The unknown number is equal to 2100.
How to determine the equation representing the situation?In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:
Let the variable n represent the unknown number.
"when divided by 3, I am 700."
n/3 = 700 ...equation 1.
n = 700(3)
n = 2100.
"when divided by 7, I am 300."
n/7 = 300 ....equation 2.
n = 300(7)
n = 2100.
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Casey said 40 people were surveyed. I his answer reasonable?
In 1918, the temperature in Alaska dropped from 52 degrees to -23 degrees in 15 hours. What was the average hourly change in temperature?
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Help please
What quadrilateral has exactly one pair of parallel sided?
solve the inequality 1/2 y +6<0
Gigi’s parents pay $1,400 for a mortgage and $250 for a car loan each month. They pay $175 monthly for health insurance and spend about $300 a month on food. Utilities cost about $150 a month. They pay about $100 for the monthly Internet and cell phone plan and set aside $200 per month for retirement.
This month, Gigi’s parents spend $285 on food, $175 on utilities, and $112 on the Internet and cell phone plan. What are her parents’ total fixed and variable expenses this week?
fixed expenses total: $
variable expenses total: $
Use geometry words to describe a way to separate triangles into other triangles?
Let us suppose we have a triangle ABC as shown in the attached image.
Now, let us we draw a perpendicular line from the vertex A to the base BC. Let the line meets the base BC at D.
Then, this perpendicular line AD will separate the triangle ABC into two right angle triangle ADB and triangle ADC.
Triangles ABC and DEF are similar. The ratio of the side lengths in triangle ABC to triangle DEF is 1:3. If the area of triangle ABC is 1 square unit, what is the area of triangle DEF?
Answer:
The area of triangle DEF is 9 square units.
Step-by-step explanation:
It is given that triangle ABC and DEF are similar and the ratio of the side lengths in triangle ABC to triangle DEF is 1:3.
Let the length of their sides be x and x respectively.
If two triangles are similar then the ratio of their areas is equal to the square of the ratio of their sides.
Since triangle ABC and DEF are similar, therefore
[tex]\frac{Area(ABC)}{Area(DE F)}=\frac{(x)^2}{(3x)^2}[/tex]
[tex]\frac{1}{Area(DE F)}=\frac{(x)^2}{9(x)^2}[/tex]
Cancel out the common factors.
[tex]\frac{1}{Area(DE F)}=\frac{1}{9}[/tex]
On cross multiplication, we get
[tex]1\times 9=1\times Area(DE F)}[/tex]
[tex]9=Area(DE F)}[/tex]
Therefore the area of triangle DEF is 9 square units.
What is the correct meaning of the word foresight?
Kim had the foresight to finish her homework early so she could attend the concert that night.
A) the ability to manage time effectively
B) the inability to see what might happen in the feature
C) a lack of regard for being responsible
D) the ability to look forward and plan ahead
Which of the following equations is the equation of the circle with the diameter AB and points A (0,0) and B (8,6) ?
Hello? How do you make a scatter plot?
Can someone help me please because I have a lot of trouble doing these problems. Please show work so I can see how you did it.
Please help asap will give brainliest!!!
Zöe schedules advertising for a radio station. She must fill 12 minutes each hour with 30 second ads and 60 second ads. Zöe sold twice as many 60 second ads as she did 30 second ads. She defines x as the number of 30 second ads and y as the number of 60 second ads that she sold. Zöe writes the system and . Which statement identifies Zöe’s error and the correction that is needed? Zöe used seconds to measure time for each ad, but she used minutes for the total. She should have used . Zöe set up an equation that would translate to “twice the number of 30 second ads = the number of 60 second ads.” She should have used . Zöe compared the number of 30 second ads to the number of 60 second ads without including the total number of ads. She should have used . Zöe did not include the whole hour in the total time. She should have used .
Zöe's error is in mixing units of seconds and minutes in her measurements. Her total time of 12 minutes should be converted into seconds (720 seconds) to match the 30 and 60 second ad times. The correct equations for her problem are x + 2y = 720 and y = 2x.
Explanation:The given question relates to system of linear equations and misunderstandings in time measurements. The discrepancy in Zöe's equations relates to the units she used for the ad times and the total time. She was dealing with 30 second and 60 second ads (measuring them in seconds), but she attempted to balance this against a total time of 12 minutes (measured in minutes).
The correct approach would be to ensure that all the times are using the same units. Since there are 60 seconds in a minute, Zöe's total time should be expressed as 720 seconds. Additionally, she sold twice as many 60 second ads as 30 second ads. Therefore, her equations should be: x + 2y = 720 and y = 2x.
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The question relates to formulating equations based on given constraints. Zöe's error is in not taking into account that the sum of the times for the 30 and 60-second ads should be 12 minutes. Moreover, the relation between the quantities of the 30 and 60-second ads should be such that the latter is double the former.
Explanation:The question presents a situation where Zöe has to schedule ads for a radio station with a fixed time frame. The constraints are that she has 12 minutes every hour to fill with either 30 second ads or 60 second ads, and that she sold twice as many 60 second ads as she did 30 second ads. Here, x represents the number of 30 second ads and y represents the number of 60 second ads.
Given these criteria, Zöe should set up two equations. The first equation will express the total time consumed by ads: (0.5x + y) minutes = 12 minutes. The second equation represents the relationship of the number of ads: y = 2x.
The error in the way the problem is stated seems to revolve around Zöe's representation of the constraints. She should consider the fact that the total time occupied by the 30 and 60-second ads must equal 12 minutes. Furthermore, the relationship between the number of 30 and 60-second ads should be factored into the equations, with the 60-second ads being twice the number of 30-second ads.
