Due 10/2
for School: Practice & Problem Solving
X 1.9.PS-16
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5
Challenge Between 9 P.M. and 6:10 A.M., the water level in a swimming pool decreased by in.
24
Assuming that the water level decreased at a constant rate, how much did the water level drop
each hour?
The water level decreased by in. each hour.
(Simplify your answer. Type an integer, proper fraction, or mixed number.)
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Answer:

Step-by-step explanation:

1)

We know that if [tex]x^2=9[/tex], then [tex]x=\pm \sqrt{9}[/tex], so [tex]\boxed{x=3,-3}[/tex]

2)

We know that if [tex]x^3=8[/tex], then [tex]x=\sqrt[3]{8}[/tex], so [tex]\boxed{x=2}[/tex]

3)

[tex]x^3=\frac{1}{8}[/tex] means that [tex]x=\sqrt[3]{\frac{1}{8}}=\frac{\sqrt[3]{1}}{\sqrt[3]{8}}=\frac{1}{2}[/tex].

So, [tex]\boxed{x=\frac{1}{2}}[/tex].

4)

[tex]x^3=27[/tex] means that [tex]x=\sqrt[3]{27}=\sqrt[3]{3^3}=3[/tex].

So, [tex]\boxed{x=3}[/tex].

5)

[tex]x^2=25[/tex] means that [tex]x=\pm \sqrt{25}=\pm \sqrt{5^2}=\pm 5[/tex].

So, [tex]x=5,-5[/tex].

6)

We know that the side length of the square will be [tex]\sqrt{\frac{9}{16}}=\frac{\sqrt{9}}{\sqrt{16}}=\boxed{\frac{3}{4}}[/tex].

7)

[tex]6x^2=54[/tex] means that [tex]x^2=9[/tex], which means that [tex]\boxed{x=3,-3}[/tex].

8)

[tex]2x^2+25=75[/tex] means that [tex]2x^2=50[/tex], which means that [tex]x^2=25[/tex], which means that [tex]\boxed{x=5,-5}[/tex]

Answer:

The coordinates of A" are (4, 2)

Step-by-step explanation:

Answer:

y = -3x + 5

Step-by-step explanation:

y = -3x + b

-1 = -3(2) + b

-1 = -6 + b

5 = b

Answer:

[tex]log_{4}(\frac{2x}{6y})[/tex]

Step-by-step explanation:

According to the Quotient Rule (Logarithmic Property):

[tex]log_{a}x - log_{a}y = log_{a}(\frac{x}{y})[/tex]

Therefore, you could combine the logarithmic expressions as:

[tex]log_{4}2x - log_{4}6y = log_{4}(\frac{2x}{6y})[/tex]

Optional:

If ever you're required to simplify it further, [tex]log_{4}(\frac{2x}{6y})[/tex] will be:

[tex]log_{4}(\frac{2x}{6y}) = log_{4}(\frac{x}{3y})[/tex]

Distance is the product of speed and time. Hence, the distance covered by Leika is 12k - 72 miles.

Given that :

Recall :

Distance covered by Leila can be calculated thus :

Distance = 12 × (k - 6)

Distance = 12k - 72

Therefore, the distance covered by Leila is 12k - 72 miles.

Learn more : https://brainly.com/question/18796573

For the time k less than 6 hours, the distance that Leila travel is less than 72 miles.

The given parameters;

The maximum distance that Leila can travel in a time less than 6 hours is calculated as follows;

Distance < speed x time

Distance < 12 mph x 6 hours

Distance < 72 miles

Thus, for the time k less than 6 hours, the distance that Leila travel is less than 72 miles.

Learn more here:https://brainly.com/question/17859945

Answer:

[tex] \sqrt{97} \div 6[/tex]

Answer:

3 3/47

Step-by-step explanation:

94/288 reduced and simplified

94( ÷2)

------

288( ÷2)

=

47/144

now convert this to a mixed number which is

3 3/47

Hope this helped you- have a good day bro cya)

Answer: 3.5 years

Step-by-step explanation:  Let A be the salaries earned from company A for x years and B for company B for the same years.

A = 31000 + n*3000

B = 38000 + n*1000

To find the case where A = b, set them to each other and solve for n, the number of years.

31000 + n*3000 = 38000 + n*1000

2000n = 7000

n = (7000/2000) = 3.5 years.

A B

0 31000 38000

1 34000 39000

2 37000 40000

3 40000 41000

4 43000 42000

5 46000 43000

6 49000 44000

7 52000 45000

Answer:

you can always use sin or cos or tan in these situations

Answer:

85+x=153

Step-by-step explanation:

So basically, Victor made an unknown amount of snowballs after lunch, and you need to find the amount. You can represent the unknown as the variable x. Then, you get the equation 85+x=153

The equation used to find the number of snowballs s Victor and his friends make after lunch is s + 85 = 153.

Given data:

Victor and his friends are preparing for an epic snowball fight. They make 85 snowballs before Victor's dad calls them in for lunch. After lunch, they make more snowballs. In all, Victor and his friends make 153 snowballs.

Now , the equation to find the number of snowballs Victor and his friends make after lunch is determined as :

s + 85 = 153

In this equation, "s" represents the number of snowballs they make after lunch. The equation states that the sum of the snowballs made before lunch ("85") and the snowballs made after lunch ("s") is equal to the total number of snowballs they made ("153").

Hence, the equation is s + 85 = 153

To learn more about equations, refer:

https://brainly.com/question/19297665

#SPJ3

Answer:

1 2/8 (simplified 1/4)

Step-by-step explanation:

Well indicating that you have to add

7/8+3/8

7+3= 10

don't add the bottom numbers

10/8 simplify that

1 2/8

simplify

2/8, which is 1/4

Gives you the answer of

1 1/4

Answer:

1 1/4

Step-by-step explanation:

[tex]\frac{7}{8}+\frac{3}{8} = \frac{10}{8}= 1\frac{2}{8}divided by 2 = 1\frac{1}{4}[/tex]

Step-by-step explanation:

I think you are missing the square root signs or so in the answer options.

the distance between 2 points is calculated by using Pythagoras for right-angled triangles.

c² = a² + b²

c is the Hypotenuse of the triangle and the distance between the points, which are the end points of the Hypotenuse.

a and b are the legs and enclose the 90 degree angle. they are the differences of the x and y coordinates between the 2 points.

so,

distance² = (1 - -7)² + (6 - 3)² = 8² + 3² = 64+9 = 73

=>

distance = sqrt(73)

Answer:

x,y,x = 2,4, -3

Step-by-step explanation:

Answer:

the answer is 145°

Step-by-step explanation:

seeing as the two largest angles are 50° and 95° we add them and the answer is 145°

that's what I think :)

Answer:

17. i

18. a

19. g

20. d

21. h

22. j

23. b

24. f

25. c

26. e

Answer:

He would have received $33 if he exchanged 22 dinars

Step-by-step explanation:

Answer:

x=-2 or x=3

Step-by-step explanation:

2(-2)+4=0

3-3=0

Answer:

Yes

Step-by-step explanation:

First off, let's use an example with the same equivalence:

[tex]\frac{12}{36} =\frac{16}{48}[/tex]

If you divide the denominator by the numerator you have to get 3, otherwise, it's not equivalent.

The constant of proportionality between the denominator and the numerator, if we use x and y, is:

[tex]y=3x[/tex]

So, just like the example and explanation I used, 3 divided 1 is 3 and 6 divided by 2 is 3.

Answer:

Yes, the 2 cups of mango and 6 cups of strawberries are equivalent.

Step-by-step explanation:

The question is based on ratios. Ratios are basically the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. In this instance, you're altering the quantity by 2. So the 1 cup of mangoes becomes 2 cups of mangoes and the 3 cups of strawberries becomes 6 cups.

Another example of this could be:

In the store, for every 1 man there are 4 women. So if you change the amount of men in the store from 1 to 2, the quantity of women would go from 4 to 8.

Answer:

d) (6, 0)

Step-by-step explanation:

y = -2/12 = -1/6x - 4 = y

New line = y = -1/6x + 6

Plug and test!

0 = -1/6(6) + 6

0 does indeed equal 0

Answer:

Here we will show you step-by-step with detailed explanation how to calculate 35 divided by 10 using long division.

Before you continue, note that in the problem 35 divided by 10, the numbers are defined as follows:

35 = dividend

10 = divisor

Step-by-step explanation:

ywy

The solution to the expression 35 divided by 10 is 3.5

Given data:

The first number is represented as p.

The value of p = 35

The second number is represented as q.

The value of q = 10

Now, the expression is 35 divided by 10

So, [tex]A=\frac{p}{q}[/tex]

To solve 35 divided by 10, yu perform the division operation as follows:

Divide 35 by 10:

35 ÷ 10 = 3.5

Hence, 35 divided by 10 equals 3.5.

To learn more about equations, refer:

https://brainly.com/question/19297665

#SPJ6

Answer:

c

Step-by-step explanation:

Answer:

Domain my guy is 8

Step-by-step explanation:

why? because I just 8 that answer, OOOOHHHHHHHHHHH!!!!!!!!!

Answer:

a pattern that we can turn a pattern by some degree about a point and the pattern looks exactly the same

Step-by-step explanation:

Many geometrical shapes appear to be symmetrical when they are rotated 180 degrees or with some angles, clockwise or anticlockwise

Answer:

8

Step-by-step explanation: