MATHEMATICS HIGH SCHOOL

5. A car uses 10 litres of petrol in 75 km. How far will it go on 8 litres?

Answers

Answer 1

Answer:

Answer:

60km

Step-by-step explanation:

75/10=x/8

Solve For X

75*8=600, 600/10=60

THEREFORE

75/10=60/8

You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage

Answer 2

Answer:

Answer:

60km

Step-by-step explanation:

Let x represent the required distance.

Since the quantity of petrol is directly proportional to the distance:

x : 75 = 8 : 10

i.e. $(x)/(75)$ = $(8)/(10)$

x = $(75 * 8)/(10)$

x = 60

∴ The distance is 60 km.

Hope this helps!!!

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Given that (2,3) is on the graph of f(x),find the corresponding point for the function f(x) - 4

If m∠3 = 54°, find the measure of each missing angle.

Answers

Uisbg multiple line and angle theorems, the values of each of the 14 angles are given.

Using the geometry theorems :

1.)

∠2 is a right angle = 90°

2.)

∠1 + ∠2 + ∠3 = 180° (sum of angle on a straight line)

90 + ∠1 + 54° = 180°

∠1 = (180 - 144) = 36°

(∠2 and ∠5) ; (∠3 and ∠6) ; (∠1 and ∠4) are vertically opposite ;

Hence,

∠4 = 36°

∠5 = 90°

∠6 = 54°

∠3 = ∠8 = 54° (corresponding angles)

∠9 + ∠8 = 180° (sum of angle on a straight line)

∠9 = (180 - 54) =126°

∠7 = ∠9 = 126° (vertically opposite angles)

∠8 = ∠10 = 54° (vertically opposite angles)

∠4 = ∠13 = 36° (corresponding angles )

∠12 + ∠13 = 180° (sum of angle on a straight line)

∠12 = (180 - 36) =126°

∠11 = ∠13 = 36° (vertically opposite angles)

∠12 = ∠14 = 126° (vertically opposite angles)

Learn more about angles :brainly.com/question/18868430?referrer=searchResults

Final answer:

To find the measure of the missing angles, use the fact that the sum of angles in a triangle is 180 degrees. Substitute the given value and solve for the missing angles. The measure of each missing angle is 126 degrees.

Explanation:

To find the measure of the missing angle, we can use the fact that the sum of angles in a triangle is 180 degrees. Since we know that m∠3 = 54°, and angles 1 and 2 are adjacent angles, we can use the equation:

m∠1 + m∠2 + m∠3 = 180

Substituting the given value for m∠3, we get:

m∠1 + m∠2 + 54 = 180

Now we can solve for the missing angles by rearranging the equation:

m∠1 + m∠2 = 180 - 54

m∠1 + m∠2 = 126

So, the measure of each missing angle is 126 degrees.

Learn more about Triangles here:

brainly.com/question/29083884

#SPJ3

Ella and Kate played basketball last year. Ella scored 16 points per game. Kate's total points for the season were 22 less than Ella's. The following expression shows Kate's total points: 16z-22 In the expression what does the variable z represent?

Answers

The total number of games!

In the given, it is stated that Ella scored 16 points per game and that the total points of Kate were 22 less than Ella's.

If we wish to get Kate's total points and letting x as the total number of games and y as the total points, then
y = 16x - 22

Therefore, z = x, and z is the total number of games.

Log(6/11)^5 how do you expand that

Answers

5 * log ( 6 / 11 ) = 5 * ( log6 - log11 ) = 5 * [ log(2 * 3) - log11] = 5 * (log2 + log3 - log11 ).

We know that C log a = log a^C.
We know that log (x/y) = log x - log y
We know that log xy = log x + log y
Therefore... log(6/11)^5 =
5 * log (6/11). Which can be expanded to...
5 (log 6 - log 11) ... 5 (log 3 + log 2 - log 11)

Its a law of logarithms.

Find the zeros of the following factored quadratic function.
f(x) = (9x - 1)(7x - 3)

Answers

Answer:

63x^2-34x+3

Step-by-step explanation:

if Scott wood makes 91% of all his free throws then what is the probability that he will make all of his next 6 attempts

Answers

Well, it seems tome that if he makes 91% of all his free throws, then every time
he steps up to the line, there's a 91% chance that he'll make THAT throw.

Now the basketball has no memory, so the probability is the same for each
attempt, and the probability of succeeding on two consecutive attempts is
91% of the probability of succeeding on the first one, and so on and so forth.

So the probability of 6 consecutive baskets is (91%) x (91%) x ... etc, 6 times.

That's just (0.91)⁶ = 56.787 percent.

56.79%. that is the answer to your question.

QUESTION 1Imported Asset

Marta borrowed $1,380 for 15 months at 13 percent APR. What will be Marta's monthly payment?

A. $101.17

B. $96.76

C. $117.56

D. $106.95

QUESTION 19

Use the table of interest.
Imported Asset

Andrea borrowed $2,240 at 15 percent APR for 18 months. How much interest will she pay?

A. $336
B. $504
C. $448
D. $490

QUESTION 2

Use this table to find the monthly payment.
Imported Asset

Mark borrowed $5,500 at 11.5 percent for five years. What is his monthly payment?
A. $131.50
B. $173.50
C. $120.95
D. $150.22