A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?
33 miles
83 miles
120 miles
270 miles

The value of them after solving the equation will be m=-2

The given  equation will be

[tex]\dfrac{m}{m+4} + \dfrac{4}{4-m} =\dfrac{m^2}{m^2-16}[/tex]

multiply both sides by  [tex](m+4)(m-4)[/tex]

[tex](m+4)(m-4) (\dfrac{m}{m+4} + \dfrac{4}{4-m} )=(m+4)(m-4) \dfrac{m^2}{m^2-16}[/tex]

[tex]m(m-4)-4(m+4)=m^2[/tex]

[tex]m^2-4m-4m-16=m^2[/tex]

[tex]8m=-16[/tex]

[tex]m=-2[/tex]

Thus the value of them after solving the equation will be m=-2

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Answer:

b

Step-by-step explanation:

edge

Answer:

1052.39 cm2

Step-by-step explanation:

too lazy to type all that

1) find the radius of the half circle using pythagorus. (34-16=18, √30^2-18^2 = 24 = diameter. radius = 12)

2) find the area of the cirlcle then divide by 2 youll get the area of the half circle

3) find the area of the other thing (i forgot its name) using

1/2×24×(16+34) = 600

then add them up

Answer:

25.45584...

Step-by-step explanation:

The length of the hypotenuse can be found using the pythagorean theorem: [tex]a^{2} +b^{2} =c^{2}[/tex] So in this situation, the solution can be found by solving [tex]\sqrt{2(18)^{2} }[/tex]

Answer:

  (a)  156 cm²

Step-by-step explanation:

The total surface area of the 12 blocks can be computed by first finding the surface area of one block. That result can then be multiplied by 12. The area of one rectangular prism is given by the formula ...

  A = 2(LW +H(L +W))

  A = 2(4·1 +1/2(4+1)) = 2(4 +5/2) = 13 . . . cm²

The area of 12 such prisms will be ...

  12 × (13 cm²) = 156 cm²

Victor needs 156 cm² of fabric to cover 12 blocks.

_____

Additional comment

This problem offers an opportunity to exercise your number sense. The area of the largest surface of one block is (4 cm)×(1 cm) = 4 cm². 12 of these surfaces will have an area of 48 cm². This is only part of the total area, so the only reasonable choice among those offered is 156 cm².

Answer:

156 cm² for K12

Answer:

mean-average of a data set

mode-most common number in a set

median-middle number of the set

Step-by-step explanation:

you can ask me a question for more info

Answer:

Step-by-step explanation:

Mean - Is the average taken for a set of numbers

Median - The middle value in a data set of numbers

Mode - The number that occurs the most in a given list of numbers.

The two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here, (a,b,c) are the real numbers and x is the variable.

To find the value of x, the following formula is used,

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

The given equation is,

[tex]2(x+ 3)^2 - 4 = 0[/tex]

To solve this equation, we need to apply some mathematical operations over it. Let's start with opening the brackets.

[tex]2(x+ 3)^2 - 4 = 0\\2(x^2+6x+9)-4=0\\2x^2+12x+14-4\\2x^2+12x+12=0\\x^2+6x+7=0[/tex]

On comparing with standard equation we get,

[tex]a=1, b=6, c=7[/tex]

Put this values in the above formula,

[tex]x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=-4.41,-1.59[/tex]

Hence, the two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

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Answer:

Hope the picture will help you

Answer:  32

Step-by-step explanation:   count one row and then multiply that by 4 And then it equals 32

Answer:

3

Step-by-step explanation:

As you can see when you list out the factors of each number, 3 is the greatest number that 39 and 57 divides into.

Answer:

In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters.

Step-by-step explanation:

Answer:

Cube's features;

Given this information, we must find the area of one side and multiply that area by 6 since there are 6 equal sides of the same area.

Formula for area of square:-

A = a^2

or

A = a · a

Where 'a' represents the length of one side.

Plug in values;

A = a^2

A = 7^2

A = 49 centimetres is the area of one side.

Now we find the areas of all sides (6 sides in total);

49(6)

= 294 is the surface area of the cube.

The difference in wavelength between the wave produced in ice and the wave produced in water is 3.1 m. Then the correct option is B.

The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.

The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.

A frequency generator sends a 550 Hz sound wave through both water and ice.

The wavelength is given as

[tex]\lambda = \dfrac{v}{f}[/tex]

f = frequency

v = velocity

Then the wavelength in the water will be

[tex]\rm \lambda _w = \dfrac{1500}{550}\\\\\lambda _w = 2.73[/tex]

The wavelength in the ice will be

[tex]\rm \lambda _I = \dfrac{3200}{550}\\\\\lambda _I = 5.82[/tex]

Then the difference in wavelength between the wave produced in ice and the wave produced in water will be

[tex]\rightarrow \lambda _I - \lambda_w \\\\\rightarrow 5.82 - 2.73 \\\\\rightarrow 3.09 \approx 3.1[/tex]

Thus, the difference in wavelength between the wave produced in ice and the wave produced in water is 3.1 m.

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Answer:

3.1

Step-by-step explanation:

B

Answer: -0.383

Step-by-step explanation:

Since this is on the unit circle, the cosine is equal to the x coordinate and the sine is equal to the y coordinate.

