Solve the compound inequality.

The given statement fraction numerator 6 y plus 2 x over denominator 5 end fraction in numerical form 18 is 6y + 2x = 90.

A linear equation in two variables has the highest degree of 1 and contains two variables generally in x and y.

Given in numerator we have 6y + 2 and in the denominator, we have 5 and this fraction equals to 18, This can be numerically represented as

(6y + 2x)/5 = 18.

6y + 2x = 90.

This is a linear equation in two variables x and y and for every value of x we get a corresponding value of y or vice-versa and all (x,y) ∈ R.

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The total number of servings is equal to the product of 5, 4 and 3. Thus, the required number of servings is 60.

A product is something that has undergone one or more multiplications. For instance, the mathematical formula "times equals" would be written with the terms "times," "multiplicand," and "product," respectively.

A number can be multiplied by another number to determine each of its products. For instance, 9 x 3 equals 27, so 27 is a product of 9 and 3. Each number has an infinite number of possible products because it can be multiplied by an infinite number of different numbers to produce an infinite number of results. When considering how to find the product of a number, there are some simple facts to understand. For instance, any whole number multiplied by two will always result in an even number.

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Answer:

In order to round 25.691 to the greatest place or the nearest whole number, first start at the last digit behind the decimal, in the case, being the 1. When it comes to things like this, if the digit is 4&under meaning its the number 4,3,2,1 or 0. If it is 5&up, that means it could be 5-9, making the digit go up (but if its 2, then the digit just goes away, you wont have to worry about that one specific number).

Next step is to round the 9 which makes the 6 go up one digit (meaning it turns into a 7). Now, when you round the seven, it will make the whole number go up one digit, but if you want to round that as well, to start, it's first rounding equaled up to 26. If you're rounding it to a whole tens number, it would be 30. I hope that this helps you understand this subject or topic much better! :3

Step-by-step explanation:

If by eating 2 eggs and 1​ cupcake, a child consumes 571 mg of cholesterol. The amount of cholesterol that is in each​ item are; 19 mg, 276mg, 8 mg.

E + C + P = 303

Where:

Egg=E

Cupcake=C

Pizza=P

Hence,

3C + 4P =89

4P = 89-3C

P = (89-3C)/4

2E + C = 571

2E = 571-C

E = (571-C)/2

(571-C)/2 + C + (89-3C)/4 = 303

(571-C)2 + 4C + 89-3C = 303×4

(571-C)2 + 4C + 89-3C = 1212

1142 -2C + 4C + 89-3C = 1212

-C = 1212-89-1142

C =19mg (1 cupcake)

E = (571-C)/2

E= (571-19)/2

E=552/2

E= 276mg  (1 egg)

P = (89-3C)/4

P = (89-3(19))/4

P = (89-57)/4

P=32/4

P=8 mg (1 pizza)

So,

Egg=E=19 mg

Cupcake=C=276 mg

Pizza=P=8 mg

Check:

19+276 + 8 = 303 mg

Therefore If by eating 2 eggs and 1​ cupcake, a child consumes 571 mg of cholesterol. The amount of cholesterol that is in each​ item are; 19 mg, 276mg, 8 mg.

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Answer:

If they all had to equal 360 when put together then the answer would be 22. If they All had to equal 180 when put together, then the answer would be 2.

Step-by-step explanation:

The directions are not quite clear but I have two answers just in case.

Answer: Bill weighs 230 pounds and he needs to carry boxes that weigh 75 pounds each. Use the equation 75b+230< =1805 to find the greatest number of boxes Bill can carry in the elevator in one trip.

Step-by-step explanation:

Find the altitude of the top of the hill by adding the difference to the altitude of the check point 3:

Find the difference between the two altitudes:

You got it correct.

Answer:

y=35, z=111

Step-by-step explanation:

By the same-side interior angles theorem, z=111.

By the alternate interior angles theorem,

[tex]111=4y-29 \\ \\ 140=4y \\ \\ y=35[/tex]

Answer:

-1020

Step-by-step explanation:

-17 x - 5 x - 12 =

- 17 x 60 =

- 1020

Answer:5.05y

Step-by-step explanation:

Therefore, the expanded form of the expression y (0.5 + 8) is 0.5y + 8y

Using this example we can find out that 0.5y+5 y=5.05 y thats the answer

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25 percent of the original price was saved during the purchase of the futon bed

The percent of the original price that is saved can be calculated as follows

The original price is $700

The new price is $525

The first step is to calculate the percentage change

= 700-525

= 175

Therefore the percent saved can be calculated as follows

= 175/700 × 100

= 0.25 × 100

= 25

Hence 25 percent of the original price was saved

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Answer: c=√29

Step-by-step explanation:

We use Pythagoras' theorem:

[tex]c^2=5^2+2^2\\c^2=5*5+2*2\\c^2=25+4\\c^2=29\\[/tex]

Extract the square root of both parts of the equation:

[tex]\sqrt{c^2}=\sqrt{29} \\ c=\sqrt{29}[/tex]

Answer:

8.391

1. Compare the first digit. If they are the same, move on to the next digit. In this case, we have to look at the hundredths place.

2. Check to see which number is bigger. We are looking at 9 and 7. 9 is the bigger number. this means that 8.391 is bigger.

Function g (x) horizontal shift left with 5 units.

What is Transformation?

The act or process of changing completely is called transformation.

Given that;

The parent function is;

f (x) = |x|

and , After transformed the function is g(x) = |x + 5|

Now, Compare the function to the parent function we get;

The transformation occur from f (x) = |x| to g (x) = |x + 5|.

Function g (x) = |x + 5| horizontal shift left with 5 units.

So, Function g (x) horizontal shift left with 5 units.

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Answer:

4736 because count add them together or do it your way

The five number summary are as follows:

The range of the data sets is 25.

The interquartile range of the sets is 12.

The five number summary describes where data values occur, their central tendency, variability, and the general shape of their distribution.

The five number summary includes minimum number, maximum number, median(Q₂), first quartile(Q₁) and third quartile(Q₃).

Therefore, the five number summary are as follows:

27, 30, 41, 27, 20, 22, 36, 37, 44, 45, 29, 29

Arrange the data in ascending order.

20, 22, 27, 27, 29, 29, 30, 36, 37, 41, 44, 45

There are as follows;

Therefore,

Range of the data sets = 45 - 20 = 25

Interquartile range (IQR) = Q₃ - Q₁ = 39 - 27 = 12

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Answer:

99%

Step-by-step explanation:

The time taken depends upon velocity and distance so the time taken by both balls to reach the same height will be 30 seconds.

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

Units of velocity are given by ⇒ meter/second

For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.

Difference between their initial height = 40 - 25 = 15 feet

It means if baseball cover x feet distance then football will cover x + 15 feet.

Now,

Time = distance covered / velocity

Since the time will be the same for both balls to meet them.

So,

Distance covered by baseball/velocity of baseball = Distance covered by football/ velocity of football

x/2.5 = (x + 15)/3

3x = 2.5x + 37.5

0.5x = 37.5

x = 75

So,

Time taken = 75/2.5 = 30 seconds.

Hence "After 30 seconds both balls will go to reach the same height".

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Check the picture below.

5x + 13y is prime ,  it cannot be factored.

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial .

Some trinomials cannot be factored. If none of the pairs total b, then the trinomial cannot be factored.

Given equation is 5x + 13y

If a polynomial is prime, then it cannot be factored. 5x + 13y is prime.

In this regard,

The law of detachment states that

1) If p happens, then q happens;

2) p is true;

Then, a there is a third statement that is

3) q is also true.

In this question,

If a polynomial is prime, then it cannot be factored.

The statements in the question can be represented as:

(1) If 5x + 3y is a polynomial and is prime then it cannot be factored

(2) It cannot be factored

Using the above representations of p and q, as an illustration; the third statement would be:

(3) 5x + 3y is a polynomial and is prime then we can conclude that

5x + 13y cannot be factored.

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The estimated area of the circular watch face is: 8 cm².

The formula to use in determining or estimating the area of any shape that is circular is expressed as:

Area = πr², where the radius of the circular shape is represented as r.

