The dimensions of a portable kennel can be expressed as width x, length x + 0.4, and height x − 0.2? What are the dimensions of a portable kennel with a volume of 7.4 ft3? Use a graphing calculator to solve. Round the dimensions to the nearest tenth.

Answer:

[tex]The\ following\ system\ of\ equations\ gives\ number\ of\ hats\ and\ scarves\\\\h+s=15\\\\0.2h+0.1s=k\\\\Where\ k\ is\ total\ yarn\ in\ kg.\\\\If\ k=2\ kg\\\\h=5\ hats,\ s=10\ scarves[/tex]

Step-by-step explanation:

[tex]Number\ of\ hats=h\\\\Number\ of\ scarves=s[/tex]

Total Number of items:

[tex]Total\ items=15\\\\Total\ number\ of\ items=Number\ of\ hats+Number\ of\ scarves\\\\Total\ Number\ of\ items=h+s\\\\h+s=15.......................................eq(1)[/tex]

Total yarn used:

[tex]Yarn\ used\ in\ 1\ hat=0.2\ kg\\\\Yarn\ used\ in 1\ scarf=0.1\ kg\\\\Yarn\ used\ in\ hats=Yarn\ used\ in\ 1\ hat\times Number\ of\ hats\\\\Yarn\ used\ in\ hats=0.2\times h=0.2h\\\\Yarn\ used\ in\ scarves=Yarn\ used\ in\ 1\ scarf\times Number\ of\ scarves\\\\Yarn\ used\ in\ hats=0.1\times s=0.1s\\\\Total\ yarn\ used=0.2h+0.1s\\\\If\ total\ yarn=k\ kg\\\\Solution\ of\ following\ system\ of\ equations\ gives\ number\ of\ hats\ and\ scarves\\\\h+s=15\\\\0.2h+0.1s=k[/tex]

[tex]if\ k=2\\\\h+s=15...............eq(2)\\\\0.2h+0.1s=2.......eq(3)\\\\eq(2)-0.2\times eq(3)\\\\0.1s=1\\\\s=10\\\\From\ eq(2)\\\\h=15-s\\\\h=5\ hats[/tex]

Answer:

Not to sure if this is correct but I think it is 6: 1 : 18

pls msg me if you need explanation

The true statement about (f + g)(2) is (D). 343 burned exercise and diet 2 hours.

The functions are given as:

f(x) = 2x+ 210

g(x) =2x + 125

Start by calculating (f + g)(x) using:

(f + g)(x) = f(x) + g(x)

So, we have:

[tex](f + g)(x) = 2x + 210 + 2x + 125[/tex]

This gives

[tex](f + g)(x) = 4x + 335[/tex]

When x = 2, we have:

[tex](f + g)(x) = 4*2 + 335[/tex]

[tex](f + g)(x) = 343[/tex]

This means that 343 calories were burned by exercising and dieting for 2 hours

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The final discounted price is $18.6

Step-by-step explanation:

In this problem we have to decrease the value of $20 by 7%.

First of all, we have to calculate the 7% of $20. We can do it as follows:

[tex]d=\frac{7}{100}\cdot 20 = 1.4[/tex]

This means that the 7% of $20 is 1.4$.

Now we want to decrease the original value by 7%, so we calculate the difference:

[tex]f=20 - d = 20-1.4=18.6[/tex]

So, the final discounted price is $18.6

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Answer:

The Answer is Line B

Step-by-step explanation:

the points that make up the graph is ( 0,2) and (1,0)

Answer:

Line B

Step-by-step explanation:

Answer:

1st one is A

2nd is B

EDGE

You have the ratios set up but you need to cross multiply everything:

(5x + 10) x 11 = 121 x 10

55x + 110 = 1210

Subtract 110 from both sides:

55x = 1100

Divide both sides by 55:

X = 1100 / 55

X = 20

Answer: quadrant 2

Step-by-step explanation:

u first go to the left side because your x axis is a negative than u go up one positive and u are on quadrant 2

Answer: C) 78 in2

Step-by-step explanation:

The polygon is divided into two trapezoids with equal measurements.

Area of a trapezoid:

1

2

(b1 + b2)h

Since the area of the hexagon equals the area of two trapezoids with equal measurements, do not multiply by 1/2.

