Tony bikes 8 miles in one hour. How far would he bike in 5 hours?

Answer:

length = 20 feet

width = 7 feet

Step-by-step explanation:

This problem can be solved using a system of equations. Using the given information, you can formulate 2 equations:

l*w = 140

l = 2w + 6

In order to solve this system of equations, you can use the Substitution Property of equality to substitute the l in the first equation for (2w + 6) in order to find the width:

where l*w = 140 and l = 2w + 6,

1. (2w + 6)*w = 140

2. 2w^2 + 6w = 140

3. w^2 + 3w = 70

4. w^2 + 3w - 70 = 0

5. (w - 7) (w + 10) = 0

6. w = 7, -10

1. Substitution

2. Simplification

3. Divide both sides by 2

4. Subtract 70 from both sides

5. Factor the left side (find 2 numbers that add to 3 and multiply to -70)

6. Solve for w

The width must be 7 because a width of -10 is impossible. Now, you just need to plug that into the equation to solve for l:

l*w = 140

7l = 140

l = 20

That means that the length is 20 and the width is 7.

Answer:

the answer is 0

Step-by-step explanation:

do the distributive property  and combine like terms

Answer:

168

Step-by-step explanation:

- first we need to find the third angle of the triangle, and since 180 is the sum of all angles, 180 - 90 - 78 = 12

- 12 is the interior angle at point 1, the exterior angle is 180 - 12 = 168

(here we use 180 because its a straight line)

The measure of  21 (exterior to the triangle) is 168 degrees.

The calculation is as follows:

= 180 - 90 -78

= 12

= 180 - 12

= 168

Therefore we can conclude that the measure of  21 (exterior to the triangle) is 168 degrees.

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Answer:

A. parallel

Step-by-step explanation:

solve for y

2y= -5x+14

and

y = -5x + 9

they have the same slope, parallel lines have the same slope.

Answer:

27 miles

Step-by-step explanation:

1cm is 6 miles,

4.5cm is ?miles

?=6*4.5/1=27

Answer:

b  and  d

Step-by-step explanation:

yup ‼️

Answer:

2,4     3,6

Step-by-step explanation:

its correct

$231,000.

We have been given that a 2,100 square foot home in Cheyenne Wyoming costs $110 per square feet.

To find the total cost of home we will multiply the total area of home by the cost of per square feet area.

2,100 × 110 = 231,000$

Answer:

(4,5)

Step-by-step explanation:

Answer:

the GCF is 4

Step-by-step explanation:

GCF is the greatest factor that acers in both

80 = 10 x 8 or 20 x 4

28 = 7 x 4

Answer:

yes

Step-by-step explanation:

Answer:

Did you even upload a photo or an I trippin?

Answer:

$4.50

Step-by-step explanation:

$6.75 divided by 1.5 equals $4.50

The price per pound of beef Mrs.Kearns bought is $4.5 per pound.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Mrs.Kearns bought 1.5 pounds of ground beef from Kroger and

she paid a total of $6.75.

Therefore, The cost of per pound can be obtained by dividing the total amount by the total pounds of beef which is,

= 6.75/1.5.

= $4.5 per pound.

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Answer:

im preety sure its c

Step-by-step explanation:

Answer:

a > - 21.33

or

a > -21 1/3

Step-by-step explanation:

3/4a > -16

a > -16*4/3

a > - 64/3

a > - 21.33

or

a > -21 1/3

Answer:

31.241

Step-by-step explanation:

x = 6t + 5,   y = 7 − 5t            −1 ≤ t ≤ 3

dx/dt = 6

dy/dt = -5

The arc length of the curve can be calculated below as

L = ∫[tex]\sqrt{(\frac{dx}{dt} )^2 + (\frac{dy}{dt})^2 dt }[/tex]

 = [tex]\int\limits^3_ {-1} \, \sqrt{36 + 25 dt}[/tex]

 = [tex]\sqrt{61} \int\limits^3_ {-1} \, dt[/tex]

 = [tex]\sqrt{61} [3-(-1)][/tex]

= 4[tex]\sqrt{61}[/tex]  = 31.241

Answer:

Step-by-step explanation:

surface area of a square pyramid

= Area of base + 1/2 base perimeter * slant height

= (5 x 5) + (1/2 x (5*4) x 6)

= 25 + 60

= 85 ft²

Answer:

Step-by-step explanation:

24 miles / x minutes = 6 miles / 30 minutes

or

24 / 6 is 4 and 4 * 30 minutes = 120 minutes or 2 hours

Answer:

6 hours

Step-by-step explanation:

it will take 6 hours to ski

Answer:

5...?