Given the following:

Diameter of the circular watch face = 3.2 centimeters

The radius = 1/2(diameter) = 1/2(3.2)

Radius (r) = 1.6 centimeters

Plug in the value into πr² to find the estimated area of the watch face:

Area of the watch face = π(1.6²)

Area of the watch face ≈ 8 cm²

Therefore, the estimated area of the circular watch face is: 8 cm².

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From the temperatures given, we have that:

a) The regression equation is: y = 2.91x + 64.61.

b) The predicted temperature at 2 pm is of 88 ºF.

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

In the context of this problem, the input and the output are given as follows:

We have that an hour is 60 minutes, hence:

Thus the points are given as follows:

(0, 65), (0.75, 67), (1.5, 68), (2.5, 72), (3, 74), (3.75, 75), (4.5, 77), (5,80).

Inserting these points into the calculator, the equation is:

y = 2.91x + 64.61.

2 pm is 8 hours after 6 am, hence x = 8 and the predicted temperature, in ºF, is given by:

y = 2.91(8) + 64.61 = 88 ºF.

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(2,3) is a solution to the system of equations.

A collection of one or more linear equations containing the same variables is known as a system of linear equations (or linear system).

Consider the system of equations,

2x - 3y = - 5                                                                                 --------(1)

4x - 4y = - 4                                                                                 --------(2)

Multiplying equation (1) with 2.

4x - 6y = - 10

4x - 4y = - 4

Now, subtracting the above equations:

4x - 6y - ( 4x - 4y) = - 10 + 4

4x - 6y - 4x + 4y = - 6

- 2y = - 6

2y = 6

y = 3

Then,

4x - 4y = - 4

4x - 4 × 3 = - 4

4x - 12 = - 4

Adding 12 on both sides of the equation,

4x - 12 + 12 = - 4 + 12

4x = 8

x = ( 8/4 )

x = 2

Therefore, (x, y) = ( 2, 3) is a solution to the system of equations.

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Answer:

Yes

Step-by-step explanation:

Answer:b B

Step-by-step explanation:or a

A coefficient in the algebraic expression is: 5

The constant is: 12

A variable is: x

A term in the algebraic expression can be: 5x or 12.

An algebraic expression consist of terms, which can be:

Thus, given the algebraic expression, 5x + 12, the following parts of the algebraic expression can be identified as shown below:

A coefficient in the algebraic expression is: 5 (tis is the number multiplied by the variable x)

The constant is: 12 (this is the number standing alone)

A variable is: x (this is the alphabet in the algebraic expression)

A term in the algebraic expression can be: 5x or 12.

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Answer:

3

Step-by-step explanation:

See the attached image.

Answer:

Triangle B is a dilation of A with approximately what scale factor

Triangle B is a dilation of A with approximately a scale factor of 8.

Triangle A is a dilation of B with approximately a scale factor of 1/8.

Triangle B is a dilation of C with approximately a scale factor of 3/4.

We have,

In mathematics, dilation refers to the transformation of a shape, object, or figure by uniformly scaling it up or down.

When the constant factor is greater than 1, the dilation results in an enlargement of the shape, making it larger.

Conversely, when the constant factor is between 0 and 1, the dilation leads to a reduction of the shape, making it smaller.

Now,

Triangle B is a dilation of A with approximately by a scale factor of:

Since triangle B is greater than A.

The scale factor is greater than 1.

Triangle B looks 8 times of triangle A.

So,

The scale factor is 8.

And,

Triangle A is a dilation of B with approximately by a scale factor of:

Since triangle B is smaller than A.

The scale factor is less than 1.

Triangle A looks like 12.5 % of triangle C.

12.5% = 1/8

So,

The scale factor is 1/8.

Triangle B is a dilation of C with approximately by a scale factor of:

Since triangle B is smaller than A.

The scale factor is less than 1.

Let's say,

Triangle B looks 75% of triangle C.

So,

The scale factor is 3/4.

Thus,

Triangle B is a dilation of A with approximately a scale factor of 8.

Triangle A is a dilation of B with approximately a scale factor of 1/8.

Triangle B is a dilation of C with approximately a scale factor of 3/4.

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