(Compound inequalities)
Solve for x.
-8x + 3 ≥ 27 and -13x + 5 ≥ 57
Choose 1 answer:
A: x ≤ -4
B: x ≤ -3
C: -4 ≤ x ≤ -3
D: There are no solutions
E: All values of x are solutions

Good evening ,

Answer:

Step-by-step explanation:

Perimeter of the the square = 4(3x+3) = 12x + 12

perimeter of the pentagon = 5(x+8) = 5x + 40

the perimeters are equal means 12x + 12 = 5x + 40

12x + 12 = 5x + 40 ⇔ 7x = 28 ⇔ x = 4

x=4 ⇒ 4(3x+3) = 4×15 = 60

      ⇒5(x+8) = 5(4+8) = 60

:)

Answer:

x=6

Step-by-step explanation:

The equation is 2/3x=4. So to get x alone we divide 2/3x by 2/3 and we divide 4/(2/3) because we have to do the same to both sides. So we end out with x=6. To check our work, we can do 2/3 * 6 and we get 4

The line is rising up to the left and it starts at -2,-2

If you were to continue the line to cross the y a is it would cross at (0,-3)

Find the slope

Slope = (-2 - -1) / (—2 - -4) = -1/2

It would be y= -1/2x-3 when x<-2

Answer:

*100% CORRECT ANSWERS (SEE ATTACHMENTS)

Answer:

9 two year olds, 18 three year olds, 18 four year olds

Step-by-step explanation:

Let's say x is the number of 2 year olds. There are double the number of three year olds (2x) . Four year olds is the same as 3 year olds (2x).

x + 2x +2x = 45

5x=45

x= 9

Double is 18 for 3 and four year olds.

The mathematical problem deals with finding the number of children in each age group at a preschool. By setting up an equation with the given ratios and total, we calculate that there are 9 two-year-olds, 18 three-year-olds, and 18 four-year-olds attending the preschool.

The question is a mathematical problem related to ratios and the counting of different age groups in a preschool setting.

To solve this, we first let the number of three-year-olds be represented by a variable, say 'x'. Since the number of two-year-olds is half the number of three-year-olds, we represent them as 'x/2'.

The number of four-year-olds is the same as the number of three-year-olds, which would also be 'x'. The total number of children in the preschool which is given as 45 can be expressed as the sum of two-year-olds, three-year-olds, and four-year-olds, which gives us the equation: x/2 + x + x = 45.

By solving the equation, we can determine the number of children in each age group. Multiplying both sides of the equation by 2 to eliminate the fraction, we get 2*(x/2) + 2*x + 2*x = 2*45, which simplifies to x + 2x + 2x = 90. Combining like terms we get 5x = 90, and by dividing both sides by 5, we find that x = 18.

Therefore, there are 18 three-year-olds, 18 four-year-olds, and half of 18, which is 9, two-year-olds attending the preschool.

y-y1=m(x-x1) where m is the slope, and (x1,y1) can be either one of the two points you are given. First, we need to find the slope m from the given points. Now put the point (2,3) in the point-slope equation along with the slope m to find the equation of the line between the two points.

Answer:

Slope is m = Y2-Y1

                    X2-X1

Step-by-step explanation:

Use this equation to find the slope of part 1

Then you do y-y1=m(x-x1)

Answer:

238 is the answer

Step-by-step explanation:

68 percent of 350 is 238

                                         -DH

The number preferred to vacation in Florida is 238.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that, of the 350 people surveyed recently in New York, 68% said they prefer to vacation in Florida.

The number of people will be calculated as,

N = 68% of 350

N = ( 68 x 350 ) /100

N = 238

Therefore, the number preferred to vacation in Florida is 238.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

Answer:

Step-by-step explanation:

What's the question?

Answer:

Two

Step-by-step explanation:

If you have one and added one you have two

Answer:

4 Because that’s what you get when you add them together

The price in dollars per gallon is 7.14 dollar per gallon

The dimensional analysis for calculating mathematical question follows a standard conversion process.

The first thing to do is to determine the equivalent amount of the same liter in dollar while in France. Then, equate it the quantity of liters to gallons.

In France:

Then, the amount of the same liter in dollars will be:

[tex]= \mathbf{\dfrac{1.670 \ euro \times 1.13 \ dollars}{1 euro}}[/tex]

= 1.8871 dollars per Liter

Now, we know that:

Then, we can say

Then, the amount of the dollars in gallons will be:

[tex]\mathbf{x = \dfrac{1.8871 \times 1 }{0.2641722}}[/tex]

x = 7.14 dollars per gallon

Therefore, we can conclude that the price in dollars per gallon is 7.14 dollar per gallon.

Learn more about conversion rates here:

https://brainly.com/question/13129151?referrer=searchResults

Answer: $45

Step-by-step explanation:

Let the original rice of the carousel                = $x

Therefore cost Price                                        = $36

Discount is 80% of the original price  $x        = $36

To calculate x , we find 80% of $x and equate to $36

                                                                          = ⁸⁰/₁₀₀ ˣ  $x

                                                                          = 80x/100

                                                           80x/100 = 36

Now, multiply through by 100 and divide by 80

                                                               80x   = 3600

                                                                     x  = $45.

The original price of the carousel                   = $45.

Answer:

28 degrees

Step-by-step explanation:

step 1

Find the measure of angle 1

[tex]m\angle 1+65^o=180^o[/tex] ----> by supplementary angles

[tex]m\angle 1=180^o-65^o=115^o[/tex]

step 2

Find the value of x

[tex](10x+5)^o=m\angle 1[/tex] ----> by corresponding angles

substitute

[tex](10x+5)^o=115^o[/tex]

[tex]10x=110\\x=11[/tex]

step 3

Find the measure of angle 2

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

[tex]m\angle 1+m\angle 2+(4x-7)^o=180^o[/tex]

substitute

[tex]115^o+m\angle 2+(4(11)-7)^o=180^o[/tex]

[tex]m\angle 2=180^o-152^o=28^o[/tex]

Answer:

Step-by-step explanation:

y = 4x - 4 ......slope here is 4 and y int is -4

y = -4x + 4...slope here is -4 and y int is 4

now we compare our slopes and y int's....

learn these, it helps...

if the slopes are different, and y int's are different, then u have 1 solution.

if the slopes are the same and the y int's different, then u have no solutions

if the slopes are the same and the y int's the same, there are infinite solutions.

so ur answer is : 1 solution

Step-by-step explanation:

Unit rate means one, if you buy 1 donuts you pay $0.60 for it, if you buy 12 you pay 5.88÷12=$0.49 per donut. The difference between them is 0.60-0.49=$0.11

Answer: 2 and 2/4

Step-by-step explanation: To write an improper fraction as a mixed number, divide the denominator into the numerator.

So here, we have 4 divided into 10.

4 divides into 10 one time, 2 times 4 is 8 and 10 - 8 is 2.

So 4 divides into 10 two times with a remainder of 2.

So we have 2 wholes and 2 out of 4 parts or 2 and 2/4.

So the improper fraction 10/4 can be written as the mixed number 2 and 2/4.

To convert the fraction 10/4 into a mixed number, we need to divide the numerator (10) by the denominator (4). When we divide 10 by 4, we get 2 with a remainder of 2.

The whole number part is derived from the division result, which is 2. The remainder becomes the numerator of the fractional part, while the denominator remains the same.

Therefore, 10/4 can be expressed as the mixed number 2 2/4. However, to simplify the mixed number, we can reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).

In this case, the GCD of 2 and 4 is 2. So, simplifying the fraction yields 2 1/2 as the final mixed number representation of 10/4.

To know more about Fraction :

https://brainly.com/question/10354322

#SPJ6.

Answer:

Let's do it!

Step-by-step explanation:

-6 - 7(-5) + 6

-6 + (-7)(-5) + 6

-6 + 35 + 6

-6 + 41

35

[To think of it another way, 6 and -6 cancel out to become zero, so our answer is 35].

I hope this answered your question!

- sincerelynini

The word problem 'A number x multiplied by 25 is 320' translates into the equation 25x = 320. Solving for 'x' by dividing both sides by 25 yields x = 12.8.

The question asks to write the word sentence as an equation, and then solve it. The word problem 'A number x multiplied by 25 is 320' can be written as the equation 25x = 320. To solve for 'x', we need to isolate 'x' by dividing both sides of the equation by 25. Thus, x equals 320 divided by 25, giving us x = 12.8 as the solution.

https://brainly.com/question/14410653

#SPJ12

Final answer:

The word sentence 'A number x multiplied by 25 is 320' can be translated into the equation 25x = 320. By dividing both sides by 25, we solve for x, which results in x = 12.8.

Explanation:

To translate the word sentence 'A number x multiplied by 25 is 320' into an equation, we use the symbol '*' for multiplication and '=' to denote equality, resulting in the equation 25x = 320. To solve for x, we divide both sides of the equation by 25:

x = 320 / 25

This gives us:

x = 12.8

Therefore, the number x is 12.8.

Answer:

(x - 3)² = - (y - 14)

The maxima of the function is (3,14).

Step-by-step explanation:

The formula of a quadratic function is given by y = - x² + 6x + 5

We have to write this in the vertex form.

