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

Answer 1

The maximum possible sum of the original four numbers is 4(10 + 9 + 9 + 9) = 148.

If the sum of the four rounded numbers is 90, then the sum of the original four numbers is either 40 + a + b + c + d or 50 + a + b + c + d, depending on whether the numbers were rounded up or down.

To maximize the sum of the original four numbers, we assume that all four numbers were rounded up to the nearest 10, which means they take the form of 10k + 10. This gives us the equation 50 + a + b + c + d = 90, or a + b + c + d = 40.

Therefore, the maximum possible sum of the original four numbers is 4(10 + 9 + 9 + 9) = 148.

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Related Questions

Question 2 (25 points)
Solve for the missing hypotenuse. Round your answers to the nearest tenth. Figures are not drawn to scale.

Help me ASAP!!!!!!!! Plzzzz

Question 2 (25 points)Solve for the missing hypotenuse. Round your answers to the nearest tenth. Figures

Answers

Answer:212.4

Step-by-step explanation:

Opposite/hypotenuse

Sin23=83/x

Multiply x to both sides to cancel out the x under 83

You get xsin23=83

Then divide sin23 to both sides

X=83/sin23

X=212.4

7 + 2y^2

Evaluate the expression for
Y = 5.


Please help me

Answers

Answer:

107

Step-by-step explanation:

We first need to input the values of the variables.

7 + 2 x 5^2

7+10^2

7+100 = 107

A puppy weighs 4 pounds. How many ounces does the puppy weigh?

Answers

Answer:

64 ounces

Step-by-step explanation:

Since 1 lb = 16 oz, just do 4 × 16 = 64

If puppy weighs 4 pounds then the weigh in ounces is 64 ounces.

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

There are 16 ounces in a pound.

1 pound= 16 ounces.

Given that puppy weighs 4 pounds.

We have to find the wight in ounces.

To convert pounds to ounces, we need to multiply the weight in pounds by 16.

The puppy weighs 4 pounds x 16 ounces/pound

= 64 ounces

Hence, if puppy weighs 4 pounds then the weigh in ounces is 64 ounces.

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1. When publishing a script from the MATLAB Editor, the resulting document contains section headers derived from the MATLAB code. What is the source of these headers?
a. Section titles(lines starting with %% followed by a space and then a title)
b. An option set in the publishing configuration
c. Command lines that contain no executable code (lines starting with %)
d. Comment lines with the markup HEADER (lines starting with %HEADER)
e. The H1 line
2. Which of the following statements about the purpose of code in the MATLAB Editor is not true?
a. Identify and summarize related blocks of code in a large file.
b. Automatically pause code execution at the start of each section when running a script.
c. Interactively evaluate a single block of code independently.
3. GIven a non scalar matrix X, which commands return a matrix of the same size as x?
a. mean(x)
b. sin(x)
c. log(x)
d. sum(x)
e. std(x)
f. sqrt(x)

Answers

1. (A)  Section titles  (lines starting with %% followed by a space and then a title).

2. (B)  Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

The source of the section headers in the resulting document when publishing a script from the MATLAB Editor is:

a. Section titles (lines starting with %% followed by a space and then a title).

The statement that is not true about the purpose of code in the MATLAB Editor is:

b. Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. The commands that return a matrix of the same size as x, given a non-scalar matrix X, are:

a. mean(x)

b. sin(x)

c. log(x)

d. sum(x)

e. std(x)

f. sqrt(x)

All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

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Malik grills a steak minutes longer than he grills a serving of fish. The fish takes twice as long as the asparagus to grill. Malik grills halved tomatoes for minutes, which is minute longer than he grills the asparagus.Write an expression that represents the amount of time Malik grills the steak if the asparagus grills for x minutes.

Answers

As a result, 2x + 10 is the expression that describes how long Malik will cook the sirloin for if the asparagus grills for x minutes.

What is a good expression of the phrase?

So, 1+1 is a straightforward illustration of a statement. This expression has one action, two constant elements, and (addition). Another illustration is x3.

Let's start by using the given information to create expressions for each item:

Let's call the time it takes to grill the fish "f". Then, according to the problem, Malik grills the steak for "f + 10" minutes.

Grilling time for the seafood is double that of the vegetables. Thus, if it requires "x" minutes to grill asparagus, "2X" minutes are needed to grill salmon.

For "x + 1" minutes, and this is one minute more than he roasts the asparagus, Malik cooks the tomatoes that have been cut in half.

Using these expressions, we can create an equation for the time it takes to grill the steak:

Time to grill steak = Time to grill fish + 10

(f + 10) = 2x + 10

Therefore, if the asparagus cooks for x minutes, the phrase that denotes how long Malik will grill the sirloin is:

2x + 10

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a golfer claims that his average golf score at the course he plays regularly is less than 90. the correct hypothesis statement for this golfer to prove his claim would be

Answers

The correct hypothesis statement for this golfer to prove his claim would be:

\(H_{0} :u\geq 90\)

\(H_{1} :u < 90\)

The golfer claims that his average score is less than 90.

