Master Wang plans to process a batch of machine parts in six days, with an average of 93 parts per day. If he processes another day, the average number of parts per day will be 93

Master Wang plans to process a batch of machine parts in six days, with an average of 93 parts per day. If he processes another day, the average number of parts per day will be 93


In the first six days, take out two pieces every day and put them on the seventh day. There are 91 pieces on the seventh day. Suppose that x pieces are processed on the seventh day. Then x + (93-91) * 6 = 91, x = 79, 79 pieces are processed on the seventh day



There are five numbers, the average of which is 92. The average of the first three numbers is 93, and the average of the last three numbers is 89. Do you know what the middle number is?


(93 × 3 + 89 × 3) - 92 × 5, = (279 + 267) - 460, = 546-460, = 86



One worker produces one kind of parts, which is planned to be completed within 30 days. If 6 more parts are produced every day, it will take 25 days to complete the task and 10 more parts will be produced
Suppose that the original plan is to produce X parts per day, then solve the equation


The original plan is to produce X parts per day
30*x+10=25*(x+6)
x=28



On every curve of the image with inverse scale function y = K / x, y decreases with the increase of X. (1) find the range of K
(2) Take a point a on the curve and make vertical segments to the x-axis and y-axis respectively. The vertical feet are B and C respectively. The origin of the coordinate is o. if the area of the quadrilateral ABCD is 6, calculate the value of K


(1)k>0
(2) Let a (x, y)
Then y = K / X is satisfied
S(ABCO)=OB×OC=|x|·|y|=6
∵y=k/x,k>0
∴k=x·y=6



Given A2 + B2 = 8, ab = 4, find a, B


A + 2Ab + B = 16, a + B = 4, ab = 4, a = b = 2 are mainly the application of complete square sum formula



As shown in the figure, if the angle B is 40 degrees and the angle DAE is 55 degrees, the degree of the angle ACB is calculated


As shown in the figure, ∠ EAC = 2 ∠ ead = 2 * 55 ° = 110 ° ∫ EAC is the outer angle of △ ABC ∫ ACB = ∠ EAC - ∠ B = 110 ° - 40 ° = 70 ° (an outer angle is equal to the sum of two inner angles that are not adjacent to it)



The square of X is 27. What's the value of X


x²=27
x=±√27
x=±3√3



The area of a trapezoid is 240 square centimeters, the upper bottom is 20 centimeters, and the lower bottom is 28 centimeters


Trapezoid area = (upper bottom + lower bottom) x Height x 0.5
So 240 = (20 + 28) xHow x0.5
The solution of the equation is 240 / (0.5x (20 + 28)) = 10cm



It is known that triangle ABC is an axisymmetric figure, and ∠ C = 90 ゜, then ∠ a = (゜) ゜,∠B=(______) ゜, the corresponding point of a & nbsp; is______ .


Because the triangle ABC is an axisymmetric figure, and ∠ C = 90 ゜, so the triangle ABC is an isosceles right triangle, so ∠ a = (45) ゜, ∠ B = (45) ゜, the corresponding point of point A & nbsp; is point B



Star, sun, earth, moon which is the biggest? Which is the smallest?


The sun is bigger than the earth, and the earth is bigger than the moon. But when people look at the stars at night, they feel that the stars are very small, smaller than the moon. This is because those stars are too far away from the earth, so they feel that the stars will be very small. Therefore, some of the stars are big, bigger than the sun; some are small, smaller than the moon. So it is not clear which is the biggest and which is the smallest