(b1 + b2)h

(10 + 16)3

26(3)

78 in2

Answer:

Answer: C) 78 in2

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

multiply by the reciprocal

-4÷5/2

reduce the numbers with greatest common factor 2

-2 x 5

multiply the numbers

-10

Answer:

70

Step-by-step explanation:

BD is 1/2 the size of AE which is derived from the property of midpoints and the parallel lines.

Therefore if BD = 35, AE is twice as long.

AE = 70

Answer:

15

Step-by-step explanation:

Substitute in the values

2 X 3 = 6

21 - 6 =15

To find the value of 21 - 2a when a = 3, substitute 3 for a and simplify to get 21 - 6, which equals 15.

The student has asked to find the value of the expression 21 - 2a given that a = 3. To solve for the expression, substitute the value of a into the expression:

21 - 2(3) = 21 - 6 = 15.

Therefore, the value of the expression when a is 3 is 15.

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Answer:

[tex]x=\frac{-17n-r}{(n-34)}[/tex]

Step-by-step explanation:

 Given:                      

                          [tex]n(17+x)=34x-r[/tex]

                Taking the terms of x to one side.

                                [tex]17n+nx=34x-r\\[/tex]

                              [tex]nx-34x=-17n-r\\\\x(n-34)=-17n-r\\\\x=\frac{-17n-r}{(n-34)}[/tex]

The value of x is:

                                 [tex]x=\frac{-17n-r}{(n-34)}[/tex]

In order to find the amount of air to fill a basketball with a diameter of 12 inches, convert the diameter to a radius and then to metric units. Then, use the formula for the volume of a sphere (4/3 * π * r³) to calculate the volume.

This is a problem relating to the volume of a sphere, based in Physics. Given the diameter of the ball (12 inches), we first convert this measure to the radius, which would be half of the diameter (6 inches). This can also be converted to the metric system for ease of calculation, where 1 inch equals roughly 2.54 cm, leading to 6 inches as approximately 15.24 cm.

To find the air required to fill up the ball, we apply the formula for the volume of a sphere (4/3)πr³. Plugging in the value of the radius we get, V = (4/3) * π * (15.24 cm)³. Solving this will get us the volume of air required to fill up the basketball.

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Answer:

0

Step-by-step explanation:

8 + - 4 - 4

(goes in the 2nd box)

0

(goes in the last empty box)

x=50 and y=10

because of vertical angles: 3y=x-20

and we also have 3y+5x-100=180 , if we simplify we get 3y=280-5x

we can combine the two equations and get x-20=280-5x and when we solve we get x=50 degrees

then we can plug that into the first equation and get 3y=30, and y=10 degrees

Answer:

x = 50°

y = 10°

Step-by-step explanation:

The vertical angles theorem states that angles across from each other must be equal.

This means that:

3y = x - 20°    or    x = 3y + 20°

5x - 100° = y + 140°

Start with the second equation

5x - 100° = y + 140°

Add 100° to both sides of the equation

5x = y + 240°

Now, substitute the value of x found at the beginning into this equation

5(3y + 20°) = y + 240°

Multiply

15y + 100° = y + 240°

Subtract 100° from both sides of the equation

15y = y + 140°

Subtract y from both sides of the equation

14y = 140°

y = 10°

x = 3y + 20 = 3(10) + 20 = 30 + 20 = 50°

Hope this helps :)

Answer:

The answer is (11 hours)

Step-by-step explanation:

I first divided 299 by 13 hours to find the rate.

I got the dividend of 23.

All you do now is add $23 per hour.

Once you add 11 hours of this rate. You'll get the sum of $253.

Solving for the amount of hours by cross multiplication

money/hours=money/hours

$299/13hours=$253/x hours

[tex]\frac{299}{13} =\frac{253}{x} \\\\23=\frac{253}{x} \\\\23x=253\\\\x=253/23\\\\x=11[/tex]

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! I also hope you had a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

Answer:

Lines p and q are parallel

Step-by-step explanation:

1) Completing the question:

On a coordinate plane, is translated 3 units up and 3 units to the right to create ′′. Line p is drawn through and ’, and Line is drawn through and ’. Which statement about Lines and is true?

2)

If PQ (x, y) according to that rule then P'Q' (x+3, y+3). So let's plot to answer the question. Setting numbers for,x and y.

3) As you can see below, since we add 3 units to the right and 3 units up then no x-coordinate must be the same, no y-coordinate must remain the same. In addition, p and q won't have the same intercept, neither x nor y.

Answer:

[tex]\overline{FG}[/tex]

Step-by-step explanation:

When two line segments intersects, then they have a common point.

From the diagram FG intersects EF

Also HG intersects EF

From the given options, the correct answer is [tex]\overline{FG}[/tex]

Therefore the first choice is correct

The answer is that Micah ate more of a sandwich because he is 1/4 from eating the whole thing.

Answer:

Micah ate the most of their sandwich.

Step-by-step explanation:

If you convert all of the fractions into a percentage,

Erica ate 62.5% of a sandwich

Sven ate 40% of a sandwich

Micah ate 75% of a sandwich

Gabe ate 50% of a sandwich

Micah ate the most of their sandwich.

Answer:

2) The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.

Step-by-step explanation:

Look at the photo below for the graph.

:)

Answer:

[tex](9x-5)\ units[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The perimeter of a triangle is the sum of the length of their three  sides

so

[tex]P=a+b+c[/tex]

where

a,b,c are the length sides of the triangle

In this problem we have

[tex]P=(16x-6)\ units\\a=(2x-5)\ units\\b=(5x+4)\ units[/tex]

substitute and solve for the missing length

[tex](16x-6)=(2x-5)+(5x+4)+c\\c=(16x-6)-(2x-5)-(5x+4)\\c=(9x-5)\ units[/tex]

Answer:

No and yes.

Step-by-step explanation:

Turn both to percentages. Move the decimal point over two spots to the right, making 2%. Multiply the fraction by 2 to get 2/100. PerCENT. A dollar is 100 cents. The fraction as a percentage is 2%. They are equal.

Yes, 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].

Explanation:

0.02 can be represented as [tex]\( \frac{2}{100} \)[/tex], which simplifies to [tex]\( \frac{1}{50} \)[/tex].

Since [tex]\( \frac{2}{100} \)[/tex] is greater than [tex]\( \frac{1}{50} \)[/tex], it follows that 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].

Step-by-step explanation:

1. Convert 0.02 to a fraction: [tex]\( 0.02 = \frac{2}{100} \)[/tex].

2. Compare [tex]\( \frac{2}{100} \)[/tex] with [tex]\( \frac{1}{50} \)[/tex].

3. Simplify [tex]\( \frac{2}{100} \) to \( \frac{1}{50} \)[/tex].

4. Since [tex]\( \frac{1}{50} \)[/tex] is smaller than [tex]\( \frac{1}{50} \)[/tex], we conclude that 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].

of course the answer is Y=. - 2/3

Answer:

-2/3

Step-by-step explanation:

5 − (y−3)=14− 4 (y+2)

Expand

5 - y + 3 = 14 - 4y - 8

Collect like terms

-y + 4y = 14 - 8 - 5 -3

(-1 + 4)y = - 2

3y = -2

Divide both sides by 3

3y/3 = -2/3

y = -2/3

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Answer: 6

Step-by-step explanation:

Answer:4.25 tons

Step-by-step explanation:

The area of new circle is 5625π square inches.

Step-by-step explanation:

Given,

Area of circular plate = 625π square inches

Let,

Radius = r

Area of circular plate = πr²

[tex]\pi r^2=625\pi[/tex]

Dividing both sides by π

[tex]\frac{\pi r^2}{\pi}=\frac{625\pi}{\pi}\\\\r^2=625[/tex]

Taking square root on both sides

[tex]\sqrt{r^2}=\sqrt{625}\\r=25[/tex]

The radius of plate is 25 inches.

When the radius is tripled = 25*3 = 75 inches

New area of circle = πr²

New area of circle = [tex]\pi (75)^2\\[/tex]

New area of circle = [tex]5625\pi[/tex] square inches

The area of new circle is 5625π square inches.

Keywords: circle, area

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Answer:

Step-by-step explanation:

y + 7 = -1/2(x - 6)

y + 7 = -0.5x +3

y = -0.5x - 4

Answer:

y=-1/2x-4

Step-by-step explanation:

first distribute the -1/2 into both terms in the parentheses. next solve for y by subtracting 7 from both sides. combine like terms