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marshall27 [118]
4 years ago
14

Tim has $30 he buys pens that cost $2.50 each until he has only 10 left if x represents the number of Penn's purchase by Tim thi

s situation can be represented by the equation 30-2.50x=10 how many pens did Tim buy?
Mathematics
1 answer:
garri49 [273]4 years ago
4 0
The answer to your question is x=8
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40 POINTS FOR THIS ALGEBRA WORD PROBLEM
skelet666 [1.2K]

Answer:

9

Step-by-step explanation:

let the number

=

x

then 4 times the number

=

4

x

and 4 times the number increased by 15

=

4

x

+

15

also 6 times the number

=

6

x

and 3 less than 6 times the number

=

6

x

−

3

equating the two expressions gives the equation

4

x

+

15

=

6

x

−

3

←

solve for x

subtract 6x from both sides

4

x

−

6

x

+

15

=

6

x

−

6

x

−

3

⇒

−

2

x

+

15

=

−

3

subtract 15 from both sides

−

2

x

+

15

−

15

=

−

3

−

15

⇒

−

2

x

=

−

18

divide both sides by

−

2

−

2

x

−

2

=

−

18

−

2

⇒

x

=

9

As a check

(

4

×

9

)

+

15

=

36

+

15

=

51

(

6

×

9

)

−

3

=

54

−

3

=

51

⇒

the number is 9

7 0
3 years ago
Read 2 more answers
Find the slope of the line passing through the points (-7.6) and (-7.-2).​
snow_lady [41]

Answer:

Undefined

Step-by-step explanation:

the equation for slope is y2-y1/x2-x1

(-2-6)/(-7-(7))= -8/0

This would leave you with an undefined slope.

7 0
3 years ago
Jeremy's father drives him to school in rush hour traffic in 20 minutes. One day there is no traffic, so his father can drive hi
umka21 [38]

Answer:

Step-by-step explanation:

18/60-12/60= 4 miles

just my guess

6 0
4 years ago
PLS HELP ITS DUE TODAY!!
dezoksy [38]

Answer:

y=20x75 is the answer

Step-by-step explanation:

You can basically eliminate other two choices since they are division

8 0
3 years ago
The vertices of a triangle are located at P(0, 0), Q(8, 6), and R(-3, 4). What is the perimeter of this triangle?
alexgriva [62]
I graphed the vertices and got a triangle but its very hard to solve its perimeter. Therefore, I identified right triangles to help me solve for the perimeter making each side the hypotenuse of each right triangle.
Pythagorean Theorem: a² + b² = c²
a = short leg ; b = long leg ; c = hypotenuse 

P(0,0) ; R(-3,4)
a = 3 ; b = 4 ; 
3² + 4² = c²
9 + 16 = c²
25 = c²
√25 = √c²
5 = c

P(0,0) ; Q(8,6)
a = 6 ; b = 8 
6² + 8² = c²
36 + 64 = c²
100 = c²
√100 = √c²
10 = c

Q(8,6) ; R(-3,4)
a = 2 ; b = 11
2² + 11² = c²
4 + 121 = c²
125 = c²
√125 = √c²
11.18 = c

Perimeter = 5 + 10 + 11.18 = 26.18
4 0
4 years ago
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