Holly and her two friends went to the movies and total Holly paid 24$ for 3 tickets. how much did one ticket cost
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Answer:

x = 36.87 degrees.

Step-by-step explanation:

4 cos x + 3 sin x = 5    

Use the Auxiliary angle method:

R sin (α  + x) = R sin α cos x + R cos α  sin x

Comparing coefficients:

R sin α  = 4 and R cos α  = 3

R sin α / R cos α  = 4/3

So tan α  = 4/3

α  = 53,13 degrees.

Now R^2(sin^2 α + cos^2 α ) = 3^2 + 4^2 = 25

R^2 = 25

R = 5.

R sin (x + 53.13) = 5

5 sin ( x + 53.13) = 5

sin (x + 53.13) = 1

x  + 53.13 = 90

x = 36.87 degrees.

Answer:

∠ U = 117°

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent.

∠ T = ∠ Q = 27°

The sum of the 3 angles in a triangle = 180°, thus

∠ U = 180° - (∠ s + ∠ T) = 180° - (36 + 27)° = 180° - 63° = 117°

Answer:

1/3

Step-by-step explanation:

David cooks 6 cups of rice and his family eats 4 cups. To find the fraction, we must first do 6-4 to get 2. We place 2 in the numerator and 6 in the denominator. We have 2/6. We can simplify 2/6 by dividing both the numerator and the denominator by 2 to get 1/3.

Answer:

true

Step-by-step explanation:

2*3=6-4=2 5>2 yeaaaaaa

Answer:

0.975 pasta pounds per minutes

Step-by-step explanation:

8 (X amount of pasta) = 7.8 Pounds

x= 7.8/8

x = 0.975

Answer:

3.1 x 10^9

Step-by-step explanation:

(2.8 x 10^9) + (3 x 10^8)​ = (28 x 10^8) + (3 x 10^8)​

                                       = (28+3) x 10^8

                                       = 31 x 10^8

                                       = 3.1 X 10^9

Answer:

see attached picture shown

Answer:

y= -5x+2

Step-by-step explanation:

y = mx+b

The midpoint is [tex](\frac{1}{2}, \frac{13}{2})[/tex]

The distance between points S and T is 7.1 units

Solution:

Given points are S(−2, 4) and T(3, 9)

Find the coordinates of the midpoint of ST

The midpoint is given as:

[tex]m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)[/tex]

Here in this sum,

[tex](x_1, y_1) = (-2, 4)\\\\(x_2, y_2) = (3, 9)[/tex]

Substituting the values, we get

[tex]m(x, y)=\left(\frac{-2+3}{2}, \frac{4+9}{2}\right)\\\\m(x, y)=\left(\frac{1}{2}, \frac{13}{2})[/tex]

Thus the midpoint is [tex](\frac{1}{2}, \frac{13}{2})[/tex]

Find the distance between points

The distance is given by formula:

[tex]d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}[/tex]

Here in this sum,

[tex](x_1, y_1) = (-2, 4)\\\\(x_2, y_2) = (3, 9)[/tex]

Substituting the values, we get

[tex]\begin{aligned}&d=\sqrt{(3-(-2))^{2}+(9-4)^{2}}\\\\&d=\sqrt{5^{2}+5^{2}}\\\\&d=\sqrt{25+25}\\\\&d=\sqrt{50}=7.071 \approx 7.1\end{aligned}[/tex]

Thus the distance between points S and T is 7.1 units

The coordinates of the midpoint [tex]\( M \) are \( (0.5, 6.5) \),[/tex] and the distance between points S and T approximately 7.0 units.

To find the coordinates of the midpoint M of the line segment ST, we use the midpoint formula:

[tex]\[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \][/tex]

 Given the coordinates of [tex]\( S \) and \( T \) are \( S(-2, 4) \) and \( T(3, 9) \)[/tex] respectively, we substitute these values into the formula:

[tex]\[ M = \left( \frac{-2 + 3}{2}, \frac{4 + 9}{2} \right) \][/tex]

[tex]\[ M = \left( \frac{1}{2}, \frac{13}{2} \right) \][/tex]

[tex]\[ M = (0.5, 6.5) \][/tex]

Now, to find the distance between points S and T,  we use the distance formula:

[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]

Substituting the coordinates of S and T into the formula:

[tex]\[ d = \sqrt{(3 - (-2))^2 + (9 - 4)^2} \][/tex]

[tex]\[ d \approx 5 \times 1.4 \][/tex]

[tex]\[ d \approx 7 \][/tex]

The coordinates of the midpoint  [tex]\( M \) are \( (0.5, 6.5) \),[/tex] and the distance between points S and T  is approximately 7.0 units.