Since cot = 1/tan = cos/sin, the approximate value is (-0.358)/(0.934), which is about -0.383.

Answer:

[tex]\boxed{6}\times 10^{\boxed{26}}[/tex]

Step-by-step explanation:

[tex](3 \times {10}^{9} ) \times (2 \times {10}^{17} ) \\ \\ = (3 \times 2) \times ( {10}^{9} \times {10}^{17}) \\ \\ = 6 \times {10}^{9 + 17} \\ \\ = \huge \boxed{ 6} \times {10}^{ \boxed{26}} [/tex]

Reason:

The central angle is the same measure as the arc it subtends.

Step-by-step explanation:

what is the question ?

to find Craig's score ?

if that is the case :

Craig's score = 62 - 16 = 46

Answer:

Step-by-step explanation: A= π r²

π=3.14

4x4 = 16

so 3.14 x 16 =50.24

[tex]\textsf{The slope of a line passing through two}[/tex]

[tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]

[tex]\green{ \underline { \boxed{ \sf{ Slope, =\frac{y_2-y_1}{x_2-x_1}}}}} [/tex]

Here,

Putting Values:-

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf Slope =\frac{27-2}{9-9} \\\end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{25}{0}\quad(not\: defined) \\\end{gathered} \end{gathered}[/tex]

>>The slope of the line that passes through the given points is not defined.

Note- We can conclude that if x-coordinate of the points through which line passes are same , then slope is always not defined .

Answer:

[tex](1,1)[/tex]

Step-by-step explanation:

If you graph it, You can see that the last point will be [tex](1,1)[/tex].

Hope This Helps!

By using a right triangle as a model, we will see that height of the roof is 9.38 ft.

The slant height is equivalent to the hypotenuse of a right triangle, so we know the length of the base and the hypotenuse of a right triangle. The cathetus will be half of 18ft

We need to find the other cathetus, so we can use the Pythagorean theorem, if X is the other cathetus we will get:

X^2 + (9ft)^2 = (13 ft)^2

X = √( (13 ft)^2 - (9 ft)^2) = 9.38ft

So the height of the roof is 9.38 ft.

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Answer:

The Volume of the Great pyramid will be "2586810 m³". A further solution is provided below.

Given:

Sides of length,
[tex]s = 230m[/tex]
Height,

[tex]h = 146.7m[/tex]
According to the formula,
The Volume (V) will be:
[tex]= \frac{1}{3} s^{2} h[/tex]
By substituting the values, we get
[tex]= \frac{1}{3} (230)^{2} * 146.7[/tex]
[tex]= \frac{1}{3} *520900 *146.7[/tex]
[tex]=\frac{1}{3} * 7760430[/tex]
[tex]= \frac{7760430}{3}[/tex]
[tex]= 2586810m^{3}[/tex]
Thus the above is the correct solution.

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Answer:

$126

Step-by-step explanation:

since they divided it evenly therefore everyone paid $42 you just times that by the amount of people. there is tom, mary and sara therefore 3. 42*3=126

Answer:

total bill was $126

Step-by-step explanation:

3 people ate: Tom, Mary and Sara
if they split the bill evenly, they would all pay the same amount
if each person paid 42 dollars, you just multiply that amount by the number of people
42 x 3 = 126

Answer:

Simple

65 miles per hour on average

Step-by-step explanation:

You add 60 to 70 and then you divide them by 2

Which is

60 + 70 = 130

130 ÷ 2 = 65

The average speed Ethan will be 65 miles per hour on average.

The speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

That Ethan drove the first half of his trip's distance at an average rate of 60 miles per hour, and the second half at an average rate of 70 miles per hour.

The average speed will be calculated as,

60 + 70 = 130

130 ÷ 2 = 65 miles per hour

Therefore, the average speed Ethan will be 65 miles per hour on average.

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#SPJ2

The formula of the farm agency illustrates a geometric progression

The formula the farm agency could use is y = 3^n

The number of characters is given as:

n(A,B,C) = 3

Represent the number of tags to create with y.

So, we have:

y = 3×3×3×3×..........×3( in n places)

Express as exponent

y = 3^n

Hence, the formula the farm agency could use is y = 3^n

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Answer: y=4^n

Step-by-step explanation: I got the question right and this was the answer, I believe its because the company uses A,B,C and blank spaces so that adds one.

Answer:

158

Step-by-step explanation:

The Formula for Area is: A = L * W

First lets start with the rechtangle:

A = L * W

A = 17 * 7 = 119

the area of the rechtangle is 119

Now the triangle the formula is a little diffrent but it is the same concept

A=hbb (Picture below, it wont let me write it out right)

2=6·13

2=39

The area of the triangle is 39

Now add the both areas

119 + 39 =

158

Original price = $7200

But he bought it for 65%

So it is just 65% of $7200

0.65 * $7200 = $4680

Answer: 700

Step-by-step explanation:

175 * 4 = 700

Answer:

700

Step-by-step explanation:

To solve this problem you multiply 175 by 100 and then divide the total by 25 as follows: (175 x 100) / 25

When we put that into our calculator, we get the following answer:

700