Mathematics College

Suppose your family lives in Muntinlupa City (one of the West Valley Fault Line area) and decided to move in to the work place of your father in Teresa, Rizal which is approximately 50 km apart, if renting a van costs an initial amount of 4000php for maximum of 30km and an additional payment of 200php for every 5km, how much will your father pay in renting a van from Muntinlupa City to Teresa, Rizal? {attach only 1 picture of your table/answer}

Answers

Answer 1

Step-by-step explanation:

it is 50 km in total.

30 km are already covered by the initial rental amount (4000).

what is left is 50-30 = 20 km.

for these 20 km he has to pay 200 for every 5 km.

how many 5 km units are in 20 km ?

well, 20/5 = 4

so, he needs to pay additionally 200×4 = 800php.

therefore, the total cost will be

4000 + 800 = 4800php

Related Questions

Let simplify :- 2 ⅓ ÷ 1 ⅛ ÷ 2 ¼

Answers

Step-by-step explanation:

7/2 ÷ 9/8 ÷ 9/4

7/2 × 8/9 × 4/9

= 112/81

= 1 ³¹/81

[tex]\large\huge\green{\sf{Question:-}}[/tex]

2 ⅓ ÷ 1 ⅛ ÷ 2 ¼

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

=2 ⅓ ÷ 1 ⅛ ÷ 2 ¼ =???

=7/2 ÷ 9/8 ÷ 9/4

=7/2 × 8/9 × 4/9

= 224/162

=112 /81

=1 ³¹/81

Determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form

15, 11 ,7, …

Answers

Answer:

This is the arithmetic sequence which has a common difference that equals to -4.

Step-by-step explanation:

An arithmetic sequence is a sequence with common difference. A common difference can be found by subtracting previous term with next term.

A common difference can be expressed in [tex]\displaystyle \large{d=a_{n+1}-a_n}[/tex] where d stands for common difference.

________

Moving to the question given. We have a sequence with given 15,11,7, ... first subtract 15 with 11.

11-15 = -4

7-11 = -4

Therefore, we can conclude that the common difference is -4 thus making the given sequence an arithmetic.

Let me know if you have any question so regarding the sequence!

A line with a slope of 2 passes through the point (3,9).
Write an equation for this line in point-slope form.

Answers

Answer:

y-9=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-9=2(x-3)

The impact on sampling of increasing the sample size is: There is no specific relationship between sample size and sampling error.

Answers

Using margin of error, it is found that increasing the sample size results in a smaller sampling error.

The equation for the margin of error is given by:

[tex]M = c\frac{s}{\sqrt{n}}[/tex]

In which:

c is the critical value according to the distribution used.s is the standard deviation, either of the sample or of the population.n is the sample size.

From the equation, it can be noted that the margin of error is inversely proportional to the square root of the sample size, hence, increasing the sample size results in a smaller sampling error.

To learn more about margin of error, you can take a look at https://brainly.com/question/25821952

line passes through the points (4,-2) and the slope is 5/4 write an equation in slope intercept form

Answers

Answer:

y=5/4x -7

Step-by-step explanation:

Hope this helps!

A triangle has two angles with measures of 50 degrees and 70 degrees joined by a side with a length of 20 centimeters.
Which figure represents this triangle?
709
50
O
20
50
2009
70
o
500
709
20
20
70°
50°

Answers

Answer:

Step-by-step explanation:

Given :-

Two angles in a triangle have measurements of 20° and 50 °.

To Find :-

Measurement of third angles of triangle

Solution :-

We know that the sum of all angles of triangle is 180°.

Measurement of third angles = x

20° + 50° + x = 180°

combine like terms

70° + x = 180°

subtract both sides from 70°.

70° - 70° + x = 180° - 70°

x = 110 °

Hence, the measurement of the third angie of a triangle is 110°.

Answer:

The third option is the correct answer.

To bring a "carry-on" bag onto an airplane the bag needs to weigh less than 25 pounds. Right now Julie's carry-on bag weighs 32 pounds. How much weight must Julie remove from her bag?

Answers

My answer needs to be 32-25=7

1) f(4) = g(4)
2) f(4) = g(-2)
3) f(2) = g(-2)
4) f(-2) = g(-2)

Answers

Answer: 4)

Step-by-step explanation:

f(4) = -14

g(4) = 10

g(-2) = 4

f(2) = -8

f(-2) = 4

The correct statement is 4) f(-2) = g(-2)

Or by inspection, we can see that the graph f(x) intersects g(x) at x = -2 and y = 4. So, f(-2) = g(-2) = 4 is true

The table shows the final score of four golfers.
Golfer Final Score
Joe
-2
Allen
-5
Tara
-8
Violet
-4
Whose score was the lowest? Whose was the highest? Select your answers from the drop-down lists.
score was the lowest.
score was the highest.
Students, draw anywhere on this slide!
PER Deck eractive Skoe

Answers

highest is joe because it the most closest to 0
Lowest is Tara because it the most far from 0

Answer:

Joe score was the highest. Tara score was the lowest.

Step-by-step explanation:

find the value of X in the following figures

Answers

Answer: 70

Step-by-step explanation:

Diagonals of a rhombus bisect each other at right angles, so

[tex]x+20=90\\\\x=\boxed{70}[/tex]

[tex]2 \frac{2}{3} + 3 \frac{1}{3} + 1 \frac{2}{3} [/tex]
aaaaaaaaaadddddddd

Answers

Solution, [tex]=2 \frac{2}{3} + 3 \frac{1}{3} + 1 \frac{2}{3} \\ = 2 + 3 + 1 + \frac{2}{3} + \frac{1}{3} + \frac{2}{3} \\ = 6 + \frac{2 + 1 + 2}{3} \\ = 6 + \frac{5}{3} \\ = 6 + 1 + \frac{2}{3} \\ 7 \frac{2}{3} [/tex]Alternatively,[tex] = 2 \frac{2}{3} + 3 \frac{1}{3} + 1 \frac{2}{3} \\ = \frac{8}{3} + \frac{10}{3} + \frac{5}{3} \\ = \frac{23}{3} \\ =7 \frac{2}{3} [/tex]

~nightmare5474~

[tex]2\frac{2}{3} + 3\frac{1}{3} + 1\frac{2}{3} = 7\frac{2}{3} [/tex]

let's convert each mixed fraction into improper fractions. Therefore,

What are Improper fractions:

Improper fractions are fractions that has the numerator bigger than the denominator.

[tex]2\frac{2}{3} = \frac{8}{3} [/tex]

[tex]3\frac{1}{3} = \frac{10}{3} [/tex]

[tex]1\frac{2}{3} = \frac{5}{3} [/tex]

Therefore,

[tex]\frac{8}{3} + \frac{10}{3} + \frac{5}{3} [/tex]

[tex] \frac{8}{3} + \frac{10}{3} + \frac{5}{3} = \frac{8 + 10 + 5}{3} = \frac{23}{3} [/tex]

Let's convert our answer back to mixed fractions

[tex]\frac{23}{3} = 7\frac{2}{3} [/tex]

Answer:

[tex]6 + 5 = 11 + 3 = 14 + 2 = 16[/tex]

[tex]6 \div 5 \div 3 \div 2 = 0.2[/tex]

[tex] 6 \times 5 \times 3 \times 2 = 180[/tex]

Step-by-step explanation:

If its addition add them, multiplication multiply them, division divided them.

Answer:

Step-by-step explanation:

i need help sorry no answer got u

Evaluate.

(jk−1)÷j when j=−4 and k=−0.7

Enter your answer as a decimal in the box.

Answers

Answer:

(jk - 1) / j

jk = (-4 x -0.7) = 2.8

(2.8 - 1) / - 4

1.8 / -4 = -0.45

Answer is -0.45 when j = -4 and k = -0.7

Solve the evens and I will mark you brainliest when available.

Answers

Answer:

The solution is in the photo

Solve for x: one over eight 1/8(8x + 15) = 24

Answers

Answer:

22[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

I hope this helps!!!

Jose left the airport and traveled toward the mountains. Kayla left 2.1 hours later traveling 35 mph faster in an effort to catch up to him. After 1.2 hours Kayla finally caught up. Find Jose's speed.

Answers

Answer: 20 mph

========================================================

Explanation:

x = Jose's speed in mph

x+35 = Kayla's speed since she drives 35 mph faster than Jose

Jose gets a 2.1 hour head start and it takes Kayla 1.2 hours to reach him. So this means Jose has been driving for 2.1+1.2 = 3.3 hours when Kayla reaches him. The distance he travels is

distance = rate*time

d = r*t

d = x*3.3

d = 3.3x

while Kayla's distance equation is

d = r*t

d = (x+35)*1.2

d = 1.2x+42

Since Kayla meets up with Jose at the 1.2 hour mark, this means the two distances they travel is the same. Set their distance expressions equal to one another. Solve for x.

3.3x = 1.2x+42

3.3x-1.2x = 42

2.1x = 42

x = 42/(2.1)

x = 20

Jose's speed is 20 mph, while Kayla's speed is x+35 = 20+35 = 55 mph.

Jose's fairly slow speed is probably due to a number of factors such as heavy traffic, icy roads, or poor visibility. Kayla probably got a bit of a break with more favorable conditions.

Since Jose travels at 20 mph and does so for 3.3 hours, he travels d = r*t = 20*3.3 = 66 miles. Kayla travels d = r*t = 55*1.2 = 66 miles as well. We get the same number each time to help confirm the answer.

Find the equation of a line that intersects with y=2x-1 on the y-axis and is parallel to y=-x. Please explain.

Answers

3,243.6 will be the 17% interest rate of the 5 years so 3,243.6+19,080= 22,323.6

What is an equivalent ratio

Answers

Answer:

Equivalent ratios (which are, in effect, equivalent fractions) are two ratios that express the same relationship between numbers. We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number. Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.

when 2 ratios are the same or equivalent by simplifying. For example 1 to 4 is the same as 2 to 8 because when I simplify it i get 1 to 4

Classify the Triangle by its sides and angles. 140° Right Scalene Right Isosceles Equilateral Obtuse Isosceles Acute Isosceles Obtuse scate Acute Scalene

Answers

Answer: Obtuse Isosceles.

Explanation: Two angles are congruent, which means the triangle is isosceles. One angle is over 90°, which means the triangle is obtuse.

Help me please i really need it

Answers

Answer:

Step-by-step explanation:

RSB is a right angle

12. RSB is 90 degrees

13. A right angle is 90 degrees

H is between P and S

14. PS + PH = HS

15. Deductive Reasoning

How do I multiply a fraction and a whole number? Please explain step by step to get marked

Answers

Any whole number can be written as a fraction. All we do is place the number over 1.

For example, the whole number 7 is the same as the fraction 7/1.

If we wanted to multiply the whole number 7 with the fraction 2/3 then...

[tex]7 * \frac{2}{3}\\\\\frac{7}{1} * \frac{2}{3}\\\\\frac{7*2}{1*3}\\\\\frac{14}{3}\\\\[/tex]

In the jump from the second step to the third step, we multiply straight across. The numerators multiply together. The denominators multiply together. The fraction 14/3 cannot be reduced because 14 and 3 don't have any factors in common other than 1.

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