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which of the following are examples of exponential decay? select all that apply.
a) the population of Florida is increasing by 43% each year
b) the pesticide DDT has a half-life of 15 years
c)march madness has 64 teams in the bracket. each round, half of the teams are eliminated
d)after an antibiotic is added to a culture of bacteria, the number of bacteria is reduced by half every three hours
e) a tree frog population doubles every three weeks
A sphere with a radius of 6cm has the same volume as a cylinder with a height of 4.5cm. What is the radius of the cylinder
Cynthia glued a trapezoid with bases of 9 centimeters and 7 centimeters and a height of 6 centimeters onto a rectangular piece of construction paper that measures 20 centimeters by 24 centimeters. How much of the construction paper is not covered by the trapezoid?
Find the value of x. If your answer is not an integer express it in simplest radical form.
Answer:
4to5 and 3to7
Step-by-step explanation:
:)hope this helped
7.Mrs. Deaton’s 6th grade class is creating a mural for the school entryway. Each student is creating a square with a side length of 10 inches that will be joined together to form this mural. The mural itself will be in the shape of a square with five of the student’s squares along each side. What is the total area of the mural?
Final answer:
To determine the total area of the mural, we calculate the area of one student's square, which is 100 square inches, and multiply by the total number of squares in the mural, resulting in 2500 square inches for the total area.
Explanation:
Mrs. Deaton's 6th grade class is working on a mural where each student contributes a square with a side length of 10 inches. The mural will be arranged in a larger square with five student squares along each side. To determine the total area of the mural, we will calculate the area of one student's square and then multiply by the total number of squares.
First, the area of one student's square is found by squaring the side length:
Area of one square = side length × side length = 10 inches × 10 inches = 100 square inches.
Since the mural is a square consisting of 5 student squares on each side:
Total number of student squares = 5 × 5 = 25 squares.
Finally, to find the total area of the mural, we multiply the area of one square by the total number of squares:
Total area of mural = area of one square × total number of squares = 100 square inches × 25 = 2500 square inches.
The total area of the mural is 2500 square inches.
Anna mixes the letters S, E, L, E, C, T, E, and D thoroughly. Without looking, Mary draws one letter. Expressed as a fraction, decimal, and percentage, what is the probability that E will NOT be the letter Mary selects?
The probability of not drawing an E is 5/8. Expressed as a decimal, it is 0.625, and as a percentage, it is 62.5%.
To determine the probability that the letter E is not selected by Mary, we first look at the total number of E's in the mix and the total number of letters. There are three E's and a total of eight letters. To calculate the probability of not drawing an E, we need to find the number of outcomes that are not E, which is 8 total letters minus 3 E's, leaving us with 5 non-E letters.
The probability of not drawing an E can be calculated as the number of non-E letters over the total number of letters: P(not E) = 5/8. To express this as a decimal, we divide 5 by 8 to get 0.625. To express it as a percentage, we simply multiply the decimal by 100, resulting in 62.5%.
Therefore, the probability that E will NOT be the letter Mary selects is 5/8 as a fraction, 0.625 as a decimal, and 62.5% as a percentage.
Can someone please put this in numerical order? Will give 15 points to who does!!!!!!
85 points 91 points 76 points 80 points 83 points
89 points 94 points 75 points 84 points 94 points
write
(6b)^2 without exponents
Which of the following can be used to prove that triangle EFG is also a right triangle?
Prove that the sum of a and c is greater than b.
Prove that the sum of a and b is greater than c.
Prove that the ratio of EF and KL is greater than 1 and hence, the triangles are similar by AA postulate.
Prove that KL is equal to c by Pythagorean Theorem.
Answer:
Prove that KL is equal to c by Pythagorean Theorem.
Step-by-step explanation:
In the two triangles triangle KLM is a right triangle with sides a and b as the two legs of the right triangle .We can apply Pythagorean Theorem to find KL.
In triangle KGF two sides are a and b .If we prove KL=EF then Pythagorean Theorem will be true for triangle KGF and hence we can prove triangle KGF to be a right triangle.
The correct option to prove triangle KGF to be a right triangle is to Prove that KL is equal to c by Pythagorean Theorem.
What is the MAD of the data set?
{5, 12, 1, 6, 11}
Enter your answer in the box
Answer:
Its 3.6
Step-by-step explanation:
You turn {5, 12, 1, 6, 11} into {2, 5, 6, 1, 4} add them into 18 then divide by 5 into 3.6
Triangle BCD is similar to triangle ACE. If the triangles are isosceles, what is the length of AB?
F.) 16cm
G.) 11cm
H.) 40cm
J.) 35cm
Given the function h(x) = 3(5)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
i really just need an answer for B mostly
Part A: The average rate of change of section A is 12 and that of B is 300.
Part B: The average rate of change of Section B is 25 times greater than that of Section A due to the exponential nature of the function h(x).
Explaining the average rate of change for two sections and comparing their values in an exponential function context,
Part A:One rate of change is greater than the other because of the exponential growth nature of the function. The function h(x) = 3 [tex](5)^x[/tex] is an exponential function, and the rate of change increases rapidly as x increases, leading to a much greater average rate of change for Section B than Section A.
The question is:
Given the function h(x) = 3 [tex](5)^x[/tex], Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section.
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.
I do not understand how to do this
The polygons above are similar. Write a similarity statement and solve for x. The images are not drawn to scale.
An equation is shown below: 9(3x-2)=1
Which of the following correctly shows the first two steps to solve this equation?
B the second one. It shows all the steps correctly
what is the mean of 54,48,52,56,55