A woman bought some large frames for $18 each and some small frames for $4 each at a closeout sale. If she bought 16 frames for $148, find how many of each type she bought.

She brought ___ large frames.

She brought ___ small frames

Since y varies directly with x, we will be using this formula:

Given:

Constant rate of change = k = 7

Let's substitute k to generate the equation. We get,

Let's now determine the value of x when y = 12.

Therefore, at a constant rate of change of 7 and y varies directly with x, a value of y = 12 will have an x value of 12/7.

The answer of the given question based on the scatterplot for determining  when she will reach 10,000 songs the answer is Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

Slope is  measure of  steepness or incline of  line. In geometry and mathematics, slope is defined as  ratio of the change in  y-coordinates to  change in  x-coordinates between two distinct points on  line. This is often represented by  letter "m".

To determine when Maria will reach 10,000 songs, we need to find the point on the line of best fit where the y-value is 10,000.

From the scatterplot, we can estimate that the line of best fit intersects the y-axis at approximately 2000. This means that the initial number of songs downloaded was 2000.

Next, we need to find the slope of the line of best fit. Let's choose the points (5, 6500) and (10, 9500).

The slope of the line passing through these two points is:

slope = (y2 - y1)/(x2 - x1) = (9500 - 6500)/(10 - 5) = 600 songs per month

This means that Maria is downloading 600 songs per month on average.

Finally, we can use the slope-intercept form of a line to find the x-value when the y-value is 10,000:

y = mx + b

10,000 = 600x + 2000

8000 = 600x

x = 13.33

Therefore, Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.

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Answer:

i think that this is a great idea, but maybe instead of $5 bucks everytime they do good work, maybe just like 50 bucks at the end of the quarter, if they get good grades.

Step-by-step explanation:

Answer:

34 28 37 56 34 37 28 20 43 15

The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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Answer:

\(34 + ( - 21) + 15 = 28\)

Answer:

Explanation:

Here, we want to get the frequency

We have the standard form of the graph as:

where:

In this case, B is 200pi

Thus:

Mathematically:

Answer:

B

Step-by-step explanation:

given scale is 1 inch represents 7.5 feet

then we require to calculate how many 7.5 feet there are in each dimension.

to obtain this divide each dimension by 7.5, that is

13 ÷ 7.5 ≈ 1.73 ( to 2 decimal places )

26 ÷ 7.5 ≈ 3.47 ( to 2 decimal places )

then dimensions are approximately 1.73 inches by 3.47 inches

Answer:

X = 3

Step-by-step explanation:

x= 6 x 1/2

The biscuits should be placed 2.54 centimeters apart on the baking tray.

The unitary method is a way for solving a problem by the first value of a single unit and than finding the value by multiplying the single unit. Unitary method is a technique by which we can find the value of a single value from the value of more than one devices and the value of more than one unit from the value of a single unit. We can this method use for most of the calculations in math.

We are given that;

Elana must roll the dough into 7 inch rounds.

a) To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, 7 inches is equal to:

7 inches x 2.54 centimeters/inch = 17.78 centimeters

So, Elana must roll the dough into 17.78 centimeter rounds.

b) To rewrite all the ingredients using grams or milliliters, we need to know the density of each ingredient. Assuming that the density of each ingredient is the same as that of all-purpose flour (which is approximately 125 grams per cup), we can convert the measurements as follows:

1 cup flour = 125 grams flour

1/2 cup sugar = 100 grams sugar

2 teaspoons baking powder = 10 grams baking powder

1 teaspoon salt = 5 grams salt

1/2 cup cream = 120 milliliters cream (assuming a density of 1 gram per milliliter)

So, the rewritten ingredients are:

125 grams flour

100 grams sugar

10 grams baking powder

5 grams salt

120 milliliters cream

c) The recipe states that the oven should be preheated to 350 °F. To convert this temperature to Celsius, we can use the formula:

Celsius = (Fahrenheit - 32) x 5/9

So, the temperature in Celsius is:

Celsius = (350 - 32) x 5/9 = 176.67 °C

Therefore, Elana should heat the oven to 176.67 °C.

d) The recipe states that the biscuits should be placed on the baking tray 1 inch apart. To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, the biscuits should be placed on the baking tray:

1 inch x 2.54 centimeters/inch = 2.54 centimeters

Therefore, by unitary method answer will be 2.54 centimeters.

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Answer:

84

Step-by-step explanation:

7 plus 5 is 12 and multiply it by seven. seven comes from 49 empty spaces divided by the seven from the ratio

Answer:

84 spaces

Step-by-step explanation:

7 : 5 ( empty : taken )

→ Divide 49 by 7

7

→ Multiply answer by 5

35

→ Add answer to original 49

49 + 35 = 84

Given:

The sequence is:

12, 6, 3, ...

To find:

The formula for the nth term of the given sequence.

Solution:

We have,

12, 6, 3, ...

Here, first term is 12.

Clearly, \(\dfrac{6}{12}=\dfrac{3}{6}\). Since the given sequence has a common ratio \(r=dfrac{1}{2}\), therefore it is a geometric sequence.

The formula for the nth term of the given sequence is:

\(a_n=ar^{n-1}\)

Where, a is the first term and r is the common ratio.

\(a_n=12\left(\dfrac{1}{2}\right)^{n-1}\)

Therefore, the formula for the nth term of the given sequence is \(a_n=12\left(\dfrac{1}{2}\right)^{n-1}\).

Answer:

Step-by-step explanation:

Answer:

  B, C, D

Step-by-step explanation:

You want to identify the shapes that are similar to polygon K.

Polygon K is a right triangle that has leg lengths in the ratio 4:2 = 2:1.

Polygons B, C, and D are right triangles similar to polygon K:

Polygons A and E are also right triangles, but have different ratios of leg lengths. In A they are 1/1, and in E they are 4/3. These triangles are not similar to triangle K.

__

Additional comment

Polygons similar to the same polygon are similar to each other. Rigid transformations such as reflection and rotation result in figures congruent to the original. Congruent figures are also similar.

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Answer:

Your average speed was 3.29 Miles per hour (mph)

Please Consider Marking Brainliest.

Answer:

A

Step-by-step explanation:

(-5) * (-12) * (-2)

(60) * (-2)

-120

Answer:

51

Step-by-step explanation:

range = highest number - lowest number

54 - 3 = 51

(i)  The partial fraction decomposition of\(100/(x^7 * (10 - x))\) is\(100/(x^7 * (10 - x)) = 10/x^7 + (1/10^5)/(10 - x).\) (ii) The expression for t in terms of x is t = 10 ± √(100 + 200/x).

(i) To express the rational function 100/(\(x^7\) * (10 - x)) in partial fractions, we need to decompose it into simpler fractions. The general form of partial fractions for a rational function with distinct linear factors in the denominator is:

A/(factor 1) + B/(factor 2) + C/(factor 3) + ...

In this case, we have two factors: \(x^7\) and (10 - x). Therefore, we can express the given rational function as:

100/(\(x^7\) * (10 - x)) = A/\(x^7\) + B/(10 - x)

To determine the values of A and B, we need to find a common denominator for the right-hand side and combine the fractions:

100/(x^7 * (10 - x)) = (A * (10 - x) + B * \(x^7\))/(\(x^7\) * (10 - x))

Now, we can equate the numerators:

100 = (A * (10 - x) + B * \(x^7\))

To solve for A and B, we can substitute appropriate values of x. Let's choose x = 0 and x = 10:

For x = 0:

100 = (A * (10 - 0) + B * \(0^7\))

100 = 10A

A = 10

For x = 10:

100 = (A * (10 - 10) + B *\(10^7\))

100 = B * 10^7

B = 100 / 10^7

B = 1/10^5

Therefore, the partial fraction decomposition of 100/(\(x^7\) * (10 - x)) is:

100/(\(x^7\) * (10 - x)) = 10/\(x^7\) + (1/10^5)/(10 - x)

(ii) Given the differential equation: dx/dt = (1/100) *\(x^2\) * (10 - x)

We are also given x = 1 when t = 0.

To solve this equation and obtain an expression for t in terms of x, we can separate the variables and integrate both sides:

∫(1/\(x^2\)) dx = ∫((1/100) * (10 - x)) dt

Integrating both sides:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) + C

Where C is the constant of integration.

Now, we can substitute the initial condition x = 1 and t = 0 into the equation to find the value of C:

-1/1 = (1/100) * (10*0 - (1/2)*\(0^2\)) + C

-1 = 0 + C

C = -1

Plugging in the value of C, we have:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

To solve for t in terms of x, we can rearrange the equation:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Multiplying both sides by -1, we get:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

Simplifying further:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Now, we can isolate t on one side of the equation:

(1/100) * (10t - (1/2)t^2) = 1 - 1/x

10t - (1/2)t^2 = 100 - 100/x

Simplifying the equation:

(1/2)\(t^2\) - 10t + (100 - 100/x) = 0

At this point, we have a quadratic equation in terms of t. To solve for t, we can use the quadratic formula:

t = (-(-10) ± √((-10)^2 - 4*(1/2)(100 - 100/x))) / (2(1/2))

Simplifying further:

t = (10 ± √(100 + 200/x)) / 1

t = 10 ± √(100 + 200/x)

Therefore, the expression for t in terms of x is t = 10 ± √(100 + 200/x).

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Answer:

A = πr²

Step-by-step explanation:

A = πr²

A = 3.14(6)²

A = 3.14(36)

A = 113.04yds²

The opposite of |3| = - |3|

What is Modulus Function?

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

Given data ,

Let the number be x

x = |3|

Now , the opposite of the number x = -x

So ,

The opposite of |x| = -|x|

And ,

The opposite of |3| = - |3|

Hence , The opposite of |3| = - |3|

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Answer:

x = -1

Step-by-step explanation:

15+3x=3(2−2x)

Distribute

15+3x = 6 -6x

Add 6x to each side

15+3x+6x = 6-6x+6x

15+9x = 6

Subtract 15 from each side

15-15+9x = 6-15

9x = -9

Divide by 9

9x/9 = -9/9

x = -1

The expression to represent the information will be 2(2m + 3n + 4p)

From the information given, Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens.

There are m number of games required.

There are n number of games that require 3 token.

Therefore, the expression to represent the information will be:

= 2(2 × m) + 2(3 × n) + 2(4 × p)

= 2(2m + 3n + 4p)

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Answer:

The other person who answered is incorrect!! The real answer is 2m + 3n + 4p

Step-by-step explanation:

have a good besti!!!!

-leeknowishawt

Answer:

(2 4/6) : 8 ≅ 0.3333333≅ 1/3

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 8/1 is 1/8) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 16 gives 1/3

In words - sixteen sixths divided by eight = one third.

Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

Answer:

40%

Step-by-step explanation:

you need to divide 80 by 8 to get 10 and then divide 32 by 8 aswell. this gives you 4/10 which is equivalent to 40/100 or 40%

Candidate percent scored is, 40%.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A candidate scored 32 marks out of 80.

Now, Total marks = 80

And, A candidate score = 32

Hence, The percent score is,

⇒ 32 / 80 × 100

⇒ 3200 / 80

⇒ 40%

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Answer:

c

Step-by-step explanation:

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

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

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

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Answer:

Find an interquartile range for an odd set of numbers: Second ... — (1, 2, 5, 6, 7, 9), (9, 12, 15, 18, 19, ... Box Plot interquartile range: How ... Example question: Find the interquartile ... Q1 is represented by the left ... (GPA) in the following data set: ... The “1” in this Excel formula(A2:A10,1) represents the ...

Step-by-step explanation:

Answer:

D. 22

Step-by-step explanation:

Your answer is correct sir :)

Answer:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y intercept.

Step-by-step explanation: