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Nat2105 [25]
3 years ago
10

The sum of three numbers is 137. The second number is 4 more than two times the first number. The third number is less than thre

e times the first number. Find the three numbers.
Mathematics
1 answer:
kozerog [31]3 years ago
4 0

Answer:

23, 50, 64

Step-by-step explanation:

137 = 23 + 50 + 64

Let the first number be x

Second number: 2x+4

Third number: 3x-5

Write the equation:

x + (2x + 4) + (3x-5) = 137

Solve for "x"

6x - 1 = 137

6x = 138

x = 23

Plug x (23) into the equation:

x + (2x + 4) + (3x-5) = 137

23 + 2(23) + 4 + 3(23) - 5 = 137

(23 + 46 + 4 + 69) - 5 = 137

142 - 5 = 137

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Expand (3 + x)5 and identify each part of the expression.
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Is 35 squared more than 115 squared to the power of 3
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6 0
3 years ago
Julie and Eric row their boat (at a constant speed) 55 miles downstream for 5 hours, helped by the
Archy [21]

Answer: C = 3 mph is the rate of the current.

Step-by-step explanation:

Hey there!

<u />

<u>You can use the distance formula (d = rt) to solve this problem.  </u>

Downstream trip: d = 55 miles, t = 5 hours, and r = R + C  

R + C is their rowing speed (R) plus the rate of the current (C).  

Upstream trip: d = 55 miles, t = 11 hours, and r = R - C

R - C is their rowing speed (R) minus the rate of the current (C).  

Downstream: 55 mi. = (R + C)5 hrs. Divide both sides by 5: R + C = 11

Upstream: 55 mi. = (R - C)11 hrs. Divide both sides by 11: R - C = 5

<u>Calculations</u>

R + C = 11 Subtract C from both sides.

R = 11 - C Substitute this into: R - C = 5

(11 - C) - C = 5 Simplify and solve for C

11 - 2C = 5 Add 2C to both sides.

11 = 2C + 5 Subtract 5 from both sides.

6 = 2C Divide both sides by 2

C = 3 mph is the rate of the current.

~I hope I helped you! :)~

5 0
3 years ago
I need help with my math
Ket [755]

Step 1: Pick any two points

The points are represented as (x1,y1), (x2,y2).

where x1= -4, y1= -8, x2= 0, y2= 4

Step 2: Write out the formula of the equation to use

\frac{y-y_1}{x-x_1}=\text{ }\frac{y_2-y_1}{x_2-x_1}

Step 3: Substituting the values and to get the equation

\begin{gathered} \frac{y-(-8)_{}}{x-(-4)}=\text{ }\frac{4-(-8)}{0-(-4)} \\ \frac{y+8}{x+4}=\frac{4+8}{0+4} \\ \frac{y+8}{x+4}=\text{ }\frac{12}{4} \end{gathered}\begin{gathered} \frac{y+8}{x+4}=\text{ 3} \\ \text{Cross multiply} \\ y+8=\text{ 3(x+4)} \\ y+8=\text{ 3x+12} \\ \text{Collect like terms} \\ y=\text{ 3x+12-8} \\ y=\text{ 3x + 4} \end{gathered}

The equation that represents the graph is y= 3x+4.

Option A is the correct answer.

5 0
1 year ago
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