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3 years ago

2x + 3y + x +7 Like terms

Mathematics

2 answers:

Serjik [45]3 years ago

4 0

Answer:

3x+3y+7

Step-by-step explanation:

2x+x+3y+7

3x+3y+7

igor_vitrenko [27]3 years ago

3 0

Answer:

3x+3y+7

Step-by-step explanation:

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Fiona purchased 400 m2 of plastic sheeting and needs to cut it into rectangles of area 500 cm2. This can be done with no waste.

hoa [83]

Answer:

8000

Step-by-step explanation:

The number will be ...

(400 m^2)/(500 cm^2) = 0.8 (m/cm)^2 = 0.8 ((100 cm)/(1 cm))^2

= 0.8·100^2 = 8000

Fiona can cut 8000 rectangles from the plastic sheeting she bought.

5 0

3 years ago

A certain college graduate borrows 7864 dollars to buy a car. The lender charges interest at an annual rate of 13%. Assuming tha

White raven [17]

Answer:

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = =$1573.17

Step-by-step explanation:

Consider A represent the balance at time t.

A(0)=$ 7864.

r=13 % =0.13

Rate payment = $k

The balance rate increases by interest (product of interest rate and current balance) and payment rate.

$\frac{dB}{dt} = rB-k$

$\Rightarrow \frac{dB}{dt} - rB=-k$ .......(1)

To solve the equation ,we have to find out the integrating factor.

Here p(t)= the coefficient of B =-r

The integrating factor $=e^{\int p(t) dt$

$=e^{\int (-r)dt$

$=e^{-rt}$

Multiplying the integrating factor the both sides of equation (1)

$e^{-rt}\frac{dB}{dt} -e^{-rt}rB=-ke^{-rt}$

$\Rightarrow e^{-rt}dB - e^{-rt}rBdt=-ke^{-rt}dt$

Integrating both sides

$\Rightarrow \int e^{-rt}dB -\int e^{-rt}rBdt=\int-ke^{-rt}dt$

$\Rightarrow e^{-rt}B=\frac{-ke^{-rt}}{-r} +C$ [ where C arbitrary constant]

$\Rightarrow B(t)=\frac{k}{r} +Ce^{rt}$

Initial condition B=7864 when t =0

$\therefore 7864= \frac{k}{r} - Ce^0$

$\Rightarrow C= \frac{k}{r} -7864$

Then the general solution is

$B(t)=\frac{k}{r}-( \frac{k}{r}-7864)e^{rt}$

To determine the payment rate, we have to put the value of B(3), r and t in the general solution.

Here B(3)=0, r=0.13 and t=3

$B(3)=0=\frac{k}{0.13}-( \frac{k}{0.13}-7864)e^{0.13\times 3}$

$\Rightarrow- 0.48\frac{k}{0.13} +11614.98=0$

⇒k≈3145.72

Therefore rate of payment = $ 3145.72

Therefore the rate of interest = ${(3145.72×3)-7864}

=$1573.17

4 0

3 years ago

6 1/2lb=___oz I need to know now or I will get it wrong

Semmy [17]

It i 104 oz

Hope This Helps

4 0

3 years ago

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gtnhenbr [62]

8:20 pm because if Prisha read 60 pages for a half hour, and she read 40 until 8:40, it would be 8:20 pm

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3 years ago

V=r^2+R^2h; Solve for R

Ne4ueva [31]

Solve for R by simplifying both sides of the equation, the isolating the variable.
R^2h=-r^2+v

6 0

3 years ago