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kumpel [21]
3 years ago
10

Pensé dos números. Si los sumo obtengo 20. Si al doble del primer número le sumo 35 obtengo el segundo. ¿ qué número pensé?

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0
For this case, the first thing we must do is define variables:
 x: first number
 y: second number
 We now write the system of equations:
 x + y = 20
 y = 2x + 35
 Solving the system we have:
 x = -5
 y = 25
 Answer:
 
The numbers are:
 
x = -5
 
y = 25
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3 years ago
On a balanced scale are a 25-g mass, a 100-g mass, and five identical blocks marked X as shown. What is the mass of each block m
expeople1 [14]

Answer:

One block - 15

Two blocks - 30

Three blocks - 45

Four blocks - 60

Five blocks - 75

Equation: 25 + 5x = 100

Step-by-step explanation:

This is a pretty simple problem. The scale is balanced and from what we know, the 100 and 25 are on different sides. If we want the scale to be balanced, then we have to solve the equation:

25 + 5x = 100.

(We have the 5x because we have 5 blocks that are marked as x)

subtract 25 from both sides

25-25 + 5x = 100-25

5x = 75

the following step is to divide both sides by 5.

5x/5 = 75/5

x = 15

Now that the equation is solved, we know that ONE blocked marked as X equals 15-g.

(All five of them equal 75-g)

5 0
3 years ago
Write in slope-intercept form an equation of the line that passes through the given points.
pishuonlain [190]

Answer:

y = x+5

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

m = (7-3)/(2 - -2)

   =(7-3)/(2+2)

  = 4/4

   = 1

The slope intercept form is

y = mx+b

y = x+b

Substitute a point in

7 = 2+b

Subtract 2 from each side

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A company produces widgets in three factories, A, B and C. Factory A produces 20% of the widgets, factory B produces 45% of the
agasfer [191]

Answer:

1.25% widgets from factory A fail.

Step-by-step explanation:

Probability of widgets that fail = 0.05

Probability of failing widget to belong from factory A = 0.25

Probability of failing widget to belong from factory B = 0.35

Probability of failing widget to belong from factory C = 0.40

Probability of factory A widgets failing = Probability of widgets failing * probability they belonged from factory A

Probability of factory A widgets failing = 0.05 * 0.25 = 0.0125

This probability stated as percentage: 1.25%

6 0
3 years ago
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