MATHEMATICS MIDDLE SCHOOL

Devi has a grid in the shape of a parallelogram. She has equilateral triangles. Each equilateral triangle has an area of 40 square millimeters and each equilateral triangle fits on the grid.If the base of the grid is 26 centimeters and the height is 10 centimeters, how many triangles can Devi fit on the grid?

Answers

Answer 1
Answer: the answer is 65
there are 10 millimeters in every centimeter...so to get the size of the grid, you multiply 260 x 10 to get 260 centimeters and then to see how many millimeters are in the 260 centimeter grid you multiply it by 260 by 10, which gives you 2,600 millimeters, so then all that is left to do is divide 2,600 millimeters by 40 millimeters for each of her 40 millimeter equilateral triangles to see how many will fit...the answer is 65  

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What is the product of 2,830 and 3

Answers

The answer is 8490. 2830 times 3=8490
The product of 2,830 and 3 is (6,490)
Hope this helps!

58%of 312 is about how many

Answers

If you're asking what is 58% of 312 then its 180.96
312 times.58 = 180.96 so it about 181

Factor the expression. 4d + 12 Enter your answers in the boxes.

Answers

4d + 12 = 4(d + 3)
Basically, you just need to determine what 4d and 12 have in common.  In this case, they both divide evenly by 4. Therefore 4 (d + 3) = 4d + 12 according to the distributive property. 

(d + 3) = 4d + 12

Step-by-step explanation: none

Drag each tile to the correct box.Dominic is a server at a restaurant. Each dish at the restaurant costs $8. A sales tax of 8% is charged. The total bill amount includes the sales tax of the meal.

Dominic earns tips left by customers. The amount of money tipped can be represented by a percentage of the total bill.

Order the tip amounts from least to greatest tip, in dollars.

5 dishes
17.5% tip

6 dishes
14% tip

7 dishes
11% tip

4 dishes
20% tip

Answers

Final answer:

To find the tip amounts in dollars, calculate the total bill amount for each scenario by adding the cost of the dishes and the sales tax. Then, multiply the total bill amount by the given tip percentages to find the tip amounts. Order the tip amounts from least to greatest.

Explanation:

To determine the tip amount in dollars, you need to find the total bill amount first. The total bill amount includes the cost of the dishes and the sales tax. The sales tax is 8% of the cost of each dish. Let's calculate the total bill amount for each scenario:

  1. For 5 dishes, the total bill amount is $8 x 5 = $40. The sales tax is 8% of $40, which is $40 x 0.08 = $3.20. The tip amount is 17.5% of $40 + $3.20 = $7.20.
  2. For 6 dishes, the total bill amount is $8 x 6 = $48. The sales tax is 8% of $48, which is $48 x 0.08 = $3.84. The tip amount is 14% of $48 + $3.84 = $7.92.
  3. For 7 dishes, the total bill amount is $8 x 7 = $56. The sales tax is 8% of $56, which is $56 x 0.08 = $4.48. The tip amount is 11% of $56 + $4.48 = $8.16.
  4. For 4 dishes, the total bill amount is $8 x 4 = $32. The sales tax is 8% of $32, which is $32 x 0.08 = $2.56. The tip amount is 20% of $32 + $2.56 = $7.12.

Mila thinks 1/2 is equivalent to 2/3 and to 3/6

Answers

Hi

1/2 = (1×3)/(2×3) = 3/6

But 

1/2 ≠ 2/3
Mila is right and wrong because 1/2 isn't equal to 2/3 but, 1/2 is equal to 3/6.

If Logan's family can drive 23 1/8 miles on 1 gallon of gas how far can they drive on 17 gallons?

Answers

They can drive 393 and 1/8 miles on 17 gallons. Just multiply 17 times the number of miles they drove for one gallon (23 1/8).
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