Mr Lim, Mr Tan and Mr Chan have $8650 altogether. Mr Lim has $450 more than Mr Tan. Mr Chan has twice as much money as Mr Tan. How much money does Mr Lim have?​

Answers

Answer 1

Answer:

Mr. Lim will have $2500

Step-by-step explanation:

Given:

The total amount of money which Mr. Lim, Mr. Tan and Mr. Chan is $8650;

Mr. Lim has $450 more than what Mr. Tan has;

Mr. Chan has double the amount of money than what Mr. Tan has.

Therefore, if we assume that the amount of money Mr. Tan has as x, then...

Total money = Mr. Tan + Mr. Lim + Mr. Chan

therefore,

8650 = x + (x + 450) + 2x

8650 = x + 2x + x + 450

8650 = 4x + 450

8650 - 450 = 4x

8200 = 4x

8200/4 = x

2050 = x

As we assumed earlier, x will be equal to the amount of money Mr. Tan has and the question is asking us how much money Mr. Lim has. To find this out, you have to add $450 to the amount of money Mr. Tan has which is $2050. This is because the question also gives us that Mr. Lim has $450 more that Mr. Tan.

I hope this helped you :)


Related Questions

PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer:

The correct answer is b.

Step-by-step explanation:

if you arrange the data set in ascending order you will have:

x              y

-2            [tex]\frac{1}{100}[/tex]

-1              [tex]\frac{1}{10}[/tex]

0               1

1                10

3               1000

Exponential growth is an increase in a specific way of a data set over time. here, as x increases by a +1, y increases with ×10

answer the question pls

Answers

Answer:

Question number 8 u place the number 1 line before -1 on the left.

Step-by-step explanation:

cuhcuhcuhcuchcuhcuhc

In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given.
a=5, b=7, y=31°

Answers

Answer:

9.013 square units

Step-by-step explanation:

6r-1+6r=11 explain how to get so

Answers

Answer:

r = 1

Step-by-step explanation:

6r - 1 + 6r = 11

Adding 6r and 6r (because they're like terms) gives us:

12r - 1 = 11

Adding 1 to both sides of the equation gives us:

12r - 1 + 1 = 11 + 1

12r = 12

Dividing both sides of the equation by 12 gives us:

12r/12 = 12/12

r = 1

Check whether 301 is a term of the list of numbers 5, 11, 17, 23, . . .

Answers

Answer:

not a term

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

d = 11- 5 = 17 - 11 = 23 - 17 = 6

This indicate the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 6, thus

[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1

Equate this to 301 and solve for n

6n - 1 = 301 ( add 1 to both sides )

6n = 302 ( divide both sides by 6 )

n = 50.333....

Since n is not an integer value then 301 is not a term in this sequence.

Which number is closest to O on the number line?
-0.26
0.3
0.275
-0.51

Answers

Answer:

-.26

Step-by-step explanation:

If you take the absolute value (indicates how far a number-negative/positive- is from 0) of each number u listed you will find that .26 is the smallest number,thus smallest number.

Answer:

-.26 is closest to 0 on the number line.

Step-by-step explanation:

To find distance we use absolute value to find the smallest absolute value.

The absolute value of each number is as follows

-0.26 (0.26)

0.3 (0.3)

0.275 (0.275)

-0.51 (0.51)

In order from least to greatest we have

.26, .275, .3, .51

Therefore -.26 is closest to 0 on the number line.

Good luck!!

If a state issued license plates using the scheme of two letters followed by four digits, how many plates could it issue?

Answers

Answer:

Combining these results, it follows that there are 676 x 1000 = 676,000 different license plates possible.

What is the result of the division?

4,060 ÷ 20 = ?

200 R3
203
230
233 R3

Answers

Answer:

it's answer is 203 ......

The specifications for the diameter of a molded part are 10 mm ± 0.5 mm. The actual average and standard deviation from 250 parts sampled is 10.1 mm and 0.1 mm, respectively. The process can be characterized as:

Answers

Answer: Capable

Step-by-step explanation: The capability of a process could be exaplained as a measure of the ability of a process to produce part within specified limits by making use of statistical measurement. In determining if a certain process is capable or not, the value of process capability (Cp) is measured, in most cases, a process is deemed capable by having a Cp value of 1.33 or higher.

Cp formula :

(Upper specification limit(USL) - Lower specification limit(LSL) ) / 6* standard deviations

Diameter = 10 mm ± 0.5 mm

Standard deviation = 0.1mm

USL = 10 + 0.5 = 10.5

LSL = 10 - 0.5 =. 9.5

Cp = (10.5 - 9.5) / 6*0.1

Cp = 1/0.6

Cp = 1.6666

Cp = 1.67

Hence, the process is capable

If 400 g of chocolate sells for $12,
"how much is the cost per kilogram?

Answers

the cost of the chocolate of 1 kg will be 30$

Given the equation −2x − 13 = 8x + 7, which order of operations completely solves for x? (1 point) Add 2x, then subtract 8x, lastly subtract 7 Add 2x, then add 13, lastly divide by 10 Subtract 8x, then add 13, lastly divide by −10 Subtract 8x, then add 2, lastly add 13

Answers

Step-by-step explanation:

We have given an equation −2x − 13 = 8x + 7

We need to find the operations that is used to find the value of x. It can be done by the following ways.

Subtract 8x on both the sides of the equation

−2x − 13 -8x= 8x + 7 -8x

-10x-13 = 7

Add 13 on both the sides of the equation,

-10x-13+13 = 7+13

-10x=21

Divide by -10 on both sides

[tex]x=\dfrac{-20}{10}\\\\x=-2[/tex]

Hence, the correct option is "Subtract 8x, then add 13, lastly divide by −10"

A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes. State H_0 and H_a in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols.Choose the correct answer below.A. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at least 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≥3.5."B. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≤3.5."C. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is equal to 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ=3.5."D. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is not 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≠3.5."

Answers

Answer:

The correct option is (C).

Step-by-step explanation:

The claim made by the golf analyst is:

Claim: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes.

A standard deviation test is to be performed.

The hypothesis for the test will be defined as follows:

H₀: The standard deviation of the 18-hole scores for a golfer is 3.5 strokes, i.e. σ = 3.5.

Hₐ: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes, i.e. σ ≤ 3.5.

Thus, the correct option is (C).

PLZ HELP !!!! Only do B) and C)

Answers

First frame is for b and second frame is for c

help asap will give 10 points

Answers

Answer:

False

Step-by-step explanation:

[tex]( {9}^{9} ) \times ( {9}^{ - 20} ) \\ = {9}^{9 + ( - 20)} \\ = {9}^{ - 11} [/tex]

Answer:

I'm pretty sure its false

This is a very hard math question. Whoever answers correctly will get a brainlist too! Find the value of b. Then find the angle measures of the pentagon.

Answers

Answer:

Below

Step-by-step explanation:

The sum of the 5 angles is 540°

● b+(b+45)+90+(2b-90)+(3/2)b = 540

3/2 is 1.5

● b+b+45+90+2b-90+1.5b = 540

● 2b +45+2b+1.5b = 540

● 5.5 b +45 = 540

● 5.5b = 495

● b = 495/5.5

● b = 90°

Answer:

b = 90

Step-by-step explanation:

b + (b + 45) + 90 + (2b - 90) + (3/2)b = 540

b + b + 45 + 90 + 2b - 90 + (3/2)b - 90 = 540 - 90

b + b + 45 + 2b - 90 + (3/2)b = 450

2b + 2b + (45 * 2) + (2 *2b) - (90 * 2) + (2 * (3/2)b) = 450 * 2

2b + 2b + 90 + 4b - 180 + 3b = 900

11b - 90 = 900

11b - 90 + 90 = 900 + 90

11b = 990

b = 990 / 11

b = 90

check:

b + (b + 45) + 90 + (2b - 90) + (3/2)b = 540

90 + (90 + 45) + 90 + (2*90 - 90) + (3/2)*90 = 540

90 + 135 + 90 + 90 + 135 = 540

540 = 540  --- OK

K(x)=5^x+2 find (-2)

Answers

Answer:

1

Step-by-step explanation:

K(x)=5^(x+2)

Let x = -2

K(-2)=5^(-2+2)

       = 5^0

      = 1

Answer:

k(- 2) = 1

Step-by-step explanation:

Substitute x = - 2 into k(x) , that is

k(- 2) = [tex]5^{-2+2}[/tex] = [tex]5^{0}[/tex] = 1 [ [tex]a^{0}[/tex] = 1 ]

What is the prime factorization of 270?

Answers

Answer:

[tex]\boxed{3^3 * 2 * 5}[/tex]

Step-by-step explanation:

Look at the image below ↓

Answer:

16 factors of 270

Step-by-step explanation:

1*270

2*135

3*90

5*54

6*45

9*30

10*27

15*18

CLASSIFY THE TRIANGLES WHOSE SIDES MEASURE:


A. a = 15cm, b = 20cm and c = 25cm

B. a = 3cm, b = 3cm and c = 1cm

Answers

Problem 1

a^2+b^2 = 25^2+20^2 = 225+400 = 625

c^2 = 25^2 = 625

We get the same output of 625.

This shows that a^2+b^2 = c^2 is true for (a,b,c) = (15,20,25). We have a pythagorean triple and this is a right triangle. This is also scalene as all three sides are different lengths.

Answer: Right scalene triangle

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

Problem 2

a^2+b^2 = 3^2+3^2 = 18

while c^2 = 1^2 = 1

So a^2+b^2 = c^2 is not a true equation for this a,b,c set of values. We do not have a right triangle. Instead we have an acute triangle based on these rules below

If a^2+b^2 = c^2, then we have a right triangleIf a^2+b^2 > c^2, then we have an acute triangleIf a^2+b^2 < c^2, then we have an obtuse triangle

We see that we have the form a^2+b^2 > c^2 since 18 > 1.

This acute triangle is also isosceles because a = b.

Answer: Isosceles acute triangle

Answer:

Triangle A is a scalene triangle.

Triangle B is an isosceles triangle

Exaplanation for the 1st Answer:

A scalene triangle is a triangle whose all side lengths are different.

Triangle A has the side lengths are 15, 20, 25. All these lengths are different, so this is a scalene triangle.

Explanation for the 2nd Answer:

An isosceles triangle has 2 sides lengths the same and the other side length different. Triangle B has side lengths of 3, 3, 1. Two side lengths are same, but 1 side length is different. So, this is an isosceles triangle.

Solve for t in terms of q, r, and s.
r = sqt
t=

Answers

Answer:

t=r/(sq)

Step-by-step explanation:

r=sqt

=> r/(sq)=t

Answer:

T= r/(sq)

Step-by-step explanation:

r= sqt

=r/(sq) =t

IM STUMPED I USUALLY LOVE THESE PROBLEMS :( The least common multiple of x, 10 and 14 is 70. What is the greatest possible value of x?

Answers

Answer:

[tex]x=70[/tex]

Step-by-step explanation:

If we know that the LCM of 10, 14 and x will be 70, that means x has to be a factor of 70.

First, let's find the multiples of 10 and 14 until they equal 70.

[tex]10: 10,20,30,40,50,60,70[/tex]

[tex]14:14,28,42,56,70[/tex]

Since we're asking for the greatest value of x, that means that x has to be smaller or equal to than 70 but still large enough to be the greatest.

Hey, isn't 70 a factor of 70? The remainder gets to 1 which is a whole number, so 70 is a multiple of 70.

So, [tex]x = 70[/tex].

Hope this helped!

Answer:

x = 35

Step-by-step explanation:

70 factored is 2 x 5 x 7

x  = 35

A board of directors consists of eight men and four women. A four-member search committee is randomly chosen to recommend a new company president. What is the probability that all four members of the search committee will be women?

Answers

Answer:

Total probability = 0.002 or 1 / 495

Step-by-step explanation:

Given:

Number of men = 8

Number of women = 4

Total number of person = 12

Find:

All four members will be women

Computation:

1st women probability = (4/12)

2nd women probability = (3/11)

3rd women probability = (2/10)

4th women probability = (1/9)

Total probability = (4/12)×(3/11)×(2/10)×(1/9)

Total probability = 24 / 11,880

Total probability = 0.002 or 1 / 495

The probability that all four members of the search committee will be women is 1.42%.

Since a board of directors consists of eight men and four women, and a four-member search committee is randomly chosen to recommend a new company president, to determine what is the probability that all four members of the search committee will be women the following calculation should be performed:

4/8 x 3/7 x 2/6 x 1/5 = X 0.5 x 0.42857 x 0.333 x 0.20 = X 0.01428 = X 100X = 1.42

Therefore, the probability that all four members of the search committee will be women is 1.42%.

Learn more in https://brainly.com/question/15943145

An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many faces does it have, how many vertices and how many edges? a triangular pyramid ... how many faces does it have, how many vertices and how many edges?

Answers

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Hope this can help you.

Answer:

octagonal: 8 faces, 16 edges, 9 verticestriangular pyramid: 3 faces, 6 edges, 4 verticestriangular prism: 3 faces, 9 edges, 6 vertices

Step-by-step explanation:

A pyramid has twice as many edges as faces, and 1 more vertex than faces.

Octa- means 8.

Tri- means 3.

a) An octagonal pyramid has 8 faces, 16 edges, and 9 vertices.

b) A triangular pyramid has 3 faces, 6 edges, and 4 vertices.

__

A triangular prism will have 3 additional edges for the second "base", and 2 additional vertices.

c) A triangular prism has 3 faces, 9 edges, and 6 vertices.

__

Additional comments

We have not counted the base as a "face." We have only counted those that meet at the point of the pyramid.

There are as many vertices on the base as there are faces, and there is one more vertex where all the faces meet.

There is one edge at the base for each face, and there is one edge from the base vertex to the point of the pyramid for each face--a total of two edges per face.

__

A triangular pyramid is shown in the attachment.

Warren is on vacation and needs to arrange transportation. A rental car costs 40 dollars per day plus a one-time cost of 14 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days. C(x)=________.
If Warren has budgeted 254 dollars for the rental, how many days can he afford?

Answers

Answer:

C(x)=40x+14, 6 days

Step-by-step explanation:

C(x)= payment per day*x + initial payment. the payment per day is $40 while the initial payment is $14. so C(x)=40x+14.

C(x)=254=40x+14, 40x=240, x=6

3 x 19 x 14 + 18 ÷ 2

Answers

Answer:

807

Step-by-step explanation:

[tex]3 \times 19 \times 14 + 18 \div 2 \\ PEDMAS \\ (3 \times 19 \times 14 )+ 9 \\ = 798 + 9 \\ [/tex]

[tex] = 807[/tex]

Answer:

408

Step-by-step explanation:

3x19= 57

57x14= 798

798 + 18= 816

816/ 2= 408

please what are plane shapes

Answers

Answer:

Circle

hope this helps.

Answer:

A closed, two-dimensional or flat figure is called a plane shape.

8. Solve for x. Round your answer to the nearest tenth.
8.6
4
x
0176

Answers

Answer:

C. 9.5

Step-by-step explanation:

The Pythagorean Theorem: a^2 + b^2 = c^2.

4^2 + 8.6^2 = c^2

16 + 73.96 = c^2

c^2 = 89.96

c = 9.4847....

Easy Geometry Question.

Answers

y = 180 - 120 = 60°
x = 180 - 2(60) = 60°
Therefore both x and y are 60° (D).

Answer:

the answer will be 60  

Step-by-step explanation to find x and y's value:

x = 180-2(60)

now, we will do the same method to find y's value

y = 180-120 which will be 60

i hope this helps :)

I need help with this please :(

Answers

Answer:

4¹⁸

Step-by-step explanation:

(4⁻³)⁻⁶

= 4⁽⁻³⁾⁽⁻⁶⁾

= 4¹⁸

Answer:

[tex]\large \boxed{4^{18}}[/tex]

Step-by-step explanation:

When a base with an exponent has an whole exponent outside the parenthesis, we multiply the exponents.

[tex](4^{-3})^{-6}[/tex]

[tex]4^{-3 \times -6}[/tex]

[tex]4^{18}[/tex]

true or false the ratio of the circumfernce of a circle to its diameter is called pi​

Answers

That's true. Pi is known to be defined as the ratio of the circumference of a circle to its diameter.

True pi is the circumference of the diameter

pls help. A granola mix sells for $8.99 a pound. Tung wants to buy a bag of granola mix that weighs 7.8 pounds. The bag of granola mix will cost about $16. $17. $63. $72.

Answers

Answer:

about 72 dollars

Step-by-step explanation

"about" tells us to round our numbers. Therefore, 7.8 becomes 8. As each pound is $8.99, we multiply the two and get 71.92, which is "about" 72.

Answer:

$72

Step-by-step explanation:

To find the cost, multiply the price per pound by the number of pounds.

8.99(7.8)

= 70.12

This is closest to $72

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