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Sati [7]
3 years ago
13

A suit is on sale for $120. this is 4/5 of the regular price. what is the regular price of the suit

Mathematics
1 answer:
Simora [160]3 years ago
4 0
The 120$ is 4/5 of its regual price (x)

so :

4/5 of x = 120

i.e:  4x/5 = 120

Solve for x:

x = 120*5/4 = 150$

That was its regular price.
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Suppose you have an isosceles triangle with a 90° angleIf the congruent sides each measure 9 feet, what is the length of the sid
Zepler [3.9K]

Answer:

9\sqrt{2} feet

Step-by-step explanation:

Consider the attached figure.

An isosceles triangle is a triangle in which two sides are equal.

AB=BC=9 feet

According to Pythagoras theorem,

square of hypotenuse is equal to sum of squares of other two sides.

AC^2=AB^2+BC^2\\AC^2=9^2+9^2\\AC^2=81+81\\AC^2=162\\AC=\sqrt{162}

AC=9\sqrt{2} feet

6 0
3 years ago
Please help asap I genuinely cannot figure this out
Gemiola [76]

Answer:

C

Step-by-step explanation:

We can use the factored form of the quadratic equation, given by:

y=a(x-p)(x-q)

Where <em>a</em> is the leading coefficient and <em>p</em> and <em>q</em> are the zeros.

We have zeros <em>x</em> = -2 and <em>x</em> = 3. So, let <em>p</em> = -2 and <em>q</em> = 3:

y=a(x+2)(x-3)

Next, we are given that our <em>y-</em>intercept is (0, -30).

In other words, when <em>x</em> = 0, <em>y</em> = -30. So:

-30=a(0+2)(0-3)

Solve for <em>a:</em>

<em />-30=-6a\Rightarrow a=5<em />

<em />

Hence, our factored equation is:

\displaystyle y=5(x+2)(x-3)

For the standard form, expand:

y=5(x^2-3x+2x-6)

Simplify:

y=5(x^2-x-6)

Distribute:

y=5x^2-5x-30

Our answer is C.

4 0
3 years ago
Read 2 more answers
Four - fifths of z added to six equals eight
ella [17]
The four-fifths of  a number, in this case, z is four times the number divided by z. That is 4z/5. When we add six to the product and equate the expression to 8, we get,
                                  4z/5 = 8
The value of z from the equation is 10.
4 0
3 years ago
James has 13.7 ounces of trail mix. He shares the trail mix equally with his sister.
tiny-mole [99]

Answer:

6.85 ounces

Step-by-step explanation:

13.7/2people=6.85

8 0
3 years ago
The Powerball lottery is decided every Wednesday and Saturday night by drawing five white balls out of a drum with 69 balls and
Nadusha1986 [10]

Answer:

The question continues ; I take it is defined as a set of five white and one red number how many possible different Powerball tickets can be purchased how many possible different winning Powerball tickets are there

Step-by-step explanation:

he concept of combinatorics ( combination and permutation) is applied her

nPr = n!/(n-r)!

nCr = n!/(n-r)!r!

Hence number of possible different powerball tickets = number of ways of selection

= selecting 5 white ball from a total of 69 and selecting a red ball from a total of 26

= 69C5 x 26C1

using the formula above for combination

= 69!/(69-5)!5! x 26!/(26-1)!1!

= 292, 201, 338 ways

7 0
3 years ago
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