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Degger [83]
3 years ago
11

PLEASE HELP. ITS TIMED. Which pair shows equivalent expressions?

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0
It’s the last option :)))
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how many numbers between 650 and 780 leave remainders of 4 and 6 when divided by 7 and 11 respectively? pls help lol im desperat
Tanya [424]

Answer:

18 numbers between 650 and 780 leave remainders of 4 when divided by 7.

12 numbers between 650 and 780 leave remainders of 6 when divided by 11.

Step-by-step explanation:

1. Number 655 is the smallest number that leaves the remainder of 4 when divided by 7. Number 774 is the greatest number that leaves the remainder of 4 when divided by 7. So,

a_1=655\\ \\a_n=774\\ \\d=7\\ \\a_n=a_1+(n-1)d\Rightarrow 774=655+7(n-1)\\ \\7(n-1)=774-655\\ \\7(n-1)=119\\ \\n-1=17\\ \\n=17+1=18

2. Number 655 is the smallest number that leaves the remainder of 6 when divided by 11. Number 776 is the greatest number that leaves the remainder of 6 when divided by 11. So,

a_1=655\\ \\a_n=776\\ \\d=11\\ \\a_n=a_1+(n-1)d\Rightarrow 776=655+11(n-1)\\ \\11(n-1)=776-655\\ \\11(n-1)=121\\ \\n-1=11\\ \\n=11+1=12

7 0
4 years ago
Read 2 more answers
In a square, doubling every side increases the area by 27 units. What is the length of side of the newly formed square? a) 3 b)
MatroZZZ [7]
<h3>Answer:  B) 6</h3>

===========================================================

Explanation:

x = original side length

2x = double the side length

The old area is x^2. The new square area is (2x)^2 = 4x^2

new area = (old area) + 27

4x^2 = x^2 + 27

4x^2-x^2 = 27

3x^2 = 27

x^2 = 27/3

x^2 = 9

x = sqrt(9)

x = 3

The old original square has a side length of 3 units.

The new larger square has a side length of 2x = 2*3 = 6 units which is the final answer (choice B)

old area = 3^2 = 9

new area = 6^2 = 36

The jump from 9 to 36 is +27 to help confirm the answer.

6 0
2 years ago
Read 2 more answers
Kim read 3 books in 2 hours. She took the same amount of time to read the
sergeinik [125]

Answer: Kim took 50 minutes to read the third book.

Step-by-step explanation: If you substract 120 - 15 = 105. Then divide 105 / 3 = 35. And finally add 35 + 15 = 50.

5 0
3 years ago
A cafeteria measures 40 feet by 60 feet. Which is the correct unit of measurement to figure out how much tile is needed to cover
umka21 [38]
Square foot measures area.
Foot is a linear measure; cubic foot is volume.
Since this is a surface, it is B
8 0
3 years ago
Read 2 more answers
©<br> As an estimation we are told 5 miles is 8 km.<br> Convert 62.5 miles to km.
Gelneren [198K]

Answer:

100.584 KILOMETERS

Step-by-step explanation: cause i know it ❤

hope you get it right! love ya stranger

7 0
3 years ago
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