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sweet-ann [11.9K]
3 years ago
13

Please help. 3 more than 2 times a number is equal to that number plus 4. What is the number?

Mathematics
2 answers:
Sliva [168]3 years ago
4 0

Answer:

Let n = the unknown number.

The English sentence, "Three more than twice a number n is equal to the number n," can be translated mathematically into the following equation:

2n + 3 = n

Subtracting 3 from both sides, we get:

2n + 3 - 3 = n - 3

2n + 0 = n - 3

2n = n - 3

Now subtract n from both sides to isolate and solve for n:

2n - n = n - n - 3

(2 - 1)n = 0 - 3

(1)n = -3

n = -3

CHECK:

2n + 3 = n

2(-3) + 3 = -3

-6 + 3 = -3

-3 = -3

Therefore, n = -3 is the desired number.

Katarina [22]3 years ago
3 0

Answer:

number is 1

Step-by-step explanation:

let the number be n , then 2 times the number is 2n and 3 more than this is

2n + 3 , so

2n + 3 = n + 4 ( subtract n from both sides )

n + 3 = 4 ( subtract 3 from both sides )

n = 1

That is the number is 1

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3 years ago
Christina paints canvases and sells the pieces at craft fairs. The function c(t) approximates how many canvases she paints per h
dsp73

Answer:

The units of measurement for the composite function c(w(h)) is canvases over weeks.

Step-by-step explanation:

Given :

The function c(t) approximates how many canvases she paints per hour.

The function w(h) represents how many hours per week Christina spends painting the canvases.

To Find: What are the units of measurement for the composite function c(w(h))?

Solution:

C(t)= canvases paints per hour

W(h)=hours per week

C(w(h)) =canvases paints per hour * hours per week

C(w(h)) =canvases per week

So, Option 3 is true

Hence , the units of measurement for the composite function c(w(h)) is canvases over weeks.

7 0
3 years ago
Choose all that give the correct expression for the quantity described. The difference of nine times a number x and the quotient
ohaa [14]

Step-by-step explanation:

We are to get the expression for the following statements;

1) The difference of nine times a number x and the quotient of that number and 5.

The product of nine and a number x is expressed as;

=9 \times x\\= 9x

The quotient of that number and 5.

= \frac{x}{5}

The difference between both expression;

9x - \frac{x}{5}

Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as 9x - \frac{x}{5}

2) Eight more than the quotient of twelve and a number n

Quotient of twelve and a number n is expressed as:

\frac{n}{12}

Eight more than the resulting function is;

\frac{n}{12}+8

Hence eight more than the quotient of twelve and a number n is expressed as \frac{n}{12}+8

3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.

Let the number be x:

six minus the number is expressed as;

6-x

product of a number x and the quantity 'six minus the number is;

x(6-x)

quotient of eight and the number is;

\frac{8}{x}

Taking the resulting sum of the last two expression

x(6-x) + 8x

Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;

x(6-x) + 8x

4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).

Let the first even number be 2x

The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2

the sum of three consecutive even integers is expressed as;

= 2x +(2x+2)+(2x+2+2)\\=  2x+(2x+2)+(2x+4)

4 0
3 years ago
14.371 value of 1 in decimal form
artcher [175]
0.001. hope that helped
7 0
4 years ago
Evaluate the expression -4x+5y-14 when x=0 and y= 3/5​
emmainna [20.7K]

Answer:

-11

Step-by-step explanation:

Plug in 0 for x and 3/5 for y into the expression

-4(0) + 5(3/5) - 14

Multiply the numbers inside the parentheses

0 + 3 - 14

3 - 14 = -11, which is your answer

5 0
3 years ago
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