Ask question

Ask question

All categories

2 years ago

14

Jasmine is planning a surprise birthday for one of her coworkers. One pizza is $11 and a cake is $18. If Jasmine has $84, how ma

ny pizzas can she buy and still afford to buy a cake?

1 answer:

Irina-Kira [14]2 years ago

8 0

84-18=66
66 divided by 11 =6
Jasmine can buy 6 pizzas and 1 cake with $84

You might be interested in

The Atlantic bluefin tuna is the largest and most endangered of the tuna species. They are found throughout the North Atlantic O

Maksim231197 [3]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

3 0

3 years ago

Find an equation of the tangent line to the curve 2(x^2+y^2)2=25(x^2−y^2) (a lemniscate) at the point (3,1)

Sholpan [36]

$\bf 2[x^2+y^2]^2=25(x^2-y^2)\qquad \qquad 
\begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 3}}\quad ,&{{ 1}})\quad 
\end{array}\\\\
-----------------------------\\\\
2\left[ x^4+2x^2y^2+y^4 \right]=25(x^2-y^2)\qquad thus
\\\\\\
2\left[ 4x^3+2\left[ 2xy^2+x^22y\frac{dy}{dx} \right]+4y^3\frac{dy}{dx} \right]=25\left[2x-2y\frac{dy}{dx} \right]
\\\\\\
2\left[ 4x^3+2\left[ 2xy^2+x^22y\frac{dy}{dx} \right]+4y^3\frac{dy}{dx} \right]=50\left[x-y\frac{dy}{dx} \right]
\\\\\\
$

$\bf \left[ 4x^3+2\left[ 2xy^2+x^22y\frac{dy}{dx} \right]+4y^3\frac{dy}{dx} \right]=25\left[x-y\frac{dy}{dx} \right]
\\\\\\
4x^3+4xy^2+4x^2y\frac{dy}{dx}+4y^3\frac{dy}{dx}+25y\frac{dy}{dx}=25x
\\\\\\
\cfrac{dy}{dx}[4x^2y+4y^3+25y]=25x-4x^3+4xy^2
\\\\\\
\cfrac{dy}{dx}=\cfrac{25x-4x^3+4xy^2}{4x^2y+4y^3+25y}\impliedby m=slope$

notice... a derivative is just the function for the slope

now, you're given the point 3,1, namely x = 3 and y = 1

to find the "m" or slope, use that derivative, namely $f'(3,1)=\cfrac{25x-4x^3+4xy^2}{4x^2y+4y^3+25y}$

that'd give you a value for the slope

to get the tangent line at that point, simply plug in the provided values
in the point-slope form

$\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad
\begin{cases}
x_1=3\\
y_1=1\\
m=slope
\end{cases}\\ \qquad \uparrow\\
\textit{point-slope form}$

and then you solve it for "y", I gather you don't have to, but that'd be the equation of the tangent line at 3,1

6 0

3 years ago

I need help with this question.

Sunny_sXe [5.5K]

A trapezoid is defined as a quadrilateral with only 1 pair of parallel sides. Since your Quadrilateral has 2 pairs, it can't be a trapezoid.

5 0

3 years ago

A recipe calls for for half-cup of sugar. Unfortunately Kirk only has a teaspoon with which to measure. he knows that there are

scoundrel [369]

Answer:

24

Step-by-step explanation:

12 tablespoons= 1/4 cup

So 24= 1/2 cup

3 0

2 years ago

Please help me with this question....

AVprozaik [17]

Answer:

$63.63 {m}^{2}$

Step-by-step explanation:

$area \: = \pi {r}^{2} \\ = 3.142(4.5) {}^{2} \\ = 63.63m {}^{2}$

7 0

3 years ago