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3 years ago

13

**Yoxelt buys 4 1/ 2 gallons of soda. One-fourth of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pe

psi did Yoxelt buy? Show all work below.

1 answer:

dusya [7]3 years ago

7 0

Answer:

1 1/8

Step-by-step explanation:

1/4 of 4 1/2 is Pepsi.

1/4 * 4 1/2 = (1/4) * 4 + (1/4) * (1/2) = 1 1/8

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^4√x^2 in radical form

yan [13]

Answer:

43√x2

Step-by-step explanation:

7 0

3 years ago

poizon [28]

Part A
The given line passes through (-2,2) and it is parallel to the line

$4x - 3y - 7 = 0$

We need to determine the slope of this line by writing it in slope -intercept form.

$3y = 4x - 7$

$y = \frac{4}{3} x - \frac{7}{3}$
The slope of this line is
$\frac{4}{3}$

The line parallel to this line also has slope

$m = \frac{4}{3}$

The equation is

$y = \frac{4}{3} x + c$

We substitute (-2,2)

$2 = \frac{4}{3}( - 2) + c$

$c = 2 + \frac{8}{3} = \frac{14}{3}$

The required equation is

$y = \frac{4}{3} x + \frac{14}{3}$

PART B

The given line is

$4x - 3y - 7 = 0$

The slope of this line is
$\frac{4}{3}$

The slope of the line perpendicular to it is

$m = - \frac{3}{4}$

The equation of the line is

$y = - \frac{ 3}{4} x + c$

We substitute the point, (-2,2)

$2= - \frac{ 3}{4} ( - 2) + c$

$2= \frac{ 3}{2} + c$

$c = 2 - \frac{3}{2} = \frac{1}{2}$

The equation of the perpendicular line is

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

6 0

3 years ago

Candy has to paint a fence if she can paint 2/3 of each section in 1/2 and hour and there are 9 sections how long will it take h

aev [14]

Do you mean half an hour because if she can paint 2/3 of each section in half an hour, it would take her 3 hours to paint all 9 sections. I hope this is correct.

5 0

3 years ago

..............................................

sweet-ann [11.9K]

Answer:

h = 40°

Step-by-step explanation:

These 2 angles are congruent due to the Corresponding Angles Theorem.

8 0

3 years ago

Read 2 more answers

How can I solve this proof?? PLZ HELP I DONT UNDERSTAND!! Thanks !!

love history [14]

Hello from MrBillDoesMath!

Answer:

See below

Discussion:

Triangles BAD and BCD are congruent by the SAS postulate.

* Side AD = DC because BD is the perpendicular bisector of AC.

* Angle ADB and CDB are both right angles, and hence equal, because

BD is the perpendicular bisector of AC)

Corresponding parts of congruent triangles are equal so angle BAD = angle BCD, which was to be proven.

Regards,

MrB

8 0

3 years ago