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3 years ago

Solve the two-step equation and identify the steps. 2 = -7/4+1/4x

Mathematics

2 answers:

GaryK [48]3 years ago

7 0

Answer:

Step-by-step explanation:

IgorC [24]3 years ago

7 0

1. Add 7/4 to both sides.

2. Multiply both sides by 4.

The solution is x =15

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George has $49 which he decides to spend on x and y. commodity x costs $5 per unit and commodity y costs $11 per unit. he has th

FromTheMoon [43]

We are given the equations:

5 x + 11 y = 49 --> eqtn 1

u = 3 x^2 + 6 y^2 --> eqtn 2

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

y = (49 – 5x) / 11 --> eqtn 3

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121

u = 4.24 x^2 – 24.3 x + 119.06

Derive then set du/dx = 0 to get the maxima:

du/dx = 8.48 x – 24.3 = 0

solving for x:

8.48 x = 24.3

x = 2.87

so y is:

y = (49 – 5x) / 11 = (49 – 5*2.87) / 11

y = 3.15

Answer:

George will choose some of each commodity but more y than x.

7 0

3 years ago

A sociologist wants to know the opinions of employed adult women about government funding for day care. The women were asked to

Zarrin [17]

Answer:

The correct option is C 20.1%.

Step-by-step explanation:

The probability distribution chart representing the opinions of employed adult women about government funding for day care is as follows:

Rating (X) Probability (p)

1 0.110

2 0.206

3 0.464

4 0.201

5 0.119

The ratings are defined as follows:

1: too little

2: helpful but not enough

3: make a difference but insufficient

4: sufficient

5: generous

The probability of women who think that the support is sufficient is, 0.201.

The percentage is: 0.201 × 100 = 20.1%

Thus, the percentage of women who think that the support is sufficient is 20.1%.

The correct option is C.

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3 years ago

A can of soup contains 1 1/4 cups. A serving is 1/2 of a cup. How many servings are in the

Bogdan [553]

Answer:

c 2 1/2

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What percent of 56 is 35 shirts

9966 [12]

62.5% of 56 is 35

Divide 35 and 56:
$35 \div 56 = 0.625$

Convert the decimal to a percentage:
$0.625 \times 100 = 62.5$

8 0

3 years ago

70 times 10 by the power of 2

Svetradugi [14.3K]

Answer:

I'm not sure which you mean, so I'll give the answer to both:

$70 X 10^2 = 7000\\(70x10)^2 = 490000$

8 0

3 years ago

Read 2 more answers