It takes 9 minutes to fill an empty aquarium of a depth of 3/5 meters. What is the unit rate in minutes per meter?

Answer:

2x^3 + 3x - 10

Step-by-step explanation:

Answer: He needs 3 stripes.

Final answer:

To cover the perimeter of a 14 feet by 10 feet room, Jim will need 3 strips of wallpaper border as the total perimeter is 48 feet and each wallpaper strip is 20 feet long.

Explanation:

To determine how many strips of wallpaper border Jim will need for his rectangular room, we need to calculate the total perimeter of the room. The formula for the perimeter of a rectangle is:

Perimeter = 2 × (Length + Width)

For Jim's room:

Perimeter = 2 × (14 feet + 10 feet)

Perimeter = 2 × 24 feet

Perimeter = 48 feet

Now, we know each strip of wallpaper is 20 feet long, so we divide the total perimeter by the length of one strip:

Number of strips needed = Total Perimeter ÷ Length of one strip

Number of strips needed = 48 feet ÷ 20 feet

Number of strips needed = 2.4

Since Jim cannot purchase a fraction of a strip, he will need to buy 3 strips of wallpaper border to cover the entire perimeter of his room.

Note: It's assumed that there's no significant wastage when the wallpaper strips are applied, and the strips are used efficiently.

the answer is 350.50, the 4th answer

Answer:

y = 4x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = 4x + 6 ← equation of line

Answer:

The answer is [tex]10\frac{1}{2}\ per\ hour.[/tex]

Step-by-step explanation:

Given:

Darcy harvest 8 3/4 acres of corn every 5/6 of an hour.

Now, to find the acres per hour it takes to harvest.

Darcy harvest = [tex]8\frac{3}{4}=\frac{35}{4}\ acres.[/tex]

The time he took to harvest = [tex]\frac{5}{6}\ hour.[/tex]

So, to get the acres per hour we put formula:

[tex]Distance = \frac{35}{4}\ acres.[/tex]

[tex]Time=\frac{5}{6}\ hour.[/tex]

[tex]Speed=\frac{distance}{time}[/tex]

[tex]Speed=\frac{\frac{35}{4}}{\frac{5}{6}}[/tex]

[tex]Speed=\frac{35}{4}\times \frac{6}{5}[/tex]

[tex]Speed=\frac{210}{20}[/tex]

[tex]Speed=\frac{21}{2}[/tex]

[tex]Speed=10\frac{1}{2}\ per\ hour.[/tex]

Therefore, the answer is [tex]10\frac{1}{2}\ per\ hour.[/tex]

Answer:

3 teaspoons of salt is needed to cook the recipe for 8 people.

The correct option is d. 3 teaspoons.

Step-by-step explanation:

Given:

Mike has a recipe that feeds one person that calls for 3/8 teaspoon of salt.

Now, to find the quantity of salt is needed to cook the recipe for 8 people.

As, given the unit rate is:

[tex]\frac{3}{8}[/tex]  teaspoon salt per person.

So, to get the salt needed to cook for 8 people we multiply 8 by [tex]\frac{3}{8}[/tex]  :

[tex]8\times \frac{3}{8}[/tex]

[tex]=\frac{24}{8}[/tex]

[tex]=3\ teaspoons.[/tex]

Therefore, 3 teaspoons of salt is needed to cook the recipe for 8 people.

The correct option is d. 3 teaspoons.

Answer:

255

Step-by-step explanation:

234+(564-543)

234+(21)

234+21

255

V = Abxh/3 = (12cmx12cm)x8cm/3 = 144cm²x8cm/3 = 384 cm³

Answer:

384 cm³

Step-by-step explanation:

Volume = a^2(h/3)

a = base edge = 12 cm

h = height of pyramid = 8 cm

Volume = 12^2*(8/3)

Volume = 144*(8/3)

Volume = 48*8

Volume = 384 cm³

The value of W is 0.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which is dependent on the context.

for example, a+23 = 105, a²+b²+10a =100, etc.

12×1= 12+W​

W = ?

[tex]12\times 1= 12+W\\12 = 12+W\\12-12 = W\\W =0[/tex]

Hence, the value of W is 0.

Learn more about expressions:

https://brainly.com/question/13947055

Answer:

N(number of songs) times 0.99 equals to 7.92. N×0.99=7.92

n= number of songs

product=*

n*0.99=7.92

if you need the answer it would be 6.93

Answer:

These rates DO NOT  form a proportion.

Step-by-step explanation:

Two quantities P and Q are said to be in proportion is and only if:

[tex]\frac{P}{Q} = k[/tex]  for all values of P and Q.

here, k = Proportionality Constant.

Case 1: when P =  21 miles , Q  = 6 hours

[tex]\frac{P}{Q} = \frac{21}{6} = 3.5[/tex]

⇒  k 1 = 3.5

Case 2: when P =  14.3 miles , Q  = 3 hours

[tex]\frac{P}{Q} = \frac{14.3}{3} = 4.76[/tex]

⇒  k 2 = 4.76

As we can see in both the cases, k 1 ≠ k 2

Hence, P is NOT PROPORTIONAL to Q.

So, these rates DO NOT  form a proportion.

Subtract the entire equation by 3: 3x = 12

Lastly, divide by 3 to get x alone: x = 4

Answer: 4

Step-by-step explanation:

3x+3=15

    -3 -3

3x    12

3      3

x= 4

Answer Problem 1: 3*(y+4)

Show Work:

1) y = (1/3)*x-4 // - (1/3)*x-4

2)  y-((1/3)*x)+4 = 0

3) (-1/3)*x+y+4 = 0

4)  y-1/3*x+4 = 0 // - y+4

5)  -1/3*x = -(y+4) // : -1/3

6)  x = (-(y+4))/(-1/3)

7)  x = 3*(y+4)

8) x = 3*(y+4)

Answer Problem 2: Y=-7/12

Show Work:

Step 1: Flip the equation.

7/3 x+4=y

Step 2: Add -4 to both sides.

7/3x+4+−4=y+−4

7/3x=y−4

Step 3: Divide both sides by 7/3.

Answer:

Step-by-step explanation:

Rent cost 7.50

For x days the rent to pay = 7.50×n

= 7.50n

Answer:

7x-7

Step-by-step explanation:

6x-(-x) double negative --> add

7x

-2-5= -7

Answer:

7x-7

Step-by-step explanation:

Let's simplify step-by-step.

6x−2−(−x+5)

Distribute the Negative Sign:

=6x−2+−1(−x+5)

=6x+−2+−1(−x)+(−1)(5)

=6x+−2+x+−5

Combine Like Terms:

=6x+−2+x+−5

=(6x+x)+(−2+−5)

=7x+−7

Answer:

72 feet is the answer. The shadow of the 63 ft tower.

To find the shadow length of a 63-foot building given a 7-foot stop sign's 8-foot shadow, a proportion is used, resulting in a shadow length of 72 feet.

A student asked how to find the length of the shadow cast by a 63-foot tall building given that a 7-foot tall stop sign casts an 8-foot long shadow. This problem can be solved using simple proportions since the ratio of the height of an object to the length of its shadow is constant when the sun's angle is constant. The proportion is as follows: height of stop sign / length of stop sign's shadow = height of building / length of building's shadow. Plugging in the numbers: 7 / 8 = 63 / x, where x is the length of the building's shadow. Solving for x, we find that x = 8 * 63 / 7 = 72. Therefore, the length of the shadow cast by the 63-foot tall building is 72 feet.

Answer:

D

Step-by-step explanation:

Given the equation y = 3x - 9

Check each of the given equations

A

y = 3(x - 9) ← distribute

   = 3x - 27 ≠ 3x - 9 ← False

B

y = [tex]\frac{1}{3}[/tex](x - 3) ← distribute

   = [tex]\frac{1}{3}[/tex] x - 1 ≠ 3x - 9 ← False

C

y = [tex]\frac{1}{3}[/tex](x - 27) ← distribute

  = [tex]\frac{1}{3}[/tex] x - 9 ≠ 3x - 9 ← False

D

y = 3(x - 3) ← distribute

  = 3x - 9 ← True

Answer:

22

Step-by-step explanation:

7+7+4+4=22

Answer:

x² - 5x + 4

Step-by-step explanation:

Note that (p - q)(x) = p(x) - q(x)

p(x) - q(x)

= x² - 1 - 5(x - 1) ← distribute

= x² - 1 - 5x + 5 ← collect like terms

= x² - 5x + 4

Answer:

1. 192 books.

2. 96 books.

3. 24 books.

Step-by-step explanation:

1. Let's find the volume of each book and the volume of the box, this way:

Volume of a book = 4 * 6 * 1 = 24 inches ³

Volume of the box = 24 * 24 * 8 = 4,608 inches ³

2. If Hardy fills the box completely, what is the greatest number of books that fit into the box?

Greatest number of books = Volume of the box/Volume of a book

Greatest number of books = 4,608/24

Greatest number of books = 192

3. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.

The height of the box is 8 inches, so it can only can hold 2 or 8 layers of books, since the books are 4 * 6 * 1 inches.

Greatest number of layers = Height of the box/Width of a book

Greatest number of layers = 8/1 = 8

Minimum number of layers = Height of the box/Height of a book

Minimum number of layers = 8/4 = 2

Upon saying that, we have:

Number of books per layer = Greatest number of books/Minimum number of layers

Number of books per layer = 192/2 = 96

4. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.

Number of books per layer = Greatest number of books/Number of layers

Number of books per layer = 192/8

Number of books per layer = 24

Answer:

The second choice

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.971

This is the correct answer.

Answer: 3.12 x 10^-3

Step-by-step explanation:

Answer:

The graph that passes through (-3,-3), (-3,0), and (-3,3) does not represents a linear function.

Step-by-step explanation:

The graph that passes through (-3,-3), (-3,0), and (-3,3) does not represents a linear function. Because if we tried to find the slope for either two pairs of these coordinates. The slope would equal infinity

Lets say we find the slope of (-3,-3) and (-3,0)

[tex]\frac{-3-0}{(-3)-(-3)} =\frac{-3}{0}[/tex]  Slope = [tex]\infty}[/tex]

Now lets say we find the slope of (-3,0) and (-3,3)

[tex]\frac{0-3}{(-3)-(-3)} =\frac{-3}{0}[/tex] Slope = [tex]\infty[/tex]

So now we can see that both lines of each slope is parallel to the y-axis which means that the lines a Undefined Slope (also known as Infinite Slope).

Answer: 5/6

Step-by-step explanation:

All we need do is to try to change 50 minutes to hour.

Remember that 60 minutes make 1 hour , so we need to find 50 minutes out of 1 hour , that is 50 minutes out of 60 minutes. Which is 50/60. Therefore:

50 minutes is 50/60 fraction of an hour

50/ 60 is the same as 5/6 in reduced form

Answer:

Step-by-step explanation:

1hour is 60minutes

= 50/60

= 5/6

Answer:

  $1343

Step-by-step explanation:

After subtracting 15% from 100% of the original price, the price Mr. Quick paid is 85% of the original price.

  0.85 × 1580 = 1343

Mr. Quick paid 1343 for his computer.

Answer:

The correct option is last one  77 degrees.

Therefore the measure angle W is 77 degrees.

Step-by-step explanation:

Given:

Exterior angle = 122°

∠W = (2x-13)°

∠Y= x°

To Find:

∠W = (2x-13)° = ?

Solution:

Exterior Angle Property:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Angle W and Angle Y are the interior angles of Exterior angle 122°.

∴ [tex]Exterior\ angle=m\angle W+m\angle Y[/tex]

Substituting the values we get

[tex]122=2x-13+x\\3x=135\\\\x=\dfrac{135}{3}=45\\\\x=45[/tex]

Now Substitute 'x' in angle W we get

[tex]m\angle W=2\times 45 -13=77\°[/tex]

Therefore the measure angle W is 77 degrees.

Answer:

77 is the answer

Step-by-step explanation:

Answer:

40 pounds

Step-by-step explanation:

I see no ratios shown above so I guessed

[tex]2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}[/tex]

Solution:

Given expression is [tex]2\frac{3}{4}+3 \frac{5}{8}[/tex].

To simplify the expression [tex]2\frac{3}{4}+3 \frac{5}{8}.[/tex]

Let us first convert the mixed fraction into improper fraction.

[tex]2\frac{3}{4}+3 \frac{5}{8}=\frac{(2\times 4) + 3}{4}+ \frac{(3 \times 8)+5}{8}[/tex]

            [tex]=\frac{8+ 3}{4}+ \frac{24+5}{8}[/tex]

            [tex]=\frac{11}{4}+ \frac{29}{8}[/tex]

Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.

            [tex]=\frac{11\times2}{4\times 2}+ \frac{29\times1}{8\times1}[/tex]

            [tex]=\frac{22}{8}+ \frac{29}{8}[/tex]

            [tex]=\frac{51}{8}[/tex]

Now, divide 51 by 8 and again write it in the mixed fraction.

             [tex]=6\frac{3}{8}[/tex]

[tex]2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}[/tex]

Hence, the simplified answer is [tex]6\frac{3}{8}[/tex].

Answer:

73.12 yd²

Step-by-step explanation:

Find the triangle first

A=½bh

a=½×12×8

a=6×8

a=48->triangle

semicircle=

a=½×pi×r²

a=½×3.14×4²

a=½×3.14×16

a=8×3.14

a=25.12

add these two

48+25.12=73.12 yd²

There are 175 pages in the book.

Step-by-step explanation:

Given,

Pages read by Elena = 55 pages

Let,

x be the number of pages of book.

Pages read by Andre = [tex]\frac{1}{5}\ of\ total\ pages = \frac{1}{5}x[/tex]

As Elena has read 20 more pages than Andre, therefore,

[tex]\frac{1}{5}x+20=55\\\\\frac{1}{5}x=55-20\\\\\frac{1}{5}x=35[/tex]

Multiplying both sides by 5

[tex]5*\frac{1}{5}x=35*5\\\\x=175[/tex]

There are 175 pages in the book.

Keywords: fraction, variable

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