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3 years ago

One number is seven less than two times another. If their sum is decreased by four, the result is one. Find the numbers.

Mathematics

1 answer:

allsm [11]3 years ago

5 0

Answer:

(2n + k) - 7

Step-by-step explanation:

1. Let ''a number'' be presented as n

2. ''twice a number'' → 2 n

3. ''twice a number and k'' → 2n + k

4. 7 less than twice a number → (2h + k) - 7

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Find the sum of the sequence. 42+43+44+45+...+107

8090 [49]

Answer:

4917

Step-by-step explanation:

Given sequence:

42, 43, 44, 45, ..., 107

This is AP with common difference of 1, the first term of 42 and the last term of 107

Number of terms:

107 - 42 + 1 = 66

Sum of the terms:

Sₙ= 1/2*n*(a₁+aₙ)

Sₙ= 1/2*66*(42+107) = 4917

Answer is: 4917

8 0

3 years ago

15. Find the length of segment DE of the triangle ABC.

ruslelena [56]

Answer:

Option C. $26\ units$

Step-by-step explanation:

we know that

Triangles ADE and ABC are similar by AA similarity postulate

AB=2AD

Apply proportion

$\frac{AD}{AB}=\frac{8x-6}{12x+4}\\ \\\frac{AD}{2AD}=\frac{8x-6}{12x+4}\\ \\\frac{1}{2}=\frac{8x-6}{12x+4}\\ \\12x+4=16x-12\\ \\16x-12x=4+12\\ \\4x=16\\ \\x=4\ units$

Find the length of segment DE

$DE=8x-6=8(4)-6=26\ units$

4 0

3 years ago

-3(2z - 8d) use z = 6 and d = 7

Ad libitum [116K]

Answer:

132

Step-by-step explanation:

1. -3(2z-8d) Solve within the parenthesis.

2. 2(6)=12, 8(7)=56

3. Do the math within the parenthesis with our new integers. 12-56=-44

4. multiply both integers now. -3(-44) = 132

*a negative times a negative wil give you a positive answer.

4 0

3 years ago

Read 2 more answers

Find the HCF using prime factors of 36 and 54

nataly862011 [7]

Answer:

Step-by-step explanation:

2x18 is 36 and 3x18 is 54

8 0

2 years ago

We are in school 9 months out of the year. What percent of the year are we in school?

Igoryamba

There are 12 months in a year.

Divide 9 by 12 then multiply by 100 to get the percentage.

9/12 = 0.75 x 100 = 75%

Answer: 75%

6 0

2 years ago