Solve the following inequality for hh. Write your answer in simplest form.
h-8>4h+5

Answers:

#1: infinite solutions;  #2: no solutions

Step-by-step explanations:

Steps for #1

3(2x+7)=13+4(x+2)+2x

6x+21=13+4x+8+2x

6x+21=21+6x

6x=6x

x=x

After completing the steps to find the value of x using Order of Operations, we see that in the end, the answer we have is x=x. We can easily conclude that x is equal to any number because the final answer in this exercise is always whatever the value of x is. For example, if x=4, our final answer would be 4.

Steps for #2

5(6x+8)=9x-10+21x

30x+40=30x-10

40=-10

Here, we see that once we've completed the steps using the Order of Operations, we come out with the answer 40=-10, which is not true on any terms. Therefore we can simply conclude that the answer for #2 is "no solutions."

If you have any trouble figuring out how I got my answers, please refer back to the steps I used to get the answers.

Thank you!

Answer: 49.5 and -0.5

Step-by-step explanation:

a  + b =49

a -  b = 0.5

a= 49.5

b= -0.5

The two numbers are approximately 24.25 and 24.75.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

Let's call the two numbers x and y.

According to the problem, we have two equations:

x + y = 49 (since their sum is 49)

x - y = 1/2 (since their difference is 1/2)

We can solve this system of equations using the method of substitution.

First, we can rearrange the second equation to solve for one of the variables in terms of the other:

x - y = 1/2

x = y + 1/2

Now we can substitute this expression for x into the first equation:

(y + 1/2) + y = 49

2y + 1/2 = 49

2y = 48.5

y = 24.25

Now we can use this value of y to solve for x:

x = y + 1/2 = 24.25 + 1/2 = 24.75

Therefore, the two numbers are approximately 24.25 and 24.75.

Learn more about algebra here:

https://brainly.com/question/24875240

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Answer:

3000 and 4000

95% of all newborn babies in the United States weigh between *2500g and 4500g*

99.7% of all newborn babies in the United States weigh between *2,000g and 5,000g*

Step-by-step explanation:

Using the Empirical Rule, it is found that 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.

It states that, for a normally distributed random variable:

In this problem, the mean is of 3,500 g with a standard deviation of 500 g, hence:

3500 - 500 = 3,000 g.

3500 + 500 = 4,000 g.

Hence, 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

Answer:

Domain- {IR} all real numbers or {infinity,infinity}

Range-{0,infinity}

Step-by-step explanation:

plug into calculator

Answer:

x = -223/11 = -20.273

Step-by-step explanation:

Step  1  : Simplify:  11/5

Step 2: Simplify 33/5

Step  3  :

Adding fractions which have a common denominator

Step  4: Simplify: 1/2

Step  5  :  see below

Step  6  :  see below

Pulling out like terms/factors

Step  7 : Simplify: 51/2

Step 8:  Simplify: 22/5

Step 10: Simplify: 43/10

Step  9  :

Calculating the Least Common Multiple

Step  11  :

Adding fractions which have a common denominator

Done.

Hope this helps.

Answer:

[tex](-5,-8).[/tex]

Step-by-step explanation:

Given the equation

[tex]-3x+7y=5x+2y[/tex]

We need to find the missing value of the coordinate; (-5, __)

First, we collect like terms

[tex]-3x-5x=2y-7y\\\\-8x=-5y[/tex]

When x=-5

[tex]-8*-5=-5y\\\\40=-5y[/tex]

Dividing both sides by -5

[tex]y=-8[/tex]

The missing value of the coordinate (-5,y) is -8.

Thus, the complete solution to the equation is [tex](-5,-8).[/tex]

Answer:

1. 1 3/8- 1 /1/8

2. 11/8- 9/8

3. 1 3/8- 9/8

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

The probability that the number chosen is a multiple of 9 is 1/9, so the probability that it isn't a multiple of 9 is 1 - (1/9) = 8/9

40π

You dont need paper hw since we're in quarantine

Answer:40

Step-by-step explanation:

Answer:

x=3/4

Step-by-step explanation:

Look at the picture so you understand how To solve it.

If the diameter of a circle is 6 units, it's radius would be half that, that is 3 units.

Circumference = [tex]2\pi r[/tex] = 2 x 3.14 x 3 = 18.84 units

Answer:

5

Step-by-step explanation:

Using the formula of a trapezoid, we can solve this!

Formula is A=1/2(b1+b2)h.

