18. Be Precise The table shows how much a frozen yogurt shop charges for its yogurt. Write an expression to show how much it costs to buy a small yogurt with no toppings and a large yogurt with x toppings. Then find the total cost for a small yogurt with no toppings and a large yogurt with 3 toppings.​

Let's use Newton's second law of motion:

F = m*a

Where:

F= Force = 500

m = mass = 50

a = acceleration

So:

500 = 50*a

Solve for a:

Divide both sides by 50:

500/50 = 50a/50

10 = a

a = 10m/s²

According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

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Answer:

210

Step-by-step explanation:

210 students attend the school. if 60 students are taking art, and there are 2 art students in every 7 students, that means there are 30 groups of 7 because 30×2=60 so since the other 5 do not take art, you would multiply 30×5 and get 150. Then you would add 60 and you would get 210

Therefore , the solution of the given problem of interest comes out to be

$4,962.93 money more made by Alexander.

Simple interest is calculated by dividing the principal by the borrowing cost, the remaining time, and other elements. The simple return formula in marketing is principal + interest plus hours. Utilizing this method is the simplest way to calculate interest. As a percentage of the principle sum is the most frequent way to calculate income. For instance, he will only pay his portion of the 100% cost if he borrows $100 from a friend and agrees to pay the loan back with 5% interest.. You have to pay interest on money you borrow, and you have to charge interest on money you lend.

Here,

Given :

Luke :

Principal amount = $86,000

and rate of interest =  5 ⅛ % or 41/8% or 5.125%

Alexander :

Principal amount = $86,000

rate of interest = 5 ⅝ % or 45/8% or 5.625%

To find the amount of money after time =8 years.

So ,

using compound formula :

=> A = P\((1 + r/n)^{nt}\)

For luke = P=86000\((1 + 41/8*1)^{1*8}\) = $42,276.33

For  Alexander =   P=86000\((1 + 45/8*1)^{1*8}\) = $47,239.26

The amount made by Alexander by luke

=> 47,239.26 - 42,276.33 = 4,962.93

Therefore , the solution of the given problem of interest comes out to be

$4,962.93 money more made by Alexander.

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The transformed function can be written as:

g(x) = 6*log₆(x) - 5

We start with the function f(x), if first we apply a vertical dilation of scale factor 6 we will get:

g(x) = 6*f(x)

If now we apply a translation of 5 units down, we will get:

g(x) = 6*f(x) - 5

We know that f(x)=  log₆(x), then the transformed function is:

g(x) = 6*log₆(x) - 5

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Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

Answer:

A 1

Step-by-step explanation:

1/3×1/3=1/9x1/3=1/27

27x1/27=1

The coffee club's assertion that the percentage of bags containing collectible cards is less than 0.2 is unsupported by sufficient data.

To test whether the coffee club's belief that the proportion of bags with collectable cards is less than 0.2 is supported by the sample, conduct a hypothesis test.

Null Hypothesis: The proportion of bags with collectable cards is equal to or greater than 0.2.

Alternative Hypothesis: The proportion of bags with collectable cards is less than 0.2.

Let p be the true proportion of bags with collectable cards in all Joe Coffee bags. Use a one-sample proportion test to test this hypothesis.

The test statistic is calculated as follows:

z = (p - p₀) / √(p₀(1-p₀)/n)

where p = sample proportion (11/65), p₀ = hypothesized proportion (0.2), and n = sample size (65).

Using a significance level of 0.05, the critical z-value for a one-tailed test is -1.645.

Calculating the test statistic:

z = ((11/65) - 0.2) / √(0.2(1-0.2)/65) = -1.469

Since -1.469 is not less than -1.645, we fail to reject the null hypothesis. There is not enough evidence to support the coffee club's belief that the proportion of bags with collectable cards is less than 0.2.

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Answer:

a) 293 units

b) 5795p

Step-by-step explanation:

First, determine how many units used

Take the new reading and subtract the old reading

6538 - 6245

293 units

The first 200 is at 22p

200 * 22 p =4400p

293 -200 = 93 units at the remaining unit price.

93 * 15 p =1395p

Add the two totals together

4400p + 1395p =5795p

Therefore , the solution of the given problem of circle comes out to be  radius = 20.72 ft.

A circle is formed by each section of an aircraft a certain distance from this new location (center). It is made up of surfaces and curvilinear zones that are isolated from one another. It also revolves uniformly around the centre in all directions. Every circumference of end is equally distanced from the "central" in some kind of a circle, restricted double sphere. By looping a string across a circle, one can create a line that is symmetrical and leads to a circle.

Here,

=>  Size of the Arc ABC= θ × (π/180) × r

=>  110 = 304 * ( 22 /7 )/ 180 * r

=>  r = 110 * 180 * 7 / (304 * 22)

=> r = 20.72

Thus , radius = 20.72 ft.

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Answer:

21 years

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Let number be x

ATQ

\(\\ \bull\longmapsto \dfrac{7}{11}-\dfrac{x}{3}=\dfrac{24}{55}\)

\(\\ \bull\longmapsto \dfrac{7}{11}-\dfrac{24}{55}=\dfrac{x}{3}\)

\(\\ \bull\longmapsto \dfrac{35-24}{55}=\dfrac{x}{3}\)

\(\\ \bull\longmapsto \dfrac{11}{55}=\dfrac{x}{3}\)

\(\\ \bull\longmapsto \dfrac{1}{5}=\dfrac{x}{3}\)

\(\\ \bull\longmapsto 5x=3\)

\(\\ \bull\longmapsto x=\dfrac{3}{5}\)

Step-by-step explanation:

hope it's helpful for you

pls mark above guy ans as brainliest

Answer:

Top to bottom, splits it in half

Step-by-step explanation:

Step-by-step explanation:

1. Let's simplify step-by-step.

15−3v

=15+−3v

Answer: -3v+15

2. Let's simplify step-by-step.

8+4a

Answer:

=4a+8

3.Let's simplify step-by-step.

42+7v

Answer:

=7v+42

4.Let's simplify step-by-step.

27+9v

=9v+27

5.Let's simplify step-by-step.

27+9v

=9v+27

6.Factor 7r+49

7r+49

=7(r+7)

Answer:

7(r+7)

7.Factor 33+11s

11s+33

=11(s+3)

Answer:

11(s+3)

8.Factor 30+5b

5b+30

=5(b+6)

Answer:

5(b+6)

Answer:

42

Step-by-step explanation:

let's make the missing number x

\(mean = \frac{sum \: of \: numbers}{how \: many \: numbers \: there \: are} \)

\(41 = \frac{48 + 33 + x}{3} \)

multiply 3 on both sides to get rid of the fraction, 41 × 3 = 123

\(123 = 48 + 33 + x\)

simplify the right side, 48 + 33 = 81

\(123 = 81 + x\)

subtract 81 on both sides

\(123 - 81 = x\)

\(x = 42\)

Answer: $12.4

Step-by-step explanation:

34.72/2.8 hours = 12.4 dollars/hr

The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.

The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.

Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).

The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).

To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.

In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.

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Answer:

3/16

Step-by-step explanation:

In order to get the amount of water to fill a bin, we just divide the amount of water by the fraction of the bin it fills. This makes the unit of the resulting answer as gallons/bin or gallons per bin.

Answer:

1.x=-8

Step-by-step explanation:

3x+12=-12

   -12   -12

3x=-24

/3    /3

x=-8

The mixture must be heated an amount of 23 °F to reach a temperature of 132 °F.

Temperature is the measure of how "hot" a system is. Physically speaking, temperature is closely related to atomic and molecular motion within a system. In this problem we find a mixture that must be at a certain temperature, higher than its real one.

Therefore, the amount required to increase the temperature of the mixture is defined by following subtraction:

ΔT = R - r

Where:

If we know that r = 109 °F and R = 132 °F, then the temperature difference is:

ΔT = 132 °F - 109 °F

ΔT = 23 °F

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One of the possible solutions to this system of linear inequation is

(10, 5).

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Bilquis has x dimes and y nickels.

We know a nickel is 5 cents and a dime is 10 cents.

She has at least 15 coins,

∴ x + y ≥ 15...(i)

She has no more than $1 combined.

0.05x + 0.1y ≤ 1...(ii)

The possible solution of these two inequalities by the graphing method we get (10, 5)

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Answer:

Step-by-step explanation:

This can happen because of the timestamp on the toll card. When you pass through the initial entrance point the timestamp marks the exact moment you passed. When you pass through the exit toll point the individual subtracts the current time from the time you entered the initial toll entrance. From this, he can easily determine the average speed that you were driving at. If the average speed is higher than the speed limit, it means that at some point between the two toll booths you were speeding and therefore they can give you a speeding ticket.

The volume of this rectangular prism include the following: 84.375 cubic meters.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have the following;

Volume of rectangular prism = 5 × 4 1/2 ×  3 3/4

Volume of rectangular prism = 5 × 4.5 ×  3.75

Volume of rectangular prism = 84.375 cubic meters.

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Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

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The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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The method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.

In order to enhance strong number sense in children, there are various methods that can be used.

In the given scenario, Mme Potatana asked the children to count as a whole class from 1 to 20 while Ntate Mafodi asked the children in his class to count seeds from the school's ground in a pile by touching each as they count.

Both methods have their own benefits, but the method of counting seeds by touching each can be more effective in enhancing strong number sense in children.

The method of counting seeds by touching each can be more effective in enhancing strong number sense in children because it allows them to experience each number physically.

This helps them in developing a strong sense of numbers. By touching each seed as they count, children can feel and see each number, which helps them in understanding numbers better. Additionally, it helps in developing the concept of one-to-one correspondence and counting by rote.

Here are some appropriate examples for enhancing strong number sense using the method of counting seeds by touching each:

1. Use counters: Provide children with counters such as small objects, blocks, or toys. Ask them to count the number of counters by touching each as they count.

2. Counting on fingers: Encourage children to count on their fingers. This helps them in developing a strong sense of numbers and helps them in understanding the concept of one-to-one correspondence.

3. Counting objects in a pile: Ask children to count objects in a pile by touching each as they count. This helps in developing the concept of counting by rote and helps in enhancing strong number sense.

Overall, the method of counting seeds by touching each can be more effective in enhancing strong number sense in children as it allows them to experience each number physically and helps them in developing a strong sense of numbers.

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The paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.

The paycheck can be computed by working out the base salary, overtime pay if any, and the sales commission separately and adding up these.

Some deductions (withholding taxes and insurance) are made to the gross pay to arrive at the paycheck, which is known as the net pay.

Base salary = $10.00 per hour

Overtime pay = 1.5 of the base salary per hour

Work week = 40 hours

Commission on total sales = 3%

Sales for a month = $3,000

Commission on $3,000 sales = $900 ($3,000 x 3%)

Base salary for two weeks = $800 ($10 x 40 x 2)

Paycheck = $890 ($800 + $900)

Thus, the paycheck of the salesperson at the clothing store for two weeks will amount to c. $890.

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