Yaritza and her children went into a restaurant that sells hamburgers for $5 each and tacos for $2.50 each. Yaritza has $60 to spend and must buy at least 14 hamburgers and tacos altogether. If x represents the number of hamburgers purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.

The value of x is -40.

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

One fifth times quantity x plus 15=(1/5)(x+15)

So, one fifth times quantity x plus 15 end quantity equals negative 5 shows"

(1/5)(x+15)= -5

0.2(x+15)= -5

0.2x+3= -5

0.2x=-5-3

0.2x=-8

x=-8/0.2 = -40

So, the value of x is -40.

To learn more about the  equation from the given link

https://brainly.com/question/28218072

#SPJ1

Answer:

Hugh will go on 3 runs !

Step-by-step explanation:

12/4=4/6

The co-ordinate of y intercept is 9 i.e. option (E)

What is Co-ordinate Geometry?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

Solution:

Given the equation 6x = 2y - 18

See the attached graph below

So we can observe that on x = 0

The y intercept is equal to 9

So, the co-ordinates of the point of intercept is (0,9)

To learn more about Co-ordinate Geometry from the given link

https://brainly.com/question/18269861

#SPJ1

The length of the rope that is needed for the 16 students of the class is 6   yards .

In the question ,

it is given that

the class is learning to tie knots .

the length of rope required by 1 student to tie the knot = 3/8 yards ,

the length of rope for 16 students can be calculated using the formula

length of rope for 16 students = 16 × (length of rope required by 1 student)

Substituting the values

we get ,

length of rope for 16 students = 16 × 3/8

= 2 × 3

= 6

Therefore , 16 students will require 6 yards of rope .

The given question is incomplete , the complete question is

Your class is learning to tie knots. Each student needs a piece of rope that is 3/8 yards long. How many yards of rope are needed for the 16 students in your class ?

Learn more about Multiple here

https://brainly.com/question/1149180

#SPJ1

The value of x is 65°

From the question, we have

BD = CD.

As the sides are equal

∠BCD=∠CBD= 70°

70° = x + 5°

x = 70°-5°

x = 65°

Subtraction:

Subtraction symbolizes the activity of deleting elements from a collection. A negative symbol is used to denote subtraction. The stack will include nine oranges less four oranges, or five oranges, for example, if there are nine oranges stacked together (as seen in the above figure) and four of those oranges are later moved to a basket. As a result, the difference between 9 and 4 is equal to 5, or 9. In addition to being used with natural numbers, subtraction can also be incorporated into other sorts of numbers. The letter "-" stands in for subtraction. The difference, the minuend, and the subtrahend are the three numerical components that make up the subtraction operation.

To learn more about subtraction visit: https://brainly.com/question/2346316

#SPJ1

Answer:11.4

Step-by-step explanation: Set up a proportion: [tex]\frac{15}{x}[/tex]=[tex]\frac{5}{3.8}[/tex]

To solve a proportion, multiply the numbers diagonal from each other, then divide by the last number. In this problem, we would multiply 15 and 3.8, which equals 57, then we would divide by 5. That is why the answer is 11.4.

hope this helps!

please give brainliest!

The equation:

1/3y = -1

Is equivalent to a horizontal line, so the equation is linear.

A general linear equation is written as:

y = m*x + b

Where m is the slope of the line and b is the y-intercept

In this case, we have the equation:

1/(3y) = -1

So "y" is on the denominator, if we multiply both sides by y, we get:

1/3 = -y

Now we can multiply both sides by -1:

-1/3 = y

So we have a linear equation with a slope equal to zero:

y = 0*x - 1/3 = -1/3

This is a horizontal line.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Answer:

[tex]\huge\boxed{\sf Area = 454.4\ mm\²}[/tex]

Step-by-step explanation:

Given that,

Radius = r = 12 mm

We know that,

So,

Area = (3.14)(12)²

Area = (3.14)(144)

Area = 454.4 mm²

[tex]\rule[225]{225}{2}[/tex]

Answer:

7/66

Step-by-step explanation:

Given problem,

→ (7/10) × (1/3) × (5/11)

Let's solve the given problem,

→ (7/10) × (1/3) × (5/11)

→ (7 × 1 × 5)/(10 × 3 × 11)

→ 35/330

→ 7/66

Hence, the answer is 7/66.

Answer:

2.375 inches

Step-by-step explanation:

Main Steps

1. Identifying important parts of the question

2. Solving the problem

Step 1. - Identifying important parts of the question

In the question, there is some extraneous information.  For instance, the question introduces the terms "diameter" and "loaded in shear" and "with a safety factor of 1.5".  However, given the information in the problem, and the question asked, it isn't necessary to know that it is "loaded in shear" means, or to know what a diameter is (since everything stays with diameters, and doesn't involve another dimension), and the problem gives the result that will satisfy "a safety factor of 1.5".

