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Lorico [155]
2 years ago
14

A line passes through (4, 5) and (8, 9). Which equation best represents the line?

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
7 0

Answer:

that is the equation of the line, its slope is 1 and the y-intercept is 1 y = x + 1

Step-by-step explanation:

we can calculate the slope of this line passing through (4,5) and (8,9) like this:

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

m = (9 - 5)/(8 - 4)

m = 4/4

m = 1

so the slope is 1, and now we can use the equation of one point and the slope to write the line's equation:

y - y1 = m(x - x1)

y - 5 = 1*(x - 4)

y - 5 = x - 4

y = x + 1

that is the equation of the line, its slope is 1 and the y-intercept is 1



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A concession stand charges $2.50 for a bag of popcorn. The stand has already sold 30 bags of popcorn. How many more bags x of po
vesna_86 [32]

Answer:

The concession stands needs to sell 14 or more bags.

Step-by-step explanation:

Given that:

Cost per bag of popcorn = $2.50

Number of bags already sold = 30

Cost of 30 bags = 30*2.50 = $75

Bags needs to be sold to make $110 = x

2.50x + 75 ≥ 110

2.50x ≥ 110-75

2.50x ≥ 35

Dividing both sides by 2.50

\frac{2.50x}{2.50}\geq \frac{35}{2.50}\\x\geq 14

Hence,

The concession stands needs to sell 14 or more bags.

3 0
3 years ago
Show how Carly can work out 171/2% of 240 in her head
KATRIN_1 [288]

17 ½ % of 240

First option

Change  the fraction ½ to a decimal. It would be 0.5 ( 1 divided by 2)

½=0.5

You will add the whole number 17 to the result.

17 + 05 = 17.5

Now you will divide by 100 (percent)

17.5 /100  To divide a decimal by 100,  move the decimal point two places to the left.

17.5 /100 = 0.175   times 240

0.175 x 240 = 42

Second option

Change the percent to an improper fraction

17 ½= 35/2 (you have to multiply (2 x 17) plus 1 equals 35 over 2 ( keep the denominator). It will be 35/2.  Put the other number (240) over 100 and multiply.

35/2 x 240/100 = 42

There is another way . You can simplify

Cancel all the zeros that you have and start to reduce.

            6

7       12

35 x 24<span> 0   </span> =  42

2       10 0

 1          5

           1

17 ½ % of 240  =  42

5 0
3 years ago
Find the value of n<br><br><br><br><br>1) 15/40 =n/3​
stepladder [879]

Answer:

n = 1.125

Step-by-step explanation:

\frac{15}{40} = \frac{n}{3}

(Use Cross Product)

40n = 15 × 3

40n = 45

n = 1.125

7 0
2 years ago
If the expression ax(2x + y - 5) simplifies to 6x² +3xy - 15x, what is the value of a?
nata0808 [166]
Since:
ax(2x + y - 5) = 6x^2 +3xy - 15x,

we should factor X out of the second equation to find out the value of a:
6x^2 + 3xy - 15x =
x(6x + 3y - 15),

Now that we factored X out, to find a, we need to find the other common factor:

(6x + 3y - 15) / (2x + y - 5),

which is 3.

Hence the value of a is 3
3 0
3 years ago
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I need help finding the answer for this.​
Dmitry [639]
The Answer is 12 meters.
7 0
2 years ago
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