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2 years ago

6.4f 24 water bottles weigh 30 pounds, how much would a shipment of 150 water bottles weigh?

Mathematics

1 answer:

Marizza181 [45]2 years ago

7 0

Answer:

120 pounds

Step-by-step explanation:

24÷30 =0.8

0.8 x 150= 120 pounds

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Alex has a bag of marbles. Each marble is red, blue, or yellow , and the ratio of the red to blue to yellow marbles is 6:10:15.

lesantik [10]

Answer:

There are 150 blue marbles in Alex's bag.

Step-by-step explanation:

Let $x$ , $y$ , $z$ be the quantities of red, blue and yellow marbles, respectively. From statement we derive three rational equations for initial and final ratios:

Initial ratio

$\frac{x}{y} = \frac{6}{10}$ (1)

$\frac{y}{z} = \frac{10}{15}$ (2)

Final ratio

$\frac{x + 10}{z - 25} = \frac{1}{2}$ (3)

After some algebraic handling we get the following system of linear equations:

$x - \frac{3}{5}\cdot y = 0$ (1)

$y - \frac{2}{3}\cdot z = 0$ (2)

$2\cdot (x + 10) = z - 25$

$2\cdot x +20 = z - 25$

$2\cdot x - z = -45$ (3)

The solution of the system of linear equations is:

$x = 90$ , $y = 150$ , $z = 225$

There are 150 blue marbles in Alex's bag.

5 0

3 years ago

The sum of two consecutive interferes is at least 7 (n and n + 1 represent two interferes

vesna_86 [32]

Consecutive integers are 1 apart so they are n and n+1

their sum (add) is at least 7
sum>7

sum means add
n+n+1>7
2n+1>7
minus 7 both sides
2n>6
divide 2
n>3

the smaller number mist be at least 3, (making the bigger number at least 4)

6 0

4 years ago

Bryan needs 15 quarts of paint.he wants to buy both quarts and gallons . A quart cost $4.99 and a gallon 14.99?

Colt1911 [192]

BRYAN would need to buy 3 gallons and 8 quarts witch would cost
$14.99 times 3 and $4.99 times 8
$44,97+$39.92=$84.98 would be spent for all off the paint he needs

8 0

4 years ago

The physician orders 600mg of ibuprofen for a patient who will be transferred back to an

Anit [1.1K]

Answer: 3?

Step-by-step explanation:

2,4,6

7 0

3 years ago

Read 2 more answers

A certain country has $10 billion in paper currency in circulation, and each day $50 million comes into the country's banks. The

mash [69]

Answer:

$\bf x(t)=10(1-e^{-0.005*t})$

Step-by-step explanation:

The differential equation

$\bf \displaystyle\frac{dx}{dt}=0.005(10-x)$

can be solved by separation of variables. Write the equation as

$\bf \displaystyle\frac{dx}{10-x}=0.005dt$

Integrate on both sides

$\bf \int\displaystyle\frac{dx}{10-x}=\int0.005dt\Rightarrow -ln(10-x)=0.005t+C\Rightarrow\\\\\Rightarrow ln(10-x)^{-1}=0.005t+C\Rightarrow (10-x)^{-1}=e^{0.005t}e^C$

where C is a constant.

$\bf e^C$ is also a constant and we will keep calling it C, (there is no reason to change the letter). We have then

$\bf (10-x)^{-1}=Ce^{0.005t}\Rightarrow \displaystyle\frac{1}{10-x}=Ce^{0.005t}\Rightarrow 10-x=\displaystyle\frac{1}{Ce^{0.005t}}\Rightarrow\\\\\Rightarrow x(t)=10-(1/C)e{-0.005t}$

(1/C) is a constant, and for the same reason we will keep calling it C. So the general solution is

$\bf x(t)=10-Ce^{-0.005t}$

Now, we use the initial condition x(0)=0

$\bf x(0)=10-Ce^{-0.005*0}=0\Rightarrow C=10$

and the particular solution is

$\bf x(t)=10-10e^{-0.005*t}=10(1-e^{-0.005*t})\\\\\boxed{x(t)=10(1-e^{-0.005*t})}$

7 0

3 years ago

6.4f 24 water bottles weigh 30 pounds, how much would a shipment of 150 water bottles weigh?​

6.4f 24 water bottles weigh 30 pounds, how much would a shipment of 150 water bottles weigh?