Find the value of x that makes m
n.
m
n
(180 - x)^

Answer:

1.) 900

2.) 300

3.) 59

4.) 48

5.) 12

Step-by-step explanation:

1.) 300 x 3 = 900

2.) 50 x 6 = 300

3.) 2,124 / 36 = 59

4.) 180 / 36 = 5 | 240 / 5 = 48

5.) 6 / 2 = 3 | 4 x 3 = 12

Hope this helps.

If there is something wrong, please let me know.

Proportional reasoning refers to the ability to compare and analyze relationships between two or more quantities that change in a consistent way. It involves understanding the concept of proportionality and applying it to solve problems.

1.) If a business jet burns 300 gallons of gasoline per hour, it burns 900 gallons of gasoline in a three-hour flight. This can be calculated by multiplying the burn rate of 300 gallons per hour by the duration of the flight, which is three hours.

2.) On average, one gallon of gasoline weighs approximately six pounds. Therefore, fifty gallons of gasoline weighs 300 pounds. This can be calculated by multiplying the weight of one gallon (six pounds) by the quantity of fifty gallons.

3.) For every one yard, there are thirty-six inches. To find the number of yards in 2,124 inches, we divide 2,124 by 36. The result is 59 yards. This can be calculated by dividing the total number of inches by the conversion factor of thirty-six inches per yard.

4.) A person who weighs 240 pounds burns 180 calories per mile of running. A person who weighs 48 pounds, burns thirty-six calories while running one mile. To find the number of pounds for which the person burns thirty-six calories while running one mile, we can set up a proportion. If we let x represent the weight in pounds, the proportion would be: 240 pounds / 180 calories = x pounds / 36 calories. Solving for x gives us x = 48 pounds.

5.) A rice casserole recipe serves four people and requires two tablespoons of butter. If a rice casserole requires six tablespoons of butter, it serves twelve people. This can be determined by setting up a proportion: 4 people / 2 tablespoons = 12 people / 6 tablespoons. Solving for the unknown number of people gives us 12 people.

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Step-by-step explanation:

the answer is

the Value of b to 2

==========================================================

Explanation:

You'll need the chain rule for this one.

[tex]y = 3x^3 + 4x\\\\\frac{d}{dt}(y) = \frac{d}{dt}\left(3x^3 + 4x\right)\\\\\frac{dy}{dt} = \frac{d}{dt}\left(3x^3\right) + \frac{d}{dt}\left(4x\right)\\\\\frac{dy}{dt} = 3\frac{d}{dt}\left(x^3\right) + 4\frac{d}{dt}\left(x\right)\\\\\frac{dy}{dt} = 3*3\left(x^2\right)*\frac{dx}{dt} + 4\frac{dx}{dt}\\\\\frac{dy}{dt} = 9x^2\frac{dx}{dt} + 4\frac{dx}{dt}\\\\\frac{dy}{dt} = (9x^2+4)\frac{dx}{dt}\\\\[/tex]

Now apply substitution

[tex]\frac{dy}{dt} = (9x^2+4)\frac{dx}{dt}\\\\\frac{dy}{dt} = (9*4^2+4)*2\\\\\frac{dy}{dt} = 296\\\\[/tex]

Answer:

296

Step-by-step explanation:

I just did the math and I also got 296.

Answer:

732 m^2

Step-by-step explanation:

Find the area of the full rectangle

33*24 =792

Find the area of the triangle

24-16 = 8

33 -18 =15

The area of the triangle is

A = 1/2 bh = 1/2 ( 15)(8) = 60

Subtract the triangle from the rectangle

792 - 70=732 m^2

Answer:

732 [tex]m^2[/tex]

Step-by-step explanation:

First we can find the area of the shape if the triangle wasn't there. That would be:

24×33=792.

Then, we can find the area of the triangle to subtract that from the total.

The formula for the area of a triangle is [tex]A=\frac{1}{2} bh[/tex].

So [tex]A=\frac{1}{2} (8)(15)[/tex]

I found the base of the triangle by subtracting 16 from 24.

I found the height of the triangle by subtracting 18 from 33.

Now, solve the equation.

[tex]A=\frac{1}{2}( 120)[/tex]

A=60

Then finally, Subtract 60 from 792.

You get 732.

I hope this helps!

yes i do got school

and what about you

Answer:

Answer

Step-by-step explanation:

please like and mark me brainlist

Answer:

Step-by-step explanation:

Selling price (SP) = Rs. 252

Profit% = 5%

[tex]CP=\frac{100}{100+profit}*SP\\\\\ = \frac{100}{105}*252\\\\[/tex]

CP = Rs. 240

Profit = 252 - 240 = Rs. 12

Answer:

C) a $4 profit and $4 loss is the correct answer.

