What is the largest number that rounds to 500 when rounding to the nearest 100? Show
how you know?
A:530
B:534
C:535
D:540
E:544
F:545

The required cost is $ 101.22.

This problem can be solved by unitary method.

Given that monthly cost of customer if he uses 410 minutes is $71.

So, cost per minute = [tex]\frac{71}{410}[/tex]

                               =$ 0.17

And if the customer uses 720 minutes then the cost is $118.

So, cost per minute is = [tex]\frac{118}{720}[/tex]

                                   =0.16

Now if he uses 687 minutes then for 410 minutes cost incurred will be

= 410 × 0.17

= $ 69.7

And for next 197 minutes cost incurred will be = 197 × 0.16

                                                                         = $ 31.52

Total cost for 687 minutes = $(69.7 + 31.52)

                                         = $ 101.22

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Answer: Yes, it is.

Step-by-step explanation:

given: x is 0 and y is 3. Plug in the equation and solve

y=x+3

3=0+3

3=3

Yes, it is a solution

Answer: The number of ribbons used to trim the Curtains are 72 inches.

Step-by-step explanation:

Let us convert all numbers into inches.

Then, 1 yard= 36 inches

Given data, 5/2yards

So, 5/2 yards means.,

5/2= 2.5 yards

We can write: 2.5yards=2.5x36inches

=90inches

We convert feet into inches

1feet=12inches

We consider 1feet=12inches

In this question she had 1feet 6 inches of ribbons left.

Then 1x12=12inches

More 6 inches: 12+6=18inches

Now subtract 18 inches from 90 inches to get the inches used to trim curtains

Then, 90inches-18inches=72 inches

Thus, the number of ribbons used to trim the Curtains are 72 inches.

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Answer:

do ur best

Step-by-step explanation: somebody else might can help u

Answer:

See explanation

Step-by-step explanation:

If two of the side lengths are equal, use only one of those two equal side lengths. Then, using that one side length, multiply that side length with the third side length to get the area.

side length a, b, and c.

a=b.

A=area.

A=b*c ==> Area of rectangle

An equation that relates T to N can be written as T = 750 + 630N.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

A function can be defined as a mathematical expression which can be used to define and represent the relationship that exist between two or more variables in a population (data set).

Since the total amount saved by using both plans (functions A and B) is represented by T, an equation that relates T to N can be written as follows:

T = A + B

Substituting the given parameters into the formula, we have;

T = (750 + 135N) + 495N

T = 750 + 135N + 495N

T = 750 + 630N.

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Complete Question:

Raina and her husband are each starting a saving plan. Deshaun will initially set aside $750 and then add $135 every month to the savings. The amount A (in dollars) saved this way is given by the function A=750+135N , where N is the number of months he has been saving. Her husband will not set an initial amount aside but will add $495 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=495N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N.

Simplify your answer as much as possible.

Answer:

y = 6x - 2

Step-by-step explanation:

We will use the slope-intercept form of a line to help us.  We know the slope, we need to determine the y-intercept.  To find this, we need an x and y on the line and the slope.  Fortunately, they have given us all of the information.  An ordered pair is in the form (x,y)  So we will use x = 1 and y = 4 from the point they have given us (1,4)  They have also given us the slope of 6.  We will plug this all into our equation and solve for b  the y-intercept.

y = mx + b

4 = 6(1) + b  

4 = 6 + b  Subtract 6 from both sides of the equation.

-2 = b

Now, write the equation

y = mx + b

y = 6x -2

Answer:

expression

Step-by-step explanation:

It's an expression. The expression happens to be a quadratic polynomial.

An equation must have an equal sign.

An equation is a statement that a number or expression equals a number or expression.

Here, there is no equal sign. There is only an expression.

Answer:

This is an expression

8x2+7x-15

The volume of the right rectangular prism = 2.4 ft³

A cube is a three dimensional shape that has equal edges and sides. The volume of a cube is calculated as:

Volume = a³, where a is the side length of the cube.

Given:

Side length of one cube (a) = 1/5 ft

Volume of one cube = (1/5)³ = 1/125 ft³

The right rectangular prism has 300 of these cube. Therefore:

Volume of the right rectangular prism = 300 × 1/125

Volume of the right rectangular prism = 300/125

Volume of the right rectangular prism = 2.4 ft³

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Answer: I hope this helps.

Step-by-step explanation:

Using Gaussian elimination, the solution to the given system of equations is given as follows:

x = 5, y = -11, z = 3.

A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.

For this problem, the variables are x, y and z, and the system is given as follows:

There are multiple ways in which a system can be solved, and for this one, Gaussian elimination will be used.

The first step is writing the augmented matrix of the system, as follows:

[tex]\left[\begin{array}{cccc}2&-1&4&33\\1&2&-3&-26\\-5&-3&5&23\end{array}\right][/tex]

Then, the first column, which is equivalent to be coefficient of y, has to be of zero on the second and on the third row, hence:

The updated matrix will be given by:

[tex]\left[\begin{array}{cccc}2&-1&4&33\\0&5&-10&-85\\0&-11&30&211\end{array}\right][/tex]

Then, the second column, equivalent to the coefficient of y, on the third row has to be zero, hence:

R3 -> 11R2 + 5R3.

Then the matrix is:

[tex]\left[\begin{array}{cccc}2&-1&4&33\\0&5&-10&-85\\0&0&40&120\end{array}\right][/tex]

From each row of the system, from bottom up, we find the variables, as follows:

40z = 120

z = 120/40

z = 3.

5y - 10z = -85

5y - 30 = -85

5y = -55

y = -11.

2x - y + 4z = 33

2x + 11 + 12 = 33

2x = 10

x = 5.

Hence the solution for the system is:

x = 5, y = -11, z = 3.

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The formula to find time from distance is time = distance/speed

As a general rule, the formula of speed is

Speed = Distance/Time

Multiply both sides by Time

Time * Speed = Distance

Divide both sides by Speed

he formula to find time from distance

Hence, the formula to find time from distance is time = distance/speed

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Answer:

54=12+r

Step-by-step explanation:

'Sum' means to add.

54 = 12 + rhonda's height

54 = 12 + r

in the equation y= -x-1/2

the slope is -1/1 which can also be shown as -1.

Answer:

it is very tough questions

The equation after completing the square is (z + 4)² = 80

The solutions to the given equation in the simplest radical form are z = -4 + 4√5 and z = -4 - 4√5

From the question, we are to solve the given quadratic equation by completing the square

The given equation is

z² +8z - 44 =20

First, add 44 to both sides of the equation

z² +8z - 44 + 44 = 20 + 44

z² +8z = 64

Now, divide the coefficient of z by 2, square the value and add to both sides

The coefficient of z is 8

Dividing

8/2 = 4

Squaring

4²

Now, add this to both sides

That is,

z² +8z +4² = 64 + 4²

(z + 4)² = 64 + 16

(z + 4)² = 80

The equation after completing the square is  

(z + 4)² = 80

Continuation

(z + 4)² = 80

Take the square root of both sides

√(z + 4)² = ±√80

z + 4 = ±√80

z = -4 ± √80

z = -4 ± 4√5

z = -4 + 4√5 and z = -4 - 4√5

Hence,

The equation after completing the square is (z + 4)² = 80

The solutions to the given equation in the simplest radical form are z = -4 + 4√5 and z = -4 - 4√5

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Answer:

The 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

The 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

The 41 week gestation's period baby weighs relatively less.

Step-by-step explanation:

Normal model problems can be solved by the zscore formula.

On a normaly distributed set with mean  and standard deviation , the z-score of a value X is given by:

The zscore represents how many standard deviations the value of X is above or below the mean .

Find the corresponding z-scores.

Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 800 grams. A 32-week gestation period baby weighs 2450.

Here, we have .

So

A negative z-score indicates that the value is below the mean.

So, the 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

Babies born after a gestations period of 40 weeks have a mean weight of 2900 grams and a standard deviation of 385 grams. A 41 week gestation period baby weights 2650 grams.

Here, we have

So, the 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

Which baby weighs relatively less?

The 41 week gestation's period baby has a lesser z-score, so this means that he weighs relatively less.

Answer:

I believe it's option 3, because you multiply 3 by 4, and get 12

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

The numerical expression that shows the amount of marbles that Alan has now is; 3(5 + 4)

We are told that he found 4 marbles to add to the 5 marbles in his collection.

Thus, after addition, total number of marbles is;

5 + 4 = 9 marbles

Now, we are told that he tripled this sum of marbles he had. Thus;

Tripling of marbles = 9 * 3

Thus, the numerical expression that shows the amount of marbles that Alan has now is;

3(5 + 4)

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Correct question is;

Alan found 4 marbles to add to the 5 marbles in his collection. Then, he went to the store and tripled the number of marbles he had.

Which numerical expression shows the amount of marbles Alan has now?

Answer:

Banks charge fees to help make a profit.

Step-by-step explanation:

Bank fees allow financial institutions to recoup operating expenses. Banks also make money on loans, via interest and other fees.

The value of y is am-z/7

The expression is given as follows

3y +z= am-4y

The first step is to collect the like terms in both sides, this way the numbers that both have y as their coefficient will be on the same side

3y + 4y= am-z

y(3+4)= am -z

7y= am-z

Divide both sides by the coefficient of y which is 7

7y/7= am-z/7

y= am-z/7

Hence the value of y in the expression is am-z/7

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the exponential model is given as N = 2.7 (1.0133)^(t) and the estimated population in 2009 was 2.6646 million.

According to the question, we have the information that:

N = 3 million

No = 2.7 million

a = 8 years

Now, we need to find the exponential model for the given data.

Do putting the values in the equation to get the value of a, we have:

3 = 2.7 (a)^(8)

1.1111 = a^(8)

a = 1.0133

So, the exponential model will be:

N = 2.7 (1.0133)^(t)

Now, the estimated population in 2009 will be:

t = - 1

So, we get that:

N = 2.7 (1.0133)^(-1)

N = 2.7 / 1.0133

N = 2.6646 million

Therefore the exponential model is given as N = 2.7 (1.0133)^(t) and the estimated population in 2009 was 2.6646 million.

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Answer:

Lets say a CD costs a 100 dollars (which it obviosly doesn't)

No matter whether we do the discount before or after tax, it'll end up costing 84 dollars to by the CD.

80% of 100 = 80

80 * 1.05 = 84

80% of 105 = 84

The order in which he does the discount and the tax doesn't matter.

Hope this helps.

If points E,F,G are collinear, then,

EF+FG = EG

5x+10 = 10x

10 = 10x-5x

10 = 5x

5x = 10

x = 10/5

x = 2

So,

As a check, EF+FG = 10+10 = 20 = EG to help confirm the answer

Answer:

EF = 10

Step-by-step explanation:

EF = 5x

FG = 10

EG = 10x

Answer:

88.7 rounded and 88.66 not rounded

The average number of viewers over the two weeks will be 3.85 × 10⁴.

It should be noted that based on the information, the TV show had 3.6 x 10⁴ viewers in the first week and 4.1 x 10⁴ viewers in the second week.

Therefore, the average number of viewers over the two weeks will be:

= [(3.6 × 10⁴) + (4.1 × 10⁴)] / 2

= 3.85 × 10⁴

Therefore, the average number of viewers over the two weeks will be 3.85 × 10⁴.

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