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3 years ago

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Mathematics

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AlexFokin [52]3 years ago

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Factor the algebraic expression.<br> 24a + 15<br> 24a + 15 =

hichkok12 [17]

Answer:

x = 5/8

Step-by-step explanation:

24a = 15

Divide both sides by 24:

24a ÷ 24 = 15 ÷ 24

x = 5/8

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3 years ago

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Nitric acid (specific gravity 1.42) costs $51.95 per liter. A student spills 5.112 kg of nitric acid in the laboratory, what is

Leno4ka [110]

Answer:

The cost of wasted nitric acid is $187.02

Step-by-step explanation:

Since it is given that specific gravity of Nitric Acid is 1.42 Thus the density of nitric acid is

$\rho _{acid}=S.G\times \rho _{water}\\\\\\\rho_{acid}=1.42\times 1\frac{g}{cm^3}\\\\\rho_{acid}=1.42g/cm^3$

Now from the basic relation of mass volume and density we have

$\rho =\frac{Mass}{Volume}\\\\\therefore Volume=\frac{Mass}{\rho }$

Since the mass of the nitric acid is given to be 5.112 kg = 5112 grams

Thus the volume of nitric acid is

$Volume=\frac{5112}{1.42}=3600cm^3$

Now we know that 1000 cubic centimeters euals 1 litrer

Thus the calculated volume in liters is

$V_{liters}=\frac{3600}{1000}=3.6Liters$

Thus the cost of acid spilled equals

$Cost=3.6\times 51.95=187.02$

5 0

3 years ago

John and Beth plan to visit a bookstore. Based on their previous visits to this bookstore, the probability distributions for the

lora16 [44]

Answer:

D) 0.1250

Step-by-step explanation:

Let P(J) = Probability of John to purchase 0 books

Let P(B) = Probability of Beth to purchase 0 books

P(J∩B) = Probability that both john and Beth will purchase 0 books .ie. a total of 0 books is purchased.

Since the decisions to purchase books are two independents events,

P(J∩B) = P(J) * P(B)

P(J) = 0.5

P(B) = 0.25

P(J∩B) = 0.5 * 0.25

P(J∩B) = 0.125

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3 years ago

X+4y=4 y in terms of x

Alinara [238K]

Answer:

x + 4y = 4

4y = 4 - x

multiply both sides by 1/4

y = 1/4( 4- x)

y = 1- 1/4x

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3 years ago

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Suppose Jessica opens a savings account with $5000 that compounds interest daily. The APR at the time Jessica opens the account

IrinaK [193]

Hi there

1+0.035=(1+r/360)^360
Solve for r
R=(((1.035)^(1÷360)−1)×360)×100
R=3.44%

6 0

3 years ago