Subtraction + expression of a variable from the formula - practice problems
Number of problems found: 24
- Two expressions
When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y?
A massive storm broke the top of a fifteen-meter spruce so that it remained hanging along the rest of its trunk. The distance of this hanging top from the ground was 4.6 m. At what height was the spruce trunk broken?
Ralph has three bulldogs. One weighs 16 1/4 kilos, the other 12 3/5. If the total weight of the three dogs is 45 10/20. What is the weight of the third dog?
- When 5
When 5 is subtracted from both my numerator and denominator I become 3/4. What fraction i am?
- Original price p
If the original price of a table is p and the sales price of the table is p-0.3p, which other expressions represents the sale price of the table? Calculate also for p=100 USD
- The two
The two angles of a triangle are 78° and 82°. So what is the measure of the remaining third angle?
- Profit, revenue, cost
Profit, P(x), is the difference between revenue, R(x), and cost, C(x), so P(x) = R(x) - C(x). Which expression represents P(x), if R(x) = 3x3 + 2x - 1 and C(x) = x4 - x2 + 2x + 3?
- Metal washers
Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. Calculate the percentage of material waste if no material is lost when two adjacent circles meet.
- 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
- Cube-shaped container
The cube-shaped container has a height of 52 cm and a square base. The container was filled to the brim with water, then we immersed a metal cube in it, which caused 2.7 l of water to flow out of the container. After removing the cube from the water, the
- 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?
- Square and circles
The square in the picture has a side length of a = 20 cm. Circular arcs have centers at the vertices of the square. Calculate the areas of the colored unit. Express area using side a.
Calculate the size of the smaller of the angles determined by lines A1 A4 and A2 A10 in the regular dodecagon A1A2A3. .. A12. Express the result in degrees.
- A number 2
A number decreased by the difference between four and the number.
- Balloon and bridge
From the balloon, which is 92 m above the bridge, one end of the bridge is seen at a depth angle of 37° and the second end at depth angle 30° 30 '. Calculate the length of the bridge.
Which decimals when subtracted equal 3.89: a - b = 3.89
- Two chords
In a circle with a radius of 8.5 cm, two parallel chords are constructed, the lengths of which are 9 cm and 12 cm. Find the distance of the chords in a circle.
- The coil
How many ropes (the diameter 8 mm) fit on the coil (threads are wrapped close together) The coil has dimension: the inner diameter 400mm, the outside diameter 800mm and the length of the coil is 470mm
- Two annuluses
The area of the annular circle formed by two circles with a common center is 100 cm². The radius of the outer circle is equal to twice the radius of the inner circle. Determine the outside circle radius in centimeters.
Peter spent a quarter of his pocket saving. He has 9 euros now in his wallet. How many euros spent?
Subtraction practice problems. Expression of a variable from the formula - practice problems.