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Inga [223]
2 years ago
8

A bag contains purple marbles and yellow marbles, 52 in total. The number of purple marbles is 4 more than 3 times the number of

yellow marbles. How many purple marbles are there?
Mathematics
1 answer:
Masja [62]2 years ago
5 0

Answer:

16

Step-by-step explanation:

This question can be modeled using the equation 3x+4=52 (x is the purple marbles). To solve this equation subtract 4 from both sides, making it 3x=48. divide both by three showing x=16. This shows that 16 is the answer.

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What is 3.41 ((with 41 repeating at the end)) as a simplified fraction?
Andre45 [30]

<u>3 41/99. </u>

3.4141414...

100x= 341.4141414...

341.414141414...

- 3.41414141414..= 338

99x= 338/99 or 3 44/99

5 0
3 years ago
NEED HELP NOW!! FOR MATH 10PTS
meriva

Answer:

a)

Step-by-step explanation:

Cost function = revenue function - profit function

   = -0.3x² + 150x - [-0.5x² + 250x - 300]

   = -0.3x² + 150x + 0.5x² - 250x +300

  = -0.3x² + 0.5x² + 150x - 250x + 300   {Combine like terms}

  = 0.2x² - 100x + 300

4 0
2 years ago
Find the area also if you can do a step by step explanation thanks
Harman [31]

Answer:

50 cm squared.

Step-by-step explanation:

All you need to do is multiply the 5 (which is the height) times 10 (which is the base).

The volume of a parallelogram is base times height.

so, 5 times 10 = 50

8 0
2 years ago
Read 2 more answers
The table shows the total number of pictures Cal took by the end of each week.
CaHeK987 [17]

Answer:

45 pictures

Step-by-step explanation:

I did this one too but i don't if they changed the answer good luck I would double check

6 0
3 years ago
Read 2 more answers
Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?
Anastasy [175]

Answer:

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

Step-by-step explanation:

An equation in the vertex form is written as

y = a (x-h) + k

Where the point (h, k) is the vertex of the equation.

 

For an equation in the form ax ^ 2 + bx + c the x coordinate of the vertex is defined as

x = -\frac{b}{2a}

In this case we have the equation y = 9x^2 + 9x - 1.

Where

a = 9\\\\b = 9\\\\c = -1

Then the x coordinate of the vertex is:

x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}

The y coordinate of the vertex is replacing the value of x = -\frac{1}{2} in the function

y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}

Then the vertex is:

(-\frac{1}{2}, -\frac{13}{4})

Therefore The encuacion excrita in the form of vertice is:

y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

To find the coefficient a we substitute a point that belongs to the function y = 9x^2 + 9x - 1

The point (0, -1) belongs to the function. Thus.

-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}

-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9

<em>Then the written function in the form of vertice is</em>

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

7 0
3 years ago
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