The expression 3(8 + 7) is equivalent to 45. The calculation follows the distributive property rule in mathematics, whereby we first simplify the expression inside the parentheses before multiplication.
Explanation:The mathematical expression of 3(8 + 7) is based on the principle of distribution in mathematics. This principle can be interpreted as 'spread' or 'distribute' and applies when you multiply a number by addends within parentheses.
For the given expression 3(8 + 7), do the operation inside the parentheses first. So 8 + 7 equals 15. Now the expression becomes 3(15).
To find the solution, just multiply 3 by 15, which equals 45. So, 3(8 + 7) is equivalent to 45.
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The social studies teacher is giving a test worth 80 points, and containing 34 questions. There are 2 point and 4 point questions on the test. How many of each type of question are on the test? Show your work. A. List the two equations B. Find each type of question
help find the answer to this question
Solve the equation. 5x + 6 = 2(2x – 3)
The solution to the equation 5x + 6 = 2(2x – 3) is x = -12
The given equation is:
5x + 6 = 2(2x - 3)
Expand the right hand side of the equation using distributive rule
5x + 6 = 4x - 6
Collect like terms
5x - 4x = -6 - 6
Simplify the equation above
x = -12
Therefore, the solution to the equation 5x + 6 = 2(2x – 3) is x = -12
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One weekend, a newsstand sold twice as many Sunday papers as Friday papers. The Sunday paper costs $1.50, and the Friday paper costs $0.75. How many Sunday papers were sold if the newsstand took in $116.25?
Answer:
62
Step-by-step explanation:
If 2m = 4x and 2w = 8x, what is m in terms of w?
Each of a certain type of tire on a 4 wheel car lasts exactly 10,000 miles. How many spare tires of this same variety must carried so that a trip of 15,000 miles can just be completed.
What is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11
Answer:
1. The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is 0.284.
2. The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is 0.531.
Step-by-step explanation:
Let the number of person who is older than 35 years has a hemoglobin level between 9 and 11 be x.
From the given table it is clear that the total number of person who is older than 35 years is 162.
[tex]76+x+40=162[/tex]
[tex]x+116=162[/tex]
[tex]x=162-116[/tex]
[tex]x=46[/tex]
The number of person who is older than 35 years has a hemoglobin level between 9 and 11 is 46.
1.
The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is
[tex]P=\frac{\text{Person who is older than 35 years has a hemoglobin level between 9 and 11}}{\text{Person who is older than 35 years}}[/tex]
[tex]P=\frac{46}{162}\approx 0.284[/tex]
The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is 0.284.
2.
Person who is older than 35 years has a hemoglobin level of 9 and above is
[tex]46+40=86[/tex]
The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is
[tex]P=\frac{\text{Person who is older than 35 years has a hemoglobin level of 9 and above}}{\text{Person who is older than 35 years}}[/tex]
[tex]P=\frac{86}{162}\approx 0.531[/tex]
The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is 0.531.
Answer:
.531
Step-by-step explanation:
Plato
Suppose a tax is added to each flight. dollars is added to every flight, no matter how long it is. the table shows the new data. what happens to the correlation coefficient when a constant is added to each number?
Find the value of x
A 41
B 44
C 46
D 36
In a certain company, 74 employees were hired in the last 5 years. If
this represents 43% of the current number of employees, then how
many current employees does the company have?
- list the steps please & thank you!
To find the total number of employees in the company, set up and solve the equation, 0.43 * X = 74. Solving this provides approximately 172 employees
Explanation:In order to answer this question, we need to use the concept of percentages. Here are the steps:
Since we know 74 employees represent 43% of all employees, we set up the equation: 0.43 * X = 74, where X is the total number of employees in the company. Solving the equation for X leads us to the answer. We divide both sides of the equation by 0.43, which gives us X = 74/0.43. Calculating the right side of the equation, we find X is approximately 172, so there are approximately 172 employees in the company. Learn more about Percentages here:https://brainly.com/question/29306119
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How do you convert numbers to percents
Here are the scores of 17 students on a history test. 62, 65, 66, 67, 67, 76, 77, 78, 79, 80, 86, 88, 88, 89, 90, 91, 92 Notice that the scores are ordered from least to greatest. Make a box-and-whisker plot for the data.
Breanna works in the mall and her hours increase during busy shopping times of the year. Breanna has a plan to save $25 each week for 5 weeks, and then increase that amount by $20 for the next 7 weeks during the busy time, then go back to $25 per week. If Breanna’s plan is to save $540, how many weeks total will she need to save?
a.
11 weeks
b.
16 weeks
c.
22 weeks
d.
23 weeks
Answer:
Number of weeks Breanna saves are 16 weeks .
Option (b) is correct .
Step-by-step explanation:
As given
Breanna works in the mall and her hours increase during busy shopping times of the year.
Breanna has a plan to save $25 each week for 5 weeks.
Thus
Breanna saves in first 5 weeks = Amount saves per weeks in next 5 weeks × Number of weeks .
= $25 × 5
= $ 125
Increase that amount by $20 for the next 7 weeks during the busy time.
Thus
Amount saves per weeks for next 7 weeks = Amount saves per weeks in first 5 weeks + Increase in amount .
= $25 +$ 20
= $ 45
Breanna saves in next 7 weeks = Amount saves per week× Number of weeks .
Put all the values in the above
= $45 × 7
= $ 315
As given
Breanna saves $25 per week.
If Breanna’s plan is to save $540 .
Let us assume last weeks in which Breanna saves $25 per weeks be x .
Breanna saves in last x weeks = Amount saves for next x weeks × Number of weeks .
= 25 × x
= 25x
Equation becomes
Breanna saves in first 5 weeks + Breanna saves in next 7 weeks + Breanna saves in last x weeks = Total saving amount .
125 + 315 + 25x = 540
440 + 25x = 540
25x = 540 - 440
25x = 100
[tex]x = \frac{100}{25}[/tex]
x = 4 weeks
Thus
Total number of weeks Breanna saves = 5 weeks + 7 weeks + 4 weeks
= 16 weeks
Therefore the number of weeks Breanna saves are 16 weeks .
Option (b) is correct .
D=6.3cm what is the circumference and area of the circle
Question help a robotic rover on mars finds a spherical rock with a diameter of 1313 centimeters. the rover picks up the rock and lifts it 1515 centimeters straight up. the rock has a specific gravity of 5.255.25. the gravitational acceleration on mars is 3.73.7 meters per second squared. if the robot's lifting arm has an efficiency of 3535% and required 1212 seconds to raise the rock 1515 centimeters, how much power (in watts) did the arm use?
A sofa is on sale for 26% off. The sale price is $629 . What is the regular price?
PLEASE HELP !!! HURRY!! Given m || n, find x.
4x+35 + 5x-8 = 180
9x +27 =180
9x =153
x=153/9 = 17
x = 17
Suppose that an individual has a body fat percentage of 17.9% and weighs 132 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.
What is the future value of $845 a year for seven years at an interest rate of 11.3 percent? $6,683.95 $6,075.69 $8,343.51 $8,001.38 $8,801.91?
What is the solution to the equation 0.8m − 4 = −0.8m?
simplify the expression by using a double angle formula
cos^2 4theta-sin^2 4theta
Find the number of permutations of 8 things taken 5 at a time. 40,320 6,720 336
The number of permutations of 8 things taken 5 at a time is calculated using the formula P(n, k) = n! / (n-k)!, resulting in 6,720 possible permutations.
Explanation:To find the number of permutations of 8 things taken 5 at a time, we use the formula for permutations, which is:
P(n, k) = n! / (n-k)! where n is the total number of items, and k is the number of items to be chosen.
In this case, n=8 and k=5. Using the formula, we get:
P(8, 5) = 8! / (8-5)! = 8! / 3! = (8 × 7 × 6 × 5 × 4) / (3 × 2 × 1) = 6720.
So, the number of permutations of 8 things taken 5 at a time is 6,720.
Help Please question in the file.
The circumference of a circle is 6.28. What is the area of the circle.
Describe the relationship between the similarity ratio of two triangles and the ratio of their areas.
Given a positive integer n, assign true to is_prime if n has no factors other than 1 and itself. (remember, m is a factor of n if m divides n evenly.)
Below is the solution of assign true to is_prime if n has no factors other than 1 and itself.
Further explanationPython is an interpreted, high-level, general-purpose programming language. Python is created by Guido van Rossum and first released in 1991. Its design philosophy emphasizes code readability. Python is a more productive language than Java because it is an interpretive language which is accompanied by elegant syntax and it makes an excellent choice for scripting and rapid application development in many areas. Python is a general-purpose, versatile and popular because it is concise and easy to read, and it is also a good language to have in any programmer’s stack as it can be used for everything such as web development, software development, data science applications.
Given a positive integer n, assign true to is_prime if n has no factors other than 1 and itself. And remember, m is a factor of n if m divides n evenly. So:
if n == 2:
is_prime = True
elif n % 2 == 0:
is_prime = False
else:
is_prime = True
for m in range (3, int(n**0.5)+1, 2):
if n % m == 0:
is_prime = False
Learn moreLearn more about python https://brainly.com/question/4331067Learn more about python IDLE or similar environment https://brainly.com/question/6280029Learn more about python function https://brainly.com/question/9806744Answer details
Grade: 9
Subject: mathematics
Chapter: python
Keywords: python, integer, factors, python IDLE, is_prime
Say a certain manufacturing industry has 63.1 thousand jobs in 2008, but is expected to decline at an average annual rate of 1.7 thousand jobs per year from 2008 to 2018. Assuming this holds true, what will be this industry’s percent change from 2008 to 2018? a. 70% b. -27% c. -17% d. -75%
Using linear function concepts, it is found that the industry’s percent change from 2008 to 2018 will be of:
b. -27%
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem:
The industry had 63.1 thousand jobs in 2008, hence b = 63.1.This number is expected to decline at an average annual rate of 1.7 thousand jobs per year from 2008 to 2018, hence m = -1.7.Thus, the function is:
y = -1.7x + 63.1.
In 2018, which is 10 years after 2008, the value of the function is:
y(10) = -1.7(10) + 63.1 = 46.1.
The percent change is given by the change divided by the initial value, hence:
(46.1 - 63.1)/63.1 = -27%
Hence option b is correct.
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The correct answer is b. -27%.
To solve this problem, we need to find the number of jobs in 2018 and then calculate the percent change from 2008 to 2018.
Given information:
- Number of jobs in 2008: 63.1 thousand
- Average annual rate of decline: 1.7 thousand jobs per year
- Time period: 2008 to 2018 (10 years)
Step 1: Find the total decline in jobs from 2008 to 2018.
Total decline in jobs = Average annual rate of decline × Number of years
Total decline in jobs = 1.7 thousand × 10 years = 17 thousand jobs
Step 2: Find the number of jobs in 2018.
Number of jobs in 2018 = Number of jobs in 2008 - Total decline in jobs
Number of jobs in 2018 = 63.1 thousand - 17 thousand = 46.1 thousand jobs
Step 3: Calculate the percent change from 2008 to 2018.
Percent change = (Change in value / Original value) × 100%
Percent change = ((46.1 - 63.1) / 63.1) × 100%
Percent change = (-17 / 63.1) × 100%
Percent change ≈ -27%
Therefore, the industry's percent change from 2008 to 2018 is approximately -27%.
Number of jobs in 2018 = [tex]46.1\text{ thousand} \\[/tex]
Percent change from 2008 to 2018 = [tex]-27\%[/tex]
The radius of the circle whose equation is (x + 4)² + (y - 2)² = 36 is 36 18 6
A pizza parlor sold 38 1/8 pizzas during a dinner hour. If each pizza contained 8 slices, how many slices of pizza were sold?
38*8 = 304
304 + 1 =305 slices were sold
Coffee with sugar and milk added to it can contain up to calories. To consume a maximum of 600 mg if caffeine per day, how many full eight-ounce servings of a name-brand coffee with 330 mg of caffeine per 16-ounce serving could someone drink in a day and still stay below this limit? full 8-ounce servings
Answer:
A) 500
B) 3
Right on edge
Step-by-step explanation: