The equation y = 3.5x represents the rate, in miles
per hour, at which Laura walks.
The graph at right represents the rate at
which Piyush walks. Determine who walks
faster. Explain.

Answer:

It is equivalent to a decimal that does not terminate.

Step-by-step explanation:

When you divide 1 by 3, you get 0.33333333333333333333333333333333333333333333333333333 forever. The decimal never ends.

If you wanna round 13822 to 1 significant figure you will need to find the nearest 10k, which is 10000 in this case

10000 = 1 . 10^4

That means

13822 ≈ 1 . 10^4 = 1(overline)0000

The Significant Figures will be 5 if the number is 13822 after using the definition of the Significant Figures the answer is 5.

Significant digits are the figures in a number that express the value -the size of a quantity to a specified degree of accuracy.

It is given that:

13822 to 1 significant figure

The number is 13822

Answer: 13822  

Significant Figures: 5

Decimals: 0

Scientific Notation: 1.3822e+4

Thus, the Significant Figures will be 5 if the number is 13822 after using the definition of the Significant Figures the answer is 5.

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Ans:

The solve for x:

2.41x+3.65(248-x)=622.48

2.41x+3.65×248-3.65x=622.48

2.41x-3.65x+905.2=622.48

-1.24x=622.48-905.2

-1.24x= -282.72

x= -282.72÷ -1.24

x=228

Pounds of nuts nper pound $2.41should be included:

228× $2.41

=549.48

Hope it Helps!

The grocer should include approximately 227.84 pounds of the nuts that cost $2.41 per pound.

The grocer is trying to find the right balance of two kinds of nuts to reach a desired price point for a mix. The equation provided should be solved for x, which represents the number of pounds of nuts costing $2.41 per pound. Here is a step-by-step solution:

Begin with the given equation: 2.41x + 3.65(248 - x) = 622.48.

Distribute 3.65 across the parentheses: 2.41x + 3.65 * 248 - 3.65x = 622.48.

Combine like terms: -1.24x + 904.80 = 622.48.

Subtract 904.80 from both sides of the equation: -1.24x = -282.32.

Divide both sides by -1.24 to find x: x = 227.84.

So, the grocer should include approximately 227.84 pounds of the nuts that cost $2.41 per pound.

Answer:

[tex]- \frac{1}{2}[/tex]

Step-by-step explanation:

6x+7=4

6x+7-7=4-7

6x=-3

[tex]\frac{6x}{6}[/tex]=[tex]\frac{-3}{6}[/tex]

x=[tex]-\frac{1}{2}[/tex]

Final answer:

To find the dimensions of the rectangle, we used the perimeter formula and set up equations to solve for the width (21 inches) and length (27 inches), given that the length is 6 inches longer than its width and the perimeter is 96 inches.

Explanation:

To solve for the dimensions of the rectangle when the length is 6 inches longer than its width and the perimeter is 96 inches, we need to set up two equations based on the perimeter formula for a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

Let w represent the width of the rectangle. Then, the length of the rectangle is w + 6 inches. By substituting these into the perimeter formula, we get:

Now that we know the width is 21 inches, we can find the length by adding 6 inches to the width:

Therefore, the dimensions of the rectangle are 27 inches in length and 21 inches in width.

Final answer:

To find the dimensions of the rectangle, we used the perimeter formula and set up equations to solve for the width (21 inches) and length (27 inches), given that the length is 6 inches longer than its width and the perimeter is 96 inches.

Explanation:

To solve for the dimensions of the rectangle when the length is 6 inches longer than its width and the perimeter is 96 inches, we need to set up two equations based on the perimeter formula for a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

Let w represent the width of the rectangle. Then, the length of the rectangle is w + 6 inches. By substituting these into the perimeter formula, we get:

96 = 2(w + 6) + 2w

96 = 2w + 12 + 2w

96 = 4w + 12

84 = 4w

w = 21

Now that we know the width is 21 inches, we can find the length by adding 6 inches to the width:

Length = Width + 6 = 21 + 6 = 27 inches

Therefore, the dimensions of the rectangle are 27 inches in length and 21 inches in width.

Answer:

x = 6

Step-by-step explanation:

-2x + 8 = -3x + 14

Add 3x to both sides.

x + 8 = 14

Subtract 8 from both sides.

x = 6

Both sides of the equation are equal, the solution [tex]x = 6[/tex] is correct.

To solve the equation [tex]-2x + 8 = -3x + 14[/tex], you can follow these steps:

Move the variables to one side of the equation:

Add 3x to both sides of the equation to get the variables on one side:

[tex]-2x + 8 + 3x = -3x + 14 + 3x[/tex]

Simplify:

[tex]x + 8 = 14[/tex]

Isolate the variable:

Subtract 8 from both sides to isolate [tex]x[/tex]:

[tex]x + 8 - 8 = 14 - 8[/tex]

Simplify:

[tex]x = 6[/tex]

Check your solution:

Substitute [tex]x = 6[/tex] back into the original equation to ensure it satisfies the equation:

[tex]-2(6) + 8 = -3(6) + 14[/tex]

Simplify both sides:

[tex]-12 + 8 = -18 + 14[/tex]

[tex]-4 = -4[/tex]

Answer:

68 square inches

Step-by-step explanation:

Volume = Area × height

1632 = A × 24

A = 1632/24

= 68 inches squared

The area of the base of the cylinder is 68 inches².

A cylinder is a three-dimensional figure that has a radius and a height.

The volume of a cylinder is given as πr²h.

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm

We have,

Volume = 1632 inches

Height = 24 inches

Volume = 1632

πr²h = 1632

πr² = 1632 / 24 = 68

Area of the base.

= πr²

= 68 inches²

Thus,

The area of the base is 68 inches².

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Answer:

768 square inches

Step-by-step explanation:

see attached

The width and height of the 40 inch television with a 4:3 aspect ratio are 32 inches and 24 inches respectively. The area of the screen is 768 square inches.

To find the width and height of an older 40 inch television with an aspect ratio of 4:3, we can use the formula:
Width = aspect ratio * height
Since the aspect ratio is 4:3, we divide the width by 4 and multiply by 3 to find the height.
Therefore, the width of the television is 32 inches and the height is 24 inches.

To find the area of the screen, we use the formula:
Area = width * height
Substituting the values, we get:
Area = 32 inches * 24 inches
Therefore, the area of the screen is 768 square inches.

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The width of the rectangle will be equal to 12 units.

Perimeter is defined as the sum of all the sides of the given shape. The rectangle has four sides then the perimeter of the rectangle will be the sum of all the sides of the rectangle.

Given that length of a rectangle is 10 units longer than its width. The total perimeter of the rectangle is 44 units.

The width of the rectangle will be calculated as below:-

2l + 2w = P

2(10) + 2w = 44

20 + 2w = 44

2w = 24

w = 12

Therefore, the width of the rectangle will be equal to 12 units.

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Your Answer is x = −2

Hope this Helps.

Answer:

The perimeter of parallelogram PQRS = [tex]2\sqrt{10}+8\sqrt{2}[/tex] ⇒

2nd answer

Step-by-step explanation:

* Lets revise some properties of the parallelogram

- Each two opposite sides are parallel

- Each two opposite sides are equal

- Its perimeter is the twice the sum of two adjacent sides

* Lets solve the problem

∵ PQRS is a parallelogram

∵ The length of side SR is [tex]4\sqrt{2}[/tex]

∵ The length of side QR is [tex]\sqrt{10}[/tex]

∵ SR and RQ are two adjacent sides

∵ The perimeter of parallelogram PQRS = 2(RQ + SR)

∴ The perimeter of parallelogram PQRS = [tex]2(\sqrt{10}+4\sqrt{2})[/tex]

∵ [tex]2*\sqrt{10}[/tex] = [tex]2\sqrt{10}[/tex]

∵ [tex]2*4\sqrt{2}[/tex] = [tex]8\sqrt{2}[/tex]

∴ The perimeter of parallelogram PQRS = [tex]2\sqrt{10}+8\sqrt{2}[/tex]

The required perimeter of parallelogram PQRS is [tex]8\sqrt{2} + 2\sqrt{10}[/tex] units.

Given that,

On a coordinate plane, parallelogram PQRS,

There points are P is at (-2, 5), point Q is at (2, 1), point R is at (1, -2), and point S is at (-3, 2),

Length of SR = [tex]4\sqrt{2}[/tex] and QR = [tex]\sqrt{10}[/tex].

We have to find,

The perimeter of parallelogram PQRS.

According to the question,

The properties of the parallelogram is  each two opposite sides are parallel and each two opposite sides are equal.

Its perimeter is the twice the sum of two adjacent sides

Then,  PQRS is a parallelogram,

 SR and RQ are two adjacent sides,

The perimeter of parallelogram PQRS = 2(RQ + SR)

The perimeter of parallelogram PQRS = [tex]2 ( 4\sqrt{2} + \sqrt{10} )[/tex]

The, The perimeter of parallelogram PQRS = [tex]8\sqrt{2} + 2\sqrt{10}[/tex].

Hence, The required perimeter of parallelogram PQRS is [tex]8\sqrt{2} + 2\sqrt{10}[/tex] units.

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Answer:

Reduced fraction: 2/3

Answer: 2/3

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 108 and 162 is 54

Divide both the numerator and denominator by the GCD

108 ÷ 54

162 ÷ 54

Reduced fraction:

2

3

Therefore, 108/162 simplified to lowest terms is 2/3.

Step-by-step explanation:

B 100

Answer:

B

Step-by-step explanation:

Answer:

total pay for his work is $1704

Step-by-step explanation:

given data

Zenin earns =  $142 per shift

total shifty = 12

to find out

What would his pay for 12  shift

solution

we have given per shift charge and total shift

so

total pay for his work = total shift × per shift charge    ................1

put here value

total pay for his work = 12 × $142

total pay for his work = $1704

To solve the inequalities, isolate x in each. The solution for -9x + 5 < 17 is x > -4/3 and the solution for 13x + 25 < -1 is x < -2. The intersection of these solutions, and thus the solution to the compound inequality, is x < -2.

We can solve the inequalities separately, then find the intersection of their solution sets. First, let's solve the inequality -9x + 5 < 17. To do this, we subtract 5 from both sides to isolate the term with x which gives -9x < 12. Finally, we divide both sides by -9, remembering to flip the inequality sign since we divided by a negative. This gives x > -4/3.

The second inequality 13x + 25 < -1 can be solved similarly. Subtracting 25 from both sides will get 13x < -26. Divide both sides by 13 to find that x < -2.

The final answer will be the intersection of the two solutions. Since x < -2 is a stricter condition than x > -4/3, the solution to the compound inequality is x < -2.

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Answer: w = a/l

Step-by-step explanation:

If a = lw, then w = a/l

W = a/l is an equation to find the width if you already know both the a and l

Answer: 721/100 is 7.21 as a simplified fraction.

Answer:

7.21 as a numerator and put 1 as a denominator now you multiply numerator and denominator by 10 as long as get in numerator the whole number 7.21=7.21 /1=7.21/10=7.21/100 and finally we have 7.21 as a fraction equals 7.21/100

Step-by-step explanation:

it is 11 students in the bus

Answer:

x = 62

Step-by-step explanation:

Given that 2 sides of the triangle are congruent ( both 6 ), then the triangle is isosceles and the 2 base angles are congruent, thus

x = 0.5( 180 - 56)° = 0,5 × 124° = 62°

Step-by-step explanation:

To get the simplest form keep dividing until you can't anymore. So first I'll divide by 2 which equals 16/5 which can't be divided anymore because there is no common denominator.

Answer:

300

Step-by-step explanation:

All you do is multiply 10 by 30 [3 tens] to get three hundred.

I am joyous to assist you anytime.

D.)  "The graphs of the equations intersect each other at two places."

Answer:

[tex]y = \frac{1}{3} x -1[/tex]

Step-by-step explanation:

1. find the slope that includes the points (-3,-2) and (3,0)

[tex]\frac{y2-y1}{x2-x1} =m[/tex] ->slope

0-(-2)/3-(-3) = [tex]\frac{2}{6} (simplify) = \frac{1}{3}[/tex]

2. find the y-intercept

[tex]y = mx +b[/tex] -> slope-intercept form

plug in the y-coord. and the x-coord along with the slope you found (or rather I found) and solve. It could be from either coordinate given.

[tex]0=\frac{1}{3} (3)+b[/tex]

3. solve.

[tex]0 = 1 +b[/tex]

[tex]-1 = b[/tex]

4. write the equation with the slope and y-int you found and voila!

Answer:

this is so hard

Step-by-step explanation:

To write 2.6666 as a fraction, write 2.6666 as the numerator with 1 as the denominator.

2.6666/1

Now you multiply numerator and denominator by 10000 to make the numerator a whole number ( no decimals)

26666/10000

Both numbers are even and can be divided by 2:

The fraction becomes: 13333/5000

Answer:

$7.oo for one ticket

Step-by-step explanation:

if Laura is selling 4 tickets for $28 then you would divide 28 by 4 and that's your answer.

Answer:

A could be 50

e could be 120

d/o could be 150

e could be 180

Answer:

163.8 yd

Step-by-step explanation:

The perimeter of a rectangle is twice the length added to twice the width.

The width is 23.4 yd.

The length is 2.5 times the width, so to find the length, we multiply the width by 2.5.

length = 2.5 * width = 2.5 * 23.4 yd = 58.5 yd

The length is 58.5 yd.

perimeter = 2 * length + 2 * width

perimeter = 2 * 58.5 yd + 2 * 23.4 yd

perimeter = 117 yd + 46.8 yd

perimeter = 163.8 yd

[tex]Hey![/tex]

-------------------------------------------------

[tex]\large\boxed{Perimeter~of~the~retangular~park~is~163.8~yards!}[/tex]

-------------------------------------------------

[tex]Steps To Solve:[/tex]

[tex]Find~the~length.[/tex]

[tex]23.4~*~2.5~=~58.5[/tex]

[tex]Find~the~perimeter.[/tex]

[tex]p~=~(length~*~2)~+~(width~*~2)[/tex]

[tex]p~=~(58.5~*~2)~+~(23.4~*~2)[/tex]

[tex]p~=~117~+~46.8[/tex]

[tex]p~=~163.8[/tex]

-------------------------------------------------

[tex]Hope~This~Helped!~Good~Luck![/tex]

Answer: if your question here is if they are the same since it says equivalent then yes

Step-by-step explanation: 2/3 = 8/12