Part A
What are the possible outcomes of rolling a six-sided dle?

Answer:

4.8 ounces

Step-by-step explanation:

X= number of ounces for the $3.00 mixture of seasoning

$3.00/OZ + $1.75/ OZ = $2.00/ OZ We are adding the seasonings together to produce the 24 OZ mixture

X + 24-X = 24OZ To get the missing term we will subtract what we have from X

100 [(3.00)(X) + (1.75)(24-X)] = [(2.00)(24)] 100 to get rid of the decimals multiply both sides by 100

(300)(X) + (175)(24-X) = (200)(24) Multiply on each side, removing the parenthesis

300X + 4,200 - 175x = 4,800 Get all of the X's on one side of the equation remember to change the sign of 4,200

300X - 175X = 4,800 - 4,200 Combine Like Terms

125X = 600 Get X alone

125 125 To get X, we will divide both sides by 125

X = 4.8 OZ

The chef used 4.8 ounces of the $3.00 seasoning

Answer:

choice A is correct

Step-by-step explanation:

the value of x should be 75

Answer:

Shyam would be 43 years old

Step-by-step explanation:

Ram is 49 years old, since she is 3 years younger than Shyam and Krishna is 48 years old than Shyam

Using proportions, it is found that it takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, one meter stick has a mass of 0.2 kg. How many meter sticks are needed for a mass of [tex]7 \times 10^{22} \text{kg}[/tex]? The rule of three is given by:

One meter stick - 0.2 kg

x meter sticks - [tex]7 \times 10^{22} \text{kg}[/tex]

Applying cross multiplication:

[tex]0.2x = 7 \times 10^{22}[/tex]

[tex]x = \frac{7 \times 10^{22}}{0.2}[/tex]

[tex]x = 35 \times 10^{22}[/tex]

[tex]x = 3.5 \times 10^{23}[/tex]

It takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.

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Answer: c

Step-by-step explanation: Simple addition with decimals.

Answer:

C

Step-by-step explanation:

4

_

2 can be multiple by 3 and that will be same as 12

_

6

Answer:

y=-3x+5

Step-by-step explanation: Yes you have it correct. The question is asking for you to put it into an equation that fits the slope and y-intercept which is slope-intercept form. Additional note, when you have a problem like this and it doesn't say what type of equation form to put it in, put it in slope-intercept form for simplicity's sake.

Answer:

  y = -3x +5

Step-by-step explanation:

In general, do what the question asks you to do: write the equation of the line.

__

The slope and y-intercept of the line are given, so the easiest, most direct way to write the equation is to use "slope-intercept form." That form looks like ...

  y = mx + b . . . . . . where m is the slope, b is the y-inercept

You are given m = -3 and b = 5, so the equation you are asked to write can be ...

  y = -3x +5 . . . . . . this equation is the answer to the question

__

Additional comment

There are many forms of the equation for a line. Another one in common use for problems like this is the "point-slope form." You would use that one for a simple, direct answer to writing an equation for a line with a given slope through a given point.

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

If you are given the x- and y-intercepts, you can use "intercept form" to write the equation:

  x/a +y/b = 1 . . . . . for x-intercept 'a' and y-intercept 'b'

Another useful form is "standard form", which has ...

  ax +by = c . . . . where a > 0, and a, b, c are mutually prime

For example, the equation for your line could be written in standard form as ...

  3x +y = 5

Answer:

multiply by 5

Step-by-step explanation:

Answer:

3 / C. Your answer is multiply by 5!!!!!

Step-by-step explanation:

Hope this helps!

Answer:

55.9 m

Step-by-step explanation:

If you swam from one cornee to the other, you divide the rectangle into 2 right triangles

the diagonal is a common hypothenus of the triangles

applying pytha

C² = A² + B²

C² = 25² + 50²

C² = 625 + 2500

C² = 3125

C = sqrt 3125

C = 55.9 m

Answer:

105 cubic meters

Step-by-step explanation:

Answer:

20% off

Step-by-step explanation:

Divide:

72.8/364

Answer:

.20

Convert:

.20=20%

The shopkeeper giving 80% discount on the Christmas tree during the sale.

A discount is an amount that is subtracted from the regular price of an item.

[tex]discount \ percent = \frac{original \ price - final \ price }{original \ price } \times 100[/tex]

According to the given question.

The marked price of the Christmas tree i.e. original price = $364.

The price of the Christmas tree on sale i.e. final price  = $72.80

So,

The discount given on the Christmas tree

= Original price - final price

= $364 - $72.80

= 291.2

Therefore,

Discount percent  = [tex]\frac{291.2}{364} (100)= 80 \ percent[/tex]

Hence, the shopkeeper giving 80% discount on the Christmas tree during the sale.

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The probability that a point is chosen at random in the square is in the blue region is 0.8.

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As we know that the area of the shaded region is the sum of the area of triangle A and the area of triangle B. Therefore, the area of the blue shaded region is,

[tex]\text{Area of shaded region} = (\dfrac{1}{2} \times 8 \times 8) + (\dfrac{1}{2} \times 4 \times 8)[/tex]

                                  [tex]= (32) + (16)\\\\= 48\rm\ in^2[/tex]

The area of the square can be written as,

[tex]\text{Area of Square} = \rm(Side)^2 = 8^2 = 64\ in^2[/tex]

Now, the probability that a point is chosen at random in the square is in the blue region can be written as,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm Probability = \dfrac{\text{Area of blue region}}{\text{Area of square}}\\\\Probability = \dfrac{48}{60} = 0.8[/tex]

Hence, the probability that a point is chosen at random in the square is in the blue region is 0.8.

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70,000 centimeters

Step-by-step explanation:

1 meter = 100 centimeters

700 x 100 =70,000

Answer:

2

Step-by-step explanation:

One we student has 9 letters and another has 10 letters

Answer:

$847.74

Explanation:

total cost:

Answer:

$847.74

Step-by-step explanation:

Given:

Total amount paid = (cost of one pallet x number of pallets ordered) + delivery charge

⇒ total = (108.25 x 7) + 89.99

            = 757.75 + 89.99

            = 847.74

Answer:

We know that the slope or rate of change of the function can be:

positive

negative

zero, or

undefined

Function 1

From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0

so using the slope formula

Rate of change = m = y₂-y₁ / x₂-x₁

Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)

Rate of change = m = 4-4 / 1-0

Rate of change = m = 0/1

Rate of change = m = 0

Thus, the rate of change of function 1 is zero.

Function 2

We know the slope-intercept form of linear equation is

where m is the rate of change or slope of the function and b is the y-intercept

Given the function

comparing with the slope-intercept form i.e. y = mx+b

Therefore, the rate of change of function 2 = m = 8

Conclusion

The rate of change of function 1  = 0

The rate of change of function 2  = 8

as

8 - 0 = 8

Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.

We know that the slope or rate of change of the function can be:

positive

negative

zero, or undefined

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Function 1

From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0

so using the slope formula

Rate of change = m = y₂-y₁ / x₂-x₁

Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)

Rate of change = m = 4-4 / 1-0

Rate of change = m = 0/1

Rate of change = m = 0

Thus, the rate of change of function 1 is zero.

Function 2

We know the slope-intercept form of linear equation is  y = mx+b

where m is the rate of change or slope of the function and b is the y-intercept

Given the function

comparing with the slope-intercept form i.e. y = mx+b

Therefore, the rate of change of function 2 = m = 8

Conclusion

The rate of change of function 1  = 0

The rate of change of function 2  = 8

as

8 - 0 = 8

Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.

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Answer:

325.76

Step-by-step explanation:

72+104+149.76

The expression that represents the volume of the prism, in cubic centimetres is [tex]28.476(2x+1) \: \rm cm^3[/tex] approx

If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross section is same as its base, then its volume is:

[tex]V = B \times h[/tex]
where h is the height of that prism and B is the area of the base of that prism.

For this case, we are provided a prism which has pentagon as its cross sections, and its height is [tex]2x + 1[/tex] units.

Let B be the area of those pentagons, then:
Volume of the prism = [tex]B(2x + 1) \: \rm cm^3[/tex]

It is provided that the apothem of the pentagon is 2.8 cm.

An n sided regular polygon has internal angles' sum as 180(n-2)°

Thus, each internal angle would be of  180(n-2)/n°

For n = 5, this comes as 108°

Since the line AO is bisecting the internal angle, the angle OAB is o of 108/2 = 54°

Using the tangent ratio, we get:

[tex]\tan(54^\circ) = \dfrac{|OD|}{|AD|}\\\\|AD| = \dfrac{2.8}{\tan(54^\circ)} \approx 2.034 \: \rm cm[/tex]

Thus, area of the triangle AOD = [tex]\dfrac{1}{2} \times |AD| \times |OD| \approx \dfrac{1}{2} \times 2.034\times 2.8 = 2.8476 \: \rm cm^2[/tex]

There are 10 such triangles, all congruent, thus:

Area of pentagon = [tex]B \approx 10 \times 2.8476= 28.476 \: \rm cm^2[/tex]

Thus, volume of the pentagonal prism is:

[tex]V = B \times h \approx 28.476(2x+1) cm^3[/tex]

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Answer:

14x^2+7x

B

Step-by-step explanation:

I did the test.

Answer:

8+8

Step-by-step explanation:

the answer to the whats C and D well c=8 and D=8

Given -

ie. d = 6yd

ps - use 3.14 for a

To find -

Solution -

As we know the formula to find the perimeter of the semicircle is 2r + πr.

But A.T.Q we are only provided with the diameter. As we know that the radius is half of the diameter. ie, r = d/2.

Hence, d = 6

r = 6/2

r = 3 yd

Perimeter of semicircle = 2r + πr

Perimeter of semicircle = 2(3) + 3.14(3)

Perimeter of semicircle = 15.42 yd

Hence forth the semicircle's perimeter is 15.42 yd

The diameter of a semicircle is 6 yards. Find the perimeter of the semicircle?

Given :

Need to find :

Solution :

[tex] \small \blue {\underline {\underline{{ \orange{\rm{ First \: we \: need \: to \: calculate \: the \: radius \: of \: the \: semicircle }}}}}}[/tex]

We know,

[tex] \large \star \: \: \large \underline{\boxed{ \rm{ Radius = \dfrac{Diameter}{2}}}}[/tex]

[tex] \small\rm{ Radius = \dfrac{6}{2} = 3 \: yards}[/tex]

[tex] \small{ \underline{ \underline{\rm \red{ Now \: we \: will \: calculate \: the \: perimeter \: of \: the \: semicircle }}}}[/tex]

We know,

[tex] \large\star \: \: \large \underline{\boxed{ \rm{ Perimeter_{(semicircle)} = πr + 2r}}}[/tex]

Where,

Substituting the values we get

[tex] \small\bf{ Perimeter_{(semicircle)} = 3.14 × 3 + (2 × 3)}[/tex]

[tex] \small\rm{ Perimeter_{(semicircle)} = 9.42 \: + 6}[/tex]

[tex] \small\boxed{ \rm{ Perimeter_{(semicircle)} = 15.42 \: yards}}[/tex]

[tex] \rule{92mm}{3pt}[/tex]

Step-by-step explanation:

volume = 176 cm³

height = 7.8

radius = ?

pi = 3.14

volume of cylinder = πr²h

176 = 3.14 × r² × 7.8

176 = 24.492 × r²

176/24.4 = r²

7.21 = r²

√7.21 = r². ( Using long division )

r = 2.69 ( approx. )

The approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.

It is given that the standard normal curve shows the shaded area in the curve.

It is required to find the approximate area of the unshaded region under the standard normal curve.

It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.

In the curve showing the shaded region area between:

[tex]\rm P(1 < Z < 2)[/tex]

First, we calculate the shaded region area:

From the data given the value of Ф(1) = 0.8413.

P(Z<1)  = 0.8413  and

P(Z<2) =  0.9772

The area of the shaded region:

= P(Z<2) - P(Z<1)

=  0.9772 - 0.8413

= 0.1359

The area of the unshaded region:

= 1 - The area of the shaded region  ( because the curve is symmetric)

= 1 - 0.1359

= 0.8641 ≈ 0.86

Thus, the approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.

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Answer:

7^5

Step-by-step explanation:

Hopefully this helps :)

Answer:

x = - 3, y = - 1

Step-by-step explanation:

y = 7x + 20 -----> equation 1

4x - y = - 11

4x - ( 7x + 20 ) = - 11

4x - 7x - 20 = - 11

- 3x = - 11 + 20

- 3x = 9

x = 9 / - 3

x = - 3

Substitute x = - 3 in equation 1,

y = 7 ( - 3 ) + 20

  = - 21 + 20

y = - 1

Hence,

x = - 3

y = - 1

Answer:

Explanation:

y = 7x + 20 __ equation 1

4x - y = -11

y = 11 + 4x __ equation 2

using substitution method,

11 + 4x = 7x + 20

4x - 7x = 20 - 11

-3x = 9

x = -3

Find y,

y = 7x + 20

y = 7(-3) + 20

y = -1

Considering that we have the standard deviation for the sample, the t-distribution should be used to solve this question.

In this problem, there is a sample standard deviation of 0.5 hours, hence the t-distribution should be used.

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Answer:

The points are in the form (x,y) this means you count x (right) if positive and left if negitive, for y up is positive and down negitive. for example the point (3,-2) would be three to the right two down

Step-by-step explanation:

The points are in the form (x,y) this means you count x (right) if positive and left if negitive, for y up is positive and down negitive. for example the point (3,-2) would be three to the right two down

Answer:

10

Step-by-step explanation:

How many times greater is the value of 4 in 547 than the value of the 4 and 84​?

547: 500 + 40 + 7

5 is in the hundreds place

4 is in the tens place

7 is in the ones place

84: 80 + 4

8 is in the tens place

4 is in the ones place

The value of 4 in 547 is 10 times greater than the value of 4 in 84.

Since the 4 in 547 is in the tens place, while the 4 in 84 is in the ones place.

Also, 4 * 10 = 40

Hope this helps!

Answer:

A. $3960

B. r=40x^2+400x+3000

C. $200

Step-by-step explanation:

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write . R=PC

Per price increase is $20. So four price increase is $20x4=80. Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4x2=8 customers are reduced. Hence, total customers is 30-8=22

So Total Revenue is: R= 180 x 22= 3960

B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

R= (100+2x)(30-2x) = -40x^2+400x+3000

C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y).

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5 x 20= 100. So the price that gives the greatest revenue is 100+100 = 200

Answer:

Step-by-step explanation:

The picture does not show the example which will help in determining whether it is simple or compound interest calculation.

Based on what is shown, the answer is:

the numerator is: {(n + 11) + (n + 10) + (n + 9 ) + (n + 8) = 4n + 38;

and the denominator is: {(n) + (n + 1) + ... + (n + 11) = 12n + 66.

Therefore, the fraction is numerator/denominator:

= (4n + 38) / (12n + 66)

In this case n=1, the fraction = 42/78 =  0.53846

= 53.85%

Step-by-step explanation:

could not find the formula ?

the volume of a cylinder is ground area × height.

and the ground area is a circle.

so, all in all we get

pi×r²×h

with r being the radius (half of the diameter), and h being the height.

in our case we get

pi×(140/2)²×10 = pi×70²×10 = 49000×pi =

= 153,938.04... cm³