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Allisa [31]
3 years ago
13

Ten times a number, x, is one-half the sum of the number and three.

Mathematics
2 answers:
Marina86 [1]3 years ago
8 0

Answer:

10x=\frac{1}{2}(x+3)

Step-by-step explanation:

Let

x------> the number

we know that

The expression

"Ten times a number, x" ----->represent 10x

"one-half the sum of the number and three" ----->represent \frac{1}{2}(x+3)

therefore

The complete expression represent

10x=\frac{1}{2}(x+3)

Mademuasel [1]3 years ago
4 0
Given a number "x"
ten times this number is : 10x
one-half  the sum of the number and three= 1/2(x+3)

Therefore: 
The equation will be:
10x=1/2(x+3)

20x=x+3
20x-x=3
19x=3
x=3/19

Answer: the equation is :    10x=1/2(x+3) and the number is 3/19. 

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The cost of a pen at the office supply store is $2.65. the school store sells the pen for $3.45. How much does the school store
denis23 [38]

Answer:

30.1%

Step-by-step explanation:

The increase in price (markup) is ($3.45 - $2.65) = $0.80.

The increase in price (as a decimal fraction) is 0.80/2.65, or 0.301; as a percentate, this is 30.1%

7 0
3 years ago
hillary is cycling across montana taking a 845 mile course . the first week she covered.320 miles. the second week she traveled
Blababa [14]

Answer:

175 miles

Step-by-step explanation:

Hillary has travelled

320 + 350 = 670 miles

in the first two weeks.

Therefore, Hillary starts with 670 miles and needs to add a certain number of miles "x" to get 845 in total.

670 + x = 845

And if we subtract 670 from both sides:

x = 845 - 670 = 175

175 miles

3 0
3 years ago
What can be concluded about the sequence 19, 15, 11,
Mariulka [41]

Option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The question is incomplete.

The question is:

What can be concluded about the sequences 19, 15, 11, 7, . . . represented on the graph? Check all that apply.

  • The common difference of the sequence is the same as the slope of the graph.
  • The slope of the graph is –4.
  • The next term in the sequence is represented by point (4, 3).
  • f(x) = –4x + 19 represents the sequence.
  • An infinite number of points can be determined to follow this sequence.

The graph is attached to the picture please refer to the graph.

We have an arithmetic sequence:

19, 15, 11, 7,...

The first term is:

a = 19

Common difference d = 15-19 = -4

The nth term:

a(n) = 19 + (n-1)(-4)

a(n) = 19 -4n + 4

a(n) = -4n + 23

We can write above expression as:

f(x) = -4x + 23

Slope of the equation = -4

The correct options are:

  • The common difference of the sequence is the same as the slope of the graph.
  • The slope of the graph is –4.

Thus, an option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

4 0
2 years ago
Kevin drove 357 miles using 14 gallons of gas. At this rate, how many miles would he drive using 16 gallons of gas?​
Inessa [10]

Answer:

Kevin could drive 408 miles using 16 miles of gas.

Step-by-step explanation:

357 (1/14) = 25.5

25.5 (16) = 408

7 0
3 years ago
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