Sifting through the problem/question, these are the important parts:

- "to the nearest 1/8 inch" (meaning round to the nearest 1/8th of a unit)

- with "units of inches to 3 decimal places"

- The number to round is "2.4183 inches

Step 2. - Solving the Problem

To round to the nearest 1/8 inch, we can divide the number 2.4183 by 1/8.  

[tex]2.4183 \div(1/8)[/tex]

Recall that dividing by a fraction is the same as multiplying by the reciprocal

[tex]2.4183 * 8[/tex]

19.3464

So, there are approximately 19, one-eighth-inches in the measurement.  (Note that 19.3464 is closer to 19 than it is to 20).  To find the final rounded measurement, multiply 19 by 1/8

[tex]19 * (1/8)[/tex]

2.375 inches

So, the diameter of the bolt that should be used (if rounded to the nearest 1/8 inch, to allow for a factor of safety of 1.5) is 2.375 inches

Answer: 30,000

Step-by-step explanation: 50,000 - 20,000 = 30,000

The probability that the student is a boy with glass is 3/20

Number of boys in the class = 6 boys

Number of girls in the class = 14 girls

Half of the boys wear glass

The number of boys that wear glass = 6 / 2

= 3 boys

Total number of students in the class = 6 + 14

= 20 students

Probability = Number of favorable outcomes / Total outcomes

= The number of students that wear glass / Total number of students

Substitute the values in the equation

= 3/20

Hence, the probability that the student is a boy with glass is 3/20

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer:

Factor 49x^2-4 49x2 − 4 49 x 2 - 4 Rewrite 49x2 49 x 2 as (7x)2 (7 x) 2. (7x)2 − 4 (7 x) 2 - 4 Rewrite 4 4 as 22 2 2.

Step-by-step explanation:

Hoped it helped

Answer:

(7x-2)(7x+2)

Step-by-step explanation:

This was the easiest thing I had in Analytic Geometry!!

Answer:

Equation 1: 3x + 4y = 31

Equation 2: 3x - 4y = -1

Add Equation 1 to Equation 2 gets you:

6x = 30

6x/6 = 30/6

x = 5

The answer is x = 5.

The number of chocolate cookies that were sold is 22100.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Since the ratio of chocolate : vanilla is 2:1 and the charity sells 2210 boxes of cookies, the number of chocolate will be:

= 2/(2+1) × 2210 × 15

= 2/3 × 2210 × 15

= 22100

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

Rounded to three decimal places, the standard deviation of the sampling distribution of the sample proportion is 0.024.

The degree of variance or dispersion of a collection of numbers from the mean is measured by standard deviation. It is calculated as the square root of variance, which is the average of the squared deviations from the mean. A low standard deviation suggests that the values are close to the mean, whereas a high standard deviation suggests that the values are dispersed over a wider range. In many other disciplines, including finance and economics, standard deviation is frequently used to assess the risk or volatility of a particular dataset. It is also frequently used in statistics and probability theory. Due to its ability to objectively compare and contrast various values, it is a crucial statistic for comprehending and analyzing data.

How to solve?

sqrt( (population proportion * (1 - population proportion)) / sample size)

sqrt( (0.54 * (1 - 0.54)) / 31) = 0.024

Rounded to three decimal places, the standard deviation of the sampling distribution of the sample proportion is 0.024.

To learn more about the standard deviation, visit:

https://brainly.com/question/16555520

#SPJ4

Answer:

A: 1

Step-by-step explanation:

the lines only intersect once and will never intersect again so only 1 solutions

Hopes this helps please mark brainliest

Grey will record interest during the year totaling $500.

For the stated question-

Borrowed money from national bank =  $15,000.

Time 120 days.

10% interest-bearing note

Thus, interest during the year;

interest = 15000 x 120 x 0.10 / 360 (days)

interest = 500

Thus, Grey will record interest during the year totaling $500.

To know more about the interest-bearing note, here

https://brainly.com/question/28138821

#SPJ4

The value of d i s 1 .

ie. d=1

Define linear equation .

An equation between two variables that gives a straight line when plotted on a graph.

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables .

Given:

d - 10 - 2d + 7 = 8 + d - 10 - 3d

On rearranging the given equation ,we get

In other words on taking the like terms to on one side ,so

⇒(d-2d-d+3d)=(8-10+10-7)

⇒d=1

Learn more about linear equations by :

https://brainly.com/question/12788590

#SPJ4

The length of RT is 12 units.

What is length?

