To solve this problem, we set up a proportion based on the provided information: 132 pounds correlates to 143 milligrams. We then use cross multiplication to find the required dosage for the patient with the weight of 156 pounds, which results to about 169.3 milligrams.
Explanation:The method to solve this issue is to use the concept of proportionality. First, we set up a proportion based on the given information: 132 pounds (patient weight) correlates to 143 milligrams (medicine dosage). Secondly, we could use cross multiplication to find the unknown medicine dosage for the patient weighting 156 pounds. Here's the mathematical process:
Set up the proportion: 132/143 = 156/x Cross multiply: 132*x = 143*156 Solve the equation: x = (143*156)/132
Carrying out the multiplication and division should result in x ≈ 169.3 milligrams. So a patient weighing 156 pounds would require approximately 169.3 milligrams of the medicine.
Learn more about Proportionality here:https://brainly.com/question/32437705
#SPJ11
Find the average rate of change of a function that contains the points (-2,3) and (2,5).
A. -2
B. 1/2
C. -1/2
D. 2
The exterior angles of a triangle measure x + 3, 2x + 1, and 3x - 4. Find the measure of each exterior angle. A) 18°, 31°, and 41° B) 23°, 41°, and 56° C) 33°, 61°, and 86° D) 63°, 121°, and 176°
Answer:
c) 33°, 61°, and 86°
Step-by-step explanation:
because all angels of a triangle sum up to 180*
Find the ending balance: Principal: $600
Interest Rate:5%
Time: 6 Years
Frances wants to paint rectangular wall that has a width of 8 feet and a height of 9 ft.She has a quart of paint that will cover 85 square ft.what is the area of the wall?
How do you fact prime numbers
Final answer:
Factoring prime numbers is not applicable as they are already in their simplest form. In calculations involving exponents with prime numbers, exponent rules can be used to simplify or alter the expression. Understanding these rules empowers you to verify the results and improve your mental math skills.
Explanation:
Prime numbers are the building blocks of the number system, but interestingly, they cannot be factored further since they have only two distinct divisors: one and themselves. Therefore, the concept of factoring prime numbers doesn't apply because they are already in their simplest form. However, when you work with exponents and prime bases, such as in 24 × 10¹², you can manipulate the expression by using exponent rules to simplify or alter its form.
Exponents represent how many instances a base number is multiplied by itself. For example, 10³ equals 10 × 10 × 10, which is 1,000. Similarly, when you see an operation like (53)4, you can multiply the exponents (3 × 4) to understand this as 512, which is 5 multiplied by itself 12 times.
Mastering these concepts avoids confusion and allows for mathematical operations to be performed more readily in your head. Calculators handle these numbers with ease, but understanding the rules lets you confirm the accuracy of your work and can help in developing a life-long skill.
A cell phone provider offers a plan that costs $30 per month plus$0.20 per text message sent or received. A comparable plan costs $60per month but offers unlimited text messaging.
Complete parts a. and b. below.a. How many text messages would have to be sent or received in order for the plans to cost the same each month?In order for the plans to cost the same, 150 text messages would have to be sent or received.(Simplify your answer. Type an integer or a decimal.)b. If you send or receive an average of 5050 text messages each month, which plan would you choose? Why?The plan with ▼ because ▼ than?
text messages are sent or received each month.
Answer:
a.150
Step-by-step explanation:
We are given that a cell phone provider offers a plan that cots $30 per month plus $0.20 per text message sent or received.
A comparable plan costs $60 per month but offers unlimited text messaging.
a.If number of text messages sent or received =150
For I plan
Cost of one text message sent or received per month=$0.20
Cost of plan per month=$30
Costs of 150 text messages sent or received=[tex]0.20\times 150=$30[/tex]
Hence, total costs of plan I =$30+$30=$60
But in II plan no charge for text message and cost of plan per month is $60
Hence, the text messages 150 would have to be sent or received in order for the plans to cost the same each month.
b.If number of text messages =50
Then the cost of messages in plan I=[tex]02.0\times 50[/tex]=$10
Cost of plan I =$30
Total cost of plan I=30+10=$40
But in second plan no charge for text messaging and cost per month is $60.
Therefore, plan I is better than second plan.Because the cost of plan I is less than the cost of second plan per month.
The ratio of napkins to plates in the kitchen was 5 to 2. If there were 70 plates, how many napkins were there?
You have 4 dimes, 5 quarters, and 3 pennies in your pocket. What is the probability of reaching in and randomly picking out a dime or a quarter? Express your answer as a fraction in lowest terms.
The probability of picking a dime or a quarter is 3/4
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, you have 4 dimes, 5 quarters, and 3 pennies in your pocket.
There are a total of 4 + 5 + 3 = 12 coins in your pocket.
The probability of picking a dime or a quarter can be calculated as the sum of the probability of picking a dime and the probability of picking a quarter. Since the coins are selected randomly, each coin has an equal chance of being picked.
The probability of picking a dime is 4/12 or 1/3, since there are 4 dimes in the pocket out of a total of 12 coins.
The probability of picking a quarter is 5/12, since there are 5 quarters in the pocket out of a total of 12 coins.
Therefore, the probability of picking a dime or a quarter is:
P(dime or quarter) = P(dime) + P(quarter)
P(dime or quarter) = 4/12 + 5/12
P(dime or quarter) = 9/12
P(dime or quarter) = 3/4
So the probability of picking a dime or a quarter is 3/4, or three-fourths.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ2
Farrah is 4 years older than 5 times her brother Emil's age. Farrah is 19 years old. Let e represent Emil’s age. During the Strategize step of the five-step problem-solving plan, which expression would you use to represent Farrah’s age? A: 5e + 19 B: 5e + 4 C: e + 19 D: 4e + 5
Answer:
B: 5e + 4
Step-by-step explanation:
B: 5e + 4
Farrah = Emily*5+4
19=E5+4
19-4=E5
E5=15
E=3
Fourteen of the kids in a class are girls. Eight of the kids wear blue shirts. Two of the kids are neither girls nor wear a blue shirt. If five of the kids are girls who wear blue shirts, how many kids are there in the class?
Which statement BEST describes the growth of bacteria modeled by the function f(x) = 1.8x?
A) Bacteria growth increases exponentially.
B) Bacteria growth increases linearly.
C) Bacteria growth is constant.
D) Bacteria growth increases.
Answer:The answer is A
Step-by-step explanation:zz
The growth of bacteria will increase linearly. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The function is given below.
f(x) = 1.8x
The slope is positive. Then the bacteria will grow. And the degree of the equation is one. Thus, the equation is a linear equation.
The growth of bacteria will increase linearly. Then the correct option is B.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ3
math question answer A B C
does the point given below occur on the line shown. Can you show the work please
Me.ford drove 483 miles during his trip. How many hundreds are in this number
Rewrite the expression with parentheses to equal the given value please help number 6 &7
6. Parenthesis around the 6.2 × (6 ÷ 2) + 1 = 4
7. Parenthesis around the 5 + (3 × 2) - 6 = 10
Expression 6:
To get an answer of 4, we need to group the multiplication and division first, before adding 1. Here's how we can rewrite the expression with parentheses:
6.2 × (6 ÷ 2) + 1
Expression 7:
To get an answer of 10, we need to perform the multiplication before the subtraction. Here's how we can rewrite the expression with parentheses:
5 + (3 × 2) - 6
The total charge on 7 particles is −42 units. All the particles have the same charge.
What is the charge on each particle? (1 point)
6 units
5 units
−5 units
−6 units
Your answer would be -6! -42= -6 divided by 7 or 7 X -6= -42
$14.30 watch ; 6 3/4% sales tax
Show work onto something please
I need to know what does untethers mean
What is 1920 divided by 12
Aiko is finding the sum (4 + 5i) + (–3 + 7i). She rewrites the sum as (–3 + 7)i + (4 + 5)i. Which statement explains the mathematical property that she made an error using?
Answer:
Given the expression: [tex](4+5i)+(-3+7i)[/tex]
Aiko rewrites the equation by factoring out the [tex]i[/tex] from the expression and this wrote it as,
[tex](-3+7)i+(4+5)i[/tex]
but this is wrong because [tex]i[/tex] is an imaginary number which is with a number 5 and 7.
Therefore, Aiko cannot factor out the [tex]i[/tex] because it is not present in both numbers -3 and 4
She could rewrote it as
[tex](4-3)+i(5+7)[/tex]
So, she incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.
Melissa and her mom are going on a trip if they travel 238 a day for 8 days how many miles will they travel all together
the quotient of a and c is 8. The product of a and c is 2. The quotient of a and b is -16. The product of a and b is -1. The quotient of b and c is -0.5. What is value of a,b, and c?
To find the values of a, b, and c, we can use the given information and solve the system of equations.
Explanation:To find the values of a, b, and c, we can use the given information and solve the system of equations.
From the first two statements, we have a/c = 8 and a*c = 2. This allows us to solve for a and c.
Similarly, from the next two statements, we have a/b = -16 and a*b = -1. Using these equations, we can find the values of a and b.
Finally, the last statement gives us b/c = -0.5, and we can use this equation to find the value of c.
Substituting the appropriate values for a, b, and c, we find that a = 1, b = 0.0211, and c = -0.0211.
Learn more about Solving systems of equations here:https://brainly.com/question/29050831
#SPJ2
Plot the line for the equation on the graph. y−4=−14(x−5)
Answer:
Hopefully this helps other people! :) I got it right on the test!
A marble is drawn at random from the bag shown below. The bag contains 3 green, 4 yellow, 5 blue, and 8 pink marbles.What is P(not pink)?
Answer: [tex]\dfrac{3}{5}[/tex]
Step-by-step explanation:
Given : The number of pink marbles in bag= 8
Total number of marbles in bag= [tex]4+5+8+3=20[/tex]
Now, the number of marbles that are not pink =[tex]20-8=12[/tex]
We know that the formula to find the probability is :-
[tex]\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Similarly, [tex]\text{P(not pink)}=\dfrac{12}{20}=\dfrac{3}{5}[/tex]
find −3(2.5−k)+0.5(7+8k)
neil has 3 partially full cans of white paint. They contain 1/3 gallion, 1/5 gallion, and 1/2 gallion of paint. about how much paint does neil have in all
Neil has approximately [tex]\( 1 \frac{1}{30} \)[/tex] gallons of white paint in total.
Let's calculate the total amount of paint step by step:
1. Convert fractions to a common denominator:
[tex]- \( \frac{1}{3} \) gallon = \( \frac{10}{30} \) gallons[/tex]
[tex]- \( \frac{1}{5} \) gallon = \( \frac{6}{30} \) gallons[/tex]
[tex]- \( \frac{1}{2} \) gallon = \( \frac{15}{30} \) gallons[/tex]
2. Add the amounts of paint in the cans:
[tex]\( \frac{10}{30} + \frac{6}{30} + \frac{15}{30} = \frac{31}{30} \) gallons[/tex]
3. Simplify the fraction:
[tex]\( \frac{31}{30} = 1 \frac{1}{30} \) gallons[/tex]
Thus, Neil has approximately [tex]\( 1 \frac{1}{30} \)[/tex] gallons of white paint in total.
To find out how much paint Neil has in total, we first converted the fractions to a common denominator of 30 to make them easier to add. This gave us [tex]\( \frac{10}{30} \) gallons, \( \frac{6}{30} \)[/tex] gallons, and [tex]\( \frac{15}{30} \)[/tex] gallons for the three cans, respectively. Adding these fractions together gives[tex]\( \frac{31}{30} \)[/tex] gallons. To simplify, we divide 31 by 30, resulting in[tex]\( 1 \frac{1}{30} \)[/tex] gallons. Thus, Neil has approximately [tex]\( 1 \frac{1}{30} \)[/tex] gallons of white paint in total.
complete question
neil has 3 partially full cans of white paint. They contain 1/3 gallion, 1/5 gallion, and 1/2 gallion of paint. about how much paint does neil have in all
Sofia wants to place a sticker 2 ½ inches long in the center of a switch box that is 3 ¾ inches wide. About how far from the edge will she place the sticker?
zack made this table for his survey? grape 16, orange 10, berry 9, apple 12 how many votes were cast?
The following question has two parts. First, answer part A. Then, answer part B.
Jadyn and Leah were in a fishing tournament. Jadyn's fish weighed 2.120 kilograms. Leah's fish weighed 2.12 kilograms. Part A Jadyn says his fish weighs more because 120 is larger than 12. Is he correct?
Explain your answer. Use place value to support your thinking.
1000 Part B Using the values given, create a correct comparison statement of the weights (in kilograms) using >, <, or = . Math symbols +−×÷(·)[·]=<>≠$°? Previous Next
Answer:
Jadyn's claim is wrong.
Step-by-step explanation:
We are given the following information in the question:
Weight of Jadyn's fish = 2.120
Weight of Leah's fish = 2.12
Jadyn says his fish weighs more because 120 is larger than 12.
Jadyn is incorrect claiming the above fact as:
[tex]2.120 = 2.12\\\\2.120 = \displaystyle\frac{2120}{1000} = \displaystyle\frac{212}{100} = 2.12[/tex]
120 parts out of 1000 are compared to 12 parts of 100 which is equal.
Place value chart:
Place value: Tens Ones . Tenths Hundredths Thousandths
Number 1: 1 2 . 1 2 0
Number 2: 1 2 . 1 2