The surface area of the pyramid is 3136 square inches.
What is pyramid?A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.
Given:
Each side of the base of a square pyramid measures 8 inches.
The height of each lateral face of the pyramid is also 8 inches.
The perimeter of the base P is 32 inches.
The base area B = 8 x 8 = 64 square inches.
The surface area of the pyramid,
= B + 12(P x L)
= 64 + 12(32 x 8)
= 3136 square inches.
Therefore, the surface area is, 3136 square inches.
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consider the expression 1/2x2 +x+7 complete 2 descriptions of the parts of the exprssion
The description of the parts of the expression are:
The coefficient of x² is 1/2.
The coefficient of x is 1.
The constant is 7.
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,
(1/2)x² + x + 7
Now,
The coefficient of x² is 1/2.
The coefficient of x is 1.
The constant is 7.
Thus,
The description of the expression is given above.
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Answer:
The description of the parts of the expression are:The coefficient of x² is 1/2.The coefficient of x is 1.The constant is 7.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,(1/2)x² + x + 7Now,The coefficient of x² is 1/2.The coefficient of x is 1.The constant is 7.Thus,The description of the expression is given above.Learn more about expressions here:brainly.com/question/3118662#SPJ1The description of the parts of the expression are:The coefficient of x² is 1/2.The coefficient of x is 1.The constant is 7.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,(1/2)x² + x + 7Now,The coefficient of x² is 1/2.The coefficient of x is 1.The constant is 7.Thus,The description of the expression is given above.Learn more about expressions here:brainly.com/question/3118662#SPJ1
Step-by-step explanation:
Can someone please help?
Answer: The annual premium for a 27-year-old female purchasing a 20-Year Endowment insurance policy with a face value of $25,000 is $42.67.
Step-by-step explanation:
Find the perimeter of the figure.
Answer:
30
Step-by-step explanation:
Add all the sides and you get 30.
Hope this helps! Pls give brainliest!
Answer:
30
Step-by-step explanation:
6+9.5+6.5+4+4 = 30
Kendall wants to use a credit card to purchase new furniture. His standard
APR is 22.65%, but his credit card is offering a promotional rate of 3% for six
months. The cost of the furniture, including sales tax, is $1,014. Assume that
Kendall has a previous unpaid balance, and his monthly payments apply to that
balance. How much will the promotional rate save Kendall in finance charges
during the six-month period?
Answer:
$199.98
Step-by-step explanation:
To calculate the amount that Kendall will save in finance charges during the six-month promotional rate period, we need to calculate the finance charges he would have incurred with his standard APR and then compare it to the finance charges he will incur with the promotional rate.
First, let's calculate the monthly finance charges with the standard APR. To do this, we need to know the average daily balance for each month. Assuming Kendall has a previous unpaid balance, let's say it is $500. And assuming he makes no other purchases, his average daily balance for each month would be:
$1,014 + $500 = $1,514The finance charges for each month with the standard APR would be:
$1,514 * (22.65/100) / 12 = $38.37
So, the total finance charges for the six-month promotional rate period with the standard APR would be:
$38.37 * 6 = $230.22
Next, let's calculate the finance charges with the promotional rate:
$1,514 * (3/100) / 12 = $5.04
So, the total finance charges for the six-month promotional rate period with the promotional rate would be:
$5.04 * 6 = $30.24
Finally, we can calculate the amount that Kendall will save in finance charges during the six-month promotional rate period:
$230.22 - $30.24 = $199.98
Therefore, Kendall will save $199.98 in finance charges during the six-month promotional rate period.
On a math test there are multiple choice questions worth 4 points and open ended questions worth 6 points. Mr pills' first period class won a competition. and each student has 10 extra credit points added to their test score.
a. If Mai answered 13 mu tipple choice questions correctly and earned a total score of 92. how many open ended questions did she answer correctly?
b. If priya answered 4 open ended questions correctly and earned a total score of 94,how many multiple choice questions did she answer correctly?
c. Write an expression that will represent a students' score in first period who answers m multiple choice questions and e open ended correctly
A: Mai answered 5 open-ended questions correctly,
B: Priya answered 15 multiple-choice questions correctly,
C: expression for the condition is y = 10 + 4a + 6b.
What is a linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given points on each multiple choice question = 4
points on each open-ended question = 6
extra credit for winners = 10 points
A. If Mai answered 13 multiple-choice questions correctly and earned a total score of 92,
the total score of multiple choice questions = 13*4
the total score of multiple choice questions = 52
score left = 92 - 52 - 10 (reducing 10 for extra points)
score left = 30
open-ended questions she answers correctly = 30/6
open-ended questions she answers correctly = 5
B: If Priya answered 4 open-ended questions correctly and earned a total score of 94,
the total score of open-ended questions = 4*6
the total score of open-ended questions = 24
the score left = 94 - 24 - 10 (reducing 10 for extra points)
score left = 60
multiple choice questions she answers correctly = 60/4
multiple choice questions she answers correctly = 15
C: an expression that will represent a student's score in first period,
let y be the total score,
a be the number of multiple choice questions answered,
the total score of multiple choice questions = 4a
and b be the number of open-ended questions answered,
the total score of open-ended questions = 6b
expression is,
y = 10 + 4a + 6b (adding 10 for extra points)
Hence Mai answered 5 open-ended questions correctly,
Priya answered 15 multiple-choice questions correctly,
and expression is y = 10 + 4a + 6b.
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Trigonometric Identities (HELP)
Use the Reciprocal and Quotient Identities for 1&2
1: Find cscX if sinX= 2√5/5
2: Find cosA if tanA= √2/2 and sinA= -√3/3
Use the Pythagorean Theorem identities for 3&4
3: Find sinX if cotX= -√3/2 and cosX < 0
4: Find cotθ if cosθ= 1/7 and sinθ < 0
Use the cofunction and even-odd identities for 5&6
5: Find tan(-x) if cot(π/2 -x)= -1.84
6: Find cos(θ-π/2) if sinθ= -0.57
Simplify the Trigonometric expressions
7: secX ⋅ sin^2X + cosX
8:(sinθ + 1)(tanθ - secθ)
Prove the Trigonometric expression
1+sec^2X / 1+tan^2X= 1+cos^2X
1: cscX = 1/sinX = 5/2√5.
2: Using the reciprocal identity of tanA and sinA,
tanA/sinA = 1/cosA
√2/2 / -√3/3 = 1/cosA
-2√2/2√3 = 1/cosA
cosA = -2√3/2√2.
What are the responses to other questions?3: Using the Pythagorean theorem, sinX = √(1 - cos^2X)
√(1 - cos^2X) = √((1/cot^2X) - 1) = √((√3/2)^2 - 1) / (-√3/2)
sinX = √2/2.
4: Using the Pythagorean theorem,
cotθ = cosθ / sinθ = 1 / tanθ = 1 / (√(1 - cos^2θ) / cosθ) = cosθ / √(1 - cos^2θ) = 1 / (√(1 - (1/7)^2)) = √(48) / 7.
5: Using the cofunction identity, tan(-x) = -tan(x).
Using the identity that tan(π/2 -x) = cot(x),
-tan(x) = -1/cot(π/2 -x) = -1/(-1.84) = 1.84.
6: Using the even-odd identity, cos(-θ) = cos(θ), and
sin(-θ) = -sin(θ),
cos(θ-π/2) = cosθcos(π/2) + sinθsin(π/2) = 0cos(π/2) + (-0.57)sin(π/2) = -0.57.
7: Using the identity sin^2X + cos^2X = 1,
secX ⋅ sin^2X + cosX = secX ⋅ (1 - cos^2X) + cosX = secX - secXcos^2X + cosX = secX + cosX.
8: Using the identity 1 + tan^2θ = sec^2θ,
(sinθ + 1)(tanθ - secθ) = (sinθ + 1)(tanθ - 1/cosθ) = (sinθ + 1)(tanθcosθ - 1) = (sinθ + 1)sinθ(tanθ/sinθ) - (sinθ + 1) = sinθ + sin^2θ - sinθ - 1 = sin^2θ - 1.
