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3 years ago

Ava bought a 250-ml bottle of concentrated

Mathematics

1 answer:

Reil [10]3 years ago

8 0

Answer:

Ava needs to add 50ml of cleaner.

Step-by-step explanation:

Ratio of cleaner : water = 1:7

This means that the total ratio;(water+cleaner) = 1+7 = 8

Find fraction of each item out of the total ratio of 8;

Fraction of water = $\frac{7}{8}$

Fraction of cleaner = $\frac{1}{8}$

Knowing the fractions, find the quantity of cleaner in ml out of a total of 400-ml;

Cleaner = (1/8 )*400 = 50ml

Therefore, Ava needs to add 50ml of cleaner.

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Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 18

UkoKoshka [18]

Answer:

3/26

Step-by-step explanation:

Probability of the first box to have the secret decoder ring is 18 out of 52:

18/52= 9/26

Probability of the second box to have the ring is 17 out of 51, because one box with the ring already selected and not counted:

17/51= 1/3

Probability that both of them have the secret decoder ring:

9/26*1/3= 3/26

So the answer is 3/26

4 0

3 years ago

The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot gives the length of the side, s, of a cube with a surface

never [62]

Answer:

$2\sqrt{2}\ ft\ longer$

Step-by-step explanation:

Area Of A Cube

Suppose a cube with side length s, the area of one side is

$A_s=s^2$

Since the cube has 6 sides, the total area is

$A=6A_s=6s^2$

But if we have the area, we can solve the above formula for s to get

$A=6s^2$

$\displaystyle s=\sqrt{\frac{A}{6}}$

We have two different cubes with areas 1,200 square inches and 768 square inches. Let's compute their side lengths

$\displaystyle s_1=\sqrt{\frac{1,200}{6}}=\sqrt{200}$

$\displaystyle s_1=10\sqrt{2}\ ft$

$\displaystyle s_2=\sqrt{\frac{768}{6}}=\sqrt{128}$

$\displaystyle s_2=8\sqrt{2} ft$

The difference between them is

$10\sqrt{2}\ ft-8\sqrt{2}\ ft=2\sqrt{2}\ ft\approx 2.83\ ft$

The side of the cube with area 1,200 square inches is $2\sqrt{2}\ ft$ longer then the side of the cube with area 768 square inches

7 0

3 years ago

Read 2 more answers

Define standard of living and summarize in your own words the relationship between standard of living, cost of living, and stage

svetlana [45]

Standard of living refers to the level of wealth, comfort, material goods and necessities available to a certain socioeconomic class or geographic area. Cost of living is the amount of money needed to cover basic expenses such as housing, food, taxes, and healthcare in a certain place and time period. Stage of life refers to the different phases of life that all individuals pass through in a normal lifetime.

8 0

3 years ago

The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.

blondinia [14]

Answer:

Find out the what function equation represents the population of the city after t years .

To prove

The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.

This can be represented by exponential decreasing function.

$f(t) = a (1 - r)^{t}$

Where a is the initial value.

r is the rate in decimal form

t is the time.

Here

a = 451,400

3.2 % is written in the decimal form.

$= \frac{3.2}{100}$

= 0.032

Put in the formula

$f(t) = 451400 (1 - 0.032)^{t}$

$f(t) = 451400 (0.968)^{t}$

Therefore the decrease in the population of the city after t years is represented by

$f(t) = 451400 (0.968)^{t}$

5 0

3 years ago

Read 2 more answers

I need help please slope

loris [4]

Answer:

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1 where y2 and x2 are the x and y coordinates from a coordinate pair and y1 and x1 are the coordinates from another coordinate pair. In this case, 2 coordinate pairs are given: (30,75) and (10, 35) 75-35/30-10 would be your slope, or, 40/20, or simplified, 2.

Your slope is 2

3 0

3 years ago