Answer:
4; 7
Step-by-step explanation:
Small box = 25 and Large box = 50
small box = x and large box = x+3
25x+50(x+3)=450
25x+50x+150=450
75x=300
x=4
Large box = 4+3 = 7
Therefore, 4; 7
I hope this helped and have a good rest of your day!
DIRECTIONS: Find the area of the shaded region.
The physician’s order reads to administer Lasix 80 mg PO STAT. You have Lasix 20 mg tablets on hand. How many tablets will you administer to the patient ?
The nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.
To determine the number of Lasix 20 mg tablets that should be administered to the patient, we need to calculate how many tablets are equivalent to the prescribed dose of 80 mg.
Given that each Lasix tablet contains 20 mg of the medication, we can divide the prescribed dose (80 mg) by the dosage strength of each tablet (20 mg) to find the number of tablets needed.
Number of tablets = Prescribed dose / Dosage strength per tablet
Number of tablets = 80 mg / 20 mg
Number of tablets = 4 tablets
Therefore, the nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.
It is important to note that this calculation assumes that the Lasix tablets can be divided or split if necessary. However, it is crucial to follow the specific instructions provided by the prescribing physician or consult with a pharmacist if there are any concerns about the appropriate administration of the medication.
Additionally, it is important to consider any additional instructions, such as the frequency and timing of administration, as specified by the physician's order.
For more such questions on administer visit:
https://brainly.com/question/29458949
#SPJ8
The British government on Thursday estimated the cost of
hosting the 2012 Olympics in London at 9.3 billion pounds,
nearly four times initial projections. When Britain won the
Olympics in 2005, the Games were expected to cost 2.4 billion
pounds.
Actually, the projections increased by
percent,
not 400%.
the Olympics in 2005, the were expected to cost 2.4 billion pounds. What was the actual increase?
The actual increase in the cost to host the Olympics is 287.50%.
What are percentages?
Percentage is the fraction out of an amount expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to represent percentages is %.
What was the percentage increase?Percentage increase = (increase in cost / initial cost) x 100
Increase in cost = 9.3 billion - 2.4 billion = 6.9 billion
Percentage increase = (6.9 / 2.4) x 100 = 287.50%
To learn more about percentages, please check: https://brainly.com/question/25764815
convert 1 over 2 as equivalent fraction with a denominator of 100
Answer:
1 half or 1/2 is also 50/100 divide 100 by 2 and get 50
Step-by-step explanation:
You are beautiful. You are amazing. You are wonderful. You are perfect just the way you are. Never worry about the way people think about you. Only worry if you like you. You are the most important person to yourself. Just be yourself. No can tell you who you can be. You are truly perfect just the way you are. Never tell yourself you are not good enough, you are enough. Never tell yourself "I'm ugly" you are beautiful. Never let yourself down.
Answer:
\(\frac{1}{2}\) = \(\frac{50}{100}\)
Explanation:
100/2 = 50
2 · 50 = 100 (denominator)
1 · 50 = 50
What is the midpoint of the line segment with the given endpoints (4,6) (3,-3)
Help it’s urgent
The coordinates of the midpoints of the given line segment is:
(3.5, 1.5)
How to find the midpoints of a line segment?The midpoint of a line segment is simply referred to as the center of that specific line segment.
Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.
The coordinates of the endpoints of the line are:
(4,6) and (3,-3)
The formula to find the coordinates of the midpoint of the line is:
(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Thus, we have:
(x, y) = (4 + 3)/2, (6 - 3)/2
= (3.5, 1.5)
Read more about Midpoint of Line segment at: https://brainly.com/question/896396
#SPJ1
v fewer than 313 is 50
Answer:
v = 263
Step-by-step explanation:
313 - v = 50
313 - 50 = v
313 - 50 = 263
If 15% of the customers total is $98,880, then the sum total equals what
The sum total by the given data is equals to $658,880.
