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2 years ago

Point B is located between points A and C, AB= X^2-10, BC= 2X +2 and AC= 16 ,solve for X

1 answer:

7 0

Drawing a picture would be helpful.
So you have AB and BC, and AC is ALL of AB and BC. In other words,
AC = AB+BC.
Now plug in what the problem gave you.
(16) = (x^2 -10) + (2x + 2)
16 = x^2 + 2x - 8
0 = x^2 + 2x -24
0 = (x+6)(x-4)
x = -6, 4

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The Martinez family went to the movies and paid $60 for two adult tickets and three children’s tickets. The Wright family consis

Pepsi [2]

Answer:

a = $13.5

Step-by-step explanation:

Let a = adult tickets

Let c = children tickets

Translating the word problem into an algebraic equation;

For the Martinez family;

2a + 3c = $60

For the Wright family;

3a + 5c = $95.5

Thus, the simultaneous equations are;

$2a + 3c = $60$ ..........equation 1

$3a + 5c = $95.5$ .........equation 2

We would use substitution method to solve;

From equation 2, we make a the subject of formula;

3a = 95.5 - 5c

a = (95.5 - 5c)/3

Substituting the value of "a" into equation 1, we have;

2[(95.5-5c)/3] + 3c = 60

Multiplying all through by 3;

2(95.5 - 5c) + 9c = 180

191 - 10c + 9c = 180

191 - c = 180

c = 191-180

c = $11

To find the value of a;

2a +3c = 60

Substituting the value of "c" into the equation, we have;

$2a + 3(11) = 60$

$2a + 33 = 60$

$2a = 60 - 33$

$2a = 27$

$a = \frac{27}{2}$

a = $13.5

Therefore, the cost of an adult movie ticket is $13.5.

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2 years ago

Find an ordered triple to represent a in the equation a= 3f+g if f = (1, -3, -8) and g = (3,9, -1)

Mnenie [13.5K]

Answer:

C. (6,0,-25) on edg2020

just took it

Step-by-step explanation:

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3 years ago

30 + (.0825 x 30) + (15% x 30) =

Vanyuwa [196]

30×·15=4.50

then subtract 30 by 4.50 to get 25.50

.0825×30=2.475

now add 2.475+25.50+30= 57.975 round to 57.98

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2 years ago

Which clock shows the same time?

Leona [35]

Answer:

the answer is C.) 3:07 hope this helps

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3 years ago

Read 2 more answers

When a sound wave uncounters a barrier, what happens?

motikmotik

A. The sound reflects I believe is the answer

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3 years ago