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2 years ago

The product of two consecutive even integers is 10 less than 5 times their sum. Find the two integers. Answer in

Mathematics

1 answer:

anyanavicka [17]2 years ago

7 0

Answer:

(0,2) and (8,10)

Step-by-step explanation:

Let the smaller integer be 2n. The larger will be 2x+2.

ATQ. 2n(2n+2)+10=5(4n+2). Solving it, we get 2n=0 or 2n=8. The pairs are (0,2) and (8,10)

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the temperature of an oven went through 330 degrees to 390 degrees what is the percentage increase in temperature

valentina_108 [34]

All you do is divide.
330/390= 0.846
round it: 0.85
Answer is about 85%

5 0

3 years ago

If a cannonball is shot directly upward with a velocity of 160 ft per second, its height above the ground after t seconds is gi

Contact [7]

Step-by-step explanation:

If a cannonball is shot directly upward with a velocity of 160 ft per second. Its height as a function of time is given by :

$h(t)=160t-16t^2$ .......(1)

t is in seconds

(a) Velocity is given by :

$v=\dfrac{dh}{dt}\\\\v=\dfrac{d(160t-16t^2)}{dt}\\\\v=(160-32t)\ ft/s$

Acceleration is given by :

$a=\dfrac{dv}{dt}\\\\a=\dfrac{d(160-32t)}{dt}\\\\a=-32\ ft/s^2$

(b) For maximum height put $\dfrac{dh}{dt}=0$

i.e.

$160-32t=0\\\\t=5\ s$

Put t = 5 s in equation (1). So,

$h(5)=160t-16t^2\\\\h(5)=160(5)-16(5)^2\\\\h(5)=400\ ft$

h(t) = 0

$160t-16t^2=0\\\\t(160-16t)=0\\\\t=0,t=10\ s$

Hence, this is the required solution.

4 0

3 years ago

on each of 3 days, Derrick rode 6.45 mules to school,15 meters to the library, and then 500 meters back home.how many kilometers

SCORPION-xisa [38]

If 6.45 is supposed to be miles
6.45 miles = 10380.269 metres
10380.269+15+500=10,895.269
but that is only if the 6.45 is in miles

6 0

3 years ago

Cooper bought a serving platter originally priced at $20 but on sale for 50% off. After 10% sales tax, what was the total cost?

Gelneren [198K]

Answ

$11.00

Step-by-step explanation:

A quick way to do this would be as follows: 1.10 ( 0.50*$20), or $11.00.

0.50($20) gives us the sale price (at half off); that's half of $20, or $10.

The total due is then $10 (item cost) plus $1 (tax), or $11

7 0

2 years ago

I have no idea how to do this ha

TEA [102]

Answer:

Step-by-step explanation:

If they are parallel then the 2 labelled angles sum to 180.

2x+50+5x-80=180

7x-30=180

7x=210

x=30

7 0

2 years ago

Read 2 more answers