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vovangra [49]
3 years ago
7

Malia is at an amusement park. She bought 14 tickets, and each ride requires 2 tickets. Write an expression that gives the numbe

r of tickets Malia has left in terms of x, the number of rides she has already gone on. Find at least one other expression that is equivalent to it.
Mathematics
1 answer:
mote1985 [20]3 years ago
6 0
If x is the number of tickets she has left, then 2x is the number she has used (2×number of rides she has gone on). So the number she has left would be...

14 - 2x

We can now find an equivalent expression by replacing the x with a number... for example...

14 - 2(2)

This would be if she rode two rides. You could solve the equation like this...

14 - 2x =
14 - 2(2) =
14 - 4 = 10

After 2 rides she has 10 tickets left.
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Use a quadratic equation to find two real numbers with a sum of -43 and a product of 306.
vlabodo [156]

Answer:

Real numbers = 39 and 9

Step-by-step explanation:

The standard form of a quadratic equation is ax² + bx + c = 0

Given the following data;

a = 1

b = -43

c = 306

Quadratic equation formula is;

x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a}

Substituting into the equation, we have;

x = \frac {-(-43) \; \pm \sqrt {43^{2} - 4*1*306}}{2*1}

x = \frac {43 \pm \sqrt {1849 - 1224}}{2}

x = \frac {43 \pm \sqrt {625}}{2}

x = \frac {43 \pm 25}{2}

x_{1} = \frac {43 + 25}{2}

x_{1} = \frac {68}{2}

x_{1} = 39

x_{2} = \frac {43 - 25}{2}

x_{2} = \frac {18}{2}

x_{2} = 9

Therefore, the two real numbers are 39 and 9.

The quadratic equation now becomes;

x² - 43x + 306 = (x - 39)(x - 9) = 0

4 0
3 years ago
(SAT prep) Find the value of x in each case of the following exercises:
yKpoI14uk [10]

The value of x from the figure is 70°

<h3>How to determine the value</h3>

It is important to note that alternate angles are equal and angles in a triangle sum up to 180°

We then have that,

x + 50 + 60 = 180 °

x + 110 = 180°

Make 'x' subject

x = 180 - 110

x = 70 °

Thus, the value of x from the figure is 70°

Learn more about alternate angles here:

brainly.com/question/24839702

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8 0
2 years ago
True or false: the lateral surface of cone a is exactly 1/2 the lateral surface area of cylinder b
Mazyrski [523]

Answer:

True

Step-by-step explanation:

We have that,

The cone A has the length of the lateral side = h and the height of the cylinder  B = h.

Since, the lateral surface areas are given by,

Lateral surface area of cone = \pi r\times l, where l is the length of the lateral side.

So, we get L_{A} = \pi r\times h.

Also, Lateral surface area of cylinder is 2\pi r\times h, where h is the height of the cylinder.

So, we get L_{B} = 2\pi r\times h

Thus, we see that, L_{A}=\frac{1}{2}\times L_{B}

Hence, the given statement is correct.

6 0
3 years ago
Pls don’t have much time
Vsevolod [243]

Answer:

the answer is b

Step-by-step explanation:

35 occurs the most on the graph meaning that it's the mode

5 0
3 years ago
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8^10 x 8^4 simplified write your answer as a power
boyakko [2]
Answer: 8^14

8^10 x 8^4= 8^14
6 0
3 years ago
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