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3 years ago

Emilio wants to solve this equation.

Mathematics

2 answers:

timama [110]3 years ago

8 0

Answer:

175

Step-by-step explanation:

1. multiply the entire equation by 5:

(x/5)x5=x

35x5=175

2. simplify:

x=175

I hope this is what you were looking for! If this helped please mark branliest, thank you!

cupoosta [38]3 years ago

7 0

Answer:

175.

Step-by-step explanation:

I took a test n got it right.

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Manu drives 50 miles each day. How many miles does he drive in five days.

Gnom [1K]

Answer: Manu drives 250 miles in 5 days.

Step-by-step explanation: Manu drives 50 miles each day, and he does this in each 1 out of 5 days. 50 + 50 + 50 + 50 + 50 is 250.

7 0

2 years ago

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Try this hard Math Problem if you dare!!

Dennis_Churaev [7]

Answer:

a. $(x - 3)^2 + 16$

b. $8(x -7)^2$

c. $(a^2 - 1)(7x - 6)$ or $(a+1)(a-1)(7x-6)$

d. $(x^2-4)(x^2+3)$ or $(x-2)(x+2)(x^2+3)$

e. $(a^n+b^n)(a^n-b^n)(a^{2n} +b^{2n})$

Step-by-step explanation:

$a.\ (x + 1)^2 - 8(x - 1) + 16$

Expand

$(x + 1)(x + 1) - 8(x - 1) + 16$

Open brackets

$x^2 + x + x + 1 - 8x + 8 + 16$

$x^2 + 2x + 1 - 8x + 24$

Collect Like Terms

$x^2 + 2x - 8x+ 1 + 24$

$x^2 - 6x+ 25$

Express 25 as 9 + 16

$x^2 - 6x+ 9 + 16$

Factorize:

$x^2 - 3x - 3x + 9 + 16$

$x(x -3)-3(x - 3) + 16$

$(x - 3)(x - 3) + 16$

$(x - 3)^2 + 16$

$b.\ 8(x - 3)^2 - 64(x-3) + 128$

Expand

$8(x - 3)(x - 3) - 64(x-3) + 128$

$8(x^2 - 6x+ 9) - 64(x-3) + 128$

Open Brackets

$8x^2 - 48x+ 72 - 64x+192 + 128$

Collect Like Terms

$8x^2 - 48x - 64x+192 + 128+ 72$

$8x^2 -112x+392$

Factorize

$8(x^2 -14x+49)$

Expand the expression in bracket

$8(x^2 -7x-7x+49)$

Factorize:

$8(x(x -7)-7(x-7))$

$8((x -7)(x-7))$

$8(x -7)^2$

$c.\ 7a^2x - 6a^2 - 7x + 6$

Factorize

$a^2(7x - 6) -1( 7x - 6)$

$(a^2 - 1)(7x - 6)$

The answer can be in this form of further expanded as follows:

$(a^2 - 1^2)(7x - 6)$

Apply difference of two squares

$(a+1)(a-1)(7x-6)$

$d.\ x^4 - x^2 - 12$

Express $x^4$ as $x^2$

$(x^2)^2 - x^2 - 12$

Expand

$(x^2)^2 +3x^2- 4x^2 - 12$

$x^2(x^2+3) -4(x^2+3)$

$(x^2-4)(x^2+3)$

The answer can be in this form of further expanded as follows:

$(x^2-2^2)(x^2+3)$

Apply difference of two squares

$(x-2)(x+2)(x^2+3)$

$e.\ a^{4n} -b^{4n}$

Represent as squares

$(a^{2n})^2 -(b^{2n})^2$

Apply difference of two squares

$(a^{2n} -b^{2n})(a^{2n} +b^{2n})$

Represent as squares

$((a^{n})^2 -(b^{n})^2)(a^{2n} +b^{2n})$

Apply difference of two squares

$(a^n+b^n)(a^n-b^n)(a^{2n} +b^{2n})$

6 0

3 years ago

Find the x and y intercepts for the equation 3x-2.5y = 30.

Dmitry_Shevchenko [17]

Answer: x-int = 10 and y-int = -12

Explanation:

Find x intercept:

To find x intercept set y = 0

3x - 2.5(0) = 30

3x = 30
x = 10

Find y-int:
Set x = 0

3(0) - 2.5y = 30
-2.5y = 30
y = 30/-2.5
y = -12

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3 years ago

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A costume closet contains 8 dresses, 3 shirts, 5 pairs of pants, and 4 hats. What is the probability of randomly selecting a hat

jolli1 [7]

Answer:

I would say that it's a 1/4 chance.

Step-by-step explanation:

So...

I added the numbers

And got that

I'm sorry if it didn't help

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2 years ago

A cylindrical container is used to hold drinking water on the sidelines for a football team. The maximum capacity of the contain

wlad13 [49]

To solve this we are going to use the formula for the volume of a cylinder: $V= \pi r^2h$
where
$V$ is the volume of the cylinder in cube centimeters
$r$ is the radius of the cylinder in centimeters
$h$ is the height of the cylinder in centimeters

We know for the problem that volume of our cylinder is 26,460 mL. Since 1 mL = $1cm^3$ , the volume of our cylinder is $26460cm^3$ . We also know for our problem that the height of our cylinder is 60 cm, so $h=60$ . Lets replace those values in our formula and solve for $r$ :
$V= \pi r^2h$
$26460= \pi r^2(60)$
$26460=60 \pi r^2$
$r^2= \frac{26460}{60 \pi }$
$r^2= \frac{441}{ \pi }$
$r= \sqrt{ \frac{441}{ \pi } }$
$r= \frac{21}{ \sqrt{ \pi } }$
$r=11.8$

We can conclude that the radius of the football team's <span>cylindrical container is 11.8 cm</span>

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3 years ago