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3 years ago

Yulia has $156. she spent 3/4 of it on a bag and 1/2 on a scarf. how much money sid she have left ?

Mathematics

2 answers:

dedylja [7]3 years ago

8 0

Answer:

$19.5

Step-by-step explanation:

156 x 3/4 = 117

156 x 1/2 = 78

117+78=195

Not possible!!!!

But if it means 3/4 then 1/2 of remaining then its...

156 x 3/4 = 117

156-117=39

39 x 1/2= $19.5

Oduvanchick [21]3 years ago

4 0

Answer:

she has $19.5

Step-by-step explanation:

156/4=39*3=117 spent on bag

156-117=39 left for scarf so divide 39/2=19.5

19.5 was used for the scarf and only 19.5 was left over

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A community theater uses the function p (d) = (-4d+40) (d−40) to model the profit (in dollars) expected in a weekend when the ti

fomenos

The theater make the maximum profit at d = $25. Then the maximum profit of the theatre is $ 900.

<h3>What is differentiation?</h3>

The rate of change of a function with respect to the variable is called differentiation. It may be increasing or decreasing.

A community theater uses the function P(d) = (− 4d + 40) (d − 40) to model the profit (in dollars) expected on a weekend when the tickets to a comedy show are priced at d dollars each.

Then the maximum profit of the theatre will be

The function is P(d) = (− 4d + 40) (d − 40)

Differentiate the function with respect to d and put it equal to zero for maximum or minimum profit.

$\begin{aligned} \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= 0\\\\\dfrac{\mathrm{d} }{\mathrm{d} d}(- 4d + 40) (d - 40) &= 0\\\\(-4d+40) -4 (d-40) &= 0\\\\-8d + 200 &= 0\\\\d &= 25 \end{aligned}$

Then the checking for maximum or minimum, again differentiate, we have

$\begin{aligned} \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= \dfrac{\mathrm{d} }{\mathrm{d} d}(- 4d + 40) (d - 40) \\\\\dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= \dfrac{\mathrm{d} }{\mathrm{d} d}(-8d + 200) \\\\\dfrac{\mathrm{d} }{\mathrm{d} d}P(d) &= -8\\\\ \dfrac{\mathrm{d} }{\mathrm{d} d}P(d) & < 0\end{aligned}$

The value is less than zero hence maximum value will occur at d = 25.

Then maximum profit will be

P(d) = (− 4×25 + 40) (25 − 40)

P(d) = (− 100 + 40) (−15)

P(d) = (− 60) (− 15)

P(d) = $ 900

More about the differentiation link is given below.

brainly.com/question/24062595

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7 0

2 years ago

There is a L-shaped sidewalk that is 158 meters long. By cutting across the lawn, the

NikAS [45]

Answer:

Each side of the L-shaped sidewalk is 126 m and 32m respectively.

Step-by-step explanation:

Given:

Total length of the sidewalk = 158 meters

Cutting across the lawn the distance = 130 meters

The L-shaped lawn will be treated as a right angled triangle.

So the 130 m distance is the hypotenuse here.

Let one side of the L-shaped lawn be 'x' meter so the another side will be (158-x) meters.

Applying Pythagoras formula.

$(Hypotenuse)^2=(height)^2+(base)^2$

So,

⇒ $(130)^2=x^2 +(158-x)^2$

⇒ $(130)^2=x^2+(158-x)(158-x)$

⇒ $16900=x^2+24964-158x-158x+x^2$

⇒ $16900 =2x^2-316x+24964$

⇒ $2x^2+316x+24964-16900=0$

⇒ $2x^2-316x+8064=0$

⇒ $x^2-158x+4032=0$

Applying quadratic formula;

Quadratic formula : $\frac{\pm b \sqrt{b^2-4ac} }{2a}$ where a=1 and b=-158 and c=4032

So the value of x= 126 and 32.

The length of each side of the sidewalk is 'x'= 126 m and '(158-x)'='(158-126)'=32 m

7 0

4 years ago

The sum of three consecutive even integers is 36. Let x represent the first integer, x + 2 represent the second integer, and x +

nikitadnepr [17]

To start this, try to place it all together.

(x)+(x+2)+(x+4)=36

Then you start to combine so that it looks like this:

3x+6=36

I believe that is one of the choices. Do you need more explanation?

3 0

4 years ago

Read 2 more answers

Please help me! :) !!!!!!!!!!!!!!!!!

Novosadov [1.4K]

Answer:

x=17

Step-by-step explanation:

Since the triangles are congruent, the angles are equal

I≅ P

3x+4 = 72-x

Add x to each side

3x+4+x = 72-x+x

4x+4 = 72

Subtract 4 from each side

4x+4-4 = 72-4

4x= 68

Divide by 4

4x/4 = 68/4

x = 17

7 0

3 years ago

A triangular pane of glass has a height of 30 inches and an area of 270 square inches. what is the length of the base pane

Tems11 [23]

The equation for the area of a triangle is A= b*h /2. So, plug in your known variables, and you get 270in^2= b*30 /2. First you multiply by 2 to cancel out the division for 2, which gets you 540= b* 30. To get "b" by itself, divide both sides by 30, giving you <u>18=b</u>.

To check this, plug in your new known variable, as 270= 18* 30 /2. This will equal as 270=270, confirming 18in as the correct measurement.

3 0

3 years ago