We are given that;
Percent=15%
Amount= $98,880
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
To divide by a percentage, we can convert it to a decimal by moving the decimal point two places to the left. This gives us:
15% = 0.15
To divide by 0.15, we can multiply by its reciprocal, which is 1/0.15. This gives us:
$98,880 / 0.15 = $98,880 x 1/0.15
To multiply by 100, we can move the decimal point two places to the right. This gives us:
$98,880 x 1/0.15 x 100 = $658,880
Therefore, by the percentage the answer will be $658,880.
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ1
Determine which relation is a function.
A: {(–3, 2), (–1, 3), (–1, 2), (0, 4), (1, 1)}
B: {(–3, 2), (–2, 3), (–1, 1), (0, 4), (0, 1)}
C: {(–3, 3), (–2, 3), (–1, 1), (0, 4), (0, 1)}
D: {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)}
The relation that is a function is D: {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)}.
What is a relation?A function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In other words, for a relation to be a function, each input can only be related to one output.
In relation D, each input (x-value) has a unique output (y-value), meaning that each x-value is only paired with one y-value. In contrast, relations A, B, and C have repeated x-values with different y-values, which means that they are not functions.
In relation A, the input -1 is paired with two different outputs (2 and 3). In relation B, both inputs 0 and -1 are each paired with two different outputs. In relation C, both inputs 0 and -3 are each paired with two different outputs. Therefore, only relation D satisfies the definition of a function.
More on relation can be found here: https://brainly.com/question/18790700
#SPJ1
Use the Theorem of Pappus to find the volume of the solid formed by revolving the region bounded by the graphs ofy=x, y=10, and x=0 about the x-axis.Round your answer to two decimal places.a.) 1809.56b.) 2787.64c.) 2094.40d.) 3141.59e.) 3619.11
Answer:
C) 2094.40
nearest answer.
Step-by-step explanation:
Since the given region is bounded by y = x, y = 10 and x = 0
⇒ 0 ≤ y ≤ 10
Radius and Height are 'y'
∴ The required volume
= ∫₀¹⁰2π(radius)(height)dy
= ∫₀¹⁰2π (y) (y) dy
= ∫₀¹⁰2π y² dy
= 2π ∫₀¹⁰ y² dy
Integrate y
= \(2\pi [\frac{y^3}{3}]_0^{10}\)
= \(2\pi [\frac{10^3}{3} - 0]\)
= \(\frac{2000}{3} \pi\)
where π is 3.142
= 2,094.66
Of the 2254 students at a liberal arts college, 257 are fifth year students. Among a sample of 321 of the students from this college, 257are fifth year students. Find the sample proportion of fifth year students, rounded to two decimal places as needed.
Answer:ifk
Step-by-step explanation:
Which of the following is a solution to the given equation? y = -3x - 7
Answer:y = 3(-2) - 7
Step-by-step explanation:
Claim: Fewer than 98% of adults have a cell phone. In a reputable poll of 1062 adults,90 % said that they have a cell phone. Find the value of the test statistic.
The value of the test statistic is -18.62.
What is the value of the test statistic?In order to get value of the test statistic, we need to perform a hypothesis test.
Lets assume null hypothesis is 98% of adults have a cell phone and alternative hypothesis is that fewer than 98% of adults have a cell phone.
Using one-tailed z-test with significance level of 0.05, we will get test statistic with formula: z = (p - p) / sqrt(p * (1 - p) / n)
p = (0.90), p = (0.98 and n = (1062).
Plugging the values, we get:
z = (0.90 - 0.98) / sqrt(0.98 * (1 - 0.98) / 1062)
z = (0.90 - 0.98) /sqrt(0.00001845574)
z = (0.90 - 0.98) / 0.00429601443
z = -18.6219113794
z = -18.62
Read more about test statistic
brainly.com/question/17097944
#SPJ1
Determine the total surface area and volume of each figure.
The total surface area of solid is,
S = 220 m²
And, The volume of the prism is, 200 m³
We have to given that;
A solid prism is shown in figure.
