# Expression of a variable from the formula - 9th grade (14y) - math problems

#### Number of problems found: 646

- The width

The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the dimension of the garden? - Given 2

Given g(x)=x^{2}+x+1 where x=t^{2}. What is g(t²)? - The isosceles

The isosceles trapezoid ABCD has bases of 18 cm and 12 cm. The angle at apex A is 60°. What is the circumference and content of the trapezoid? - Trapezoids

In the isosceles trapezoid ABCD we know: AB||CD, |CD| = c = 8 cm, height h = 7 cm, |∠CAB| = 35°. Find the area of the trapezoid. - Diagonals of rhombus

Find a length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm. - One of

One of the internal angles of the rhombus is 120° and the shorter diagonal is 3.4 meters long. Find the perimeter of the rhombus. - The ratio 4

The ratio of two number is 5:4 if 40% of the first number is 12, what will be 50% of the second number? - Cost structure

You are currently trying to decide between two cost structures for your business: one that has a greater proportion of short-term fixed costs and another that is more heavily weighted to variable costs. Estimated revenue and cost data for each alternative - Two fifth

Two fifth of the worker in a factory are men. The rest are women. If there 28 men . how many more women than men are there? - Language test

Your language test scores are 58, 68, 89 and 95. What is the lowest you can earn on the next test and still achieve an average of at least 79? - Boys and girls 8

In a class of 35 boys and girls that has a ratio of 2:5, 5 boys are absent and 5 boys are present. How many students are present? - Consider 2

Consider the following formula: y = 3 ( x + 5 ) ( x - 2 ) Which of the following formulas is equivalent to this one? A. Y=3x^{2}+9x-30 B. Y=x^{2}+3x-10 C. Y=3x^{2}+3x-10 D. Y=3x^{2}+3x-30 - Profit, revenue, cost

Profit, P(x), is the difference between revenue, R(x), and cost, C(x), so P(x) = R(x) - C(x). Which expression represents P(x), if R(x) = 3x3 + 2x - 1 and C(x) = x4 - x2 + 2x + 3? - Michael 2

Michael has a 35 foot ladder leaning against the side of his house. If the bottom of the ladder is 21 feet away from his house, how many feet above the ground does the ladder touch the house? - The temperature 13

The temperature in Toronto at noon during a winter day measured 4°C. The temperature started dropping 2° every hour. Which inequality can be used to find the number of hours, x, after which the temperature will measure below -3°C? - The length 4

The length of a rectangular room measures twice a number x increased by 5. The width measures a number x increased by 3. What is the perimeter of the room? - The temperature 12

The temperature of a liquid was 25°C before it was warmed at a rate of 10°C per minute for 5 minutes. It was then cooled at 3.5°C per minute for 6 minutes. What was the temperature of the liquid after cooling? - Centre of the hypotenuse

For the interior angles of the triangle ABC, alpha beta and gamma are in a ratio of 1: 2: 3. The longest side of the AB triangle is 30 cm long. Calculate the perimeter of the triangle CBS if S is the center of the side AB. - Parallelogram diagonals

Find the area of a parallelogram if the diagonals u1 = 15 cm, u2 = 12 cm and the angle formed by them is 30 degrees. - Center of gravity and median

In the isosceles triangle ABC, the center of gravity T is 2 cm from the base AB. The median parallel to the AB side measures 4 cm. What is the area of the ABC triangle?

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Expression of a variable from the formula - math problems. Examples for 9th grade.