Answers
The steps that should be followed in order to solve the inequality statement -3t + 7 ≥ 9 include the following: B. subtract 7, divide by -3, and flip the inequality symbol.
What is an inequality?In Mathematics and Geometry, an inequality is a relation that compares two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Based on the information provided above, we have the following equation (inequality);
-3t + 7 ≥ 9
By subtracting 7 from both sides of the equation (inequality), we have;
-3t + 7 - 7 ≥ 9 - 7
-3t ≥ 2
By dividing both sides of the equation (inequality) by -3, we have;
t ≥ 2/-3
t ≤ 2/3 (flip the inequality symbol).
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Related Questions
1. Solve and show your work for each question.
(a) What is 0.36-- (line on 3&6) expressed as a fraction in simplest form?
(b) What is 0.36- (line on 6) expressed as a fraction in simplest form?
(c) What is 0.36 expressed as a fraction in simplest form?
Answers
The decimal 0.36 can be represented as a fraction in simplest form as 9/25. It can also be expressed as a repeating decimal using a variable.
a) 0.36 can be represented as a fraction in simplest form by using place value to identify the denominator. The number 3 is in the hundredths place value position.
Thus, the denominator is 100. 36 is in the numerator position.
Therefore, 0.36 in fraction form is 36/100 which simplifies to 9/25.
b) 0.36 can be represented as a fraction in simplest form by identifying the denominator based on place value.
In this case, 6 is in the thousandths place value position, so the denominator is 1000. 36 is in the numerator position. Thus, 0.36 in fraction form is 36/1000 which can be simplified to 9/250.
c) To write 0.36 as a fraction in simplest form, the place value of each digit needs to be considered. 3 is in the tenths place value position and 6 is in the hundredths place value position.
Therefore, 0.36 in fraction form is 36/100 which simplifies to 9/25.The decimal 0.36 can be represented in fraction form as 36/100 or 9/25.
To determine the fraction in simplest form, the denominator must be reduced to its lowest possible value without changing the numerator. The decimal 0.36 with a line on top of 3 and 6 represents a repeating decimal.
To express this number as a fraction, a variable is used.
In this case, the variable x is equivalent to 0.36. By setting up a proportion and solving for x, the answer can be found.
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Determine the following estimate without using a calculator. Then use a calculator to perform the computation necessary to obtain an exact answer. How reasonable is your estimate when compared to the actual answer? Estimate the total cost of six grocery items if their prices are , , , , , and , by rounding each price to the nearest dollar and then adding.
Answers
a.
The estimated total cost of the grocery items is $36.
b.
The actual total cost of the grocery items is $35.82.
How do we calculate?for part a.
We will round each price to the nearest dollar:
$5.12 = $5
$3.07 = $3
$7.11 = $7
$1.67 = $2
$13.18= $13
$5.67 = $6
Summing them up, we have:
$5 + $3 + $7 + $2 + $13 + $6 = $36
the estimated total cost of the grocery items is $36.
for part b.
We will calculate the actual total cost of the grocery items by using a calculator:
$5.12 + $3.07 + $7.11 + $1.67 + $13.18 + $5.67 = $35.82
In conclusion, we will find the actual total cost of the grocery items as $35.82.
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20 26 28 25 28 18 23 15 17 26 29 24 29
29 17 15 17 20 30 29 16 21 22 28 19
Find Q1
Find Q2
Find Q3
Find the minimum and maximum value,
Answers
Based on the information, the minimum value is 15, and the maximum value is 30.
How to calculate the valueTo find Q1: Calculate the position of Q1 using the formula: Position = (n + 1) * (Q / 100), where n is the total number of values and Q is the desired percentile (25).
Position = (22 + 1) * (25 / 100) = 5.75 (rounded to 6)
Take the average of the values at positions 6 and 7 to find Q1.
Q1 = (18 + 19) / 2 = 18.5
To find Q2 (the median): Calculate the position of Q2 using the formula: Position = (n + 1) * (Q / 100), where n is the total number of values and Q is the desired percentile (50).
Position = (22 + 1) * (50 / 100)
= 11.5 (rounded to 12)
The value at position 12 is the median.
Q2 = 21
To find Q3: Calculate the position of Q3 using the formula: Position = (n + 1) * (Q / 100), where n is the total number of values and Q is the desired percentile (75).
Position = (22 + 1) * (75 / 100) = 16.5 (rounded to 17)
Take the average of the values at positions 17 and 18 to find Q3.
Q3 = (28 + 29) / 2 = 28.5
The minimum value is 15, and the maximum value is 30.
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Help thanks asapjhshd
Answers
A graph that represents the absolute function f(x) = |x + 4| - 3 is shown on the coordinate plane attached below.
What is an absolute value function?In Mathematics and Geometry, an absolute value function is a type of function that contains an expression, which is placed within absolute value symbols, and it measures the distance of a point on the x-axis to the x-origin (0) of a graph.
By critically observing the transformed absolute value function f(x) = |x + 4| - 3, we can reasonably infer and logically deduce that the parent absolute value function g(x) = |x| was vertically shifted (translated) downward by 3 units and horizontally shifted (translated) to the left by 4 units, in order to produce it as follows;
g(x) = |x|
f(x) = |x + h| - k
f(x) = |x + 4| - 3
In conclusion, we would use an online graphing tool to plot the given absolute value function f(x) = |x + 4| - 3 as shown in the graph attached below.
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A league is a nautical measurement equal to about 3 miles. If a ship travels 2,000 leagues, about how many miles does the ship travel?
Answers
Answer: 600000
Step-by-step explanation: just multiply it man
50 POINTS, pls hurry
Answers
Answer: it stand for 3 million or 3,000,000
Step-by-step explanation:
Answer:
million
Step-by-step explanation:
millions always have six 0's behind it
Explain the process you would use to find the area of the shaded region. Then calculate the shaded region.
You may leave your answer in terms of m or round to the nearest tenth.
Answers
Given statement solution is :- To find the area of the shaded region, we first need to determine the shapes involved and their respective areas. A general process that you can apply to various scenarios, Identify the shapes , Break down the region, Calculate individual areas.
To find the area of the shaded region, we first need to determine the shapes involved and their respective areas. Without a specific diagram or description, I'll provide a general process that you can apply to various scenarios.
Identify the shapes: Examine the diagram and determine the shapes that make up the shaded region. These shapes can include rectangles, triangles, circles, or combinations of them.
Break down the region: If the shaded region consists of multiple shapes, break it down into simpler, recognizable shapes. This step is crucial for accurately calculating the total area.
Calculate individual areas: Determine the area of each shape by using the appropriate formulas. Here are some common formulas:
Rectangle: Area = length × width
Triangle: Area = (base × height) / 2
Circle: Area = π × radius²
Sum the individual areas: Add up the areas of all the individual shapes to find the total area of the shaded region.
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At a certain college, 49% of the students are male and 51% are female. In addition, 20% of the men and
10% of the women are taking Japanese classes. The student is selected at random. If the selected student
attends Japanese lessons, what is the probability that the student is female?
Answers
Answer:
0.339, or approximately 33.9%
Step-by-step explanation:
We can solve this problem using Bayes' theorem. Let F denote the event that the selected student is female, and J denote the event that the selected student is taking Japanese classes. We want to find the probability of F given J, which we can write as P(F|J).
Using the law of total probability, we can decompose the probability of J as follows:
P(J) = P(J|F)P(F) + P(J|M)P(M)
where M denotes the event that the selected student is male. We can calculate the probabilities on the right-hand side of this equation as follows:
P(J|F) = 0.1 (from the problem statement)
P(F) = 0.51 (from the problem statement)
P(J|M) = 0.2 (from the problem statement)
P(M) = 0.49 (from the problem statement)
Plugging in these values, we get:
P(J) = 0.10.51 + 0.20.49 = 0.149
Now we can use Bayes' theorem to find P(F|J):
P(F|J) = P(J|F)P(F) / P(J)
Plugging in the values we calculated earlier, we get:
P(F|J) = 0.1*0.51 / 0.149 = 0.339
Therefore, the probability that the selected student is female given that they attend Japanese classes is 0.339, or approximately 33.9%.
Hope this helps!
