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Nonamiya [84]
3 years ago
10

The graph shows the solution to a system of inequalities:

Mathematics
1 answer:
tangare [24]3 years ago
7 0

Answer:

Option A. 4x+3y\leq 12 and x\geq 0

Step-by-step explanation:

we know that

The solution of the first inequality is the shaded area below the solid line 4x+3y=12

The solid line passes through the points (0,4) and (3,0) (the y and x intercepts)

therefore

The first inequality is

4x+3y\leq 12

The solution of the second inequality is the shaded area to the right of the solid line x=0

therefore

The second inequality is

x\geq 0

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Mr. Hughes gave 5/14
kow [346]

Answer:

His savings were of $4,200.

Step-by-step explanation:

Mr. Hughes gave 5/14 of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife:

This means that the son and daughter amount is:

\frac{5}{14} + \frac{2}{3}(\frac{9}{14})

As \frac{9}{14} is the remained that his son did not get. So

\frac{5}{14} + \frac{2}{3}(\frac{9}{14}) = \frac{15}{42} + \frac{18}{42} = \frac{33}{42}

Fraction his wife got:

1 - \frac{33}{42} = \frac{42}{42} - \frac{33}{42} = \frac{9}{42}

If his wife got $900, what were his savings?

Total savings are x, wife got \frac{9}{42} of x. So

\frac{9x}{42} = 900

9x = 900*42

x = \frac{900*42}{9}

x = 100*42

x = 4200

His savings were of $4,200.

5 0
2 years ago
8.5x+51.86=-11.5x+51.76
solniwko [45]
Add, -11.5x and move it over to 8.5x

Then, subtract them together and you get 20x + 51.86 = 51.76

And you move (subtract) 51. 86 over to 51.76, subtract that and you get             20x = -0.1

Divide, and your answer is -200
7 0
3 years ago
Suppose that only 65% of all drivers in a certain state wear a seat belt. a random sample of 80 drivers is selected. what is the
jonny [76]

Answer:

Pr(X >42) = Pr( Z > -2.344)

                = Pr( Z< 2.344) = 0.9905

Step-by-step explanation:

The scenario presented can be modeled by a binomial model;

The probability of success is, p = 0.65

There are n = 80 independent trials

Let X denote the number of drivers that wear a seat belt, then we are to find the probability that X is greater than 42;

Pr(X > 42)

In this case we can use the normal approximation to the binomial model;

mu = n*p = 80(0.65) = 52

sigma^2 = n*p*(1-p) = 18.2

Pr(X >42) = Pr( Z > -2.344)

                = Pr( Z< 2.344) = 0.9905

7 0
3 years ago
Is 0.090909090 a repeating decimal
mel-nik [20]
Yes, since the number 09 keeps going it is a repeating decimal.
6 0
3 years ago
Read 2 more answers
Alvin has a prism-like water tank whose base area is 0.9 square meters and height is 0.6 meters. He wants to
lara [203]

Answer:Alvin can have 2 fish

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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