How do I setup this Systems of Equation?Azlyn has a collection of 61 nickels and quarters totaling $6.85. How many of each type of coin does he have?

∠LMN is an obtuse angle.

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Explanation

Let's go through the answer choices to see which are true, and which are false.

Answer:A=212.5 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

212.5

Answer:

DE, BC, BA, CA

Step-by-step explanation:

basically just find the ones that do not cross and those are parellel.

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{9}{10}+\dfrac{7}{15}}\)

\(\large\textsf{FIRST: FIND the LCD (Lowest Common Denominator) then solve}\\\large\textsf{from there!}\)

\(\large\textsf{If you have calculated it correctly, you should have came up with \underline{\bf 30}}\\\large\textsf{as your LCD (Lowest Common Denominator).}\)

\(\mathsf{= \dfrac{9\times3}{10\times3}+ \dfrac{7\times2}{15\times2}}\)

\(\mathsf{9\times3=\bf 27}\\\mathsf{10\times3=\bf 30}\\\\\mathsf{7\times2=\bf 14}\\\mathsf{15\times2=\bf 30}\)

\(\mathsf{= \dfrac{27}{30}+\dfrac{14}{30}}\)

\(\mathsf{= \dfrac{27+14}{30}}\)

\(\mathsf{27+ 14=\bf 41}\\\\\mathsf{30+0=\bf 30}\)

\(\mathsf{= \dfrac{41}{30}}\large\textsf{ which you could convert to }\mathsf{1 \dfrac{11}{30}}\)

\(\boxed{\boxed{\large\textsf{ANSWER: }\bf \dfrac{41}{30} \large\textsf{ or }\mathsf{\bf 1 \dfrac{11}{30}\large\textsf{ because they both equal the same thing}}}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

55°

Step-by-step explanation:

m∠D = m∠A + m∠B since for a triangle, the exterior angle = sum of interior angles

We can rewrite this as
m∠A + m∠B = m∠D

Given m∠A = (2x)°  , m∠B = (3x + 41)° and m∠D = 124° and substituting in the above equation,

2x + (x + 41.5) = 124

2x + x + 41.5 = 124

3x + 41.5 = 124

3x = 124 - 41.5 = 82.5

x = 82.5/3 = 27.5

But m∠A = (2x) = 2 x 27.5 = 55°

Answer:

19.2 Cubed Cm.

Step-by-step explanation:

I think this would be the asnwer bceause the formula is volume = base times the height which is 3 times 6.4 in yoru case which is 19.2 cubed cm.

Answer:

84 juice bottles

Step-by-step explanation:

Given the ratio of grapefruit juice, pineapple juice, and tomato juice bottles as

3:1:2

Let the total number of bottles available be R

If there are 14 pineapple juice bottles, then

1/(3 + 1 + 2) * R = 14

1/6 * R = 14

multiply both sides by 6

R = 14 * 6

= 84

This means there are 84 bottles in all

The values of the trigonometric ratios are: a) - 7/5, b) -75 c ) -1/5  d ) -25/12

Trigonometric ratios are measurements of the lengths of two sides of a triangle. There are three basic trigonometric ratios: sine, cosine, and tangent.  Sine ratios are the ratios of the length of the side opposite the angle they represent over the hypotenuse

the give parameters are:

tanα = -4/3 where π/2 <α<π and sinβ = √3/2, 0<β<π/2

a)  sin(α+β)

Using the trig ratios tan = opp/adj

but from pyth. rule, 4² + 3² = h²

16+9 = h²

h = √25 = 5

Now from trig Sin(α+β)

4/5 + 3/5

=- 7/5

b) cos(α+β)

cos = ad/hypo

4/5 + 3/5

= -7/5

c) Sin(α-β)

4/5 - 3/5

-1/5

d) tan(α-β)

= -4/3 - 3/4

= (-16 - 9)/ 12

-25/12

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The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.

To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.

Let's assume the maximum price you can offer for the home is P dollars.

According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:

\(0.17P = $14,000\)

To solve for P, divide both sides of the equation by 0.17:

P = $14,000 / 0.17

Calculating this expression, we find:

P ≈ $82,352.94

Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.

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In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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To find the volume of this figure, we need to break it down into the shapes separately.

We have three rectangular prisms. Let's begin with the rectangular prisms.

Both rectangles have the same dimensions: a length of 6, a width of 5, and a height of 0.5.

The formula for the volume of a rectangular prism is

The volume of one rectangular prism is

Since there are two rectangular prisms with the same dimensions, the volume of the second prism is also 15 cubic centimeters.

Next, we need to find the volume of the third rectangular prism.

The width and the length are the same, 0.5 cm. The height is 6 cm. We will use the same volume formula for this shape:

To get the total volume, we will add all the volumes together:

Our final volume is 31.5 cubic centimeters.

The correct decreasing order of the given numbers is : 3.32 > 2.25 > -2.25 > -3.98

What is Descending Order ?

Descending order is a way to arrange numbers from largest to smallest. When we arrange things in order, from a higher value to a lower value, it is known as the descending order or the decreasing order.

√11 = 3.316 = 3.32 (rounding off to two decimal places)

2 1/4 = 9/4 = 2.25 (by solving mix fraction)

-2.25 (negative number is written in negative x- axis)

-3.97621 = -3.98 (negative number is written in negative x- axis)

arranging the numbers in descending order

3.32 > 2.25 > -2.25 > -3.98

therefore, the highest number is 3.32 and the lowest number is -3.98

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Answer:

26 km2 (squared)

Step-by-step explanation:

Area of a triangle is H × B ÷ 2

= 6.5 × 8 ÷ 2

= 52 ÷ 2

= 26 km2 (squared)

The equation for the supply curve is y = -80x + 4400

We can use the two points given to find the slope of the supply curve:

slope = (change in y)/(change in x) = (400-2000)/(10-30) = 1600/20 = -80

The negative sign indicates that as the price of dolls decreases, the number of dolls supplied decreases.

Now, we can use the point-slope form of a line to write the equation for the supply curve:

y - y1 = m(x - x1)

Using the point (2000, 30):

y - 2000 = -80(x - 30)

Simplifying and putting in slope-intercept form:

y = -80x + 4400

So the equation for the supply curve is y = -80x + 4400, where y is the number of dolls that can be supplied and x is the price of dolls.

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The exact value of the specified trigonometric identity found using the the trigonometric identity for tan(A - B) and tan(arccos(x)) and tanarcsin(x)) is presented as follows;

\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) =\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)

A trigonometric identity is an equality that involves trigonometric functions that is valid for all values of the arguments of the equation

The required trigonometric identities are;

\(tan (A - B) = \dfrac{tan(A) -tan(B)}{1-tan(A)\cdot tan(B)}\)

\(tan(sin^{-1}(x)) = \dfrac{x}{\sqrt{1-x^2} }\)

\(tan(cos^{-1}(x)) = \dfrac{\sqrt{1-x^2}}{x }\)

Therefore;

\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) = \dfrac{tan\left(sin^{-1}\left(\dfrac{3}{4} \right)\right)-tan\left(cos^{-1}\left(\dfrac{1}{5} \right)\right)}{1-tan\left(sin^{-1}\left(\dfrac{3}{4} \right)\right)\times tan\left(cos^{-1}\left(\dfrac{1}{5} \right)\right)}\)

Which gives;

\(\dfrac{\dfrac{\frac{3}{4} }{\sqrt{1-\left(\frac{3}{4} \right)^2} } -\dfrac{\sqrt{1-\left(\frac{1}{5} \right)^2}}{\frac{1}{5} } }{1+\dfrac{\frac{3}{4} }{\sqrt{1-\left(\frac{3}{4} \right)^2} } \times \dfrac{\sqrt{1-\left(\frac{1}{5} \right)^2}}{\frac{1}{5} }}=\dfrac{\dfrac{3\cdot \sqrt{7}-14\cdot \sqrt{6} }{7} }{\dfrac{7+6\cdot \sqrt{42} }{7} }\)

\(\dfrac{\dfrac{3\cdot \sqrt{7}-14\cdot \sqrt{6} }{7} }{\dfrac{7+6\cdot \sqrt{42} }{7} }=\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)

Which indicates that we have;

\(tan\left(sin^{-1}\left(\dfrac{3}{4} \right) - cos^{-1}\left(\dfrac{1}{5}\right) \right) =\dfrac{32\cdot \sqrt{6}- 75\cdot \sqrt{7} }{209}\)

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Answer:

20

Step-by-step explanation:

If you have collected 10 cans of food, and you are 50% compleated, 50% is half, 50 x 2 is 100, so 10 x 2 =20

Answer:

Michael buys 800 hockey cards from jackson

Answer:

480 cards

Step-by-step explanation:

Step 1: No. of cards Jackson is selling

=> 1000 x 60%

=> 1000 x 0.6

=> 600 cards

Step 2: No. of cards Michael buys

=> 600 x 80%

=> 600 x 0.8

=> 480 cards

Answer:

3(x+7)=57

Step-by-step explanation:

3 is being multiplied by "the sum of a number(or x) and 7". So, we write it as 3(x+7). That is equal to 57, so that makes the expression 3(x+7)=57.

-hope it helps

Equivalent expressions are expressions that have the same values.

The expression is \(3(x + 7) = 57\) and the number is 12

Represent the number with x.

So, the sum of a number (x) and 7 would be represented as: x + 7

Three times the sum would be represented as: 3(x + 7)

This expression is equivalent to 57.

So, we have:

\(3(x + 7) = 57\)

Divide both sides of the equation by 57

\(x + 7 = 19\)

Subtract 7 from both sides of the equation

\(x + 7 - 7 = 19 - 7\)

\(x = 12\)

Hence, the number is 12

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Answer:

It depends. Depends on what? Depends on the type of triangle that this shelf forms. If Sandra wants the shelf to fit perfectly, she needs a shelf with the shape of a right triangle, the only type of triangles that have a 90° angle in one of their corners. Any other type of triangle will fit in some ways, but they won't fot perfectly.

Check the attached images to better understand this explanation.

As you can see on the images, the only type of shelf that fits the room's corner perfectly is a right triangle shaped shelf. Any other triangular shelf will fit in a specific orientation, but it won't fit perfectly.

The value of the number 9.15 x 10° written in standard form is equal to 9.15.

As given in the question,

Given number is equal to :

9.15 x 10°

Given number 9.15 x 10°  is written in standard form.

The value of the given number 9.15 x 10°  written in standard form is given by:

9.15 x 10°

Here 10° = 1

Using property of number: Any number raise to zero is always equal to 1.

9.15 x 1

Using Multiplicative identity , number multiply to 1 remain number itself.

= 9.15

Therefore, the value of the number 9.15 x 10° written in standard form is equal to 9.15.

The complete question is:

What is the value of 9.15 x 10° written in standard form?​

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The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Answer:

There are no solutions to that.

Answer:

.750

Step-by-step explanation:

The value of the expression 59 + (1/6)r at r = - 1/2 will be 707/12.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 59 + (1/6)r

The value of the expression at r = - 1/2 will be given as,

⇒ 59 + (1/6)(-1/2)

⇒ 59 - 1 / 12

⇒ (708 - 1) / 12

⇒ 707 / 12

The value of the expression 59 + (1/6)r at r = - 1/2 will be 707/12.

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Answer:

option 3

-4, -2, 3

Step-by-step explanation:

Answer:

Option C  -4,-2,3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Interpreting as: 6000

Input:

6000

Number line:

Number line

Number name:

six thousand

Roman numerals:

\!\(\("V"\)\&_\)M

Binary form:

1011101110000_2

Prime factorization:

2^4×3×5^3

Residues modulo small integers:

m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9

6000 mod m | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 6

Properties:

6000 is an even number.

6000 is a number that cannot be written as a sum of 3 squares.

6000 has the representation 6000 = 3^5 5^2 - 75.

6000 divides 49^10 - 1.

Character code 6000:

| Tagbanwa letter sa

Unicode: U+1770 (decimal: 6000)

Mathematica: \:1770

(Tagbanwa)

The function has an infinite solution.

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values.

The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

Since f(x) and g(x) are the same function, their graphs will be the same and all points on the line are solutions. All x values will be solutions. This means there are infinitely many.

You can see it algebraically too:

-2x-6 = -2x-6

-2x+2x-6 = -2x +2x -6

0-6 = 0-6

-6=-6 True. Infinite solutions.

Hence the function has an infinite solution.

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The 90 percent confidence interval for the difference in population proportions (City C minus City K) who subscribe to the streaming service is option (a) 0.07 ± 0.086

A confidence interval is a range of values that we are fairly sure contains the true value of a population parameter.

To estimate this difference, they took random samples of 200 people from each city and found the proportion of subscribers in each sample. Now, they want to construct a 90 percent confidence interval for the difference in population proportions (City C minus City K) who subscribe to the streaming service.

To do this, we need to use a formula that takes into account the sample proportions, the sample sizes, and the desired level of confidence (in this case, 90 percent). The formula for the confidence interval for the difference in population proportions is:

(sample proportion 1 - sample proportion 2) ± (critical value) × (standard error)

The critical value is based on the desired level of confidence and the degrees of freedom (df), which is the sum of the sample sizes minus 2. In this case, the critical value is 1.645.

The standard error is a measure of how much the sample proportions might vary from the true population proportions. It is calculated as:

sqrt[(sample proportion 1 × (1 - sample proportion 1) / sample size 1) + (sample proportion 2 × (1 - sample proportion 2) / sample size 2)]

Using the sample proportions and sample sizes given in the problem, we can calculate the standard error to be 0.052.

Now, we can plug in these values into the formula and simplify to get the confidence interval:

(0.34 - 0.27) ± 1.645 × 0.052

0.07 ± 0.086

This means we are 90 percent confident that the true difference in population proportions of subscribers to the streaming service between City C and City K is somewhere between 0.016 and 0.124. Note that this interval does not include 0, which suggests that there is a significant difference between the two cities in terms of subscribers to the streaming service.

So, the option (a) is the correct one.

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Complete Question:

Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service. Assuming all conditions for inference are met, which of the following is a 90 percent confidence interval for the difference in population proportions (City C minus City K) who subscribe to the streaming service?

A. 0.07 ± 0.086

B. 0.086 ± 1.96

C. 0.07 ± 1.657

D. 0.086 ± 1.96

E. 0.07 ± 1.657