Convert 170 gallons into cubic feet. Round
your answer to the nearest tenth.
*Note: you must use these exact conversion factors to
get this question right.

The length and width of the rectangle is 16 ft and 13 ft respectively.

The perimeter of a rectangle = 2(length + width)

The perimeter of a rectangle = 2(length + width)

58 = 2{(w + 3) + w}

58 = 2(w + 3 + w)

58 = 2(3 + 2w)

open parenthesis

58 = 6 + 4w

subtract 6 from both sides

58 - 6 = 4w

52 = 4w

divide both sides by 4

w = 52/4

w = 13

Hence,

Width of the rectangle = w ft

= 13 ft

Length of the rectangle = (w + 3) ft

= 13 + 3

= 16 ft

Therefore, the dimensions of the rectangle is given by 16 ft and 13 ft respectively

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Answer:

[tex]\huge\boxed{\sf \$ \ 11.52}[/tex]

Step-by-step explanation:

12 bottles of juice = $8.64

Divide 12 to both sides

12/12 bottle of juice = $8.64/12

1 bottle of juice = $0.72

Multiply 16 to both sides

1 × 16 bottles of juice = $0.72 × 16

[tex]\rule[225]{225}{2}[/tex]

Answer: 9 seconds

hope it was helpful (^ = ^)

Step-by-step explanation:

x=number of seconds

100m/6s=150/x

Cross multiply and make x the subject

100m(x)=150m(6s)

x=(150m x 6s)/100m = 9s

therefore it would take the cheetah 9 seconds to run the 150m

Actually 20 is the answer

Answer: 19

Step-by-step explanation:

9x6= 54

So there’s 54 hot dogs in total

Subtract the amount left

54-35= 19

There are 19 hot dogs left

Hope this helps!

Answer:

t = 1.195pounds.

Step-by-step explanation:

The cost per pound of Turkey and Ham are: 1.195pounds and 1.733pounds respectively.

By observing the question, we must notice this is a word problem and can be written mathematically thus;

For Casey:

15.4t + 11.6h = 38.51

For Jane:

10.2t + 7.3h = 24.84

Therefore, to find the cost per pound of Turkey and Ham, the pair of equations need to be solved simultaneously.

Therefore, we can make t the subject of the formula in equation (2) as follows;

t = (24.84 - 7.3h)/10.2

Therefore, we can substitute the value of t into equation (1) to get;

15.4{(24.84 - 7.3h)/10.2} + 11.6h = 38.51

37.51 - 11.023h + 11.6h = 38.51

0.577h = 1

h = 1.733pounds

Therefore, by substituting the value of h into equation 1, we get the value of t to be;

t = 1.195pounds.

Answer:

227

Step-by-step explanation:

just divide it by how many times it goes into 1135

Answer:

227

Step-by-step explanation:

The solution is Option D.

The equation of the line is y = 28x

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the total distance traveled by the car y = 476 miles

Let the total amount of gasoline x = 17 gallons

So , the equation of line is given by

y = mx + c

where m is the slope

Slope m = y /x

Substituting the value for y and x in the equation , we get

Slope m = 476 / 17

              = 28

Therefore , the equation of line is y = 28x  and the graph is given below

Hence , The equation of the line is y = 28x

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Part a: the LCD is measured to be 96 utilizing the inspection method.

Part b: By division of prime numbers: 96.

The given number are-

1/4, 3/32, 5/48, and 1/8

Part a:

Find the multiples of the provided fractions' denominators, which are 4, 32, 48, and 8.

4 = 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88, 92, 96.

32 = 32, 64, 96, 128, 160, 192, 224, 256, 288 ,320.

48 = 48, 96, 144, 192, 240, 288, 336, 384, 432 and 480.

8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

The computation shows that 96, which really is divisible by 4, 32, 48, and 8, is the lowest common multiple.

As a result, the LCD is measured to be 96 utilizing the inspection method.

Part b: By division of prime numbers:

Determine the factors of the given fractions' denominators, 4, 32, 48, and 8.

4 = 2, 2

32 =  2, 2, 2, 2 and 2.

48 = 2, 2, 2, 2 and 3.

8 = 2, 2 and 2.

The generated number, 96, can be divided by the provided fractions' denominators.

As a result, the outcome is 96.

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Answer:3/4 * 1/5 = 3/20 = 0.15

Step-by-step explanation:Multiple: 3/

4 * 1/5 = 3 · 1/4 · 5 = 3/20

Multiply both numerators and denominators. The result fraction keep to the lowest possible denominator GCD(3, 20) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - three quarters multiplied by one-fifth is three twentieths.

Answer:

1,406

Step-by-step explanation:

Answer:

13 years

Step-by-step explanation:

The linear equation parallel to y = -12x - 72 that passes through (-2, 0) is:

y = -12x - 24

A general linear equation is written as:

y = m*x + b

Where m is the slope, and b is the y-intercept.

And two lines are parallel only if the lines have the same slope and a different y-intercept.

So, if we want to find a line parallel to:

y = -12x - 72

Then the slope of our line must be -12, then our line is something like:

y = -12x + b

Now we know that the line must pass through (-2, 0), replacing that in our line we get:

0 = -12*-2 + b

0 = 24 + b

-24 = b

The linear equation is:

y = -12x - 24

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Answer:

f(x) * g(x) = -10x2 - 48x - 54

Step-by-step explanation:

(2x+6) * (-5x-9)

-10x2 - 18x - 30x - 54

-10x2 - 48x - 54

Answer:

length = 15ft

width = 11ft

Step-by-step explanation:

p = 2L + 2w = 52ft

w = L - 4

Substitute: 2L + 2(L-4) = 52

Simplify and solve:

  2L + 2L - 8 = 52

  4L - 8 = 52

  4L = 60

  L = 15

  w = 15-4 = 11

Check:

2(15) + 2(11) = 52?

30 + 22 = 52!!!

Answer:

Please look at the attached image, thank you so much! Hope this helps! :D

Step-by-step explanation:

Answer:

6.92820323028, rounded would be 6.92. Even more rounded would be 7.

Step-by-step explanation:

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The volume of the jewelry box will be;

⇒ 343 inch³

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The volume of a cube with side s = s³

And, Edna bought a cube-shaped jewelry box that has 7-inch sides.

Now,

Since,  Edna bought a cube-shaped jewelry box that has 7-inch sides.

Hence, The volume of the jewelry box = 7³

                                                           = 7 x 7 x 7

                                                           = 343 inch³

Thus, The volume of the jewelry box will be;

⇒ 343 inch³

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The value of the equation f ( x ) is

f ( x ) = x³ + x² - 8x - 12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = ( x + 2 )²( x -3 )   be equation (1)

Now , on simplifying the equation , we get

f ( x ) = ( x + 2 )²( x -3 )

f ( x ) = ( x² + 4x + 4 ) ( x - 3 )

Now , multiplying each term with ( x - 3 ) , we get

f ( x ) = ( x - 3 ) x² + ( x - 3 ) 4x + ( x - 3 ) 4

f ( x ) = x³ - 3x² + 4x² - 12x + 4x - 12

On simplifying the equation ,we get

f ( x ) = x³ + x² - 8x - 12

Now , the value of the equation f ( x ) = x³ + x² - 8x - 12

On graphing the equation , we get

The graph of the equation f ( x ) = x³ + x² - 8x - 12 is shown below

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The cost of 3 and 1/2 pounds of almond at the same rate is $26.60.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In the illustration given as m/n, it should be noted that m is the numerator and n is the denominator.

Since the price for 7/8 of a pound of almonds is $6.65, the fraction per pound will be done by dividing the amount for a pound by 7/8.

= $6.65 ÷ 7/8

= $7.6

The cost of 3 and 1/2 pounds at the same rate is:

= 3 1/2 × $7.6

= $26.60

In conclusion, the cost is $26.60.

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15 seconds of time will it take him to get one-third of the way to his car

The length along a line or line segment between two points on the line or line segment.

Given,

Patrick is in a grocery store parking lot, 90meters away from his car

Patrick pushes his shopping cart at a constant velocity of 2meterspersecond toward his car.

We need to find time will it take him to get one-third of the way to his car

one-third of the way to his car means 1/3 of 90 which is 30 meters.

Speed =Distance/ Time

Time=Distance/speed

=30/2

=15 units.

Hence, 15 seconds of time will it take him to get one-third of the way to his car

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Answer:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Step-by-step explanation:

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.Given the parent functionf(x) = 4xIf the function is not reflected over x-axis, the resulting function will be f(x) = -4xIf the resulting function is compressed by a factors of 1/8, hence the final function rule will be;g(x) = 1/8(-4x)g(x) = -1/2xHence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

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In the given triangle, the length of side t is 87.7 cm

From the question, we are to determine the length of t.

From the given information,

r = 71 cm

∠T = 48°

∠R = 37°

From the law of sines, we can write that

t / sin T = r / sin R

t / sin 48° = 71/sin 37°

t = (71 × sin 48°)/sin 37°

t = 87.6736

t ≈ 87.7 cm

Hence, the length of t is 87.7 cm

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The combination of beads that the student will use to make a model of  magnesium hydroxide, Mg(OH)₂ is

Molecule models depict the positions of the various atoms, roughly to scale, and typically with color coding, as well as how they are joined together.

These models are helpful tools for visualizing the structures and shapes of groupings of atoms, which is vital for understanding the behavior of molecules

Over the course of the development of contemporary atomic theory, models have been employed to represent atom configurations.

The model of magnesium hydroxide, Mg(OH)₂ will require the atoms in the ratio:

Magnesium : Oxygen : Hydrogen = 1 : 2 : 2

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Answer: 80

Step-by-step explanation:

You have 120 miles in one and a half hour

120÷1 1\2 =80 is your speed

Answer:In this concept, you will learn to solve real-world problems by writing and solving single-variable equations.

Step-by-step explanation:In this concept, you will learn to solve real-world problems by writing and solving single-variable equations.

hope it helps

:)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of u is 4/3

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2u - 2/3 = -(3/4)u + 3

Add 2/3 on both sides.

2u = -(3/4)u + 3 + 2/3

Add (3/4)u on both sides.

2u + (3/4)u = 3 + 2/3

(8u + 3u) / 4 = (9 + 2)/3

11u/4 = 11/3

u/4 = 1/3

u = 4/3

Thus,

The value of u is 4/3

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Answer:

Step-by-step explanation:

Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. 5x2 + 14x - 3 < 0 The solution set is O A. (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) O B. The solution set is the empty set. Which number line below shows the graph of the solution set? O A. В. + -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 7 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4. 7 8 C. + + + + + + + D. + -8 -7 -6 -5 -4 -3 -2 -1 1 3 4 7 8 -8 -7 -6 -5 -4 -3 -2 -1 1 3 4 5 7 8 E. F. + + + + -7 -6 -3 -2 -1 1 2 3 6 -8 -7 -6 -5 -4 -3 -2 -1 1 3 5 6 7 8 OG. →O H.

Answer: 70%

Step-by-step explanation:

0.7
----- x 100% = 70%

 1

Answer:

70%

Step-by-step explanation:

When turning a decimal into a percent always bring the decimal point two places to the right.

0.7.0.

070%

70%

Answer: Thousand  Liters

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

0.7/0.14

7/10×100/14

7×100/10×14

5