Proof:
Using the identity tan^2X = sin^2X / cos^2X,
1+sec^2X / 1+tan^2X = (1 + 1/cos^2X) / (1 + sin^2X / cos^2X) = cos^2X / (cos^2X + sin^2X) = cos^2X / (1) = 1 + cos^2X.
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Write an expression having only two terms that is
equivalent to 2x - 3. Explain how you wrote the
expression and how you can check that it iS equivalent.
Answer:
2X-3=0
2X=3
X=3/2
Step-by-step explanation:
Answer:
2x- 3 = 0
2x=3
x = 3/2
Step-by-step explanation: best of luck to you
Eli's basketball team is having a Free-Throw Challenge in order to raise money for new uniforms. Eli's grandma pledges to give $10 as well as $2 for every free throw he makes. Which equation represents how much money (M) Eli's grandma will give depending on how many free throws (f)
Eli makes?
Answer:
M = 10 + 2f
Step-by-step explanation:
Please see the attachment for detail explanation
According to this diagram, what is sin 28°?
28°
OA. 17
15
OB.
B. 15
8
O C. 17
D. 15
OE
F.
8
15
8
17-
15
62°
90°
00
8
Answer:
sin 28 = 8 /17
Step-by-step explanation:
Since this is a right triangle, we can use trig functions.
sin theta = opp side / hypotenuse
sin 28 = 8 /17
Consider the following system of linear inequalities and corresponding graph:
y ≥ 2x - 4
x > -3
y < 5
Which of the following points is a solution to this system of linear inequalities?
A point that is a solution to this system of linear inequalities is (0, 1).
How to determine the point that is a solutionFrom the question, we have the following parameters that can be used in our computation:
y ≥ 2x - 4
x > -3
y < 5
Using the point (0, 1)
To see why this is a solution, we need to check if it satisfies each of the inequalities:
y ≥ 2x - 4: 1 ≥ 2 * 0 - 4, which is truex > -3: 0 > -3, which is truey < 5: 1 < 5, which is trueSince the point (0, 1) satisfies all of the inequalities, it is a solution to the system of linear inequalities.
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10. A truck travelling at x km/h, where 30 ≤x≤ 120, uses gasoline at the rate of r(x) L/100 km, where r(x) = 1(4900 + x). If fuel costs $1.15/L, what speed will result in the lowest fuel cost for a trip of 200 km? What is the lowest total cost for the trip?
The required lowest cost for the trip of 200km is given as $657.1.
What is the rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
A truck travelling at x km/h, where 30 ≤x≤ 120, uses gasoline at the rate of r(x) L/100 km, where r(x) = 1/400(4900/x + x)
Since,
For r(x) maximum, r(x) = 0
1/400(4900/x + x) = 0
4900 = x²
x = 70 km/hr
Now,
Cost of the fuel for 200km = 200 / r(70) × $1.15/L
= 200/(1/400× (4900/70 + 70)) × 1.15
= $657.1
Thus, the required lowest cost for the trip of 200km is given as $657.1.
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ENRICHED: A random number generator is used to generate one integer between 70 and 200. Let J be the event of generating a multiple of 25, and let K be the event of generating a multiple of 70. What are the possible outcomes of each event?
J={ }
K= { }
J U K{ }
The possible outcomes for each event are given as follows:
J = {75, 100, 125, 150, 175, 200}.K = {70, 140}J U K = {70, 75, 100, 125, 140, 150, 175, 200}.How to obtain the possible outcomes for each event?
Event J is composed by the multiples of 25 that are between 70 and 200, hence we start at 75, as 25 x 3 = 75, and then keep adding 25 until we reach 200, as follows:
J = {75, 100, 125, 150, 175, 200}
Event K is composed by the multiples of 70 that are between 70 and 200, hence we start at 70, as 70 x 1 = 70, and then keep adding 70 until we reach 200, as follows:
K = {70, 140}.
The union set is composed by the elements that belong to at least one of these two sets, hence:
J U K = {70, 75, 100, 125, 140, 150, 175, 200}.
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Find the mean for the number of hours of sleep: 6 7 5 8 6 7 6 8
66
6.7
7
6.625
66.25
The mean of the numbers is 22.625
How to find the mean?The average of all the data in a set. The arithmetic mean is the simplest and most widely used measure of a mean, or average. It simply involves taking the sum of a group of numbers, then dividing that sum by the count of the numbers used in the series.
The mean or average of the set of the data is calculated thus
(6+7+5+8+6+7+6+8)/8
181/8 = 22.625
Therefore, the mean for the number of hours of sleep: 6 7 5 8 6 7 6 8 is 22.625
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Find the scale factor.
ABCD~EFGH
Answer:
0.67
Step-by-step explanation:
10/15＝0.666666......
＝0.67
Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your recommendation for the best financial choice in their situation. Evaluate each of the three offers, compare and contrast their effectiveness, and explain the offer that works best. As you explain your answer, support it using reasons and evidence from the calculations you made based on the information provided in this guide for Analyzing Mortgage Options. pls try to be original
Best Mortgage Option 3 because this mortgage option offers a lower interest rate.
Why Option 3 was recommendedAfter reviewing all three mortgage options available to Demarco and Tanya, I would recommend that they choose option 3. This option offers a lower interest rate compared to the other two options and a longer loan term, which means that their monthly payments will be lower and more manageable for their budget. Additionally, option 3 offers a fixed interest rate, which provides them with more stability and predictability in their mortgage payments, as opposed to options 1 and 2 that offer adjustable interest rates.
Option 1 has the highest interest rate and the shortest loan term, making their monthly payments the highest of all three options. Option 2 offers a slightly lower interest rate, but it still higher compared to option 3, and has a shorter loan term compared to option 3, making their monthly payments still relatively high.
In conclusion, the best financial choice for Demarco and Tanya would be option 3. Its lower interest rate, longer loan term, and fixed interest rate make it the most affordable and stable option for them in the long run.
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A rectangular prism has a volume of 120 in³. What is the height of the prism? What is the
surface area of the prism?
Show your work.
Given that the volume of the rectangular prism is 120 cubic inches, we can write the equation:
l * w * h = 120
where l, w, and h are the length, width, and height of the prism, respectively.
Since the length is 3 and the width is 10, we can plug in these values into the equation:
3 * 10 * h = 120
Solving for h, we get:
h = 120 / (3 * 10) = 120 / 30 = 4
So the height of the rectangular prism is 4 inches.
To find the surface area of the rectangular prism, we can add up the areas of all six faces:
2 * l * w + 2 * w * h + 2 * h * l
Plugging in the known dimensions, we get:
2 * 3 * 10 + 2 * 10 * 4 + 2 * 4 * 3 = 60 + 80 + 24 = 164 square inches
So the surface area of the rectangular prism is 164 square inches.
Answer: Hight 4 inch, surface area 164 square inch
Step-by-step explanation: multiply with l * w * h
* = x
Which of the following gives all the
prime numbers between 0 and 7?
The equation and the graph represent two functions. Use the equation y=4 and the graph to answer the questions.
When x is 4, is the output of the equation or graph greater?
What value for x produces the same output in both the graph and the equation?
When x is 4, the output of the equation is greater.
The value for x that produces the same output in both the graph and the equation is equal to 6.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).
Generally speaking, the graph of any proportional relationship such as the linear equation (y = 4) is characterized by a straight line that crosses the y-coordinate as shown in the image attached below.
By critically observing the graphs of the equations, we can reasonably infer and logically deduce that they both would produce the same output (dependent value or y-value) at the ordered pair (4, 6).
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The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $6 per pound with some Orange Pekoe tea that sells for $4 per pound to get 200 pounds of the new blend. The selling price of the new blend is to be $5.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types. How many pounds of the Earl Grey tea and Orange Pekoe tea are required?
The amount of Earl Grey tea to mix is 225 pounds.
The amount of Orange Pekoe tea to mix is 75 pounds.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let x be the amount of Earl Grey tea to mix.
So, the amount of Orange Pekoe tea to mix = 300-x
then, 6x+4 (300-x) = 5.5 x 300
6x+1200-4x=1650
2x=450
x=225
and, amount of Orange Pekoe tea to mix = 300-225=75
Thus, the amount of Earl Grey tea to mix = 225 pounds
and, the amount of Orange Pekoe tea to mix=75 pounds.
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U= (1,2,3,4,5,6,7,8,9)
A=(1,2,5,6)
B=(2,3,4,6,7)
C=(5,6,7,8
Find (B’ n A) u c
Answer:
[tex](B'\cap A)\cup C=\{1,5,6,7,8\}[/tex]
Step-by-step explanation:
[tex]B'=\{1,5,8,9\}[/tex]
[tex](B'\cap A)=\{1,5\}[/tex]
[tex](B'\cap A)\cup C=\{1,5,6,7,8\}[/tex]
The complement of a set, notated with a prime symbol ('), are all other elements that are not in that set.
The intersection of two sets, notated by [tex]\cap[/tex], are just the elements that are contained in both sets.
The union of two sets, notated by [tex]\cup[/tex], are all the elements that are contained in both sets (any duplicates are not included).
Instructions Type an essay response to the following prompt. Completely explain all parts of your response and use the rubric to determine what you need to include in your essay. 1) In your own words, write a definition for sales tax. 2) If you buy a meal from a restaurant that costs $15.00, and the tax is 7%, how much do you pay in taxes? - Explain in detail, the steps you would take to solve this sales tax question.
1) The sales tax is an additional rate that is paid along with the cost of the meal.
2) The amount paid in taxes for a meal costing $15.00 and a rate of 7% is given as follows: $1.05.
How to obtain the sales tax?The sales tax is obtained applying the proportions in the context of this problem.
A proportion is applied as the sales tax is obtained with the multiplication of the cost of the meal by the decimal equivalent of the percentage of tax.
The decimal equivalent for a percentage of 7% is given as follows:
7/100 = 0.07.
Hence the amount of tax paid is given as follows:
0.07 x 15 = $1.05.
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3 over 5 meters =. centimeters
Answer:
60
Step-by-step explanation:
3/5 = 0.6 meters = 60 cm
Draw 2 isosceles triangles ABC and DEF where AC=BC and DF=EF
The conclusions reached in steps 4 and 5 are invalid. This is a flawed argument for the existence of isosceles triangles.
An isosceles triangle contains what?An isosceles triangle has two equal sides and two equal angles as a result. The term comes from the Greek words iso (same) and skelos (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.
Each step is valid, but the conclusion is not. At the end of step 4,
here are a series of isometric maps that lead A to D and C to F, as claimed..
After the final rotation in Step 5, the sequence of isometries takes B to E and C to F —but here’s the hitch—there is no reason why it should still take A to D, in fact it can’t take A to D unless the rotation angle is zero.
If the rotation angle in Step 5 is zero, then the isometries take [A,B,C] to [D,E,F] and the two triangles are indeed similar
But this requires the dilation in Step 2 to have made A′B′ congruent to DE , in other words, it requires assuming the triangles are similar before performing any of of the transformations.
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Question:
This is an invalid proof that all isosceles triangles are similar. Explain which step is invalid and why. 1. Draw 2 isosceles triangles ABC and DEF where AC = BC and DF = EF. 2. Dilate triangle ABC to a new triangle A'B'C' using center C and scale factor DF/AC so that A'C= BC - DF = EF. 3. Translate by directed line segment CF to take A'B'C' to a new triangle A" B" F. Since translation preserves distance, A"F = A'C=DF and B" F = BC = EF. 4. Since A"F=DF, we can rotate using center F to take A" to D. 5. Since B" F = EF, we can rotate using center F to take B" to E. 6. We have now established a sequence of dilations, translations, and rotations that takes A to D, B to E, and C to F, so the triangles are similar.
Is j = 1 a solution to the inequality below? 4 > j
Answer:
yes
Step-by-step explanation:
4 > j ( substitute j = 1 )
4 > 1 ← is a true statement
so j = 1 is a solution to the inequality
(100 POINTS!) The measures of the exterior angles of an octagon are x°,2x°,3x°,4x°,5x°,6x°,7x°, and 8x°. Solve for X.
[tex]\textit{sum of all exterior angles in a polygon}\\\\ S=360^o \\\\[-0.35em] ~\dotfill\\\\ x+2x+3x+4x+5x+6x+7x+8x=360\implies 36x=360 \\\\\\ x=\cfrac{360}{36}\implies x=10[/tex]
Answer:
The exterior angles of an octagon add up to 360°. So, 8x° = 360°, and x = 45°.
write the following expression in terms of logs of x, y and z: log x√√x/z
The equation in terms of log(x), log(y) and log(z) is,
log x + 1/4 log y -1/2 log z.
What is logarithmic expression?A logarithmic equation is one in which a variable-containing expression's logarithm is used as a solution. If you can write both sides of the equation as powers of the same number, that will help you answer exponential equations.
here, we have,
log x√√y/z = log(x√(√y)/z)
Consider, the given logarithmic expression,
we get,
By using the logarithmic rule: log(ab) = log(a) + log(b)
So, log(x√(√y)/z)
=logx + log(√(√y)/z)
=log x + 1/2 log (√y)/z
=logx + 1/2 log (√y) - 1/2 log z
= log x + 1/4 log y -1/2 log z
Hence, the expression in terms of x , y and z is, log x + 1/4 log y -1/2 log z.
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How many gallons of a 34% sugar solution do we need to mix with 96 gallons of a 10% sugar solution so that the resulting mixture is an 18% sugar solution?
On solving the provided question, we can say that by percentage 9.6 gallons of a 34% sugar solution do we need to mix with 96 gallons of a 10% sugar solution
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
by percentage
mix with 96 gallons of a 10% sugar solution
the resulting mixture is an 18%
10/100 X 96 = 9.6
9.6 gallons of a 34% sugar solution do we need to mix with 96 gallons of a 10% sugar solution
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Given the function
f
(
x
)
=
{
9
x
−
4
x
<
0
9
x
−
8
x
≥
0
The value of function at f(-1) = -13,
f(0) = -8 and f(2) = 10.
What is a linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given equations,
f(x) = 9x - 4 where x < 0
f(x) = 9x - 8 where x ≥ 0
to find f(-1),
substitute value in equation f(x) = 9x - 4 where x < 0
f(x) = 9x - 4
f(-1) = 9(-1) - 4
f(-1) = -13
now f(0) and f(2), substitute in equation f(x) = 9x - 8 where x ≥ 0
f(x) = 9x - 8
f(0) = 9(0) - 8
f(0) = -8
f(2) = 9(2) - 8
f(2) = 10
Hence f(-1) = -13,
f(0) = -8 and f(2) = 10.
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Lexi MUST spend $100 and get 100 animals. $15 for 1 dog, $1 for 1 cat, and 25 cents for each mice.
thank you to whoever helps <33
Amy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $40 and costs an additional $0.70 per mile driven. The second plan has no initial fee but costs $0.90 per mile driven.
For what amount of driving do the two plans cost the
same?
What is the cost when the two plans cost the same?
The two plans cost the same when the amount is $200.
What are equations?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.
Let us suppose the miles driven = x.
Given that,
The first plan has an initial fee of $40 and costs an additional $0.70 per mile driven. This is represented as:
A = 40 + 0.70x
The second plan has no initial fee but costs $0.90 per mile driven.
B = 0.90x
The two plans cost the same when A = B:
40 + 0.70x = 0.90x
40 = 0.90x - 0.70x
40 = 0.20x
x = 200
The two plans cost the same when the amount is $200.
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