tim is buying packages of paper plates and cups. he wants to have equal amounts of each, but plates come 24 per pack, and cups come 16 per pack. what is the least amount of plates and cups tim will have to buy to get the same number of each?

B,C,D

Step-by-step explanation:

Answer:

eda periodt

Step-by-step explanation:

In the graph of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

The simple linear regression equation represents a linear relationship between a dependent variable and an independent variable. It can be written as y = ß0 + ß1x, where ß0 is the intercept and ß1 is the slope of the regression line.

The slope (ß1) determines the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It represents the steepness or inclination of the regression line. The sign of ß1 indicates whether the line has a positive or negative slope, indicating the direction of the relationship between the variables.

Thus, in the context of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

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Given:

Amount Kathy paid down = $1500

Percentage it represents = 8% of the total cost = 0.08

Let's find the total cost of the car.

To find the total cost of the car since $1500 represents 8% of the total cost, we have:

0.08x = 1500

Where x is the total cost of the car.

Let's solve for x in the equation.

Divide both sides by 0.08

Therefore, the total cost of the car is $18,750

ANSWER:

$18,750

Answer: 50+10w=200    w=15

Step-by-step explanation:

So we know that Kareem starts off with $50 and every week he gains an additional $10 so as many weeks it takes to get $150 in addition to the $50 he already has to get $200. so $50+$10w=$200 where w represents the number of weeks it takes until the sum is 200

Answer:

x = 3

Step-by-step explanation:

8.4 ÷ 6 = 1.4

4.2 ÷ 1.4 = 3

Height of the kite above the ground is 13.6 feet.

    Given in the question,

Apply sine rule in the given triangle ABC,

\(\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

\(\text{sin}(27^0)=\frac{AB}{30}\)

BC = 13.6 feet

    Therefore, height of the kite above the ground is 13.6 feet.

Option (B) will be the answer.

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Answer:

add 9 to both sides of the equation

Step-by-step explanation:

Answer:

second one/ light green

=================================================

Explanation:

For this problem, we can make a lattice multiplication diagram. Place the digits of 124 across the top of the lattice multiplication box. Then place the digits along the right hand side of the box. Refer to figure 1 in the diagram below. I've color-coded the alternating bands of diagonals to help be able to add the values we need.

In figure 2, I multiplied all of the outer header single-digit values to get two-digit results. For instance, in the bottom right corner we have 4*3 = 12. Note how the 1 and the 2 of "12" is broken up like you see in figure 2. It's important to separate out the digits like this.

This is because we'll be adding along the diagonal color bands. The 2 in the white triangle in the very bottom right corner is the last digit of the product. This matches with 64086e2 having 2 as the last digit.

Then we add along the diagonal pink color band getting 6+1+2 = 9. This is the digit e. So e = 9 (refer to figure 3). The number 64086e2 updates to 6408692

We could keep going with the lattice process, but I'll stop here and move onto the next section below.

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

Let m = 6408692

We can do trial and error to determine what d must be equal to. The list of choices we have are {0,1,2,3,4,5,6,7,8,9}

So let's go through those possible values of d

Since d = 6 and e = 9, this means d+e = 6+9 = 15.

The statement is generally true.

In materials science, the close-packing of atoms in crystal structures can affect the mechanical properties of the material, such as its ductility and ability to undergo plastic deformation.

In general, structures with closely packed planes (i.e., structures with a higher atomic packing factor) are more likely to undergo plastic deformation because the closely packed planes allow for more slip planes for atoms to move along without disrupting the overall crystal structure.

This means that when a force is applied to the material, the planes can slide more easily past one another, leading to plastic deformation.

In contrast, structures that are not closely packed (i.e., structures with a lower atomic packing factor) have fewer slip planes and are less likely to undergo plastic deformation. Instead, they may experience brittle fracture or other types of failure when subjected to stress.

However, it is important to note that the relationship between atomic packing and plastic deformation is complex and depends on a variety of factors, including the type of crystal structure, the presence of defects or impurities in the material, and the conditions under which the material is being deformed.

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The cross of a red oval with a purple oval will produce approximately 44.4% red long, 22.2% red oval, 22.2% purple long, and 11.1% purple oval offspring.

Based on the information given, we can represent the pure-breeding colors and shapes as follows:

Red color (RR) is dominant over white color (rr)

Long shape (LL) is dominant over round shape (ll)

We can also represent the hybrids as:

Purple color (Rr) is a result of a cross between red and white pure-breeding colors

Oval shape (Ll) is a result of a cross between long and round pure-breeding shapes

Given that we are crossing a red oval (RrLl) with a purple oval (RrLl), we can set up a Punnett square to determine the possible genotypes and phenotypes of their offspring:

RL Rl rL rl

RL RRLl RRll rRLL rRlL

Rl RRLl RRll rRLL rRlL

rL RrLL RrLl rrLL rrLl

rl RrLl Rrll rrLl rrll

From the Punnett square, we can see that there are nine possible phenotypes, which can be grouped by color and shape:

Red long (RRLL, RRLl, RrLL, RrLl): 4/9 or about 44.4% chance

Red oval (RRll, Rrll): 2/9 or about 22.2% chance

Purple long (rRLL, rRlL): 2/9 or about 22.2% chance

Purple oval (rrLL, rrLl, rrll): 1/9 or about 11.1% chance

Therefore, the cross of a red oval with a purple oval will produce approximately 44.4% red long, 22.2% red oval, 22.2% purple long, and 11.1% purple oval offspring.

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Step-by-step explanation:

a fraction is x/y.

so, now we need to put the numbers in as defined. yes, and then simplify.

140 students, 60 are male. that means 140 - 60 = 80 are female.

a)

60/80 = 6/8 = 3/4

b)

80/60 = 8/6 = 4/3

c)

60/140 = 6/14 = 3/7

d)

140/80 = 14/8 = 7/4

Answer:

the first one

Step-by-step explanation:

The second equation doesn't make sense because that's not a true statement. The third equation uses the associative property so the answer must be the first one.

The size of the population after 3 months is approximately 1682.

Explanation:

(a) Given P’(t) = 500t * e^(-t^2/5), we need to find the formula for the population size after t months, given that the population is 2000 at t=0.

So, we need to integrate the function P’(t) to get the population function P(t).That is, P(t) = ∫P’(t)dt= ∫500t * e^(-t^2/5) dtLet’s use the substitution u = -t^2/5So, du/dt = (-2/5)*t

Now, dt = (5/(-2)) * duSubstituting the above values, we get:P(t) = ∫500t * e^(-t^2/5) dt= -250 ∫-t * e^u du= -250 e^u (-t - 5/2) + C= -250 e^(-t^2/5) (t + 5/2) + C

Now, P(0) = 2000Substituting this in P(t), we get:2000 = -250 e^(0) (0 + 5/2) + C= -1250 + CSo, C = 1250

Therefore, P(t) = -250 e^(-t^2/5) (t + 5/2) + 1250(b)

To find the size of the population after 3 months, we need to substitute t=3 in the function P(t) found in part (a). That is:P(3) = -250 e^(-3^2/5) (3 + 5/2) + 1250= 1681.8 (approx.)

Therefore, the population size after 3 months is approximately 1682.

(a) P(t) = -250 e^(-t^2/5) (t + 5/2) + 1250

The size of the population after 3 months is approximately 1682.

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Answer:

R180

Step-by-step explanation:

Adjusted income = (original pocket money x new ratio) / old ratio

( 6 x $150) / 5 = $180

Answer:

9

Step-by-step explanation:

let a = 2

b = 5

2a + b

Substituting the values,

=> 2(2) + 5

=> 4 + 5

=> 9

Let us consider that a = 2 ; b = 5

So, 2a + b

Substitute,

2a + b

→ 2×2 + 5

→ 4 + 5

→ 9

Hope it helps you...

Answered by Benjemin

Convert 124 7/8 to 999/8

In 25 minutes, 999/8 is drained -> every minute, 999/200 is drained (4.995)

Answer:

2/4a-4

Step-by-step explanation:

dividing 2/4a-4 is =1/2a-4

Answer:

3645 to 9.29

Step-by-step explanation:

Leeann provided a clue or hint for her friend to guess the name of her favorite actor.

By giving the first initial of both the first and last name, she offered a partial but crucial piece of information to narrow down the possibilities. This clue could be seen as a form of "initialism" or "initial hint."

Using initials to represent names or words is a common practice to create puzzles, riddles, or guessing games.

In this case, Leeann employed the initial hint strategy to engage her friend in a guessing game, making it more fun and challenging.

By providing the first initials, Leeann ensured that her friend had a starting point and could begin narrowing down the list of potential actors.

By not revealing the full names, Leeann added an element of suspense and intrigue to the conversation.

This approach encouraged her friend to think creatively, consider different options, and ultimately engage in an interactive and entertaining exchange.

