A ten-foot-long board is cut into three pieces. The second piece is half as long as the first. The third piece is 4 feet longer than the second. How long is the first piece?

Answers

Answer 1
Answer: Let's say the second piece is x ft long
The first piece is 2x ft long
The third piece is x+4 ft long
All of the pieces should add up to 10ft
x+2x+x+4=10
4x= 6
x=1.5ft
The first piece is 2x ft long=3 ft long

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Twice a number is equal to seven more than four times the number

Eddie is single and receives his pay biweekly. His annual salary as a tailor for Whyte and Broom is $21350

Answers

Answer:

Eddie is a single tailor working for Whyte and Broom, and he receives his pay biweekly. His annual salary is $21,350.

To calculate Eddie's biweekly pay, we need to divide his annual salary by the number of pay periods in a year. Since Eddie receives his pay biweekly, there are 26 pay periods in a year (52 weeks divided by 2).

To find Eddie's biweekly pay, we can use the following formula:

Biweekly Pay = Annual Salary / Number of Pay Periods in a Year

Biweekly Pay = $21,350 / 26

Biweekly Pay ≈ $821.15 (rounded to the nearest cent)

Therefore, Eddie's biweekly pay is approximately $821.15.

Please let me know if there's anything else I can help you with.

Alli <3

Final answer:

Eddie's biweekly salary is $821.15 and his annual salary is $21,350.

Explanation:

The subject of this question is Mathematics. Given that Eddie is single and receives his pay biweekly, we need to calculate his biweekly salary and then convert it to an annual salary. To calculate Eddie's biweekly salary, we divide his annual salary by the number of biweekly periods in a year. Since there are 26 biweekly periods in a year, we divide $21,350 by 26 to find that Eddie's biweekly salary is approximately $821.15.

To convert Eddie's biweekly salary to an annual salary, we multiply his biweekly salary by the number of biweekly periods in a year. Multiplying $821.15 by 26 gives us an annual salary of approximately $21,350.

Therefore, Eddie's biweekly salary is $821.15 and his annual salary is $21,350.

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Find each product or quotient. Use significant digits. 1,370 m 31.7 sa. 43 m/s
b. 43.218 m/s
c. 43.22 m/s
d. 43.2 m/s

Answers

I think you are asking for the quotient of the numbers because base from the choices the units are meters per second and the given has units of meters and seconds. So, the quotient of the numbers is 43.218 meters per second which is option B.

William cut two similar triangular slices of cheese with the dimensions shown below. Explain/ show work please

Answers

The ratio of side lengths is approximately 1.4.
We need to first figure out which sides correspond to which.

13/9.29 = 1.39935 which is close to 1.4, so the sides 13 cm and 9.29 cm are corresponding sides.

8/5.71 = 1.401 which is close to 1.4, so the sides 8 cm and 5.71 cm are corresponding sides.

That leaves the 7 cm side corresponding to the unknown side.

7 cm/1.4 = 5 cm

Answer: D. 5 cm

What is the value of x if 2x+5=10

Answers

Check the attachment below. Answer: 5/2
We need to rearrange to solve this
2x+5=10
2x=5
X=2.5

Which expressions are equivalent to 16x4 − 64? Check all that apply. 16x4 + 16x – 16x – 64 16x4 – 8x – 8x – 64 (4x2 + 8)(4x2 – 8) 16(x2 + 2)(x2 – 2) 4(4x4 – 8)

Answers

The given expression is 16x^(4)-64.

It can be written as 16x^(4)+16x-16x-64.[ we can add or subtract the same thing]

The expression can be factored as difference of two squares

16x^(4)-64=[4x]^(2)-(8)^(2)=(4x^(2)+8)(4x^(2)-8)

The common factor of the two terms is 16

WE can take 16 as common factor:16x^(4)-64=16[x^(2)-2^(2)]

=16(x^(2)+2)(x^(2)-2)

Options  1 ,3,4 are the equivalent expressions.


16x^4 - 64

equivalent expressions are :
16x^4 + 16x - 16x - 64
(4x^2 + 8)(4x^2 - 8)
16(x^2 + 2)(x^2 - 2)

Aseem and Stana are building model cars. stanas car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of both cars is 20. write an equation to determine the lengths of Aseem's and Stana's cars

Answers

Answer:

Aseem’s : 8.3, Stana’s : 11.6

Step-by-step explanation:

Aseem: x

Stana: 2x-5

X+2x-5=20

3x=25

X = 8.3

Final answer:

The length of Aseem's car is approximately 8.33 and the length of Stana's car is approximately 11.66.

Explanation:

Let's define the length of Aseem's car as x. Stana's car is 5 less than 2 times the length of Aseem's car, so the length of Stana's car can be represented as 2x - 5. The sum of the lengths of both cars is 20, so we can set up the equation x + (2x - 5) = 20. Solving this equation will give us the lengths of Aseem's and Stana's cars.

Combining like terms, we get 3x - 5 = 20. Adding 5 to both sides of the equation, we have 3x = 25. Finally, by dividing both sides by 3, we find that x = 8.33.

The length of Aseem's car is approximately 8.33 and the length of Stana's car is approximately 2(8.33) - 5 = 11.66.

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