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jekas [21]
3 years ago
8

A box of a dozen fruit tarts costs$15.00. What is the cost of one fruit tart

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
5 0
$1.25 $15.00 divided by 12 (a dozen) is equal to 1.25
hammer [34]3 years ago
4 0
Cost:amount
15/12 
$1.25 for a fruit tart
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Find the area of the square rug if its side is (2x+3) feet
tankabanditka [31]
Answer: 4x² + 12x + 9


Explanation:

Area = (2x + 3) (2x + 3) = 4x² + 6x + 6x + 9 =  4x² + 12x + 9
5 0
3 years ago
Find the area of the part of the plane 3x 2y z = 6 that lies in the first octant.
gavmur [86]

The area of the part of the plane 3x 2y z = 6 that lies in the first octant  is  mathematically given as

A=3 √(4) units ^2

<h3>What is the area of the part of the plane 3x 2y z = 6 that lies in the first octant.?</h3>

Generally, the equation for is  mathematically given as

The Figure is the x-y plane triangle formed by the shading. The formula for the surface area of a z=f(x, y) surface is as follows:

A=\iint_{R_{x y}} \sqrt{f_{x}^{2}+f_{y}^{2}+1} d x d y(1)

The partial derivatives of a function are f x and f y.

\begin{aligned}&Z=f(x)=6-3 x-2 y \\&=\frac{\partial f(x)}{\partial x}=-3 \\&=\frac{\partial f(y)}{\partial y}=-2\end{aligned}

When these numbers are plugged into equation (1) and the integrals are given bounds, we get:

&=\int_{0}^{2} \int_{0}^{3-\frac{3}{2} x} \sqrt{(-3)^{2}+(-2)^2+1dxdy} \\\\&=\int_{0}^{2} \int_{0}^{3-\frac{3}{2} x} \sqrt{14} d x d y \\\\&=\sqrt{14} \int_{0}^{2}[y]_{0}^{3-\frac{3}{2} x} d x d y \\\\&=\sqrt{14} \int_{0}^{2}\left[3-\frac{3}{2} x\right] d x \\\\

&=\sqrt{14}\left[3 x-\frac{3}{2} \cdot \frac{1}{2} \cdot x^{2}\right]_{0}^{2} \\\\&=\sqrt{14}\left[3-\frac{3}{2} \cdot \frac{1}{2} \cdot x^{2}\right]_{0}^{2} \\\\&=\sqrt{14}\left[3.2-\frac{3}{2} \cdot \frac{1}{2} \cdot 3^{2}\right] \\\\&=3 \sqrt{14} \text { units }{ }^{2}

In conclusion,  the area is

A=3 √4 units ^2

Read more about the plane

brainly.com/question/1962726

#SPJ4

5 0
1 year ago
3. You earned $204 from your job last week. You have two relatives with birthdays coming up and you want to
san4es73 [151]

Answer:

62$

Step-by-step explanation:

FORGET THEM IM SAVING MY MONEY

4 0
4 years ago
Read 2 more answers
48 m
g100num [7]

Answer:

Answer in terms of π=144π m^3

Answer by replacing π with 3.14 is 452.16 approximately 452.2m^3

Answer to the nearest whole no. is 452m^3

Step-by-step explanation:

volume \: of \: a \: cone =  \frac{1}{3} \pi {r}^{2} h

radius =  \frac{diametre}{2}

radius = 24

height = 18

slant \: height \:  = 30

first \: step

the \: exact \: volume \: of \: the \: cone \: in \: terms \: of \: \pi

v =  \frac{1}{3} \pi {r}^{2} h

\:  \:  =  \frac{1}{3}  \times \pi \times 24 \times 18

\:  \:  \:  =  \frac{432\pi}{3}

\:  \:  \:  = 144\pi

second \: step

approximate \: answer \: using \: 3.14 \: in \: place \: of \: \pi

144 \times 3.14

= 452.16

approximately \: 452.2

last \: step

answer \: to \: the \: nearest \: whole \: number

452 {m}^{3}

7 0
3 years ago
Solve the following equation for x.
makkiz [27]

Answer:

you're answer is d

Step-by-step explanation:

you make the 9 positive and add 9 to -51 and you get -42 then you divide by 6 and get -7

3 0
4 years ago
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