Answer:
2 pair shorts and for t-shirts and sandals possible cases are
1 t-shirt and 3 sandals or
4 t-shirts and 2 sandals or
7 t-shirts and 1 sandals.
Step-by-step explanation:
Total money spent by Heidi on the clothing items is $60.
Now , she bought 2 pairs of short for $10 each , so, the money spent on shorts will be $20.
Thus money for other stuffs should be $40.
Let she bought x t-shirts for $4 each , thus money spent on t-shirts will be 4x dollars.
Also let she bought y sandals for $12 each , so money spent on sandals will be 12y dollars .
Thus , 4x + 12y = 40. (since 40 dollars were remaining for other clothing
items)
So, x + 3y = 10.
So, the possible cases are 1 t-shirt and 3 sandals or
4 t-shirts and 2 sandals or
7 t-shirts and 1 sandals.
Answer: 2.8
Step-by-step explanation:
The mean of the data set it 10. Then find the difference between the mean and each data value. |10-5|=5 do this for all of them. You get 5,1,1,1,6. Now find the mean of the these new data value. 5+1+1+1+6=14 14/5=2.8
Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
he dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∠x + 90° = 180°
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
First step: partition the number you want to square root into a block of 2 digits, starting from the last digit (first diagram)
Second step: As our number is a five-digits, we ends up with 2 28 01. Pick a number that could be squared to get the first partition, 2. This number is 1, since 1×1=1
Third step: Write 1 on the top and on the side, as shown in the second graph
Fourth step: Double the number on the side, which is 1+1=2 and use this number as the first digit for the next multiplier. Meanwhile, subtract 1 from 2 inside the root sign to get 1, then pull the other two digits, 28
Fifth step: We need a value in the boxes that when we multiply together will give a number less than 128. We choose 5 as 25×5=125
Sixth step: Subtract 125 from 128 to give 3, and as the same concept with long division, bring down the 0 and the 1. So we have 301
Seventh step: Add 5 to the multiplier on the left, so 20+5=30, which we will use on the side as the hundred and ten digits.
Final step: Find a number to fit in the boxes. We choose 1 since 301×1=301
And hence the square root of 228801 is 151