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iris [78.8K]
3 years ago
6

A group of friends share 32 cookies.

Mathematics
1 answer:
Stels [109]3 years ago
8 0

Answer:

8

Step-by-step explanation:

32-jessica(8)-garret(8)=16, If John eats 8 more cookies, then there are only 8 cookies left.

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72. What is the prime factorization of 714?
Ray Of Light [21]
Hello,
2*3*7*17=714
Answer K
7 0
3 years ago
A laptop computer sells for $850. the sales tax is 7%. what is the total cost of the laptop?
evablogger [386]

Answer:

$909.50

Step-by-step explanation:

$850 x 7% = $59.50 (tax amount)

850 x (1+ 0.07) = $909.50

4 0
3 years ago
What is x in 2x − 3 + 4x = 21
Serggg [28]

Answer: x = 4

Step-by-step explanation:

2x - 3 + 4x = 21

6x - 3 = 21

6x - 3 (+3)  = 21 (+3)

6x = 24

24/6

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7 0
2 years ago
Read 2 more answers
Plz help i will mark u brainlyest.
spin [16.1K]
A = 5, -10
B = 1, 8
C = 5, -7
4 0
3 years ago
Read 2 more answers
Evaluate the spherical coordinate integral
expeople1 [14]

Rewrite the equations of the given boundary lines:

<em>y</em> = -<em>x</em> + 1  ==>  <em>x</em> + <em>y</em> = 1

<em>y</em> = -<em>x</em> + 4  ==>  <em>x</em> + <em>y</em> = 4

<em>y</em> = 2<em>x</em> + 2  ==>  -2<em>x</em> + <em>y</em> = 2

<em>y</em> = 2<em>x</em> + 5  ==>  -2<em>x</em> + <em>y</em> = 5

This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3

Rewrite the integrand:

-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3

The integral is then

\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}

5 0
3 years ago
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