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Vitek1552 [10]
2 years ago
9

First correct response gets brainliest

Mathematics
1 answer:
Simora [160]2 years ago
5 0

Answer:

x = 13

Step-by-step explanation:

This question is based on Secant Secant theorem.

Secant Secant theorem gives us the following formula:

(AB + BD)AB = (AC + CE).AC

From the above question we have the following parameters

AB = 5

BD = x

AC = 7.5

CE = 4.5

Hence,

(AB + BD)AB = (AC + CE).AC

(5 + x)5 = (7.5 + 4.5)7.5

25 + 5x = 90

Collect like terms

5x = 90 - 25

5x = 65

x = 65/5

x = 13

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Miss Kito’s car holds 18 gallons of gasoline. As she was driving, she noticed that the fuel gauge indicated that she had 1/5 of
jonny [76]

We will see that the cost of filling the tank is $38.88, and at the final of the trip she will have 4 gallons on the tank.

<h3>How much costs to fill the tank?</h3>

a) The car holds 18 gallons, and it has 1/5 of the tank remaining.

Then in the tank there are:

(1/5)*18 = 3.6 gallons.

Then we need 18 gal - 3.6 gal = 14.4 gal

And each gallon costs $2.70, then to fill the tank, Miss Kito needs:

(14.4)*$2.70 = $38.88

b) Now we know that the car travels 26 miles per gallon, and she needs to travel a total distance of 364 miles.

Then she needs:

\frac{364mi}{26 mi/gal} = 14 gal

To travel that distance, and the car holds 18 gallons, so at the end of the trip, she will have 4 gallons of gasoline in her car.

If you want to learn more about algebra, you can read:

brainly.com/question/4344214

7 0
2 years ago
Please help me with this question. I will mark brainliest
Hatshy [7]

Answer:

19,350.4 or 19,350 if they want it rounded

Step-by-step explanation:

To find the mean you must add up all the numbers. Then, divode that sum by the amount of numbers you added up.

Explanation:

16,746 + 18,423 + 20,536 + 19,572 + 21,475 = 96,752

96,752/5 = 19,350.40

Hope this helps you out!! : )

4 0
3 years ago
40.51x+12.45y=666.64
irga5000 [103]

Answer:

The graph of the equation 40.51x+12.45y=666.64 is attached with the answer where the horizontal axis represents the X axis and the vertical axis represents Y axis.

To plot the graph physically just find two points lying on the line. Mark the points on the graph sheet and then join them. This will give you the line represented by the equation.

To find points on the line assume the value of any one variable, substitute it in the equation, then solve the equation to find the value of other variable. For example : assume y = 1; substitute the value of y in the equation;

⇒ 40.51x + 12.45×1 = 666.64

⇒ 40.51x = 666.64 - 12.45

⇒ 40.51x = 654.19

⇒ x = \frac{654.19}{40.51}

⇒ x ≈ 16.149

Therefore point ( 16.149 , 1 ) lie on the graph of the equation.

***Only two points are required to plot this graph just because it represents a straight line, that we can conclude just by observing the equation. If in an equation the power of x is 1 or 0 and power of y is 1 or 0 then only it will represent a straight line in 2-D plane.***

5 0
3 years ago
Need help please answer this question
Aleks04 [339]

Answer:

C

Step-by-step explanation:

Substitute the given values for x and y into the expression

5 × (\frac{60}{6(5)}) - 1

= 5 × (\frac{60}{30}) - 1

= (5 × 2)  - 1

= 10 - 1

= 9 → C

4 0
3 years ago
How many times does 75 go into 375
Delvig [45]
Would go into 375, 5 times.
7 0
3 years ago
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