Matt's den is 10 feet longer than it is wide. If the dents area is 231 square feet, what are the dimensions of the room?
The dimensions of the room are
ft.
(Use a comma to separate answers as needed.)

Answer:

Cost of 1 egg = x = $0.89

Cost of 1 sausage = y = $0.74

Step-by-step explanation:

Let the:

Cost of 1 egg = x

Cost of 1 sausage = y

A breakfast menu lists:

3 eggs with 2 sausage for $4.15

3x + 2y = 4.15......Equation 1

4 eggs with 1 sausage for $4.30 .

4x + y = 4.30...... Equation 2

y = 4.30 - 4x

We substitute 4.30 - 4x for y in Equation 1

3x + 2(4.30 - 4x) = 4.15

3x + 8.6 - 8x = 4.15

3x - 8x = 4.15 - 8.6

-5x = -4.45

x = -4.45/-5

x = $0.89

Solving for y

y = 4.30 - 4x

y = 4.30 - 4(0.89)

y = 4.30 - 3.56

y = $0.74

Therefore,

Cost of 1 egg = x = $0.89

Cost of 1 sausage = y = $0.74

Answer:

11388.8

Step-by-step explanation:

Answer:

11,388.8

Step-by-step explanation:

if 14,236 = 100℅

X. = 80℅

14,236*80℅ divided by 100℅

X= 11,388.8

Answer:

Below

Step-by-step explanation:

Answer:

131˙

Step-by-step explanation:

Supplementary angles are angles that add up to 180˙. If you subtract 49 from 180, you get 131.

Brainliest? Maybe?

Answer:

[tex]\ell=\frac{77}{4}[/tex]

Step-by-step explanation:

Because these two cones are similar, we can set up the following proportion:

[tex]\frac{11}{4}=\frac{\ell}{7}[/tex]

Solving, we get:

[tex]\ell=\frac{7\cdot11}{4},\\\ell=\fbox{$\frac{77}{4}$}[/tex].

Answer:

(-5*m)-(-5*2)

Step-by-step explanation:

Here, we want to use the distributivity property to evaluate the expression

We have this as;

(-5*m)-(-5*2)

Answer:

k= -50/p

Step-by-step explanation:

Answer is worked out in the photo above.

Answer:

[tex]\approx 26.16\:\mathrm{m}[/tex]

Step-by-step explanation:

Let [tex]h[/tex] be the height of the tree. In reference to the tree and bird, a right triangle is formed. We can write the following trig function for that right triangle:

[tex]\tan28^{\circ}=\frac{h}{15},\\h=15\tan28^{\circ},\\h\approx 7.98\:\mathrm{m}[/tex].

Now we can use this to find the hypotenuse of this triangle (the distance between the cat and the bird):

Let the distance between the cat and bird be [tex]k[/tex]. Then,

[tex]7.98^2+15^2=k^2,\\k\approx 16.99\:\mathrm{m}[/tex]. This is one side of the triangle that is formed by the cat, bird, and mouse.

The right triangle formed by the tree, cat, and mouse shares the height [tex]h[/tex] with the other right triangle, as we found earlier. Let [tex]l[/tex] represent the hypotenuse of this triangle or the distance between the cat and mouse. We then have the following trig function:

[tex]\sin 40^{\circ}=\frac{7.98}{l},\\l=\frac{7.98}{\sin40^{\circ}}\approx 12.41\:\mathrm{m}[/tex]. This is another side of the triangle that is formed by the cat, bird, and mouse.

The triangle that is formed by the cat, bird, and mouse has shares an angle of [tex]125^{\circ}[/tex] with the base of the auxiliary pyramid. The other angles, however, are not shared.

Since we have two sides and the angle between these two sides, we can use the Law of Cosines to find the other side (the distance between the mouse and bird). The Law of Cosines is given by:

[tex]m^2=k^2+l^2-2kl\cos M[/tex], where [tex]m[/tex] is the distance between the bird and the mouse and the other variables are defined above.

Plugging in values, we get:

[tex]m^2=16.99^2+12.41^2-2\cdot16.99\cdot12.41\cdot\cos 125^{\circ}[/tex]

Solving, we get:

[tex]m\approx \fbox{$26.16\:\mathrm{m}$}[/tex].

Answer:

Step-by-step explanation:

Nose

Answer:

Step-by-step explanation:

I find the answer at the search bar :)

Answer:

QS = 17 units

Step-by-step explanation:

Given:

R located at QS

QR = 10

RS = 7

Find:

Measure of QS

Computation:

QS = QR + RS

QS = 10 + 7

QS = 17 units

Answer:

[tex]1,008\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The total surface area of this triangular prism consists of three rectangles and two triangles. Adding the areas of each of these shapes allows us to find the total surface area of this 3D figure:

Area of both triangles:

[tex]2\cdot \frac{1}{2}\cdot12\cdot 14=168\:\mathrm{cm^2}[/tex]

Area of all three rectangles:

[tex]15\cdot 20 +13\cdot 20+14\cdot 20=840\:\mathrm{cm^2}[/tex]

Therefore, the total surface area of this figure is:

[tex]840+160=\fbox{$1,008\:\mathrm{cm^2}$} \: \checkmark[/tex]

Answer:

14.86854, or 15

Step-by-step explanation:

Step-by-step explanation:

Hey there!