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The answer is 7 because a 2 reversed looks like a 5 and 2+5=7

Answer:

2 apples

Step-by-step explanation:

I hope this helps!

Answer:

Hey buddy, here is your answer. Hope it helps u

Step-by-step explanation:

The answer is b-10. The area of rhombus is 1/2*d1*d2. So 1/2*4*5=10. D stands for diameter.

Answer:10

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

the answer is 12% decrease in area

The required, percentage decrease in the area of the triangle is 12%. Option D is correct.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Area of the triangle = 1/2bh

Now,
The length of the base of a triangle is increased by 10 percent and the height is decreased by 20 percent,
base = b + 0.1b = 1.1b
height = h - 0.2h = 0.8h

New area = 1/2[1.1b][0.8h] = 0.88 [1/2b/h]

Percentage decrease in area = [ 1/2bh - 0.88 [1/2b/h] / 1/2bh × 100%
                                             = 12%

Thus, the required, percentage decrease in the area of the triangle is 12%. Option D is correct.

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Answer: -5<-8

Step-by-step explanation:

Answer:

The answer is B. But honestly tempeture rises with every layer.

Answer:

IT is D!

Step-by-step explanation:

Hope this helps!!! ;) <3

Answer:

it is the last one.

all you have to do is match the graph and the charts

hope this helps :)

Answer:

The volume of the tetrahedron is

[tex]\frac{-32}{3}[/tex]

Step-by-step explanation:

To find the volume of a tetrahedron with vertices (2, 0, 0), (0, 4, 0), (0, 0, 4), (2, 4, 4).

We know by definition that the volume of a tetrahedron with vertices [tex](x_{1}, y_{1}, z_{1}), (x_{2}, y_{2}, z_{2}), (x_{3}, y_{3}, z_{3})[/tex] is

[tex]\frac{1}{6}\begin{vmatrix}

2 & 0 & 0 & 1\\

0 & 4 & 0 & 1\\

0 & 0 & 4 & 1\\

2 & 4 & 4 & 1

\end{vmatrix}[/tex]

From here we have:

[tex]\frac{1}{6}\begin{vmatrix}

x_1 & y_1 & z_1 & 1\\

x_2 & y_2 & y_2 & 1\\

x_3 & y_3 & z_3 & 1\\

x_4 & y_4 & y_4 & 1

\end{vmatrix}[/tex]

Finding the determinant of that matrix we have:

[tex]\frac{1}{6} (-64)[/tex] = [tex]\frac{-32}{3}[/tex]

Answer:

thank you i will make sure to<3

Answer:

Your a legend

Have a nice day!

Answer:

Size of V = 95°

Step-by-step explanation:

The total sum of angles in a triangle is 180°

You can find Angles T and V.

2x+3x+5 = 180°-25°

5x+5 = 155°

5x = 155°-5

    = 150°

x = 150°÷5

  = 30°

Angle V = 3×30°+5

             = 95°

Answer:

Check below for step-by-step guide.

Step-by-step explanation:

a) Recall the formula for area is length times width. You are given both of those values. Width= (5x+2) and length = (4x-1). All you have to do is multiply them. You will get a quadratic!

b) This is just basically a lot of plugging in to the equation: Volume= length x width x height. So let's look at what we have!

It says our volume is 20x^3 + 63x^2+ 7x-6

It says our width is : (5x+2)

It says out length is (4x-1).

So the volume = l x w x h , we just plug in those numbers I listed above :

20x^3 + 63x^2+ 7x-6= (4x-1) (5x+2) (height)

Now remember you already multiplied length times width in problem (a). You can use that expanded quadratic on the right side. Then subtract values and isolate height!

You asked for an explanation of what to do step by step, so if you actually need help solving it, comment please! :)

Answer:

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

Step-by-step explanation:

[tex]4|4x-3|-8=-4\\[/tex]

Add 8 to both sides;

4|4x - 3| = 4               4|4x - 3| = -4

Divide both sides by 4;

4x - 3 = 1                   4x - 3 = -1

Add 3 to both sides;

4x = 4                       4x = 2

Divide both sides by 4;

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