 3/4= 1+2/3+3/4
In linear equation., both quantities are different from each other.
What is a linear equation in mathematics?
A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.
Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.
Taking LHS
5 2/3 - 3 3/4= 17/3 - 15/4
17/3 - 15/4 = 68 - 45/12 = 23/12
now solving RHS
1+2/3+3/4 = 12 + 8 + 9/12 = 29/12
clearly, LHS≠ RHS
hence both quantities are different from each other.
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100 Points! Write a polynomial function of least degree with integral coefficients that have the given zeros of -1,1,i√6. Photo attached. Please show as much work as possible. Thank you!
The required polynomial [tex]f(x) = x^4+5x^2-6[/tex] has the zeros -1, 1, [tex]i\sqrt6[/tex], and [tex]-i\sqrt6[/tex].
What is a polynomial ?
A polynomial is a mathematical expression that consists of variables and coefficients, combined by addition, subtraction, and multiplication, but not division by a variable.
To write a polynomial function of least degree with integral coefficients that has zeros of -1, 1, and [tex]i\sqrt{6[/tex], we need to include their conjugates as well. This is because complex roots always come in conjugate pairs.
The conjugate of [tex]i\sqrt{6[/tex] is [tex]-i\sqrt{6[/tex], so our polynomial function will have the following zeros: -1, 1, [tex]i\sqrt{6[/tex], and [tex]-i\sqrt{6[/tex].
To find the polynomial function, we can use the fact that the product of the factors of a polynomial is equal to the polynomial itself. So, we can start by multiplying out the factors:
[tex](x+1)(x-1)(x-i\sqrt6)(x+i\sqrt6)[/tex]
Expanding this out gives:
[tex](x^2-1)(x^2+6)[/tex]
Multiplying these two expressions gives:
[tex]x^4+5x^2-6[/tex]
So the polynomial function of least degree with integral coefficients that has zeros of -1, 1, and [tex]i\sqrt{6[/tex] is [tex]f(x) = x^4+5x^2-6[/tex]
To verify that this polynomial has the desired zeros, we can factor it using the difference of squares:
[tex]x^4+5x^2-6 = (x^2-1)(x^2+6) = (x-1)(x+1)(x^2+6)[/tex]
And the quadratic factor has no real roots, so it must be the factorization [tex](x-i\sqrt6)(x+i\sqrt6)[/tex].
Therefore, [tex]f(x) = x^4+5x^2-6[/tex] has the zeros -1, 1, [tex]i\sqrt6[/tex], and [tex]-i\sqrt6[/tex], as required.
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can I ask for someone to help me please?
Here we have an exponential growth were the increase is of 26%, and it can be written as.
[tex]y = a*(1 + 0.26)^t[/tex]
How to rewrite the function?Here we want to rewrite the function
[tex]y = a*(2)^{t/3}[/tex]
In the given form for the general exponential, so let's do that.
We can expand the product to get:
[tex]y = a*(2)^{t/3}\\\\y = a*((2)^{1/3})^t\\\\y = a*(1.26)^t\\\\y = a*(1 + 0.26)^t[/tex]
To identify if it is a growth or a decay we need to see the sign of r (the thing we are adding to the 1) in this case is +0.26
When it is positive we have a growth, so here we have a growth.
And to get the percentage multiply that number by 100%, we will get:
0.25*100% = 26%
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Determine the line of reflection. Reflection across the x-axis Reflection across the y-axis Reflection across x = 5 Reflection across y = 6
The calculated line of reflection of the graph is y = -3
Determining the line of reflection.The given graph is added as an attachment
From the graph, we can see that the shapes are symmetrical about the line y = -3
When shapes are symmetrical about a point or a line, then the point or the line is the point of reflection
This means that the line of reflection is y = -3
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Answer:
The calculated line of reflection of the graph is y = -3
Step-by-step explanation:
Ahmad received a $1100 bonus. He decided to invest it in a 2-year certificate of deposit (CD) with an annual interest rate of 1.14% compounded daily.
Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the
list of financial formulas. Assume there are 365 days in each year.
(a) Assuming no withdrawals are made, how much money is in Ahmad's
account after 2 years?
(b) How much interest is earned on Ahmad's investment after 2 years?
The interest that have been earned after two years is $25.
What is the compound interest?A type of interest known as compound interest is computed using both the original sum and any accrued interest from earlier periods. The interest that is earned on interest is, in other terms, interest.
We know that by the compound interest formula;
A = P(1 + r/n)^nt
A = amount
P = principal
r = rate
n = Number of times compounded
t = time
Thus;
A = 1100(1 + 0.0114/365)^365* 2
A = $ 1125
Thus the interest after two years is;
$ 1125 - $1100
= $25
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Let
x = −4, y = 0,
and
z = 7
and evaluate the expression.
Answer:you need to include the expression
Step-by-step explanation:
once you have the expression, substitute the numbers given for each variable and use order of operations to
the number y is 8 less than 2 times another number x, their sum is 7
The two numbers given by the algebraic expressions are x = 5 and y = 2.
What is system of equation?A system of equations is a set of two or more equations that are to be solved simultaneously. In other words, a system of equations represents multiple relationships between variables that need to be solved for at the same time. A system of equations can be solved using various methods, such as substitution or elimination. The goal of solving a system of equations is to find the values of the variables that satisfy all of the equations in the system. One common method for solving systems of linear equations is called Gaussian elimination, which involves manipulating the equations in the system to eliminate one variable at a time until a solution is found.
Let us suppose the numbers as x and y.
From the given statement the mathematical expression can be set as:
y = 2x - 8
x + y = 7
Now. substituting the value of y in equation we have:
x + (2x - 8) = 7
3x - 8 = 7
3x = 15
x = 5
Now, for x = 5 the value of y is:
y = 2(5) - 8
y = 2
Hence, the two numbers are x = 5 and y = 2.
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The complete question is:
The number y is 8 less than 2 times another number x, their sum is 7. Find the number.
Find the missing measurements in the triangle.
Angles should be to the nearest degree.
Side lengths should be rounded to the nearest tenth.
Answer: angle b= 63
Ac= 23.6
Ab=26.4
Step-by-step explanation:
angle b= 63
Ac= 23.6
Ab=26.4
Angle B is 63 degrees, the length of AC is approximately 22.23 units, and the length of AB is approximately 26.42 units.
What is right angle triangle?
A triangle in which one of its angles measures 90 degrees is called a right-angled triangle .
The side opposite the right angle is called the hypotenuse while the other two sides are called the legs or the adjacent and opposite sides.
According to given figure angle C is a right angle, we know that the sum of angles A and B must be 90 degrees.
So, angle B = 90 - angle A = 90 - 27 = 63 degrees.
To find the length of AC, we can use trigonometry. Since we know the length of the opposite side (BC) and the angle opposite the side we want to find (angle A), we can use the tangent function:
tan A = opposite / adjacent
tan 27 = BC / AC
AC = BC / tan 27
AC = 12 / tan 27
AC ≈ 22.23
Now,
[tex]AB^2 = AC^2 + BC^2 \\ AB^2 = 22.23^2 + 12^2 \\ AB^2 ≈ 697.57 \\ AB ≈ 26.42[/tex]
Therefore, Angle B is 63 degrees, the length of AC is approximately 22.23 units, and the length of AB is approximately 26.42 units.
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Help !!!!!!!!!!!!!!!!!!!!!!!!!!!
The preimage of the quadrilateral is in the second quadrant. The quadrilateral is reflected across the x-axis, the image would lie in the fourth quadrant.
What is quadrilateral?A quadrilateral is a geometric shape that consists of four straight sides and four angles. It is a two-dimensional shape, also known as a 2D polygon, and can be defined as any closed shape that has four sides. There are many different types of quadrilaterals, each with its own unique set of characteristics.