Answer:

B

Step-by-step explanation:

You can plug equations into Desmos as well. Here, you can first cross out c because the graph technically isn't a function. As for the others, D doesn't work because the vertex doesn't match and B is the answer because the parabola opens to the left.  

The equations of the parabola is,

⇒ y = - 2 (x - 4)² - 1

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The vertex of the parabola below is at the point (4, -1).

Now, We can see that;

Parabola is open in - x axis.

And, The vertex of parabola is, (4, - 1)

Thus, The equations of the parabola is,

⇒ y = - 2 (x - 4)² - 1

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Answer:

a. A is disjoint to B

b. A is subset of B

c. A -B

d. A union B complement

e. A intersection B complement

f. B-A complement

Answer:

D. 2, -1

Step-by-step explanation:

I drew it out. I've never done this before

Reflectional symmetry is the quality a design has if it maintains all characteristics when it is reflected across a line or plane. It does not involve translation, rotation about an axis, or rotation about a point.

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

Given data ,

If a design has reflectional symmetry, it looks the same when it is reflected across a line or plane. This type of symmetry is also known as mirror symmetry or bilateral symmetry.

For example, the letter "A" has reflectional symmetry because it looks the same when it is reflected across a vertical line. Similarly, a square has reflectional symmetry because it looks the same when it is reflected across both its vertical and horizontal axes.

Hence , Reflectional symmetry is the quality a design has if it maintains all characteristics when it is reflected across a line or plane.

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Answer:

3

Step-by-step explanation:

:3

Answer:

F. [tex] \sqrt{39} [/tex]

Step-by-step explanation:

By geometric mean theorem:

[tex] {x}^{2} = 13 \times 3 \\ {x}^{2} = 39 \\ x = \sqrt{39} [/tex]

The value of x from the similar side triangles is x = √39

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔADC

Let the second triangle be ΔADB

Now , the side AD is the common side

The measure of ∠ADC = measure of ∠ADB = 90°

So , the triangles ΔADC and ΔADB are similar triangles

Now , corresponding sides of similar triangles are in the same ratio

So , AD / DC = BC / AD

x / 13 = 3 / x

Multiply by x on both side , we get

x² = 39

Taking square roots on both sides , we get

x = √39

Therefore , the value of x is √39

Hence , the similar triangles are solved

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Answer:

Buying price = x = Rs 750

Profit = Rs 120

Step-by-step explanation:

Buying price = x

Selling price = Rs 870

Profit = 16% of x

Profit = selling price - cost price

16% of x = 870 - x

0.16 * x = 870 - x

0.16x = 870 - x

0.16x + x = 870

1.16x = 870

x = 870 / 1.16

x = 750

Buying price = x = Rs 750

Profit = 16% of x

= 0.16 * Rs 750

= Rs 120

Profit = Rs 120

Answer:

C= 40

D= 75

Alternate interior angle

○●○●○●○●○

Hope it helps...

Have a great day!!!

Answer:

2

Step-by-step explanation:

because line a d divided the triangle ABC is into equal parts therefore line BD is equal to line DC which is equal to 2

Answer:

x = 32

Step-by-step explanation:

Given

0.5x = 16 ( divide both sides by 0.5 )

x = [tex]\frac{16}{0.5}[/tex] = 32

Answer:

x=32

Step-by-step explanation:

You have to isolate x, so do the opposite operation, which is division (because 0.5 is multiplying by x). So you divide both sides by 0.5, x is isolated because 0.5/0.5 is 1 and 16/0.5 is 32.

Answer:

S =  {PQ, QP, PR, RP, QR, RQ}

Step-by-step explanation:

We have 3 friends:

Patty (who we can represent with the letter P)

Quinlan (who we can represent with the letter Q)

Rashad (who we can represent with the letter R)

There are two positions, that can be represented as:

First-Second.

Where "first" refers to the student whose name is chosen first, this student will be the president.

"second" refers to the student whose name is chosen second, this student will be the vice president.

For example:

PQ

refers for the case where Patty is the president and Quinlan is the vice-president.

Notice that PQ is different than QP.

The sample space will be the set of all the possible combinations of the elements (P, Q, and R) of the form First-Second, which are just the permutations:

PQ, QP, PR, RP, QR, RQ

Then the sample space is:

S =  {PQ, QP, PR, RP, QR, RQ}

The correct option is the last one.

Answer:

D. S = {PQ, QP, PR, RP, QR, RQ}

Answer:

The answer is 1 [tex]\frac{2}{3}[/tex]

The work is shown on the picture.

Step-by-step explanation: Hope this helps and mark brainliest if ya want :)!

Answer:

2nd Option, 24/7

Step-by-step explanation:

here,

tan T = 7/24

or, cot T = 24/7

Answer:

136 units²

Step-by-step explanation:

Because the prism is isosceles triangular then the top rectangle=7 X 5 as well.

The big rectangle's area = 7 X (5+6+5) = 112 units²

The area of the triangles = 2(base*hight/2) = base *height =6 X 4 =24 units²

Surface area = 112 +24 = 136 units ²

Answer:

136 units² give him brainliest he's right

Step-by-step explanation:

Answer: it will

Step-by-step explanation:

your welcome

Answer:

Step-by-step explanation:

If we divide 24 by 6, we get 4, which is the other factor of 24 when given the one factor of 6. Same goes here. In order to find out what the other factor of [tex]y^2-10y+24=0[/tex] is when given one factor of y - 4, we simply divide the second degree polynomial by y - 4 to get the quotient. The quotient, then, is the other factor. Synthetic division is the easiest way to do this.

If y - 4 is the factor, then by the Zero Product Property, y - 4 = 0 and y = 4. Setting up synthetic division:

4|   1    -10     24

____________

The rule is to start by bringing down the first term, multiplying it by the number outside, then putting that product up under the next term in line:

4|   1     -10     24

             4          

     1

Then add the column, multiply the sum by the number outside, and put that product up under the next term in line:

4|    1     -10     24

               4    -24

      1      -6

And add the last column and that is the remainder. We get a 0 remainder. That means that y - 4 goes evenly into the polynomial and the other factor we are looking for is found in the numbers under the addition line. These numbers are the leading coefficients of the depressed polynomial, the polynomial that serves as the other factor: 1y - 6.

Therefore, the 2 factors that multiply together to give us [tex]y^2-10y+24=0[/tex] are (y - 4)(y - 6) and we can check ourselves by multiplying this out by FOILing to see if the result is the polynomial we started with. It is, so we're all done!

Answer:

its ( y-6 )

Step-by-step explanation:

well if you use the FOIL method you will get that answer. also i took the test and got a 100 so there u go.

Answer:

x=49.0

Step-by-step explanation:

Hi there!

In this right triangle, we're given an angle and the opposing side, and we're trying to solve for the length of the hypotenuse.

In this situation, we can use the sine ratio:

[tex]sin\theta=\frac{opp}{hyp}[/tex]

Plug in the known information

[tex]sin(28)=\frac{23}{x}\\x=\frac{23}{sin(28)}\\x=49.0[/tex]

Therefore, the length of the missing side is 49.0 units when rounded to the nearest tenth.

I hope this helps!

Answer:

80/3

Step-by-step explanation:

try mathw4y it helps alot.

Answer:

x = 80/3

Step-by-step explanation:

(4x+38) + (2x-18)=180

Combine like terms

6x +20 = 180

Subtract 20 from each side

6x+20 -20 = 180-20

6x = 160

Divide by 6

6x/6 = 160/6

x = 80/3

Step-by-step explanation:

The x are the values that you have been given

Answer:the 2nd row, x=0, f(x)=2

Step-by-step explanation:

When x=0, the line touches the y-axis because the f(x) has a value. therefore when x=0, y=2

you'll understand better if you sketch it out

=============================================================

Explanation:

10% in decimal form is 0.10

25% in decimal form is 0.25

The jump from 0.10 to 0.25 is "times 2.5" since (0.25)/(0.10) = 2.5

This means that we have 2.5 times as many apples compared to oranges.

If we have 2 oranges, as mentioned in every answer choice, then we must have 2*2.5 = 5 apples.

Based on this, the answer is either A or B.

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

65% turns into 0.65

The jump from 0.10 to 0.65 is 6.5 since (0.65)/(0.10) = 6.5

So we have 6.5 times as many pears as oranges.

If we had 2 oranges, then we have 2*6.5 = 13 pears

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

To summarize, we have:

2 oranges, 5 apples, 13 pears.

The answer is therefore choice A

Answer:

Step-by-step explanation:

Let the number be 'x'

Quotient of a number and 4  = [tex]\frac{x}{4}[/tex]

Six less than the quotient of a number and 4 : [tex]\frac{x}{4}-6[/tex]

Equation:

[tex]\frac{x}{4} \ - \ 6 = 15[/tex]