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3 years ago

Which inequality is shown in this graph?

Mathematics

1 answer:

Ivan3 years ago

7 0

Answer:

Step-by-step explanation:

when graphing inequalities if the shaded region is below the line then it is less than. Solid line makes it equal to. Line is going downwards so slope is negative. y intercept is in the negative region.

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A chemist needs 130 milliliters of a 47% solution but has only 35% and 87% solutions available. Find how many milliliters of eac

choli [55]

Answer: Amount of 35% solution required = 100 milliliters

Amount of 87% solution required = 30 milliliters

Step-by-step explanation:

Given: Total solution required = 130 milliliters

Let x = Amount of 35% solution (in milliliters).

Then, Amount of 87% solution required = 130 - x

As per given,

Concentration = 0.35x +0.87(130-x)=0.47(130)

$0.35x +113.1-0.87x=61.1\\\\\Rightarrow\ -0.87x+0.35x=61.1-113.1\\\\\Rightarrow\ -0.52 x= -52\\\\\Rightarrow\ x=\dfrac{52}{0.52}=100$

Hence, Amount of 35% solution required = 100 milliliters

Amount of 87% solution required = 130-100 milliliters =30 milliliters

3 0

2 years ago

In a certain lottery, you must select 5 numbers (in any order) out of 26 correctly to win. a. How many ways can 5 numbers be

Step2247 [10]

Answer:

a. 7893600

$b.\ \dfrac{1}{26}$

Step-by-step explanation:

Given that there are 26 numbers out of which 5 numbers are to be chosen.

Here repetition is not allowed.

For each of the 5 cases, the total number of possibilities will keep on decreasing by 1.

1st case, number of possibilities = 26

2nd case, number of possibilities = 25

3rd case, number of possibilities = 24

4th case, number of possibilities = 23

5th case, number of possibilities = 22

a. Total number of possibilities = 26 $\times$ 25 $\times$ 24 $\times$ 23 $\times$ 22 = <em>7893600</em>

b. Probability of winning by choosing one number:

Formula for probability of an event E can be observed as: $P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Number of favorable cases = 1

Total number of cases = 26

So, required probability:

$P(E) = \dfrac{1}{26}$

So, the answers are:

a. 7893600

$b.\ \dfrac{1}{26}$

5 0

3 years ago

Mr. Roberts bought a gas cooker $945. He sold it to a customer for 803.25 due to damage. Calculate:

AfilCa [17]

Answer:

A. $141.75

B. 15% loss (803.25/945)

Step-by-step explanation:

8 0

2 years ago

650ft squared divided by 2/3 hour

AleksAgata [21]

4.24 is the answer I believe,

4 0

3 years ago

Please help asap, I need help with all of them.

katrin2010 [14]

Answer:

1) Congruent

2) Congruent

3) Not Congruent

4) Congruent

5) Congruent

6) Congruent

Step-by-step explanation:

1) If you laid the triangles in the same direction, they both share the bottom angle and top angle, making it congruent. If you use this same thought process, you can figure out the rest.

6 0

3 years ago