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ehidna [41]
3 years ago
5

I don’t really understand what to do on these questions and could you tell me the ratio to solve the rest?

Mathematics
1 answer:
SVEN [57.7K]3 years ago
8 0

Step-by-step explanation:

Assuming 10 cups of lemon-lime soda and 5 cups of orange soda make 15 cups of punch, we can write proportions for each problem.

x / 130 cups punch = 10 cups lemon-lime / 15 cups punch

x = 86.67 cups lemon-lime soda

y / 130 cups punch = 5 cups orange soda / 15 cups punch

y = 43.33 cups orange soda

x / 65 cups punch = 10 cups lemon-lime / 15 cups punch

x = 43.33 cups lemon-lime soda

y / 65 cups punch = 5 cups orange soda / 15 cups punch

y = 21.67 cups orange soda

x / 195 cups punch = 10 cups lemon-lime / 15 cups punch

x = 130 cups lemon-lime soda

y / 195 cups punch = 5 cups orange soda / 15 cups punch

y = 65 cups orange soda

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Find the value of x when : 2^30/8^9=2^x
artcher [175]

Answer:

x = -3

Step-by-step explanation:

Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:

2³⁰/(2³)⁹ = 2^x

When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:

(2³)⁹ = 2^3•9 = 2²⁷

Now we have:

2³⁰/2²⁷ = 2^x

When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:

2^(30-27) = 2^x

2^-3 = 2^x

Now you know that x = -3

3 0
3 years ago
On the graph below are three points X, Y, and Z. Write the coordinates for the given dilation.
Julli [10]

ANSWER

( -  \frac{3}{2} , - 1)

EXPLANATION

From the graph, the coordinates of Y are:

(3,2)

We want to find the image of this point after a dilation by a scale factor of -½ about the origin.

The rule for the dilation is :

(x,y)\to( - \frac{1}{2}  x, -  \frac{1}{2} y)

To find the coordinates of Y', we plug the coordinates of Y.

Y(3,2)\to \: Y'( - \frac{1}{2}  (3), -  \frac{1}{2}(2) )

Y(3,2)\to \: Y'( - \frac{3}{2}, - 1)

The first choice is correct.

6 0
4 years ago
How to write 75 1/3 % as a fraction in simplest form
Snowcat [4.5K]
75 1/3 = 75.33

75.33% = 75.33/100 
              = 7533/10000
 
 not sure if it can be simplified more than this        
3 0
3 years ago
Read 2 more answers
What is the product of the 6th square number and the 5th square number?
lukranit [14]

Answer:

900.

Step-by-step explanation:

The first 6 square numbers are 1, 4, 9, 16, 25, 36,

The required product is 25 * 36

= 900.

8 0
3 years ago
Simplfy the expression: (x - 9)^2
deff fn [24]
The answer would be x^2-18x+81. This can be found be writing "(x-9)^2" twice, and distributing. Combine like terms, and you should get this answer.
6 0
3 years ago
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