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3 years ago

Write an algebraic expression to represent the number of pens that can be bought with 30 cents if each pen costs c cents

1 answer:

5 0

Let's introduce another variable, let 'n' be any Natural Number (numbers from 1 to infinity). The number of pen you can by is given by:

n=30/c

n is your answer in this expression

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Find P on AB that is 2/3 of the distance from A(-3,-5) to B(9,4).

Ludmilka [50]

A line segment can be divided into ratios.

The coordinate of P on line segment AB is (5,1)

Given

$A = (-3,-5)$

$B = (9,4)$

The position of P from A to B is:

$P_A = \frac 23$

So, from P to B would be:

$P_B =1 - \frac 23$

$P_B = \frac 13$

So, the ratio is:

$m : n = \frac 23 : \frac 13$

Simplify

$m : n = 2 :1$

The coordinate of point P is:

$P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

So, we have:

$P = (\frac{2 \times 9 + 1 \times -3}{2 + 1},\frac{2 \times 4 + 1 \times -5}{2 + 1})$

$P = (\frac{15}{3},\frac{3}{3})$

$P = (5,1)$

Hence, the coordinate of P is (5,1)

Read more about line ratios at:

brainly.com/question/8847082

8 0

2 years ago

WILL MARK AS BRAINLIEST IF CORRECT!

yuradex [85]

Answer:

Your answer is A:5

3 0

2 years ago

Solve the following system of equations.

timofeeve [1]

+8y and -8y cross out.

So the first one is 3x=15
Second one is 2x=10

x=5
Then plug x is one of the equations

2(5)-8y=10
10-8y=10

x=5
y=0

3 0

3 years ago

Read 2 more answers

Asafa runs 0.75 kilometers in 6 minutes. Jemaine runs 3,000 meters in half an hour. Who ran at a faster rate?

Lorico [155]

Answer:

Asafa ran at a faster rate

Step-by-step explanation:

Asafa's speed:

0.75 km/ 6 min = 750 m/ 6 min = 125 m/min

Jemaine's speed:

3000 m / 30 min = 100 m/min

Asafa ran at faster rate as 125 m/min > 100 m/min

5 0

3 years ago

A television normally sells for $320 this week it’s on sale for 60% off the normal price what is the price of the sale

stira [4]

Answer:

128 dollars

Step-by-step explanation:

You would multiply 60 (that's the percentage off) by 320 ( the price of the T.V) and then subtract the answer you got from multiplying the two from the original price of the T.v (320)

Hope this helps

6 0

2 years ago