Therefore, the null hypothesis is the opposite of what he claims

Null hypothesis \(H_{0}\) is average score \(u\) is greater than or equal to 90:

\(u \geq 90\)

\(H_{0} :u\geq 90\)

Alternative hypothesis \(H_{1}\) is then the opposite of null hypothesis.

Hence alternate hypothesis \(H_{1}\) is u< 90

\(H_{1} :u < 90\)

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Can someone help me with my homework its experimental and theorectical probability

Answers

Yes sure what’s the question?

Answer:

Step-by-step explanation:

fjfjgjgjghg

What is the slope of a line that is perpendicular to the
line shown on the graph?

Answers

Answer:

0,0 aka the Orgin

Step-by-step explanation:

Kelly decided to get sandwiches for
herself and some friends. The
cashier said that if she spent over
$10 she would get 15% off. The total
bill was $13.27. How much was the
total bill after the discount?

Answers

Answer:

Explanation Below:

Step-by-step explanation:

To solve this you have to do this:

13.27/x (x being the discount ) x 15% = 11.2795

The answer is 11.2795

:)

Please help me solve this.

Please help me solve this.

Answers

Answer:

see my questions please come

1) What would be another way to name plane M?
(picture attached)
A. plane KJH
B. plane J
C.plane HJG
D.plane GJN

1) What would be another way to name plane M?(picture attached) A. plane KJH B. plane J C.plane HJG D.plane

Answers

Answer:

C. plane HJG

Step-by-step explanation:

hope this helped :-)

Write an expression that represents: 6 less than ⅓ times the sum of x and 4


Help please dont say I dont knoẁ and waste my points know or give something this is the second time I am asking this question

Answers

Answer:

(1/3-6) x  (x+4)

Step-by-step explanation: Less than indicates you put the 1/3 first, giving you 1/3-6. Then you multiply that by x+4. Sum means additon! The X in the middle is a multiplacation symbol.

A boat can travel 396 km
On 132 L of gasoline how far can it travel on 89 L

A boat can travel 396 km On 132 L of gasoline how far can it travel on 89 L

Answers

Answer:

267 km

Step-by-step explanation:

\(\frac{396}{132}\) => 3

3 x 89 -> 267 km on 89 liters

hi

as consumption is proportional to distance we have :  

 132  =  396

   89 =    ?  

? =   89*396  / 132 =  267

with 89 liters  of gasoline, boat goes 267 km.

What is the value of x in the figure?
60°
(2x)

What is the value of x in the figure?60(2x)

Answers

Answer:

The term X is a variable that takes the place of any number. ... Similarly 2 multiplied by X results to X plus X which means a number added to itself since multiplication is a repeated addition. So 2X = 2 * X = X + X = 2X.

Step-by-step explanation:

can i have brainliest

Answer:

x=30

Step-by-step explanation:

Since both of the acute angles have around or similar degrees, they will be the same. But even without that information we can see that each of the angles look the same. We already know that there are 360° in a circle, making 180° in a semi-circle. We can add 60+60 which will give us 120°. 360-120=240, which dividing that by 2 will give us 120, and if we were figuring out the other 2 would be 120° each.

9 Which of the following is the solution to this system of equations below?
2x + y = 4
4x - y = 8
A (0, 2)
B (2, 8)
с (2, 0)
D (8,4)

Answers

I think it might be C :) i’m sorry if its wrong :(((

Determine the inverse of the following.
y =- log(x - 1) + 2

Answers

Answer:

\(f^{-1}\)(x)=\(10^{-x+2}\)+1

Step-by-step explanation:

What is the range of 10,13,14,15,17,18,20,30,35

Answers

Given

The data is given

10,13,14,15,17,18,20,30,35

I need help as soon as possible

I need help as soon as possible

Answers

Answer:

A. x = 4

I hope this helps!

Which equation does not have infinitely many solutions?
o =
6x + 4 = 2(3x + 2)
+
2x + 5 - 5x + 2 + 3x = 7
-
3x + 13 + 4x – 5 = 7x + 8
-
0 4x - 8 = 2(2x + 3)
-

Answers

None of the given equations have infinitely many solutions.

To identify which equation does not have infinitely many solutions among the given options.

1) 0 = 6x + 4 = 2(3x + 2)
2) 2x + 5 - 5x + 2 + 3x = 7
3) -3x + 13 + 4x – 5 = 7x + 8
4) 4x - 8 = 2(2x + 3)

Let's analyze each equation:

1) The equation can be simplified to 0 = 6x + 4, which is not true for all x, so it does not have infinitely many solutions.
2) Simplifying the equation, we get 0 = 7, which is false for any x, so it does not have infinitely many solutions.
3) Simplifying the equation, we get 1x + 8 = 7x + 8, which can be further simplified to -6x = 0, or x = 0. Since it has only one solution, it does not have infinitely many solutions.
4) Expanding the equation, we get 4x - 8 = 4x + 6. It is false for any x, so it does not have infinitely many solutions.

Therefore, none of the given equations have infinitely many solutions.

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Inx 17. Evaluate the integral (show clear work!): S * dx
14. Write an expression that gives the area under the curve as a limit. Use right endpoints. Curve: f(x) = x? from x = 0 to x = 1. Do not att

Answers

I apologize, but there seems to be some missing information in your question.

For question 17, there is no function or limits of integration provided, so I cannot evaluate the integral. Please provide the necessary information.

For question 14, the prompt seems to be cut off. It says "Write an expression that gives the area under the curve as a limit," but then it cuts off with "Do not att." Please provide the complete prompt so I can assist you better.

The integral ∫[0 to 1] x² dx evaluates to 1/3.

To evaluate this integral, we can use the power rule for integration. Applying the power rule, we increase the power of x by 1 and divide by the new power. Thus, integrating x² gives us (1/3)x³.

To evaluate the definite integral from x = 0 to x = 1, we substitute the upper limit (1) into the antiderivative and subtract the result when the lower limit (0) is substituted.

Using the Fundamental Theorem of Calculus, the area under the curve is given by the expression A = ∫[0 to 1] f(x) dx. For this case, f(x) = x².

To approximate the area using right endpoints, we can use a Riemann sum. Dividing the interval [0, 1] into subintervals and taking the right endpoint of each subinterval, the Riemann sum can be expressed as lim[n→∞] Σ[i=1 to n] f(xᵢ*)Δx, where f(xᵢ*) is the value of the function at the right endpoint of the i-th subinterval and Δx is the width of each subinterval.

In this specific case, since the function f(x) = x² is an increasing function on the interval [0, 1], the right endpoints of the subintervals will be f(x) values.

Therefore, the area under the curve from x = 0 to x = 1 can be expressed as lim[n→∞] Σ[i=1 to n] (xi*)²Δx, where Δx is the width of each subinterval and xi* represents the right endpoint of each subinterval.

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help me please......

help me please......

Answers

Answer:

1.

as we can see in the first fraction, they are multiplying the denominator by 5 to get from a denom of 20 to 100. THerefore,  we can now multiply the num of 17/20 by 5 to get our answer. 17x5=85

85/100 can be written as .85.

THe answer is 85

2.

By folowing the same proccess we see that the denom in being multiplied by 2 and therefore by doing the ssame with the num we get 62. 62/100 is 0.62. To find this you can divide 62 by 100 or just know that any number over 100 is the decimel. For example in the fraction 76/100 0.76 is the decimal.

62

0.62

Overall we don't really need the model

Step-by-step explanation:

Robert Wadlow is the tallest man who has ever lived according to scientific records, photos, videos and testimonials from those who knew him. When he was a Boy Scout at the age of fourteen his height was 7 feet 5 inches. If one meter is equal to 3.28 feet and one inch is equal to 2.54 cm. What was Robert's height in meters at fourteen?​

Answers

Robert's height at fourteen was approximately 2.26 meters.

What is linear equation?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane.

Robert's height in feet at fourteen was 7 feet 5 inches. To convert this to meters, we first need to convert feet to inches:

7 feet = 7 x 12 = 84 inches

5 inches = 5

So his height in inches was 84 + 5 = 89 inches.

Now, to convert inches to meters, we need to multiply by 2.54 cm (since 1 inch = 2.54 cm) and then divide by 100 to get the answer in meters:

89 inches x 2.54 cm/inch / 100 cm/m = 2.2616 meters

Therefore, Robert's height at fourteen was approximately 2.26 meters.

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Use Heron's Formula, that is, the area of a triangle is A = s(s-a)(s-b)(s-c), where thetriangle contains sides a, b and c and s= }(a+b+c) to find the area of the triangle with sidelengths: a = 4, b = 3, C = 6.5.3 square units6 square units12 square units9 square units

Answers

Heron's formula makes use of s, which is described as the semi-perimeter of the triangle. Before we can use Heron's formula, let us solve first for the value of s via the equation

\(s=\frac{1}{2}(a+b+c)\)

The lengths of the triangle are given in the problem. Just plug it in on the equation above and compute.

\(s=\frac{1}{2}(4+3+6)=\frac{13}{2}\)

Now, let's move on using Heron's formula to solve the area of the triangle. We have

\(\begin{gathered} A=\sqrt[]{s(s-a)(s-b)(s-c)} \\ A=\sqrt[\square]{\frac{13}{2}(\frac{13}{2}-4)(\frac{13}{2}-3)(\frac{13}{2}-6)_{}} \\ A=\sqrt[]{\frac{13}{2}\lbrack(\frac{5}{2}\times\frac{7}{2}\times\frac{1}{2})\rbrack} \\ A=\sqrt[]{\frac{13}{2}(\frac{35}{8})} \\ A=\sqrt[]{\frac{455}{16}}=5.33 \end{gathered}\)

Therefore, the area of the triangle is 5.3 square units.

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 polnts)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 polnts)Part

Answers

Horizontal and Vertical translations can transform f(x) to g(x).                                                                                                                                                                                                            

Equations to transform f(x) to g(x) are: g(x) = f(x) + k, and g(x) = f(x + k).

In vertical translation k = 18, and horizontal translation k = 6.

Solution

Equations of the two st. lines

Select two points on the line f(x) viz. (1,2), (2,5).

The equation of the line f(x) is

\(\frac{y-2}{x-1} = \frac{5-2}{2-1} \Rightarrow \mathbf{y=3x-1}.\)

Select two points on the line g(x) viz. (-5,2), (-4,5).

The equation of the line g(x) is

\(\frac{y-2}{x+5} = \frac{5-2}{-4+5} \Rightarrow \mathbf{y=3x+17}.\)

Ways to transform

The two lines, f(x) and g(x), are parallel to each other so their orientation w.r.t. each other is not changed. f(x), thus, can be translated to obtain g(x).

The translation of f(x) can be done in two ways: Vertical translation, and Horizontal translation.

Horizontal translation

f(x) can be translated horizontally to obtain g(x) by the relation of type g(x) = f(x + k).

Using the above relation for the two lines,

3x + 17 = 3(x + k) -1  ⇒  k = 6.

The horizontal translation relation is g(x) = f(x + 6).

Vertical translation

Vertical translation can be done with the relation g(x) = f(x) + k.

Using the above relation for the two lines,

3x + 17 = 3x - 1 + k  ⇒  k = 18.

The vertical translation relation is g(x) = f(x) + 18.

The two transformation relations are: g(x) = f(x + 6), and g(x) = f(x) + 18.

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anybody answer this question seriously please it has to be correct

anybody answer this question seriously please it has to be correct

Answers

Answer: that epuals 2/7

Step-by-step explanation:exam

what is 1+1. I need detail, a step-by-step answer, and a full paragraph (5 sentences) on why you think you have the correct answer. The correct answer will get brainiest.

Answers

Answer:

2

Step-by-step explanation:

just add 1+1

Answer:

The equation provided: 1+1 is a mere equation that can be calculated. For instance, there are examples that you can provide to answer this complicated expression. For example, 1 cow, and 1 more cow. Although it may seem complicated, you can add these two variables, and sum this equation, to get the final answer of 2.

Step-by-step explanation:

Sofia bought a clothes iron that was discounted 15% off of the original price of $35. What was the dollar amount of discount of the clothes iron?

Answers

Answer:

$5.25

Step-by-step explanation:

Given data

Original price= $35

Discount= 15%

let us find 15% of $35

=15/100*35

=0.15*35

=$5.25

Hence the amount of the discount is

$5.25

The cost to rent a moving van is $21 plus an additional $14 per hour. If a moving van is rented for 4 hours, what is the cost?

Answers

Answer:

$67

Step-by-step explanation:

$14 multiplied by 4 hours is $56, plus the $21 makes it $67.

The length of tr is 17 units. what are the lengths of sv and qt? sv = units qt = units

Answers

Applying the properties of kite, the measures are: SV = 41 units; QT = 21 units.

What is a kite?

A kite is a quadrilateral that has 2 pairs of congruent adjacent sides, and has two diagonals where the longest one bisects the shorter one and divides it into equal segments.

The diagram given is a kite. Where TR = 17 units. Thus we would solve for x using the equation as shown below:

TR = RV [congruent adjacent sides of the kite]

Plug in the values

17 = 3x + 2

17 - 2 = 3x

15 = 3x

15/3 = x

x = 5

SV = TS = 9x - 4 [congruent adjacent sides of the kite]

Plug in the value of x

SV = 9(5) - 4

SV = 41 units

The length of segment QT is 41 units.

QT = QV = 4x + 1 [congruent adjacent sides of the kite]

Plug in the value of x

QT = 4(5) + 1

QT = 21 units

The length of segment QT is: 21 units.

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The length of tr is 17 units. what are the lengths of sv and qt? sv = units qt = units

Answer:

SV: 41

QT:21

Step-by-step explanation:

Solve the equation. a4−56=−12 a=

Answers

a4-56=-12
Explanation is in the picture
Solve the equation. a456=12 a=
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