. What is the slope of a line with the equation y = 5x + 35 ?

Two lighthouses flash their lights every 20 and 30 seconds respectively. given that they flash together at 8 p.m., at what time

VikaD [51]

Do you remember when you were learning about
Least Common Multiple (LCM) ? And you were
wondering what on Earth you would ever need it for ?

THIS IS IT !

The amount of time after 8 PM when the lights will flash
together again is the LCM of 20 seconds and 30 seconds.
Do you remember how to find it ?

... When 20 is prime-factored, you have 2 · 2 · 5 .

... When 30 is prime-factored, you have 2 · 3 · 5 .

... So the Least Common Multiple of 20 and 30 is 2 · 2 · 3 · 5 = 60 .

The lighthouses will flash together again in 60 seconds after 8 PM.
That'll be 8:01 PM.

6 0

3 years ago

The perimeter of a triangle is 29. One side of a triangle is 5 less than twice the side of the shortest length. The third side i

PolarNik [594]

Answer:

7, 9, 13

Step-by-step explanation:

Let the sides of the triangle be a, b and c.

We have:

P = a + b + c = 29
a = 2b - 5
c = b + 6

Substitute values and solve for b:

2b - 5 + b + b + 6 = 29
4b + 1 = 29
4b = 28
b = 7

Find a and c:

a = 2*7 - 5 = 14 - 5 = 9
c = 7 + 6 = 13

The sides are: 7, 9, 13

4 0

2 years ago

Read 2 more answers

A triangle has one angel that measures 51 degrees and one angle that measures 39 degrees. what kind of triangle is it?

sp2606 [1]

Those two angles are complementary - which means they both give us 90 degrees. We know that all three angles in any triangle must be exactly 180 degrees, so the third angle will be 180 - 90 = 90 degrees. It means that our triangle is a straight triangle. The figure will look more less like in the attachment.

6 0

2 years ago

A pump fills 25 of a tank in 23 hour. At this rate, how much of the tank will the pump fill in an hour?

Sophie [7]

60% or 3/5 of the tank will be filled in an hour.

The pump will fill 2/5 of the tank in 2/3 hours.

In order to find out how much of the tank will be filled in an hour, use direct proportion and assume portion of the tank that will be filled up in an hour is x.

2/5 of tank : 2/3 hours

x of tank : 1 hour

Cross multiply to get:

2/3x = 2/5

x = 2/5 ÷ 2/3

x = 2/5 x 3/2

= 0.6 of the tank

= 60%

= 3/5 of tank

In conclusion, 60% of the tank will be filled in an hour.

Find out more at brainly.com/question/14336804.

6 0

2 years ago

(1 point) A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowi

Drupady [299]

Answer:

a. $\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c$

b. $x(t) = 6\frac{2}{3} \cdot c \cdot t$

c. $c = \dfrac{3}{8} \ g/L$

Step-by-step explanation:

a. The volume of water initially in the fish tank = 15 liters

The volume of brine added per minute = 5 liters per minute

The rate at which the mixture is drained = 5 liters per minute

The amount of salt in the fish tank after t minutes = x

Where the volume of water with x grams of salt = 15 liters

dx = (5·c - 5·c/3)×dt = 20/3·c = $6\frac{2}{3} \cdot c \cdot dt$

$\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c$

b. The amount of salt, x after t minutes is given by the relation

$\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c$

$dx = 6\frac{2}{3} \cdot c \cdot dt$

$x(t) = \int\limits \, dx = \int\limits \left ( 6\frac{2}{3} \cdot c \right) \cdot dt$

$x(t) = 6\frac{2}{3} \cdot c \cdot t$

c. Given that in 10 minutes, the amount of salt in the tank = 25 grams, and the volume is 15 liters, we have;

$x(10) = 25 \ grams(15 \ in \ liters) = 6\frac{2}{3} \times c \times 10$

$6\frac{2}{3} \times c =\dfrac{25 \ grams }{10}$

$c =\dfrac{25 \ g/L }{10 \times 6\frac{2}{3} } = \dfrac{25 \ g/L}{10 \times \dfrac{20}{3} } =\dfrac{3}{200} \times 25 \ g/L= \dfrac{75}{200} \ g/L = \dfrac{3}{8} \ g/L$

$c = \dfrac{3}{8} \ g/L$

4 0

2 years ago

. What is the slope of a line with the equation y = 5x + 35 ? ​

. What is the slope of a line with the equation y = 5x + 35 ?