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3 years ago

8

When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?

1 answer:

Stels [109]3 years ago

3 0

Answer:

Multiply each side by −5, add 25 to each side

Step-by-step explanation:

-1/5(x-25) = 7

Multiply each side by -5/1 to clear the fraction

-5/1* -1/5(x-25) = 7*-5/1

x-25 = -35

Then add 25 to each side

x-25+25 = -35+25

x = -10

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Which of the following is another way to express the equation 8 - (-d) = 43?

Alecsey [184]

8 - (-d) = 43
8 + d = 43 <==

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3 years ago

Find the value of x

AfilCa [17]

The answer is X = 12.
This is how to get that answer: the formula for the intersecting secant and tangent outside the circle is a^2 = b(b+c) If you use the numbers in the pic you will get x^2 = 9(9+7) so the number after the equal sign will be 144, so x^2 = 144. To undo the square youre gonna use the square root on both sides, so you have X = 12.

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2 years ago

How long is the base of a parallelogram with an area of 50 square feet and a height of 10 feet

Gnesinka [82]

Answer:

b=5ft

Step-by-step explanation:

Height: 10

Area: 50

Solved for base

Shape: Parallelogram

Formula: Height/10= 5

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Answer is 5

Hope this helps.

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3 years ago

A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for $x$ days.

So, for $x$ days the total expense = $360

<em>Thus the daily expense in dollars can be given by</em> = $\frac{360}{x}$

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

<em>Tour duration now</em> = $(x+4)$ days

On extension, his daily expense is cut by $3

<em>New daily expense in dollars </em>= $(\frac{360}{x}-3)$

Total expense in dollars can now be given as: $(x+4)(\frac{360}{x}-3)$

Simplifying by using distribution (FOIL).

$(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))$

$360-3x+\frac{1440}{x}-12$

$348-3x+\frac{1440}{x}$

We know total expense remains the same which is = $360.

So, we have the equation as:

$348-3x+\frac{1440}{x}=360$

Multiplying each term with $x$ to remove fractions.

$348x-3x^2+1440=360x$

Subtracting $348x$ both sides

$348x-348x-3x^2+1440=360x-348x$

$-3x^2+1440=12x$

Dividing each term with -3.

$\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}$

$x^2-480=-4x$

Adding $4x$ both sides.

$x^2+4x-480=-4x+4x$

$x^2+4x-480=0$

Solving using quadratic formula.

For a quadratic equation: $ax^2+bx+c=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plugging in values from the equation we got.

$x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}$

$x=\frac{-4\pm\sqrt{16+1920}}{2}$

$x=\frac{-4\pm\sqrt{1936}}{2}$

$x=\frac{-4\pm44}{2}$

So, we have

$x=\frac{-4+44}{2}$ and $x=\frac{-4-44}{2}$

$x=\frac{40}{2}$ and $x=\frac{-48}{2}$

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Since number of days cannot be negative, so we take $x=20$ as the solution for the equation.

Thus, the original duration of the tour = 20 days

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3 years ago

A parallelogram is shown below. Which equation best represents the formula for the area of the parallelogram?

adell [148]

The area of a parallelogram is length x height.

The answer would be C. A = 12 • 8

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3 years ago