MATHEMATICS HIGH SCHOOL

David, Malachy and Paul share some sweets in the ratio 4:3:3. David gets 24 sweets. How many did Paul get?

Answers

Answer 1
Answer:

If David, Malachy and Paul share some sweets in the ratio 4:3:3 then Paul get 7.2 number of sweets

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that David, Malachy and Paul share some sweets in the ratio 4:3:3

All three shared 24 sweets together.

Let x be the number of sweets

4x+3x+3x=24

Add the like terms

10x=24

Divide both sides by 10

x=2.4

Now paul has 3x sweets so 3×2.4=7.2

Hence, Paul get 7.2 number of sweets

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Answer 2
Answer: • Let.David,Malachy,Paul sweets be =4x,3x,3x

4x+3x+3x=24
10x=24
x=24/10
x=2.4
Since Paul=3X=3*2.4

=7.2

• hence the Paul get 7.2

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If it is 8:50 a.m., what will the time be 4 hours and 20 minutes later?1:20 a.m.
12:30 a.m.
1:10 p.m.
12:30 p.m.

Answers

Answer:

1:10 pm

Step-by-step explanation
it will be 1:10p.m.
8:50+4:20=12:70. (↪70=1h+10min)=1:10

A student skipped a step when she tried to convert 18 hours into seconds, and she got the following incorrect result:18 hours (60 seconds/ 1 minute) = 1080 seconds

What conversion ratio did she skip in this multiple-step conversion?

A. 60 seconds/ 1 minute

B. 1 minute/ 60 seconds

C. 1 hour/ 60 minutes

D. 60 minutes/ 1 hour

Answers

Answer:

The conversion ratio that student skipped was:

D. (60 minutes/1 hour)

Step-by-step explanation:

We have to convert 18 hours into seconds

We know that there are 60 seconds in a minute and 60 minutes in an hour.

So, 1 hour= 60×60 seconds

 18 hour= 18×60×60 seconds

In the question student converted 1 minute into 60 seconds but forgot to convert 1 hour into 60 minutes

Hence, the conversion ratio that student skipped was:

D. (60 minutes/1 hour)

Answer: 60 minutes/1 hour

Step-by-step explanation: took the quiz

Rewrite f(x) = –2(x − 3)2 + 2 from vertex form to standard form. pleae help.

Answers

f(x) = -2(x - 3)² + 2
f(x) = -2(x - 3)(x - 3) + 2
f(x) = -2[x(x - 3) - 3(x - 3)] + 2
f(x) = -2[x(x) - x(3) - 3(x) - 3(-3)] + 2
f(x) = -2(x² - 3x - 3x + 9) + 2
f(x) = -2(x² - 6x + 9) + 2
f(x) = -2(x²) - 2(-6x) - 2(9) + 2
f(x) = -2x² + 12x - 18 + 2
f(x) = -2x² + 12x - 16
f(x)=-2(x-3)2+2=f(x)=-2(x-3)

The difference between three times a number and 28

Answers

The mathematical expression for the given situation is 3x-28.

The given statement is "The difference between three times a number and 28".

What is an expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

Steps to convert word problem into expression:

  • Understand each word used to describe the issue.
  • Understand what you need to look for.
  • Convert the issue into an expression.
  • Give the unknown a variable (or variables) to represent it.
  • Indicate exactly what the variable stands for.

Let the unknown number be x.

According to the question, the expression is 3x-28

Therefore, the mathematical expression for the given situation is 3x-28.

To learn more about an expression visit:

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Answer:

3x-28

Step-by-step explanation:

"The difference" means subtract.

"Three times" means multiply by three.

"A number" means use any variable (I prefer x).

How to find the equation of a hyperbola when given the vertices and foci

Answers

Step-by-step explanation:

The vertices and foci are on the x-axis. Thus, the equation for the hyperbola will have the form x2a2−y2b2=1 x 2 a 2 − y 2 b 2 = 1 . The vertices are (±6,0) ( ± 6 , 0 ) , so a=6 a = 6 and a2=36 a 2 = 36 . The foci are (±2√10,0) ( ± 2 10 , 0 ) , so c=2√10 c = 2 10 and c2=40 c 2 = 40 .

2. Find the slope
between the points
(-4,-6) and (-2,12) .

Answers

Answer:

(6,6)

Step-by-step explanation:

negative plus negative equal to positive n vice verser
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