According to the question, you need to find out the distance from your friend's house to school.

Firstly figure out the coordinate of your school and school. Then use formula of distance.

So, we find the coordinates as (7,7) and (5,0).

So, x 1 = 7 y1= 7

x 2 = 5 y2 = 0

~ Use distance formula.

[tex]d = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

~ Put all values.

[tex]d = \sqrt{ {(5 - 7)}^{2} + ( {0 - 7)}^{2} } [/tex]

~ Simplify it.

[tex]d = \sqrt{ {( - 2)}^{2} + {( - 7)}^{2} } [/tex]

[tex]d = \sqrt{4 + 49} [/tex]

[tex]d = \sqrt{53} [/tex]

D= 7.280

Therefore, the distance between your friend's house and your school is 7.3 units.

Hope it helps....

you need to find out the distance from your friend's house to school.

Firstly figure out the coordinate of your school and school. Then use formula of distance.

So, we find the coordinates as (7,7) and (5,0).

So, x 1 = 7 y1= 7

x 2 = 5 y2 = 0

~ Use distance formula.

~ Put all values.

~ Simplify it.

D= 7.280

Therefore, the distance between your friend's house and your school is 7.3 units

Answer:

B) 3 1/3

Step-by-step explanation:

To divide the fractions, simply follow these steps.

First, flip the second fraction, so that the numerator is the denominator, and the denominator is the numerator. Change the division sign into a multiplication:

(2/3)/(1/5) = (2/3) * (5/1)

Next, multiply straight across:

(2/3) * (5/1) = (2 * 5)/(3 * 1) = 10/3

Finally, simplify. Change the improper fraction into a mixed:

10/3 = 3/3 + 3/3 + 3/3 + 1/3 =  3 1/3

B) 3 1/3 is your answer.

~

Answer:

I got 3 1/3

Step-by-step explanation:

Also to divide fractions do.  Keep Change and Flip

Keep the first fraction, flip the divide sign to the multiply sign.  Then flip the other fraction.  Then multiply

Domain is the input value, The x value)

The arrows on the graphed line mean the line continues in that direction,

There is arrows on both ends so the domain would be negative infinity to infinity.

The answer is B.

Answer:   The expression represents the price of the skateboard when it is on sale for 25% off = 0.75p

Step-by-step explanation:

Given: Regular price of a skateboard is p.

Discount = 25% off = 0.25p

Now, the  price of the skateboard when it is on sale for 25% off = p - Discount

= p -0.25p

= (1-0.25)p

= 0.75p

Hence, the expression represents the price of the skateboard when it is on sale for 25% off = 0.75p

Answer: The expression represents the price of the skateboard when it is on sale for 25% off = 0.75p

Step-by-step explanation:

Answer: [tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]

Step-by-step explanation:

Point slope form: [tex](y-b)=n(x-a)[/tex] , where n=slope , (a,b) is the point through which line passes.

If slope of the line = m and line passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] :-

[tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]

So, the equivalent equations are :

[tex](y-y_1)=m(x-x_1)\ or \ (y-y_2)=m(y-y_2)[/tex]

Answer:

62miles/1hr

Step-by-step explanation:

In order to get the rate of change I divided 124 miles by 2 hours to get 62 miles.

Answer:

20 bc if 8 men took 10 hours then 4 men would take double the time

Answer:

ha ha is it math question seriously or riddle if riddle the wall is already built by men they non time is taken by men.

Answer:

Solve the system of equations:

x= -3

y= -4

Step-by-step explanation:

This is right if x went with 11/17:

11/17x

I didn't know if they were separated or not

Answer: -1

Step-by-step explanation: A typical quadratic equation is [tex]ax^{2} +bx+c[/tex] and the maximum value formula is -b/2a, so let plug it in -4/2(-4) which equals 1/2. Then let plug 1/2 into the equation,

-4(1/2)^2+4(1/2)-2=

    -1+2-2=

          -1

Answer:

The equation of the graph is;

y = 4·x

Step-by-step explanation:

The coordinates of two points, (x₁, y₁), and (x₂, y₂) respectively on the straight line graph are;

(-3, 12), and (2, 8)

The slope, m, of the straight line graph is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, by substitution of the values, we have;

[tex]Slope, \, m =\dfrac{8-(-12)}{2-(-3)} = \dfrac{8 + 12}{2 + 3} =\dfrac{20}{5} = 4[/tex]

The equation of the graph in point slope form is therefore;

(y - 8) = 4×(x - 2)

y = 4·x - 8 + 8 = 4·x

y = 4·x.

Answer:

Step-by-step explanation:

1 : 3 : : 4: x

Multiply 1 and x and multiply 3 and 4

x = 12

Answer:

it will 5 because 0 has all factor other than 0 and 5 has two factor 1 and 5 So hcf of 0 and 5 will 5

Answer:

First one is 4x = 24

Second one is x = 6

This one is 6

Answer:

Add 3 to both sides of the equation:

4x − 3 + 3 = 21 + 3

4x = 24

Divide both sides of the equation by 4:

4x/4 = 24/4

x = 6

The number line represents x-values, so the solution is at 6.

The line with the red colour dotted 6

Step-by-step explanation:

Answer:

B

Step-by-step explanation: