COMPATIBLE
Activity 3
Solve each problem. Write your solution and answer in your activity notebook.
1
Mr Raciles ordered lunch amounting to Php 500. 00 in a restaurant. If there is a
service charge of 10%, how much should he pay in all?
2. On a test with 50 items, Shiela answered 62% of items correctly. What percent of
the questions did she miss?
3. Jana paid PhP 420. 00 for a dress similar to Queenie's. Queenie said that this is 105%
of what she paid. How much did Queenie pay?
4. Among the 920 students of Princess Urduja Elementary School, 90% are walking
to school. How many are walking to school? How many are riding to school?
5. The total number of voters of Barangay San Isidro is 3,050. If 60% are males, how
many are females?
6. There are 50 households in Barangay Magtulongan. If 65% of them received
financial help, how many families received financial aid?
7. John deposited his PhP 10,000. 00 savings in a bank. It has a 2% interest every
month. How much is the interest of his money after a month?
8. Sarah Geronimo's concert sold 2 million worth of tickets, the 80% gain will be
given to a charitable institution. How much is the share of the charitable institution?
9. Jason answered 98% of his test correctly. If there were 50 items in the test, how
many items did he answer correctly?
10. There are 50 students in a class. If 90% of them were present, how many attended
the class?​

Answers

Answer 1

1. So, Mr. Raciles should pay Php 500.00 + Php 50.00 = Php 550.00 in all.

1. To calculate the total amount Mr. Raciles should pay, we need to add the service charge to the original amount. The service charge is 10% of Php 500.00, which is:

10% of Php 500.00 = 0.10 x Php 500.00 = Php 50.00

2. To determine the percent of questions Shiela missed, we subtract her correct answers from the total number of questions and find the percentage. Shiela answered 62% of the 50 items correctly, which means she missed:

100% - 62% = 38%

So, Shiela missed 38% of the questions.

3. Jana paid Php 420.00 for a dress, which is 105% of what Queenie paid. To find the amount Queenie paid, we need to divide Php 420.00 by 105%:

Queenie's payment = Php 420.00 / 105% = Php 400.00

Therefore, Queenie paid Php 400.00.

4. Among the 920 students, 90% are walking to school. To find the number of students walking and riding to school, we can calculate it as follows:

Number of students walking to school = 90% of 920 = 0.90 x 920 = 828 students

Number of students riding to school = Total students - Students walking = 920 - 828 = 92 students

Therefore, 828 students are walking to school, and 92 students are riding to school.

5. If 60% of the voters in Barangay San Isidro are males, the remaining percentage represents the females:

Percentage of females = 100% - 60% = 40%

To find the number of females, we multiply the percentage by the total number of voters:

Number of females = 40% of 3,050 = 0.40 x 3,050 = 1,220 females

So, there are 1,220 females in Barangay San Isidro.

6. If 65% of the households received financial help, we can calculate the number of families that received aid as follows:

Number of families received financial aid = 65% of 50 = 0.65 x 50 = 32.5

Since we cannot have a fraction of a family, we round down to the nearest whole number. Therefore, 32 families received financial aid.

7. John's savings of Php 10,000.00 earns a 2% interest every month. To calculate the interest after a month, we multiply his savings by the interest rate:

Interest = 2% of Php 10,000.00 = 0.02 x Php 10,000.00 = Php 200.00

So, the interest on John's savings after a month is Php 200.00.

8. The total worth of tickets sold for Sarah Geronimo's concert is Php 2 million. The 80% gain given to the charitable institution can be calculated as follows:

Share of the charitable institution = 80% of Php 2,000,000.00 = 0.80 x Php 2,000,000.00 = Php 1,600,000.00

Therefore, the share of the charitable institution is Php 1,600,000.00.

9. If Jason answered 98% of the test correctly and there were 50 items, we can calculate the number of items he answered correctly as follows:

Number of items answered correctly = 98% of

50 = 0.98 x 50 = 49

Jason answered 49 items correctly.

10. If 90% of the 50 students in the class were present, we can calculate the number of students who attended the class as follows:

Number of students attended = 90% of 50 = 0.90 x 50 = 45

Therefore, 45 students attended the class.

