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dimaraw [331]
2 years ago
5

After lunch, the family has 1/8 of a pizza left. What percentage of the pizza did they eat

Mathematics
2 answers:
ira [324]2 years ago
5 0

Answer:

7/8 of the pizza was eaten

ivann1987 [24]2 years ago
3 0
The family ate 87.5% of the pizza because 1/8 =12.5%
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Which statement describes the inverse of m(x) = x^2 – 17x?
DochEvi [55]

Given:

The function is

m(x)=x^2-17x

To find:

The inverse of the given function.

Solution:

We have,

m(x)=x^2-17x

Substitute m(x)=y.

y=x^2-17x

Interchange x and y.

x=y^2-17y

Add square of half of coefficient of y , i.e., \left(\dfrac{-17}{2}\right)^2 on both sides,

x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2

x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2        [\because (a-b)^2=a^2-2ab+b^2]

Taking square root on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}

Add \dfrac{17}{2} on both sides.

\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y

Substitute y=m^{-1}(x).

m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}

We know that, negative term inside the root is not real number. So,

x+\left(\dfrac{17}{2}\right)^2\geq 0

x\geq -\left(\dfrac{17}{2}\right)^2

Therefore, the restricted domain is x\geq -\left(\dfrac{17}{2}\right)^2 and the inverse function is m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}.

Hence, option D is correct.

Note: In all the options square of \dfrac{17}{2} is missing in restricted domain.

7 0
3 years ago
40% of x is 35. What is the equation to find x
Dima020 [189]

Answer:

.40 x = 35  equation

x = 87.5

Step-by-step explanation:

Of means multiply and is means equals

40% * x = 35

Change percent to decimal form

.40 x = 35

Divide each side by .40

.40x/.40 = 35/.40

x = 35/.40

x =87.5

4 0
3 years ago
Read 2 more answers
Dante is baking two different recipes, cookies and brownies. The cookie recipe requires 1.5 cups of sugar, and the brownie recip
skad [1K]

Answer:

2.75 cups of sugar

Step-by-step explanation:

Hello!

To find the total amount of sugar Dante needs we need to add the amount need for each recipe

Cookie recipe needs 1.5 cups

Brownie recipe needs 1.25 cups

1.5 + 1.25 = 2.75 cups of sugar

The answer is 2.75 cups of sugar

Hope this helps!

3 0
3 years ago
Read 2 more answers
Find the cost of leveling a badminton court 132m long and 58 m broad at the rate of Rs. 80 per sq. m.
serg [7]

Answer:

Rs. 612,480

Step-by-step explanation:

Hi there,

Here the question asks us to find the cost of leveling a badminton court at the rate of Rs.80 per sq..

So by the word leveling we know that we have to find the area of the court in order to proceed further.

<em>(I am assuming the court to be rectangular in shape).</em>

Area of a rectangle = Length * Breadth

*Length = 132 meters

*Breadth = 58 meters

==> 132*58= 7656 m^2

So now that we got the area of the badminton court lets find the cost of leveling it ==>

Cost of leveling per meter^2 = Rs. 80

Area = 7656 m^2

==> 7656 * 80 = 612,480

So the cost would be <u>Rs. 612,480</u>

<u></u>

<u></u>

<u><em>If you found this answer helpful please mark me as brainliest.</em></u>

8 0
2 years ago
I'm not very good with special right triangles, can someone please help?
Arturiano [62]
All 45 45 90 triangles sides are equal to x, x, and xsqrt2. which is the biggest side. So here x(11) and x(11) are both given.  the answer to the x shown on the triangle is xsqrt2
6 0
3 years ago
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