While shopping for​ clothes, Curtis spent ​$78 less than 3 times what Daniel spent. Curtis spent ​$21. Write and solve an equation to find how much Daniel spent. Let x represent how much Daniel spent.

Note that a total of 250 volunteer hours is required to get the silver cord at graduation at cypress bay high school.

The Silver Cord program is a distinguished award available to high school students with the purpose of recognizing their out of school volunteer efforts.

Volunteer efforts are recognized within the context of theSilver Cord program   to acknowledge and celebrate the contributions that high school students make to their communities through volunteer work.

By engaging in voluntary activities outside of school hours, students demonstrate their commitment to   service, leadership, and making a positive impact on society,which aligns with the values promoted by the program.

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The two points on the curve where the tangent line has a slope of 1 are (4/27, 170/3) and (784/27, 250/3)

To find where the tangent line has slope 1, we need to find where dy/dx = 1.

Using the chain rule, we have:

dy/dx = dy/dt * dt/dx

= (dy/dt)/(dx/dt)

= (40 - 52t) / (12t²)

So, we need to solve the equation

(40 - 52t) / (12t²) = 1

Simplifying, we get

52t = 12t² - 28

3t² - 13t + 7 = 0

Solving this quadratic equation, we get:

t = (13 ± √(13² - 437)) / (2*3)

t = 1/3 or t = 7/3

So, the corresponding x-values are

x = 4t³ = 4*(1/3)³ = 4/27 or x = 4*(7/3)³ = 784/27

And the corresponding y-values are:

y = 5(40t - 26t²) = 170/3 or y = 250/3

Therefore, the points where the tangent line has slope 1 are

(smaller x-value) = (4/27, 170/3)

(larger x-value) = (784/27, 250/3)

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Dilation involves changing the size of a quadrilateral or any shape

The coordinates of the image of the dilation are: \(W^{\prime}=(1 / 4,-3), X^{\prime}=(10,0)$, $Y^{\prime}=(7,-9)$\) and \($Z^{\prime}=(4,-9)$\)

This is further explained below

The vertices of the pre-image are given as:

W=(0,-4)

X=(13,0)

Y=(9,-12)

Z=(5,-12)

The scale factor is given as:

k=3 / 4

The center of dilation is given as:

(a, b)=(1,0)

To calculate the vertices of the image, we make use of the following formula \($\left(x^{\prime} y^{\prime}\right)=(k(x-a)+a, k(y-b)+b)$\)

So, we have:

W'=(3 / 4(0-1)+1,3 / 4(-4-0)+0)

W'=(1 / 4,-3)

X'=(3 / 4(13-1)+1,3 / 4(0-0)+0)

X'=(10,0)

Y'=(3 / 4(9-1)+1,3 / 4(-12-0)+0)

Y'=(7,-9)

Z'=(3 / 4(5-1)+1,3 / 4(-12-0)+0)

Z'=(4,-9)

Hence, the coordinates of the image of the dilation are:

W'=(1 / 4,-3),

X'=(10,0),

Y'=(7,-9)

Z'=(4,-9)

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Answer:

a0 = 4

Step-by-step explanation:

Answer:

It should be the first one sorry if I’m wrong.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

ez quiz

Subract what she rode already from total:

48-18 = 30

Divide by number of days:

30/4 = 7.5

she will need to ride 7.5 miles per day

The weight of the Avery's lunch box using given weights is equal to 0.92 pounds (rounded to two decimal places).

Total weight of the backpack= 2 2/3 pounds

                                                = 8/3 pounds

The weight of the each book =7/8 pounds.

Let x be the weight of the lunch box in pounds.

An equation that represents the total weight in Avery's backpack,

2(7/8) + x = 8/3

To solve for x, simplify and solve for x,

⇒14/8 + x = 8/3

Multiplying both sides by 24 the least common multiple of 8 and 3 to clear the fractions,

⇒42 + 24x = 64

Subtracting 42 from both sides,

⇒24x = 22

Dividing both sides by 24,

⇒x = 22/24

Simplifying the fraction,

⇒x = 11/12

     =  0.92 pounds (rounded to two decimal places).

Therefore, the  weight of the lunch box is equal to 0.92 pounds (rounded to two decimal places).

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Answer:

D, D, B, A, None

Step-by-step explanation:

-15 + -14 + -13 + -12 = -54

-12 + -10 + -8 + -6 = -36

16+ 18+ 26 = 54

-10 + -8 + -6 + -4 = -28

No answers are correct...

The measure for the unknown angle is 65 degrees.

The two perpendicular lines form a right angle. A right angle would always have a value of 90 degrees.

In order to determine the unknown angle, subtract 25 degrees from 90 degrees.

90 - 25 = 65 degrees

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Based on the graph of this exponential function, the domain and range are as follows;

Domain = x > 0.

Range = y ≥ 2.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = x > 0.

Range = {2, ∞} or {y|y ≥ 2}.

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Answer:

1. x=a+b

2.k=-1/3m

3.b=1/2d+9/2

4.???

5.y=3h

6.-5/7+3/7d

7.5-7/2a

8.1/5w-4x

Step-by-step explanation:

hope this helps

Answer:

\(49n^2-70n+25\)

Step-by-step explanation:

Since one side of the square is (7n-5), the area of the square must be \((7n-5)^2\). Simplifying we get \(49n^2-70n+25\).

Answer:

Slope-intercept form:

y = -7/9x - 8/3

The slope:

m = -7/9

Picture is of it graphed

Answer:

x>-3

Step-by-step explanation:

-4x<12

-4x÷-4<12÷-4

x>-3 (flip the symbol bc its divided by a negative number)

Answer:

C - graph D

Step-by-step explanation:

when plotting this line we can look at the slope and the y intercept

2 is the slope so it goes up 2 over 1

and the y intercept is 3 so the line meets the y axis at (0, 3)

the graph that shows this is D

Answer:

Step-by-step explanation:

It is a function. Each x value has only 1 y value. You can pick out the answer that says that.

Answer:

It is because they are fractions of the same numbers so if you devide the numerator, you will get the quotient

sorry for my spelling lol

Step-by-step explanation:

Answer:true

Step-by-step explanation:

\(x=\textit{oz of solution at 10\%}\\\\ ~~~~~~ 10\%~of~x\implies \cfrac{10}{100}(x)\implies 0.1 (x) \\\\\\ y=\textit{oz of solution at 20\%}\\\\ ~~~~~~ 20\%~of~y\implies \cfrac{20}{100}(y)\implies 0.2 (y) \\\\\\ \textit{32 oz of solution at 12\%}\\\\ ~~~~~~ 12\%~of~32\implies \cfrac{12}{100}(32)\implies 0.12 (32)\implies 3.84 \\\\[-0.35em] ~\dotfill\)

\(\begin{array}{lcccl} &\stackrel{oz}{amount}&\stackrel{\textit{\% of oz that is}}{\textit{salt only}}&\stackrel{\textit{oz of}}{\textit{salt only}}\\ \cline{2-4}&\\ \textit{10\% salt water}&x&0.10&0.1x\\ \textit{20\% salt water}&y&0.20&0.2y\\ \cline{2-4}&\\ mixture&32&0.12&3.84 \end{array}~\hfill \begin{cases} x + y = 32\\\\ 0.1x+0.2y=3.84 \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{x+y=32}\implies y=32-x \\\\\\ \stackrel{\textit{using the 2nd equation}}{0.1x+0.2y=3.84}\implies \stackrel{\textit{substituting from the 1st equation}}{0.1x+0.2(32-x)~~ = ~~3.84} \\\\\\ 0.1x+6.4-0.2x=3.84\implies 6.4-0.1x=3.84\implies 6.4=0.1x+3.84 \\\\\\ 2.56=0.1x\implies \cfrac{2.56}{0.1}=x\implies \boxed{25.6=x}\hspace{5em}\stackrel{ 32~~ - ~~25.6 }{\boxed{y=6.4}}\)

The answer that describes the polygon RSTU is as follows:

A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape  RSTU as follows:

The polygon has 4 sides therefore, it is a quadrilateral.

The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.

A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.

Therefore, the shapes that defines the polygon are as follows:

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Answer:

it would be 6:10

Step-by-step explanation:

\(6:57-0:47 = 6:10\)

Answer:

115

Step-by-step explanation:

The areas are

1. 16 sq. Inches

2. 13.5 sq. Inches

3. 28 sq. Inches

4. 17.5 sq. Inches

What is Trapezium?

In geometry, a trapezium is a quadrilateral (a polygon with four sides) that has at least one pair of parallel sides. The parallel sides are called the bases of the trapezium, and the other two sides are called the legs or the lateral sides. The legs can be of different lengths, and the angles between the legs and the bases can also be different.

Area of Trapezium = 1/2 * Height *  (Sum of Parallel Sides)

1.

1/2 * 4 * 8

16 sq. Inches

2.

1/2 * 3 * 9

13.5 sq. Inches

3.

1/2 * 4 * 14

28 sq. Inches

4.

1/2 * 5 * 7

17.5 sq. Inches

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The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.

]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.

In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.

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Minimum passing marks \((p) = μ + Z * σ\)

\(= 0.4 + Z * 0.1\)

\(= 0.4 + 0.53 * 0.1\)

= 0.453 or 45.3%Therefore, 45.3% marks is the minimum score that 350 candidates should obtain to be declared as passed.

Total number of candidates = 800Average marks obtained

= 40%Standard Deviation

= 10% To calculate the minimum marks required to be scored by 350 students to be declared pass, we need to find out the passing marks. Let's first calculate the z-score, which is the number of standard deviations from the mean.

Using the formula\(;Z = (x-μ)/σ\)Where,

Z = z-scorex

= marks obtained

μ = average marks obtained

σ = standard deviationPutting the values;

Z = (x-μ)/σ

= (p-40)/10 (z-score required to pass the test)Now, we will use the normal distribution table to find the probability of the given z-score. We can use the z-table for finding the probability of the given value or the percentage of values lying below the given value in a standard normal distribution table.

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In the balance sheet, mortgage notes payable are reported as a long-term liability only.

Mortgage notes payable represent the amount owed by a company for a mortgage loan. These loans are typically long-term obligations that are expected to be repaid over an extended period, often several years. Therefore, mortgage notes payable are classified as long-term liabilities in the balance sheet.

Current liabilities are obligations that are expected to be settled within a short period, usually one year or less. Since mortgage notes payable typically have a longer repayment term, they do not meet the criteria to be classified as current liabilities.

By reporting mortgage notes payable as a long-term liability, the balance sheet provides a clear distinction between the company's short-term and long-term obligations, helping stakeholders understand the company's financial position and obligations over different time horizons.

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The empirical method is the right answer.

Empirical probability is calculated by dividing the number of times an event was seen in your data by the entire sample size. An event's relative frequency is strongly connected to an empirical probability, also known as an experimental probability.

Empirical probability bases its estimation of the likelihood that a specific result will recur on the number of instances of that outcome within a sample set. In short, the empirical method uses relative frequencies to determine probabilities.

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Answer:

14652

Step-by-step explanation:

calculator