Equation + expression of a variable from the formula - practice problems - page 4 of 43
Number of problems found: 846
- General right triangle
In a right triangle, if a =x+34 and b = x and c= 50, then solve for x. Side c is a hypotenuse. Then discuss the case when a or b is a hypotenuse.
- Peter 17
Peter ate 9 ounces of chocolate cake which was 75% of the entire cake. Which expression can be used to find the size of the full cake?
- 56.9 divided
56.9 divided by 10 missing exponents = 0.569
- Solve 22
Solve the equation with two ratios: x:14=28:196
- The sum 39
The sum of the first six terms of the arithmetic sequence is 72, and the second term is seven times the fifth term. Find the first term and the AP difference.
- Leo bought
Leo bought 4 T-shirts and 2 pants of pants for Pho 3000. If the T-shirts cost 300 each, find the cost of each pair of pants
- Trapezoid 52
Trapezoid perimeter = 39a-7. Three sides have the following length: 9a, 5a+1, and 17a-6. What is the length of the fourth side?
- The linear
The linear equation 5y-3x-4=0 Can be written in the form y=mx+c. Find the values of m and c.
- Three rationals
Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
- A sandbox
3/4 a sandbox has an area of 20 square feet. The length is 6 1/2 feet. What is the width of the sandbox?
- Deon made
Deon made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was 18.40. If the beads cost a total of 9.60, how much did each pendant cost?
- The area 3
The area of a rectangle is given by the expression 4x² + 5x -6. What is the length of the rectangle if its width is x+2?
- Compound fractions
Solve the compound fraction, use the known formulas, and shorten the: (4a²-12a+9)/(4a-6)
- Plums 83656
From 2 kg of fresh plums, we get 400 g of dried plums. How many fresh plums do you need for 2 kg of dried?
- Circumference 83645
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12.
- Granulate 83503
Bathing water should have a pH value in the range of 6.8 - 7.2. How much granulate should we add to increase the pH value from 6.2 to 7 if a dose of 100g/10m³ increases the pH by approx. 0.1? P.S. It's not 800 grams.
- Candies 83291
Jana and Klara divided the candies in a ratio of 15:18. Klára got 90 candies. How many candies were there?
- Fractions: 83269
Equations with fractions: 3y - y+3/4 = 1+y/2
- Decoration
Jarka and Jana decided to decorate their common room. If Jarka painted it alone, it would take her 4 hours, and Jane 3 hours. How long would they paint the room if they painted together?
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