MATHEMATICS HIGH SCHOOL

What is the fraction 18/24 reduced to its lowest terms? A. 9/12
B. 3/4
C. 24/18
D. 18/24

Answers

Answer 1
Answer: First, find the greatest common factor (GCF) of the numerator and denominator.

Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Common Factors: 1, 2, 3, 6
GCF: 6

Now, divide the numerator by 6 and the denominator by 6.

18 ÷ 6 = 3
24 ÷ 6 = 4

Set these as your new numerator and denominator.

(3)/(4)

The answer is (b).
Answer 2
Answer: \boxed{ (18^(/6))/(24^(/6)) ~\to~ (3)/(4) }

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If f(x)=10x+15, find f(x) when x=4

Answers

Answer:

55

Step-by-step explanation:

Replace the x with 4

f(4) = 10(4) + 15

Multiply

f(4) = 40 + 15

Then Add

f(4) = 55

Answer

55

Hope this helped :)

Given the functions f(x) = 3x2, g(x) = x2 − 4x + 5, and h(x) = –2x2 + 4x + 1, rank them from least to greatest based on their axis of symmetry.

Answers

f(x) = 3x^2 : axis of symmetry is x = 0.
g(x) = x^2 - 4x + 5 = (x - 2)^2 + 1 : axis of symmetry is x = 2
h(x) = -2x^2 + 4x + 1 = -2(x - 1)^2 + 3 : axis of symmetry is x = 1

Therefore, based on their axis of symmetry, f(x) < h(x) < g(x)

Assign two variables for each problem, and write the equations. Solve.In five years, Kate will be twice as old as Joey. Right now, Kate is 11 years older than Joey. How old is Joey right now?

I need two variables and two equations. And please solve it.

Answers

lets make k equal to Kate's age and j equal to Joey's age.  If in 5 years Kate will be twice as old as Joe, you can write the equation k+5=2(j+5) and then simplify it to make it easier to work with.
k+5=2(j+5)
k+5=2j+10
k+5-2j=10
k-2j=5
since we know that right know Kate is 11 years older than Joey, you can write the equation k+j=11.  Since you know have two equations with with the same variable, you can make a system of equations as fallows:
k-2j=5
k+j=11

Since you need to figure out how old Joey is, you need to somehow get k to cancel out.  The easiest thing to do for this problem is to is multiply the top equation by -1 to get:
-k+2j=-5   (you have to add the bottom equation to the top equation)
k+j=11     (-k+k=0, 2j+j=3j, and -5+11=6)
Since k got canceled out, you are left with the equation 3j=6 which means j=2.
Therefore, Joey's current age is 2.

I hope this helps.

Jaida has $200 to spend on flowers for a school celebration. She decides that the only flowers that she wants to buy are roses and carnations. Roses cost $1.45 each and carnations cost $0.65 each. Jaida buys enough roses so that each of the 75 people attending the event can take home at least one rose. Write an inequality to represent the cost constraint.

Answers

Answer:

1.45x+0.65y\leq 200

Here, x denotes the number of roses used for a school celebration and y denotes the number of carnations used for a school celebration.

Step-by-step explanation:

Let x denotes the number of roses used for a school celebration and y denotes the number of carnations used for a school celebration.

Cost of 1 rose = $1.45

Cost of x roses = \$1.45x

Cost of 1 carnation = $0.65

Cost of y roses = \$0.65y

Total cost spend on flowers = 1.45x+0.65y

Total amount with Jaida = $200

So,

the inequality to represent the cost constraint is 1.45x+0.65y\leq 200

How do I solve the ratio of somthin​

Answers

Add the ratio terms to get the whole. Use this as the denominator. 1 : 2 => 1 + 2 = 3.
Convert the ratio into fractions. Each ratio term becomes a numerator in a fraction. 1 : 2 => 1/3, 2/3.
Therefore, in the part-to-part ratio 1 : 2, 1 is 1/3 of the whole and 2 is 2/3 of the whole.

A spherical balloon has a circumference of 21 cm. What is the approximate surface area of the balloon to the nearest square inch?

Answers

Answer:140 cm^2

Step-by-step explanation:

The answer is D. 140 cm². I think the circumference of the balloon means the circumference of the biggest circle. So the 21=2πr². While the surface area of a sphere is S=4πr². So the S≈140 cm².
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