System of equations + expression of a variable from the formula - practice problems - page 2 of 11
Number of problems found: 211
- Angles in a triangle
In a triangle, the first angle measures a number plus 45°, and the second angle is 30° less than the first angle. The third angle is two times the number more than the first angle. What are the measurements of each angle of the triangle? - Five friends
Five friends ate a 12-slice pizza. Samir ate three times as many slices as Joe. Joe ate half as many slices as Emily. Kendra and Fong together ate half a pizza. Kendra ate one-third as many slices as Samir. Fong ate the most slices. What fraction of a piz - Determine 73454
The volume of the cut cone is V = 38000π cm³. The radius of the lower base is 10 cm larger than the radius of the upper base. Determine the radius of the base if height v = 60 cm. - Length and width
Use the 5-step procedure. The perimeter of a rectangle is 34 in. The length is 4 in less than three times the width. Find the length and width. - Calculate 70804
The garden is a right triangle fenced with a 364 m fence length. The shorter slope of the triangle is 26 m long. Calculate the area of this garden. - Calculate 70634
The axial section of the cylinder is a rectangle with a diagonal of u = 20 cm. The height of the cylinder is twice the diameter of the base. Calculate the cylinder volume in liters. - Length 26
The length of the median of the trapezoid is 10 inches. The median divides the trapezoid into two areas whose ratio is 3:5. The length of the shorter base is: - Temperature linear fit
At 2:00 a.m., the temperature was -7°F. At noon the temperature was 18°F. What expression represents the increase in temperature? - Circumference 66134
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the circumference of the trapezoid. - In a GP 72+144
In a GP, the sum of the 2nd and fifth terms is 72, and the sum of the 3rd and 6th terms is 144. Find the common ratio, find the first term, and find the sum of the first six terms - Sidewalk 63134
A 2m wide sidewalk is built around the circular fountain. The radii of the circles that delimit the path on both sides are 4:3. What area in square meters does this sidewalk occupy? - Arithmetic 62644
The sum of the two numbers is 18, and their difference is 10. What are the numbers? Calculate the arithmetic mean of the product and the proportion of these numbers. - The sum 20
The sum of the first six terms of an arithmetic progression is 552, and the sum of the first two terms of the same is 200. Determine the sum of the first 15 terms. - GP sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 5, an = 320, sn = 635, n =? q =? - Members
A geometric sequence with six members has the sum of all six members equal to 63; the sum of the even members (that has an even index) has a value of 42. Find these members. - The ratio 7
The ratio of the sides of two squares is 4:5 if the sum of their areas is 180 cm². Find the sides of the two squares. - Fifteen-spruce 57291
A mighty gale broke the top of the fifteen-spruce spruce, resting it on the ground. The distance of this top from the trunk was 4.6 m below. At what height was the spruce trunk broken? - The satellite
The satellite orbiting the Earth at an altitude of 800 km has a speed of 7.46 km/s. How long would it have to move from the start to the orbit to reach this speed if it evenly accelerated its motion in a straight line? What is the acceleration of satellit - Hundredths 50681
The product of two unknown numbers is two hundredths. The first number is 1.25 times larger than the second number. Specify both numbers. - Louis
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 5,120 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement?
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