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3 years ago

9

6] divide -7 by -4/5 whats the answer

2 answers:

AfilCa [17]3 years ago

8 0

Answer:

35/4 or 8 3/4.

Step-by-step explanation:

-7 / -4/5

Invert the second fraction and multiply:

= -7 * -5/4

= 35/4

= 8 3/4.

ASHA 777 [7]3 years ago

5 0

<h3>given:</h3>

$- 7 \div \frac{ - 4}{5}$

<h3>solution:</h3>

$\frac{ - 7}{1} \div \frac{ - 4}{5}$

$=8.75$

( just keep the first fraction as it is, change the divide sign to a multiply and flip the second fraction upside down. )

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I know you want to answer this question.

Alik [6]

Answer:

D. x = 3

Step-by-step explanation:

$\frac{1}{2} ^{x-4}$ - 3 = $4^{x-3}$ - 2

First, convert $4^{x-3}$ to base 2:

$4^{x-3}$ = $(2^{2})^{x-3}$

$\frac{1}{2} ^{x-4}$ - 3 = $(2^{2})^{x-3}$ - 2

Next, convert $\frac{1}{2} ^{x-4}$ to base 2:

$\frac{1}{2} ^{x-4}$ = $(2^{-1})^{x-4}$

$(2^{-1})^{x-4}$ - 3 = $(2^{2})^{x-3}$ - 2

Apply exponent rule: $(a^{b})^{c}$ = $a^{bc}$ :

$(2^{-1})^{x-4}$ = $2^{-1*(x-4)}$

$2^{-1*(x-4)}$ - 3 = $(2^{2})^{x-3}$ - 2

Apply exponent rule: $(a^{b})^{c}$ = $a^{bc}$ :

$(2^{2})^{x-3}$ = $2^{2(x-3)}$

$2^{-1*(x-4)}$ - 3 = $2^{2(x-3)}$ - 2

Apply exponent rule: $a^{b+c}$ = $a^{b}$ $a^{c}$ :

$2^{-1(x-4)}$ = $2^{-1x}$ * $2^{4}$ , $2^{2(x-3)}$ = $2^{2x}$ * $2^{-6}$

$2^{-1 * x}$ * $2^{4}$ - 3 = $2^{2x}$ * $2^{-6}$ - 2

Apply exponent rule: $(a^{b})^{c}$ = $a^{bc}$ :

$2^{-1x}$ = $(2^{x})^{-1}$ , $2^{2x}$ = $(2^{x})^{2}$

$(2^{x})^{-1}$ * $2^{4}$ - 3 = $(2^{x})^{2}$ * $2^{-6}$ - 2

Rewrite the equation with $2^{x} = u$ :

$(u)^{-1}$ * $2^{4}$ - 3 = $(u)^{2}$ * $2^{-6}$ - 2

Solve $u^{-1}$ * $2^{4}$ - 3 = $u^{2}$ * $2^{-6}$ - 2:

$u^{-1}$ * $2^{4}$ - 3 = $u^{2}$ * $2^{-6}$ - 2

Refine:

$\frac{16}{u}$ - 3 = $\frac{1}{64}$ $u^{2}$ - 2

Add 3 to both sides:

$\frac{16}{u}$ - 3 + 3 = $\frac{1}{64}$ $u^{2}$ - 2 + 3

Simplify:

$\frac{16}{u}$ = $\frac{1}{64}$ $u^{2}$ + 1

Multiply by the Least Common Multiplier (64u):

$\frac{16}{u}$ * 64u = $\frac{1}{64}$ $u^{2}$ + 1 * 64u

Simplify:

$\frac{16}{u}$ * 64u = $\frac{1}{64}$ $u^{2}$ + 1 * 64u

Simplify $\frac{16}{u}$ * 64u:

1024

Simplify $\frac{1}{64}$ $u^{2}$ * 64u:

$u^{3}$

Substitute:

1024 = $u^{3}$ + 64u

Solve for u:

u = 8

Substitute back u = $2^{x}$ :

8 = $2^{x}$

Solve for x:

x = 3

4 0

4 years ago

A line / passes through the point (-2, 5) and intersects the axis of the y at the same point as the line y = 3x-4. What is the e

djyliett [7]

Answer:

y= -10

Step-by-step explanation:

y=3x-4

y=3*(-2)-4

y= -6-4

y= -10

7 0

3 years ago

If P(-9, -4), Q(-7, -1), R(-2, 5), S(-6, -1) are the coordinates of the points, what is the slope of line PQ?

matrenka [14]

Given :

P(-9, -4), Q(-7, -1), R(-2, 5), S(-6, -1).

To Find :

The slope of line PQ.

Solution :

We know , slope is given by :

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{-9-(-7)}{-4-(-1)}\\\\m=\dfrac{2}{3}$

Therefore, the slope of line PQ is 2/3.

Hence, this is the required solution.

8 0

3 years ago

Which of the following represent an equation?

Natali [406]

I think the correct answer is D

5 0

3 years ago

Three sides of a fence and an existing wall form a rectangular enclosure. The total length of a fence used for the three sides i

ss7ja [257]

<span>Let the wall's length be y. So the fence parallel is also y.

We form the equation;
2x + y = 240

Now the area A is x*y, which is given as 5500.

We have 2 equations with 2 variables. Solve them and get the answer.

xy = 5500
2x + y = 240

Y = 5500/x

2x + (5500/x) = 240
2x^2 - 240x + 5500 = 0
x^2 - 120x + 2750 = 0
Work out the value(s) of x from above. </span>

5 0

3 years ago

Read 2 more answers