A=1/2(2+8)1

A=1/2(10)1

A=1/2(10)

The area would be 5 cubic in2.

Please tell me if im wrong! im just a student .m.

Answer:

5 units²

Step-by-step explanation:

a for a trapezoid = [tex]\frac{a+b}{2} *h[/tex]

[tex]\frac{8+2}{2} *1[/tex] = [tex]\frac{10}{2} * 1[/tex] = 5*1 = 5

The area is 5 units²

Answer:

f(1) = 3

f(n) = f(n-1) - 1

Otherwise,

f(n) = f(1) - (n-1)

=> f(6) = 3 - 5 = -2

Hope this helps!

:)

Answer:

176

Step-by-step explanation:

Answer:

the right answer is : A

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

im smort

Answer:

D not possible.........

Answer:

the graph has opposite x intercepts of b and -b. the graph has y intercepts at –b². the graph of the function symmetrical about the y-axis.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-2, 2)   (2, -3)

(-3 - 2)/(2 + 2)

-5/4 the slope

y - 2 = -5/4(x + 2)

y - 2 = -5/4x - 5/2

y- 4/2 = -5/4x - 5/2

y = -5/4x - 1/2

Answer:

use this example, its all i could find

Step-by-step explanation:

Answer:

V=\frac{lwh}{3}

l=length

w=width

h=height

volume of pyramid formula

Step-by-step explanation:

Answer:

y=-1/3x

Step-by-step explanation:

Let's convert this to slope intercept form:

12x-4y=24

-4y=-12x+24

y=3x-6

Therefore, the slope of this line is 3, so the perpendicular line to this would have slope -1/3. Therefore, the slope of the line would be y=-1/3x. Hope this helps!

Answer:

a . 9/25

b. 13/25

c. 3/5

Step-by-step explanation:

Firstly, we add the number of balls to get the total number of balls = 3 + 2 = 5 balls

P(R) = number of red/total number of balls = 3/5

P(B) = number of blue/total number of balls = 2/5

Since the experiment is with replacement, whatever ball picked would be returned

a. Probability of both balls being red = P(R) * P(R) = 3/5 * 3/5 = 9/25

b. Probability of both balls being same color;

That is : probability of both balls being red or both being blue

Mathematically that would be;

P(R) * P(R) or P(B) * P(B)

whenever we have or in probability, what we do is to add ;

= (3/5 * 3/5) + (2/5 * 2/5) = 9/25 + 4/25 = 13/25

C. at least one of the balls is red

what this means is that both are red or one of the two is red.

Mathematically;

P(R) * P(R) or P(B) * P(R)

= (3/5 * 3/5) + (3/5 * 2/5)

= 9/25 + 6/25 = 15/25 = 3/5

Answer:

1. 18 girls

2. 5 girls will be added to maintain the same ratio of boys and girls

Step-by-step explanation:

1. Boys : Girls = 14 : 12

14 + 12 = 26, 39/26 = 1.5

Boys: 14 x 1.5 = 21

Girls: 12 x 1.5 = 18

21 + 18 = 39 athletes, there are 18 girls on the 39 athletes.

2. Boys : Girls = 14 : 12

14 : 12

7   : ?

14 - 7 = 12 - ?

7 = 12 - ?

12 - 7

= 5

If there is any wrong, Please correct me or reply to me!

Answer:

The area of triangle DEF is 588 cm²

Step-by-step explanation:

Given;

triangle  DEF with base, b = 42 centimeters

triangle  DEF with height, h = 28 centimeters

triangle  DEF other side length, L = 35 centimeters

Area of a triangle is half of the product of the triangle base and height.

Represented in formula as;

A = ¹/₂bh

where;

b is the base of the triangle

h is the height of the triangle

A = ¹/₂ x 42 x 28

A = 588 cm²

Therefore the area of triangle DEF is 588 cm²

Answer:

588

Step-by-step explanation:

Answer:

B: x = -y+6

Step-by-step explanation:

Since y = x+6:

Bring x and y to their opposite sides:

x = -y+6

I hope this helps and plz mark me brainliest!!

Answer:  

_______________________________________

→   x  = - 1 ±  i√7     ;

                  4    

_______________________________________

Or:  Write as:

_______________________________________

 →   x  = -1  +  i√7     ;   -1  −   i√7     ;

                   4                       4  

_______________________________________

Step-by-step explanation:

_______________________________________

Given:

 -2x² − x − 1 = 0 ;

Solve for " x " .

________________

First, let us multiply BOTH sides of the equation by "-1" ;

     to get rid of that "negative sign" in the coefficient:  " -2" ;

    →  as follows:

________________

  -1 * {-2x² − x − 1 } = 0 *{-1} ;

_________________

Rewrite the value: "x" on the "left-hand side" of the question; as:  "1x" ;

since "any value" ; multipled by "1" ; results in that same individual value:

_________________

    -1 * {-2x² − 1x − 1 } = 0 *{-1} ;  

________________

Note the "distributive property" of multiplication:

________________

 a(b + c) = ab + ac ;

________________

Likewise, from the "left-hand side" of the equation:

   -1 * {-2x² − 1x − 1 } =  {-1 * -2x²}  +  {-1 * -1x}  +  {-1* -1 } ;    

                                =      2x²       +  1x           + 1 ;

_______________________________________

Rewrite the "left-hand side" of the equation:

   2x² + 1x + 1 ;

Now, the "right-hand side of the equation:

            " { 0 * -1 } = 0 " .

Now, rewrite the entire equation:

    2x² + 1x + 1 = 0 ;

________________

Note:  This equation is written in "quadratic format" ;

that is:   " ax² + bx + c " ;   [a ≠ 0] ;

         →  in which:

                   a = 2 ;  b = 1 ; c = 1 ;

________________

 →  which means we can solve for the value(s) for "x" ; by using the

"quadratic equation formula" ;

   →  that is:

________________

   →    x  = -b ± √(b² − 4ac)       ;

                           2a                      

________________

 So;  to solve for the values for "x" ;  we substitute our known values for:

    "a" ; "b" ; and "c" ; and solve:

________________

   →   x  =   -1  ±  √(1² − 4*2 *1)       ;

                              4                    

_________________________

   →   x   =    -1  ±  √(1 − 8)       ;

                            4                              

_________________________

   →   x  =   -1  ±  √(-7)     ;

                         4        

_________________________

Note: "√(-7)"  ;  is the square root of a negative number.

Note that we use the lower case  letter, " i "  ;  

        as a symbol to represent the imaginary number:  " √(-1) " .

This is an "imaginary number" ;  since one cannot take the "square root" of a "number lower than zero."  

So, we write:  √-7 ;   as:   " i * 7 " ;  or, just:  " i √7 " ;  since:

  "i  = √-1" ;  and since:  " √-7"  would "factor out" to:  "√7  * √-1 " .

_________________________

Note:  In the mainstream U.S.A. , the concept of " i " as the  "imaginary number" — " √-1 "  ;  is usually introduced in the second year college-prep algebra class (after "first year high school algebra" in 9th grade; and after "geometry" in 10th grade).

_________________________

So;  we have:

→   x  = -1  ± √(-7)     ;

                   4        

___________

We can rewrite this as:

____________

→   x  = -1  ±  i√7    ;

                   4    

_____________

  We can leave our answer written like that.

We have two (2) solutions—so we can also write out both solutions for the value of x:

_____________

 →   x  = -1  +  i√7    ;   -1  +  i√7     ;

                   4                        4

_____________________________________________

Hope this explanation is helpful to you!

  Best of luck— and best wishes!

_____________________________________________

Answer:

Time taken = 6.2 hours

Step-by-step explanation:

Firstly, we will calculate the rate of each person per hour. Then we combine the rates and afterward divide the number of envelope they could address by the combined rate.

Casey can address 20 envelopes at the rate of 20 per hour.

Casey rate = 20 envelope per hr

Anne can address 44 envelope in 2 hours

Anne rate = 22 envelope per hr

Paula can address 68 envelope in 3 hours

Paula rate = 68/3 envelope per hr

Time it will take them to address 400 envelope can be solved below

Add their rate = 20 + 22 + 68/3 = 42 + 68/3 = (126 + 68)/3 = 194/3

Time = 400 ÷ 194/3 = 400 × 3/194 = 1200/194 = 6.1855670103

Time taken = 6.2 hours

Answer:

Eminem.

Rakim.

Nas.

Andre 3000.

Lauryn Hill.

Ghostface Killah.

Kendrick Lamar.

Lil Wayne

Step-by-step explanation:

Answer:

Logic

Step-by-step explanation:

Answer:

C, or 18.0

Step-by-step explanation:

The SAS theorem provides that the area is 17.97, which rounds up to 18.0, giving you C as the answer. The other two are far too high for the given values.