According to given information:The second quadrant is characterized by negative x-coordinates and positive y-coordinates, while the fourth quadrant has positive x-coordinates and negative y-coordinates.
If the preimage of the quadrilateral is in the second quadrant, then its x-coordinates are negative and its y-coordinates are positive.
When the quadrilateral is reflected across the x-axis, its x-coordinates will remain the same but its y-coordinates will become negative. Therefore, if the preimage is in the second quadrant and the quadrilateral is reflected across the x-axis, the image would lie in the fourth quadrant.
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Which of the points below correctly plots the point (4,4π/3)?
Answer: the correct answer is B
Step-by-step explanation:
Remember that the coordinates (4,4π3) tell us the radius r=4 and the angle θ=4π3. So the point should be on the circle labeled 4 and form an angle of 4π3 with the positive x-axis. Point B is the correct point.
According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average
of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X = height of
the individual
The middle 40% of heights fall between what two values? Sketch the graph, and write the probability statement
The probability statement is written below:
P(62.8 ≤ X ≤ 69.2) = 0.4What is the probability statement?The middle 40% of heights fall between the 10th and 90th percentiles of the standard normal distribution.
The z-scores of the 10th and 90th percentiles are -1.28 and 1.28 respectively.
The heights in the given normal distribution are found using the formula:
X = μ + zσwhere
X is the height,μ is the mean height = 66 inchesσ is the standard deviation = 2.5 inchesz is the z-score.The height of the 10th percentile is:
X = 66 + (-1.28)(2.5)
X = 62.8 inches
The height of the 90th percentile is:
X = 66 + (1.28)(2.5)
X = 69.2 inches
Therefore, the middle 40% of heights fall between 62.8 inches and 69.2 inches and the probability statement will be P(62.8 ≤ X ≤ 69.2) = 0.4
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The area of a rhombus is 20 square miles. One of its diagonals is 10 miles. What is the length of the missing diagonal?
The length of the missing diagonal is 4 miles.
Step-by-step explanation:
GIVEN :
Area of rhombus = 20 square milesDiagonals of rhombus = 10 milesTO FIND :
Length of missing diagonalsUSING FORMULA :
[tex] \longrightarrow{\sf{Area \: of \: rhombus = \dfrac{d_1 \times d_2}{3}}}[/tex]
SOLUTION :
Substituting the given values in the formula to find the length of the missing diagonal :
[tex] \longrightarrow{\sf{Area \: of \: rhombus = \dfrac{d_1 \times d_2}{3}}}[/tex]
[tex] \longrightarrow{\sf{20 = \dfrac{10 \times d_2}{2}}}[/tex]
[tex] \longrightarrow{\sf{20 \times 2= 10 \times d_2}}[/tex]
[tex] \longrightarrow{\sf{40= 10 \times d_2}}[/tex]
[tex] \longrightarrow{\sf{d_2 = \dfrac{40}{10}}}[/tex]
[tex] \longrightarrow{\sf{d_2 = \cancel{\dfrac{40}{10}}}}[/tex]
[tex]\longrightarrow{\sf{\underline{\underline{d_2 = 4 \: miles}}}}[/tex]
Hence, the length of the missing diagonal is 4 miles.
Answer:
The length of the missing diagonal is 4 miles.
Step-by-step explanation:
To find the length of the missing diagonal, we can use the formula for the area of a rhombus, which is:
[tex]\sf\qquad\dashrightarrow Area_{(Rhombus)} = \dfrac{(Diagonal_1 \times Diagonal_2)}{2}[/tex]
We know that the area is 20 square miles and one of the diagonals is 10 miles, so we can substitute these values into the formula as follows:
[tex]\sf\qquad\dashrightarrow20 = \dfrac{(10 \times Diagonal_2)}{2}[/tex]
Simplifying the equation, we get:
[tex]\sf\qquad\dashrightarrow 40 = 10 \times Diagonal_2[/tex]
Dividing both sides by 10, we get:
[tex]\sf\qquad\dashrightarrow \boxed{\bold{\:\:Diagonal_2 = 4\:\:}}\:\:\:\bigstar[/tex]
Therefore, the length of the missing diagonal is 4 miles.
4) Which of the following lists are in order from least to greatest? Select TWO correct answers * 2 points
A 117.51 17.382 17.38 17.23
B 452.8 45.18 452.28 453.71
C 0.005 0.045 0.102 0.63
D 2.452 2.749 2.981 2.994
E 7.604 7.599 7.452 7.045
Answer: The two lists that are in order from least to greatest are:
C) 0.005, 0.045, 0.102, 0.63
and
E) 7.045, 7.452, 7.599, 7.604
Step-by-step explanation:
To determine which lists are in order from least to greatest, we need to compare the values and arrange them accordingly. Here is the explanation for the two correct answers:
C) 0.005, 0.045, 0.102, 0.63
This list is already in order from least to greatest. Starting from the smallest value of 0.005, each subsequent value increases until we reach the largest value of 0.63.
E) 7.045, 7.452, 7.599, 7.604
This list is also in order from least to greatest. Starting from the smallest value of 7.045, each subsequent value increases until we reach the largest value of 7.604.
For the other options:
A) 117.51, 17.382, 17.38, 17.23 - This list is not in order from least to greatest.
B) 452.8, 45.18, 452.28, 453.71 - This list is not in order from least to greatest.
D) 2.452, 2.749, 2.981, 2.994 - This list is not in order from least to greatest.
Therefore, the two lists that are in order from least to greatest are C (0.005, 0.045, 0.102, 0.63) and E (7.045, 7.452, 7.599, 7.604).
x = sin t, y = 3 cos t
Answer:
16.39 square units.
Step-by-step explanation:
The parametric equations x = sin t and y = 3 cos t describe a curve in the xy-plane known as an ellipse.
To see this, we can use the Pythagorean identity for sine and cosine:
sin^2 t + cos^2 t = 1
Multiplying both sides by 9, we get:
9 sin^2 t + 9 cos^2 t = 9
Substituting x = sin t and y = 3 cos t, we get:
9 x^2 + y^2/3 = 9
This is the equation of an ellipse centered at the origin with semi-axes a = 3 and b = sqrt(3), where a is the length of the horizontal semi-axis and b is the length of the vertical semi-axis.
The area of an ellipse is given by the formula:
Area = pi * a * b
Substituting the values of a and b, we get:
Area = pi * 3 * sqrt(3) ≈ 16.39
Therefore, the area of the ellipse described by the parametric equations x = sin t and y = 3 cos t is approximately 16.39 square units.
Use the graph to answer the question.
graph of polygon ABCD with vertices at 1 comma 5, 3 comma 1, 7 comma 1, 5 comma 5 and a second polygon A prime B prime C prime D prime with vertices at 8 comma 5, 10 comma 1, 14 comma 1, 12 comma 5
Determine the translation used to create the image.
7 units to the right
7 units to the left
3 units to the right
3 units to the left
Brenda earns $5 each week for chores. x represents the number of weeks brenda did her chores. t represents the total dollars she earned. create an equation representing this situation
The situation is modeled by the linear equation:
t = $5*x
How to write the equation?We know that Brenda earns $5 each week for chores. The variable x represents the number of weeks brenda did her chores, and t represents the total dollars she earned.
Then if she works for x weeks, the amount that she earns is x times $5, then the equation will be a linear one:
t = $5*x
That is the equation.
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1. Diego multiplies and divides original
numbers by powers of 10 to create new
numbers.
The original numbers multiplied by 10² are:
968
0.002
3.33
How to find which original numbers were multiplied by 10²?When a number is multiplied by 10², the position of the decimal point will move to the right by 2 steps. If the number does not have decimal point, two zeros is added to the back of the number .
6 * 10³ = 6,000
968 * 10² = 96,800
0.002 * 10² = 0.2
70,000 ÷ 10² = 700
3.33 * 10² = 333
Thus, the original numbers multiplied by 10² are 968, 0.002 and 3.33
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