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Related Questions

Find the slope of any line parallel to the line through the given points (3,2),(3,1)

Answers

Answer:

the qoustion is not correct

Convert to equation: four times a number increased by 8 is 24 ​

Answers

Answer:

4*4

Step-by-step explanation:

since 4 times 4 is 16 then if you add 8 its 24

please help, first person with the right answer will be rewarded!!​

Answers

Suhana suhana suhana suha
step by step explanation:

What is the inequality for -8x>48

Answers

Answer: x<−6

Step-by-step explanation:

Henrik is buying a television it has a 38 inch screen (this is the diagonal measurement). If it is 18 inches tall, how wide is the screen?

Answers

Answer:

18 inches

Step-by-step explanation:

In geometry the shorter side is the width.

Therefore 18 inches is the width.

(I didn't really get this question)

Find the slope of any line parallel to the lien through the given points (3,2),(3,1)

Answers

Answer:

m = undefined

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Parallel lines have the same slope but different y-interceptsAn undefined line is a vertical lineSlope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, 2)

Point (3, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{1-2}{3-3}[/tex][Fraction] Subtract:                                                                                         [tex]\displaystyle m=\frac{-1}{0}[/tex]Simplify:                                                                                                          m = undefined

How many solutions does this equation have?
10n + 8 = 3 + 10n

Answers

There are no values of x that make the equation true.
Answer: No Solution
The equation has 2 solutions: -0.8 and -0.3.

Explanation:

10n + 8 = 3 + 10n

10n+8 = 0 ............. (1)
3+10n = 0 ............. (2)

(1):
10n+8 = 0

10n = -8

n = -8/10 or -0.8

(2):
3+10n = 0

10n = -3

n = -3/10 or -0.3

whoever knows how to solve this please help!​

Answers

Answer:

418ft²

Step-by-step explanation:

Find the surface area of both triangle shaped sides.

8 * 12 = 96

96 / 2 = 48 (surface area of one triangular side)

48 * 2 = 96

Find the surface area of both square shaped sides.

10 * 10 = 100

100 * 2 = 200

Find the surface area of the rectangular base side.

12 * 10 = 120

Add everything together.

96 + 200 + 120 = 418

Best of Luck!

(cosec a + 1)*(1 - sin a)= cos a* cot a

Answers

Answer:

See proof below

Step-by-step explanation:

Given the equation, we are to prove that it is true

(cosec a + 1)*(1 - sin a)= cos a* cot a

From LHS

(cosec a + 1)*(1 - sin a)=

Expand

cosec a - cosecasina + 1 - sina

Since cosec a = 1/sina

1/sina - (1/sina)sina + 1 - sina

1/sina - 1 + 1 - sina

1/sin a - sina

Find the LCM

1-(sin^2a)/sina

cos^2a/sina

cosa * cosa/sina

cos a * cot a (which gives the RHS)

On coordinate plane point located at (- 1, - 2) and point K located at (8, 10) What is the distance, in units from point to point

Answers

Answer:

The answer would be 17

Step-by-step explanation:

Answer:

i belive your answer would be 8.5 units if i did the math correctly, im very sorry if thats wrong.

I hope this helps! :)

2. The equation y = -7x - 5 and another equation have a solution of (-2, 9). Which of the
following could be the second equation?
Oy= *x + 10
O y=2x+5
Oy=-*+7
O y=3x-3

Answers

The answer should be y=3x-3 hope this helps!

Select all the points that are on the graph of the function defined by y = 2x + 3
a. (-4,3)
b. (-1,1)
C. (0,0)
d. (2,7)
e. (3,9)
f. (3,12)
g. (4.5, 12)​

Answers

Answer:

b, d, e, g are the points

The coordinates (-, 1), (2, 7), (3, 9) and (4.5, 12) are the points that are on the graph of the function. Therefore, the options B, D, E and G are the correct answers.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is y=2x+3.

A) Substitute (x, y)=(-4, 3) in y=2x+3, we get

3=2(-4)+3

3≠-5

B) Substitute (x, y)=(-1, 1) in y=2x+3, we get

1=2(-1)+3

1=1

C) Substitute (x, y)=(0, 0) in y=2x+3, we get

0≠3

D) Substitute (x, y)=(2, 7) in y=2x+3, we get

7=2(2)+3

7=7

E) Substitute (x, y)=(3, 9) in y=2x+3, we get

9=2(3)+3

9=9

F) Substitute (x, y)=(3 12) in y=2x+3, we get

12=2(3)+3

12≠9

G) Substitute (x, y)=(4.5, 12) in y=2x+3, we get

12=2(4.5)+3

12=12

Therefore, the options B, D, E and G are the correct answers.

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17. Convert 37/6 to a mixed number.
A. 55/6
B. 6576
C. 6/6
D. 62/3

Answers

Answer:

6 1/6.

Step-by-step explanation:

That would be 6 1/6. Because 37/6 = 6 remainder 1, which is 1/6, so 6 1/6.

determine if f (x) = -x^3 + 4x^2 +7x - 6 is a odd or even degree

Answers

Answer:

Neither

Step-by-step explanation:

It has a y intercept, which is -6, which changes the whole graph, so its neither

Answer:

odd

Step-by-step explanation:

the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is -x^3

the degree is 3, which is odd

p is directly proportional to the square of q. it is known that p=12 for a certain value of q. find the value of p when q is doubled ​

Answers

Answer:   p = 48

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

Explanation:

We're told that "p is directly proportional to the square of q", which means that we have the equation

p = k*q^2

for some constant k

Replace p with 12 because we're also told that p = 12.

So we now have this equation

12 = k*q^2

which is the same as

kq^2 = 12

We'll use this later.

-----------------------

Let's go back to the original equation. We'll replace q with 2q to represent the value of q doubling

p = k*q^2

p = k*(2q)^2 ... replace q with 2q

p = k*4q^2

p = 4k*q^2

p = 4*(kq^2)

p = 4(12) ...... replace kq^2 with 12

p = 48

Therefore, if q is doubled, then p = 12 quadruples to p = 48.

solve for the missing side,x

Answers

Answer:

7.44

Step-by-step explanation:

With reference angle 28°

perpendicular (p) = x

base (b) = 14 cm

Now

Tan 28° = p / b

0.532 = x / 14

x = 7.44

Hope it will help :)

Answer:

Step-by-step explanation:

Mariana wears her winter coat when the temperature is colder than -4^{\circ}\text{C}−4 ∘ Cminus, 4, degrees, start text, C, end text. Write an inequality that is true only for temperatures (t)(t)left parenthesis, t, right parenthesis at which Mariana wears her winter coat.

Answers

Answer:

T < - 4°C

Step-by-step explanation:

Given that Mariana wears her coat only when temperature is colder than - 4°C

Recall that lower temperature values indicate higher degree of coldness ;

Hence, Mariana will only wear her coat when temperature values are lesser than - 4°C ; this means that the temperature at that period is colder than - 4°C.

Hence, the inequality expression which is only true for temperatures when Mariana wears her coat can be written as :

Temperature = T

T < - 4°C

Answer:

t < -4

Step-by-step explanation:

Dakota arrived at school at 7:59 a.m. He left at 2:33 p.m. How long was Dakota at school

Answers

Answer:

6 hours and 34 minutes

Step-by-step explanation:

If we add 1 minute to 7:59 it is 8 which makes it easier to see the length of time. Then we add that 1 back in to find the exact amount of time Dakota was in school.

Brainliest please . . . .

1. Does each relation represent a function? Circle Yes or No. a. (2, 2), (2, 6), (3, 5), (1,8) Yes No b. (1, 2), (2, 3), (3, 4), (4, 5) Yes No c. (1, 4), (2, 6), (3, 6), (4, 8) Yes No d. (4, 3), (4, 4), (4, 5), (4, 6) Yes No​

Answers

A. No
B. Yes
C. Yes
D. No

Factor the expression. 48 + 16x

correct answers get brainiest and 5 stars, wrong answers reported

Answers

8(6+2x)

hope that helps^^

I believe the answer is 16(3+x) or 8(2+3x)

PLS HELP 5TH GRADE MATH GIVING BRAINLIEST TO CORRECT ANSWER

Answers

9514 1404 393

Answer:

  line A

Step-by-step explanation:

The "+6" in the equation is the y-intercept. That is the point where the graph crosses the y-axis. Line A has a y-intercept of 6, so that is the graph of the equation.

5. Simplify the expression.
-3+5n+14n+7

Answers

19n+4 is the answer to your question
Your answer would be 19n+4

A line passes through the point (-4,7) and has a slope of 3/2
Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=\frac{3}{2}x + 13[/tex]

Step-by-step explanation:

Given that [tex]x_{1}[/tex] = -4 and [tex]y_{1}[/tex] = 7 (from the point given) and m = [tex]\frac{3}{2}[/tex], we will use the equation [tex]y - y_{1} =m(x-x_{1})[/tex]. Therefore, when we substitute the given values to the equation:

y - y1 = m(x - x1)

y - 7 = 3/2(x - (-4))

y - 7 = 3/2(x + 4)

y - 7 = 3/2x + 6

y = 3/2x + 6 + 7

y = 3/2x + 13

y=3/2x+13 is the equation of line in slope-intercept form

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that a line passes through the point (-4,7)

The slope of the line is 3/2.

We need to find the  equation in slope-intercept form for this line

Let us find the y intercept of line

7=3/2(-4)+b

7=-6+b

13=b

So slope intercept form is y=3/2x+13

Hence, y=3/2x+13 is the equation of line in slope-intercept form

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what does the E stand for in 3.1536e+17

Answers

Answer:

well e stands for like what you multiply

Step-by-step explanation:

like well here is an example y=16e and you have to find what e stands for so E=

e is a natural logarithm. It’s like pi, it has a value associated with itself.

The approximate value for e is 2.71828

What's the circumference of a circle with a radius of 22 inches

no round

Answers

Answer:

22π

Step-by-step explanation:

Ok so the equation for the circumference of a circle is diameter * pi, so you have diameter = 22 and you can plug that into the equation:

diameter * pi --> 22 * pi = 22π

(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.

Answers

Answer:

option D

Step-by-step explanation:

option D is the correct answer .

plz mark my answer as brainlist.

1
How many cubes with side lengths of
3
cm does it take to fill the prism?
CON
cm
coln
cm
1 cm

Answers

Answer:

can you explain the question?

Step-by-step explanation:

Alternate interior and alternate exterior angles can be congruent

True or false

Plss answer

Answers

Answer:

it's false

Step-by-step explanation:

hope it's correct

A new car is purchased for 24800 dollars. The value of the car depreciates at 12% per year. What is the y-intercept (starting value)? *

Answers

Answer:

$24,800

Step-by-step explanation:

that's how much the car costs at year 0

Answer:

Step-by-step explanation:

The starting value, y intercept, is just the initial value as it has not depreciated when time or x is zero.

The equation described is y=24800(0.88)^x

a circle with a circumference of 40.82 centimeters what is the area of the circle is 3.14 for pi​

Answers

You need two formulas for this:

C = πd or C = 2πr ( d = 2r ) Where C is circumference and d is diameter, r is radius

A = πr² Where A is area, and r is radius

First you get the diameter and radius by substituting the value of pi and circumference. With that, you can calculate the Area of the circle with the second formula. square² the radius then multiply it to 3.14. Remember that radius is half of diameter.

Answer:

[tex]\boxed {\boxed {\sf a=132.665 \ cm^2}}[/tex]

Step-by-step explanation:

1. Find the Radius

We are given the circumference of 40.82 centimeters. The formula for circumference is

[tex]c=\pi d[/tex]

The diameter is twice the radius, so we can also write this formula as:

[tex]c= \pi 2r[/tex]

Substitute 40.82 for the circumference and use 3.14 for pi.

[tex]40.82 \ cm= (3.14) 2r[/tex]

[tex]40.82=6.28 r[/tex]

6.82 and r are being multiplied. The inverse of multiplication is division. Divide both sides by 6.82

[tex]\frac{40.82 \ cm}{6.28}=\frac{6.28 r}{6.82}[/tex]

[tex]6.5 \ cm=r[/tex]

2. Calculate the Area

Now we can calculate the area using this formula:

[tex]a= \pi r^2[/tex]

The radius is 6.5 centimeters and we are using 3.14 for pi.

[tex]a= 3.14(6.5 \ cm)^2[/tex]

Solve the exponent.

(6.5 cm)²= 6.5 cm * 6.5 cm=42.45 cm²

[tex]a= 3.14 (42.45 \ cm^2)[/tex]

Multiply.

[tex]a=132.665 \ cm^2[/tex]

The area is 132.665 square centimeters.

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