Good morning,

Answer:

Step-by-step explanation:

5+(-4) = 5 - 4 = 1

-4 + (-7) = -(4+7) = -11

since  1 > -11 then 5+(-4) > -4 + (-7)

:)

Answer:

No

Step-by-step explanation:

You only distribute the 3 to the x but not to 1 1/2. In order for the two equations to be the same, you have to distribute 3 to both the x and 1 1/2. Then the answer will look like this : 3x + 4 1/2 or 3x + 9/2

The original expression 3(x + 1 1/2) is not equivalent to 3x + 1 1/2; rather,it simplifies to 3x + 4.5 after distribution and simplification.

Step 1: Distribute the Number Outside the Parentheses:

To determine equivalence, distribute the 3 to both terms inside the parentheses: 3(x) + 3(1 1/2).

Step 2: Simplify Inside the Parentheses:

Multiply 3 by x: 3x.

Multiply 3 by 1 1/2: 3 × 1 + 3 × 1/2

= 3 + 1.5

= 4.5.

Step 3: Combine the Terms:

The distributed expression simplifies to 3x + 4.5.

Step 4: Evaluate the Expression in Question:

The expression provided is 3(x + 1 1/2).

The equivalent expression, as derived, is 3x + 4.5.

Step 5: Compare the Expressions:

The expression 3(x + 1 1/2) simplifies to 3x + 4.5, not 3x + 1 1/2.

Therefore, the original expression 3(x + 1 1/2) is not equivalent to 3x + 1 1/2; rather,it simplifies to 3x + 4.5 after distribution and simplification.

Answer:

[tex]PN=64\ units[/tex]

Step-by-step explanation:

The complete question is

Given the quadrilateral is a rectangle, if LO = 15x+19 and QN = 10x+2 find PN

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are congruent and bisect each other

so

[tex]QN=\frac{1}{2}LO[/tex]

substitute the given values

[tex]10x+2=\frac{1}{2}(15x+19)[/tex]

solve for x

[tex]20x+4=15x+19\\20x-15x=19-4\\5x=15\\x=3[/tex]

Find the length of PN

Remember that

[tex]PN=LO[/tex] ----> diagonals of rectangle are congruent

[tex]LO=15x+19[/tex]

substitute the value of x

[tex]LO=15(3)+19=64\ units[/tex]

therefore

[tex]PN=64\ units[/tex]

Answer:

-x^2

Step-by-step explanation:

Answer:

-x^2

Step-by-step explanation:

Answer:

984 Chips per box

Step-by-step explanation:

41 x 72 = 2952 ÷ 3 (boxes) = 984

Answer:

I got 984 chips per box. (I could be wrong)*

Step-by-step explanation:

My very un-detailed explanation: So you know that there are 41 machines in this potato chip factory and each machine can produce 72 chips every minute. And if this is enough to fill 3 shipping boxes, then the steps to solve this problem is as follows....

1. 41x72=2954 I did this to find the total number of chips that all of the 41 machines make every minute.

2. 2954/3=984 I did this because we know that "2954" chips is the total amount of chips in 3 boxes so to find the amount of chips in each box, we would divide the total number of chips by 3.

Answer: m = -1

Step-by-step explanation: In this problem we're asked to find the slope of the line that contains the points (-2,5) and (6,-3).

Using our slope formula, we take the second y minus the first y which in this case is -3 - 5 over our second x minus our first x which in this case is 6 - -2.

-3 - 5 simplifies to -8 and remember that minus a negative can be thought of as plus a positive so 6 - (-2) can be thought of as 6 + (+2) which is 8.

Now we have -8/8. Notice that our slope can be simplified one step further so we have m = -1.

The variable that's used to represent slope is m.

Answer:

x ≤ -7

Step-by-step explanation:

Symbolically, we have 11 - 3x ≥ 32

and we can solve this for x as follows:

Add 3x to both sides.  We get:

11 - 3x + 3x ≥ 32 + 3x

Then 11 ≥ 32 + 3x

Reversing the order, we get  3x + 32 ≤ 11

Subtracting 32 from both sides, we get:

3x ≤ -21

Finally, dividing both sides by 3 yields:

x ≤ -7

Answer:

5) The correct answer is D.

6) The correct answer is A.

7) m = (10 - 6)/(1 - 0) = 4/1 = 4

The correct answer is C.

8) The correct answer is B.

Answer:

12/3 = 4

Step-by-step explanation:

Answer:

Your answer is C Straight angle

Step-by-step explanation:

The cost of each hamburger is $ 3.5

Solution:

Given that, Daniel purchased one hotdog for $2.50 and three hamburgers

He spent $ 13 in total

Let "H" be the cost of each hamburger

From given,

one hotdog for $2.50 + three hamburgers each for "H" = $ 13

Thus we get,

[tex]1 \times 2.50 + 3 \times H = 13\\\\2.50 + 3H = 13\\\\\text{Solve the above equation for H}\\\\3H = 13 - 2.50\\\\3H = 10.5\\\\\text{Divide both sides of equation by 3}\\\\H = 3.5[/tex]

Thus cost of each hamburger is $ 3.5

Daniel buys one hotdog for $2.50 and three hamburgers, spending a total of $13. We find the cost of each hamburger by the equation $2.50 + 3H = $13, solve for H, and determine that each hamburger costs $3.50.

The problem involves finding the cost of each hamburger that Daniel buys, given that he purchases one hotdog for $2.50 and three hamburgers for a total of $13. To solve this equation, we let H represent the amount each hamburger costs. The total cost of the hotdog and hamburgers together is $13. Therefore, the equation we can write is 1 hotdog + 3 hamburgers = total cost, or $2.50 + 3H = $13. To find H, we subtract the cost of the hotdog from the total cost, which gives us 3H = $13 - $2.50, resulting in 3H = $10.50. Finally, we divide both sides by 3 to find the cost of one hamburger: H = $10.50 / 3, which is H = $3.50. Therefore, each hamburger costs $3.50.

Answer:

75.7(repeating)

Step-by-step explanation:

Answer:

6. ○ [tex]\displaystyle 33,1°; 123,1°[/tex]

5. [tex]\displaystyle See\:above\:image[/tex]

4. [tex]\displaystyle See\:above\:image[/tex]

Explanation:

6. Supplementary Angles sum up to 180°, whereas complementary angles sum up 90°. So, use subtraction for both types of angles:

[tex]\displaystyle 123,1° = -56,9° + 180° \\ 33,1° = -56,9° + 90°[/tex]

* Make sure that they are in the exact same order that exercise gives you.

5. Acute Angles measure greater than 0° and less than 90°.

4. Every segment must have C in it, and you must be EXTREMELY CAREFUL of their markings [ray, segment, and line].

I am joyous to assist you anytime.

Answer:

The answer is, t = 28.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1

8

t+

−5

2

=1

Step 2: Add 5/2 to both sides.

1

8

t+

−5

2

+

5

2

=1+

5

2

1

8

t=

7

2

Step 3: Multiply both sides by 8.

8*(

1

8

t)=8*(

7

2

)

t=28

Answer:

x=-7, y=2. (-7, 2).

Step-by-step explanation:

x-y=-9

x+y=-5

-----------

2x=-14

x=-14/2

x=-7

-7-y=-9

y=-7-(-9)

y=-7+9

y=2

Answer:

The sum of three times j and three times j and the number seven, all multiplied by three.

Step-by-step explanation:

Answer:

6(26-4)= 132

Step-by-step explanation:

There isn't any variable in the equation

Answer:
it is proportional

Step-by-step explanation:

Proportional functions will be in the form y = kx and non-proportional functions will be in the form y = mx + b