Expression of a variable from the formula + addition - math problems
Number of problems found: 20
- When 5
When 5 is subtracted from both my numerator and denominator I become 3/4. What fraction i am?
- The two
The two angles of a triangle are 78° and 82°. So what is the measure of the remaining third angle?
- The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers.
- Linear combination of complex
If z1=5+3i and z2=4-2i, write the following in the form a+bi a) 4z1+6z2 b) z1*z2
- Common difference
The 4th term of an arithmetic progression is 6. If the sum of the 8th and 9th terms is -72, find the common difference.
- Angles of a hexagon
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence, and the smallest angle is 70°.
- Trapezoid 25
Trapezoid PART with AR||PT has (angle P=x) and (angle A=2x) . In addition, PA = AR = RT = s. Find the length of the median of Trapezoid PART in terms of s.
- A ladder
The bottom rung of a ladder is 36 inches long and the topmost rung is 24 inches long. If the ladder has 18 rungs, how many inches each other rung is shorter than the rung below it. How many feet of wood was used in making the rungs?
- Extending square garden
Mrs. Petrová's garden had the shape of a square with a side length of 15 m. After its enlargement by 64 m2 (square), it had the shape of a square again. How many meters has the length of each side of the garden been extended?
- 1 page
One page is torn from the book. The sum of the page numbers of all the remaining pages is 15,000. What numbers did the pages have on the page that was torn from the book?
- Sum of the seventeen numbers
The sum of the 17 different natural numbers is 154. Determine the sum of the two largest ones.
Five employees of the company were paid bonuses so that each successor received 550 USD less than the previous employee. How much did everyone get if a total of USD 11,000 has paid?
Which decimals when subtracted equal 3.89: a - b = 3.89
- Infinite sum of areas
Above the height of the equilateral triangle ABC is constructed an equilateral triangle A1, B1, C1, of the height of the equilateral triangle built A2, B2, C2, and so on. The procedure is repeated continuously. What is the total sum of the areas of all tr
The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. Edge length ratio is 7: 5: 3. Calculate the length of the edges.
Dano had 20 raspberries. John had 90% more raspberries than Dano. Determine how many raspberries have Dano and Juraj together.
- Chocholate pyramid
How many chocolates are in the third shelf when at the 8th shelf are 41 chocolates in any other shelf is 7 chocolates more the previous shelf.
- Difference AP
Calculate the difference of arithmetic progression if the sum of its first 19 members Sn = 8075 and the first member is a1 = 20
The theater has in each row with 19 seats. Ticket to the first 10 rows is for 30 USD. In the next rows is for 15 USD. The theater was completely sold out. Revenue was 12255 USD. How many rows are in the theater?
The triangle is one outer angle 158°54' and one internal angle 148°. Calculate the other internal angles of a triangle.
Expression of a variable from the formula - math problems. Addition Problems.