Ask question

Ask question

All categories

3 years ago

11

Lin read the first 54 pages from a 270-page book in the last 3 days. Diego read the first 100 pages from a 320-page book in the

last 4 days. Elena read the first 160 pages from a 480-page book in the last 5 days. If they continue to read every day at these rates, who will finish first, second, and third?

1 answer:

ale4655 [162]3 years ago

5 0

Answer:

The answer to your question is:

1st Diego

2nd Diego and Elena ( both 15 days)

Step-by-step explanation:

Data

Lin 54 pages 270-page book 3 days

Diego 100 pages 320 page 4 days

Elena 160 pages 480 page 5 days

Process

Lin

54 pages ------------------- 3 days

270 page ----------------- x

x = (270 x 3) / 54

x = 15 days

Diego

100 pages ----------------- 4 days

320 -------------------- x

x = (320 x 4) / 100

x = 12.8 days

Elena

160 pages ------------------- 5 days

480 pages -------------------- x

x = (480 x 5) / 160

x = 15 days

You might be interested in

The amount of revenue in dollars, y, that Makayla receives from selling x posters is given by the equation y = 3x. The cost of p

d1i1m1o1n [39]

Answer:

75 posters

Step-by-step explanation:

Given

$y = 3x$ ---- Revenue

$y = \frac{x}{3} + 200$ --Cost of production

Required

Determine the number of posters that when cost equals revenue

To do this, we simply equate both equations

i.e. $3x = \frac{x}{3} + 200$

Collect like terms.

$3x - \frac{x}{3} = 200$

Multiply through by 3

$3(3x - \frac{x}{3}) = 200*3$

$9x - x = 600$

$8x = 600$

Divide both sides by 8

$\frac{8x}{8} = \frac{600}{8}$

$x = \frac{600}{8}$

$x = 75$

5 0

3 years ago

Solve the equation,<br> —9x + 1 = -x + 17<br> №<br> ооооо<br> пппп<br> Noo

nika2105 [10]

Answer:

x = -2

Step-by-step explanation:

-9x + 1 = -x + 17

To solve this equation

Note if there is more than one variable like x, y, or z

Also note the power of the variables, for example, x^2 or y^3

In this equation, there is only one variable which is x and it's also in the power of 1 ie x

Step 1 : rearrange according to like terms

-9x + x = 17 - 1

( don't forget that the sign always change on crossing an equals to, either + to - or - to +

-9x + x (also means 9 - 1 but only carries a negative sign)

= - 8x = 16

Dividing both sides by -8 to get the value of x

-8x / 8 = 16 /- 8

x = 16/ -8

x = -2

5 0

3 years ago

the expression -50x + 100 represents the balance in dollars of a bank account after x months what is the rate of change in dolla

madreJ [45]

What’s the answer choices ?

4 0

4 years ago

A doctor can prescribe one of two drugs to treat a certain disease. Drug A will cure 75% of the cases but has unwanted side effe

Phoenix [80]

The total number of patients experienced unwanted side effects is 48

<u><em>Explanation</em></u>

60 patients are given drug A and drug A has unwanted side effects in 40% of the cases.

So, the number of patients experienced side effects for drug A = 40% of 60 $=(0.40*60)= 24$

Now 80 patients are given drug B and it has side effects in 30% of the cases.

So, the number of patients experienced side effects for drug B = 30% of 80 $=(0.30*80)= 24$

So, the total number of patients experienced unwanted side effects $= 24+24 =48$

3 0

4 years ago

Read 2 more answers

Given that P(x)=2x²+5x-5

IRISSAK [1]

Answer:

$(i) P(\frac{1}{2}) = 2*(\frac{1}{2})^2 + 5*\frac{1}{2} -5$

$=\frac{1}{2} +\frac{5}{2} -5\\\\=3-5 = -2$

$(ii) P(3) - Q(2) = 2(3^2)+5(3)-5 -[4(2^2) +3(2) +2]$

$= 18 + 15 -5 -16-6-2= 28-24 =4$

$(iii) P(x)\cdot Q(x) = (2x^2+5x-5)(4x^2-3x+2)$

$=2x^2(4x^-3x+2) +5x(4x^2-3x+2)-5(4x^2-3x+2)\\\\=8x^4 -14x^3 -11x^2 -10x-20x^2+15x-10\\\\=8x^4 - 14x^3 -31x^2 +5 -10$

$(iv) P(x) + Q(x) = 2x^2 +5x -5 + 4x^2 -3x +2$

$= 6x^2 +2x -3$

3 0

3 years ago