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ra1l [238]
3 years ago
7

There are 7 red marbles and 9 blue marbles in a bag. What is the ratio of all marbles in the bag to blue marbles? What is the ra

tio of red marbles to blue marbles?
Mathematics
1 answer:
nikklg [1K]3 years ago
6 0

Answer:

Answer to the 1st question is: 16/9 or 16:9 (whichever form you use)

Answer to the 2nd question is: 7/9 or 7:9

Step-by-step explanation:

<u>Key skills needed: Number theory, Ratios, and Fractions</u>

1) Let's look at the first question. A ratio is usually a number of something over a number of another thing. One such example is 5 apples : 4 oranges (or 5 apples/ 4 oranges - whichever form you write in).

  1. Based on that let's look at the first problem. We want to find the ratio of all the marbles in the bag to the blue marbles. So it would be --> the total # of marbles over the number of blue marbles.
  2. The total number of marbles is 7+9= 16. This would be our <u>first number, or the numerator. </u>
  3. The number of blue marbles is 9. This would be our <u>2nd number, or the denominator of the ratio.</u>
  4. With this information --> The ratio would be 16/9 or 16:9                                              

2) Now let's look at the 2nd question. The number of red marbles to the number of blue marbles is the ratio we need to find.  

  1. The number of red marbles is 7. This would be our first number or the numerator.
  2. The number of blue marbles is 9. This would be our second number or the denominator.
  3. Therefore, the ratio would be --> 7/9 or 7:9

<em>Hope you understood and have a nice day!! :D</em>

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The width of a rectangle is 5 meters less than its length. The area is 84 square
VARVARA [1.3K]

Answer:

12 and 7 meters

Step-by-step explanation:

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7 0
2 years ago
Please help!!
ZanzabumX [31]

The two linear equations in two variable is:

12 x + 3 y = 40

7 x - 4 y = 38

(a) For a system of equations in two Variable

a x + by = c

p x + q y = r

It will have unique solution , when

\frac{a}{p}\neq \frac{b}{q}\neq\frac{c}{r}

As, you can see  that in the two equation Provided above

\frac{12}{7}\neq \frac{3}{-4}\neq \frac{40}{38}

So, we can say the system of equation given here has unique solution.

(b). If point (2.5, -3.4) satisfies both the equations, then it will be solution of the system of equation, otherwise not.

1. 12 x+3 y=40

2. 7 x-4 y=38

Substituting , x= 2.5 , and y= -3.4 in equation (1) and (2),

L.H.S of Equation (1)= 1 2 × 2.5 + 3 × (-3.4)

                             = 30 -10.20

                               = 19.80≠ R.H.S that is 40.

Similarly, L H S of equation (2)= 7 × (2.5) - 4 × (-3.4)

                                                  = 17.5 +13.6

                                                  = 31.1≠R HS that is 38

So, you can Write with 100 % confidence that point (2.5, -3.4) is not a solution of  this system of the equation.


5 0
2 years ago
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