# Examples of equations for high school

#### Number of problems found: 690

• At what At what speed did the motorist drive when he reacted by noticing the obstacle by 0.8 s; the magnitude of the opposite acceleration during braking was 6.5 m/s ^ 2 and the car ran to a stop track 35 m?
• 24carat gold The goldsmith cast 22 carat gold and 14 carat gold and earned 20 dkg of 18 carat gold. How much gold did he use?
• Solve: Solve: 2r2+7r-r2-9
• 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)=x2+x+1 where x=t2. What is g(t²)?
• Insert Insert five numbers between 8 and 27 such numbers that, with two given ones, they form the first seven members of the geometric sequence.
• In the In the arithmetic sequence a1 = 4.8, d = 0.4. How many consecutive members, starting with the first, need to be added so that the sum is greater than 170?
• The perimeter The perimeter of the triangle is 24, the sides are integers and form an arithmetic sequence. Specify the side sizes of this triangle.
• Straight-line depreciation Olsen Inc. Purchased a \$580,000 machine to manufacture a specialty tap for electrical equipment. The tap is in high demand and Olsen can sell all that it could manufacture for the next 10 years. To encourage capital investments, the government exempts tax
• Two numbers One number is by 79 larger than the other. If we divide the larger number by the smaller one, we get the ratio 5 and the remainder 11. Determine both numbers.
• Conjugate equation Find the numbers of a and b, if (a - bi) (3 + 5i) is the Conjugate of (-6 - 24i)
• Eq2 equations For each of the following problems, determine the roots of the equation. Given the roots, sketch the graph and explain how your sketch matches the roots given and the form of the equation: g(x)=36x2-12x+5 h(x)=x2-4x+20 f(x)=4x2-24x+45 p(x)=9x2-36x+40
• One leg One leg of a right triangle is 1 foot longer than the other leg. The hypotenuse is 5 feet. Find the lengths of the three sides of the triangle.
• A missile A missile is fired with a speed of 100 fps in a direction 30° above the horizontal. Determine the maximum height to which it rises? Fps foot per second.
• A circle A circle relation is given to be x2 + y2 =16. What is the radius of the circle?
• Polynomial roots Find the other zeroes of the polynomial 2x4+3x3-3x2-6x-2, if two of them are root2 & -root2
• 6 plates 6 plates and 5 cups cost 37.50 dollars. 7 plates and 6 cups 44.10 dollars. Each plate costs the same amount as the other cup. What is the cost of 1 plate? What is the cost of 1 cup?
• Deposit Oh I total of \$15,000 deposited into simple interest accounts the annual simple interest rate on one account at 6% the annual simple interest rate on the second account at 7% how much should be invested in each account so that the total interest earned is
• Wheel gear A drive wheel of radius 2 is connected to a drive wheel of radius 1 by a pulley of length 17. What is the distance between the wheel axles?
• Poisson distribution - daisies The meadow behind FLD was divided into 100 equally large parts. Subsequently, it was found that there were no daisies in ten of these parts. Estimate the total number of daisies in the meadow. Assume that daisies are randomly distributed in the meadow.

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