Expression of a variable from the formula - practice problems - page 6 of 139
Number of problems found: 2769
- Perimeter - general
Solve: the perimeter of a triangle is 4x+1.if two of it side are(x+2) and (x-1). Find the third side.
- The proportion
The proportion's first, second, and third terms are 4, 20, and 13. Find the fourth term.
- The mean 2
The mean cost of 4 items was $39.96. The first item cost $28.50, the second item cost $41.25, and the third item cost $50. Find the cost of the fourth item.
- Correct mean and CV
For a group of 100 students, the mean and coefficient of variation of their marks were found to be 60 and 25, respectively. Later, it was found that the scores 45 and 70 were wrongly entered as 40 and 27. Find the corrected mean and coefficient of variati
- The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate?
- The enrolment 2
The enrolment at a school has increased from 1400 learners to 1600 learners over 5 years. What is the percentage increase in enrolment?
- Petra 6
Petra sold an item for 4000 and made a 40% profit. What was the cost price of the product?
- A rectangle 13
A rectangle has an area of 15 square inches. What is the unknown side length if one side length is 1 2/3 inches wide?
- Tomato plant
Bruce's grandmother loves to use fresh tomatoes in her homemade pasta sauce. Bruce thought she might like to grow her own, so he bought her a planter box and a tomato plant. The planter box is shaped like a rectangular prism. It is 12 1/2 inches long, 10
- Two numbers 17
The sum of two numbers is 9, and the sum of their cubes is 189; find the sum of their squares.
- Collinear lines
Points A, B, and C are collinear, and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC?
- The triangle 6
The triangle has an area of 7 ⅞ cm² and a base of 5 ¼ cm. What is the length of h? Explain your reasoning.
- Horseback riding
The total cost to go horseback riding is x dollars per hour plus a $2 fee for renting a helmet. Which expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each? Select all that apply. Responses: A = 4(3x+2) B = 3(4x+
- Julia 4
Julia correctly solved a math problem by first dividing 44.5 by 5 and then subtracting 23 from the result. Which equation could be solved to get the same answer? Responses: A 5x+23=44.5 B 5(x-23)=44.5 C 5(x+23)=44.5 D 5x-23=44.5
- Unknown var N
Five-eights of a number, N, is 50. What is the value of N?
- The bedroom
The area of the rectangular bedroom is 136 5/8 square feet. If its width is 12 3/4 feet, find its length in simplest form.
- Working together
Zeru can complete a certain job in 5 days, and Tulu can complete the same job in 3 days. How long will they complete the job if they work together?
- Field trip 2
A principal is organizing a field trip for more than 400 students. She has already arranged the transportation for 280 students. Each school bus has the capacity to transport 40 students. Find the number of school buses still needed to transport all of th
- Nisha
Nisha likes to make small rectangular paintings of cats. One of her paintings has an area of 33cm squared and a width of 7 1/2 centimeters. What is the height of this painting?
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