Equations practice problems - page 153 of 241
Number of problems found: 4813
- Consecutive 6090
The sum of four consecutive even numbers is equal to 108. Which of the numbers is equal to the smallest of these summands? - Girls
The children's competition was attended by 63 girls, which is 30% of all children's participants. How many children attended this competition? - Three points 2
The three points are A(3, 8), B(6, 2), and C(10, 2). Point D is such that the line DA is perpendicular to AB, and DC is parallel to AB. Calculate the coordinates of D. - Curve and line
The equation of a curve C is y=2x² -8x+9, and the equation of a line L is x+ y=3 (1) Find the x coordinates of the points of intersection of L and C. (2) Show that one of these points is also the stationary point of C? - Perimeter of a rectangle
If the perimeter of a rectangle is 114 meters and the length is twice the width plus 6 meters, what are the length and width? - Playing
How long have we trained on the pitch when we know that the warm-up took 10 minutes, we trained passes for one-third of the time, and we played football half the time? - Radioactive material
A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years? - Investment
1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years? - Multiply 6073
We first reduce the unknown number by 5, multiply by three, and finally reduce by 4 to get the number 7. What was the unknown number? - A number A number increased by 7.9 is 8.3
- Exponentially 6065
The intensity of daylight penetrating seawater decreases exponentially depending on its depth. At a depth of 6m, it is reduced by half. The underwater camera needs at least 75% of the daylight intensity for recording. To what depth can we use it under thi - Reduce 6058
If we reduce the number x by 30%, we get 140. What is x? - Increased 6053
Three new members have been added to the section. The number of members increased by 2%. How many members does the section now have? - Calculated 6048
The ambulance driver calculated that at an average speed of 60 km/h, he would arrive at the hospital in 50 minutes. After driving 25 km, he stopped at the pharmacy for 5 minutes. What average speed must he travel the rest of the way to make up for the del - Interest 6047 Mr. Demikát took out a loan worth 5,000 euros from the bank with an interest rate of 12 percent. How many months will it repay if the monthly payment is 80 euros?
- Interest 6043 Mr. Vysoky took out a mortgage on the house. He borrowed a total of 2 million for ten years. The interest rate was 2.3%. How much will Mr. Vysoky pay in total if the interest rate does not change?
- Circumference 6040
The picture shows a square net in which the side of one square is 1 cm long. Draw a rectangle with an area of 18 squares with a circumference of 22 cm. - Three-room 6033
There are three sizes of apartments in the new building on the housing estate. One-sixth of the total number of apartments are four-room apartments, and one-third of the rest are two-room apartments. There are 160 three-room apartments. How many four-room - Complementary angles 2
Two complementary angles are (x+4) and (2x - 7). Find the value of x. - Investigation 6024
Kamil saved up to buy a new phone case, which cost CZK 390. He only put ten and twenty crowns in the cash box. After two months of investigation, he had 25 coins in his treasury. When he calculated the total value of all the coins, he found out that he st
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