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Nataly [62]
3 years ago
7

What is three and three sevenths plus two and a half?

Mathematics
2 answers:
spin [16.1K]3 years ago
7 0

Answer: 5.928 and so on

Step-by-step explanation:

katrin2010 [14]3 years ago
7 0

Answer:

5 \frac{13}{14}

Step-by-step explanation:

3 \frac{3}{7}  + 2 \frac{1}{2}

find LCM/ least common multiple

7:7 14 21 28 35...

2:2 4 6 8 10 12 14 16 18...

3 \frac{3}{7}  = 3 \frac{6}{14}

2 \frac{1}{2}  = 2 \frac{7}{14}

3 \frac{6}{14}  + 2 \frac{7}{14}  =

5 \frac{13}{14}

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What is the sum of all possible multiples of 5 less than 500
Leona [35]

Answer:

We need to find 5 + 10 + 15 + ... + 485 + 490 + 495. There are 99 numbers that are being added. To add this we can do 5 + 495, 10 + 490, 15 + 485 and so on. These pairs have a sum of 500 and since there are 98 / 2 = 49 pairs their sum is 500 * 49 = 24500. Since there is an odd number of numbers that are being added, there is one number that does not belong to a pair. That number is the 50th number in the list which is 50 * 5 = 250. Therefore the answer is 24500 + 250 = 24750.

8 0
4 years ago
find the equation of the line that has a slope of -1 and a y interception of -6 write your answer in y=mx+b form
Yakvenalex [24]

Answer: y = -x - 6

Step-by-step explanation:

The equation of a line in slope-intercept form is given as :

y = mx + b , where m is the slope and b is the y - intercept.

From the question :

m = - 1

b = -6

substituting into the formula , we have

y = -1(x) - 6

y = -x - 6

8 0
4 years ago
Simplify (–14 + 77) – |21 – 82|.
Leni [432]

Answer:

-14+77=63

21-82=-61

|-61|=61

So 63-61=2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y
koban [17]

\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}

Substituting this into the other ODE gives

-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0

Since x(t)=-\dfrac14y'(t), it follows that x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16. The ODE in y has characteristic equation

r^2-16=0

with roots r=\pm4, admitting the characteristic solution

y_c=C_1e^{4t}+C_2e^{-4t}

From the initial conditions we get

y(0)=5\implies 5=C_1+C_2

y'(0)=16\implies-16=4C_1-4C_2

\implies C_1=\dfrac12,C_2=\dfrac92

So we have

\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}

Take the derivative and multiply it by -1/4 to get the solution for x(t):

-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}

7 0
4 years ago
Find the surface area of the prism. 10m 15m 16m 17m 17m
Alexeev081 [22]

is it a rectangular prism

4 0
3 years ago
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