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Svetach [21]
3 years ago
6

One positive number is 1/5 of another number. The difference between the two numbers is 60. Find the numbers.

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0

Answer:

<h2>15 and 75</h2>

Step-by-step explanation:

n-second\ number\\\\\dfrac{1}{5}n-first\ number\\\\n-\dfrac{1}{5}n=\dfrac{4}{5}n-difference\ between\ the\ two\ numbers\\\\\text{Equation:}\\\\\dfrac{4}{5}n=60\qquad\text{multiply both sides ny 5}\\\\\not5\cdot\dfrac{4}{\not5}n=(5)(60)\\\\4n=300\qquad\text{divide both sides by 4}\\\\\dfrac{4\!\!\!\!\diagup n}{4\!\!\!\!\diagup}=\dfrac{300}{4}\\\\n=75\\\\\dfrac{1}{5}n=\left(\dfrac{1}{5}\right)(75)=\dfrac{75}{5}=15

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a number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and1. How ma
NeX [460]

Answer:

There is NO solution

Step-by-step explanation:

Considering 'y' be the number

Considering x be the smaller number

As 'y' is equal to twice a smaller number plus 3.

so

y = 2x + 3

also

y is equal to twice the sum of the smaller number and 1.

so

y = 2x + 1

so the system of equations become

y = 2x + 3

y = 2x + 1

solving

\begin{bmatrix}y=2x+3\\ y=2x+1\end{bmatrix}

\mathrm{Subsititute\:}y=2x+1

\begin{bmatrix}2x+1=2x+3\end{bmatrix}

\mathrm{Refine\:}2x+1=2x+3

-2=0

-2=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}

\mathrm{No\:Solution}

Therefore, there is NO solution.

7 0
3 years ago
if 2/5 of a ton of concrete covers 5/6 of a wall, how many tons of concrete are required to cover the entire wall?
Valentin [98]
Your answer would be 12/25 tons. If you set up a proportion  2/5             X
                                                                                       --------   =   -------
                                                                                        5/6             1
Solve your proportion.    
8 0
3 years ago
Read 2 more answers
NEED THIS ASAPWrite the standard form of the equation of each line given the slope and y-intercept
Mama L [17]

<em>Note:</em>

<em>Your first question is missing the y-intercept, so I am solving the 2nd question. You would still get your concept clear because the procedure to solve each of the questions is the same.</em>

                                            Question 2

Answer:

The equation in the standard form is:

  • 2/3x + y = -4

Please also check the attached graph.

Step-by-step explanation:

We know that the equation in the standard form is

Ax + By = C

where x and y are variables and A, B and C are constants

Given

  • Slope m = -2/3
  • y-intercept = -4

To determine

  • Write the equation in the standard form

We know that the slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

In our case:

  • Slope m = -2/3
  • y-intercept = -4

substituting m = -2/3 and y-intercept b = -4 in the slope-intercept of the line equation

y = mx+b

y = -2/3x  + (-4)

y = -2/3x - 4

Writing the equation in the standard form

2/3x + y = -4

Therefore, the equation in the standard form is:

  • 2/3x + y = -4

Please also check the attached graph.

4 0
3 years ago
In 1789, the dimensions expanded to 96 feet by 32. What was the perimeter?
irakobra [83]
The perimeter is 256 feet.

96 + 96 + 32 + 32 = 256.
8 0
3 years ago
Read 2 more answers
6) Bill found a pair of jeans that cost $35.00. If he had a 20%-off coupon, how much would the
kodGreya [7K]
20% of 35 is 7, so you would be getting the jeans for 28, not including tax
3 0
1 year ago
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