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2 years ago

The mixed number 6 7/8 is equal to which improper fraction?

Mathematics

1 answer:

Monica [59]2 years ago

6 0

Answer:

A.) 55/8

Step-by-step explanation:

To make 6 7/8 an improper fraction, multiply the whole number by the denominator and add the result to the numerator.

That’s

6 x 8 = 48

48 + 7 = 55

Also, the denominator of the mixed number still remains the denominator of the improper fraction.

That’s

55/8

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The product of 2 numbers increased by 10

expeople1 [14]

Answer:

(x·x) + 10 would be the expression.

x·x represent the 2 numbers being multiplied. Increased by 10, would be the + 10.

3 0

2 years ago

HELP ME PLEASE<br> Solve for x: -6 – 5x = 29

Lynna [10]

Answer:

x = -7

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (&Roots)

Multiplications

Divisions

Additions

Subtractions

First, add 6 to both sides of the equation:

-5x - 6 = 29

-5x - 6 (+6) = 29 (+6)

-5x = 29 + 6

-5x = 35

Next, divide -5 from both sides of the equation:
(-5x)/-5 = (35)/-5

x = 35/-5

x = -7

-7 is your answer for x.

4 0

2 years ago

What is the sequence of 5,11,18,26...

antoniya [11.8K]

11-5=6
18-11-7
26-18=8
........... so on and so forth.
I think you get the point.

7 0

3 years ago

What term is 1/1024 in the geometric sequence,-1,1/4,-1/6..?

Trava [24]

Answer:

$\large\boxed{\text{sixth term is equal to}\ \dfrac{1}{1024}}$

Step-by-step explanation:

The explicit formula for a geometric sequence:

$a_n=a_1r^{n-1}$

$a_n$ - n-th term

$a_1$ - first term

$r$ - common ratio

$r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}$

We have

$a_1=-1,\ a_2=\dfrac{1}{4},\ a_3=-\dfrac{1}{6},\ ...$

The common ratio:

$r=\dfrac{\frac{1}{4}}{-1}=-\dfrac{1}{4}\\\\r=\dfrac{-\frac{1}{6}}{\frac{1}{4}}=-\dfrac{1}{6}\cdot\dfrac{4}{1}=-\dfrac{2}{3}\neq-\dfrac{1}{4}$

<h2>It's not a geometric sequence.</h2>

If $a_3=-\dfrac{1}{16}$ then the common ratio is $r=\dfrac{-\frac{1}{16}}{\frac{1}{4}}=-\dfrac{1}{16}\cdot\dfrac{4}{1}=-\dfrac{1}{4}$

Put to the explicit formula:

$a_n=-1\left(-\dfrac{1}{4}\right)^{n-1}$

Put $a_n=\dfrac{1}{1024}$ and solve for <em>n </em>:

$-1\left(-\dfrac{1}{4}\right)^{n-1}=\dfrac{1}{1024}\qquad\text{use}\ a^n:a^m=a^{n-m}\\\\-\left(-\dfrac{1}{4}\right)^n:\left(-\dfrac{1}{4}\right)^1=\dfrac{1}{1024}\\\\-\left(-\dfrac{1}{4}\right)^n\cdot(-4)=\dfrac{1}{1024}\\\\(4)\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{1024}\qquad\text{divide both sides by 4}\ \text{/multiply both sides by}\ \dfrac{1}{4}/\\\\\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{4096}\\\\\dfrac{(-1)^n}{4^n}=\dfrac{1}{4^6}\qquad n\ \text{must be even number. Therefore}\ (-1)^n=1$

$\dfrac{1}{4^n}=\dfrac{1}{4^6}\iff n=6$

5 0

3 years ago

While on vacation, Kayla goes for walks 3 times a day. Her morning walk is 1 1/2 times the distance of her afternoon walk. Her e

natta225 [31]

Answer: 2 miles

Step-by-step explanation:

Afternoon-x; morning- 1.5x; Evening: 1/2x

Make a equation: 1.5x+x+1/2=6

2.5x+1/2x=6

5/2x+1/2x=6

6x=12

x=2

6 0

3 years ago