Now, y = - x² + 6x + 5

⇒ y = - (x² - 6x + 9) + 9 + 5

⇒ y - 14 = - (x - 3)²

⇒ (x - 3)² = - (y - 14)  

This is the equation of the parabola in vertex form.

This parabola has the vertex at (3,14) and the axis of the parabola is parallel to the negative y-axis.

Therefore, the maxima of the function is at (3,14). (Answer)

Answer:

the gradient of the line is 4

Answer:$58.50

Step-by-step explanation:

The price was 130

With 40% off

Which reads out in this format

40/100*130= 52 dollars off the real price

130-52=78 dollars

Then later reduce by 25 percent

Now the price is 78 dollars

25/100*78= 19.5 dollar off the new price

So the real price will be

78-19.5=$58.5

Answer:

6:5

Step-by-step explanation:

because 30 and 36 can both be divided by 6;

36/6= 6

30/6= 5

so the ratio is 6 to 5

The ratio of 36 nickels to 30 dimes, reduced to its lowest terms, is 6:5.

To write the comparison of 36 nickels to 30 dimes as a ratio reduced to its lowest terms, we need to find the greatest common divisor (GCD) of 36 and 30 and then divide both numbers by the GCD.

Step 1: Find the GCD of 36 and 30:

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30.

The common factors are 1, 2, 3, and 6. The greatest common divisor (GCD) is 6.

Step 2: Divide both numbers by the GCD (which is 6):

36 ÷ 6 = 6

30 ÷ 6 = 5

The reduced ratio is 6:5.

So, the ratio of 36 nickels to 30 dimes, reduced to its lowest terms, is 6:5.

To know more about ratio:

https://brainly.com/question/14494733

#SPJ2

Answer:

1/12

Step-by-step explanation:

1/2 ÷ 6

is the same as;

1/2 × 1/6 = 1/12

Answer:

the answer is: if you multiply a by 2 and then add 6, the result will be less than b.

Step-by-step explanation:

Hope this helps!

Please mark as brainliest.

The same inequality is when you multiply a by 2 and then add 6, the result will be less than b so option (C) is correct.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given inequality,

y – 6 > 2x

Put x = a and y = b

b - 6 > 2a

b > 2a + 6

The above inequality represents when you multiply a by 2 and then add 6, the result will be less than b.

Hence "The same inequality is when you multiply a by 2 and then add 6, the result will be less than b".

For more about inequality,

brainly.com/question/20383699

#SPJ2

Answer:

negative 6.3 x + 1.7

The difference of  (-3.4x + 4.7) And  (3 + 2.9 x) is,  -6.3 x + 1.7. So Option D is correct

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

Two expressions,

(-3.4x + 4.7)

And  (3 + 2.9 x)

The difference = ?

The difference of the two expressions, (-3.4 x + 4.7) and (3 + 2.9 x), is calculated as follows:

= (-3.4 x + 4.7) - (3 + 2.9 x)

= -3.4 x + 4.7 - 3 - 2.9 x

= -3.4 x - 2.9 x + 4.7 - 3

= -6.3 x + 1.7

So, the difference of the two expressions is -6.3 x + 1.7.

To know more about Expressions check:

brainly.com/question/16804733

#SPJ6

Answer:

x = 2

Step-by-step explanation:

Given

4x - 10 = - 5x + 8 ( add 5x to both sides )

9x - 10 = 8 ( add 10 to both sides )

9x = 18 ( divide both sides by 9 )

x = 2

Answer:

5

Here is the working:

Answer:

5

Step-by-step explanation:

Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

[tex]3(2) +4 = ?[/tex]

3 times 2 is 6. Once you add that to 4 you get 10.

Hope this helps!

-Coconut;)

Answer:

If a square has all four sides

Each side equals 6x

Then to find the perimeter of a square you take one of the sides and multiply is by 4

6x*4

24x

Hope this helps ;)

Answer:12.57

Step-by-step explanation:

To find the area of a circle with the radius, square the radius, or multiply it by itself. Then, multiply the squared radius by pi, or 3.14, to get the area. To find the area with the diameter, simply divide the diameter by 2, plug it into the radius formula, and solve as before.

The area of the button is approximately 12.56 square centimeters.

To find the area of a circle, we use the formula A = πr², where A is the area and r is the radius. In this case, the diameter of the button is 4 centimeters, so the radius is half of the diameter, which is 2 centimeters. Plugging this value into the formula, we get A = π(2 cm)². To calculate the area, we need to use an approximation of π, which is 3.14. Therefore, the area of the button is approximately 12.56 square centimeters.