Final answer:
When both teams work together, they can wrap the gifts with a combined rate of 12/35 of the work per hour. It would take them 35/12 hours, which is approximately 2.92 hours. Rounded to the nearest half-hour, both teams will take about 3 hours to wrap all of the gifts.
Explanation:
To determine the time it would take for both teams of interns to wrap the gifts when working together, we need to add their work rates. Team A can wrap the gifts in 7 hours, which means their rate is 1/7 of the work per hour. Team B can wrap the gifts in 5 hours, giving them a rate of 1/5 of the work per hour.
When combined, the rate at which they can wrap the gifts together is the sum of their individual rates:
Team A's rate: 1/7
Team B's rate: 1/5
Combined rate: 1/7 + 1/5 = 5/35 + 7/35 = 12/35 of the work per hour.
To find out how many hours it will take them to wrap all of the gifts together, we divide the entire job (1) by their combined rate (12/35):
1 / (12/35) = 35/12 hours = 2.9166... hours.
Rounded to the nearest half hour, they would take approximately 3 hours to wrap all of the gifts.
What is the amplitude of the function below?
What are the zeros of the polynomial function?
f(x)=x^2+9x+20
Enter your answers in the boxes.
For a science experiment,Juanita records the height of a plant every day in centimeters.What is the attribute measured in her experiment.
In Juanita's science experiment, the attribute measured is the plant's height, a key phenotypic trait in studying plant growth, which she records in centimeters, using consistent and precise units for scientific reliability.
The attribute measured in Juanita's science experiment is the height of a plant, which is a phenotypic trait important in plant biology. Juanita is collecting data related to plant growth by observing and recording the plant's height in centimeters daily. This meticulous tracking allows for analysis of plant growth patterns over time and the effect of various treatments, such as different fertilizers or amounts of water. The typical unit of measurement for the height of a plant is in centimeters or meters, which are part of the metric system used in scientific research.
During a laboratory experiment like the one Juanita is conducting, it is essential to measure such variables with precision and consistency. Measurements should be recorded using uniform units and methods to ensure reliability in the results, which may include the plant height, recorded in centimeters, at regular intervals. A graph representing this data might portray the number of days since the start of the experiment along the X-axis and the plant's height along the Y-axis, thereby allowing a visual assessment of the plant's growth over time.
What is the center of the circle represented by this equation? x^2 + (y + 9)^2 = 25 A) (3, 5) B) (0, 25) C) (9, 25) D) (0, -9)
Help please!!!! I dont know this.
A bag contains 2 red balls and 18 green balls. A ball is chosen at random from the bag. What is the BEST answer for the probability of drawing a green ball?
Four friends earned $5.20 for washing a car. They shared the money equally. How much did each friend get?
Judy can decorate 6 cakes in 3 hours. Exactly how many cakes can Judy decorate in 3/4 of an hour?
2(Square root 80/5 -5) = ??
Please help and show work! =^-^=
Final answer:
To solve the expression 2(√(80/5) - 5), we simplify the square root first, then subtract 5, and finally multiply by 2, which results in the solution -2.
Explanation:
To solve the expression 2(√(80/5) - 5), let's first simplify the square root and the division inside it.
We have √(80/5) = √16 = 4, since 80 divided by 5 is 16, and the square root of 16 is 4.
Next, we subtract 5 from 4: 4 - 5 = -1.
Finally, we multiply the result by 2: 2 * (-1) = -2.
Therefore, the solution to the expression 2(√(80/5) - 5) is -2.
The answer to the given question is: [tex]\[ 2\left(\frac{\sqrt{80}}{5} - 5\right) = \frac{2\sqrt{80}}{5} - 10 \][/tex]
To solve the expression step by step:
1. First, simplify the square root within the parentheses. The number 80 can be factored into [tex]\( 16 \times 5 \)[/tex], and since [tex]\( \sqrt{16} = 4 \),[/tex] we can rewrite[tex]\( \sqrt{80} \) as \( 4\sqrt{5} \).[/tex]
[tex]\[ 2\left(\frac{4\sqrt{5}}{5} - 5\right) \][/tex]
2. Next, distribute the 2 across the terms inside the parentheses:
[tex]\[ 2 \times \frac{4\sqrt{5}}{5} - 2 \times 5 \][/tex]
3. Simplify each term:
[tex]\[ \frac{8\sqrt{5}}{5} - 10 \][/tex]
4. At this point, we have the simplified form of the expression. However, if we want to combine the terms into a single fraction, we need a common denominator. The second term, -10, can be written as [tex]\( \frac{-10 \times 5}{5}[/tex]) to get the common denominator of 5:
[tex]\[ \frac{8\sqrt{5}}{5} - \frac{50}{5} \][/tex]
5. Now, subtract the two fractions:
[tex]\[ \frac{8\sqrt{5} - 50}{5} \][/tex]
6. This is the final simplified form of the expression. It cannot be simplified further algebraically because [tex]\( 8\sqrt{5} \)[/tex] and 50 do not have common factors other than 1.
Therefore, the final answer is: [tex]\[ \boxed{\frac{8\sqrt{5} - 50}{5}} \][/tex]
[tex]\[ 2\left(\frac{\sqrt{80}}{5} - 5\right) \][/tex]
And the final simplified answer is: [tex]\[ 2\left(\frac{\sqrt{80}}{5} - 5\right) = \frac{2\sqrt{80}}{5} - 10 \][/tex]
what is -6x = -24
13 points
A person earns 26,800 one year and gets a 5% raise in salary. What is the new salary?
The new yearly salary is $28,140.
Explanation:Amount of raise.
5%=0.05
Multiply the original salary times the percentage of the raise.
$26,800×0.05=$1,340
New salary .
$26,800+1,340=$28,140
HOPE THIS HELPS! :)
This question is based on the concept of percentage. Therefore new salary when there is 5% raise in 26,800 is 28,140. There are many uses of calculating percent.
What is percent ?Percent is a proportionate of a number. Percent is a dimensionless quantity that is it has no unit. Percent is always out of hundred whereas fraction is always from 1. It is represented with the sign %. There are many uses of calculating percent. It is used in calculating interest in bank. It used in calculating inflation rate.
Mathematically,
The new yearly salary of a person is 28,140.
percentage of raise in salary is
5%=0.05
Multiply the original salary and the percentage of the raise in salary
26,800×0.05=1,340
New salary =26,800+1,340=28,140
Therefore new salary when there is 5% raise in 26,800 is 28,140
To know more about percent, here:
https://brainly.com/question/1987628
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what is the distance between the two points located at 9,12 and 9,-11
1.3 to the second power
Prime numbers have less 1.than two factors.
2.more than two factors. 3.exactly two factors. 4.less than or equal to two factors.
Answer:
They just have 2 factors :/
Step-by-step explanation:
Bc yes
Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at x = − 8 x=-8 and x = − 4 x=-4 and passes through the point ( 0 , − 7 ) (0,-7) .
The formula for a parabola with roots at x=-8 and x=-4, and which passes through the point (0,-7), is y = -7/32(x + 4)(x + 8).
Explanation:The formula we're looking for is in the form of a quadratic function, generally expressed as
y = ax² + bx + c. Our roots are -8 and -4, which we represent in the factors of the equation as (x + 4) and (x + 8). As coefficients multiply to a, we seek a that makes our function pass through the specific point (0, -7). Thus, we substitute the point into the function giving -7 = a(0+4)(0+8) leading us to a = -7/32. So, the equation of the parabola asked is
y = -7/32(x + 4)(x + 8).
Learn more about Quadratic Function here:https://brainly.com/question/35505962
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Find the trace on the xy-plane of the sphere having center at (−1, 3, −1) and radius 2.
Final answer:
The trace on the xy-plane of a sphere with center (-1, 3, -1) and radius 2 is a circle with center (-1, 3) and radius 2, represented by the equation (x + 1)² + (y - 3)² = 4.
Explanation:
The question asks to find the trace on the xy-plane of the sphere having a center at (-1, 3, -1) and a radius 2.
The trace on the xy-plane of a sphere is essentially the circle that is formed when the sphere intersects the xy-plane.
Since the center of the sphere is (-1, 3, -1), and the sphere intersects the xy-plane (z=0), we keep the x and y coordinates of the center the same for the circle, meaning the center of the circle will be (-1, 3). The radius of the circle remains the same as the sphere, which is 2.
The equation for a circle in the xy-plane with center (h, k) and radius r is given by (x - h)² + (y - k)² = r².
Therefore, plugging in the values for this specific circle gives us the equation (x + 1)² + (y - 3)² = 4.
This equation represents the trace of the sphere on the xy-plane.
If f(x) = −2 + 8, what is f(−1.8)?
Please help me with this question:
Riley made a scale drawing of a triangular clock face. Riley used a scale factor of 3 when making her drawing. If the base and the height of Riley's drawing are 10 centimeters and 15 centimeters respectively, what is the area of the triangular clock face?
A. 75 square centimeters
B. 225 square centimeters
C. 675 square centimeters
D. 2,700 square centimeters
Solve the division problem. Round answer to the nearest hundredth. 9.252.063
A high school has 3636 players on the football team. the summary of the players' weights is given in the box plot. approximately, what is the percentage of players weighing greater than or equal to 194194 pounds?
To calculate the percentage of players weighing 194 pounds or more from a box plot, we need to know where 194 pounds falls in relation to the quartiles on the plot. Without the box plot details, we cannot perform the needed analysis.
The student's question appears to concern the analysis of a box plot depicted in their materials to find the percentage of players weighing 194 pounds or more on a football team. However, to accurately answer this question, we need the specific details from the box plot, including the median (Q2), first quartile (Q1), third quartile (Q3), and any outliers if provided. From the box plot, we would determine where the weight of 194 pounds falls in relation to the quartiles. If 194 pounds is at or above Q3, then you would expect a lower percentage of players above this weight; if it is below Q3, then the percentage could be higher.
The approach typically involves identifying the number of players within each quartile and calculating the corresponding percentages. Without the specific box plot data, we cannot perform these calculations. Should you provide the box plot details, we can review the quartiles and calculate the exact percentage of players weighing 194 pounds or more.
Ben has 1/2 of a loaf of bread if he and his 3 friends share the 1/2 loaf equally how much of the whole loaf does each person get?
The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?
g = –9 and h = 7
g = 9 and h = –3
g = –7 and h = 7
g = 7 and h = 3
Answer:
Its D i just took the test
Step-by-step explanation:
Answer:
D. g=7 and h=3
Step-by-step explanation:
how to solve this word problem
Find the probability of the independent event. 7) if p (e) = 0.9, p (f ∣
e.= 0.36, and e and f are independent, find p (f).
The square footage of a house is 1200 square feet. What type of data is this?
You are deciding on two different designs for envelopes.
a. Which design has the greater area?
The area of the first design is
52 square inches and the area of the second design is
61.375 square inches.
b. You make 500 envelopes using the design with the greater area. Using the same amount of paper, how many more envelopes can you make with the other design?
Please answer part b with the information given.
-A student in need
The area of the two designs are given as 52 square inches and 61.375 square inches.
In these the second design 61.375 square inches is having the greater area.
If 500 envelops are made then area of paper = 61.375x500 =30687.5 square inches.
If envelops having 52 square inches are made out of 30687.5 square inches of paper ,number of envelops made =30687.5 ÷ 52=590.144
590 small envelops can be made having area as 52 square inches.
It is 590-500=90 more than the larger envelops made.
A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
6 in3
24 in3
36 in3
48 in3
The access code for a car's security system consists of sixsix digits. the first digit cannot be zerozero and the last digit must be oddodd. how many different codes are available?
HELP PLEASE , THANK YOU IF YOU DO!!!!
on wednesday, 30 students went to after school tutoring. on thursday, 6 students went. what is the percent decrease in the numbers of students who went to toturing?
Answer:
the number decreased by 80%
Step-by-step explanation:
The percentage change can be computed using ...
percent change = ((new value)/(old value) -1) × 100%
Putting the given numbers into this equation gives ...
percent change = (6/30 -1) × 100% = -4/5 × 100%
percent change = -80%
A negative sign on the percent change means the change was a decrease. The number of students who went to tutoring decreased by 80%.
Answer:
thanks
Step-by-step explanation: