the denominator of a certain number was 147 greater than its numerator. What was the denominator of this fraction, if after the fraction was reduced it became 5/12
The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than its height. Complete an input/output table for at least three pairs of inputs and outputs. Make sure to use values that make sense within the context of this situation.
Need help on #16 ASAP
simplify this expression 3x^2 y^2/24x
Need help with 2 3 4 5 6
Answer:
all answers are shown and pictured
the perimeter of a triangle is 75 cm. The triangle is isosles now, but if its base were lenghthened by 2 cm and each leg were shortened by 7 cm, it would be equilateral. find the length of the base of the original triangle
(-14)+2=(-12)
75-12=63
63/3=21
21-2=19 BASE=19
21+7=28 EACH LEG=28
28+28+19=75
new triangle 21+21+21
19+2=21
28-7=21
To find the original base length of the isosceles triangle, we set up equations based on the given perimeter and the condition for the triangle turning into an equilateral triangle after changes to its sides. Solving these equations, we find that the original base length is 19 cm.
Explanation:The student is asking about solving a problem related to the perimeter of an isosceles triangle and finding the original base length given certain conditions that would turn it into an equilateral triangle.
In the original isosceles triangle, we'll denote the equal sides as 'a' and the base as 'b'. Since the perimeter is the sum of all sides, we have:
a + a + b = 75 cm
When altered, the base becomes 'b + 2 cm' and the equal sides become 'a - 7 cm'. To form an equilateral triangle, all sides must be equal:
b + 2 = a - 7
Simplifying gives us two equations:
2a + b = 75b + 2 = a - 7Rearranging the second equation we get a = b + 9. Substituting 'a' in the first equation we get:
2(b + 9) + b = 75
Which simplifies to:
3b + 18 = 75
b = 19 cm
Therefore, the length of the base of the original isosceles triangle is 19 cm.
QUESTION 1:
The probability that an event will occur is 15%. Which of these best describes the likelihood of the event occurring?
A: Likely
B: Certain
C: Unlikely
D: Impossible
QUESTION 2:
The probability that an event will occur is 1/8 . Which of these best describes the likelihood of the event occurring?
A: Likely
B: Certain
C: Unlikely
D: Impossible
Thanks :)
Please help on the fraction question
What is (x-5)1/2+5=2
Look at the model below and write an expression to match.
a jewelry store buys 24 necklaces for $300. the store wants to make a profit of $540. assuming it sells all 24 necklaces, how much should the store charge for each necklace?
Answer:
i agree with the other person
Step-by-step explanation:
A sided cube labeled 1-6 is rolled 200 times. An even number is rolled 115 times. Compare the theoretical probability of rolling an even number with the relative frequency of rolling an even number and select one statement.
Probability the same, Probability is smaller. Probability is larger. There's not enough information
Answer:
Probability is smaller.
Step-by-step explanation:
The length of a rectangle is 5/2 units greater than twice its width. If its width is w, which expression gives the perimeter of the rectangle in terms of w?
Answer:
D: 6w + 5
Step-by-step explanation:
The perimeter of a rectangle can be calculated as follows:
Perimeter = 2(width + length)
We are given that:
width = w units
length is 5/2 units greater than twice the width. This means that:
length = 2w + 5/2
Now, substitute in the above equation to get the expression for the perimeter as follows:
Perimeter = 2(width + length)
Perimeter = 2(w + 2w + 5/2)
Perimeter = 2(3w + 5/2)
Perimeter = 2(3w) + 2(5/2)
Perimeter = 6w + 5
if a hot air balloon descends at a rate of 320 feet per min for 3 mins what is its total change in altitude
l To finance a bridge costing $94,500, the state contributed twice as much as the county and the county contributed twice as much as the city. How much did each contribute?
What is the value of x. Enter your answer in the box.
A triangle with 3 sides that's a right triangle the longest one is 24 then 7 then x. What is x
X=___
Evaluate square root of 24 - x when x = 6 . Write the answer in simplified radical form.?
1. Suppose the population of deer in a region was 3500 in the year of 2000 since when the population has grown by 3.5% annually what will the approximate population be in the year of 2020 y equals 8 x b x where a is the starting amount B is the growth rate increasing add to 1 and X is time.
2.
The population of New Haven was 148220 in 2004 since when the population has been decreasing at an annual rate of 2.9% if the rate of the decline continues what will the population be in the year 2015
To calculate future population growth, we use a formula incorporating the initial population, annual growth rate, and number of years. For growth, we add one to the growth rate and raise it to the power of elapsed years, then multiply by the initial population. For decline, we subtract the rate from one and then do similar exponentiation and multiplication.
Calculating Future Population Growth
To calculate the future population of deer given a starting population and a constant annual growth rate, we use the formula y = a(1+b)^x, where 'a' is the starting amount, 'b' is the growth rate, and 'x' is the number of years elapsed. For the deer population, from 2000 to 2020, there are 20 years of growth at 3.5% annually. Using a=3500, b=0.035, and x=20, the calculation is as follows:
Convert the percentage to a decimal: 3.5% becomes 0.035.
Add 1 to the growth rate: 1 + 0.035 = 1.035.
Raise this sum to the power of 20: (1.035)^20.
Multiply the result by the initial population: 3500 * (1.035)^20.
For the New Haven population, which is decreasing at 2.9% annually from 2004 to 2015 (11 years), the steps are similar. However, we subtract the percentage decline from 1 instead since the population is decreasing.
Convert the percentage to a decimal: 2.9% becomes 0.029.
Subtract this from 1: 1 - 0.029 = 0.971.
Raise this to the power of 11: (0.971)^11.
Multiply the result by the initial population of New Haven: 148220 * (0.971)^11.
After performing these calculations, we will get the estimated populations for both the deer and New Haven in the specified years.
A stop sign has 8 equal sides. If each side is 11 inches in length, what is the perimeter of the stop sign?
Factor the quadratic expression Completely; -8x^2-15x+2
Answer:
(x + 2)(-8x + 1) or,
(-8x + 1)(x + 2)
Explanation:
To factor quadratic equations in the form ax² + bx + c that cannot be factored in your head, the first step is to find factors for the product of coefficient a and constant c whose sum equates to coefficient b. This may sound confusing, but it is easier in practice.
So, we find the product of -8 and 2 which is -16.
Now we list the factors of -16. I like to list them as factor pairs. These are:
1, -16, 2, -8, 4, -4, 8, -2, 16, -1
Next, we examine which combination of factor pairs has a sum of -15. These are -16 and 1. To check: -16 + 1 = -15
Then, we place these values as coefficients into the original equation as substitutes for -15x and find factor out the greatest common factor (GCF) of the equation terms:
-8x² - 16x + x + 2
(-8x² - 16x) + (x + 2)
The GCF between -8x² and -16x is -8x. The GCF between x and 2 is 1.
-8x(x + 2) + 1(x + 2)
If these binomials within the parenthesis match, then you have found the factors. The binomial within the parenthesis is one factor and the GCFs outside of each binomial are is the other factor. Thus, the factors of the original quadratic expression are:
(-8x + 1)(x + 2)
To check these factors for accuracy, we can use the FOIL method to expand the expression, combine like terms, and observe if it matches the original equation. FOIL stands for Firsts, Outsides, Insides, and Lasts, instructing which terms of each binomial are multiplied together.
Firsts: -8x(x) = -8x²
Outsides: -8x(2) = -16x
Insides: 1(x) = x
Lasts: 1(2) = 2
In an equation: -8x² - 16x + x + 2 → -8x² - 15x + 2
This is the original equation, therefore (-8x + 1)(x + 2) are accurate factors.
On a map, 0.25 inches represents 1 mile. What is the area of a rectangle on the map that is 3.75 inches long and 2.25 inches wide?
Answer:
135 Square Miles
Step-by-step explanation:
On a map, 0.25 inches represents 1 mile. What is the area of a rectangle on the map that is 3.75 inches long and 2.25 inches wide?
270 square miles
135 square miles
48 square miles
24 square miles
Odyssey
A factory machine produces 5/10 kilograms of chocolate every 1/6 minutes.
At what rate does the machine produce chocolate?
A. 1/3 kg/min
B. 2/5 kg/min
C. 3 kg/min
D. 6 kg/min
Donna wants to draw a right triangle. She wants the hypotenuse to be 1.5 inches long and one of the legs to be 1.2 inches long. Enter the length that she must use for the second leg to form a right triangle.
u=1-3v/vt-w make t the subject
By isolating terms involving 't' and solving for 't', we manage to rearrange the provided equation to get t = (1-u+w)/(3v^2).
Explanation:To rearrange the provided equation u=1-3v/vt-w with t as the subject, we can follow these steps:
Start by isolating terms involving t to one side, i.e., bring all other terms to the opposite side. We get: vt = (1-u+w)/3v.The next step is to solve for t by dividing both sides of the equation by v. Hence, the final rearranged equation is: t = (1-u+w)/(3v2).Learn more about Equation Rearrangement here:https://brainly.com/question/10945620
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please help ...... ............
Find three consecutive integers such that three times the sum of the first two is eight more than 5 times the third.
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Michaela drops a ball vertically from a height of 80 feet. The peak height after each bounce is half the previous height. How far does the ball travel from the time she drops it until it reaches the peak height after the 5th bounce?
155 ft
230 ft
232.5 ft
312.5 ft
In a circle,which ratio is equivalent to pi?
A class of 24 students was asked to identify a team sport in which they have participated. Their responses are shown in the line plot.
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a) The total responses recorded from the line plot is n = 28 responses
b) The number of students polled = 24 students
c) The fact that there were more responses than students polled suggests that one or more students engaged in more than one sport.
What is a line plot ?A line plot is a graph that shows data as points or check marks above a number line, indicating the frequency of each value.
If we need to compare two different groups , a line chart does have one advantage for visualizing frequency distributions
It displays information as a series of data points called 'markers' connected by straight line segments
Given data ,
Let the line plot be represented as A
Now , the total number of students in the class = 24 students
So , the total number of polls = 24 students
The total number of responses recorded from the points on the line plot is give by
The number of responses for football = 4
The number of responses for soccer = 8
The number of responses for baseball = 7
The number of responses for basketball = 5
The number of responses for football = 4
The total number of responses recorded from the points on the line plot is n = 28
Given that there were more replies than students asked, it is likely that some students participated in several sports.
Hence , the line plot is solved
To learn more about line plot click :
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What’s the ratio decimal of
2:3
3:7
3:6
3:8
2:5
3:7
2:4