Carmen made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $153?

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Four triangles can create a set of pattern blocks that includes a total of four rhombuses.

To understand why, it's essential first to understand what pattern blocks are. Pattern blocks are shapes that are commonly used in early childhood education to teach math concepts like geometry, spatial reasoning, and fractions. They come in different shapes, including triangles, squares, hexagons, trapezoids, and rhombuses.

To create a set of pattern blocks using triangles, one can use four equilateral triangles with the same side length. When these triangles are arranged together, they form a larger equilateral triangle, as each external side of each small triangle connects to a side of another triangle. This larger equilateral triangle can then be divided into four smaller rhombuses by using two diagonals (lines connecting opposite corners) to form a "X" shape. Each of these four smaller rhombuses is made up of two adjacent triangles and forms a diamond shape. Therefore, it can be said that four equilateral triangles can form a set of four rhombuses within an equilateral triangle pattern block set.

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The needed number of days at 10 degrees is given as follows:

11 days.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:

m = -2/5

m = -0.4.

Hence the time needed for a temperature of 10 degrees is given as follows:

9 + 2 = 11 days.

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Answer:

B) $3.56

Step-by-step explanation:

The price of one egg: $1.69

The price of a slice of bacon: $1.49

The price of a glass of orange juice: $1.09

Sara buys 2 eggs, 1 slice of bacon, and 1 glass of orange juice.

(2 eggs x $1.69) + (1 bacon x $1.49) + (1 glass of oj x $1.09) =

($3.38) + ($1.49) + ($1.09) = $5.96

Next, add the total gotten with the sales tax.

Sales tax: $0.48

$5.96 + 0.48 = $6.44

Then, subtract the total from the $10 that she used to pay:

$10 - 6.44 = $3.56

B) $3.56 is your answer.

~

Answer:

3.56

Step-by-step explanation:

because first, you 1.69$ dollars 2 times since your ordering it 2 times which gets you 3.38 $ next you add 1.49$ dollars because that's what a slice of bacon cost, then add1.09 since that's what a cup of orange juice cost. Then add  0.48 cents because that's the sale tax, at the end when you add everything up you get 6.44$ then subtract that from 10.00, then you get your answer!

Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.

This shows, with dots, the number of times that each of the measures appears in a data set.

For finding the dot plot, we have that:

The shortest conifer measures 6 and 1/4

= 6.25 inches.

The tallest conifer measures 9.5 inches.

The difference is:

9.5 - 6.25 = 3.25 inches.

Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.

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Answer:

Drop Down 1:

Volume

Drop Down 2:

Day

Answer:

2=4x/2x

2=2x

x=2/2

x=1

Answer:

Step-by-step explanation:

sin(a+b)=sin(a)cos(b)+cos(a)(sin(b)

sin(4x)=sin(2x+2x)

sin(2x+2x)=sin(2x)×cos(2x)+cos(2x)×sin(2x)

simplified to

2sin(2x)cos(2x)

The length of the third side is 2√34 + 6.

We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let x be the length of the third side. Then we have:

2√34 + 6 > x

Subtracting 6 from both sides, we get:

2√34 > x - 6

Adding 6 to both sides, we get:

x < 2√34 + 6

Therefore, the length of the third side must be less than 2√34 + 6.

To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:

2√34 + 6 = x

If this is true, then the given sides can form a triangle.

Simplifying the equation, we get:

x = 2√34 + 6

The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.

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Answer:

because it just is

Step-by-step explanation:

Answer:

$111.52

Step-by-step explanation:

You have to divide your total amount by 1.15 and that will give you your answer. To check your work you can add your answer and 15% of your answer together. {111.52+(111.52x0.15)=128.25}

The true statement is (b) she did not represent the two original factors correctly on the headers

The product expression is given as:

(-2x - 1)(2x - 1)

Expand the expression

(-x - x - 1)(x + x - 1)

This means that the header of the algebra tiles would be:

-x, -x, 1 and x, x and -1

From the figure, we can see that this is incorrectly represented

Hence, the true statement is (b)

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Answer:

18

Step-by-step explanation:

PEMDAS

I hope this helped

It will take 150 minutes for the two containers to have the same amount of water.

To find the number of minutes it will take for the two containers to have the same amount of water, we need to use the following formula:

m = |A - B| / (a - b)

where m is the number of minutes, A is the initial amount of water in Container A, B is the initial amount of water in Container B, a is the rate at which water is being added to Container A, and b is the rate at which water is being drained from Container B.

In this case, the initial amount of water in Container A is 300 liters, the initial amount of water in Container B is 900 liters, the rate at which water is being added to Container A is 6 liters per minute, and the rate at which water is being drained from Container B is 2 liters per minute. Substituting these values into the formula, we get:

m = |300 - 900| / (6 - 2)

m = |-600| / 4

m = 600 / 4

m = 150 minutes

Therefore, it will take 150 minutes for the two containers to have the same amount of water.

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Answer:

(3 - 2i)(5 + 3i)

Step-by-step explanation:

if we multiply both parenthesis we can see that 21 - i = (3 - 2i)(5 + 3i)

First multiply 3 with (5 - 3i)

3 × (5 5 3i) = 15 + 9i

then we multiply -2i with (5 - 3i)

-2i × (5 + 3i) = -10i - 6i^2 since -i^2 is equal to -1 we can write the expression like this -10i + 6

now we find the sum of expressions

15 + 9i - 10i + 6 = 21 - i

Answer:

942 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

S = 2πr^2 + 2πrh

where S is the surface area, r is the radius, and h is the height.

Substituting the given values, we get:

S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5

S = 628 + 314

S = 942

Therefore, the surface area of the cylinder is 942 square millimeters.

The volume V(x) in cubic inches of the open-top box is (15\(x^{2}\) - 2\(x^{3}\))

and side of length x in inches of the square cutouts is

V(1) = 15 - 2 = 13

x ∠ 7.5

The vertical sides were 15 inches before we cut out the corners.  

The horizontal sides were 15 inches before we cut out the corners.

So now, if you fold all of the "tabs" up, you get a box that has a height of "x".  

The sides are now each missing a length of "x" from each end.  

So the longer edges of the box are now (15 - 2x) long.  

The shorter edges of the box are now (15 - 2x)

The volume of a box is given by V = (length)(width)(height)

 length = 15 - 2x

width and height of the box are equal to x in so

Multiply these together and get:

V(x) = (15 - 2x)(x)(x)

V (x)  =  (15\(x^{2}\) - 2\(x^{3}\))

let x = 1

V (x) =  (15\(x^{2}\) - 2\(x^{3}\))

V(1) = 15 - 2 = 13

First x must be greater than 0,

then, we have 2x ∠ 15

                          x ∠ 7.5

therefore, The volume V(x) in cubic inches of the open-top box is (15\(x^{2}\) - 2\(x^{3}\))

side of length x in inches of the square cutouts is

V(1) = 15 - 2 = 13

x ∠ 7.5

This unit has two parts:

The surface area of a box, and its volume

The length of the diagonal of a box

Each student should bring an empty cereal box (or some other box) to work on. (The length, width, and height of the box should all be different.)

Formula for the area of the surface

(a) If l, w, and h are the length, width, and height of a box, its surface area is given by surface area = 2*(l*w + l*h + w*h). (Do you see it?)

(b) Measurements

Measurements are made in inches and sixteenths of an inch, but they are recorded as decimals.

1/8 inch = .125 inch, ¼ inch = .25 inch, 3/8 inch = .375 inch, ½ inch = .5 inch, and so on.

Example:

length l = 8.375 inches

width w = 6.125 inches

height = 2.25 inches

(c) How to enter these measurements into a TI-108 calculator to get the surface area:

8.375*6.125 M+       51.29…

8.375*2.25 M+         18.84…

6.125*2.25 M+         13.78…

MRC * 2 =                167.84… square inches

We round this to 168 square inches (more or less)

Part 1b. We can also find the volume of the box:

volume = l*w*h = 8.375*6.125*2.25 = 115.4… cubic inches

If this were a hands-on unit, we would paper the box with square inch paper and fill the box with cubic inch blocks to see whether our computations are confirmed.

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Answer: 1

Step-by-step explanation:

1 is not a reasonable answer to this situation because 1 wouldnt value more than itself, i would be equal.

Answer:

The answer is 1, just trust me, Because 1>1 is not true, if this is true 1\(\geq\)1 but not this 1>1

Step-by-step explanation:

Answer:

What are you asking? What does it equal? W+2792=??

Answer:

there is no number that could fit, it actually could be anything, I think that there is a part of the problem not there that is a expression to solve that you need a equation

Step-by-step explanation:

Given:

h is composition of two functions f and g.

\(h(x)=(f\circ g)(x)\)

One of the function is 8x-9.

\(h(x)=(8x-9)^2\)

To find:

The functions f(x) and g(x).

Solution:

We know that,

\(h(x)=(f\circ g)(x)=f[g(x)]\)

We have,

\(h(x)=(8x-9)^2\)

Here, first function is 8x-9 and the second is square of it.

In \((f\circ g)(x)=f[g(x)]\), first function which is applied is g(x) and the second function is f(x).

Let \(g(x)=8x-9\) and \(f(x)=x^2\).

\(h(x)=f[8x-9]\)

\(h(x)=(8x-9)^2\)

So, our assumption is correct.

Therefore, the required functions are \(g(x)=8x-9\) and \(f(x)=x^2\).

Answer:

Step-by-step explanation:

\(7 - 1 \frac{3}{5} = 6 \frac{2}{5}\)

Answer:

D 3.5

Step-by-step explanation:

A number with a decimal can NOT represent a whole number.

It's larger on the screen so the factor is greater than 1.

Divide the size on the screen by the size on the transparency:

18 / 6 = 3

The scale factor is 3.

Answer:

3 I got it right

Step-by-step explanation:

Answer:

t = 19.7

Step-by-step explanation:

24.8 = t + 5.1

-5.1           -5.1

----------------------

19.7 = t

Answer: t = 19.7

Step-by-step explanation:

24.8 = t + 5.1

-t + 24.8 = 5.1

-t = 5.1 - 24.8

-t = -19.7 change both signs and t = 19.7

Answer:

They are dependent because we have to select from people who are given cards.

Step By Step Explanation:

So we'll take away people not given cards first den find the probability of selecting people with cards over the total number of people present .

Probability we'll be equal to = number of people with card(C) two persons/total number of people

Where C represent combination

The velocities of the boat and the person relative to the shore are 1.337 m/s and 2.896 m/s, respectively.

We can use the conservation of momentum equation:

(mboat + mperson) * vboat = mperson * vperson

(160 kg + 70 kg) * vboat = 70 kg * (0.80 m/s + vperson)

230 kg * vboat = 56 kg * (0.80 m/s + vperson)

vboat = (56/230) * (0.80 m/s + vperson)

vperson = 0.80 m/s + vboat

vperson = 0.80 m/s + (56/230) * (0.80 m/s + vperson)

(174/115) * vperson = (504/115) * m/s

Dividing both sides by (174/115), we get:

vperson = 2.896 m/s

vboat = (56/230) * (0.80 m/s + vperson)

Substituting the value of vperson, we get:

vboat = 1.337 m/s

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On a 160-kg boat that is at rest with its bow pointed to the shore, a 70-kg person begins to walk from the bow to the stern at 0.80 m/s relative to the boat. What are the velocities of the boat and the person relative to the shore? Neglect the resistance of water to motion.

Answer:highlight throw that tomato

Step-by-step explanation: