Monique has 4 pencils for every 2 pens in her backpack. If she has 6 pencils, how many pens does she have? If pens are the X variable and pencils are the Y variable, plot this relationship as a point in the coordinate plane.

Answers

Answer 1

Answer: 3 pens

Step-by-step explanation: The ratio of pencils to pens Monique has is 2:1, this means that for every 2 pencils Monique has she will have 1 pen. To plot this on a graph you can put one point at (2,1) and another point at (4,2)

Related Questions

Anyone know how to do this?

Answers

The value of length of side of triangle AD using the angle bisector theorem is obtained as: AD = 4.68.

Explain about the angle bisector theorem?

Angles are measurements created by joining two lines, also known as the vertex. Geometric forms such as triangles but also rectangles contain internal angles produced by their sides.

The sum of the internal angles of each geometric figure gives it a general size. We can do operations like bisecting an angle geometrically.Every angle that is bisected is split into two equal-sized angles. Starting at the vertex that makes up the primary angle, the bisector is drawn.

Using the angle bisector theorem in the given triangles:

The ratios of the sides will be equal.

AB / BC = AD / DC

AB = 9 ; BC = 11.7 AD = 3.6

Put the values.

9/11.7 = 3.6 / AD

AD = 3.6*11.7 / 9

AD = 4.68

Thus, the value of length of side of triangle AD using the angle bisector theorem is obtained as: AD = 4.68.

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What is 2+2 x 2+y equaled to

Answers

Answer:

6 + y

Step-by-step explanation:

By BODMAS rule,

1st : Multiply

Then add,

2 + 2 x 2 + y

2 + (2 x 2) + y

= 2 + 4 + y

= 6 + y

Write a statement to match this number sentence. |-5| = |5|

Answers

Statement to match the given number sentence is The absolute value of -5 is equal to the absolute value of 5.

What is absolute value?

It is the distance of a number from zero on a number line, and is always positive.

The absolute value of -5 is 5 because -5 is 5 units away from zero on the number line.

Similarly, the absolute value of 5 is 5 because 5 is also 5 units away from zero on the number line.

Therefore, the absolute value of -5 is equal to the absolute value of 5, and the statement for this number sentence is "The absolute value of -5 is equal to the absolute value of 5."

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Find the area of a sector with a central angle of 180° and a diameter of 5. 6 cm. Round to the nearest tenth

Answers

The area of the sector with a central angle of 180° and a diameter of 5.6 cm is approximately 11.8 [tex]cm^2[/tex].

To find the area of a sector, we need to know the central angle and the radius or diameter of the circle that the sector is a part of. In this case, we are given a central angle of 180° and a diameter of 5.6 cm.

Find the radius of the circle is the first step. We can do this by dividing the diameter by 2:

radius = diameter/2 = 5.6/2 = 2.8 cm

Next, we can use the formula for the area of a sector:

Area of sector = (central angle/360°) x π x [tex]radius^2[/tex]

Plugging in the given values, we get:

Area of sector = [tex](180/360) * \pi * (2.8)^2[/tex]

= [tex](1/2) * 3.14 * 2.8^2[/tex]

= [tex]11.77 cm^2[/tex]

Rounding to the nearest tenth, we get:

Area of sector ≈ 11.8 [tex]cm^2[/tex]

Therefore, the area of the sector is approximately 11.8 [tex]cm^2[/tex].

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Cathy had 6 different softball uniforms: 2 red short sleeve, a black long sleeve, 2 gold short sleeve, and a gold long sleeve. What is the probability of Carrie randomly selecting a gold short sleeve top on Monday, not replacing it, and then randomly selecting a red short sleeve tank on Tuesday?

Answers

The probability of Carrie randomly selecting a gold short sleeve top on Monday and a red short sleeve tank on Tuesday is 2/15.

To find the probability of Carrie randomly selecting a gold short sleeve top on Monday and a red short sleeve tank on Tuesday, we need to multiply the probabilities of these two events occurring.

