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Shkiper50 [21]
3 years ago
6

your local gas stations are having a price war during the past seven days they have lowered the price of regular gas by $0.2 eac

h day define a variable then write and solve an equation to find the total change in gas price show your work
Mathematics
1 answer:
Serga [27]3 years ago
8 0
<h2>Answer with explanation:</h2>

Let x denotes the number of days and y denotes the total change in gas price ( in dollars).

Given : During the past seven days the price of regular gas is decreased by $0.2 each day.

Rate of decrease =$0.2 per day

Then , Total change in gas price = Rate of decrease x Number of days

i.e.y= 0.2 \times x

i.e. y=0.2x         (1)

To find the total change in gas price in 7 days , we put x= 7 in (1) , we get

y=0.2(7)=1.4    

Hence, the total change in gas price in 7 days = $1.4

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The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.8
Ber [7]

Answer:

0.85

Step-by-step explanation:

Given two events A and B, the probability that either A or B occurs is given by:

p(A\cup B) = p(A)+p(B)-p(A\cap B)

where

p(A) the probability that A occurs

p(B) is the probability that B occurs

p(A\cap B) is the probability that both A and B occur at the  same time

In this problem, we know the following facts:

p(o) = 0.83 is the probability that the car requires an oil change

p(b)=0.17 is the probability that the car requires a brake repair

p(o\cap b) = 0.15 is the probability that the car requires both an oil change and brake repair

Therefore, the probability that either o (car requiring oil change) or b (car requiring brake repait) occur is:

p(o\cup b)=p(o)+p(b)-p(o\cap b)=0.83+0.17-0.15 = 0.85

4 0
3 years ago
Solve the equation: 5 + 2(3 + 2x) = x + 3(x + 1)
Ann [662]

Answer:

No solutions

Step-by-step explanation:

In this question, you would be solving for x.

Solve:

5 + 2(3 + 2x) = x + 3(x + 1)

Use the distributive property.

5 + 6 + 4x = x + 3x + 3

Combine like terms.

11 + 4x = 4x + 3

Subtract 4x from both sides.

11 = 3

Since we don't have an "x value", there are no solutions.

"No solutions" would be your answer.

5 0
3 years ago
Which of the following is an extraneous solution of sqrt 4x + 41 = x+5
stiv31 [10]

Answer:

x=-8

Step-by-step explanation:

\sqrt{4x+41}=x+5

on squaring both sides

4x+41=(x+5)^2\\\\4x+41=x^2+10x+25\\\\x^2+6x-16=0\\\\x^2+8x-2x-16=0\\\\x(x+8)-2(x+8)=0\\\\(x-2)(x+8)=0

either x-2=0  or  x+8=0

either x=2 or x=-8

Putting x=2 in original equation, we get

\sqrt{4\times 2+41}=2+5

7=7 hence, it is not an extraneous solution

Putting x=-8 in original equation

\sqrt{4\times (-8)+41}=-8+5

i.e. 3=-3

Hence, x=-8 is an extraneous solution (since it doesn't satisfy the original equation)

3 0
3 years ago
Read 2 more answers
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dusya [7]
You add all the numbers & divide it by how many numbers 8 +9+9+9+10+10
7 0
3 years ago
Read 2 more answers
What is the length of AB?
kramer

Answer:

We are given to find the length of side AB. We know that in a triangle, if two angles have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.

Hope this helps!!

3 0
3 years ago
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