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3 years ago

7

Two hundred people were asked to choose their favorite of the following ice cream flavors: vanilla, chocolate, or strawberry. Ho

w many people chose vanilla as their favorite?
102
234
68
34

2 answers:

Lyrx [107]3 years ago

8 0

Answer:

Vanilla Percentage = 34%

Therefore the number of people who choose vanilla is :

34% x 200 = 68 people

Formula:

Percentage of Object x Total number = Number of Object

olchik [2.2K]3 years ago

4 0

Answer:

68 people chose vanilla.

Step-by-step explanation:

34 percent of 200 is 68, so 68 people chose vanilla.

You might be interested in

Find general solutions of the differential equation. Primes denote derivatives with respect toÂ x.

zepelin [54]

Answer:

$\mathbf{3x^2y^3+2xy^4=C}$

Step-by-step explanation:

From the differential equation given:

$6xy^3 +2y ^4 +(9x^2y^2+8xy^3) y' = 0$

The equation above can be re-written as:

$6xy^3 +2y^4 +(9x^2y^2+8xy^3)\dfrac{dy}{dx}=0$

$(6xy^3 +2y^4)dx +(9x^2y^2+8xy^3)dy=0$

Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.

Then;

M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:

$\dfrac{{\partial M }}{{\partial y }}= \dfrac{\partial N}{\partial x}}} \ \ \text{at each point of R}$

relating with equation M(x,y)dx + N(x,y) dy = 0

Then;

$M(x,y) = 6xy^3 +2y^4\ and \ N(x,y) = 9x^2 y^2 +8xy^3$

So;

$\dfrac{\partial M}{\partial y }= 18xy^3 +8y^3$

$\dfrac{\partial N}{\partial y }$

Let's Integrate $\dfrac{\partial F}{\partial x}= M(x,y)$ with respect to x

Then;

$F(x,y) = \int (6xy^3 +2y^4) \ dx$

$F(x,y) = 3x^2 y^3 +2xy^4 +g(y)$

Now, we will have to differentiate the above equation with respect to y and set $\dfrac{\partial F}{\partial x}= N(x,y)$ ; we have:

$\dfrac{\partial F}{\partial y} = \dfrac{\partial}{\partial y } (3x^2y^3+2xy^4+g(y)) \\ \\ = 9x^2y^2 +8xy^3 +g'(y) \\ \\ 9x^2y^2 +8xy^3 +g'(y) =9x^2y^2 +8xy^3 \\ \\ g'(y) = 0 \\ \\ g(y) = C_1$

Hence, $F(x,y) = 3x^2y^3 +2xy^4 +g(y) \\ \\ F(x,y) = 3x^2y^3 + 2xy^4 +C_1$

Finally; the general solution to the equation is:

$\mathbf{3x^2y^3+2xy^4=C}$

5 0

3 years ago

A sporting goods store sells right-handed and left-handed baseball gloves. In one month, 12 gloves were sold for a total revenue

stepladder [879]

Answer:

$9$ right-handed gloves and $3$ left-handed gloves were sold.

Step-by-step explanation:

Given: In one month, $12$ gloves were sold for a total revenue of $\$561$ .

right-handed gloves cost $\$45$ and left-handed gloves cost $\$52$ .

To find: How much of each type of gloves did they sell?

Solution: Let they sell $x$ right-handed gloves, and $y$ left-handed gloves.

Now, cost of each right-handed gloves $=\$45$

cost of each left-handed gloves $=\$52$

Total revenue $=\$561$

So, we get

$45x+52y=561\:\:\:...(i)$

Also, in a month $12$ gloves were sold.

So, we get

$x+y=12\:\:\:...(ii)$

Now, from $(ii)$ we get, $x=12-y$ .

Putting $x=12-y$ in equation $(i)$ , we get

$45(12-y)+52y=561$

$\implies 540-45y+52y=561$

$\implies7y=561-540$

$\implies7y=21$

$\implies y=\frac{21}{7}$

$\implies y=3$

Now, putting $y=3$ in equation $(ii)$ , we get

$x+3=12$

$\implies x=12-3$

$\implies x=9$

Hence, $9$ right-handed gloves and $3$ left-handed gloves were sold.

7 0

3 years ago

James bought 6 cupcakes and a pint of ice cream. He knows his total bill and the pint of ice cream was $5.76, but

PilotLPTM [1.2K]

Answer:

Each cupcake was $2.75

Step-by-step explanation:

We subtract the price of the ice cream from the total bill $22.26-$5.76=$16.50

We know he only bought the ice cream and cupcakes so once we subtracted the price of the ice cream, we now have the price of the cupcakes all together only

We divide the price of all the cupcakes by the amount of cupcakes to get the price of each individual cupcake $16.50/6=$2.75

8 0

3 years ago

4. Given point A (3, 8) and point B (-5, 1). Find the following:

Anni [7]

Answer:

a) (-1,4.5)

b)10.63 units

c)7/8

Step-by-step explanation:

a) To find this, we use the midpoint formula

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

(x1,y1) = (3,8)

(x2,y2) = (-5,1)

(x,y) = (3 -5)/2 , (8 + 1)/2 = (-1, 4.5)

b) To calculate the distance D between two points, we use the formula;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-3)^2 + (1-8)^2

D = √(-8)^2 + (-7)^2

D = √64 + 49

D = √113

D = 10.63 units

C) We use the slope formula here

m = (y2-y1)/(x2-x1)

m = (1-8)/(-5-3) = -7/-8 = 7/8

6 0

3 years ago

In parallelogram RSWY, find m

LuckyWell [14K]

Answer:

Part A) $m\angle R=110^o$

Part B) $m\angle S=70^o$

Step-by-step explanation:

we know that

In a parallelogram, opposite angles are congruent and consecutive angles are supplementary

step 1

Find the value of x

we know that

$m\angle R=m\angle W$ ----> by definition of parallelogram (opposite angles are congruent)

substitute the given values

$(5x-90)^o=(2x+30)^o$

solve for x

$5x-2x=30+90\\3x=120\\x=40^o$

step 2

Find the measure of angle R

$m\angle R=(5x-90)^o$

substitute the value of x

$m\angle R=(5(40)-90)=110^o$

step 3

Find the measure of angle S

we know that

$m\angle R+m\angle S=180^o$ ---> by definition of parallelogram (consecutive angles are supplementary)

we have

$m\angle R=110^o$

substitute

$110^o+m\angle S=180^o$

$m\angle S=180^o-110^o$

$m\angle S=70^o$

8 0

3 years ago