1 1/6 ÷ 2 1/3 Multiplying and dividing mixed numbers​

Answer:

She can never travel a distance of 1 foot for the given condition.

Step-by-step explanation:

In every jump, she goes 1/2 as far as her prior jump.

In the 1st jump, she covered a distance, d_1= \frac 1 2 foot.

The distance covered in the 2nd jump

[tex]d_2= \frac 12 \times d_1 = = \frac 12 \times \frac 12= \frac 1 4[/tex] (given)

So, the distanve covered in the 3rd jump

[tex]=\frac 12 \times d_2= \left(\frac 1 2\right )^2\times \frac 1 2= \left(\frac 1 2\right)^{3-1}\times \frac 1 2.[/tex]

Similarly, the distance covered in the [tex]r^{th}[/tex] jump

[tex]=\left(\frac 12 \right)^{r-1}\times \frac 1 2.[/tex]

Assuming she requires [tex]n[/tex] jumps to travel 1 foot of distance.

So, the sum of all the distances covered in n jumps = 1 foot

[tex]\Rightarrow \frac 1 2 + \frac 1 4 + \cdots + \left(\frac 12 \right)^{r-1}\times \frac 1 2+\cdots+ \left(\frac 12 \right)^{n-1}\times \frac 1 2=1[/tex]

[tex]\Rightarrow \frac 1 2 + \left(\frac 12 \right)^2 + \cdots + \left(\frac 12 \right)^{r}+\cdots+ \left(\frac 12 \right)^{n}=1[/tex]

This a geometric progression, G.P., of [tex]n[/tex] terms having common ration, r= 1/2 and the first term [tex]a_1= 1/2[/tex].

As sum of all the n terms of  G.P [tex]=\frac {a_1(r^n-1)}{r-1}[/tex],

[tex]\Rightarrow \frac {1/2((1/2)^n-1)}{1/2-1}=1[/tex]

[tex]\Rightarrow - \left(\left(\frac 1 2\right)^n-1\right)=1[/tex]

[tex]\Rightarrow \left(\frac 1 2\right)^n-1=-1[/tex]

[tex]\Rightarrow \left(\frac 1 2\right)^n=-1+1=0[/tex]

[tex]\Rightarrow \frac {1}{2^n}=0[/tex]

This is only possible, mathematically, when [tex]n\rightarrow \infty[/tex], But in real life situation reaching infinity is not possible.

Hence, she can never travel a distance of 1 foot for the given condition.

Answer:

10/24 or 5/12

Step-by-step explanation:

If you add both boys and girls you will get 24 which is the total students and the number of boys us 10 so it would be 10/24 or simplified would be 5/12.

:) Hope this helps

Answer:

HELPPPPPP

Step-by-step explanation:

HELPPPPPPP

Answer:

11 and 12

Step-by-step explanation:

x(x+1)=132

x^2+x=132

x^2+x-132=0

(x-11)(x+12)=0

x = 11 or x = -12

when x=11 ,

x+1=12

11*12=132

Answer:

608.33

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Answer:

32.4825

hope this helped :)

Answer:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers

Answer:

C. it cannot be a whole number

Step-by-step explanation:

you add the fractions together

1 5/12+1 3/4+2 1/3 is 4 3/1 which simplifies to 7

multiply 7 by 10.50 and get 73.5

ANSWER= $73.50

This is ezz homework pay attention in class

I think this is correct

Answer:

estimated number of pages it can print will 80 in 1 min.

Step-by-step explanation:

If 12 pages/9 Seconds then by multiplying by 60 secs as there are 60 secs in 1 min.

we get

12/9 then multiply by 60 you will get 80 pages in 1 minute.

Number of pages a printer can print in 9 seconds = 12 pages

Number of pages than can be printed in 1 second =

= 12/9

= 1.3 pages

Number of pages that can be printed in 1 second = 0.75 page

Number of pages that can be printed in 1 minute =

= 1 minute = 60 seconds

Number of pages that can be printed in 60 seconds =

= 1.3 × 60

= 78 pages

Rounding off 78 , we get 80 .

Therefore , 80 pages can be printed in 1 minute .

Answer:

Factor form: (2x-5)(2x+5)

If you olny simplify: 8x-25

Step-by-step explanation:

Answer:

2 times

Step-by-step explanation:

you do the equation 180 + 180 and get 360 or you can multiply 180 x 2 and get 360. Hope this helps you!

1. c

2. c

3. a

4. a

5. d

Step-by-step explanation:

You need to do the distributive property to answer this question.

Everything in the outside of the parenthesis needs to be multiplied by each number inside the parenthesis.

Hope this helps you!

Answer:

(3 ^2  x 2x^ 4 y^2  )

Step-by-step explanation:

9514 1404 393

Answer:

  a)  9

  b)  -5

  c)  5

Step-by-step explanation:

Put the value of the argument where x is and do the arithmetic.

a)  g(4) = 4+5 = 9

b)  g(-10) = -10 +5 = -5

c)  g(0) = 0 +5 = 5

Answer:

Communitive

Step-by-step explanation:

It is just saying that they are congruent and they just restated in different ways. It is like 4+3=7 and 3+4=7

Hope this helps

Answer:

The polynomials can be identified by noting which expressions contain only the operations of addition, subtraction, multiplication, and non-negative integer exponents. The non-polynomial expressions will be the expressions which contain other operations. Explain why the non-polynomial expressions are not polynomials.

Answer: When sales are greater than 2000 then  José's monthly earnings sre more than those of Maris.

Step-by-step explanation:

Let  x= Total sales

For José, monthly salary = $3,500

Commission percentage =  8% =0.08

Monthly earnings= Monthly salary + (Commission percentage) x (Total sales)

Monthly earnings= 3500 +0.08 x

For Maris, monthly salary = $3,900

Commission percentage =  6%

Monthly earnings= 3900 +0.06 x

When José's monthly earnings > Maris's monthly earnings

then, 3500 +0.08 x > 3900 +0.06 x

Subtract 3500 from both sides, we get

0.08 x > 400+0.06x

Subtract 0.06x from both sides, we get

0.02x>400

Divide both sides b 0.02

x> 20000

When sales are greater than 2000 then  José's monthly earnings sre more than those of Maris.

Answer:

2

Step-by-step explanation:

15 + 5 × 3

________

  3² + 6

For this question, we need to use PEMDAS to solve the question correctly. PEMDAS stands for "parentheses, exponents, multiplication, division, addition, subtraction". In this question, for the numerator, we see 5 x 3 so that's multiplication. So we multiply those together to get 15. In the denominator, there's an exponent which is 3². We have to find the square of 3 so that we can simplify the denominator as well. That simplifies to 9:

(15+15)/(9+6)

Next, we just have to add the 15+15 in the numerator together and 9+6 in the denominator together:

30/15

Finally, we divide 30/15 to get 2 as our answer

2

Answer:

its the first option, y = -3/2x+6

Step-by-step explanation:

Answer:

8(x^4 - 8)

Step-by-step explanation:

Factor out an 8, since both 8 and 64 are divisible by 8:

f(x) = 8x^4 - 64

f(x) = 8(x^4 - 8)

So, the equation factored completely is 8(x^4 - 8)

Answer:

[tex]\huge\boxed{f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+2\sqrt2)}[/tex]

[tex]\huge\boxed{f(x)=8(x-2)(x^2+2x+4)}[/tex]

Step-by-step explanation:

[tex]f(x)=8x^4-64\qquad|\text{distribute}\\\\f(x)=8(x^4-8)=8\bigg[(x^2)^2-\left(\sqrt8\right)^2\bigg]\qquad|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x^2-\sqrt8)(x^2+\sqrt8)=8\bigg[x^2-\left(\sqrt[4]8\right)^2\bigg](x^2+\sqrt8)\\\\|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+\sqrt8)\\\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]

taking into account the correction from the comment

[tex]f(x)=8x^3-64=8(x^3-8)=8(x^3-2^3)\\\\\text{use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\f(x)=8(x-2)(x^2+(x)(2)+2^2)=8(x-2)(x^2+2x+4)[/tex]

Answer:

10

Step-by-step explanation:

because 6+10=16. I feel so bad for all of the flowers.

Answer:

Tissue

Step-by-step explanation:

Forgive me if I'm wrong but I'm 90 percent sure I'm not.

Happy almost Halloween!!

Answer:

8x + 12y + 15z

Step-by-step explanation:

Given the sales rate of three items: 8$ for t-shirts, 12$ for sweaters, and 15$ for jeans. It also states that these rates are represented by the corresponding variables being x for t-shirts, y for sweaters, and z for jeans.

To complete the expression, just combine the rate with the corresponding variables. i.e 8$ for t-shirts, and x for shirts = 8x, 12$ for sweaters and y for sweaters = 12y, 15$ for jeans, and z for jeans = 15z. Finally, sum them together.

8x + 12y + 15z

Answer:

-16

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

16+(-32)= -16

Answer: Well I believe the answer is Y= x - 55

Step-by-step explanation:Hope that works :)

Answer:

[tex]v=\frac{145}{8}[/tex]

Step-by-step explanation:

[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]

[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]

[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]

[tex]v=\frac{145}{8}[/tex]

Answer:

[tex](j-5)(j+3)[/tex]

Step-by-step explanation:

[tex]j^2-2j-15=(j-5)(j+3)[/tex]

The age of John’s brother is j-5 and the age of John’s sister is j+3.

Given that, John is j years old. The product of his younger brother's and older sister's age is j²-2j-15.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The solution for j²-2j-15 is as follows

j²-2j-15

⇒ j²-5j+3j-15

⇒ j(j-5)+3(j-5)

⇒ (j-5)(j+3)

Therefore, the age of John’s brother is j-5 and the age of John’s sister is j+3.

To learn more about an expression visit;

https://brainly.com/question/28170201.

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