MATHEMATICS HIGH SCHOOL

There are 6 cakes in a box. The box and cakes weigh 250 grams altogether. The box weighs 22 grams. Each cake weights the same. What does each cake weigh
There are 6 cakes in a box. The box and - 1

Answers

Answer 1
Answer: 250-22 gives you 228 228/6 gives you how much each cake is, each cake is 38 grams

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Michelle wants to make a long-term investment. She wants to triple an initial investment of$2,000. If she invests at a simple interest rate of 12% per year, approximately how long will it
take her principal to triple?

Answers

Answer:

It will take approximately 17 years

Step-by-step explanation:

Let the initial investment be x

The investment plus the principal yields 3x

The interest is thus 3x-x = 2x

Formula for simple interest is;

I = PRT/100

R is rate = 12%

T is time = ?

x =$2,000 which is the principal

2x = x * 12 * T/100

2 = 12t/100

12t = 200

t = 200/12

t = 16.67 which is approximately 17 years

If each number is rounded to the nearest hundred, which statement is true? A = 196.3 + 238.89 + 384.92 B = 329.11 + 288.06 + 106.4

Answers

A = 196.3 + 238.89 + 384.92 rounded to the nearest hundred
A = 200 + 200 + 400 = 800

B = 329.11 + 288.06 + 106.40 rounded to the nearest hundred
B = 300 + 300 + 100 = 700

800 is greater than 700. Thus, A > B. 

Answer:

800 is greater than 700. Thus, A > B.

Step-by-step explanation:

Charlie solved an equation, as shown below:Step 1: 5x = 30

Step 2: x = 30 - 5

Step 3: x = 25

Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.

Answers

Charlie is incorrect because he should have divided the 5. So it would x=30/5 =6. to check your work go 6x5 which equals 30.

I have to rewrite an equation so that y is a function of x. I think I'm solving for Y, because on my examples it has "y=". How do I do this?

Answers


You do whatever you need to do to one side of the equation in order to have
only ' y ' left on that side, AND every time you do something to that side of
the equation, do exactly the same thing to the other side.

Here are three examples, out of the 9 answers you want handed to you:

#16:                                  3x + 5y = 7

Subtract  3x  from each side:      5y = -3x + 7

Divide each side by  5 :                y = -3/5 x + 7/5

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

#17:                                     13 = 12x - 2y

Add  2y  to each side:    2y + 13 = 12x

Subtract 13  from each side:  2y = 12x - 13

Divide each side by  2 :          y = 6x - 13/2

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

#22:                                1/4 y + 3 = -5x

Subtract  3  from each side:   1/4 y = -5x + 3

Multiply each side by  4 :            y = -20x + 12

Two vertices of a right triangle are (0,1) and (0,6). The area of the triangle is 10 square units. Which point could be the third vertex of the triangle?

Answers

The correct answer for the question that is being presented above is this one: "(4,1)."

The distance from (0,1) to (0,6) is 5 units.
The area of a triangle is 
Area = bh/2
10 = 5b/2
20 = 5b
b = 4

The distance of the base is 4 units. So, from (0,1) count 4 units to the right but on the same y coordinate. 

So the point is in (4, 1).

10 over 7 x 3 over 8

Answers

When you multiple fractions, you just multiple numerators and denominators.

10 / 7 × 3 / 8 = (10 × 3) / (7×8) = 30 / 56

Now reduce the fraction:

30 / 56 = 15/28

Final answer: 15/28
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