Since, The surface area of a prism is,
S = (2 × Base Area) + (Base perimeter × height)
Where, "S" is the surface area of the prism.
Hence, We get;
base area = 5 x 10 = 50 m²
height = 4 m
Base Perimeter = 2 (5 + 10) = 30
Hence, We get;
S = (2 x 50) + (30 x 4)
S = 100 + 120
S = 220 m²
Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;
V = base area × height.
Now, For given figure,
Volume of the prism = base area × height
base area = 5 x 10 = 50 m²
height = 4 m
Hence, Volume = 50 × 4 m³
= 200 m³
Thus, The volume of the prism is, 200 m³
To learn more about the volume visit:
brainly.com/question/24372707
#SPJ1
The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition. How many boys participated?
Responses
A 3535
B 4949
C 3030
D 28
Answer: 28
Step-by-step explanation: the other responses seem too much and do you know if the girls are 7 and the boys are 5?
p(5)=
p(1 or 2)=
p(odd number)=
p(not 6)=
p(even number)=
p(1,2,3,or 4)=
The probabilities, we need to understand the context. Assuming we are working with a fair six-sided die, where each face has an equal chance of landing, here are the probabilities:
P(5): Since there is only one face with a value of 5 on the die, the probability of rolling a 5 is 1/6.P(1 or 2): There are two faces with the values 1 and 2 respectively. Since these are mutually exclusive events (you can only roll one of them at a time), the probability of rolling a 1 or a 2 is 2/6, which simplifies to 1/3.P(odd number): Out of the six faces, three are odd numbers (1, 3, and 5). So, the probability of rolling an odd number is 3/6, which simplifies to 1/2.P(not 6): Since there is only one face with a value of 6, the probability of not rolling a 6 is 5/6.P(even number): Out of the six faces, three are even numbers (2, 4, and 6). So, the probability of rolling an even number is 3/6, which simplifies to 1/2.P(1, 2, 3, or 4): There are four faces with the values 1, 2, 3, and 4. Therefore, the probability of rolling any of these numbers is 4/6, which simplifies to 2/3.For such more questions on probability
https://brainly.com/question/30390037
#SPJ8
Which statement describes the relationship between x
and y?
As x increases, y decreases.
QAs x increases, y increases.
O As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answer:
1.) inverse proportion : 1kx = y
2) direct proportion. y = kx
Often the pay for a sales position is based on _______________________.
Group of answer choices
commission
salary
hourly rate
Answer:
Often the pay for a sales position is based on commission.
Step-by-step explanation:
which of the following is equivalent to 3(5+2i)-2(3-6i)^2
Answer:
can u show me which following?
Step-by-step explanation:
show like (a, (b or something like that because it says *following and i think that it should have something like that ;-;
The coordinates of QRS are Q(4, 3), R(7,3), and S(6,8). If you translate QRS 4 units to the left and 3 units up, what are the coordinates of S'? (___,___)
Determine the percentile of 6.2 using the following data set.
4.2 4.6 5.1 6.2 6.3 6.6 6.7 6.8 7.1 7.2
Your answer should be an exact numerical value.
The percentile of 6.2 is |
%.
The percentile of 6.2 in the given data set is 40%.
To determine the percentile of 6.2 in the given data set, we can use the following steps:
Arrange the data set in ascending order:
4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2
Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.
Calculate the percentile using the formula:
Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100
In this case, the percentile of 6.2 can be calculated as:
Percentile = (4 / 10) × 100 = 40%
The percentile of 6.2 in the sample data set is therefore 40%.
for such more question on percentile
https://brainly.com/question/24877689
#SPJ8
let p be a point chosen uniformly at random in the interior of the unit square with vertices at (0, 0),(1, 0),(1, 1), and (0, 1). the probability that the slope of the line determined by p and the point 5 8 , 3 8 is greater than or equal to 1 2 can be written as m n , where m and n are relatively prime positive integers. find m n
The probability that the slope of the line determined by p and the point (5/8, 3/8) is greater than or equal to 1/2 is 5/8.
Let the coordinates of point p be (x,y). Then, the slope of the line determined by p and the point (5/8, 3/8) is:
(slope) = (y - 3/8)/(x - 5/8)For the slope to be greater than or equal to 1/2, we must have:
(y - 3/8)/(x - 5/8) >= 1/2Solving for y, we get:
y >= (x/2) + 7/16Graphing this inequality on the unit square, we see that the region satisfying this inequality is a trapezoid with vertices (5/8,3/8), (1,1/2), (1,1), and (3/4,1).
The area of this trapezoid is (1/2)*((5/8 - 3/4) + (1 - 5/8) + (1 - 1/2) + (3/8 - 3/16)) = 5/16.
The area of the unit square is 1, so the probability we seek is 5/16.
Hence, the answer is 5/16 written as a fraction in its simplest form, which is 5/16.
Learn more about Probability:
https://brainly.com/question/24756209
#SPJ4
Classwork
1. A plane flew at a constant speed between Denver and Chicago. It took the
plane 1.5 hours to fly 915 miles. Complete the table.
Time in Hours (x)
Distance in Miles (y)
Constant (3)
1
1.5
915
2
2.5
Hint - Find the constant of proportionality first (y/x=k).
Answer:
Time in hours (x) ==> distance in miles (y)
1 ==> 610
2 ==> 1,220
2.5 ==> 1,525
Note: constant of proportionality is same all through = 610
Step-by-step explanation:
Constant of proportionality = \( \frac{y}{x} = \frac{915}{1.5} = 610 \)
To get the y-values (miles) for each given x-value (hours), multiply each x-value by the constant of proportionality, 610. Constant of proportionality is same all through.
Thus,
Time in hours (x) ==> distance in miles (y)
1 ==> 1*610 = 610
2 ==> 2*610 = 1,220
2.5 ==> 2.5*610 = 1,525
Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
Learn more about functions at: https://brainly.com/question/11624077
#SPJ1
This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
Solve each system using substitution or additions
(elimination).
-x+2y=-1
5x-10y=6
Answer:
Step-by-step explanation:
L1 -x + 2y = -1
L2 5x - 10y = 6
-x + 2y = - 1 multiply by -1
x - 2y = 1 multiply by 5
5x - 10y = 5 is similar that 5x - 10y = 6
The system has no solution
Can I have some help
Convert 4 and 3/16 into a decimal then round to the nearest tenths place
Answer:
4.2
Step-by-step explanation:
so first you take your whole number 4 put it away. Then do 3/16 which when rounded is 0.2. bring back the 4 and you have 4.2 have a good day
0.6666666……… as a percentage
Answer:
2/3
Step-by-step explanation:
Answer: 66.66%
Step-by-step explanation: You multiply 0.66666... by 100 and that gives you 66.66
The average cost of an item is defined as the total cost to produce divided by the number produced.A shoe company that pays $240,000 in rent and employee salaries per year figures it also must pay $3.50 in materials per shoe set it produces Write the equation needed to solve the problem. Use the equation to find the number of shoe sets the company would need to produce for the average cost of each set to be $7.50. Work out the problem, show all of your steps, and provide explanations.
Answer:
Step-by-step explanation:
Average cost = Total cost to produce / number of items produced
Fixed cost per year = $240,000
Variable cost = $3.50s
Where s = number of shoes produced
Total cost= fixed cost + variable cost
Total cost = $240,000 + $3.50s
When average cost = $7.50
Average cost = Total cost to produce / number of items produced
7.50 = $240,000 + $3.50s / s
Cross product
7.50s = $240,000 + $3.50s
Collect like terms
7.50s - 3.50s = 240,000
4s = 240,000
divide both sides by 4
s = 240,000 / 4
= 80,000
s = 80,000