Fifty pounds of a cement-and-sand mixture is 40% sand.How many pounds of sand must be added for the resulting mixture to be 60% sand?

Answers

Answer 1
Answer: To get the answer you would have to multiply fifty by .4 to get 20. now you know that 20 is 2/5 of the bad and 1/5 must be 10. So you would multiply 10 by 3 to get to 3/5 so you can have 60%. The final answer is 30

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Square root of 1800 x 10 to the 7th power to the 4th power

Answers

1 to the 28 power? idk if that's right. I did exactly what you said in the calculator and that's what the result was.. sorry if im wrong:/

Malia solved an equation, as shown below:Step 1: 6x = 48
Step 2: x = 48 – 6
Step 3: x = 42

Part A: Is Malia's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.

Part B: How many solutions will this equation have?

Answers

Answer:

Part A- wrong step number 2 by Malia

Part B - Only 1 solution

Step-by-step explanation:

Given steps are :

Step 1: 6x = 48

Step 2: x = 48 – 6

Step 3: x = 42

Part A:

The second step is wrong. Malia subtracted 6 from 48, but she should not have done it. She should have divided both sides by 6, to get the value of 'x' which is 8.

The correct step should be :

6x=48

Divide both sides by 6, (6x)/(6) =(48)/(6)

x=8

Part B:

The equation has only 1 solution.

subtracting would be wrong it would be dividing. Just divide 6 on both sides to get x=8
for part A

FOR PART B 
there is one solution

Change each mixed numeral to a fraction. 1 1/2, 1 7/8, 4 2/3, 5 5/6

Answers

3/2, 15/8, 14/3, 35/6

Classify the triangle based on side lengths 5, 7 and 8.A. right
B. Acute
C. obtuse
D. no triangle can be formed with given side lengths

Answers

a\leq b\leq c-sides\ of\ a\ triangle\ then\ a+b > c\ and\n\nif\ a^2+b^2=c^2\ then\ triangle\ is\ right\n\nif\ a^2+b^2 > c^2\ then\ triangle\ is\ acute\n\nif\ a^2+b^2 < c^2\ then\ triangle\ is\ obtuse


a=5;\ b=7;\ c=8\n\na^2+b^2=5^2+7^2=25+49=74\n\nc^2=8^2=64\n\na^2+b^2 > c^2\n\nThe\ triangle\ is\ acute\ (answer:B.)

Calculate the total cost of an item bought at a negotiated price of $15,640 and a $2,500 trade-in allowance. The sales tax is 7.2 with a $106 registration fee.$13,160
$14,372.08
$1,232.08
$14,286.08

Answers

The total cost of the item is the second choice which is $14,372.08. I arrived to the answer by simply:
 
1) multiplying the sales tax to the negotiated price (15640*.072 = 1126.08) 
2) adding the sales tax to the negotiated price and the registration as well (15640+1126.08+106= 16872.08)
3) subtracting the trade in allowance from the computed value (16872.08 - 2500 = 14372.08)

What divides a design so that every point on one side of the line coincides with a point on the other side of it

Answers

Answer:

line of symmetry

Step-by-step explanation:

Final answer:

The term that represents a design divided so that every point on one side coincides with a point on the other side is known as symmetry. This involves an axis of symmetry dividing the design into two contrasting fields.

Explanation:

The concept in question is commonly known as symmetry, and it is often a key factor in design and visual arts. In a symmetrical design, every point on one side of the line, often referred to as the axis of symmetry, coincides with a corresponding point on the other side. This alignment creates a mirroring effect, dividing the entire design into two contrasting fields, like images divided on a poster. For instance, if you have a vertical line dividing a rectangle directly down the middle, and you have a circle on the left side of the line, a symmetrical design would have a corresponding circle on the right side.

Learn more about Symmetry here:

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