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Four whole numbers are each rounded to the nearest 10
The sum of the four rounded numbers is 90
What is the maximum possible sum of the original four numbers?
Answers
The maximum amount of the original four numbers is 110.
What is the whole number?
A whole number is simply any positive number that does not include a fractional or decimal part. This means that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 are all whole numbers.
Four whole numbers are each rounded to the nearest 10, which means each number can go +5 or -5.
The sum of the rounded numbers is 90, the maximum amount of the original four numbers is if +5 are added with each 4 original number.
So each number would have an extra +5.
And then the maximum number is 90 + (5 x 4) is equal to 110.
Or if the rounded-up no. were 10, 20, 30, 30.
The sum of these numbers is 90.
They can go up to 15,25,35,35.
So the sum of this is 110.
Hence, the maximum possible sum of the original four numbers is 110.
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Related Questions
The following bar chart shows the distances run by Jay's family in a race.
Find the median distance in km.
Answers
The median of the distances is M = 6.5 kilometers
Given data ,
To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.
Arranging the given set of numbers in ascending order: {4, 5, 8, 11}
Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:
(5 + 8) / 2 = 13 / 2 = 6.5
Hence , the median of the given set {4, 5, 8, 11} is 6.5
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If f(1) = 9 and f(n) = -4f(n-1) + 4 then find the value of f(3).
Answers
Answer:
132
Step-by-step explanation:
f(1) = 9
f(n) = -4f(n-1) + 4
Let n = 2
f(2) = -4f(2-1) + 4 = -4 f(1) +4 = -4(9) +4 = -36+4 = -32
Let n = 3
f(3) = -4f(2-1) + 4 =-4f(2)+4 = -4 (-32) +4 = 128+4=132
Hello help hhhhhhhhhhhhhhhhweeeeeeeeeeeelllllllllllllllppppppppppp
Answers
Answer:
Hello! answer: u = 16
Step-by-step explanation:
Its 16 Because 176 ÷ 11 = 16
Answer:
It would be 16 because when you divided 11 by 176 it would be 16
What is the value of u?
Answers
Answer:
66-26 = 40
Step-by-step explanation:
u = 40 degrees
Your town has a park at points (-9,-9), (-3,-9) and (-6,-5). What is the area of the park?
Answers
The area of the park is 12 square units.
To find the area of the park, we can use the Shoelace Formula (also known as Gauss's area formula). This formula allows us to calculate the area of any polygon given the coordinates of its vertices.
The Shoelace Formula states that if we have the coordinates of the vertices of a polygon in counterclockwise order (x₁, y₁), (x₂, y₂), ..., (xn, yn), then the area (A) of the polygon is given by:
A = 1/2 × |(x₁y₂ + x₂y₃ + ... + xn-1yn + xny₁) - (y₁x₂ + y₂x₃ + ... + yn-1xn + ynx₁)|
In our case, the coordinates of the park's vertices are (-9, -9), (-3, -9), and (-6, -5). Let's calculate the area using the Shoelace Formula:
A = 1/2 × |(-9 × -9 + -3 × -5 + -6 * -9) - (-9 × -3 + -9 × -6 + -5 × -9)|
Simplifying further:
A = 1/2 × |(81 + 15 + 54) - (27 + 54 + 45)|
A = 1/2 × |150 - 126|
A = 1/2 × |24|
A = 12
Therefore, the area of the park is 12 square units.
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Answer:
12 square units---------------------
Plot the given vertices and connect.
See attached.
Then add the height CD.
The base is AB, with the length:
AB = - 3 - (- 9) = -3 + 9 = 6The height is CD, with length:
CD = -5 - (- 9) = - 5 + 9 = 4Find the area using equation:
A = bh/2A = 6*4/2A = 12
Katie wants to buy a sundress priced at $40.00. If the sales tax is 6%, what is the total amount she must pay for the sundress?
Responses
Answers
Answer:
It should be 42.4
Dalvin drove 190 miles in 5 hours. If he continued at the same rate, how far would he travel in 8 hours?
Answers
Explanation:
Dalvin drives 190 miles in 5 hours. His speed is 190/5 = 38 mph.
From here we would say the following
distance = rate*time
distance = (38 mph)*(8 hrs)
distance = 304 miles
The American Population is living longer. Along with the longevity of life comes additional challenges with both medical and Psychiatric problems. Your patient is about to be discharged from a short-tern rehab center. You overhear the daughter confiding in the nursing student that she cannot handle her mother and will be looking for a Memory care unit to put her mother in. You also hear the student nurse who was raised in a foreign country state, " I would NEVER put my mother in a home. I would take care of her woth my two sisters junti she dies.
what considerations might you make withthis students. Address the cultural differneces in elder care and adress the conself od "Role Strain" in caring for special populations.
Answers
Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.
What is the cultural Strain?Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.
Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.
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The diagram below shows a side view of a set of stairs. What is the area shown?
No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points
Answers
Answer:
468
Step-by-step explanation:
Answer:
468
Step-by-step explanation:
First, we want to break this up into separate pieces, there will be 3 rectangles and 1 square.
each rectangle has a height of 6 and a width of 24. so the area of each rectangle would be 6*24 or 144, then we multiply that by 3 because there are 3 rectangles, when we multiply 144*3 we will get 432.
Now we must solve for the area of the square, on each side, it is 6 cm so we multiply 6*6 so we get 36, that's all we need to do for that now.
to get our final answer we add both answers together so, 432+36 then our final answer is 468 cm
Find the value of X.
Answers
Answer:
x = 36
Step-by-step explanation:
Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.
RelationThe product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.
24² = 12(12 +x)
2·24 = 12 +x . . . . . . . divide by 12
36 = x . . . . . . . . . subtract 12
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19. Given that angle BFC = 58°. Angle BXG = 48° and angle CBF 22 Find () 2BGX (iv) BCG (i) 2BGF (iv) ZBFG (ii) BCF H EE 58 48° D C 220 A- Figure 5.74
Answers
The unknown angles in the cyclic quadrilateral is as follows:
∠BGX = 74° (sum of angles in a triangle)
∠BGF = 180° (opposite angles of cyclic quadrilateral are supplementary)
∠BCF = 100°(sum of angles in a triangle)
∠BCG = 26°
∠BFG = 22°
Cyclic QuadrilateralA cyclic quadrilateral has all its angles equal to 360 degrees. The sum of angles in a cyclic quadrilateral is equals to 360 degrees.
Let's find the missing angles as follows:
∠BGX = 180 - 48 - 58 = 74° (sum of angles in a triangle)
∠BGF = 180 - 100 = 80° (opposite angles of cyclic quadrilateral are supplementary)
∠BCF = 180 - 22 - 58 = 100°(sum of angles in a triangle)
∠BCG = 100 - 74 = 26°
∠BFG ≅ CBF = 22°(alternate angles)
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Differentiate the function with respect to x.
Answers
Differentiation of f(x) is \(-8x^{3} sinx^{4}\).
Given,
f(x) = \(cos2x^{4}\)
Now, we will differentiate f(x) with respect to x,
\(\frac{d}{dx}cos2x^{4} = (\frac{d}{dx}cos2x^{4})(\frac{d}{dx}2x^{4} )\)
\(= (-sin2x^{4})(2*4x^{3})\)
\(= -8x^{3}sin2x^{4}\)
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10. Order the following from least to greatest and then place them in the correct locat
{-3 1/3, 9/2,√15, 16/5 , √6
Answers
Answer:
Step-by-step explanation:
-3 1/3 goes to between -3 and -4
9/2=4 1/2 between 4 and 5
\(\sqrt{15}\) between 3 and 4
16/5=3 1/5 between 3 and 4
\sqrt{15} between 2 and 3
Use mental math to estimate the solution 2 x 23 = 40
Answers
Consider the larger number 23 as 20
So, we get 2×20 = 40
6 - 6x = 6x -10x + 4
Answers
Answer:
x=1
Step-by-step explanation:
6 - 6x = 6x -10x + 4
Combine like terms
6 - 6x = -4x + 4
Add 6x to each side
6 -6x+6x = -4x+4+6x
6 = 2x+4
Subtract 4 from each side
6-4 = 2x+4-4
2 =2x
Divide by 2
2/2 = 2x/2
1 =x
Answer:
X=1
Am I right
Step-by-step explanation:
6 - 6x = 6x - 10x +4
6- 6x = - 4x +4
6x +4x=4 +6
10x =10
Divide by 10
X=1
what is the value of x? Help asap please
Answers
Answer:
x = 30
Step-by-step explanation:
A triangle's angles add up to 180
Also, angles on a straight line add up to 180
180-100 = 80
80+70=150
180-150=30
Answer:
x = 30
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
100° is an exterior angle of the triangle, then
x + 70 = 100 ( subtract 70 from both sides )
x = 30
An animal shelter provides a bowl with 1.25 liters of water for 5 cats.
About how much water will be left after the cats drink their average daily amount of water?
Water Consumption
Animal Average Amount
(Liters per day)
Canada Goose 0.24
Cat 0.15
Mink 0.10
Opossum 0.30
Bald Eagle 0.16
liter(s) of water will be left after the cats drink their average daily amount of water.
Answers
Answer:
.50 left
Step-by-step explanation:
You have to multiply .15 times 5, then get that and subtract that number by 1.25, but do not worry about the decimal just add that in later, and the answer is .50
A company produces two products: A and B. The relative market values at the split-off point are not available. For every $300,000 of joint costs, Product A produces 10,000 pounds, and Product B produces 40,000 pounds. The amount of joint costs allocated to Product B using the physical quantities method is $
Answers
The joint costs allocated to Product B is $240,000.
What is amount of joint costs allocated to Product B?We must allocate joint costs based on the relative physical quantities produced by each product.
The total physical quantity produced by both products is:
= Quantity of A + Quantity of B
= 10,000 + 40,000
= 50,000 pounds
We will calculate the proportion of physical quantity produced by product A:
= Quantity of B / Total physical quantity
= 40,000 / 50,000
= 0.8
The amount of joint costs allocated to Product B is will be
= Total joint costs x Proportion of
= $300,000 x 0.8
= $240,000.
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Answers
Hello please this is kinda urgent so if you could answer really fast before 11:50 that would be great :-p-This is a school lesson on zearn no explenation needed just put the answer using /
Answers
Answer:
1 2/6 - 3/6
Step-by-step explanation:
This should be right if you are keeping the same amount but want to just change up the numbers!
Mark made the following shape using two rectangles and one triangle. What is the area of the figure he made?
Answers
Answer:
44 square centimetres.
Explanation:
The shape consists of two rectangles and one triangle with the following dimensions:
• A rectangle (Rectangle 1) with dimensions of 4cm by 2cm.
,• A rectangle (Rectangle 2) with dimensions 6cm by 4cm.
,• A triangle with base 6cm and height of 4cm.
Thus, the area of the figure made will be:
\(\begin{gathered} \text{Area of figure=Area of rectangle 1+Area of rectangle }2+\text{Area of }\triangle \\ =(4\times2)+(6\times4)+(\frac{1}{2}\times6\times4) \\ =8+24+12 \\ =44\operatorname{cm}^2 \end{gathered}\)The area of the figure is 44 square centimetres.
Estimate a 15% tip on a dinner bill of $79.42 by first rounding the bill amount to the nearest ten dollars.
Answers
Answer:
I don't know if this is right but
Tip Total: $ 12
Total (Bill + Tip): $ 92
Sorry if this is wrong
Step-by-step explanation:
Answer:
$12 tip
Step-by-step explanation:
For this problem let's first round our bill amount to the nearest ten dollars. So $79.42 becomes $80.00. From here we will simply need to find 15% of $80.00 which can be found simply through multiplication as follows:
$80.00 * 0.15 = ?
$80.00 * 0.15 = 12
So, we can say the estimated 15% tip for the bill is $12.
Cheers.
true/false.
____1.When the non-Standard unit used is small few unit's are
needed to fill a container when the non-standard the non-standard units used is bigger more units are needed to fill the container.
____2.Objects with shape can have the same volume.
____3. To find the volume of rectangular prism multiply the length,width and height.
_____4. Volume is measured in square unit's.
_____5. the amount of space inside an object is called the volume of the object.
____6. The volume of a rectangular prism is equal to the product of its length, width, and height V = 1xwxh cubic units.
____7. Standard units give a consistant and accurate measure of a container.
____8. Non-Standard units cannot be used to measure volume.
____9. Volume is measured in cubic units, such as cubic centimeters.
Answers
1. It is false that when non-Standard unit used is small few unit's are
needed .
2. Objects with different shapes can have the same volume. True
3. Length, width and height and multiplied to find volume of a rectangular prism. True
4. It is false that volume is measured in square unit.
5. It is true that Volume is a measure of the amount of space inside an object.
6. The formula for volume of a rectangular prism is V = l × w × h. True
7. It is true that Standard units give a consistent and accurate measure of a container.
8. It is false that Non-Standard units cannot be used to measure volume.
9. Volume is measured in cubic units. True
What is volume of an object?Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.
Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).
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Please help worth 10 points is this true that line n is perpendicular to line p? I think the answer is C, is this correct or not?
Answers
Answer: A
because slope are
Select the correct answer. Four figures. Figure 1 shows a right triangle A C B with a line D E parallel to base B C. Figures 2, 3, and 4 shows a triangle A B C with a line D E parallel to base B C. In which figure is ? A. figure 1 B. figure 2 C. figure 3 D. figure 4
Answers
Answer: going to take a wild guess and say figure 2 or figure 4 is correct but I'm going with figure 2
Step-by-step explanation:
Answer: Figure 4
Step-by-step explanation:
I got it right on Edmentum
What is the total area of the region?
Answers
Answer:
357cm²
Step-by-step explanation:
Area of the shape is area of the rectangle, and the area of the semi-circle
Area rectangle = 20cm x 10cm = 200 cm²
Area semi-circle = 1/2(3.14 * 10²) = 1/2(314cm) = 157 cm²
Total area = 157cm² + 200 cm² = 357cm²
If my answer is incorrect, pls correct me!
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-Chetan K
There is a 60% probability that a home in the United States has a large-screen TV. In a sample of six homes, what is the probability that there will be a large screen TV in:_________a). All 6 homes? b). None of the homes c). At least 5 of the homes? d). At most 2 of the homes? e). More than 3 of the homes? f). Less than 3 of the homes? g). How many homes would you expect to have a large-screen TV in a sample of six homes?
Answers
Answer:
faster and smarter Homes its b
Step-by-step explanation:
I did this one
what is 13/52 as a decimal
Answers
NO LINKS!!! URGENT HELP PLEASE!!!
Express the statement as an inequality.
a. x is negative
1. x = 0
2. x < 0
3. x > 0
4. x ≥ 0
5. x ≤ 0
b. y is nonnegative .
1. y < 0
2. y ≥ 0
3. y ≤ 0
4. y = 0
5. y > 0
c. q is less than or equal to π
1. q = π
2. q < π
3. q > π
4. q ≥ π
5. q ≤ π
Answers
Answer:
Step-by-step explanation:
a. x is negative: x < 0
b. y is nonnegative: y ≥ 0
c. q is less than or equal to π: q ≤ π
Answer:
a.
2. x < 0
b.
2. y ≥ 0
c.
5. q ≤ π
Step-by-step explanation:
To express the given statements as an inequality, we need to determine the relationship between the given quantities.
a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.
b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.
c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.
por favor plis lo necesito urgente es para mi hijo bendiciones
Answers
Answer:
mi no ingles
Step-by-step explanation: