Adam has RM500. He keeps 30% of his money in the bank. Calculate the balance of the money he has with him.​

Answers

Answer 1

Answer:

RM350

Step-by-step explanation:

calculate 30% of RM500

= [tex]\frac{30}{100}[/tex] × 500 = 0.3 × 500 = 150

RM150 is left in the bank

and 500 - 150 = RM350 is the money he has with him


Related Questions

What’s 5 more than twice a number

Answers

Answer:

33 is the correct answer

Answer:

2x+5

Step-by-step explanation:

if the number is x

∴ 5 more than twice a number is

       ll                          ll

       V                         V

       +5                        *2

So, 2*x+5

What is line parallel to -x?

Answers

Answer:

I think its -y

Step-by-step explanation:

Answer:

x is my answer

Step-by-step explanation:

i don't know sorry


Simplify each sum or difference. State any restrictions on the variables.
5y + 2 / x y² + 2 x-4 / 4xy

Answers

Simplification of each sum or difference of the given equation [tex]\frac{(5y+2)}{(xy^{2} )}+ \frac{(2x-4)}{4xy}[/tex] is equal to [tex]\frac{(xy+8y+4)}{2xy^{2} }[/tex] .Restriction on the variables is given by x≠0 , y≠0 .

As given in the question,

Given equation is [tex]\frac{(5y+2)}{(xy^{2} )}+ \frac{(2x-4)}{4xy}[/tex]

Simplify the given equation by taking the least common multiple,

[tex]\frac{(5y+2)}{(xy^{2} )}+ \frac{(2x-4)}{4xy}\\\\\\= \frac{20y +8+2xy-4y}{4xy^{2}}\\ \\\\= \frac{2xy+16y+8}{4xy^{2}}\\ \\\\= \frac{xy+8y+4}{2xy^{2}}[/tex]

Restriction on the variables are x≠0 , y≠0.

Therefore, simplification of each sum or difference of the given equation [tex]\frac{(5y+2)}{(xy^{2} )}+ \frac{(2x-4)}{4xy}[/tex] is equal to [tex]\frac{(xy+8y+4)}{2xy^{2} }[/tex] .Restriction on the variables is given by x≠0 , y≠0 .

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find the average of -1/12 + 4/17 - 3/28

Answers

Answer:

16/1071

Step-by-step explanation:

The average is the given by summing all the numbers and deciding by how many numbers you have

So, the answer is given by:

(-1/12 + 4/17 - 3/28) / 3 which yields to 16/1071

Samuel Sandoval sells furniture. He earns 4% commission on the first $2000 of sales. He earns 6%commission on all sales over $2000. Last week his furniture sales totaled $8230. How much did he earn make sure to show your work.

Answers

Answer:

Step-by-step explanation:

hi

Please helppp due soon
Shelly picked out a pair of jeans to purchase that are marked $54.99. She has a coupon that gives her $10 off. She has a SPC card that gives her an additional 10% off the total cost before taxes. What will she pay for the jeans including 13% tax?

Answers

Answer:

assuming the coupon came b4 everything else : $ 45.75

Step-by-step explanation:

ten off of 54.99 is 44.99

10 % of 44.99 is 4.499

44.99 - 4.499 is 40.49

13% of 40.49 is 5.26

so 40.49 + 5.26 is 45.75

please help with math homework

Answers

Using the Pythagorean Theorem, it is found that:

a) The hypotenuse is of 9.49 cm.

b) The new area of the triangle is of 30 cm².

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

For this problem, the sides are given as follows:

3 cm and 9 cm.

Hence the hypotenuse is given by:

h² = 3² + 9²

h = sqrt(3² + 9²)

h = 9.49 cm.

The hypotenuse is of 9.49 cm.

What is the area of a right triangle?

The area of a right triangle of sides a and b is given by half the multiplication of the sides, as follows:

A = 0.5ab.

For this problem, we have that:

The side of 3 cm is increased by 2 cm, hence a = 5 cm.The side of 9 cm is increased by 3 cm, hence b = 12 cm.

Then:

A = 0.5 x 5 x 12 = 30 cm².

The new area of the triangle is of 30 cm².

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write each subtraction equation as an addition equation

a - 9 = 6

p - 20 = -30

z - (-12) = 15

x - (-7) = -10

Answers

Answer:

try it's your self i am sure you can do it.

Step-by-step explanation:

Let's go together

It is given that M is the midpoint of segment . Therefore by the definition of a midpoint. It is also given that Angles and are right angles. Thus, because all right angles are congruent. Since vertical angles are congruent by the vertical angles theorem, . Then, it follows that by the criteria. In congruent triangles, corresponding sides are congruent, thus . In conclusion by definition of congruent angles.

Answers

The congruency can also be tested by three postulates shown in the lesson: ASA (angle-side-angle), SAS (side-angle-side), and SSS (side-side-side). The first one claims that triangles are congruent if two angles and one side (between the angles) of one triangle are equal to two angles and one side of another triangle.

If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

A ∠ ≅ ∠ .

Vertical Angles Theorem: ...

If two angles are supplements of the same angle (or congruent angles), then the two angles are congruent. ...If two angles are complements of the same angle (or congruent angles), then the two angles are congruent. ...If two angles are congruent and supplementary, then each is a right angle.

Indicator marks for sides and angles in a triangle diagram. Indicator marks are used to show whether two or more sides are congruent (equal in measure).

Thus, because all right angles are congruent. Since vertical angles are congruent by the vertical angles theorem.

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The temperature yesterday was 14 degrees Celsius. Today the
temperature dropped 14 degrees Celsius.
What is the current temperature?

Answers

Answer:

0

Step-by-step explanation:14 subtracted by 14 is 0


Which is the 7 th number in this pattern?
8,13,18,23,. . .

(F) 28
(G) 33
(H) 38
( I ) 43

Answers

Answer:

38

Step-by-step explanation:

well done .....I hope it's helpful


Write each number as a percent.
1.72

Answers

= (1.72 / 10) x 100% = 17.2%.

6.13 round each number to the place of the underlined dight 1

Answers

Answer: 6.1

Step-by-step explanation:

If the digit after the underlined digit is 4 or less, then you round down. If the digit after the underlined digit is 5 or more, than you round up.

6.13 rounded to the nearest tenth is 6.1


Write the standard form of the equation of the circle that passes through the given point and whose center is at the origin.
(-6,0)

Answers

The equation of the circle that passes through the point (-6 , 0) and has a center located at the origin is x^2 + y^2 = 36.

Using the distance formula, get the radius of the circle by solving for the distance between the center and the point (-6 , 0).

radius = distance = √(x2 - x1)^2 + (y2 - y1)^2

radius = √(-6 - 0)^2 + (0 - 0)^2

radius= √36

radius = 6

The standard form of the equation of the circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (0 , 0)

r = 6

(x - 0)^2 + (y - 0)^2 = 6^2

x^2 + y^2 = 36

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Anyone know how to solve ?

Answers

Should be y equals zero


Find the sum of each finite arithmetic series. 5+6+7+ . . . . . . +11

Answers

The sum of the given arithmetic series  5+6+7+ . . . . . . +11 is 56.

Suppose we are given an arithmetic series:

   a(1) + a(2) + a(3) + a(4) + .... + a(n)

Then, each term of the series follow the general formula:

a(n) = a(1) + (n-1) . d

Where:

a(n) = nth term

a(1) = first term

d = common difference = a(n) - a(n-1)

We are given:

        5+6+7+ . . . . . . +11

Parameters we get from this series:

a(1) = 5

d = 6 - 5 = 1

a(n) = 11

We need to find n that results in a(n) = 11

Substitute a(n) = 11, a(1) = 5, and d = 1:

a(n) = a(1) + (n-1) . d

11 = 5 + (n-1) . 1

11 = n + 4

n = 7

The sum of the first n terms of an arithmetic series is:

S(n) = n/2 [ a(1) + a(n) ]

S(7) = 7/2 (5 + 11)

       = 7 . 8 = 56

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Find the geometric mean between pair of numbers.
3√5/4 and 5√5/4

Answers

The geometric mean of 3√5/4 and 5√5/4 is 5√3/4.

Geometric mean, like arithmetic mean, is a kind of average and a measure of central tendency.

To solve for the geometric mean, we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc. In other words, geometric mean is the nth root of the product of n values.

The formula for the geometric mean is given by:

GM = n√x1 x2 . . . xn

Solving for the geometric mean between 3√5/4 and 5√5/4 using the formula:

GM = n√x1 x2 . . . xn

where n = 2, x1 = 3√5/4, and x2 = 5√5/4

GM = √(3√5/4)(5√5/4)

GM = √(75/16)

GM = 5√3/4

Hence, the geometric mean of 3√5/4 and 5√5/4 is 5√3/4.

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PLEASE ANSWER THIS!! ASAP! GIVE EXPLANATION OF HOW YOU GOT THE ANSWER (show your work!!) ASAP MATHE QUESTION

Answers

For this, we need to make ratios(unit per unit, in this case, red paint per white paint).

Sydney's Mix - [tex]\frac{7 red}{4 white}[/tex]

Maria's Mix - [tex]\frac{5 red}{3 white}[/tex]

Both of these fractions are improper, so you can make mixed fractions and then find their common denominators:

Sydney's Mix - 1[tex]\frac{3}{4}[/tex] = 1[tex]\frac{9}{12}[/tex]

Maria's Mix - 1[tex]\frac{2}{3}[/tex] = 1[tex]\frac{8}{12}[/tex]

Therefore, they do not have the same shade of pink because 1[tex]\frac{9}{12}[/tex] [tex]\neq[/tex] 1[tex]\frac{8}{12}[/tex] :)

Preform the indicated operation 5/4 + 7/9

Answers

Answer:

5/4+5/9

45/36 +20/36

65/36

1 30/36

Consider the inequality 38 ≤ bx + 8
What value of b will result in the solution x ≤ - 6?

Answers

For the value of (b = -5) the result of the solution is x ≤ - 6.

What is termed as the inequality?

The term inequality refers to a mathematical equation wherein the sides are not equal. An inequality equates any two values and shows that one is less, greater, or equal to the value on either side of the equation.

Rule 1: When inequalities are connected, they can be crossed. As a result, if an is greater than b and b is greater than c, a will be greater than c as well.Rule 2: When you swap the values, the sign as well reverses.Rule 3: An inequality can be either > or, but not both at the same time.Rule 4: Reversing the sign by multiplying both sides of the inequality by the a negative sign.

Consider the given expression;

38 ≤ bx + 8

Simplify the equation;

38 - 8 ≤ bx

30 ≤ bx

Multiply both side with negative sign; by the rule four, the sign of inequality will also change.

- 30 ≥ -bx

or  -bx ≤ - 30

For converting the value to the expression x ≤ - 6; the value which should be divide the 30 is 5.

Thus,

-(-5)x  ≤ - 30

Thus, the value of b is found as (b = -5).

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Determine whether each set of numbers can be the measure of the sides of a triangle. If so, classify the triangle as acute, right, or obtuse. Justify your answer.

a. 11,60,61

Answers

The following set of numbers, 11, 60, and 61, can be the measures of the sides of a right triangle.

A triangle is a polygon with three sides and three vertices.

To know if a set of number is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

let a = 11, b = 60, and c = 61

a + b > c     11 + 60 > 61     71 > 61     True

a + c > b     11 + 61 > 60     72 > 60     True

b + c > a     60 + 61 > 11     121 > 11     True

To know what type of triangle based on the length of its side:

1. Take the sum of the squares of the two smaller sides.

11^2 + 60^2 = 3721

2. Compare it to the square of the largest side.

61^2 = 3721

3721 = 3721

If the sum of the squares of the 2 is larger than the square of the 3rd, it is an acute triangle.

if they are equal, it is a right triangle.

if they are smaller, then it is an obtuse triangle.

Hence, 11, 60, and 61 can be the measure of the sides of a right triangle.

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Simplify each sum or difference. State any restrictions on the variables.
y / 2y + 4 - 3 / y + 2

Answers

The simplification of each or difference of the given expression [tex]\frac{y}{(2y+4)}-\frac{3}{y+2}[/tex]  is equal to (y-6) /2(y+2). Restriction on the variables is given by y ≠ -2.

As given in the question,

Given expression [tex]\frac{y}{(2y+4)}-\frac{3}{y+2}[/tex]

Simplify the given expression by taking the least common multiple

[tex]\frac{y}{(2y+4)}-\frac{3}{y+2}\\\\\\= \frac{y}{2(y+2)}-\frac{3}{y+2}\\\\= \frac{y-6}{2(y+2)}[/tex]

Restriction on the variables is given by y ≠ -2.

Therefore, the simplification of each or difference of the given expression [tex]\frac{y}{(2y+4)}-\frac{3}{y+2}[/tex]  is equal to (y-6) /2(y+2). Restriction on the variables is given by y ≠ -2.

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What is the 25th term in the sequence 11, 20, 29, 38, 47…?

Answers

The 25th term in the sequence 11, 20, 29, 38, 47… is 227.

How to calculate the sequence?

Based on the information illustrated, it should be noted that the 25th term in the sequence 11, 20, 29, 38, 47… will be calculated thus:

In this case, this is an arithmetic sequence. The formula to calculate the sequence will be:

= a + (n - 1)d

a = first term = 11

d = common difference = 9

The 25th term will be:

a + (n - 1)d

= 11 + (25 - 1)9

= 11 + (24 × 9)

= 11 + 216

= 227

The 25th term is 227.

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Complete the square. x²-24 x+__ .

Answers

144 I that’s to your problem

Have a great day!

Evaluate this exponential expression.
5•(3+6)²-62

Answers

I evaluated this and got 343

Explaintion:

5 x 9 ( the 9 has a 2 on top) -62

5 x 81 -62

405 - 62

=

343

Answer:

343

Step-by-step explanation:

5×(3+6)²-62=

5×9²-62=

5×81-62=

405-62=

343

Need as soon as possible please

Answers

Answer:

Just graph, first one Y int: 2 and X is rise over run 1 and 2

Step-by-step explanation:

HELP ME PLEASE I have no idea on how to do this!!!

Answers

Using it's concept, the average rate of change of the function in the intervals is given by:

a. 1.

b. -5/3.

c. -1.

d. 4.

e. -3.

f. 0.

What is the average rate of change of a function?

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

For item a, we have that:

f(-3) = 0.f(-2) = 1.

Hence the rate is:

r = (1 - 0)/(-2 - (-3)) = 1.

For item b, we have that:

f(-2) = 1.f(1) = -4.

Hence the rate is:

r = (-4 - 1)/(1 - (-2)) = -5/3.

For item c, we have that:

f(0) = -3.f(1) = -4.

Hence the rate is:

r = (-4 - (-3))/(1 - 0) = -1.

For item d, we have that:

f(1) = -4.f(2) = 0

Hence the rate is:

r = (-0 - (-4))/(2 - 1) = 4.

For item e, we have that:

f(-1) = 0.f(0) = -3.

Hence the rate is:

r = (-3 - 0)/(0 - (-1)) = -3.

For item f, we have that:

f(-1) = 0.f(2) = 0.

Hence the rate is:

r = (0 - 0)/(2 - (-1)) = 0.

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CCSS ARGUMENTS Write a two-column proof.
Given: BD bisects ∠B .
BD ⊥ AC
Prove: ∠A ≅ ∠C

Answers

∠A ≅ ∠C under the CPCT condition (coresponding parts of congurent triangles).

What accurately does the term "triangle congruency" mean?Two triangles are considered to be congruent if their three corresponding sides are equal and their three corresponding angles are equal in size.These triangles can be moved, rotated, flipped, and turned to appear identical.If they are repositioned, they will coincide.Two triangles are congruent if they satisfy all five congruence conditions.They are the side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).

So,

Given: BD bisects ∠B and BD ⊥ AC.

To prove: ∠A ≅ ∠C

First, prove that △ABD≅△BDC.

∠DBA ≅ ∠DBC = Given: BD bisects ∠B∠BDA ≅ ∠BDC = (90°) Given: BD ⊥ AC

So, △ABD≅△BDC under AA condition.

Then, ∠A ≅ ∠C under CPCT condition.

Therefore, ∠A ≅ ∠C under the CPCT condition (coresponding parts of congurent triangles).

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A bag of jelly beans contains 7 red, 11 yellow, and 13 green. Victoro picks two jelly beans from the bag without looking. What is the probability as a percent rounded to the nearest tenth that Victoro picks a green one and then a red one?

Answers

The probability, expressed as a percentage rounded to a nearest tenth, that Victoro chooses a green jelly then a red one is 0.1.

What is defined as the combinations in a probability?

A combination is a preference of all or part of a group of objects, regardless of their order of selection.

You can choose the items in just about any order in combinations. Permutations and combinations are often confused.

Now, as per the given question;

The total number of red jelly beans in a bag is 7.

The total number of yellow jelly beans in a bag is 11.

The total number of green jelly beans in a bag is 13.

Thus, the total number of jelly beans in a bag is;

7 + 11 + 13 = 31.

First, Victoro picks the green one;

Thus, the probability of picking a green jelly out of total 13 green jellys is;

¹³C₁/ ³¹C₁ = 13/31

Now, as the second jelly picked by Victoro is red which is without replacement.

Thus, the probability for getting a red jelly out of total 30 left jellys is;

⁷C₁/ ³⁰C₁ = 7/30

Therefore, the total probability that Victoro picks a green one and then a red one is ;

= 13/31×7/30

= 91/930

= 0.097

= 0.10 (rounded to the nearest tenth)

Therefore, the probability of getting the red jelly after the green jelly is 0.10.

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Consider the set t = {1, 2, 3, 4, 5, 6}. let r = {(a, b) | a divides b} be a relation on the set t. the tabular representation for the ordered pairs of the given relation r on the set t is:_________

Answers

The ordered pairs of the given relation r on the set t is ungrouped data.

What is ungrouped data?

The data you initially collect from an experiment or study is known as ungrouped data. The data is unsorted, unclassified, or otherwise grouped; it is therefore considered to be raw. A list of numbers is an ungrouped piece of data.

Ungrouped data is a distribution type where each piece of information is presented in its rawest form. For instance, a batsman's five most recent scores are 45, 34, 2, 77, and 80.

Raw data is another name for ungrouped data.

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