The probability of selecting a gold short sleeve top on Monday is 2/6, or 1/3. There are 2 gold short sleeve tops out of a total of 6 uniforms.

After selecting a gold short sleeve top on Monday and not replacing it, there are 5 uniforms left, of which 2 are red short sleeve tanks. Therefore, the probability of selecting a red short sleeve tank on Tuesday is 2/5.

To find the probability of both events occurring, we multiply the probabilities together:

(1/3) * (2/5) = 2/15

Therefore, the probability of Carrie randomly selecting a gold short sleeve top on Monday and a red short sleeve tank on Tuesday is 2/15.

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Assume these triangles are similar. What is the value of x? :))))

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The value of x in the given similar triangles is 30.8.

What are similar triangles?

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

Similar figures are described as items with the same shape but varying sizes, such as two or more figures. A hula hoop and the wheel of a bicycle are two examples of things whose forms are similar to one another.

Given that the triangles are similar, thus the ratio of their sides are equal.

Here, 28/10 = x / 11

Using cross multiplication we have:

x = 28 / 10 (11)

x = 30.8

Hence, the value of x in the given similar triangles is 30.8.

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can you please answer this for me

Answers

A^2+B^2=C^2
Where A = 15, B = x and C = 9+x

Answer:

x = 8

Step-by-step explanation:

the angle between the tangent and the radius at the point of contact A is 90°

then Δ ABP is right at A

using Pythagoras' identity in the right triangle

BP² = AP² + AB² , that is

(x + 9)² = x² + 15² ← expand parenthesis on left side using FOIL

x² + 18x + 81 = x² + 225 ( subtract x² from both sides )

18x + 81 = 225 ( subtract 81 from both sides )

18x = 144 ( divide both sides by 18 )

x = 8

I'm confused with this question please help.

Answers

Answer:

Step-by-step explanation:

Ill give it to you if you really need it its gonna take a while to explain

Answer x = 70

Explanation

Angle x consists of angle GEA

Angle GEA is a vertical angle of FEB, so they are the same

Angles BED = 20 and DEF = 50 for a total FEB = 70

If Angles FEB = GEA then GEA is also = 70

Unknown Angle x = 70

See attachment

Show that if AB = AC and A is nonsingular, then the cancellation law holds; is, B = C.

Answers

When AB = AC and A is nonsingular, then the cancellation law holds; is, B = C. The statement is true.

In matrix algebra, the cancellation law is a crucial property to know. It states that if AB = AC, then B = C when A is a nonsingular matrix.

The given statement is true, which means that if AB = AC and A are nonsingular, then B = C. The cancellation law in matrix algebra is a property that helps in solving linear equations involving matrices. It states that if AB = AC and A is a nonsingular matrix, then B = C.

Therefore, we can say that if AB = AC and A is nonsingular, then B = C is true.

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Determine whether the quadratic function y=x^2+6x+10 has a maximum or minimum value.

Answers

Answer is minimum value

This parabola opens up so the vertex is the lowest point on the graph, or the minimum value of the quadratic function.

If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value.

What is the domain of the function y = 2x²? To answer the question, ask yourself if there
are any restrictions on the values you may substitute for x.

Answers

Answer:

Step-by-step explanation:

Any value of x may be substituted into this function. So the domain is:

[tex]D=(-\infty , \infty)[/tex] or D=all real [tex]x[/tex]

I am not sure the format how you have been taught to write the answer.

The domain of the function y = 2x² is all real numbers, since there are no restrictions on the values that may be substituted for x.

distribute and simplify the following: (v+8)•(v+9)

Answers

Answer:

(v+8) x (v+9)

We can multiply v into the other two terms in the second bracket, then we can do the same with 8.

(v*v + v*9) + (8*v + 8*9)

v² + 9v + 8v + 72

v² + 17v + 72.

a random digit dialing sample of 2092 adults found that 1318 used the internet. of the users, 1041 said that they expect businesses to have web sites that give product information. in your business economics class at school, your teacher said that 80% of all internet users believe this. what is the appropriate z-value to use in this situation?

Answers

The appropriate z-value to use in the situation given in the question is 1.28.

Given,Total number of adults in the sample = 2092

Number of adults using the internet = 1318

Number of internet users who expect businesses to have websites that give product information = 1041

Probability of internet users who expect businesses to have websites that give product information as per the teacher's statement = 80% = 0.8

To find the appropriate z-value to use in this situation, we need to calculate the standard error of proportion, which is given by:

SEp = √[p(1-p)/n]

where p is the proportion of internet users who expect businesses to have websites that give product information and n is the sample size.

Substituting the given values in the formula,

SEp = √[(1041/1318)(1-1041/1318)/1318]SEp = 0.019

z-value is given by:

z = (p - P)/SEp

where P is the proportion of internet users who expect businesses to have websites that give product information as per the teacher's statement.

Substituting the given values in the formula,

z = (0.8 - 1041/1318)/0.019

z = - 1.28

The appropriate z-value to use in this situation is -1.28.

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The sum of interior angles of a regular polygon is
1800⁰. Calculate the size of one exterior angle of
the polygon.

Answers

Answer:

Step-by-step explanation:

Patricia has a savings account with $89 in it that earns 4.7% simple interest per year. How much money, to the nearest penny, will Patricia have in 5 years?

Answers

Answer:simpler interest is 109.92. Annual compounded interest is 111.98

Step-by-step explanation:

Answer: $209.2

Step-by-step explanation:
hey! i'm gonna try to make this as simple as possible;
with simple interest, the formula to this is I = PRT (Interest = Principle x Rate x Time).
we're going to take the $89 , 4.7% simple interest and the 5 years together into the same sentence like the formula.
89 (Principle, the money) x 4.7% (Interest rate) x 5 (Time). we'll narrow down the decimal by moving the decimal forward once so we get a decimal of .47 / 0.47.
back to the equation, it is now 89 x .47 x 5. multiply all those and you'll get a sum of 209.15! by the end of the five years, patricia will have $209.15. to the nearest penny, she will have $209.2. (5 or more, it goes to the next number. 4 or less, it stays in the same place.)
hope this helped :)

please help with solving find the value of k and the two roots of x

Answers

The approximate value of K of the given quadratic equation is: 16.842

How to solve Quadratic equations?

The general expression of a quadratic function is:

ax² + bx + c = 0

The quadratic formula to find the roots is expressed as:

x = [-b ± √(b² - 4ac)]/2a

The product of the 2 roots of the quadratic equation is equal to the constant term.

Let a and b be used to denote the roots of a given quadratic equation.

But according to given condition, one root is equal to the square of the other root. Thus: b = a²

Thus:

a + a² = k

a * a² = 48

a³ = 48

a = 2∛6

Thus:

2∛6 + (2∛6)² = k

k = 16.842

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The table represents some points on the graph of an exponential function
Which function represents the same relationship?

Answers

The function [tex]f(x) = 648 × { (\frac{1}{3} )}^{x} [/tex] represents the same relationship.

Here given a function f(x)

When x= 0,1,2,3,4 the value of f(x) will be 648,216,72,24,8 respectively.

The function that represents the same relationship as the table is [tex]f(x) = 648 × { (\frac{1}{3} )}^{x} [/tex]

We can see that each successive value of f(x) is one-third of the previous value. So, we know that the function is of the form [tex]f(x) = a { (\frac{1}{3} )}^{x} [/tex] for some constant a.

To find the value of a, we can use the fact that f(0) = 648.

Substituting x = 0 into the equation gives f(0) = a(1/3)⁰ = a = 648

So, the function is [tex]f(x) = 648 × { (\frac{1}{3} )}^{x} [/tex]

Therefore, the correct answer is [tex]f(x) = 648 × { (\frac{1}{3} )}^{x} [/tex]

So, option D is the correct option.

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Write the expression as a single power of 6 6^8/6^4

Answers

To simplify this expression, we can use the rule of exponents that states when dividing two powers with the same base, we can subtract their exponents. Therefore:

6^8/6^4 = 6^(8-4) = 6^4

So the expression 6^8/6^4 can be simplified as a single power of 6, which is 6^4.

Ruby wants to make 45 cupcakes.
Use your answer to b) to work out fi she has enough sugar left.

Answers

Since Ruby has 3 cups of sugar left, she has enough sugar to make the 45 cupcakes she wants

How to solve

If Ruby needs 2 cups of sugar to make 45 cupcakes, then we can calculate how much sugar she needs for one cupcake by dividing 2 cups of sugar by 45 cupcakes:

2 cups of sugar / 45 cupcakes = 0.0444 cups of sugar per cupcake (rounded to 4 decimal places)

To make 45 cupcakes, Ruby would need:

45 cupcakes x 0.0444 cups of sugar per cupcake = 1.998 cups of sugar (rounded to 3 decimal places)

Since Ruby has 3 cups of sugar left, she has enough sugar to make the 45 cupcakes she wants (3 cups of sugar > 1.998 cups of sugar needed for 45 cupcakes).

Answers

To solve the equation (X+3)(X-8) = -30 using the quadratic formula, we first need to expand the left-hand side of the equation:

(X+3)(X-8) = X^2 - 5X - 24

Now we can rewrite the equation as:

X^2 - 5X - 24 = -30

Adding 30 to both sides, we get:

X^2 - 5X + 6 = 0

Now we can use the quadratic formula:

X = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = -5, and c = 6.

Plugging these values into the formula, we get:

X = (-(-5) ± sqrt((-5)^2 - 4(1)(6))) / 2(1)
X = (5 ± sqrt(1)) / 2

Simplifying, we get:

X = 3 or X = 2

Therefore, the solutions to the equation (X+3)(X-8) = -30 are X = 3 and X = 2.

Answer:

X = 3,2

Step-by-step explanation:

1)Expand.

[tex]x^{2}[/tex] - 8X+3X - 24 = -30

2)Simplify [tex]x^{2}[/tex]-8X+3X-24 to [tex]x^{2}[/tex]-5X - 24.

[tex]x^{2}[/tex] – 5X – 24 = –30

3)Move all terms to one side.

[tex]x^{2}[/tex] - 5X - 24+ 30 = 0

4)Simplify [tex]x^{2}[/tex]–5X-24+30 to [tex]x^{2}[/tex] - 5X + 6.

[tex]x^{2}[/tex] - 5X + 6 = 0

5)Factor [tex]x^{2}[/tex]–5X+6.

(X-3)(X-2) = 0

6)Solve for X.

X = 3,2

Maya is cutting strips of fabric to use when she makes a basket. She cuts a strip of fabric that is 9 1/3 yards long into pieces that are 2/3 yards long.

How many 2/3-yard long pieces can she cut from the strip of fabric?
A. 9 2/3
B. 9 1/3
C. 14
D. 6 2/9

Answers

i think the answer is C

Answer:

Step-by-step explanation:

question in picture below

Answers

The inequality shown by the graph is 4y+3x≤8x+2y+16 (option C).

Describe Inequality?

In mathematics, an inequality is a statement that compares two values, expressing that one value is greater than, less than, or equal to the other. It is represented by symbols such as <, >, ≤, ≥, and ≠. For example, 5 > 3 is an inequality that means "5 is greater than 3", while 2x + 3 ≤ 7x - 2 is an inequality that means "the sum of 2 times x and 3 is less than or equal to 7 times x minus 2". Inequalities are commonly used in algebra, geometry, and real analysis to express relationships between quantities and to find solutions to equations and systems of equations.

To determine the inequality shown by the graph with coordinates (0,8) and (0, 3.25), we need to find the slope-intercept form of the equation for the line passing through these points.

The slope of the line is:

(y2 - y1) / (x2 - x1) = (3.25 - 8) / (0 - 0) = -4.75 / 0 (which is undefined)

Since the line is vertical, its equation is x = 0.

Substituting this into the inequality options, we can see that only option C results in a true statement:

A) 4y+3x≤8x+6y+16 -> 4(8) + 3(0) ≤ 8(0) + 6(8) + 16 -> 32 ≤ 64 (not true)

C) 4y+3x≤8x+2y+16 -> 4(8) + 3(0) ≤ 8(0) + 2(8) + 16 -> 32 ≤ 32 (true)

B) 4y-3x≤5x+2y+16 -> 4(8) - 3(0) ≤ 5(0) + 2(8) + 16 -> 32 ≤ 32 (true)

D) 4y-3x≤8x+2y+16 -> 4(8) - 3(0) ≤ 8(0) + 2(8) + 16 -> 32 ≤ 32 (true)

Therefore, the inequality shown by the graph is 4y+3x≤8x+2y+16 (option C).

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sami planned to spend the weekend camping, so on friday night he drove from his house to the nearest campsite at a speed of 60 miles per hour. after the weekend was over, he went the same way home, but he drove at a speed of 40 miles per hour because of the bad weather. if altogether he spent a total of 7 hours driving, how many hours did the trip to the campsite take?

Answers

The trip to the campsite took 2 hours for Sami.

The total time taken by Sami on his journey = 7 hours

Let the time taken by Sami while going from his house to the campsite be 'x' hours

And, the time taken by Sami while coming back from the campsite to his house be 'y' hours

Speed while going from house to campsite = 60 miles per hour

Speed while coming back from campsite to house = 40 miles per hour

Distance from house to campsite and back will be equal as Sami will take the same route.

Let the distance be 'd'.

So, according to the question,
Distance = Speed × Time

We know that,
Time taken while going from house to campsite + Time taken while coming back from campsite = 7 hours

x + y = 7 ...(1)

Distance while going from house to campsite = Distance while coming back from campsited = 2d ...(2)

Distance = Speed × Timex = d/60 ...(3)

y = d/40 ...(4)

Substituting (2), (3) and (4) in (1), we get,

d/60 + d/40 = 7

Solving the equation, we get d = 120

Therefore, Time taken while going from house to campsite, x = d/60 = 2 hours

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Answers

I'm sorry, but I don't see a question or any context for your statement. Could you please provide more information or clarify your request?

Choose ALL answers that describe the polygon ABCD if measure A is congruent to measure B, and measure C is congruent to measure D.
and segment Ab is parallel to segment CD

Parallelogram
Quadrilateral
Rectangle
Rhombus
Square
Trapezoid

Answers

The answers that describe the polygon ABCD if measure A is congruent to measure B, and measure C is congruent to measure D, and segment AB is parallel to segment CD are;

A. Parallelogram

B. Quadrilateral

C. Rectangle

D. Rhombus

E. Square

What is a parallelogram?

In Mathematics, a parallelogram simply refers to a four-sided geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that is composed of two (2) equal and parallel opposite sides.

What is a rhombus?

In Mathematics and Geometry, a rhombus is a type of quadrilateral that is composed of four (4) equal sides and opposite interior angles that are congruent (equal).

In conclusion, a square, parallelogram, rectangle, rhombus, and quadrilateral satisfies the given conditions.

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Pls helpppp and explain if you canI’ll mark you brainlist

Answers

Answer:

B) a 180° rotation about the origin

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below. Solve for x. (2x+10) 36

Answers

If we are doing that equation- and I was solving for X the best and possible answer would be 72x+360.

1. Solve 8^2x=32^(x+3)
(a)Rewrite the equation using the same base.
(b)Solve for x. Remember to show all work
PLEASE SHOW ALL WORK FOR BRAINLIEST

Answers

(a) We can rewrite 32 as 2^5, so we have:

8^(2x) = (2^5)^(x+3)

Simplifying the right side, we get:

8^(2x) = 2^(5x+15)

(b) Now we can use the fact that 8 is 2^3, so we can rewrite the left side as (2^3)^(2x) = 2^(6x), giving us:

2^(6x) = 2^(5x+15)

Since the bases are equal, we can equate the exponents and solve for x:

6x = 5x + 15

x = 15

Therefore, the solution is x = 15.

a) Complete the number machine so that z = 5w-3 Input

Answers

Output z obtained as: multiply w with 5 and then subtract 3 from the result: w --> *5 ---> -3 ---> z.

Explain about the linear equations?

There are only one or two variables in a linear equation.

No variable can be multiplied by a number larger than one or can be utilized as the denominator of either a fraction in a linear equation.All of the points fall on the same line when you identify the values that together constitute a linear equation true as well as plot those values on a coordinate grid. A linear equation has a straight line as its graph.The relationship involving distance and time in this equation will be linear for any provided steady rate. However, as distance is commonly defined as a positive number, the first quadrant of this relationship's graphs will typically include the only points.

The given expression is:

z = 5w-3

Here:

Input value : 5w-3

Output value : z

So,

Output z obtained as:

multiply w with 5 and then subtract 3 from the result:

w --> *5 ---> -3 ---> z

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i need help with work attached

Answers

The equation of the polynomial using finite difference is y = 18x^3 - 126x^2 + 269x - 163 and other solutions are shown below

Finding the equation of the polynomial

To find the equation of the polynomial table using finite difference, we need to calculate the differences.

The differences are obtained by subtracting each value of y from the next value of y and this is repeated for the differences

So, we have

x 1 2 3 4 5

y -2 15 -4 49 282

1st 17 -19 53 233

2nd -36 72 180

3rd 108 108

Since the third differences are all the same, this indicates that the original data can be represented by a cubic polynomial.

We can use the formula for a cubic polynomial:

y = ax^3 + bx^2 + cx + d

Using the table of values, we have:

a + b + c + d = -2

8a + 4b + 2c + d = 15

27a + 9b + 3c + d = -4

64a + 16b + 4c + d = 49

Using a graphing calculator, we have

a = 18, b = -126, c = 269 and d = -163

So, we have

y = 18x^3 - 126x^2 + 269x - 163

Equations of the cubic polynomial

We can use the formula for a cubic polynomial:

y = a(x - x1)(x - x2)(x - x3)

Using the ordered pairs, we have:

y = a(x + 3)(x + 1)(x - 2)

At (0, -12), we have

a(0 + 3)(0 + 1)(0 - 2) = -12

a = 2

So, we have

y = 2(x + 3)(x + 1)(x - 2)

Expand

y = 2x^3 + 4x^2 - 10x - 12

Equations of the cubic polynomial

We can use the formula for a cubic polynomial:

y = a(x - x1)(x - x2)(x - x3)

Using the ordered pairs, we have:

y = a(x + 10)(x + 5)(x - 4)

At (-8, -2), we have

a(-8 + 10)(-8 + 5)(-8 - 4) = -2

a = -1/36

So, we have

y = -1/36(x + 10)(x + 5)(x - 4)

Expand

[tex]y = -\frac{x^3}{36}-\frac{11x^2}{36}+\frac{10x}{36}+\frac{200}{36}[/tex]

The number of solutions in g(x)

We have

g(x) = -9x^5 + 3x^4 + x^2 - 7

g(x) is a polynomial function of odd degree (5), so it will have at least one real root.

Also, the leading coefficient is negative;

So, g(x) has at least one root in the interval (-∞, ∞).

Since g(0) = -7 < 0 and g(1) = -12 < 0, and g(x) is continuous, there exists a root of g(x) in the interval (0, 1).

Similarly, since g(-1) = 6 > 0 and g(-2) = 333 > 0, there exists a root of g(x) in the interval (-2, -1).

Since g(x) is a polynomial of odd degree, it cannot have an even number of real roots.

Therefore, g(x) has exactly one real root.