A customer ordered 15 pieces of gourmet chocolate. The order can be packaged in small boxes that contain 1, 2 or 4 pieces of chocolate. Any box that is used must be full. How many different combinations of boxes can be used for the customer's 15 chocolate pieces

Answer:

x = -7/2 and y = -11/2

Step-by-step explanation:

These equations are known as slope-intercept equations.

Slope-intercept equation are a type of linear equation.

The slope-intercept format is: y = mx + b

Because there are two equations, this would be a system of equations.

So, to figure this out, we need to use the substitution method.

_____________________________________________

Problem:

Solve y=x−2;y=3x+5

Solution:
Step: Solve y=x−2 for y:

Step: Substitute x-2 for y in y = 3x + 5:

y = 3x + 5

x - 2 = 3x + 5

x−2+−3x=3x+5+−3x(Add -3x to both sides)

−2x−2=5

−2x−2+2=5+2(Add 2 to both sides)

−2x=7

-2x/-2 = 7/-2 (Divide both sides by -2)

x = -7/2

Step: Substitute -7/2 for x in y = x - 2:

y = x - 2

y = -7/2 - 2

y = -11/2(Simplify both sides of the equation)

Answer:

x = -7/2 and y = -11/2

Answer:

7

Step-by-step explanation:

Given,

3 Piles = 21 cards

1 Pile = (21 ÷ 3) cards

= 7 cards.

Answer:

7

Step-by-step explanation:

Because there is 7 cards in 1 pile. it follows the ratio of 7:1

Answer and Explanation:

Area is the measure of how large a 2-dimensional space is.

For example, a 6 × 2 grid of eggs contains 12 egg spaces.

In math, the unit for area is always a linear measurement squared (for example [tex]m^2[/tex], [tex]cm^2[/tex], and [tex]ft^2[/tex]).

Perimeter is the measurement of the border of a space.

For example, the fence around a 5 × 10 ft garden can be solved for by adding up each individual side of fencing (see the attached image).

The unit for perimeter is always a linear measurement, like m, cm, or ft.

Using this knowledge, for question a, simply multiply the side lengths to get the area. Remember to use [tex]ft^2[/tex] as the unit.

For question b, the answer is perimeter, since it is measuring the border length of the model court.

For question c, the answer is area, since it is measuring the size of the model court's wooden floor.

Answer:

The answer will be 8

Step-by-step explanation:

SInce you notice there is movies with an 8 difference....

Answer:

4 horror movies

Step-by-step explanation:

This seems to be a problem related to ratios. We are given that, for every 24 kids' movies, there are 32 horror movies. We need to figure out how many horror movies there would be if there were just 3 kids' movies. We can set up an equation using proportions:

[tex]\frac{24}{32}=\frac{3}{x}[/tex]

We don't know how many horror movies there would be so we can let this quantity equal x. Now, we can cross multiply and solve for our unknown:

[tex]24x = 3*32\\24x = 96\\x = 4[/tex]

This means that there are 4 horror movies

The amount of money that Glenn lost on last tool set is $30.60.

Given sale value of 15 tool set 1 year before is $54.60 and the sale value of last tool at year end is $24.00 by Glenn.

Sale value is the price which we get by selling the good including the profit and cost of the product.

In this question it is given that 15 tools sets, it does not mean that 15 sets are sold.

Using the formula

Amount lose=Original amount paid- selling price.

Now put the values in the formula:

Amount lose=$54.60-$24.00

Amount lose=$30.60.

Hence the amount of money he lost on the last tool set is $30.60.

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Answer:

the median of th given data is 243

Answer:

h(x)=2x-1

Step-by-step explanation:

The Given function is

f(x) =2*(0.35)* x

→y=0.7* x→Pre image

The line passes through first and third quadrant.

it is equation of straight line passing through origin and slope =0.7.

When this line is reflected over y axis , the equation of new line will be

→y= - 0.7 x⇒image

Slope of image will be = -0.7

The Image passes through Second and fourth Quadrant.

The magnitude of the electrical force acting between both the given charges which are separated by 0.008 m is 6.07 N.

Given Charges 2.4*[tex]10^{-8} C[/tex] and 1.8 *[tex]10^{-6} C[/tex] that are separated by 0.008 m.

We have to find the magnitude of the electrical force acting between the charges. Magnitude is the property which determines the size of an object or process. Force is an influence that can change the direction of an object.

To find the magnitude we have to use Coulomb's law which says that

[tex]F_{E}=K*(q_{1}*q_{2}/d^{2}[/tex]

where K is Coulomb's constant whose value is [tex]8.9910^{9}Nm^{2} C^{2}[/tex].

[tex]q_{1}[/tex]=[tex]2.6*10^{-8} C[/tex] and

[tex]q_{2}=1.8*10^{-6} C[/tex] are the electric charges.

d=0.008m is the separation distance between the charges.

Putting  the values in the given formula we get:

[tex]F_{E} =8.99(10)^{9}Nm^{2}/C^{2} *(2.4(10)^{-8}C(1.8(10)^{-6}C)/(0.008m)^{2}[/tex]

=6.07 N

Hence the magnitude of force acting between [tex]2.4*10^{-8} C[/tex] and [tex]1.8*10^{-6}C[/tex] is 6.07 N.

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Answer:

Step-by-step explanation:

The ratio of the number of marbles in the first bag to the number of marbles in the second bag is 2:7.

First of all, we would assign the variables x and y to the marbles in the first and second bag respectively. Also, let F and S represents the first and second bag respectively.

For the first bag, we have:

Ratio = 3:5 = 3x:5x = 3x + 5x = 8x

For the first bag, we have:

Ratio = 3:2 = 3y:2y = 3y + 2y = 5y

Tabulating these values, we have:

                         Red        Blue

First bag              3x          5x

Second bag         3y          2y

The two red marbles = 3x + 3y.

The two blue marbles = 5x + 2y.

Next, we would write the ratio of the total red marbles to the total blue marbles:

Total red/Total blue = 11/9

(3x + 3y)/(5x + 2y) = 11/9

Cross-multiplying, we have:

27x + 27y = 55x + 22y

27y - 22y = 55x - 27x

5y = 28x

y = 28x/5

y = (28/5)x

y = 5.6x

Remember from the second bag, S = 5y:

S = 5(5.6x)

S = 28x.

Thus, the ratio of the number of marbles in the first bag to the number of marbles in the second bag is given by:

F/S = 8x/28x

F/S = 8/28

F/S = 2/7

F:S = 2:7.

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[tex]24x =( 96 \div 2) + (55 - 50 - 4 + 5 - 6) \\ \\ 24 x = 48 + 0 \\ \\ 24x = 48 \\ \\ x = \frac{48}{24} \\ \\ x = 2.[/tex]

25 square feet would mr. potato head be able to walk inside the box.

Given,

          length and breadth of sandbox is 5 ft.

         Now, We apply formula of area of square.

                            5 × 5 = 25 ft²

  Therefore, 25 ft² would mr. potato head be able to walk inside the box.

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Answer:

-9/12 < -5/12

Step-by-step explanation:

-5/12 = -5/12

-3/4 = -9/12

-9/12 < -5/12

The number of guests on Saturday is 210 and it is greater than the party of Friday (15 guests)

Last Friday had 15 guests

The sum total of guests on Saturday= 210 guests (using Arithmetic progression)

Using the arithmetic progression sum formula:

1 * 20  + (20 * 19/2) * 1= 210

Therefore, 210 > 15, so we can conclude that the Saturday night party was bigger than Friday's own.

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The point (-2, 5) is not included in the solution area

The system of inequalities is given as:

y > 5x + 5

y > -2x+1

See attachment for the graph.

Since the inequalities use the greater than symbol, then the lines of the inequalities would be a dotted line and the upper part would be shaded

The point is given as:

(-2, 5)

The point (-2, 5) is not in the shaded area of the system of inequalities

Hence, the point is not included in the solution area

Mathematically, we have:

5 > 5 * -2 + 5 ⇒ 5 > -5 --- true

5 > -2 * -2 +1 ⇒ 5 > 5 --- false

Since both inequalities are not true, then the point is justified

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The given equation, when solved for d gives d = c/p

From the question, we are to solve for d in the given equation

The given equation is

c = pd

To solve for d, we will divide both sides by p

c/p = (pd)/p

c/p = d

∴ d = c/p

Hence, the given equation, when solved for d gives d = c/p

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Answer:

None of them.

Step-by-step explanation:

Each and every straight line is of one kind in terms of its pattern: it can be presented in the view of [tex]y = kx + b[/tex]: [tex]k[/tex] is the slope or gradient of the line, [tex]b[/tex] is the y-intercept of the line. I will not let the cat out of the bag if I say that any parallel lines do not intersect one another, hence they should have the same value of coefficient [tex]k[/tex].

[tex]2x + 4y = 16 \Leftrightarrow x + 2y = 8 \Leftrightarrow 2y = -x + 8 \Leftrightarrow y = - \frac{1}{2}x + 4[/tex]

Therefore, our line has [tex]k = - \frac{1}{2}[/tex] and [tex]b = 4[/tex] coefficients.

(A) [tex]k = 2, b = 5;[/tex]

(B) [tex]k = -1, b = 4;[/tex]

(С) [tex]k = -1, b = 8;[/tex]

(D) [tex]k = 2, b = 5;[/tex]

Recapitulating this: none of them have the same coefficient [tex]k[/tex], thus none of them suit us.

Answer:

D

Step-by-step explanation:

the volume (V) of a cube is calculated as

V = s³ ( s is the side length ) , then

V = 14³ = 2744 cm³

Answer:

D. 2744 cm³

Step-by-step explanation:

volume can be found by multiplying length × width × height

because we know that this is a cube, all side lengths are the same (meaning length, width, and height will all be the same)

so, we know our side length is 14cm, meaning that all of our measurements {length/width/height} are 14cm

length × width × height = volume

14 × 14 × 14 = 2744

when we write volume, we write it as cubed (x³)

{similarly, when we write area,  we write it as squared (x²)}

so, we would write the volume of this cube to be 2744 cm³

(option D)

hope this helps! have a lovely day :)

Answer:

a ≈ 8.82

Step-by-step explanation:

using the cosine ratio in the right triangle

cos54° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{a}{15}[/tex] ( multiply both sides by 15 )

15 × cos54° = a , then

a ≈8.82 ( to the nearest hundredth )

Answer:

-3 < x < 7

Step-by-step explanation:

The domain of a graph is all of the x-values that are included in the function. Since the graph is continuous (one connected line), you can determine the domain by identifying the x-values associated with the line's endpoints. These values are x = -3 and x = 7. Remember, the x-value located on a closed dot is not included in the domain. Therefore, the domain of the graph is -3 < x < 7.

Answer:

x=20

Step-by-step explanation:

a) isolate the variable

K-8=12

10-4=6

Answer:

on the percentage of the buses on time ,30 is not included

Answer:

the numbering on the y axis

Answer:

a.) y = 5x - 7

Explanation:

Equation:

[tex]\sf y - y_1 = m(x - x_1)[/tex]

insert values

[tex]\sf y - (-7) = 5(x - 0)[/tex]

simplify

[tex]\sf y + 7 = 5x[/tex]

rewrite

[tex]\sf y = 5x - 7[/tex]

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Which linear equation would produce a y-int. of (0,-7) and a slope of 5?

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

Take the second co-ordinate of the point (0,-7), this is your y-intercept.

Next, just put it into y=mx+b in the place of b.

[tex]\bf{y=mx-7}[/tex] | now put in the slope, 5

[tex]\bf{y=5x-7}[/tex]

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

              [tex]\bf{=y=5x-7}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic\not1\theta l}}[/tex]

∞

The equivalent expression is [tex]3x^4\sqrt{2}[/tex] . Option B

Given the expression

= [tex]\frac{18x\sqrt{14x^8} }{6\sqrt{7x^4} }[/tex]

Divide the multipliers, we have

= [tex]\frac{3x\sqrt{14x^8} }{7x^4}[/tex]

Let factorize the numerator in square root

= [tex]\frac{3x \sqrt{7x^4 * 2x^4} }{7x^4}[/tex]

Eliminate the like factor in both the numerator and denominator

= [tex]3\sqrt{2x^4}[/tex]

Let's bring forth the 'x' factor, we have

= [tex]3x^4\sqrt{2}[/tex]

Thus, the equivalent expression [tex]3x^4\sqrt{2}[/tex] . Option B

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Answer:

what would happen is that the dotted line that is at 2 and down right now would go up to 5

Hope This Helps!!!

Option C. The truth statement about the figure is that it has  no reflectional symmetry.

This is the term that is also used to refer to mirror symmetry. It is known to be used in respect to reflections.

The shape that we have here can be seen that it does not have this type of symmetry.

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Answer: 1.66666666667

Answer:

  x = 192

Step-by-step explanation:

The three right triangles in the figure are all similar, so their sides are proportional.

The length marked x is the long side of the smallest triangle, and the short side of the middle-size triangle. The long side of the middle-size triangle is ...

  400 -144 = 256

We now have enough information to write the proportion ...

  long side/short side = x/144 = 256/x

Multiplying by 144x gives ...

  x² = (144)(256)

  x = √(144×256) = 12×16 = 192

The length x is 192 units.

We have [tex]x^{-n} = \frac1{x^n}[/tex] if [tex]n[/tex] is a positive integer and [tex]x\neq0[/tex], as well as [tex]x^0 = 1[/tex] if [tex]x\neq0[/tex]. So right away we can simplify to

[tex]\left(x^{-1} y^2\right) \left(-3 x^2 y^0\right) = \left(\dfrac{y^2}x\right) \left(-3x^2\right) = -\dfrac{3x^2y^2}x[/tex]

If [tex]x=0[/tex], then the starting expression is undefined. So we accept that [tex]x=0[/tex], in which case [tex]\frac xx = 1[/tex], and the overall expression simplifies to

[tex]\left(x^{-1} y^2\right) \left(-3 x^2 y^0\right) = \boxed{-3xy^2}[/tex]

The total volume of air that coach Tim will need to fill is [tex]1,340^{3} inches[/tex].

To find  the total volume of air that coach Tim will need:

The formula of volume = [tex]\frac{4}{3}[/tex] × [tex]\pi[/tex] × [tex]r^{3}[/tex]

Given - Diameter of volleyball = 8 inches

So, the radius of volleyball = [tex]\frac{8}{2}[/tex] = 4 inches

Now, put the values in the formula of volume as follows:

[tex]\frac{4}{3} * \pi * 4^{3}[/tex]

[tex]\frac{4}{3} * \pi * 64[/tex]

[tex]\frac{4}{3} * 3.14 * 64\\\frac{4}{3} * 201.06\\4 * 67.02\\268.08[/tex]

To find total volume = [tex]268.08 * 5[/tex]

[tex]= 1340.4[/tex]

Rounding off to the nearest whole number = [tex]1,340^{3} inches[/tex]

Therefore,  the total volume of air that coach Tim will need to fill is [tex]1,340^{3} inches[/tex].

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