Kim is evaluating the expression 20 - 3p + 1 when p=4. Which expression can Kim use to evaluate the expression correctly?

Answer:

The third number is 1/60

Step-by-step explanation:

Let the denominator of the number = x

1/4 + 1/3 + 1/x = 1/5

1/4 + 1/3 = 3/12 + 4/12 = 7/12

The lowest common denominator is 60x.

(7/12 + 1/x)/3 = 1/5        Remember that this is the average of 3 numbers. That's what the 3 is doing on the left. Multiply both sides by 3

7/12 + 1/x = 3/5            Multiply through by 60x

35x + 60 = 36x

x = 60

Very nice problem. Thanks for posting.  This problem is a little involved. If you have trouble with it, leave a note in the comments and I'll come back and discuss it.

Answer:

D. The clinic opened at 7:30 A.M. and closed at 6:30 P.M.

Step-by-step explanation:

Pay attention to the times, and the amount of time the given location is open.

Only option D makes sense since the clinic open for 11 hours and the difference from the times given is exactly 11 hours; the other options are off, some give longer, and some give fewer amount of time.

Answer:

The clinic opened at 7:30AM and closed at 6:30PM

Step-by-step explanation:

The gragh shows The clinic opean 11 hours.

So It  7:30+11h= 18:30=6:30PM

SO This one is correct

9514 1404 393

Answer:

  D: all real numbers

  R: f(x) > 0

  A: f(x) = 0

  (-∞, 0), (+∞, +∞)

  vertical stretch by a factor of 2; left shift 2 units

Step-by-step explanation:

The transformation ...

  g(x) = a·f(b(x -c)) +d

does the following:

For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.

__

Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.

__

As with all exponential functions, ...

The function is a growth function, so ...

_____

Additional comment

The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...

  f(x) = 18(3^x)

with no left shift and a vertical stretch by a factor of 18 instead of 2.

Answer:

2 hours.

Step-by-step explanation:

From the question given above, the following data were obtained:

Speed of motorboat (sₘ) = 8 mph

Speed of cabin cruiser (s꜀) = 16 mph

From the question given, we were told that the cabin cruiser started his journey 2 hours later after the motorboat has left.

Let t be the time for the cabin cruiser.

Thus, the time for the motorboat will be (2 + t)

Also, if the cabin cruiser and the motorboat must be along side each other, then their distance must be the same.

With the above information, we can obtain the time taken for the cabin cruiser and the motorboat to be along side each other. This can be obtained as follow:

Speed of motorboat (sₘ) = 8 mph

Time for motorboat (tₘ) = t + 2

Speed of cabin cruiser (s꜀) = 16 mph

Time for cabin cruiser (t꜀) = t

Distance of motorboat = distance of cabin cruiser

Recall:

Distance = speed × time

Therefore,

sₘ × tₘ = s꜀ × t꜀

8 × (t + 2) = 16 × t

Clear bracket

8t + 16 = 16t

Collect like terms

16 = 16t – 8t

16 = 8t

Divide both side by 8

t = 16 / 8

t = 2 hours

Thus, it will take 2 hours for the cabin cruiser and the motorboat to be along side each other.

Answer:

2,600 seats

Step-by-step explanation:

x = total seats

1898 = .73x

x = 1898 / .73

Answer:

for question #33 is D because you have to find the one how much one of your angle is :)

and for question#34 is F

Answer:

I had a great quantity of apples and used 18 to make a large apple pie for my family and I, then I only had 24 left over.

Step-by-step explanation:

X in the equation represents the amount of apples I have at the beginning of the apple pie making process. Minus 18 represents the apples that are being used for the apple pie, so they are not there anymore. 24 represents the apples left over.

Answer:

4

Step-by-step explanation:

You can find the slope of two points with the point slope form, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

in this case, y2=8, y1=0, x2=3, x1=1

plug those numbers in

(8-0)/(3-1)

8/2, or 4

Answer:

28.5

Step-by-step explanation:

The sum of the interior angles in a triangle is equal to 180

102 + x + 6 + x + 15 = 180

123 + 2x = 180 subtract 123 from both sides

2x = 57 divide both sides by 2

x = 28.5

Answer:

30°

Step-by-step explanation:

x + 150° = 180°

(Linear pair angles)

x = 18.° - 150°

x = 30°

Reason: Linear pair angles

30°

Step-by-step explanation:

180°-150°=30°

a straight line is always equal to 180°

since we know that and we have the 150° given , all we have to do is to subtract 150 to 180 which is 30

pyramid A: 16 + [tex]8\sqrt{5[/tex]

pyramid B: 400 + [tex]8\sqrt{125[/tex]

pyramid A: 4 by 4= 16 cm.

with a height of 1 and length of 2, we use pythagorean theorem to find height of other surfaces to be square root of 5. area of triangle is 1/2 bh

square root of 5 multiplied by 4 and divided by 2 is 2 root 5

multiply this by 4 sides total for 8 root 5

Add the 8 root 5 to 16

To find pyramid B: use ratio of 25:1 and multiply 16 by 25 to find 400, and root 5 to 125

Answer:

B. 5438

Step-by-step explanation:

[(78-65)×626]-2700=5438

The correct option is, (B) 5438

In general, profit is defined as the amount generated from the sale of a product, which should be greater than the product's cost price. It is the amount gained from any business activity. In other words, if a product's selling price (SP) is more than its cost price (CP), it is deemed a gain or profit. It refers to the financial gain obtained when the revenue from a company activity exceeds the costs of running the business, such as taxes and expenses.

Profit is better expressed in terms of cost and sale price. The cost price of a product or commodity is the price at which it is purchased, whereas the selling price is the price at which it is sold. If the selling price of the commodity is more than the cost price, the company has made a profit. Profit or Gain = Selling Price – Cost Price is the formula for calculating profit.

However, when a product is sold for less than its cost price, it is referred to as a loss. As a result, loss equals cost price minus selling price.

According, to the question:

A business makes 78.00 per unit and pays 2,700.00 in monthly charges, such as rent and bills, plus 65.00 in manufacturing costs each unit. If the firm sold 626 units in the previous month.

[(78-65)×626]-2700

= 5438

Hence, The company's overall profit is 5438.

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Answer:

A and C

Hope this helps!!!! :)

Answer:

(8.4 * 6.4) - (2.2 * 0.8)

Step-by-step explanation:

52 square meters of garden is not used to grow lettuce.

A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.

For the given situation,

The school garden is in the shape of the rectangle.

The school garden's length = 8.4 meters

The school garden's wide = 6.4 meters

The section used to grow lettuce, length = 2.2 meters

The section used to grow lettuce, width = 0.8 meters

Area of garden is not used to grow lettuce is

⇒ [tex][(8.4)(6.4)-(2.2)(0.8)][/tex]

⇒ [tex][53.76-1.76][/tex]

⇒ [tex]52[/tex]

Hence we can conclude that 52 square meters of garden is not used to grow lettuce.

Learn more about the rectangles here

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Answer:

5 1/3 or 5.333 or 16/3

Step-by-step explanation:

Yespp

Step-by-step explanation:

1 1/12+4/512=5 6/12= 5 1/2

Answer:

i think it is 47

Step-by-step explanation:

Answer:

errrr- I dont know but good luck !

Step-by-step explanation:

Answer:

Most likely A

Step-by-step explanation:

Considering at the beginning it says the gene for back coat color is dominant, it makes brown coat color less dominant

Answer:

x=100

Step-by-step explanation:

x+80=180...(angles on a straight line add up to 180 degrees )

x=180-80

x=100

Answer:

Vertical angles x= 100 sorry if i'm wrong

Step-by-step explanation:

Answer: Its 140

Step-by-step explanation:

I do russian math too... :(

but ya I don't know how to do it.

Applying the angles of intersecting chords theorem, the measure of arc EI is: 140°.

Based on the angles of intersecting chords theorem, the measure of the vertical angle formed when two chords intersect equals half the sum of the measures of the intercepted arcs.

Given the following:

m∠K = 1/2(2(EY) -m(JL))

25 = 1/2(2(m(EY)) -m(JL))

50 = 2(m(EY)) -m(JL)

m(JL) = 2(m(EY)) - 50

m∠EXY = 1/2(m(JL) + m(EY) [angles of intersecting chords theorem]

Substitute

80 = 1/2[2(m(EY)) - 50 + m(EY)]

2(80) = 2(m(EY)) - 50 + m(EY)

160 = 3(m(EY)) - 50

160 + 50 = 3(m(EY))

210 = 3(m(EY))

210/3 = m(EY)

m(EY) = 70°

m(EI) = 2(m(EY)) = 2(70)

m(EI) = 140°

Therefore, applying the angles of intersecting chords theorem, the measure of arc EI is: 140°.

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Answer:

352 square feet

Step-by-step explanation:

201-25=176

176/.50=352 square feet

Answer:

See below-

Step-by-step explanation:

It depends on if you are transforming O to P or P to O

O to P would be rotate counterclockwise translate down 4

using the point (-3,2) from P and it's corresponding point from O (6,3)

rotate 90 counterclockwise (x,y)--> (-y,x) From point O - (6,3)--> (-3,6)

so after the rotation that point would be at (-3,6) to get the point to (-3, 2) move it down 4. so it is translated down 4

if you are transforming O to P is would be the opposite

rotate 90 clockwise and translate up 4

Answer:

i think it was A

Answer:

33.75

20

3624

35

the above numbers are for each of the blanks

the mean - 928.19

Step-by-step explanation:

Answer:

-4f

Step-by-step explanation:

-8f+2f=-6f then -6f+2f (since its a positive number) = -4f

Answer:

its easy its like adding

-4f

Step-by-step explanation:

add -8f and 2f

which equals -6f+2f

and then add those two

which then gives -4f

hope it helps!

Answer:

Step-by-step explanation:

Ratio of string and charms:

Solve by cross-multiplication

The fraction of all charms to number of used:

Answer:

im leaning option D

Step-by-step explanation:

Answer:

18 square units

Step-by-step explanation:

The area of a rectangle is simply it's base length multiplied by its height.

A = b × h

Since a rectangle has all right angles, it must have two sets of parallel sides.

Given the coordinates (0, 0), (3, 0), (0, 6) which are vertices of the rectangle. You can find the distance between each point to get the side length and then multiply the two side lengths together.

Given:

The figure of a right triangle.

To find:

The length of AB.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Using this trigonometric ratio for the given triangle, we get

[tex]\cos A=\dfrac{AB}{AC}[/tex]

[tex]\cos (60^\circ)=\dfrac{AB}{10}[/tex]

[tex]\dfrac{1}{2}=\dfrac{AB}{10}[/tex]

[tex]\dfrac{1}{2}\times 10=AB[/tex]

[tex]5=AB[/tex]

Therefore, the length of AB is 5 units.