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3 years ago

What is the solution to the following equation 4(-2x+3)=10x-15

1 answer:

3 0

$4(2x + 3) = 10x - 15 \\ \\ 1. \: - 8x + 12 = 10x - 15 \\ 2. \: 12 = 10x - 15 + 8x \\ 3. \: 12 = 18x - 15 \\ 4. \: 12 + 15 = 18x \\ 5. \: 27 = 18x \\ 6. \: \frac{27}{18} = x \\ 7. \: \frac{3}{2} = x \\ 8. \: x = \frac{3}{2}$

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Heidi must correctly answer at least 80% of the questions on an exam to advance to the next

Oduvanchick [21]

Given:
must correctly answer 80% of the questions
correctly answered questions = 26
incorrectly answered questions = 4
unanswered questions = 15

Total questions = 26 + 4 + 15 = 45

45 * 80% = 36 required correctly answered questions.

36 - 26 = 10

Out of 15 remaining questions, 10 questions must be correctly answered for Heidi to advance to the next level.

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3 years ago

Add. Write your answer in simplest form.

alexandr1967 [171]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Robert has available 400 yards of fencing and wishes to enclose a rectangular area. Express the areaAof the rectangle as a funct

solong [7]

Answer:

The answer is below

Step-by-step explanation:

a)Given that the length of fencing available is 400 yards. This means that the perimeter of the rectangle is 400 yards.

the perimeter of a rectangle is given as:

Perimeter = 2(length + width) = 2(l + w)

Hence;

400 = 2(l + w)

200 = l + w

l = 200 - w

The area of a rectangle is given as:

Area = length × width

Area = (200 - w) × w

Area = 200w - w²

b) For a quadratic equation y = ax² + bx + c. it has a maximum at x = -b/2a

Hence, for the area = 200w - w² a=-1, b = 200, the maximum width is at:

w = -b/2a = -200/2(-1) = -200/-2 = 100

A width of 100 yard has the largest area

c) l = 200 - w = 200 - 100 = 100 yards

Area = l × w = 100 × 100 = 10000 yd²

The maximum area is 10000 yd²

7 0

3 years ago

At central high school there are 398 sophomores who do not own a car and 29 who do there are 64 juniors who own a car and 339 wh

sertanlavr [38]

The proportion of sophomores that do not own a car is equal to 0.93.

<h3>What is ratio?</h3>

Ratio is a mathematical expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

The proportion of sophomores that do not own a car is given by:

Number of sophomores that do not own a car = 398.

Total number of sophomores = 427

Therefore, proportion = 398/427 = 0.93.

The proportion of all students who are seniors who own cars is given by:

Number of seniors who own cars = 123

Total number of students = 1192

Therefore, proportion = 123/1192 = 0.10.

The proportion of non-car owners who are juniors is given by:

Number of juniors who are non-car owners = 339

Total number of students that do not own a car = 976.

Therefore, proportion = 339/976 = 0.35.

Read more on ratio here: brainly.com/question/13513438

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<u>Complete Question:</u>

At Central High School, there are 398 sophomores who do not own a car and 29 who do. There are 64 juniors who own a car and 339 who do not. There are 123 seniors who own a car, compared to 239 who do not. The above is a two-way table depicting this situation. Complete the following statements below by finding the ratio, then converting to a decimal. Round to the nearest hundredth.

The proportion of sophomores that do not own a car is?

The proportion of all students who are seniors who own cars is?

The proportion of non-car owners who are juniors is?

3 0

2 years ago