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1 year ago

How many gallons of a 20% salt solution must be mixed with 4 gallons of a 30% salt solution to make a 25% salt solution?

1 answer:

6 0

Since 25% is smack in the middle between 20% and 30%, it will take equal volumes of ech to make a 25% solution.

Since 4 gallons of 30% solution was used, so 4 gallons of 20% solution will be needed.

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There are two pizzas. Conor ate 1?4 of a pizza, Brandon 2?8, Tyler 3?4, and Audrey 4?8. Who ate the most of the two pizzas?

Katarina [22]

Answer:

Tyler ate most of the pizza.

Step-by-step explanation:

To make this much easier, we can convert this until it has a common denominator.

For these fractions, that common denominator is 8.

1/4 has to be multiplied by 2 to get 2/8.

2/8 doesn't need to be multiplied by anything to get to 2/8.

3/4 has the be multiplied by two to get 6/8.

Finally, 4/8 doesn't need to be multiplied by anything to get 4/8.

With 6/8 obviously being the biggest number here, we can conclude that Tyler ate the most of the two pizzas.

5 0

1 year ago

A certain type of plywood consists of six layers. The thickness of the layers are independent and normally distributed with mean

Ira Lisetskai [31]

Answer:

a.) The mean of the six layered plywood is 30 mm

The standard deviation is 0.49 mm

b.) That the thickness is less than 28 mm has a probability of 0.000022.

Step-by-step explanation:

There are six layers in a plywood that is considered. It is also given that the layers are independent and normally distributed.

The thickness of the layers of the plywood have a mean, $\mu$ = 5 mm

and a standard deviation, $\sigma$ = 0.2 mm.

a.) Therefore the mean of the six layered plywood is = 6 $\mu$

= 6 × 5 mmm

= 30 mm

The standard deviation of the six layered plywood = $\sqrt{6 \sigma^{2} }$ = $\sqrt{6 \times (0.2)^2}$ = 0.49 mm

b.) We are given to find that the probability of the plywood is less than 28 mm thick.

P( thickness < 28 mm)

P( Z < $\frac{(28 - 30)}{0.49}$ ) = P(Z < $(\frac{-2}{0.49} )$ ) ⇒ P( Z < -4.082) = 0.000022

8 0

1 year ago

The price of a ceramic bead necklace (Y) is directly proportional to the number of beads (x) on the necklace. Using the graph, w

Annette [7]

Answer: C) (1,0.80) represents the unit rate. E) (25,20) represents the price of a necklace with 25 beads

Step-by-step explanation:

(1, 0.80) represents the unit rate.

(25, 20) represents the price of a necklace with 25 beads.

$\frac{y}{x}$ = unit rate → $\frac{4}{5}$ = 0.80; $\frac{12}{15}$ = 0.80; $\frac{16}{20}$ = 0.80

Point (1, r) → (1, 0.80) represents the unit rate.

25(0.80) = 20; thus, (25, 20) represents the price of 25 beads.

Hope this helps

8 0

1 year ago

Which real-world scenario can be described by the algebraic expression 4w? withdrawing w dollars from the bank and giving 4 doll

ANTONII [103]

Answer:

It's B

Step-by-step explanation:

3 0

1 year ago

Read 2 more answers

The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride a

Makovka662 [10]

Answer:

$T=\frac{2}{3}$

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

Step-by-step explanation:

We are given height function as

$h=82.5sin(3\pi(t+0.5))+97.5$

where

h is the height above the ground

t is the time

we can compare it with standard equation

$y=Asin(B(t+C))+D$

Period formula is

$T=\frac{2\pi}{B}$

now, we can compare and find B

$B=3\pi$

we can find period

$T=\frac{2\pi}{3\pi}$

$T=\frac{2}{3}$

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

5 0

1 year ago