Distance is measured by length. Length is a quantity having the dimension distance in the International System of Quantities. Most measuring systems use a base unit for length from which all other units are derived. The metre is the basic unit of length in the International System of Units (SI). The greatest extended dimension of a stationary item is typically believed to be its length. This is not always the case, as it may depend on the location of the item. When there is a basis from which vertical measurements may be made, height is employed. When length is the greatest dimension, width or breadth generally relate to a lesser dimension.

given, RS+ST=RT

or, 9 + x - 1 = 3x

or, 8 + x = 3x

or, 3x - x = 8

or, 2x = 8

or, x = 8/2

or, x=4

Then, the length of RT = 3x = 3.4 = 12 units

To know more about length, click on the link

https://brainly.com/question/10070785

#SPJ13

Answer:

  A. 1/2

  D. -1/3

Step-by-step explanation:

You want to know the solutions to 6x² -x -1 = 0.

We can factor the equation as ...

  6x² -3x +2x -1 = 0

  3x(2x -1) +1(2x -1) = 0

  (3x +1)(2x -1) = 0

The solutions will make the factors zero:

  3x +1 = 0   ⇒   x = -1/3

  2x -1 = 0   ⇒   x = 1/2

The solutions are 1/2 and -1/3.

<95141404393>

Answer:

Length is 14 yd width is 11 yd

Step-by-step explanation:

The equation to find the perimeter is  ( 2 x Length ) + ( 2 x Width ), so first you divide the perimeter by 2 so we only have to add length + width, you get 25 yds. Since the length is 3 yds longer than width, you can mentally assume Length is going to be 14 yds and width is 11 yd, since Length is 3 yd longer, and finally if you add them together, 14 + 11 = 25. (Apologies if you don't understand I'm not good at explaining)

Answer:

Step-by-step explanation:

4x - 3y = 8

5x - 2y = -11

8x - 6y = 16

-15x + 6y = 33

-7x = 49

x = -7

4(-7) - 3y = 8

-28 - 3y = 8

-3y = 36

y = -12

Answer:

lmfa you answer my questions i recently posted ill answer yours...

Step-by-step explanation:

okay?

The standard deviation of the sampling distribution of the sample mean is 0.1 when a machine produces bolts that have an average length of 3 inches with a variance of .03.

The positive square root of the variance is the standard deviation. One of the fundamental techniques used in statistical analysis is standard deviation. Standard deviation, also known as SD or denoted by the symbol "σ" indicates how far a value deviates from the mean value.

Here,

σx = σ/√n

= √.03/√3

= .1732/1.732

= 0.1

When a machine creates bolts with an average length of 3 inches and a variance of.03, the standard deviation of the sampling distribution of the sample mean is 0.1.

To know more about standard deviation,

https://brainly.com/question/13905583?referrer=searchResults

#SPJ4

This rubber band's work in stretching from x = 0 to x = l is:

[tex]W=(\frac{aL^2}{2}+\frac{bL^3}{3}})[/tex]

Work is a measure of energy transfer that occurs when an object is moved over a distance by an external force that is applied in the direction of Work is a measure of energy transfer that occurs when an object is moved over a distance by an external force that is applied in the direction of displacement .

We say that work has been done whenever a force moves an object. When a ball rolls down a hill due to gravity, when you pick up your backpack from the ground, or when your car's internal engine applies a force to move your wheels, all of these events involve a force moving an object over a distance and thus involve some work. No work is done when a force is applied to an object but it does not move.

Given,

force , [tex]f=ax+bx^2[/tex]

work done can be determined by formula,

[tex]W=\int\limits^a_b F\, dx \\\\W=\int\limits^L_0(ax+bx^2)dx\\\\W=(\frac{ax^2}{2}+\frac{bx^3}{3}})|\limits^L_0\\\\W=(\frac{aL^2}{2}+\frac{bL^3}{3}})-0\\\\W=(\frac{aL^2}{2}+\frac{bL^3}{3}})[/tex]

Thus, the work done is [tex]W=(\frac{aL^2}{2}+\frac{bL^3}{3}})[/tex].

To learn more about work refer here

https://brainly.com/question/6785830

#SPJ4

We started with 11 muffins in total.

What is Addition?

Addition is a method of merging items and counting them as a single large group. In mathematics, addition is the process of joining two or more integers. The numbers added are referred to as addends, while the result or final response obtained after the procedure is referred to as the total.

Solution:

Since the orge stole 9 muffins and still we have 3 muffins left.

This implies that we started with 9+3 = 11 muffins

To learn more about Addition from the given link

https://brainly.com/question/25421984

#SPJ9

The money he will make in a five-month period is $7500.

According to the question,

We have the following information:

A gym employee earn the same amount each month. After working for three month, he earned $4,500.

Now, we will first find how much he has earned in one month by dividing the total salary with the number of months.

Note that the salary is directly proportional to the number of months with constant $1500.

So, we have the following expression:

3 months = 4500

1 month = 4500/3

1 month = $1500

Now, we can find the amount in five months period using multiplication.

5 months = 5*1500

5 months = $7500

Hence, the money he will make in a five-month period is $7500.

To know more about money here

https://brainly.com/question/11555549

#SPJ4