The use of a partial clue not only sparked curiosity but also allowed Leeann's friend to actively participate in the guessing process, making it a shared experience between the two friends.

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Step-by-step explanation:

2x = x + 30

due to the fact that x is the number added to 30 and the second number is twice as much as x

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The function y = \(3x^3 - 3\) is a non linear function.

A linear function is a function that can be expressed in the form y = mx + b. where m and b are constants and x and y are variables. In other words, a linear function has a constant slope and is a straight line when graphed.

However, the function y = \(3x^3 - 3\)  does not have a constant slope and does not plot as a straight line.

is a cubic function, has degree 3, and its graph has a characteristic S-shape. So this is a non-linear function.

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The true statement is (c). The coefficients of x^n and y^n are both equal

From the question, we have the following parameters that can be used in our computation:

(x + y)^n

When the above expression is expanded, we have

(x + y)^n = x^n + ..... + y^n

See that the coefficients of x^n and y^n is 1

This means that they have equal coefficient of 1

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Answer:

non of these answers are correct.

Answer:

\(52^{\circ}\)

Step-by-step explanation:

Explanation is attached below.

To determine the final temperature after mixing 10 grams of steam at 100 degrees Celsius with 50 grams of ice at 0 degrees Celsius, we need to calculate the amount of heat exchanged between the two substances.

First, we need to determine the heat absorbed or released during the phase change of ice to water at 0 degrees Celsius. This can be calculated using the equation:

\(\[ Q = m \cdot L \]\)

where \(\( Q \)\) is the heat absorbed or released, \(\( m \)\) is the mass of the substance, and \(\( L \)\) is the latent heat of fusion for ice. For water, the latent heat of fusion is approximately 334 J/g.

\(\[ Q_{\text{ice}} = 50 \, \text{g} \times 334 \, \text{J/g} = 16700 \, \text{J} \]\)

Next, we need to calculate the heat absorbed or released during the temperature change of water from 0 degrees Celsius to the final temperature. This can be calculated using the equation:

\(\[ Q = m \cdot C \cdot \Delta T \]\)

where \(\( Q \)\) is the heat absorbed or released, \(\( m \)\) is the mass of the substance, \(\( C \)\) is the specific heat capacity of water, and \(\( \Delta T \)\) is the change in temperature.

For water, the specific heat capacity is approximately 4.18 J/g°C.

\(\[ Q_{\text{water}} = 10 \, \text{g} \times 4.18 \, \text{J/g°C} \times (\text{final temperature} - 0°C) \]\)

Since the steam condenses into water, it releases its latent heat of vaporization. The latent heat of vaporization for water is approximately 2260 J/g.

\(\[ Q_{\text{vaporization}} = 10 \, \text{g} \times 2260 \, \text{J/g} = 22600 \, \text{J} \]\)

The total heat exchanged can be calculated by summing up the heat absorbed or released in each step:

\(\[ \text{Total heat exchanged} = Q_{\text{ice}} + Q_{\text{water}} + Q_{\text{vaporization}} \]\)

Now, we can set up an energy conservation equation:

\(\[ \text{Total heat exchanged} = 0 \quad (\text{since no energy is gained or lost in the system}) \]\)

\(\[ 16700 \, \text{J} + 10 \, \text{g} \times 4.18 \, \text{J/g°C} \times (\text{final temperature} - 0°C) + 22600 \, \text{J} = 0 \]\)

Simplifying the equation:

\(\[ 10 \, \text{g} \times 4.18 \, \text{J/g°C} \times (\text{final temperature} - 0°C) = -39300 \, \text{J} \]\)

\(\[ \text{final temperature} - 0°C = -3930 \, \text{J/°C} / (10 \, \text{g} \times 4.18 \, \text{J/g°C}) \]\)

\(\[ \text{final temperature} \approx -94°C \]\)

The negative value indicates that the final temperature is below 0 degrees Celsius, which means the mixture would still be in a frozen state.

Therefore, the approximate final temperature after mixing 10 grams of steam at 100 degrees Celsius with 50 grams of ice at 0 degrees Celsius is -94 degrees Celsius.

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Answer:

D

Step-by-step explanation:

Either try all the numbers and see which ones work or do the following.

Times both sides by 2x-5.

3=x(2x-5)=2x^2-5x

Rearrange and solve the quadratic. I will factorise.

2x^2-5x-3=0

(2x+1)(x-3)=0

so x = -1/2 or 3