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Arturiano [62]
2 years ago
6

If a certain number is increased by 5 one half of the result is three-fifths of the excess of 61 over the number find the number

​
Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
8 0

Answer:

= 391/11

Let say number = N

a certain number is increased by 5

= N + 5

,one-half of the result

= (N + 5)/2

Three -fifths of the excess of 61 over the number.

= (3/5)(61 - N)

Equating both

(N + 5)/2  = (3/5)(61 - N)

multiplying by 10 both sides

=> 5(N + 5) = 6(61 - N)

=> 5N + 25 = 366 - 6N

=> 11N = 391

=> N = 391/11

Step-by-step explanation:

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Naddika [18.5K]

Answer:

(D) f(x+1)=2f(x)

Step-by-step explanation:

The sequence is:

-2\frac{2}{3}, -5\frac{1}{3}, -10\frac{2}{3}, -21\frac{1}{3}, -42\frac{2}{3}

Now,

-5\frac{1}{3} \div -2\frac{2}{3}=2\\-10\frac{2}{3} \div -5\frac{1}{3} =2

On continuous calculation, we would discover that the next term is gotten from the preceding term by multiplying it by 2.

Therefore for term f(x), the next term f(x+1) is:

f(x+1)=2f(x)

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2 years ago
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Use the drawing tool(s) to form the correct answers on the provided graph.
NISA [10]

Answer:

2x– 3y = –18

3x + y = -5

Converting the equation in slope-intercept form

2x-3y= -18

-3y= -2x-18

-3y= -(2x+18)

3y=2x+18

y=(2x+18)/3

And for equation 2

y= -5-3x

For plotting the graph, the online graphing calculator desmos.com can be used.

The points can be calculated by putting negative and positive values of x in both equations.

The graph is attached as a picture.

As we can see from the graph that two lines intersect at (-3,4) so it is the solution of the given system of linear equations.

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Simplify the expression
Jet001 [13]

Answer: C

Step-by-step explanation:

48/64=3/4

a^(4-2)x b^(3-2)x c^(1-2)=a^2xb/c

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2 years ago
A flour canister is 25 cm tall and has a diameter of 20 cm. It is filled to 3 cm from top. what volume of flour does it contain?
Mama L [17]
Volume of a cylinder= πr²h.
So pi always =3.14.
The radius is half the diameter: 20/2=10.
The height is the height of the flour in the canister: 25-3=22.

So V=3.14(10²)(22).
V=3.14(100)(22).
V=314(22).
V=6,908 cm³ :)
6 0
2 years ago
A candy store sells caramels and milk chocolate by the pound the table below shows the total cost in dollars for a pound of each
MakcuM [25]

The cost of 1\frac{3}{4} pounds chocolate milk is $6.25 more than the cost of 1\frac{3}{4} pounds of Caramel.

Step-by-step explanation:

Given,

Cost of one pound of Caramels = $10.28

Cost of 1\frac{3}{4} pounds of Caramel = 10.28*1\frac{3}{4}

Cost of 1\frac{3}{4} pounds = 10.28*\frac{7}{4}=\frac{71.96}{4}= \$17.99

Cost of one pound of chocolate milk = $13.85

Cost of 1\frac{3}{4} pounds = 13.85*1\frac{3}{4}=13.85*\frac{7}{4}

Cost of 1\frac{3}{4} pounds = \frac{96.95}{4}=\$24.24

Difference = 24.24 - 17.99 = $6.25

The cost of 1\frac{3}{4} pounds chocolate milk is $6.25 more than the cost of 1\frac{3}{4} pounds of Caramel.

Keywords: difference, multiplication

Learn more about multiplication at:

  • brainly.com/question/10414011
  • brainly.com/question/10483199

#LearnwithBrainly

5 0
2 years ago
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