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Stels [109]
2 years ago
14

Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?

Mathematics
1 answer:
alexdok [17]2 years ago
3 0

Answer:

Summary:

The solution to 2.5 - 1.2x < 6.5 - 3.2x lies in the interval (-∞, 2).

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How many different committees of 3 men and 4 women can be formed from 6 men and 8 women?
Mademuasel [1]
2 committees. 6 is divisible by 3 twice, 8 is divisible by 4 twice.
3 0
3 years ago
What is the solution to this system of equations y=x-2 y=-0.5x+4
gladu [14]

Answer:

Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.

x-2=-0.5x+4x−2=−0.5x+4

2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.

x=4x=4

3 Substitute x=4x=4 into y=x-2y=x−2.

y=2y=2

4 Therefore,

\begin{aligned}&x=4\\&y=2\end{aligned}

​

​

​​  

​x=4

​y=2

​​  

Step-by-step explanation:

6 0
2 years ago
10. On one night, a group of 9 rats carried away 45 kg of food. What is the reduced ratio of rats to food weight
GenaCL600 [577]

Answer:

Number of rats : Food weight = 1 : 5

Step-by-step explanation:

Number of rats in the group = 9

Weight of food carried away by them = 45 kg

Ratio of the number of rats and food weight = \frac{\text{Number of rats}}{\text{Weight of food carried by the rats}}

                                                                          = \frac{9}{45}

                                                                          = \frac{1\times 9}{5\times 9}

                                                                          = \frac{1}{5}

Therefore, Number of rats : Food weight = 1 : 5

4 0
3 years ago
When you mix two colors of paint in equivalent ratios, the resulting color is
vredina [299]

Answer:

Step-by-step explanation:

From the given table,

To prepare a mixture of a paint, two paints of different shades have been added in the same ratio,

Since, 2 cups of blue paint are mixed with 10 cups of yellow paint

Therefore, ratio in which these shades have been added = \frac{\text{Pink}}{\text{Blue}}

                                                                                                = \frac{10}{2}

                                                                                                = \frac{5}{1}

                                                                                                = 5 : 1

For 1 cup of blue paint number of cups of yellow paint required,

\frac{x}{1}=\frac{5}{1}

x = 5 cups

For 3 cup of blue paint number of cups of yellow paint required,

\frac{x}{3}=\frac{5}{1}

x = 15 cups

Cups of blue paint                Cups of yellow paint

            2                                             10

            1                                               5

            3                                              15    

5 0
3 years ago
Which of the following sets of numbers is a Pythagorean triple?
lakkis [162]

Answer: a

Step-by-step explanation:

4 0
3 years ago
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